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 multiplication problem \\( 94 \\times 74 \\), we'll break it down into steps:\n\n1. **Break it into smaller parts**:\n splitting the multiplication into simpler steps.\n\n2. **Use the distributive property**:\n Expressing the problem as a combination of simpler multiplications.\n\n### Step 1... | [
"To solve the multiplication problem \\( 94 \\times 74 \\), we'll break it down into steps:\n\n1. **Break it into smaller parts**:\n splitting the multiplication into simpler steps.\n\n2. **Use the distributive property**:\n Expressing the problem as a combination of simpler multiplications.\n\n### Step 1: Brea... | 3506920013cb62a6063a9cafecd1e30d93ef201299844c139689e60654805de5 | 95bbc2cb45309aa5d9c1587d3aae09db449d9e60fa67b1df723146901666a85f | 5edcf3b4d5f63d095b027a02182f2783e2bcdb36e2d8210617364fcce9da2df1 | 1 | [
"6956"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: 'Therefore, the solution to the multiplication problem 94 x 74 is: \[ \boxed{6956} \]'. This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"6956"
] | [
true
] | [
{
"correct": true,
"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 b... | |
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 will break it down into smaller steps:\n\n1. **Multiply the units digit of one number by the units digit of the other:**\n - Here, the units digit of 31 is 1, and the units digit of 41 is 1.\n - \\( 1 \\times 1 = 1 \\).\n\n2. **Multiply ... | [
"To solve the long multiplication equation \\( 31 \\times 41 \\), we will break it down into smaller steps:\n\n1. **Multiply the units digit of one number by the units digit of the other:**\n - Here, the units digit of 31 is 1, and the units digit of 41 is 1.\n - \\( 1 \\times 1 = 1 \\).\n\n2. **Multiply the un... | a03e77b4cb35931279477ff67396bc4a30dd956e4376ed814c5f139dabb56ad7 | 8ccb2b6f30da4efcddbed56c09a1595fb49ccf928c02535a6102acad362a5369 | efbd1f26a54875e39972ccf7fa21a34f2491c850b2eba9636cb5478e595897b5 | 1 | [
"1271"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | 1. The first proposal of a final answer is found in the statement: "Therefore, the final product of \( 31 \times 41 \) is: \[ \boxed{1281} \]". This counts as the first proposal.
2. The first verification occurs when the model states: "Wait, how? Let's go back and double check our steps, especially the last one:". Th... | 3 | [
"1281",
"1281",
"1271"
] | [
false,
false,
true
] | [
{
"correct": false,
"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 (which is equivalent to multiplying by ... | |
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 multiplying the numbers in a vertical format:\n\n1. First, multiply 41 by 1:\n \\[\n 41 \\times 1 = 41\n \\]\n\n2. Next, multiply 41 by 3 (which is the same as multiplying 41 by 10 and then dividin... | [
"To solve the long multiplication equation \\(41 \\times 31\\), we can break it down into simpler steps by multiplying the numbers in a vertical format:\n\n1. First, multiply 41 by 1:\n \\[\n 41 \\times 1 = 41\n \\]\n\n2. Next, multiply 41 by 3 (which is the same as multiplying 41 by 10 and then dividing by 1... | 9a95e2b6f770ad1cddc0aa76c9beb5950853c9798bc4d80e3f181e6ecf6fd8fd | 83963bc97deb94d50fa072fa21434d6a74eb6ddb6d3ab2d720629c492c0529c1 | efbd1f26a54875e39972ccf7fa21a34f2491c850b2eba9636cb5478e595897b5 | 1 | [
"1271"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.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 break it down into smaller steps and solve each part separately. Then we will combine the results. Here is the step-by-step process:\n\n1. **Break down the numbers:**\n \\[\n 48 = 40 + 8\n \\]\n \\[\n 64 = 60 + 4\n \\]\n\n2. *... | [
"To solve the long multiplication equation \\(48 \\times 64\\), we will break it down into smaller steps and solve each part separately. Then we will combine the results. Here is the step-by-step process:\n\n1. **Break down the numbers:**\n \\[\n 48 = 40 + 8\n \\]\n \\[\n 64 = 60 + 4\n \\]\n\n2. **Multi... | e94a268416eba9204077a4688b5c7a1c98b71008bf6bfbee08af69f977ba8d4d | 3e1a83ac555f8f02c464e007ce67804d680f398c1ab871c272c6c03f431d591b | 82147211de4c4b846e2cf7a2edac668990dff673d07bebcb2c9eae6aeb2c5963 | 0 | [
"2072"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "So, the solution to the equation 48 x 64 is \(\boxed{2072}\)." This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"2072"
] | [
false
] | [
{
"correct": false,
"reasoning": "To evaluate 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. The provided solution states that the answer is 2072, which is incorrect.\n\n3. The ground truth solution correctly st... | |
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 break it down into smaller steps and solve each part separately. Then we will combine the results. Here is the step-by-step process:\n\n1. **Break down the numbers:**\n \\[\n 48 = 40 + 8\n \\]\n \\[\n 64 = 60 + 4\n \\]\n\n2. *... | [
"To solve the long multiplication equation \\(48 \\times 64\\), we will break it down into smaller steps and solve each part separately. Then we will combine the results. Here is the step-by-step process:\n\n1. **Break down the numbers:**\n \\[\n 48 = 40 + 8\n \\]\n \\[\n 64 = 60 + 4\n \\]\n\n2. **Multi... | 505329ab00a3c8d1267202bf0a03ebc9ca63b3e9656552959bcdedf7c17958b3 | 3e1a83ac555f8f02c464e007ce67804d680f398c1ab871c272c6c03f431d591b | 82147211de4c4b846e2cf7a2edac668990dff673d07bebcb2c9eae6aeb2c5963 | 0 | [
"2072"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "So, the solution to the equation 48 x 64 is \(\boxed{2072}\)." This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"2072"
] | [
false
] | [
{
"correct": false,
"reasoning": "To evaluate 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. The provided solution states that the answer is 2072, which is incorrect.\n\n3. The ground truth solution correctly st... | |
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 these steps:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 69 \\\\\n \\times 66 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 69 by 6 in the ones place:**\n\n \\[\n 69 \\times 6 = 414\n \\]\n... | [
"To solve the long multiplication equation \\( 69 \\times 66 \\), we will follow these steps:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 69 \\\\\n \\times 66 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 69 by 6 in the ones place:**\n\n \\[\n 69 \\times 6 = 414\n \\]\n\n W... | e0638cb89d49ee49ea55a3ad9ca7ddd6170637d72a47920527a3953f355edb16 | d28934273dc1d0c80c02161e1d0758e36d4c7f9797250ca7b1d5b70647a66931 | c59ba22287efed2c760a4823f839d75e55aca4cde59995e7f0ca4a69719c66ba | 1 | [
"4554"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "Therefore, 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 perform the long multiplication 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. No... | |
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 13 by 8 (the units digit of 58).\n \\[\n 13 \\times 8 = 104\n \\]\n - Next, multiply 13 by 5 (the tens digit of 58).\n \\[\n... | [
"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 13 by 8 (the units digit of 58).\n \\[\n 13 \\times 8 = 104\n \\]\n - Next, multiply 13 by 5 (the tens digit of 58).\n \\[\n 1... | 5fc73e50e37f3dcb77f1e8e2170849fa0336d721bd4b6487a563d3eac4cebd59 | 4e86266d260333c3af59ac66444dfd29717e2bd7b0cc3d89046a466c2f33c2e5 | 4099ed5ba70aebc5a9dc26bc2093d4b45839f99b306bd12f68cedfd351e6ab7a | 0 | [
"169"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | 1. The first proposal of a final answer is found in the statement: "Thus, 58 x 13 = 169." This is a clear conclusion of the multiplication process. 2. The verification occurs when the model states: "Hold on, let me verify this answer." It then performs calculations to check the previous answer, leading to a new conclus... | 2 | [
"169",
"754"
] | [
false,
true
] | [
{
"correct": false,
"reasoning": "To solve the multiplication of 58 by 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), but since it's in the tens place, we actually multiply by 10:\n - 58 x 1 = 58, and... | |
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 \\), follow these steps:\n\n1. **Write the numbers in a column format where the tens place is on top:**\n\n\\[\n\\begin{array}{c@{}c@{}c@{}c}\n& & & 2 & 0 \\\\\n& \\times & 8 & 0 \\\\\n\\end{array}\n\\]\n\n2. **Multiply 20 by 0 (the units digit of 8... | [
"To solve the long multiplication equation \\( 20 \\times 80 \\), follow these steps:\n\n1. **Write the numbers in a column format where the tens place is on top:**\n\n\\[\n\\begin{array}{c@{}c@{}c@{}c}\n& & & 2 & 0 \\\\\n& \\times & 8 & 0 \\\\\n\\end{array}\n\\]\n\n2. **Multiply 20 by 0 (the units digit of 80):**\... | a946c053b5814fe447c15bac4fed4d05c7c2b1e5cbb263f4a51773c4a9f70fa4 | 9e646a8b4c51eaa86581a9a5b906310525b28ff12e232d6b8b819c89eebcaaa6 | b458944d9ec4322f9ff0de2885ce82d580341fcf0fd688422e9929b6e7ce3b2d | 0 | [
"160"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | 1. The first proposal of a final answer is when the model states, "So, the solution to the multiplication 20 x 80 is: \boxed{160}". This counts as the first proposal.
2. The second proposal is when the model concludes, "So, the final answer is \boxed{160}." This is a reiteration of the final answer, counting as the s... | 3 | [
"160",
"160",
"160",
"160"
] | [
false,
false,
false,
false
] | [
{
"correct": false,
"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 correc... | |
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 8 by 2:**\n \\[\n 8 \\times 2 = 16\n \\]\n\n2. **Multiply 80 by 0:**\n \\[\n 80 \\times 0 = 0\n \\]\n\n3. **Add the results from steps 1 and 2:**\n \\[\n 16 + 0 = 16\n \\... | [
"To solve the long multiplication equation \\(80 \\times 20\\), we can break it down into simpler steps:\n\n1. **Multiply 8 by 2:**\n \\[\n 8 \\times 2 = 16\n \\]\n\n2. **Multiply 80 by 0:**\n \\[\n 80 \\times 0 = 0\n \\]\n\n3. **Add the results from steps 1 and 2:**\n \\[\n 16 + 0 = 16\n \\]\n\nT... | 6c0c2141d0596c6b716f334e6d9389e84f36d5bfd594a7e05106023c1c7629f2 | 769affaff23cc62360da1bf80dbf8c073928ed7126e00b224fc1dd797d1daab8 | b458944d9ec4322f9ff0de2885ce82d580341fcf0fd688422e9929b6e7ce3b2d | 1 | [
"1600"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "Therefore, the solution to 80 x 20 is \(\boxed{1600}\)." 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 | [
"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 (20 = 2 x 10), we need to account for the zero in the tens place. \n Therefore, we multip... | |
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 & 6 & 6 \\\\\n \\times & 9 & 7 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 66 by 7... | [
"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 & 6 & 6 \\\\\n \\times & 9 & 7 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 66 by 7 (the ... | b43bff8d81e370fb280925fb8f883017a4d175622c585e1d1bd31ecab26d9860 | 1d590e22b4f1b80d92c57241abfa679ebc1ef7b2f823cd5087239b40eafadb5c | e50271b2ab1592e4586f4435ccc103a76f80498eb9cb86fbb4e95a0ee54ddc4e | 0 | [
"6542"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | 1. The first proposal of a final answer is found in the statement: "So, the solution to the long multiplication equation 66 x 97 is \(\boxed{6542}\)." This clearly states the final answer, which counts as one proposal. 2. The verification occurs in the line: "66 \times 97 = 6542" where the model confirms the multiplica... | 2 | [
"6542",
"6542"
] | [
false,
false
] | [
{
"correct": false,
"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 re... | |
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 the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 9 & 7 \\\\\n \\times & 6 & 6 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 97 by 6... | [
"To solve the long multiplication equation \\( 97 \\times 66 \\), 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 & 9 & 7 \\\\\n \\times & 6 & 6 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 97 by 6 (the ... | 9ae6ae7342b63f662df6d684fd52b96636dd9d162b71eb6833f3fe387b170d96 | b721ccd0a77e28628bf0ed6a3ff00a3d3ac77c36b4089db72ed388a9154f2fa0 | e50271b2ab1592e4586f4435ccc103a76f80498eb9cb86fbb4e95a0ee54ddc4e | 1 | [
"6402"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.jsonl | gpt-4o-mini | 1. Proposal: 'So, the solution to the long multiplication equation 97 x 66 is \boxed{58782}.' This is a clear final answer proposal.
2. Verification: 'But I need to verify this. Let's break down 58200 to its components: - 582 \times 6 = 3492 - 58200 = 349200.' This is a verification of the previous answer (58782).
3.... | 5 | [
"58782",
"349200",
"6402",
"6402",
"5820"
] | [
false,
false,
true,
true,
false
] | [
{
"correct": false,
"reasoning": "To evaluate 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 ... | |
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 these steps:\n\n1. **Multiply the units digit of the first number by the units digit of the second number:**\n \\[\n 5 \\times 5 = 25\n \\]\n Write down the units digit, which is 5, and carry over the tens digit, which is 2... | [
"To solve the long multiplication equation \\(45 \\times 65\\), we will follow these steps:\n\n1. **Multiply the units digit of the first number by the units digit of the second number:**\n \\[\n 5 \\times 5 = 25\n \\]\n Write down the units digit, which is 5, and carry over the tens digit, which is 2.\n\n2... | 989070c832f5d116f20a8a3a7c9f2b2a48b9cb5f2c3e59e3d70a42ea51eed31f | 1307d88afe9d3df98959bf95d20c6e7dd70ca5d16d7c2c14329f5de286ccb44f | f0e3bd92f157f9b73ede82834286e7cea4044134b39d92ac3ee7e56392194241 | 0 | [
"2775"
] | samples_longmult_2dig_2025-05-28T18-33-17.558117.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 \(\boxed{2775}\)." This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"2775"
] | [
false
] | [
{
"correct": false,
"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 shift one position to the left (which is equivalent to multiplying by... |
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