question string | solution string | model_responses sequence | is_model_response_correct__correctness_reasoning sequence | is_model_response_correct__final_answer sequence | is_model_response_correct sequence | is_model_response_correct__correctness_prompt sequence |
|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
46 x 48
Think step by step. | 2208 | [
"To solve the long multiplication equation 46 x 48, follow these steps:\n\n1. Multiply the units digit of 46 (which is 6) by the units digit of 48 (which is 8). This gives 48.\n2. Put a carry of 4 to the tens column.\n3. Multiply the tens digit of 46 (which is 4) by the tens digit of 48 (which is 8). This gives 320... | [
"The model output concludes that 46 x 48 equals 3764. However, the correct solution to the multiplication is 2208. The steps provided in the model output contain errors in the calculations, particularly in the addition and multiplication steps, leading to an incorrect final answer.",
"The model output states that... | [
"3764",
"2308",
"652",
"2210",
"2148",
"3764"
] | [
false,
false,
false,
false,
false,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
88 x 71
Think step by step. | 6248 | [
"To solve the multiplication \\(88 \\times 71\\) step by step:\n\nStep 1: Break down 71 into 70 and 1.\n\\[88 \\times 71 = 88 \\times (70 + 1)\\]\n\nStep 2: Apply the distributive property to expand the expression.\n\\[= 88 \\times 70 + 88 \\times 1\\]\n\nStep 3: Calculate each term separately.\n\\[88 \\times 70 = ... | [
"The model output correctly follows the steps of long multiplication by breaking down the multiplication into manageable parts using the distributive property. It calculates each part accurately: 88 times 70 equals 6160, and 88 times 1 equals 88. The final addition of these two results (6160 + 88) gives 6248, which... | [
"6248",
"624.8",
"6248",
"7248",
"6248",
"N/A"
] | [
true,
false,
true,
false,
true,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
76 x 32
Think step by step. | 2432 | [
"Step 1: Break down the problem.\n\n76 times 32\n\nStep 2: Multiply 70 times 32 (70 x 32).\n\nStep 3: Multiply 6 times 32.\n\nStep 4: Add the results from steps 2 and 3 together.\n\nLet's compute it:\n\n70 x 32 = 2240 (Step 2)\n6 x 32 = 192 (Step 3)\n\n2240 + 192 = 2432 (Step 4)\n\nTherefore, the solution to 76 x 3... | [
"The model output correctly breaks down the multiplication of 76 by 32 into two simpler multiplications: 70 times 32 and 6 times 32. It then adds the results of these two multiplications together. The final answer is calculated as 2240 + 192, which equals 2432. This matches the provided solution of 2432.",
"The m... | [
"2432",
"2432",
"2432",
"2432",
"2272",
"2432"
] | [
true,
true,
true,
true,
false,
true
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
42 x 50
Think step by step. | 2100 | [
"To solve this problem, we'll multiply 42 by 50 step by step.\n\n1. **Multiply the units digit of the first number (2) by the second number (50):**\n - \\( 2 \\times 0 = 0 \\)\n - \\( 2 \\times 5 = 10 \\) (write down 0 and carry over 1)\n \n2. **Multiply the tens digit of the first number (4) by the second nu... | [
"The model output states that the final answer to the multiplication of 42 by 50 is 230. However, the correct solution to this multiplication is 2100. The reasoning in the output is flawed, particularly in the final step where it incorrectly combines the products and carries. Therefore, the parsed final answer does... | [
"230",
"230",
"2100",
"2100",
"23",
"2100"
] | [
false,
false,
true,
true,
false,
true
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
33 x 97
Think step by step. | 3201 | [
"To solve the long multiplication equation \\(33 \\times 97\\), we follow these steps:\n\nStep 1: Draw a table and set it up for multiplication. \n\n```\n 33\nx 97\n ---\n```\n\nStep 2: Multiply each digit of the second number (97) by the top number (33). First, multiply 7 by the entire 33, then 9.\n\n```\n ... | [
"The model output states that the final product of 33 x 97 is 31911. However, the correct solution provided is 3201. Therefore, the parsed final answer does not match the solution, indicating that the model output is incorrect.",
"The model output states that the multiplication of 33 and 97 gives a total product ... | [
"31911",
"30531",
"31,311",
"31911",
"31911",
"10971"
] | [
false,
false,
false,
false,
false,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
41 x 57
Think step by step. | 2337 | [
"Certainly! Let's break down the multiplication of 41 and 57 step by step.\n\n1. **First, let's write down the numbers vertically:**\n ```\n 41\n × 57\n ```\n\n2. **Multiply 41 by 7 (the digit in the units place of 57):**\n ```\n 41\n × 57\n ------\n 287\n ```\n\n3. **Next, multiply 41 ... | [
"The model output states that the product of 41 and 57 is 2277. However, the correct solution provided is 2337. Therefore, the final answer given by the model does not match the correct solution, indicating that the model's output is incorrect.",
"The model output concludes with the final answer of 4279, which is... | [
"2277",
"4279",
"2277",
"2342",
"2337",
"2277"
] | [
false,
false,
false,
false,
true,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
48 x 92
Think step by step. | 4416 | [
"To solve the multiplication problem \\( 48 \\times 92 \\), you can follow these steps:\n\n1) Multiply 48 by 2 (the ones digit of 92), which gives you 96, and remember to place a zero in the ones place since you're working with a single digit (ones and tens):\n \\( 48 \\times 2 = 960 \\)\n\n2) Multiply 48 by 9 (t... | [
"The model output states that the final answer to the multiplication problem is 1392. However, the correct solution to the multiplication of 48 and 92 is 4416, as provided in the solution. Therefore, the parsed final answer does not match the solution, indicating that the model's output is incorrect.",
"To determ... | [
"1392",
"4416",
"4336",
"1392",
"None",
"993"
] | [
false,
true,
false,
false,
false,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
41 x 50
Think step by step. | 2050 | [
"Step 1: Set up the multiplication as 41 multiplied by 50.\n\n41\nx 50\n------\n 2050\n\nStep 2: Multiply the numbers.\n\n41 (41 x 50)\n-------\n 2050\n\nSo, the solution to the long multiplication equation 41 x 50 is:\n\\boxed{2050}",
"incorrect. Let me correct this:\n\n41 x 50 = 2050 is actually correct bas... | [
"The model output correctly sets up the multiplication of 41 and 50, and it shows the result of the multiplication as 2050. The final answer is clearly stated as \\boxed{2050}, which matches the solution provided. Therefore, the reasoning confirms that the output is correct.",
"The model output states that the mu... | [
"2050",
"2050",
"2050",
"2050",
"2050",
"5100"
] | [
true,
true,
true,
true,
true,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
95 x 40
Think step by step. | 3800 | [
"Let's solve this step by step:\n\n1) First, let's recall the steps of long multiplication:\n - Multiply the units digit of the bottom number (4) by the top number's units digit (5).\n - Multiply the units digit of the bottom number by the top number's tens digit (if there is one).\n2) Look at the bottom number... | [
"The model output correctly identifies the multiplication of 95 by 40 and concludes with the correct final answer of 3800. The reasoning provided in the output explains the steps of long multiplication, although it contains a mistake in the explanation of the multiplication process. However, it ultimately arrives a... | [
"3800",
"380",
"3800",
"3800",
"3800",
"None"
] | [
true,
false,
true,
true,
true,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
24 x 90
Think step by step. | 2160 | [
"To solve the long multiplication equation 24 x 90, we need to multiply the following numbers:\n\n1. Multiply 2 (from 24) by 90. In essence, this is equivalent to multiplying 2 by 90 and then adding the zeros from the original 24. This gives us 180 (from the first 2) and then 90 carries over, making it 1800 in tota... | [
"The model output states that the solution to the multiplication of 24 x 90 is 5400. However, the correct solution, as provided, is 2160. The model's calculations for each step are incorrect, leading to an incorrect final answer. Specifically, the model incorrectly adds the results of the two multiplication steps, ... | [
"5400",
"2160",
"216",
"216",
"5400",
"5400"
] | [
false,
true,
false,
false,
false,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
61 x 55
Think step by step. | 3355 | [
"To solve the long multiplication equation \\( 61 \\times 55 \\), follow these steps:\n\n1. **Set up the multiplication**:\n\n```\n 61\nx 55\n------ \n```\n\n2. **Multiply each digit of the second number (55) by the first digit of the first number (6)**:\n\n - \\( 6 \\times 5 = 30 \\)\n - \\( 6 \\times 5 = 3... | [
"The model output correctly follows the steps of long multiplication for 61 and 55, ultimately arriving at the final answer of 3355. The addition of the two products (55 and 3000) is correctly calculated, confirming that the final answer is indeed 3355, which matches the provided solution.",
"The model output cor... | [
"3355",
"3355",
"3355",
"3355",
"3355",
"3355"
] | [
true,
true,
true,
true,
true,
true
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
50 x 26
Think step by step. | 1300 | [
"To solve the multiplication \\( 50 \\times 26 \\), we can break it down into simpler steps using direct multiplication and then simplifying.\n\n**Step 1: Break down the multiplication.**\n\\[ 50 \\times 26 \\]\n\n**Step 2: Use a quick method to double the 50 (or multiply it by 10) to make the calculation easier:**... | [
"The model output correctly breaks down the multiplication of 50 and 26 into manageable steps, ultimately arriving at the correct final answer of 1300. The calculations are accurate, and the final boxed answer matches the provided solution.",
"The model output correctly breaks down the multiplication of 50 and 26... | [
"1300",
"1300",
"1300",
"1300",
"1300",
"None"
] | [
true,
true,
true,
true,
true,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
28 x 27
Think step by step. | 756 | [
"To solve the long multiplication of \\( 28 \\times 27 \\), follow these steps:\n\nStep 1: Break down the problem into smaller parts. You can think of it as \\( (20 + 8) \\times (20 + 7) \\).\n\nStep 2: Multiply the digits on the top row with the digits on the bottom row, starting from the rightmost row:\n- \\( 8 \... | [
"The model output correctly follows the steps of long multiplication for the numbers 28 and 27. It breaks down the multiplication into manageable parts, calculates each step accurately, and combines the results correctly. The final answer is presented as 756, which matches the provided solution. Therefore, the reas... | [
"756",
"756",
"756",
"756",
"756",
"756"
] | [
true,
true,
true,
true,
true,
true
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
11 x 81
Think step by step. | 891 | [
"Certainly! Let's solve the long multiplication equation of \\( 11 \\times 81 \\) step by step.\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 11 \\\\\n \\times 81 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 11 by 1 (the ones digit of 81):**\n \\[\n 11 \\times 1 = 11\n ... | [
"The model output correctly follows the steps of long multiplication for 11 and 81, ultimately arriving at the final answer of 891. This matches the provided solution, confirming its correctness.",
"The model output does not provide a numerical answer to the multiplication problem. Instead, it suggests to 'Look a... | [
"891",
"None",
"891",
"",
"891",
"891"
] | [
true,
false,
true,
false,
true,
true
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
47 x 55
Think step by step. | 2585 | [
"To solve the multiplication of these numbers, you would follow the long multiplication process:\n\n 1. Multiply the units digits: 7 x 5 = 35\n 2. Write the 5, carrying the 3 to the tens column.\n 3. Multiply the tens digits: 7 x 5 = 35, then add the carried 3 = 38\n 4. Multiply the hundreds digits: 4 x 5 = 20,... | [
"The model output provides a step-by-step breakdown of the long multiplication process for 47 x 55. However, the final answer given is 2385, which does not match the correct solution of 2585. The steps leading to the final answer are incorrect, particularly in the addition of the carried values and the final summat... | [
"2385",
"2585",
"2695",
"8785",
"2585",
"2585"
] | [
false,
true,
false,
false,
true,
true
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
59 x 40
Think step by step. | 2360 | [
"To solve the long multiplication equation \\(59 \\times 40\\), we can break it down into simpler steps:\n\n1. **Multiply 59 by 0**: This is straightforward because any number multiplied by 0 equals 0. So \\(59 \\times 0 = 0\\).\n2. **Multiply 59 by 40**: \n\n - First, ignore the trailing zeros and multiply 59 by... | [
"The model output correctly breaks down the multiplication of 59 by 40 into manageable steps. It first calculates 59 multiplied by 4, which is 236, and then correctly adds the two trailing zeros from the 40, resulting in 2360. The final answer is clearly stated as 2360, which matches the provided solution.",
"The... | [
"2360",
"2360",
"2360",
"2360",
"None",
"None"
] | [
true,
true,
true,
true,
false,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
What is the solution to the long multiplication equation below?
12 x 47
Think step by step. | 564 | [
"To solve the multiplication problem \\(12 \\times 47\\) using the standard long multiplication method, follow these steps:\n\n1. Write down the numbers one below the other, aligning them to the right:\n\n\\[\n\\begin{array}{c@{}c}\n & 12 \\\\\n\\times & 47 \\\\\n\\end{array}\n\\]\n\n2. Multiply 12 by 7 (the units ... | [
"The model output concludes that the final product of the multiplication is 132, which is incorrect. The correct product of 12 and 47 is 564, as stated in the solution. The model's calculations for the partial products are also incorrect, leading to the wrong final sum.",
"The model output does not provide a nume... | [
"132",
"None",
"564",
"132",
"564",
"None"
] | [
false,
false,
true,
false,
true,
false
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 3