| {"id": "math-v1-A1-R3-133df093-sol", "prompt": "Compute 266 + 482.", "steps": ["First, I added the ones: 6 + 2 = 8, and wrote down 8.", "Next, I added the tens: 6 + 8 = 14, wrote down 4, and carried over 1.", "Then, I added the hundreds: 2 + 4 + 1 = 7, and wrote down 7.", "So, the answer is 748."], "labels": [1, 1, 1, 1], "outcome": "correct"} | |
| {"id": "math-v1-A1-R3-133df093-a0", "prompt": "Compute 266 + 482.", "steps": ["First, I added the ones: 6 + 2 = 8, and wrote down 8.", "Next, I added the tens: 6 + 8 = 14, and wrote down 4.", "Finally, I added the hundreds: 2 + 4 = 6, and wrote down 6.", "So, I got 648."], "labels": [null, null, null, -1], "first_error_step": 3, "outcome": "incorrect", "misconception_id": "MA01"} | |
| {"id": "math-v1-A2-R3-87cfbe93-sol", "prompt": "Compute 496 − 109.", "steps": ["Ones: borrow, 16 − 9 = 7", "Tens: (9 − 1 = 8 after the earlier borrow) 8 − 0 = 8", "Hundreds: 4 − 1 = 3", "So, 496 − 109 = 387"], "labels": [1, 1, 1, 1], "outcome": "correct"} | |
| {"id": "math-v1-A2-R3-87cfbe93-a0", "prompt": "Compute 496 − 109.", "steps": ["I subtracted the smaller digit from the larger in each column.", "Ones: 9 − 6 = 3.", "Tens: 9 − 0 = 9.", "Hundreds: 4 − 1 = 3.", "So, the answer is 393."], "labels": [null, null, null, null, -1], "first_error_step": 4, "outcome": "incorrect", "misconception_id": "MA02"} | |
| {"id": "math-v1-A2-R3-87cfbe93-a1", "prompt": "Compute 496 − 109.", "steps": ["I borrowed in the ones place and added 10, so 16 − 9 = 7.", "In the tens, 9 − 0 = 9.", "In the hundreds, 4 − 1 = 3.", "So, the answer is 397."], "labels": [null, null, null, -1], "first_error_step": 3, "outcome": "incorrect", "misconception_id": "MA03"} | |
| {"id": "math-v1-A3-R3-4b9b2ab3-sol", "prompt": "Compute 83 × 71.", "steps": ["First, I multiplied 83 by 1, which gives 83.", "Then, I multiplied 83 by 70, which gives 5810.", "Next, I added 83 and 5810, which gives 5893.", "So, the final answer is 5893."], "labels": [1, 1, 1, 1], "outcome": "correct"} | |
| {"id": "math-v1-A3-R3-4b9b2ab3-a0", "prompt": "Compute 83 × 71.", "steps": ["I started by multiplying 83 by 1, which gives 83.", "Then, I multiplied 83 by 7, which gives 581.", "Finally, I added 83 and 581 to get 664."], "labels": [null, null, -1], "first_error_step": 2, "outcome": "incorrect", "misconception_id": "MA04"} | |
| {"id": "math-v1-A4-R2-13473d44-sol", "prompt": "In the expression 25 − 6 × 7, which operation should be done first?\nA) 6 × 7, because multiplication comes before addition and subtraction.\nB) 25 − 6, because we always work from left to right.", "steps": ["First, handle multiplication before subtraction according to the order of operations.", "Calculate 6 × 7 to get 42, then subtract this from 25.", "The correct answer is A."], "labels": [1, 1, 1], "outcome": "correct"} | |
| {"id": "math-v1-A4-R2-13473d44-a0", "prompt": "In the expression 25 − 6 × 7, which operation should be done first?\nA) 6 × 7, because multiplication comes before addition and subtraction.\nB) 25 − 6, because we always work from left to right.", "steps": ["I always do operations from left to right, so I'll start with 25 − 6 first.", "Then I'll move on to the rest.", "So I pick B."], "labels": [null, null, -1], "first_error_step": 2, "outcome": "incorrect", "misconception_id": "MA05"} | |
| {"id": "math-v1-A5-R3-20854100-sol", "prompt": "Compute (−10) + (−9).", "steps": ["Start with (−10) + (−9).", "Adding two negative numbers means moving further to the left on the number line.", "So, (−10) + (−9) = −19.", "The final answer is −19."], "labels": [1, 1, 1, 1], "outcome": "correct"} | |
| {"id": "math-v1-A5-R3-20854100-a0", "prompt": "Compute (−10) + (−9).", "steps": ["I think when you add two negative numbers, the negatives cancel out and you get a positive.", "So, (−10) + (−9) should be the same as 10 + 9, which gives me 19."], "labels": [null, -1], "first_error_step": 1, "outcome": "incorrect", "misconception_id": "MA06"} | |
| {"id": "math-v1-A6-R3-11517438-sol", "prompt": "Compute (−8) × (−2).", "steps": ["To solve (−8) × (−2), remember that the product of two negative numbers is positive.", "So, we can rewrite it as 8 × 2 = 16."], "labels": [1, 1], "outcome": "correct"} | |
| {"id": "math-v1-B1-R3-2106807f-sol", "prompt": "Evaluate 7x + 1 when x = 5.", "steps": ["Replace x with 5 in 7x + 1, we get 7 × 5 + 1.", "First, compute 7 × 5, which equals 35.", "Then, add 1 to 35, resulting in 36.", "The final answer is 36."], "labels": [1, 1, 1, 1], "outcome": "correct"} | |
| {"id": "math-v1-B1-R3-2106807f-a0", "prompt": "Evaluate 7x + 1 when x = 5.", "steps": ["I plugged x = 5 into 7x + 1.", "Since 7x means joining 7 and 5, I got 75 + 1, which equals 76."], "labels": [null, -1], "first_error_step": 1, "outcome": "incorrect", "misconception_id": "MA09"} | |
| {"id": "math-v1-B2-R2-4a7f3441-sol", "prompt": "Can 5x + 9 be simplified to a single term?\nA) No. 5x and 9 are unlike terms, so 5x + 9 is already as simple as it gets.\nB) Yes, it simplifies to 14x.", "steps": ["5x and 9 are unlike terms because one has a variable and the other does not.", "Unlike terms cannot be combined into a single term.", "Therefore, 5x + 9 cannot be simplified further.", "The correct answer is A."], "labels": [1, 1, 1, 1], "outcome": "correct"} | |
| {"id": "math-v1-B2-R2-4a7f3441-a0", "prompt": "Can 5x + 9 be simplified to a single term?\nA) No. 5x and 9 are unlike terms, so 5x + 9 is already as simple as it gets.\nB) Yes, it simplifies to 14x.", "steps": ["I think 5x + 9 can be simplified to 14x because I add the number 9 to the coefficient 5 and then put the x at the end.", "So I pick B."], "labels": [null, -1], "first_error_step": 1, "outcome": "incorrect", "misconception_id": "MA11"} | |