{"case_id": "confuser-v1-0001", "question": "Dan has 50 coins. He buys a toy for 30 coins. How many coins does Dan have left?", "answer_numeric": 20, "category": "disguised-polarity", "surface_trap": "buys X for N -> spend N, not gain", "expected": "refuse", "pair_id": "confuser-v1-0002", "source": "structural: transaction spend, cf. gsm8k purchase problems", "notes": "buys is a gain verb but 'for 30 coins' is a spend; correct is 50-30"}
{"case_id": "confuser-v1-0002", "question": "Dan has 20 stamps. He buys 30 more stamps. How many stamps does Dan have?", "answer_numeric": 50, "category": "genuine-positive", "surface_trap": "buys (here a genuine gain)", "expected": "solve", "pair_id": "confuser-v1-0001", "source": "structural: accumulation twin of 0001", "notes": "minimal pair on 'buys'; here +30 is correct"}
{"case_id": "confuser-v1-0003", "question": "Sara has 18 dollars. She gets a haircut for 12 dollars. How many dollars does Sara have?", "answer_numeric": 6, "category": "disguised-polarity", "surface_trap": "gets X for N -> spend N, not gain", "expected": "refuse", "pair_id": "confuser-v1-0004", "source": "structural: service spend", "notes": "gets is a gain verb but 'for 12 dollars' is a spend; correct is 18-12"}
{"case_id": "confuser-v1-0004", "question": "Sara has 18 stickers. She gets 12 from her friend. How many stickers does Sara have?", "answer_numeric": 30, "category": "genuine-positive", "surface_trap": "gets (here a genuine gain)", "expected": "solve", "pair_id": "confuser-v1-0003", "source": "structural: accumulation twin of 0003", "notes": "minimal pair on 'gets'; here +12 is correct"}
{"case_id": "confuser-v1-0005", "question": "Maria buys 800 inches of ribbon. She cuts it into 20-inch pieces. She gives 1/4 of the pieces to a friend. How many pieces does she keep?", "answer_numeric": 30, "category": "pseudo-accumulation", "surface_trap": "buys/gives surface over a division+fraction problem", "expected": "refuse", "source": "gsm8k-train-sample-v1-0002 (paraphrase)", "notes": "800/20=40 pieces, keep 3/4 -> 30; the division and fraction are unconsumed by accumulation"}
{"case_id": "confuser-v1-0006", "question": "Tom has 60 candies. He gives half to his sister. How many candies does Tom have?", "answer_numeric": 30, "category": "pseudo-accumulation", "surface_trap": "gives half -> a fraction, not a counted change", "expected": "refuse", "source": "structural: fraction-of", "notes": "60/2=30; 'half' is not a grounded count"}
{"case_id": "confuser-v1-0007", "question": "Jan buys 1000 feet of cable. She splits it into 25-foot sections. She gives 1/4 to a friend. She puts half of the rest in storage. How much does she keep on hand?", "answer_numeric": 15, "category": "pseudo-accumulation", "surface_trap": "buys/gives surface over split+fractions (multi-step)", "expected": "refuse", "source": "gsm8k-train-sample-v1-0002", "notes": "the canonical 0002 misfire; accumulation read it as 1000-... -> 996"}
{"case_id": "confuser-v1-0008", "question": "A baker makes 48 cookies. He packs them into boxes of 6. He sells 5 boxes. How many boxes are left?", "answer_numeric": 3, "category": "pseudo-accumulation", "surface_trap": "makes/sells surface over division-then-subtract", "expected": "refuse", "source": "structural: division then subtraction", "notes": "48/6=8 boxes, 8-5=3; the division is unconsumed"}
{"case_id": "confuser-v1-0009", "question": "Alice has 6 apples. Tom has 4 apples. How many apples does Alice have?", "answer_numeric": 6, "category": "multi-referent", "surface_trap": "two same-unit actors; only Alice is asked", "expected": "refuse", "source": "ADR-0178 hazard H1", "notes": "must not sum Tom's apples into Alice's; correct is 6"}
{"case_id": "confuser-v1-0010", "question": "Maria has 12 books. Sara has 8 books. How many books do they have altogether?", "answer_numeric": 20, "category": "multi-referent", "surface_trap": "cross-referent sum (legit answer, but cross-clause)", "expected": "refuse", "source": "ADR-0178 hazard H1 variant", "notes": "the answer IS 20 but the engine cannot yet safely sum across referents; refuse until it can"}
{"case_id": "confuser-v1-0011", "question": "Ben has 30 marbles. His friend has 20 marbles. How many marbles does Ben have?", "answer_numeric": 30, "category": "multi-referent", "surface_trap": "second possessor, same unit", "expected": "refuse", "source": "ADR-0178 hazard H1", "notes": "'his friend' is a second referent; correct is 30"}
{"case_id": "confuser-v1-0012", "question": "Sam had 10 marbles and Tom had 7 marbles. He bought 5 more. How many marbles does Sam have?", "answer_numeric": 15, "category": "multi-actor-pronoun", "surface_trap": "ambiguous 'he' antecedent (Sam or Tom)", "expected": "refuse", "source": "ADR-0174 multi-actor pronoun hazard", "notes": "if he=Sam then 15, if he=Tom then 12; antecedent is ambiguous -> refuse"}
{"case_id": "confuser-v1-0013", "question": "Anna and Beth went shopping. She spent 20 dollars. Anna started with 50 dollars. How much does Anna have?", "answer_numeric": 30, "category": "multi-actor-pronoun", "surface_trap": "ambiguous 'she' antecedent", "expected": "refuse", "source": "ADR-0174 multi-actor pronoun hazard", "notes": "'she' could be Anna or Beth; refuse rather than resolve"}
{"case_id": "confuser-v1-0014", "question": "Kate has 20 pencils. She studies for 3 hours and then buys 5 more pencils. How many pencils does Kate have?", "answer_numeric": 25, "category": "distractor-quantity", "surface_trap": "'3 hours' is a distractor, not a pencil change", "expected": "refuse", "pair_id": "confuser-v1-0015", "source": "structural: irrelevant quantity", "notes": "correct is 20+5=25; the 3 must not enter the computation"}
{"case_id": "confuser-v1-0015", "question": "Kate has 20 pencils. She buys 5 more pencils. How many pencils does Kate have?", "answer_numeric": 25, "category": "genuine-positive", "surface_trap": "no distractor", "expected": "solve", "pair_id": "confuser-v1-0014", "source": "structural: distractor-free twin of 0014", "notes": "minimal pair; 20+5=25"}
{"case_id": "confuser-v1-0016", "question": "A train travels at 60 miles per hour for 2 hours. Tom has 8 tickets and buys 4 more tickets. How many tickets does Tom have?", "answer_numeric": 12, "category": "distractor-quantity", "surface_trap": "60 and 2 are distractors in a different domain", "expected": "refuse", "pair_id": "confuser-v1-0017", "source": "structural: irrelevant quantities", "notes": "correct is 8+4=12; 60 and 2 are unrelated"}
{"case_id": "confuser-v1-0017", "question": "Tom has 8 tickets and buys 4 more tickets. How many tickets does Tom have?", "answer_numeric": 12, "category": "genuine-positive", "surface_trap": "no distractor", "expected": "solve", "pair_id": "confuser-v1-0016", "source": "structural: distractor-free twin of 0016", "notes": "minimal pair; 8+4=12"}
{"case_id": "confuser-v1-0018", "question": "Ben had 30 marbles. He gave 12 to his friend. How many marbles did Ben have before giving any away?", "answer_numeric": 30, "category": "temporal-scope", "surface_trap": "question asks BEFORE the stated change", "expected": "refuse", "pair_id": "confuser-v1-0019", "source": "ADR-0178 hazard H3", "notes": "the change must not be applied; correct is the pre-change 30"}
{"case_id": "confuser-v1-0019", "question": "Ben had 30 marbles. He gave 12 to his friend. How many marbles does Ben have now?", "answer_numeric": 18, "category": "genuine-positive", "surface_trap": "question asks AFTER the change", "expected": "solve", "pair_id": "confuser-v1-0018", "source": "structural: now-scoped twin of 0018", "notes": "minimal pair; 30-12=18"}
{"case_id": "confuser-v1-0020", "question": "Lisa had 50 dollars. She spent 20 on lunch. How much money did Lisa have before lunch?", "answer_numeric": 50, "category": "temporal-scope", "surface_trap": "question asks BEFORE the spend", "expected": "refuse", "pair_id": "confuser-v1-0021", "source": "ADR-0178 hazard H3", "notes": "correct is the pre-change 50"}
{"case_id": "confuser-v1-0021", "question": "Lisa had 50 dollars. She spent 20 on lunch. How much money does Lisa have left?", "answer_numeric": 30, "category": "genuine-positive", "surface_trap": "question asks AFTER the spend", "expected": "solve", "pair_id": "confuser-v1-0020", "source": "structural: left-scoped twin of 0020", "notes": "minimal pair; 50-20=30"}
{"case_id": "confuser-v1-0022", "question": "Alice picked 6 apples. Tom picked twice as many. How many apples did Alice pick?", "answer_numeric": 6, "category": "comparative-referent", "surface_trap": "comparative binds Tom, question asks Alice", "expected": "refuse", "source": "ADR-0178 hazard H2", "notes": "the 'twice' must not scale Alice's count; correct is 6"}
{"case_id": "confuser-v1-0023", "question": "Alice picked 6 apples. Tom picked twice as many. How many apples did Tom pick?", "answer_numeric": 12, "category": "comparative-referent", "surface_trap": "comparative on Tom; engine cannot bind it yet", "expected": "refuse", "source": "ADR-0178 hazard H2", "notes": "correct is 12 but requires binding 'twice' to Tom relative to Alice's 6"}
{"case_id": "confuser-v1-0024", "question": "Sam ran 4 miles. His brother ran 3 times as far. How many miles did Sam run?", "answer_numeric": 4, "category": "comparative-referent", "surface_trap": "comparative binds the brother, question asks Sam", "expected": "refuse", "source": "ADR-0178 hazard H2", "notes": "correct is 4; the comparative is about the brother"}
{"case_id": "confuser-v1-0025", "question": "A crate holds 6 boxes and weighs 50 pounds. How many boxes are in 3 crates?", "answer_numeric": 18, "category": "unit-confuser", "surface_trap": "boxes vs pounds; 50 is a different unit", "expected": "refuse", "source": "structural: mixed-unit distractor", "notes": "6*3=18; the 50 pounds must not enter"}
{"case_id": "confuser-v1-0026", "question": "A rope is 12 feet long and weighs 4 pounds. How long are 3 ropes in feet?", "answer_numeric": 36, "category": "unit-confuser", "surface_trap": "feet vs pounds mixed", "expected": "refuse", "source": "structural: mixed-unit distractor", "notes": "12*3=36; the 4 pounds is a different dimension"}
{"case_id": "confuser-v1-0027", "question": "Tom has 5 ten-dollar bills and 3 one-dollar bills. How many bills does Tom have?", "answer_numeric": 8, "category": "unit-confuser", "surface_trap": "denominations look like values, asked as a count", "expected": "refuse", "source": "structural: count-vs-value confusion", "notes": "the count is 5+3=8 bills; the engine may confuse with a dollar total"}
{"case_id": "confuser-v1-0028", "question": "Sam has 14 apples. He buys 9 more. How many apples does Sam have now?", "answer_numeric": 23, "category": "genuine-positive", "surface_trap": "clean single-referent gain", "expected": "solve", "source": "structural: GB-3b.1 positive", "notes": "14+9=23"}
{"case_id": "confuser-v1-0029", "question": "Anna has 25 stickers. She gives 10 to her friend. How many stickers does Anna have left?", "answer_numeric": 15, "category": "genuine-positive", "surface_trap": "clean single-referent loss", "expected": "solve", "source": "structural: GB-3b.1 positive", "notes": "25-10=15"}
{"case_id": "confuser-v1-0030", "question": "Lisa has 30 coins. She earns 15 more. How many coins does Lisa have?", "answer_numeric": 45, "category": "genuine-positive", "surface_trap": "clean single-referent gain", "expected": "solve", "source": "structural: GB-3b.1 positive", "notes": "30+15=45"}
