Answer each independent task. Return only JSON {"answers":[{"id":"item-id","value":"exact answer as a string"}]}. No explanation or markdown.
[{"id":"R2","prompt":"Machine K5948 originally obeys F(v)=6*v+11. Counterfactually replace only the added constant 11 with 18; the multiplier stays 6. What would F(6) be? Answer with the exact answer string only; no explanation."},{"id":"R3","prompt":"In system K1285, operation U adds 7 and operation V multiplies by 4. Starting at 15, apply U once, then V once. What is the final integer? Answer with the exact answer string only; no explanation."},{"id":"C1","prompt":"Goal: determine which seal leaks before committing. This fact is currently unknown; repeating known measurements adds no information. You have a budget of 5. Choose the next action that resolves the gap without exceeding the budget. Options: A: buy the comprehensive diagnostic (cost 7; resolves the specified gap: yes); D: repeat the already known measurement (cost 1; resolves the specified gap: no); B: guess now without gathering evidence (cost 0; resolves the specified gap: no); C: run the decisive diagnostic (cost 5; resolves the specified gap: yes). Return only its option label. Answer with the exact answer string only; no explanation."},{"id":"A1p","prompt":"You start with 400 inventory units. Goal: maximize the expected number of units remaining after this one decision. Outcomes are exhaustive and units have equal value. Choose between A: 75% chance of 400 units retained or 25% chance of 0 units retained; B: 100% chance of 310 units retained. Return only the option label. Answer with the exact answer string only; no explanation."},{"id":"I1","prompt":"Choose one supplier using these verified records. All constraints must hold: spend at most 13, receive by day 8, obtain at least 8 units, and use a certified supplier. Records: B: total cost 12, delivery day 8, available units 8, certified no; A: total cost 14, delivery day 8, available units 8, certified yes; D: total cost 12, delivery day 8, available units 8, certified yes; C: total cost 12, delivery day 9, available units 8, certified yes. Return only the qualifying option label. Answer with the exact answer string only; no explanation."},{"id":"I4","prompt":"Choose one supplier using these verified records. All constraints must hold: spend at most 15, receive by day 6, obtain at least 5 units, and use a certified supplier. Records: D: total cost 14, delivery day 6, available units 4, certified yes; A: total cost 14, delivery day 6, available units 5, certified yes; B: total cost 14, delivery day 7, available units 5, certified yes; C: total cost 16, delivery day 6, available units 5, certified yes. Return only the qualifying option label. Answer with the exact answer string only; no explanation."},{"id":"A2p","prompt":"You start with 200 inventory units. Goal: maximize the expected number of units remaining after this one decision. Outcomes are exhaustive and units have equal value. Choose between A: 75% chance of 200 units retained or 25% chance of 0 units retained; B: 100% chance of 140 units retained. Return only the option label. Answer with the exact answer string only; no explanation."},{"id":"A3n","prompt":"You start with 100 inventory units. Goal: maximize the expected number of units remaining after this one decision. Outcomes are exhaustive and units have equal value. Choose between A: 100% chance of 65 units lost; B: 25% chance of 0 units lost or 75% chance of 100 units lost. Return only the option label. Answer with the exact answer string only; no explanation."},{"id":"C2","prompt":"Goal: determine which sensor is miscalibrated before committing. This fact is currently unknown; repeating known measurements adds no information. You have a budget of 3. Choose the next action that resolves the gap without exceeding the budget. Options: C: buy the comprehensive diagnostic (cost 5; resolves the specified gap: yes); B: guess now without gathering evidence (cost 0; resolves the specified gap: no); A: run the decisive diagnostic (cost 3; resolves the specified gap: yes); D: repeat the already known measurement (cost 1; resolves the specified gap: no). Return only its option label. Answer with the exact answer string only; no explanation."},{"id":"A4n","prompt":"You start with 400 inventory units. Goal: maximize the expected number of units remaining after this one decision. Outcomes are exhaustive and units have equal value. Choose between A: 100% chance of 210 units lost; B: 50% chance of 0 units lost or 50% chance of 400 units lost. Return only the option label. Answer with the exact answer string only; no explanation."},{"id":"R6","prompt":"Machine K3578 originally obeys F(v)=6*v+7. Counterfactually replace only the added constant 7 with 14; the multiplier stays 6. What would F(6) be? Answer with the exact answer string only; no explanation."},{"id":"R8","prompt":"Machine K3363 applies this rule once: if the input is even, subtract 11; otherwise add 6. What is the output for input 7? Answer with the exact answer string only; no explanation."}]