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(13 - 10))", "solution_steps": ["13 − 10 = 3", "9 − 3 = 6", "4 × 6 = 24"], "key": "24-24-K♣10♥4♣9♥"} {"id": "train-24-0995", "level": "24", "target": 24, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 * 6 * (12 - 11)", "solution_steps": ["12 − 11 = 1", "6 × 1 = 6", "4 × 6 = 24"], "key": "24-24-6♠J♠Q♣4♣"} {"id": "train-24-0996", "level": "24", "target": 24, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "4 * (3 + 12 / 4)", "solution_steps": ["12 ÷ 4 = 3", "3 + 3 = 6", "4 × 6 = 24"], "key": "24-24-4♣4♥Q♠3♠"} {"id": "train-24-0997", "level": "24", "target": 24, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "4 * 12 / (7 - 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12", "solution_steps": ["9 + 9 = 18", "10 + 11 = 21", "18 × 21 = 378", "378 − 12 = 366", "8 + 366 = 374"], "key": "three-digit-374-9♠10♥J♥9♦8♣Q♠"} {"id": "train-three-digit-0001", "level": "three-digit", "target": 241, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "4 + 13 * (9 + 11) - 12 - 11", "solution_steps": ["9 + 11 = 20", "13 × 20 = 260", "260 − 12 = 248", "248 − 11 = 237", "4 + 237 = 241"], "key": "three-digit-241-J♥Q♣9♣4♥K♣J♣"} {"id": "train-three-digit-0002", "level": "three-digit", "target": 270, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 11 + 8 * (8 + 4 * 6)", "solution_steps": ["4 × 6 = 24", "8 + 24 = 32", "8 × 32 = 256", "11 + 256 = 267", "3 + 267 = 270"], "key": "three-digit-270-8♦4♣8♠3♥J♠6♥"} {"id": "train-three-digit-0003", "level": "three-digit", "target": 879, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "3 * (13 + 2 * 10 * (2 + 12))", "solution_steps": ["2 + 12 = 14", "10 × 14 = 140", "2 × 140 = 280", "13 + 280 = 293", "3 × 293 = 879"], "key": "three-digit-879-Q♥10♣2♠2♥3♣K♠"} {"id": "train-three-digit-0004", "level": "three-digit", "target": 324, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "3 + 11 + 10 * (3 * 12 - 5)", "solution_steps": ["3 × 12 = 36", "36 − 5 = 31", "10 × 31 = 310", "11 + 310 = 321", "3 + 321 = 324"], "key": "three-digit-324-10♣Q♥J♥3♥3♣5♦"} {"id": "train-three-digit-0005", "level": "three-digit", "target": 369, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "4 + (1 + 4) * (7 * 12 - 11)", "solution_steps": ["1 + 4 = 5", "7 × 12 = 84", "84 − 11 = 73", "5 × 73 = 365", "4 + 365 = 369"], "key": "three-digit-369-A♠4♠7♠4♣Q♥J♥"} {"id": "train-three-digit-0006", "level": "three-digit", "target": 340, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "3 * 6 * (5 + 6 + 8) - 2", "solution_steps": ["6 + 8 = 14", "5 + 14 = 19", "6 × 19 = 114", "3 × 114 = 342", "342 − 2 = 340"], "key": "three-digit-340-6♥2♠5♦3♦6♦8♠"} {"id": "train-three-digit-0007", "level": "three-digit", "target": 212, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "4 + 13 * (6 + 10 * (7 - 6))", "solution_steps": ["7 − 6 = 1", "10 × 1 = 10", "6 + 10 = 16", "13 × 16 = 208", "4 + 208 = 212"], "key": "three-digit-212-4♦10♦7♣6♦6♠K♥"} {"id": "train-three-digit-0008", "level": "three-digit", "target": 220, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "6 * (3 + 2 * (5 + 12)) - 2", "solution_steps": ["5 + 12 = 17", "2 × 17 = 34", "3 + 34 = 37", "6 × 37 = 222", "222 − 2 = 220"], "key": "three-digit-220-6♦5♦Q♠2♥2♦3♦"} {"id": "train-three-digit-0009", "level": "three-digit", "target": 162, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "5 + 5 * (8 + 11 + 13) - 3", "solution_steps": ["11 + 13 = 24", "8 + 24 = 32", "5 × 32 = 160", "5 + 160 = 165", "165 − 3 = 162"], "key": "three-digit-162-8♠K♠5♠5♥J♥3♦"} {"id": "train-three-digit-0010", "level": "three-digit", "target": 580, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 10 + 7 * 9 * (4 + 5)", "solution_steps": ["4 + 5 = 9", "9 × 9 = 81", "7 × 81 = 567", "10 + 567 = 577", "3 + 577 = 580"], "key": "three-digit-580-3♥9♥10♦4♠5♠7♦"} {"id": "train-three-digit-0011", "level": "three-digit", "target": 327, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 4 + 2 * 8 * (8 + 12)", "solution_steps": ["8 + 12 = 20", "8 × 20 = 160", "2 × 160 = 320", "4 + 320 = 324", "3 + 324 = 327"], "key": "three-digit-327-8♠4♠2♦8♦Q♣3♥"} {"id": "train-three-digit-0012", "level": "three-digit", "target": 634, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 6 + 11 * (8 + 7 * 7)", "solution_steps": ["7 × 7 = 49", "8 + 49 = 57", "11 × 57 = 627", "6 + 627 = 633", "1 + 633 = 634"], "key": "three-digit-634-J♠7♦8♥A♥7♠6♠"} {"id": "train-three-digit-0013", "level": "three-digit", "target": 588, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "4 + 4 + 5 * (8 + 9 * 12)", "solution_steps": ["9 × 12 = 108", "8 + 108 = 116", "5 × 116 = 580", "4 + 580 = 584", "4 + 584 = 588"], "key": "three-digit-588-4♥4♦Q♣8♣9♠5♠"} {"id": "train-three-digit-0014", "level": "three-digit", "target": 926, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "7 * (12 * (4 + 8) - 11) - 5", "solution_steps": ["4 + 8 = 12", "12 × 12 = 144", "144 − 11 = 133", "7 × 133 = 931", "931 − 5 = 926"], "key": "three-digit-926-4♣Q♣J♥5♠8♠7♣"} {"id": "train-three-digit-0015", "level": "three-digit", "target": 586, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "12 * (1 + 4 * (5 + 7)) - 2", "solution_steps": ["5 + 7 = 12", "4 × 12 = 48", "1 + 48 = 49", "12 × 49 = 588", "588 − 2 = 586"], "key": "three-digit-586-5♦4♥Q♠7♦A♠2♣"} {"id": "train-three-digit-0016", "level": "three-digit", "target": 768, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "2 * (3 + 5) * (13 + 5 * 7)", "solution_steps": ["3 + 5 = 8", "5 × 7 = 35", "13 + 35 = 48", "8 × 48 = 384", "2 × 384 = 768"], "key": "three-digit-768-K♣7♦2♠3♣5♦5♣"} {"id": "train-three-digit-0017", "level": "three-digit", "target": 858, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "3 * (4 * 6 * (3 + 9) - 2)", "solution_steps": ["3 + 9 = 12", "6 × 12 = 72", "4 × 72 = 288", "288 − 2 = 286", "3 × 286 = 858"], "key": "three-digit-858-3♠9♦3♣2♥6♦4♣"} {"id": "train-three-digit-0018", "level": "three-digit", "target": 719, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "12 * (8 * 9 - 11) - 10 - 3", "solution_steps": ["8 × 9 = 72", "72 − 11 = 61", "12 × 61 = 732", "732 − 10 = 722", "722 − 3 = 719"], "key": "three-digit-719-9♠3♣J♥10♠Q♥8♥"} {"id": "train-three-digit-0019", "level": "three-digit", "target": 858, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 * (4 + 6 * (11 + 3 * 12))", "solution_steps": ["3 × 12 = 36", "11 + 36 = 47", "6 × 47 = 282", "4 + 282 = 286", "3 × 286 = 858"], "key": "three-digit-858-3♠J♥4♣3♣Q♠6♣"} {"id": "train-three-digit-0020", "level": "three-digit", "target": 332, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 * (8 + 6 * (4 + 13))", "solution_steps": ["4 + 13 = 17", "6 × 17 = 102", "8 + 102 = 110", "3 × 110 = 330", "2 + 330 = 332"], "key": "three-digit-332-2♠K♦4♦8♣6♠3♦"} {"id": "train-three-digit-0021", "level": "three-digit", "target": 322, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "13 * (3 + 6 + 7 + 9) - 3", "solution_steps": ["7 + 9 = 16", "6 + 16 = 22", "3 + 22 = 25", "13 × 25 = 325", "325 − 3 = 322"], "key": "three-digit-322-3♠6♥3♦9♠K♠7♥"} {"id": "train-three-digit-0022", "level": "three-digit", "target": 866, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "13 * (8 * (12 - 2) - 13) - 5", "solution_steps": ["12 − 2 = 10", "8 × 10 = 80", "80 − 13 = 67", "13 × 67 = 871", "871 − 5 = 866"], "key": "three-digit-866-8♥Q♦K♠5♠K♥2♠"} {"id": "train-three-digit-0023", "level": "three-digit", "target": 795, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "5 * (5 + 11 * (1 + 2 + 11))", "solution_steps": ["2 + 11 = 13", "1 + 13 = 14", "11 × 14 = 154", "5 + 154 = 159", "5 × 159 = 795"], "key": "three-digit-795-J♠A♠J♥5♦2♥5♠"} {"id": "train-three-digit-0024", "level": "three-digit", "target": 588, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "5 + 11 * (6 * (1 + 9) - 7)", "solution_steps": ["1 + 9 = 10", "6 × 10 = 60", "60 − 7 = 53", "11 × 53 = 583", "5 + 583 = 588"], "key": "three-digit-588-J♥7♦9♣6♦5♣A♥"} {"id": "train-three-digit-0025", "level": "three-digit", "target": 736, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 5 * 7 * (12 + 13 - 4)", "solution_steps": ["12 + 13 = 25", "25 − 4 = 21", "7 × 21 = 147", "5 × 147 = 735", "1 + 735 = 736"], "key": "three-digit-736-A♥K♠5♦Q♣7♥4♦"} {"id": "train-three-digit-0026", "level": "three-digit", "target": 377, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 12 * (2 + 3 * 10) - 8", "solution_steps": ["3 × 10 = 30", "2 + 30 = 32", "12 × 32 = 384", "384 − 8 = 376", "1 + 376 = 377"], "key": "three-digit-377-2♥10♣8♥3♠A♦Q♠"} {"id": "train-three-digit-0027", "level": "three-digit", "target": 451, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 * (7 * 11 * (2 + 4) - 11)", "solution_steps": ["2 + 4 = 6", "11 × 6 = 66", "7 × 66 = 462", "462 − 11 = 451", "1 × 451 = 451"], "key": "three-digit-451-A♦4♣7♣2♠J♦J♥"} {"id": "train-three-digit-0028", "level": "three-digit", "target": 888, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "(11 - 4) * (10 * 13 - 3) - 1", "solution_steps": ["11 − 4 = 7", "10 × 13 = 130", "130 − 3 = 127", "7 × 127 = 889", "889 − 1 = 888"], "key": "three-digit-888-J♠3♥A♠10♠K♦4♥"} {"id": "train-three-digit-0029", "level": "three-digit", "target": 721, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "4 + 7 + 5 * (10 + 11 * 12)", "solution_steps": ["11 × 12 = 132", "10 + 132 = 142", "5 × 142 = 710", "7 + 710 = 717", "4 + 717 = 721"], "key": "three-digit-721-4♦5♦10♦J♣7♣Q♥"} {"id": "train-three-digit-0030", "level": "three-digit", "target": 240, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 4 + 3 * 8 * 10 - 5", "solution_steps": ["8 × 10 = 80", "3 × 80 = 240", "240 − 5 = 235", "4 + 235 = 239", "1 + 239 = 240"], "key": "three-digit-240-4♥3♥10♦8♠5♥A♦"} {"id": "train-three-digit-0031", "level": "three-digit", "target": 252, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "4 + 12 * (9 + 13) - 8 - 8", "solution_steps": ["9 + 13 = 22", "12 × 22 = 264", "264 − 8 = 256", "256 − 8 = 248", "4 + 248 = 252"], "key": "three-digit-252-9♠8♦K♣Q♦8♥4♠"} {"id": "train-three-digit-0032", "level": "three-digit", "target": 271, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 6 + 2 * 11 * 12 - 2", "solution_steps": ["11 × 12 = 132", "2 × 132 = 264", "6 + 264 = 270", "3 + 270 = 273", "273 − 2 = 271"], "key": "three-digit-271-2♥2♦J♠6♠Q♦3♦"} {"id": "train-three-digit-0033", "level": "three-digit", "target": 908, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 * (4 + 10 * (1 + 4 * 11))", "solution_steps": ["4 × 11 = 44", "1 + 44 = 45", "10 × 45 = 450", "4 + 450 = 454", "2 × 454 = 908"], "key": "three-digit-908-A♦4♥J♦4♣2♥10♠"} {"id": "train-three-digit-0034", "level": "three-digit", "target": 862, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "11 * (7 + 6 * 12) - 5 - 2", "solution_steps": ["6 × 12 = 72", "7 + 72 = 79", "11 × 79 = 869", "869 − 5 = 864", "864 − 2 = 862"], "key": "three-digit-862-7♠2♠6♥5♠J♣Q♠"} {"id": "train-three-digit-0035", "level": "three-digit", "target": 991, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 + 4 * (7 + 12 * (7 + 13))", "solution_steps": ["7 + 13 = 20", "12 × 20 = 240", "7 + 240 = 247", "4 × 247 = 988", "3 + 988 = 991"], "key": "three-digit-991-K♣4♣3♣7♣7♦Q♦"} {"id": "train-three-digit-0036", "level": "three-digit", "target": 219, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 + 3 * 8 * (6 + 12 / 4)", "solution_steps": ["12 ÷ 4 = 3", "6 + 3 = 9", "8 × 9 = 72", "3 × 72 = 216", "3 + 216 = 219"], "key": "three-digit-219-3♦3♥6♦4♣8♦Q♦"} {"id": "train-three-digit-0037", "level": "three-digit", "target": 796, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "13 * (8 * 11 - 2 * 13) - 10", "solution_steps": ["8 × 11 = 88", "2 × 13 = 26", "88 − 26 = 62", "13 × 62 = 806", "806 − 10 = 796"], "key": "three-digit-796-K♣J♥8♦10♦K♠2♦"} {"id": "train-three-digit-0038", "level": "three-digit", "target": 177, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "4 + 6 + 11 + 12 + 12 * 12", "solution_steps": ["12 × 12 = 144", "12 + 144 = 156", "11 + 156 = 167", "6 + 167 = 173", "4 + 173 = 177"], "key": "three-digit-177-Q♦4♥J♦Q♥Q♠6♣"} {"id": "train-three-digit-0039", "level": "three-digit", "target": 361, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 8 * (3 / 3 + 4 * 11)", "solution_steps": ["3 ÷ 3 = 1", "4 × 11 = 44", "1 + 44 = 45", "8 × 45 = 360", "1 + 360 = 361"], "key": "three-digit-361-3♣3♥A♦J♥8♦4♥"} {"id": "train-three-digit-0040", "level": "three-digit", "target": 793, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "(4 + 9) * (1 + 6 * (5 + 5))", "solution_steps": ["4 + 9 = 13", "5 + 5 = 10", "6 × 10 = 60", "1 + 60 = 61", "13 × 61 = 793"], "key": "three-digit-793-5♠6♣9♣4♠A♣5♣"} {"id": "train-three-digit-0041", "level": "three-digit", "target": 583, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "3 + 10 * (7 + 5 * 12 - 9)", "solution_steps": ["5 × 12 = 60", "60 − 9 = 51", "7 + 51 = 58", "10 × 58 = 580", "3 + 580 = 583"], "key": "three-digit-583-9♥5♣10♣7♣3♣Q♠"} {"id": "train-three-digit-0042", "level": "three-digit", "target": 576, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 6 * 8 * 12 - 2 / 2", "solution_steps": ["8 × 12 = 96", "6 × 96 = 576", "2 ÷ 2 = 1", "576 − 1 = 575", "1 + 575 = 576"], "key": "three-digit-576-8♥Q♣2♥2♦6♠A♥"} {"id": "train-three-digit-0043", "level": "three-digit", "target": 655, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "4 + 9 * (7 * 12 - 11) - 6", "solution_steps": ["7 × 12 = 84", "84 − 11 = 73", "9 × 73 = 657", "657 − 6 = 651", "4 + 651 = 655"], "key": "three-digit-655-9♣7♣J♥Q♥4♣6♦"} {"id": "train-three-digit-0044", "level": "three-digit", "target": 885, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "5 * (1 + 11 * (2 * 9 - 2))", "solution_steps": ["2 × 9 = 18", "18 − 2 = 16", "11 × 16 = 176", "1 + 176 = 177", "5 × 177 = 885"], "key": "three-digit-885-J♥9♠2♥2♣A♥5♥"} {"id": "train-three-digit-0045", "level": "three-digit", "target": 215, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "9 * (1 + 3 + 7 + 13) - 1", "solution_steps": ["7 + 13 = 20", "3 + 20 = 23", "1 + 23 = 24", "9 × 24 = 216", "216 − 1 = 215"], "key": "three-digit-215-3♠7♦9♠K♥A♣A♦"} {"id": "train-three-digit-0046", "level": "three-digit", "target": 761, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "8 * (9 * 12 - 10 - 2) - 7", "solution_steps": ["9 × 12 = 108", "108 − 10 = 98", "98 − 2 = 96", "8 × 96 = 768", "768 − 7 = 761"], "key": "three-digit-761-9♦10♥Q♣7♣2♦8♥"} {"id": "train-three-digit-0047", "level": "three-digit", "target": 279, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "5 + 2 * (5 + 6 * (9 + 13))", "solution_steps": ["9 + 13 = 22", "6 × 22 = 132", "5 + 132 = 137", "2 × 137 = 274", "5 + 274 = 279"], "key": "three-digit-279-K♣5♦6♣2♠5♣9♣"} {"id": "train-three-digit-0048", "level": "three-digit", "target": 899, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 13 * (11 + 6 * 11 - 8)", "solution_steps": ["6 × 11 = 66", "11 + 66 = 77", "77 − 8 = 69", "13 × 69 = 897", "2 + 897 = 899"], "key": "three-digit-899-J♠K♥J♥8♠2♣6♥"} {"id": "train-three-digit-0049", "level": "three-digit", "target": 955, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "7 + 12 * (13 + 3 * (11 + 11))", "solution_steps": ["11 + 11 = 22", "3 × 22 = 66", "13 + 66 = 79", "12 × 79 = 948", "7 + 948 = 955"], "key": "three-digit-955-Q♦J♣K♠J♥7♥3♣"} {"id": "train-three-digit-0050", "level": "three-digit", "target": 361, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "13 + 11 * (12 + 4 * 5) - 4", "solution_steps": ["4 × 5 = 20", "12 + 20 = 32", "11 × 32 = 352", "13 + 352 = 365", "365 − 4 = 361"], "key": "three-digit-361-J♠5♠K♦4♦4♣Q♦"} {"id": "train-three-digit-0051", "level": "three-digit", "target": 146, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "8 + 13 + 9 * (1 + 13) - 1", "solution_steps": ["1 + 13 = 14", "9 × 14 = 126", "13 + 126 = 139", "8 + 139 = 147", "147 − 1 = 146"], "key": "three-digit-146-K♠A♠K♦9♦A♦8♣"} {"id": "train-three-digit-0052", "level": "three-digit", "target": 674, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 12 * (1 + 5 * (5 + 6))", "solution_steps": ["5 + 6 = 11", "5 × 11 = 55", "1 + 55 = 56", "12 × 56 = 672", "2 + 672 = 674"], "key": "three-digit-674-5♥2♠5♠A♠Q♠6♠"} {"id": "train-three-digit-0053", "level": "three-digit", "target": 812, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "2 * 12 * (1 + 3 * 11) - 4", "solution_steps": ["3 × 11 = 33", "1 + 33 = 34", "12 × 34 = 408", "2 × 408 = 816", "816 − 4 = 812"], "key": "three-digit-812-3♥A♠Q♠2♥J♣4♥"} {"id": "train-three-digit-0054", "level": "three-digit", "target": 828, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 * (3 * (8 + 11 * 12) - 6)", "solution_steps": ["11 × 12 = 132", "8 + 132 = 140", "3 × 140 = 420", "420 − 6 = 414", "2 × 414 = 828"], "key": "three-digit-828-Q♣3♥2♠J♣8♠6♠"} {"id": "train-three-digit-0055", "level": "three-digit", "target": 190, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "5 + 5 * (9 * 13 - 8 * 10)", "solution_steps": ["9 × 13 = 117", "8 × 10 = 80", "117 − 80 = 37", "5 × 37 = 185", "5 + 185 = 190"], "key": "three-digit-190-K♠10♠5♦9♥5♠8♦"} {"id": "train-three-digit-0056", "level": "three-digit", "target": 457, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 6 * (4 * 9 + 5 * 8)", "solution_steps": ["4 × 9 = 36", "5 × 8 = 40", "36 + 40 = 76", "6 × 76 = 456", "1 + 456 = 457"], "key": "three-digit-457-8♥6♥A♦9♣5♦4♥"} {"id": "train-three-digit-0057", "level": "three-digit", "target": 441, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "12 * (4 * 11 - 6) - 11 - 4", "solution_steps": ["4 × 11 = 44", "44 − 6 = 38", "12 × 38 = 456", "456 − 11 = 445", "445 − 4 = 441"], "key": "three-digit-441-4♠6♠4♥J♠J♣Q♣"} {"id": "train-three-digit-0058", "level": "three-digit", "target": 164, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 * (6 * (4 * 9 - 8) - 4)", "solution_steps": ["4 × 9 = 36", "36 − 8 = 28", "6 × 28 = 168", "168 − 4 = 164", "1 × 164 = 164"], "key": "three-digit-164-A♣4♠6♣4♥9♠8♣"} {"id": "train-three-digit-0059", "level": "three-digit", "target": 436, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "6 + (7 + 13) * (9 + 13) - 10", "solution_steps": ["7 + 13 = 20", "9 + 13 = 22", "20 × 22 = 440", "440 − 10 = 430", "6 + 430 = 436"], "key": "three-digit-436-9♥7♦6♦10♠K♠K♦"} {"id": "train-three-digit-0060", "level": "three-digit", "target": 673, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "(6 + 10 * (4 + 10 * 13)) / 2", "solution_steps": ["10 × 13 = 130", "4 + 130 = 134", "10 × 134 = 1340", "6 + 1340 = 1346", "1346 ÷ 2 = 673"], "key": "three-digit-673-K♣4♠10♣10♠6♣2♦"} {"id": "train-three-digit-0061", "level": "three-digit", "target": 494, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "2 + 6 * (7 * (5 + 7) - 2)", "solution_steps": ["5 + 7 = 12", "7 × 12 = 84", "84 − 2 = 82", "6 × 82 = 492", "2 + 492 = 494"], "key": "three-digit-494-6♥7♣2♠2♥7♥5♠"} {"id": "train-three-digit-0062", "level": "three-digit", "target": 921, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "7 * (13 + 10 * 12) - 5 - 5", "solution_steps": ["10 × 12 = 120", "13 + 120 = 133", "7 × 133 = 931", "931 − 5 = 926", "926 − 5 = 921"], "key": "three-digit-921-5♦7♠5♠Q♦10♠K♠"} {"id": "train-three-digit-0063", "level": "three-digit", "target": 912, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "11 * (2 + 9 * (4 + 5)) - 1", "solution_steps": ["4 + 5 = 9", "9 × 9 = 81", "2 + 81 = 83", "11 × 83 = 913", "913 − 1 = 912"], "key": "three-digit-912-4♣5♦J♦2♦9♠A♠"} {"id": "train-three-digit-0064", "level": "three-digit", "target": 297, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "12 * (4 * 7 - 3) - 2 - 1", "solution_steps": ["4 × 7 = 28", "28 − 3 = 25", "12 × 25 = 300", "300 − 2 = 298", "298 − 1 = 297"], "key": "three-digit-297-Q♦A♥7♠2♣4♦3♥"} {"id": "train-three-digit-0065", "level": "three-digit", "target": 868, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "4 + 2 * 8 * (7 * 9 - 9)", "solution_steps": ["7 × 9 = 63", "63 − 9 = 54", "8 × 54 = 432", "2 × 432 = 864", "4 + 864 = 868"], "key": "three-digit-868-4♥7♦2♦8♦9♦9♥"} {"id": "train-three-digit-0066", "level": "three-digit", "target": 841, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 6 * 7 * (6 + 2 * 7)", "solution_steps": ["2 × 7 = 14", "6 + 14 = 20", "7 × 20 = 140", "6 × 140 = 840", "1 + 840 = 841"], "key": "three-digit-841-7♦6♥A♥2♣7♣6♣"} {"id": "train-three-digit-0067", "level": "three-digit", "target": 565, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 * (4 * 13 * (12 - 1) - 7)", "solution_steps": ["12 − 1 = 11", "13 × 11 = 143", "4 × 143 = 572", "572 − 7 = 565", "1 × 565 = 565"], "key": "three-digit-565-A♣K♠Q♠A♥7♥4♣"} {"id": "train-three-digit-0068", "level": "three-digit", "target": 367, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "9 + 9 * (4 * 11 - 4) - 2", "solution_steps": ["4 × 11 = 44", "44 − 4 = 40", "9 × 40 = 360", "9 + 360 = 369", "369 − 2 = 367"], "key": "three-digit-367-9♠J♠4♠2♥4♦9♥"} {"id": "train-three-digit-0069", "level": "three-digit", "target": 946, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "(6 + 13) * (7 * 8 - 6) - 4", "solution_steps": ["6 + 13 = 19", "7 × 8 = 56", "56 − 6 = 50", "19 × 50 = 950", "950 − 4 = 946"], "key": "three-digit-946-8♥6♠6♥4♠K♣7♦"} {"id": "train-three-digit-0070", "level": "three-digit", "target": 342, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 4 + 12 * (3 * 10 - 2)", "solution_steps": ["3 × 10 = 30", "30 − 2 = 28", "12 × 28 = 336", "4 + 336 = 340", "2 + 340 = 342"], "key": "three-digit-342-10♠Q♠2♣3♥4♦2♠"} {"id": "train-three-digit-0071", "level": "three-digit", "target": 302, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "(8 + 8) * (7 + 11 + 7 / 8)", "solution_steps": ["8 + 8 = 16", "7 ÷ 8 = 7/8", "11 + 7/8 = 95/8", "7 + 95/8 = 151/8", "16 × 151/8 = 302"], "key": "three-digit-302-8♥8♠7♦7♣8♦J♥"} {"id": "train-three-digit-0072", "level": "three-digit", "target": 802, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 * (1 + 5 * 5 * (4 + 12))", "solution_steps": ["4 + 12 = 16", "5 × 16 = 80", "5 × 80 = 400", "1 + 400 = 401", "2 × 401 = 802"], "key": "three-digit-802-4♣5♠A♣Q♥2♦5♦"} {"id": "train-three-digit-0073", "level": "three-digit", "target": 168, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 * 3 * (4 + 8 * (7 - 4))", "solution_steps": ["7 − 4 = 3", "8 × 3 = 24", "4 + 24 = 28", "3 × 28 = 84", "2 × 84 = 168"], "key": "three-digit-168-4♥4♣7♦2♥3♦8♥"} {"id": "train-three-digit-0074", "level": "three-digit", "target": 972, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 11 + 5 * 12 * (7 + 9)", "solution_steps": ["7 + 9 = 16", "12 × 16 = 192", "5 × 192 = 960", "11 + 960 = 971", "1 + 971 = 972"], "key": "three-digit-972-5♦7♣A♦Q♣J♥9♦"} {"id": "train-three-digit-0075", "level": "three-digit", "target": 557, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 4 + 8 * (7 * 11 - 8)", "solution_steps": ["7 × 11 = 77", "77 − 8 = 69", "8 × 69 = 552", "4 + 552 = 556", "1 + 556 = 557"], "key": "three-digit-557-J♣8♣8♥A♣4♠7♠"} {"id": "train-three-digit-0076", "level": "three-digit", "target": 887, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "9 * (10 * (5 + 5) - 1) - 4", "solution_steps": ["5 + 5 = 10", "10 × 10 = 100", "100 − 1 = 99", "9 × 99 = 891", "891 − 4 = 887"], "key": "three-digit-887-10♦9♠5♠4♦5♣A♣"} {"id": "train-three-digit-0077", "level": "three-digit", "target": 135, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "4 + 5 + 7 * 9 * (12 - 10)", "solution_steps": ["12 − 10 = 2", "9 × 2 = 18", "7 × 18 = 126", "5 + 126 = 131", "4 + 131 = 135"], "key": "three-digit-135-7♥4♣5♠10♣Q♣9♥"} {"id": "train-three-digit-0078", "level": "three-digit", "target": 547, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "6 + 7 * 8 * 10 - 13 - 6", "solution_steps": ["8 × 10 = 80", "7 × 80 = 560", "560 − 13 = 547", "547 − 6 = 541", "6 + 541 = 547"], "key": "three-digit-547-8♦6♠10♠K♥6♣7♠"} {"id": "train-three-digit-0079", "level": "three-digit", "target": 833, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "9 * (3 + 9 * (4 + 6)) - 4", "solution_steps": ["4 + 6 = 10", "9 × 10 = 90", "3 + 90 = 93", "9 × 93 = 837", "837 − 4 = 833"], "key": "three-digit-833-9♣4♠3♠6♥4♣9♠"} {"id": "train-three-digit-0080", "level": "three-digit", "target": 642, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "5 + 7 * (9 + 8 * 11 - 6)", "solution_steps": ["8 × 11 = 88", "9 + 88 = 97", "97 − 6 = 91", "7 × 91 = 637", "5 + 637 = 642"], "key": "three-digit-642-7♠6♣5♠8♥J♠9♦"} {"id": "train-three-digit-0081", "level": "three-digit", "target": 718, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "3 * (11 - 1) * (12 + 12) - 2", "solution_steps": ["11 − 1 = 10", "12 + 12 = 24", "10 × 24 = 240", "3 × 240 = 720", "720 − 2 = 718"], "key": "three-digit-718-A♦J♠3♥Q♠Q♥2♦"} {"id": "train-three-digit-0082", "level": "three-digit", "target": 824, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "11 * (8 * 10 - 4) - 9 - 3", "solution_steps": ["8 × 10 = 80", "80 − 4 = 76", "11 × 76 = 836", "836 − 9 = 827", "827 − 3 = 824"], "key": "three-digit-824-9♥J♥8♠3♥4♦10♦"} {"id": "train-three-digit-0083", "level": "three-digit", "target": 219, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "4 + 5 + 6 + 12 * (8 + 9)", "solution_steps": ["8 + 9 = 17", "12 × 17 = 204", "6 + 204 = 210", "5 + 210 = 215", "4 + 215 = 219"], "key": "three-digit-219-6♠4♥9♣8♣Q♥5♦"} {"id": "train-three-digit-0084", "level": "three-digit", "target": 331, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "12 * (6 + 10 + 13) - 13 - 4", "solution_steps": ["10 + 13 = 23", "6 + 23 = 29", "12 × 29 = 348", "348 − 13 = 335", "335 − 4 = 331"], "key": "three-digit-331-Q♠K♦6♥10♣4♦K♥"} {"id": "train-three-digit-0085", "level": "three-digit", "target": 833, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "(13 - 6 / 8) * (9 * 9 - 13)", "solution_steps": ["6 ÷ 8 = 3/4", "13 − 3/4 = 49/4", "9 × 9 = 81", "81 − 13 = 68", "49/4 × 68 = 833"], "key": "three-digit-833-K♠8♣9♠9♣K♣6♦"} {"id": "train-three-digit-0086", "level": "three-digit", "target": 209, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 3 + 13 * (7 + 9) - 4", "solution_steps": ["7 + 9 = 16", "13 × 16 = 208", "208 − 4 = 204", "3 + 204 = 207", "2 + 207 = 209"], "key": "three-digit-209-7♦9♥3♥2♠4♥K♣"} {"id": "train-three-digit-0087", "level": "three-digit", "target": 580, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 * (6 * 10 * 10 - 12 - 8)", "solution_steps": ["10 × 10 = 100", "6 × 100 = 600", "600 − 12 = 588", "588 − 8 = 580", "1 × 580 = 580"], "key": "three-digit-580-6♣10♠A♣8♥10♣Q♠"} {"id": "train-three-digit-0088", "level": "three-digit", "target": 846, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 13 * (9 + 4 * (5 + 9))", "solution_steps": ["5 + 9 = 14", "4 × 14 = 56", "9 + 56 = 65", "13 × 65 = 845", "1 + 845 = 846"], "key": "three-digit-846-9♣9♥5♣K♠4♣A♦"} {"id": "train-three-digit-0089", "level": "three-digit", "target": 157, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 4 + 2 * 11 + 10 * 13", "solution_steps": ["2 × 11 = 22", "10 × 13 = 130", "22 + 130 = 152", "4 + 152 = 156", "1 + 156 = 157"], "key": "three-digit-157-A♠2♥J♦10♥K♣4♥"} {"id": "train-three-digit-0090", "level": "three-digit", "target": 721, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + (11 + 13) * (7 + 10 + 13)", "solution_steps": ["11 + 13 = 24", "10 + 13 = 23", "7 + 23 = 30", "24 × 30 = 720", "1 + 720 = 721"], "key": "three-digit-721-J♥7♥K♣A♣10♥K♥"} {"id": "train-three-digit-0091", "level": "three-digit", "target": 487, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 6 * (1 + 2 * 5 * 8)", "solution_steps": ["5 × 8 = 40", "2 × 40 = 80", "1 + 80 = 81", "6 × 81 = 486", "1 + 486 = 487"], "key": "three-digit-487-6♥8♠2♥A♠5♣A♦"} {"id": "train-three-digit-0092", "level": "three-digit", "target": 874, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 * (10 * (11 + 3 * 11) - 3)", "solution_steps": ["3 × 11 = 33", "11 + 33 = 44", "10 × 44 = 440", "440 − 3 = 437", "2 × 437 = 874"], "key": "three-digit-874-2♣J♣J♦10♣3♥3♣"} {"id": "train-three-digit-0093", "level": "three-digit", "target": 923, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "10 + 10 * (4 + 8 * 11) - 7", "solution_steps": ["8 × 11 = 88", "4 + 88 = 92", "10 × 92 = 920", "10 + 920 = 930", "930 − 7 = 923"], "key": "three-digit-923-4♠8♣J♠10♣10♠7♥"} {"id": "train-three-digit-0094", "level": "three-digit", "target": 359, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "2 + 7 * (7 + 8 + 3 * 12)", "solution_steps": ["3 × 12 = 36", "8 + 36 = 44", "7 + 44 = 51", "7 × 51 = 357", "2 + 357 = 359"], "key": "three-digit-359-7♦3♣8♥Q♥2♦7♥"} {"id": "train-three-digit-0095", "level": "three-digit", "target": 236, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "3 + 9 + 7 * (4 * 9 - 4)", "solution_steps": ["4 × 9 = 36", "36 − 4 = 32", "7 × 32 = 224", "9 + 224 = 233", "3 + 233 = 236"], "key": "three-digit-236-3♥9♦7♣9♥4♣4♠"} {"id": "train-three-digit-0096", "level": "three-digit", "target": 453, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "9 + 12 + 8 * 9 * (11 - 5)", "solution_steps": ["11 − 5 = 6", "9 × 6 = 54", "8 × 54 = 432", "12 + 432 = 444", "9 + 444 = 453"], "key": "three-digit-453-Q♠8♥J♣9♠9♣5♣"} {"id": "train-three-digit-0097", "level": "three-digit", "target": 655, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "5 * (4 + 10 * (4 + 9) - 3)", "solution_steps": ["4 + 9 = 13", "10 × 13 = 130", "4 + 130 = 134", "134 − 3 = 131", "5 × 131 = 655"], "key": "three-digit-655-3♣4♠10♦4♦9♥5♦"} {"id": "train-three-digit-0098", "level": "three-digit", "target": 901, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 9 * (9 - 4) * (8 + 12)", "solution_steps": ["9 − 4 = 5", "8 + 12 = 20", "5 × 20 = 100", "9 × 100 = 900", "1 + 900 = 901"], "key": "three-digit-901-4♦Q♣9♣A♥8♣9♥"} {"id": "train-three-digit-0099", "level": "three-digit", "target": 469, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 8 * (3 + 7 * 8) - 5", "solution_steps": ["7 × 8 = 56", "3 + 56 = 59", "8 × 59 = 472", "472 − 5 = 467", "2 + 467 = 469"], "key": "three-digit-469-3♥5♠7♠8♠8♥2♠"} {"id": "train-three-digit-0100", "level": "three-digit", "target": 915, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "6 * (9 * (4 + 13) - 2 / 4)", "solution_steps": ["4 + 13 = 17", "9 × 17 = 153", "2 ÷ 4 = 1/2", "153 − 1/2 = 305/2", "6 × 305/2 = 915"], "key": "three-digit-915-6♦9♣4♠K♠4♦2♣"} {"id": "train-three-digit-0101", "level": "three-digit", "target": 511, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "(7 + 12) * (5 + 9 + 13) - 2", "solution_steps": ["7 + 12 = 19", "9 + 13 = 22", "5 + 22 = 27", "19 × 27 = 513", "513 − 2 = 511"], "key": "three-digit-511-7♥5♦Q♥K♣2♣9♣"} {"id": "train-three-digit-0102", "level": "three-digit", "target": 690, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "5 + 8 * (7 + 8 * 10) - 11", "solution_steps": ["8 × 10 = 80", "7 + 80 = 87", "8 × 87 = 696", "696 − 11 = 685", "5 + 685 = 690"], "key": "three-digit-690-5♦8♥10♥8♣7♥J♣"} {"id": "train-three-digit-0103", "level": "three-digit", "target": 687, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "5 * 5 * 7 * (12 - 8) - 13", "solution_steps": ["12 − 8 = 4", "7 × 4 = 28", "5 × 28 = 140", "5 × 140 = 700", "700 − 13 = 687"], "key": "three-digit-687-7♠K♦Q♦8♦5♠5♦"} {"id": "train-three-digit-0104", "level": "three-digit", "target": 556, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "4 + 6 * (13 + 8 * 11 - 9)", "solution_steps": ["8 × 11 = 88", "13 + 88 = 101", "101 − 9 = 92", "6 × 92 = 552", "4 + 552 = 556"], "key": "three-digit-556-J♥9♦K♣4♣6♣8♠"} {"id": "train-three-digit-0105", "level": "three-digit", "target": 770, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 12 * (11 * (3 + 4) - 13)", "solution_steps": ["3 + 4 = 7", "11 × 7 = 77", "77 − 13 = 64", "12 × 64 = 768", "2 + 768 = 770"], "key": "three-digit-770-J♦3♠4♦Q♦K♣2♦"} {"id": "train-three-digit-0106", "level": "three-digit", "target": 124, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 6 + 8 * (7 + 9) - 12", "solution_steps": ["7 + 9 = 16", "8 × 16 = 128", "128 − 12 = 116", "6 + 116 = 122", "2 + 122 = 124"], "key": "three-digit-124-7♣9♠2♦6♠Q♠8♦"} {"id": "train-three-digit-0107", "level": "three-digit", "target": 397, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + (12 - 7) * (9 + 7 * 10)", "solution_steps": ["12 − 7 = 5", "7 × 10 = 70", "9 + 70 = 79", "5 × 79 = 395", "2 + 395 = 397"], "key": "three-digit-397-7♦Q♣9♣10♥7♠2♥"} {"id": "train-three-digit-0108", "level": "three-digit", "target": 912, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 2 * 13 * (4 * 11 - 9)", "solution_steps": ["4 × 11 = 44", "44 − 9 = 35", "13 × 35 = 455", "2 × 455 = 910", "2 + 910 = 912"], "key": "three-digit-912-9♣K♦4♠2♥J♥2♦"} {"id": "train-three-digit-0109", "level": "three-digit", "target": 261, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 * 13 * (5 + 12 - 7)", "solution_steps": ["12 − 7 = 5", "5 + 5 = 10", "13 × 10 = 130", "2 × 130 = 260", "1 + 260 = 261"], "key": "three-digit-261-Q♥2♣7♣5♠A♦K♠"} {"id": "train-three-digit-0110", "level": "three-digit", "target": 435, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "6 + 9 * (7 * 8 - 7) - 12", "solution_steps": ["7 × 8 = 56", "56 − 7 = 49", "9 × 49 = 441", "441 − 12 = 429", "6 + 429 = 435"], "key": "three-digit-435-7♥9♥7♦8♣Q♠6♦"} {"id": "train-three-digit-0111", "level": "three-digit", "target": 659, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 * (7 * (10 * 10 - 4) - 13)", "solution_steps": ["10 × 10 = 100", "100 − 4 = 96", "7 × 96 = 672", "672 − 13 = 659", "1 × 659 = 659"], "key": "three-digit-659-10♣7♦A♠4♣10♠K♦"} {"id": "train-three-digit-0112", "level": "three-digit", "target": 487, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 2 * (12 + 10 * (11 + 12))", "solution_steps": ["11 + 12 = 23", "10 × 23 = 230", "12 + 230 = 242", "2 × 242 = 484", "3 + 484 = 487"], "key": "three-digit-487-10♦Q♣J♠Q♠2♠3♣"} {"id": "train-three-digit-0113", "level": "three-digit", "target": 664, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "4 + 10 * 11 * (8 - (11 - 9))", "solution_steps": ["11 − 9 = 2", "8 − 2 = 6", "11 × 6 = 66", "10 × 66 = 660", "4 + 660 = 664"], "key": "three-digit-664-10♣8♠J♦J♥4♠9♣"} {"id": "train-three-digit-0114", "level": "three-digit", "target": 312, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "2 * 13 * (1 + 10 + 7 / 7)", "solution_steps": ["7 ÷ 7 = 1", "10 + 1 = 11", "1 + 11 = 12", "13 × 12 = 156", "2 × 156 = 312"], "key": "three-digit-312-7♦2♠K♣7♣10♣A♥"} {"id": "train-three-digit-0115", "level": "three-digit", "target": 623, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "(9 * 10 - 1) * (10 - 12 / 4)", "solution_steps": ["9 × 10 = 90", "90 − 1 = 89", "12 ÷ 4 = 3", "10 − 3 = 7", "89 × 7 = 623"], "key": "three-digit-623-4♦10♠10♦A♥Q♣9♣"} {"id": "train-three-digit-0116", "level": "three-digit", "target": 746, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 7 * (9 + 9 * 11) - 13", "solution_steps": ["9 × 11 = 99", "9 + 99 = 108", "7 × 108 = 756", "756 − 13 = 743", "3 + 743 = 746"], "key": "three-digit-746-K♣9♥7♣J♠9♣3♥"} {"id": "train-three-digit-0117", "level": "three-digit", "target": 651, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "4 * 12 * (2 + 12) - 13 - 8", "solution_steps": ["2 + 12 = 14", "12 × 14 = 168", "4 × 168 = 672", "672 − 13 = 659", "659 − 8 = 651"], "key": "three-digit-651-4♥2♥8♦Q♠Q♣K♦"} {"id": "train-three-digit-0118", "level": "three-digit", "target": 279, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 + 8 + 11 * (12 + 13) - 8", "solution_steps": ["12 + 13 = 25", "11 × 25 = 275", "275 − 8 = 267", "8 + 267 = 275", "4 + 275 = 279"], "key": "three-digit-279-K♠Q♦8♣J♣8♠4♦"} {"id": "train-three-digit-0119", "level": "three-digit", "target": 829, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 6 * 6 * (3 + 4 * 5)", "solution_steps": ["4 × 5 = 20", "3 + 20 = 23", "6 × 23 = 138", "6 × 138 = 828", "1 + 828 = 829"], "key": "three-digit-829-4♠6♦A♠3♦6♠5♠"} {"id": "train-three-digit-0120", "level": "three-digit", "target": 915, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "10 * (4 + 8 * (1 + 10)) - 5", "solution_steps": ["1 + 10 = 11", "8 × 11 = 88", "4 + 88 = 92", "10 × 92 = 920", "920 − 5 = 915"], "key": "three-digit-915-10♦5♣A♦10♠8♥4♦"} {"id": "train-three-digit-0121", "level": "three-digit", "target": 275, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "(2 + 9) * (9 + 8 * (1 + 1))", "solution_steps": ["2 + 9 = 11", "1 + 1 = 2", "8 × 2 = 16", "9 + 16 = 25", "11 × 25 = 275"], "key": "three-digit-275-2♣A♥9♦9♥A♦8♣"} {"id": "train-three-digit-0122", "level": "three-digit", "target": 351, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 * 10 * (13 + 2 * 11)", "solution_steps": ["2 × 11 = 22", "13 + 22 = 35", "10 × 35 = 350", "1 × 350 = 350", "1 + 350 = 351"], "key": "three-digit-351-K♠2♥J♠A♦10♥A♣"} {"id": "train-three-digit-0123", "level": "three-digit", "target": 546, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 * 2 * 13 * (3 + 7 + 11)", "solution_steps": ["7 + 11 = 18", "3 + 18 = 21", "13 × 21 = 273", "2 × 273 = 546", "1 × 546 = 546"], "key": "three-digit-546-7♥K♣J♠2♣A♥3♦"} {"id": "train-three-digit-0124", "level": "three-digit", "target": 187, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "7 + 8 + 8 * (10 + 13) - 12", "solution_steps": ["10 + 13 = 23", "8 × 23 = 184", "184 − 12 = 172", "8 + 172 = 180", "7 + 180 = 187"], "key": "three-digit-187-10♠K♠Q♦8♥8♠7♦"} {"id": "train-three-digit-0125", "level": "three-digit", "target": 403, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 6 * (3 * (12 + 12) - 5)", "solution_steps": ["12 + 12 = 24", "3 × 24 = 72", "72 − 5 = 67", "6 × 67 = 402", "1 + 402 = 403"], "key": "three-digit-403-Q♠A♦5♦3♦Q♦6♦"} {"id": "train-three-digit-0126", "level": "three-digit", "target": 584, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "13 + 8 * (12 + 5 * 12) - 5", "solution_steps": ["5 × 12 = 60", "12 + 60 = 72", "8 × 72 = 576", "13 + 576 = 589", "589 − 5 = 584"], "key": "three-digit-584-5♥5♦8♦K♠Q♣Q♦"} {"id": "train-three-digit-0127", "level": "three-digit", "target": 621, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "7 * (5 * (10 + 10) - 11) - 2", "solution_steps": ["10 + 10 = 20", "5 × 20 = 100", "100 − 11 = 89", "7 × 89 = 623", "623 − 2 = 621"], "key": "three-digit-621-10♠7♦J♠2♥5♠10♥"} {"id": "train-three-digit-0128", "level": "three-digit", "target": 818, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "10 * (8 * 12 - 13) - 7 - 5", "solution_steps": ["8 × 12 = 96", "96 − 13 = 83", "10 × 83 = 830", "830 − 7 = 823", "823 − 5 = 818"], "key": "three-digit-818-Q♥5♠K♥7♠10♥8♣"} {"id": "train-three-digit-0129", "level": "three-digit", "target": 535, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 7 * (10 * 13 - 6 * 9)", "solution_steps": ["10 × 13 = 130", "6 × 9 = 54", "130 − 54 = 76", "7 × 76 = 532", "3 + 532 = 535"], "key": "three-digit-535-9♥10♥7♣6♣K♥3♣"} {"id": "train-three-digit-0130", "level": "three-digit", "target": 255, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 4 + 10 * (3 * 11 - 8)", "solution_steps": ["3 × 11 = 33", "33 − 8 = 25", "10 × 25 = 250", "4 + 250 = 254", "1 + 254 = 255"], "key": "three-digit-255-4♦J♦10♦A♠3♠8♣"} {"id": "train-three-digit-0131", "level": "three-digit", "target": 588, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 5 + 7 * (13 + 7 * 10)", "solution_steps": ["7 × 10 = 70", "13 + 70 = 83", "7 × 83 = 581", "5 + 581 = 586", "2 + 586 = 588"], "key": "three-digit-588-10♥7♦2♣7♣5♣K♥"} {"id": "train-three-digit-0132", "level": "three-digit", "target": 542, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 + 7 * 11 * (10 - 3) - 1", "solution_steps": ["10 − 3 = 7", "11 × 7 = 77", "7 × 77 = 539", "4 + 539 = 543", "543 − 1 = 542"], "key": "three-digit-542-A♣7♥J♠10♦3♣4♣"} {"id": "train-three-digit-0133", "level": "three-digit", "target": 864, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "11 * (9 * (10 - 1) - 2) - 5", "solution_steps": ["10 − 1 = 9", "9 × 9 = 81", "81 − 2 = 79", "11 × 79 = 869", "869 − 5 = 864"], "key": "three-digit-864-9♣A♠5♣10♠2♣J♥"} {"id": "train-three-digit-0134", "level": "three-digit", "target": 794, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "8 + (11 - 5) * (12 * 12 - 13)", "solution_steps": ["11 − 5 = 6", "12 × 12 = 144", "144 − 13 = 131", "6 × 131 = 786", "8 + 786 = 794"], "key": "three-digit-794-K♥Q♣8♥Q♦J♦5♣"} {"id": "train-three-digit-0135", "level": "three-digit", "target": 324, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 * (13 * (10 - 11 / 11) - 9)", "solution_steps": ["11 ÷ 11 = 1", "10 − 1 = 9", "13 × 9 = 117", "117 − 9 = 108", "3 × 108 = 324"], "key": "three-digit-324-9♥J♠10♦J♣K♥3♣"} {"id": "train-three-digit-0136", "level": "three-digit", "target": 286, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + (8 * 8 * 9 - 6) / 2", "solution_steps": ["8 × 9 = 72", "8 × 72 = 576", "576 − 6 = 570", "570 ÷ 2 = 285", "1 + 285 = 286"], "key": "three-digit-286-6♥8♠9♠2♠A♣8♥"} {"id": "train-three-digit-0137", "level": "three-digit", "target": 925, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "8 * (11 * (5 + 6) - 5) - 3", "solution_steps": ["5 + 6 = 11", "11 × 11 = 121", "121 − 5 = 116", "8 × 116 = 928", "928 − 3 = 925"], "key": "three-digit-925-5♦3♦6♦5♥J♥8♦"} {"id": "train-three-digit-0138", "level": "three-digit", "target": 120, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 8 + 10 * (9 + 10 / 5)", "solution_steps": ["10 ÷ 5 = 2", "9 + 2 = 11", "10 × 11 = 110", "8 + 110 = 118", "2 + 118 = 120"], "key": "three-digit-120-10♥10♦9♦8♥2♣5♦"} {"id": "train-three-digit-0139", "level": "three-digit", "target": 219, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 4 + 9 * (12 + 13) - 11", "solution_steps": ["12 + 13 = 25", "9 × 25 = 225", "225 − 11 = 214", "4 + 214 = 218", "1 + 218 = 219"], "key": "three-digit-219-9♥4♥Q♥A♣K♦J♦"} {"id": "train-three-digit-0140", "level": "three-digit", "target": 904, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 * (12 + 4 * 5 * (11 + 11))", "solution_steps": ["11 + 11 = 22", "5 × 22 = 110", "4 × 110 = 440", "12 + 440 = 452", "2 × 452 = 904"], "key": "three-digit-904-4♥2♠J♥Q♥5♠J♣"} {"id": "train-three-digit-0141", "level": "three-digit", "target": 929, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "5 + 11 * (12 + 2 * 6 * 6)", "solution_steps": ["6 × 6 = 36", "2 × 36 = 72", "12 + 72 = 84", "11 × 84 = 924", "5 + 924 = 929"], "key": "three-digit-929-6♦J♠6♣Q♥2♠5♠"} {"id": "train-three-digit-0142", "level": "three-digit", "target": 297, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 4 * (9 * 10 - 9 - 7)", "solution_steps": ["9 × 10 = 90", "90 − 9 = 81", "81 − 7 = 74", "4 × 74 = 296", "1 + 296 = 297"], "key": "three-digit-297-A♥4♠9♣9♠10♠7♥"} {"id": "train-three-digit-0143", "level": "three-digit", "target": 333, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "10 * (6 + 8 + 10 + 10) - 7", "solution_steps": ["10 + 10 = 20", "8 + 20 = 28", "6 + 28 = 34", "10 × 34 = 340", "340 − 7 = 333"], "key": "three-digit-333-8♣7♠10♠10♦10♣6♠"} {"id": "train-three-digit-0144", "level": "three-digit", "target": 891, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "3 + 6 * (2 * 9 + 10 * 13)", "solution_steps": ["2 × 9 = 18", "10 × 13 = 130", "18 + 130 = 148", "6 × 148 = 888", "3 + 888 = 891"], "key": "three-digit-891-10♠2♦K♠3♠9♣6♦"} {"id": "train-three-digit-0145", "level": "three-digit", "target": 979, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "7 + 3 * 9 * 12 * (13 - 10)", "solution_steps": ["13 − 10 = 3", "12 × 3 = 36", "9 × 36 = 324", "3 × 324 = 972", "7 + 972 = 979"], "key": "three-digit-979-10♣Q♠K♦9♠7♥3♠"} {"id": "train-three-digit-0146", "level": "three-digit", "target": 186, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 8 * (11 + 3 * (8 - 4))", "solution_steps": ["8 − 4 = 4", "3 × 4 = 12", "11 + 12 = 23", "8 × 23 = 184", "2 + 184 = 186"], "key": "three-digit-186-4♠J♠8♠3♠2♠8♥"} {"id": "train-three-digit-0147", "level": "three-digit", "target": 825, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "11 * (11 * (6 + 8) - 4) / 2", "solution_steps": ["6 + 8 = 14", "11 × 14 = 154", "154 − 4 = 150", "11 × 150 = 1650", "1650 ÷ 2 = 825"], "key": "three-digit-825-6♣2♣J♠8♠4♦J♣"} {"id": "train-three-digit-0148", "level": "three-digit", "target": 209, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "5 + (12 + 12 * 13 * 13) / 10", "solution_steps": ["13 × 13 = 169", "12 × 169 = 2028", "12 + 2028 = 2040", "2040 ÷ 10 = 204", "5 + 204 = 209"], "key": "three-digit-209-Q♠K♠K♦10♥5♣Q♣"} {"id": "train-three-digit-0149", "level": "three-digit", "target": 469, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 13 * (4 + 2 * (8 + 8))", "solution_steps": ["8 + 8 = 16", "2 × 16 = 32", "4 + 32 = 36", "13 × 36 = 468", "1 + 468 = 469"], "key": "three-digit-469-8♠2♦8♥K♥A♦4♥"} {"id": "train-three-digit-0150", "level": "three-digit", "target": 556, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 * 2 * (12 * (5 + 7) - 5)", "solution_steps": ["5 + 7 = 12", "12 × 12 = 144", "144 − 5 = 139", "2 × 139 = 278", "2 × 278 = 556"], "key": "three-digit-556-2♥5♦2♠5♣7♣Q♠"} {"id": "train-three-digit-0151", "level": "three-digit", "target": 269, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 12 * (3 + 10 + 10) - 9", "solution_steps": ["10 + 10 = 20", "3 + 20 = 23", "12 × 23 = 276", "276 − 9 = 267", "2 + 267 = 269"], "key": "three-digit-269-Q♠10♠10♥2♣9♣3♣"} {"id": "train-three-digit-0152", "level": "three-digit", "target": 160, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 3 * 13 + 3 * 5 * 8", "solution_steps": ["3 × 13 = 39", "5 × 8 = 40", "3 × 40 = 120", "39 + 120 = 159", "1 + 159 = 160"], "key": "three-digit-160-3♦8♦A♣5♣3♠K♣"} {"id": "train-three-digit-0153", "level": "three-digit", "target": 660, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 * 3 * 11 * (10 + 12 - 2)", "solution_steps": ["10 + 12 = 22", "22 − 2 = 20", "11 × 20 = 220", "3 × 220 = 660", "1 × 660 = 660"], "key": "three-digit-660-Q♣J♦A♠3♦10♣2♠"} {"id": "train-three-digit-0154", "level": "three-digit", "target": 715, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "7 * (13 + 9 * 10) - 4 - 2", "solution_steps": ["9 × 10 = 90", "13 + 90 = 103", "7 × 103 = 721", "721 − 4 = 717", "717 − 2 = 715"], "key": "three-digit-715-2♣9♥4♣K♥7♦10♠"} {"id": "train-three-digit-0155", "level": "three-digit", "target": 980, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "4 + 6 + 10 + 8 * 10 * 12", "solution_steps": ["10 × 12 = 120", "8 × 120 = 960", "10 + 960 = 970", "6 + 970 = 976", "4 + 976 = 980"], "key": "three-digit-980-4♠Q♣10♦8♦10♠6♦"} {"id": "train-three-digit-0156", "level": "three-digit", "target": 279, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 6 + 11 * (12 + 13) - 3", "solution_steps": ["12 + 13 = 25", "11 × 25 = 275", "6 + 275 = 281", "281 − 3 = 278", "1 + 278 = 279"], "key": "three-digit-279-6♣Q♥J♠K♣3♣A♠"} {"id": "train-three-digit-0157", "level": "three-digit", "target": 612, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 7 * (11 + 6 * 13) - 12", "solution_steps": ["6 × 13 = 78", "11 + 78 = 89", "7 × 89 = 623", "623 − 12 = 611", "1 + 611 = 612"], "key": "three-digit-612-K♣Q♣6♣7♦A♠J♥"} {"id": "train-three-digit-0158", "level": "three-digit", "target": 524, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "4 + 13 * (12 * (11 - 7) - 8)", "solution_steps": ["11 − 7 = 4", "12 × 4 = 48", "48 − 8 = 40", "13 × 40 = 520", "4 + 520 = 524"], "key": "three-digit-524-7♣4♣K♠J♦Q♥8♣"} {"id": "train-three-digit-0159", "level": "three-digit", "target": 778, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 * (5 * 12 * 13 - 8 / 4)", "solution_steps": ["12 × 13 = 156", "5 × 156 = 780", "8 ÷ 4 = 2", "780 − 2 = 778", "1 × 778 = 778"], "key": "three-digit-778-8♥Q♥K♠5♥A♥4♣"} {"id": "train-three-digit-0160", "level": "three-digit", "target": 907, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 * (3 + 4 + 9 * 10 * 10)", "solution_steps": ["10 × 10 = 100", "9 × 100 = 900", "4 + 900 = 904", "3 + 904 = 907", "1 × 907 = 907"], "key": "three-digit-907-3♣10♣10♦4♥A♣9♥"} {"id": "train-three-digit-0161", "level": "three-digit", "target": 262, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "9 + 11 * (5 * 6 - 6) - 11", "solution_steps": ["5 × 6 = 30", "30 − 6 = 24", "11 × 24 = 264", "264 − 11 = 253", "9 + 253 = 262"], "key": "three-digit-262-J♦9♦6♦5♥6♠J♣"} {"id": "train-three-digit-0162", "level": "three-digit", "target": 948, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 * (6 + 10 * (11 + 2 * 10))", "solution_steps": ["2 × 10 = 20", "11 + 20 = 31", "10 × 31 = 310", "6 + 310 = 316", "3 × 316 = 948"], "key": "three-digit-948-10♣3♠10♠2♦6♠J♦"} {"id": "train-three-digit-0163", "level": "three-digit", "target": 524, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 7 + 6 * (2 + 7 * 12)", "solution_steps": ["7 × 12 = 84", "2 + 84 = 86", "6 × 86 = 516", "7 + 516 = 523", "1 + 523 = 524"], "key": "three-digit-524-6♥Q♦7♦2♦7♣A♠"} {"id": "train-three-digit-0164", "level": "three-digit", "target": 189, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "11 + 12 + 9 * (7 + 12) - 5", "solution_steps": ["7 + 12 = 19", "9 × 19 = 171", "12 + 171 = 183", "11 + 183 = 194", "194 − 5 = 189"], "key": "three-digit-189-Q♦J♣9♠7♠Q♥5♥"} {"id": "train-three-digit-0165", "level": "three-digit", "target": 997, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "(2 + 8) * (8 * 13 - 4) - 3", "solution_steps": ["2 + 8 = 10", "8 × 13 = 104", "104 − 4 = 100", "10 × 100 = 1000", "1000 − 3 = 997"], "key": "three-digit-997-8♠K♦2♦3♦8♣4♥"} {"id": "train-three-digit-0166", "level": "three-digit", "target": 183, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 11 * (8 + 3 * 3) - 7", "solution_steps": ["3 × 3 = 9", "8 + 9 = 17", "11 × 17 = 187", "187 − 7 = 180", "3 + 180 = 183"], "key": "three-digit-183-8♣3♦3♣J♥7♠3♠"} {"id": "train-three-digit-0167", "level": "three-digit", "target": 605, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 * 5 * (3 + 8) * (4 + 7)", "solution_steps": ["3 + 8 = 11", "4 + 7 = 11", "11 × 11 = 121", "5 × 121 = 605", "1 × 605 = 605"], "key": "three-digit-605-8♣7♥A♥5♠3♣4♥"} {"id": "train-three-digit-0168", "level": "three-digit", "target": 384, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + (7 + 10) * (11 + 12) - 8", "solution_steps": ["7 + 10 = 17", "11 + 12 = 23", "17 × 23 = 391", "391 − 8 = 383", "1 + 383 = 384"], "key": "three-digit-384-Q♣J♥A♥7♦10♣8♦"} {"id": "train-three-digit-0169", "level": "three-digit", "target": 536, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "3 + 5 + 4 * 6 * (11 + 11)", "solution_steps": ["11 + 11 = 22", "6 × 22 = 132", "4 × 132 = 528", "5 + 528 = 533", "3 + 533 = 536"], "key": "three-digit-536-J♣J♦6♣3♣5♥4♦"} {"id": "train-three-digit-0170", "level": "three-digit", "target": 758, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "6 + 8 * (8 * 13 - 5 - 5)", "solution_steps": ["8 × 13 = 104", "104 − 5 = 99", "99 − 5 = 94", "8 × 94 = 752", "6 + 752 = 758"], "key": "three-digit-758-8♥K♥5♣6♣5♦8♠"} {"id": "train-three-digit-0171", "level": "three-digit", "target": 147, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "4 + 9 * (5 * 6 - 13) - 10", "solution_steps": ["5 × 6 = 30", "30 − 13 = 17", "9 × 17 = 153", "153 − 10 = 143", "4 + 143 = 147"], "key": "three-digit-147-9♣10♠5♣6♥4♠K♦"} {"id": "train-three-digit-0172", "level": "three-digit", "target": 985, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "(2 + 12) * (9 * 9 - 10) - 9", "solution_steps": ["2 + 12 = 14", "9 × 9 = 81", "81 − 10 = 71", "14 × 71 = 994", "994 − 9 = 985"], "key": "three-digit-985-9♦9♣Q♣9♠10♥2♣"} {"id": "train-three-digit-0173", "level": "three-digit", "target": 971, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "5 + 7 * (8 + 13 * (4 + 6))", "solution_steps": ["4 + 6 = 10", "13 × 10 = 130", "8 + 130 = 138", "7 × 138 = 966", "5 + 966 = 971"], "key": "three-digit-971-4♦K♦5♦7♣6♠8♣"} {"id": "train-three-digit-0174", "level": "three-digit", "target": 397, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "(13 - 9) * (9 * 12 - 8) - 3", "solution_steps": ["13 − 9 = 4", "9 × 12 = 108", "108 − 8 = 100", "4 × 100 = 400", "400 − 3 = 397"], "key": "three-digit-397-9♥K♦Q♠9♠3♣8♠"} {"id": "train-three-digit-0175", "level": "three-digit", "target": 760, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "4 + 9 * (11 - 7) * (9 + 12)", "solution_steps": ["11 − 7 = 4", "9 + 12 = 21", "4 × 21 = 84", "9 × 84 = 756", "4 + 756 = 760"], "key": "three-digit-760-Q♠7♦4♥9♥J♠9♣"} {"id": "train-three-digit-0176", "level": "three-digit", "target": 328, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "10 + 4 * 5 * (4 + 12) - 2", "solution_steps": ["4 + 12 = 16", "5 × 16 = 80", "4 × 80 = 320", "10 + 320 = 330", "330 − 2 = 328"], "key": "three-digit-328-5♦Q♣2♥4♥10♣4♠"} {"id": "train-three-digit-0177", "level": "three-digit", "target": 326, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 5 * (2 + 11) * (12 - 7)", "solution_steps": ["2 + 11 = 13", "12 − 7 = 5", "13 × 5 = 65", "5 × 65 = 325", "1 + 325 = 326"], "key": "three-digit-326-J♠A♣7♥5♠2♣Q♥"} {"id": "train-three-digit-0178", "level": "three-digit", "target": 645, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "9 * (13 + 5 * 12) - 8 - 4", "solution_steps": ["5 × 12 = 60", "13 + 60 = 73", "9 × 73 = 657", "657 − 8 = 649", "649 − 4 = 645"], "key": "three-digit-645-K♣8♥5♣4♠9♣Q♥"} {"id": "train-three-digit-0179", "level": "three-digit", "target": 337, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "4 * 5 * (8 + 13 - 4) - 3", "solution_steps": ["8 + 13 = 21", "21 − 4 = 17", "5 × 17 = 85", "4 × 85 = 340", "340 − 3 = 337"], "key": "three-digit-337-3♣4♦5♦8♦K♠4♥"} {"id": "train-three-digit-0180", "level": "three-digit", "target": 264, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "8 * (8 + 10 * 13 / 5) - 8", "solution_steps": ["10 × 13 = 130", "130 ÷ 5 = 26", "8 + 26 = 34", "8 × 34 = 272", "272 − 8 = 264"], "key": "three-digit-264-8♦5♣8♠10♦8♥K♥"} {"id": "train-three-digit-0181", "level": "three-digit", "target": 271, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "5 + 5 + 9 * (6 + 11 + 12)", "solution_steps": ["11 + 12 = 23", "6 + 23 = 29", "9 × 29 = 261", "5 + 261 = 266", "5 + 266 = 271"], "key": "three-digit-271-9♠5♦Q♣6♦5♥J♦"} {"id": "train-three-digit-0182", "level": "three-digit", "target": 476, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "7 * (12 + 6 * 10 * 10) / 9", "solution_steps": ["10 × 10 = 100", "6 × 100 = 600", "12 + 600 = 612", "612 ÷ 9 = 68", "7 × 68 = 476"], "key": "three-digit-476-7♠10♦6♦10♣Q♦9♥"} {"id": "train-three-digit-0183", "level": "three-digit", "target": 266, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "9 + 8 * 11 * (12 - 9) - 7", "solution_steps": ["12 − 9 = 3", "11 × 3 = 33", "8 × 33 = 264", "9 + 264 = 273", "273 − 7 = 266"], "key": "three-digit-266-9♥7♠J♥Q♥8♠9♠"} {"id": "train-three-digit-0184", "level": "three-digit", "target": 610, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "10 + 6 * (9 * 11 + 12 / 12)", "solution_steps": ["9 × 11 = 99", "12 ÷ 12 = 1", "99 + 1 = 100", "6 × 100 = 600", "10 + 600 = 610"], "key": "three-digit-610-Q♦6♥9♥Q♥J♦10♦"} {"id": "train-three-digit-0185", "level": "three-digit", "target": 282, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + (2 + 13) * (8 + 11) - 4", "solution_steps": ["2 + 13 = 15", "8 + 11 = 19", "15 × 19 = 285", "285 − 4 = 281", "1 + 281 = 282"], "key": "three-digit-282-8♥J♣2♠K♣A♥4♦"} {"id": "train-three-digit-0186", "level": "three-digit", "target": 226, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "6 * (5 + 4 * 11 - 11) - 2", "solution_steps": ["4 × 11 = 44", "44 − 11 = 33", "5 + 33 = 38", "6 × 38 = 228", "228 − 2 = 226"], "key": "three-digit-226-6♥4♦2♣J♥J♦5♣"} {"id": "train-three-digit-0187", "level": "three-digit", "target": 812, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 11 * (9 + 5 * 13) - 4", "solution_steps": ["5 × 13 = 65", "9 + 65 = 74", "11 × 74 = 814", "814 − 4 = 810", "2 + 810 = 812"], "key": "three-digit-812-J♥5♦2♣K♠9♦4♣"} {"id": "train-three-digit-0188", "level": "three-digit", "target": 785, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "(13 - 7) * (12 + 11 * 11) - 13", "solution_steps": ["13 − 7 = 6", "11 × 11 = 121", "12 + 121 = 133", "6 × 133 = 798", "798 − 13 = 785"], "key": "three-digit-785-Q♠J♥K♠K♦J♣7♥"} {"id": "train-three-digit-0189", "level": "three-digit", "target": 400, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 7 * (5 + 12 * 13 / 3)", "solution_steps": ["12 × 13 = 156", "156 ÷ 3 = 52", "5 + 52 = 57", "7 × 57 = 399", "1 + 399 = 400"], "key": "three-digit-400-7♣3♥K♣Q♦5♠A♦"} {"id": "train-three-digit-0190", "level": "three-digit", "target": 110, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 5 + 13 * (7 + 10 - 9)", "solution_steps": ["10 − 9 = 1", "7 + 1 = 8", "13 × 8 = 104", "5 + 104 = 109", "1 + 109 = 110"], "key": "three-digit-110-A♥10♦5♠K♣7♦9♣"} {"id": "train-three-digit-0191", "level": "three-digit", "target": 778, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "8 + 3 * 4 * 5 * 13 - 10", "solution_steps": ["5 × 13 = 65", "4 × 65 = 260", "3 × 260 = 780", "780 − 10 = 770", "8 + 770 = 778"], "key": "three-digit-778-8♠10♣3♥4♣K♣5♣"} {"id": "train-three-digit-0192", "level": "three-digit", "target": 393, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "13 + 7 * (7 + 4 * 12) - 5", "solution_steps": ["4 × 12 = 48", "7 + 48 = 55", "7 × 55 = 385", "13 + 385 = 398", "398 − 5 = 393"], "key": "three-digit-393-7♠K♠5♣Q♦7♣4♣"} {"id": "train-three-digit-0193", "level": "three-digit", "target": 101, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 5 + 8 * 13 - 6 - 4", "solution_steps": ["8 × 13 = 104", "104 − 6 = 98", "5 + 98 = 103", "103 − 4 = 99", "2 + 99 = 101"], "key": "three-digit-101-5♥4♠2♦6♠K♣8♥"} {"id": "train-three-digit-0194", "level": "three-digit", "target": 682, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "(1 + 10) * (6 + 7 * (1 + 7))", "solution_steps": ["1 + 10 = 11", "1 + 7 = 8", "7 × 8 = 56", "6 + 56 = 62", "11 × 62 = 682"], "key": "three-digit-682-6♣A♠7♦A♦10♥7♣"} {"id": "train-three-digit-0195", "level": "three-digit", "target": 703, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "(9 + 11 - 1) * (12 + 12 + 13)", "solution_steps": ["9 + 11 = 20", "20 − 1 = 19", "12 + 13 = 25", "12 + 25 = 37", "19 × 37 = 703"], "key": "three-digit-703-9♦Q♠A♠J♦K♠Q♣"} {"id": "train-three-digit-0196", "level": "three-digit", "target": 952, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 * 5 * 8 * 12 - 7 - 1", "solution_steps": ["8 × 12 = 96", "5 × 96 = 480", "2 × 480 = 960", "960 − 7 = 953", "953 − 1 = 952"], "key": "three-digit-952-2♥7♠A♥8♠5♥Q♦"} {"id": "train-three-digit-0197", "level": "three-digit", "target": 857, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "13 * (7 + 5 * 12) - 8 - 6", "solution_steps": ["5 × 12 = 60", "7 + 60 = 67", "13 × 67 = 871", "871 − 8 = 863", "863 − 6 = 857"], "key": "three-digit-857-7♦8♥5♣Q♥K♥6♣"} {"id": "train-three-digit-0198", "level": "three-digit", "target": 127, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 5 * 13 * (8 - 6) - 5", "solution_steps": ["8 − 6 = 2", "13 × 2 = 26", "5 × 26 = 130", "130 − 5 = 125", "2 + 125 = 127"], "key": "three-digit-127-5♠K♦6♣2♦8♠5♥"} {"id": "train-three-digit-0199", "level": "three-digit", "target": 626, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "9 * 10 * (11 - 4) - 2 - 2", "solution_steps": ["11 − 4 = 7", "10 × 7 = 70", "9 × 70 = 630", "630 − 2 = 628", "628 − 2 = 626"], "key": "three-digit-626-10♠2♦J♥4♣2♠9♣"} {"id": "train-three-digit-0200", "level": "three-digit", "target": 155, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 11 * (3 + 12) - 9 - 2", "solution_steps": ["3 + 12 = 15", "11 × 15 = 165", "165 − 9 = 156", "156 − 2 = 154", "1 + 154 = 155"], "key": "three-digit-155-2♦A♣9♦3♣Q♥J♠"} {"id": "train-three-digit-0201", "level": "three-digit", "target": 480, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "8 * 10 * 12 / ((9 + 11) / 10)", "solution_steps": ["9 + 11 = 20", "20 ÷ 10 = 2", "12 ÷ 2 = 6", "10 × 6 = 60", "8 × 60 = 480"], "key": "three-digit-480-8♣J♥10♦9♠10♥Q♣"} {"id": "train-three-digit-0202", "level": "three-digit", "target": 361, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "9 + 11 + 11 * (9 + 10 + 12)", "solution_steps": ["10 + 12 = 22", "9 + 22 = 31", "11 × 31 = 341", "11 + 341 = 352", "9 + 352 = 361"], "key": "three-digit-361-9♦10♠J♠J♣Q♣9♣"} {"id": "train-three-digit-0203", "level": "three-digit", "target": 213, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "12 + 12 * (7 + 11) - 8 - 7", "solution_steps": ["7 + 11 = 18", "12 × 18 = 216", "12 + 216 = 228", "228 − 8 = 220", "220 − 7 = 213"], "key": "three-digit-213-Q♦Q♣8♠J♠7♥7♦"} {"id": "train-three-digit-0204", "level": "three-digit", "target": 680, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "6 * (11 * (1 + 10) - 7) - 4", "solution_steps": ["1 + 10 = 11", "11 × 11 = 121", "121 − 7 = 114", "6 × 114 = 684", "684 − 4 = 680"], "key": "three-digit-680-J♦7♠10♦6♦A♦4♦"} {"id": "train-three-digit-0205", "level": "three-digit", "target": 656, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 * 4 * (3 + 8 * 10 - 1)", "solution_steps": ["8 × 10 = 80", "3 + 80 = 83", "83 − 1 = 82", "4 × 82 = 328", "2 × 328 = 656"], "key": "three-digit-656-10♣A♠8♣4♠3♥2♦"} {"id": "train-three-digit-0206", "level": "three-digit", "target": 243, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "10 + 13 * (3 * 10 - 12) - 1", "solution_steps": ["3 × 10 = 30", "30 − 12 = 18", "13 × 18 = 234", "10 + 234 = 244", "244 − 1 = 243"], "key": "three-digit-243-3♥10♣A♠K♣10♥Q♣"} {"id": "train-three-digit-0207", "level": "three-digit", "target": 892, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "9 + 12 * (2 + 6 * 12) - 5", "solution_steps": ["6 × 12 = 72", "2 + 72 = 74", "12 × 74 = 888", "9 + 888 = 897", "897 − 5 = 892"], "key": "three-digit-892-6♠5♦Q♦Q♥2♦9♥"} {"id": "train-three-digit-0208", "level": "three-digit", "target": 587, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "12 * (3 * 3 * 7 - 13) - 13", "solution_steps": ["3 × 7 = 21", "3 × 21 = 63", "63 − 13 = 50", "12 × 50 = 600", "600 − 13 = 587"], "key": "three-digit-587-7♦3♥3♠K♦Q♠K♠"} {"id": "train-three-digit-0209", "level": "three-digit", "target": 171, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "4 + (12 + 9 * 10 * 11) / 6", "solution_steps": ["10 × 11 = 110", "9 × 110 = 990", "12 + 990 = 1002", "1002 ÷ 6 = 167", "4 + 167 = 171"], "key": "three-digit-171-4♥6♠J♣9♥Q♣10♣"} {"id": "train-three-digit-0210", "level": "three-digit", "target": 764, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 6 * (7 + 10 * (5 + 7))", "solution_steps": ["5 + 7 = 12", "10 × 12 = 120", "7 + 120 = 127", "6 × 127 = 762", "2 + 762 = 764"], "key": "three-digit-764-6♠2♦10♣7♥5♠7♦"} {"id": "train-three-digit-0211", "level": "three-digit", "target": 897, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 * 12 * (5 * 7 - 10) - 3", "solution_steps": ["5 × 7 = 35", "35 − 10 = 25", "12 × 25 = 300", "3 × 300 = 900", "900 − 3 = 897"], "key": "three-digit-897-3♦3♥5♣10♠Q♠7♥"} {"id": "train-three-digit-0212", "level": "three-digit", "target": 542, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 8 + 7 * 7 * 11 - 7", "solution_steps": ["7 × 11 = 77", "7 × 77 = 539", "8 + 539 = 547", "547 − 7 = 540", "2 + 540 = 542"], "key": "three-digit-542-8♥7♠7♣7♦2♦J♠"} {"id": "train-three-digit-0213", "level": "three-digit", "target": 701, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "11 * (6 * (3 + 9) - 8) - 3", "solution_steps": ["3 + 9 = 12", "6 × 12 = 72", "72 − 8 = 64", "11 × 64 = 704", "704 − 3 = 701"], "key": "three-digit-701-3♠6♦8♠9♣3♣J♠"} {"id": "train-three-digit-0214", "level": "three-digit", "target": 938, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 * 4 * (7 * 12 - 6)", "solution_steps": ["7 × 12 = 84", "84 − 6 = 78", "4 × 78 = 312", "3 × 312 = 936", "2 + 936 = 938"], "key": "three-digit-938-2♣Q♣4♠6♥7♦3♠"} {"id": "train-three-digit-0215", "level": "three-digit", "target": 443, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "4 + 8 + 7 * 7 * 9 - 10", "solution_steps": ["7 × 9 = 63", "7 × 63 = 441", "441 − 10 = 431", "8 + 431 = 439", "4 + 439 = 443"], "key": "three-digit-443-4♠7♠8♦9♣10♣7♣"} {"id": "train-three-digit-0216", "level": "three-digit", "target": 295, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "2 * (7 + 11 * 13) - 4 - 1", "solution_steps": ["11 × 13 = 143", "7 + 143 = 150", "2 × 150 = 300", "300 − 4 = 296", "296 − 1 = 295"], "key": "three-digit-295-7♦K♥J♠2♥4♣A♥"} {"id": "train-three-digit-0217", "level": "three-digit", "target": 543, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 * (4 * 6 * (4 + 4) - 11)", "solution_steps": ["4 + 4 = 8", "6 × 8 = 48", "4 × 48 = 192", "192 − 11 = 181", "3 × 181 = 543"], "key": "three-digit-543-4♥4♣4♦6♠3♥J♣"} {"id": "train-three-digit-0218", "level": "three-digit", "target": 103, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 4 * 13 + 7 * (13 - 6)", "solution_steps": ["4 × 13 = 52", "13 − 6 = 7", "7 × 7 = 49", "52 + 49 = 101", "2 + 101 = 103"], "key": "three-digit-103-6♣2♥4♣K♥7♠K♠"} {"id": "train-three-digit-0219", "level": "three-digit", "target": 517, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "11 * (5 + 6 * (6 + 9 / 9))", "solution_steps": ["9 ÷ 9 = 1", "6 + 1 = 7", "6 × 7 = 42", "5 + 42 = 47", "11 × 47 = 517"], "key": "three-digit-517-6♠9♦5♣6♥J♥9♥"} {"id": "train-three-digit-0220", "level": "three-digit", "target": 354, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + (4 + 12) * (3 * 9 - 5)", "solution_steps": ["4 + 12 = 16", "3 × 9 = 27", "27 − 5 = 22", "16 × 22 = 352", "2 + 352 = 354"], "key": "three-digit-354-5♥4♣Q♣9♥2♥3♠"} {"id": "train-three-digit-0221", "level": "three-digit", "target": 510, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 * 6 * (5 + 10 * (2 + 6))", "solution_steps": ["2 + 6 = 8", "10 × 8 = 80", "5 + 80 = 85", "6 × 85 = 510", "1 × 510 = 510"], "key": "three-digit-510-A♦6♣2♦5♠10♠6♠"} {"id": "train-three-digit-0222", "level": "three-digit", "target": 172, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 4 * 4 + 7 * (9 + 13)", "solution_steps": ["4 × 4 = 16", "9 + 13 = 22", "7 × 22 = 154", "16 + 154 = 170", "2 + 170 = 172"], "key": "three-digit-172-4♠9♦K♠4♥2♣7♠"} {"id": "train-three-digit-0223", "level": "three-digit", "target": 491, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "4 * 7 * (5 + 13) - 7 - 6", "solution_steps": ["5 + 13 = 18", "7 × 18 = 126", "4 × 126 = 504", "504 − 7 = 497", "497 − 6 = 491"], "key": "three-digit-491-7♦5♣6♦4♥K♠7♠"} {"id": "train-three-digit-0224", "level": "three-digit", "target": 785, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "5 + 6 + 6 * (11 * 12 - 3)", "solution_steps": ["11 × 12 = 132", "132 − 3 = 129", "6 × 129 = 774", "6 + 774 = 780", "5 + 780 = 785"], "key": "three-digit-785-6♦J♦3♦6♥5♠Q♦"} {"id": "train-three-digit-0225", "level": "three-digit", "target": 934, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "4 + 6 * (2 + 9 * (5 + 12))", "solution_steps": ["5 + 12 = 17", "9 × 17 = 153", "2 + 153 = 155", "6 × 155 = 930", "4 + 930 = 934"], "key": "three-digit-934-9♠4♣5♣2♠6♣Q♠"} {"id": "train-three-digit-0226", "level": "three-digit", "target": 692, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "8 * 8 * (3 + 8) - 7 - 5", "solution_steps": ["3 + 8 = 11", "8 × 11 = 88", "8 × 88 = 704", "704 − 7 = 697", "697 − 5 = 692"], "key": "three-digit-692-8♣3♠7♣5♠8♠8♥"} {"id": "train-three-digit-0227", "level": "three-digit", "target": 345, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "5 * (10 + 8 * (4 + 12)) / 2", "solution_steps": ["4 + 12 = 16", "8 × 16 = 128", "10 + 128 = 138", "5 × 138 = 690", "690 ÷ 2 = 345"], "key": "three-digit-345-4♠2♥Q♦8♣5♥10♥"} {"id": "train-three-digit-0228", "level": "three-digit", "target": 274, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "11 + 11 + 6 * 7 * (1 + 5)", "solution_steps": ["1 + 5 = 6", "7 × 6 = 42", "6 × 42 = 252", "11 + 252 = 263", "11 + 263 = 274"], "key": "three-digit-274-6♣J♥A♦7♣5♥J♠"} {"id": "train-three-digit-0229", "level": "three-digit", "target": 548, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "3 * (9 * (9 + 12) - 6) - 1", "solution_steps": ["9 + 12 = 21", "9 × 21 = 189", "189 − 6 = 183", "3 × 183 = 549", "549 − 1 = 548"], "key": "three-digit-548-3♦Q♠A♠9♠6♠9♦"} {"id": "train-three-digit-0230", "level": "three-digit", "target": 843, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "12 / 4 + 6 * 7 * (8 + 12)", "solution_steps": ["12 ÷ 4 = 3", "8 + 12 = 20", "7 × 20 = 140", "6 × 140 = 840", "3 + 840 = 843"], "key": "three-digit-843-7♣8♠Q♣Q♥6♠4♣"} {"id": "train-three-digit-0231", "level": "three-digit", "target": 326, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 7 + 3 * (6 + 10 * 10)", "solution_steps": ["10 × 10 = 100", "6 + 100 = 106", "3 × 106 = 318", "7 + 318 = 325", "1 + 325 = 326"], "key": "three-digit-326-A♠10♠3♠10♥6♠7♥"} {"id": "train-three-digit-0232", "level": "three-digit", "target": 704, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "8 * 12 * (3 + 9 + 10) / 3", "solution_steps": ["9 + 10 = 19", "3 + 19 = 22", "12 × 22 = 264", "8 × 264 = 2112", "2112 ÷ 3 = 704"], "key": "three-digit-704-8♥9♣10♦Q♦3♦3♣"} {"id": "train-three-digit-0233", "level": "three-digit", "target": 903, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 9 * (13 + 8 * 11) - 7", "solution_steps": ["8 × 11 = 88", "13 + 88 = 101", "9 × 101 = 909", "909 − 7 = 902", "1 + 902 = 903"], "key": "three-digit-903-J♦9♦K♠7♥8♦A♥"} {"id": "train-three-digit-0234", "level": "three-digit", "target": 594, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "10 * (8 * 9 - 11) - 9 - 7", "solution_steps": ["8 × 9 = 72", "72 − 11 = 61", "10 × 61 = 610", "610 − 9 = 601", "601 − 7 = 594"], "key": "three-digit-594-8♣9♥9♠J♥10♥7♦"} {"id": "train-three-digit-0235", "level": "three-digit", "target": 672, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 * 4 * 12 * (2 + 5 + 7)", "solution_steps": ["5 + 7 = 12", "2 + 12 = 14", "12 × 14 = 168", "4 × 168 = 672", "1 × 672 = 672"], "key": "three-digit-672-Q♦2♥A♣5♥4♣7♦"} {"id": "train-three-digit-0236", "level": "three-digit", "target": 231, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 2 * 13 * (2 + 7) - 4", "solution_steps": ["2 + 7 = 9", "13 × 9 = 117", "2 × 117 = 234", "234 − 4 = 230", "1 + 230 = 231"], "key": "three-digit-231-7♦2♠A♦2♦4♣K♦"} {"id": "train-three-digit-0237", "level": "three-digit", "target": 289, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "6 * (9 + 5 * 8) - 3 - 2", "solution_steps": ["5 × 8 = 40", "9 + 40 = 49", "6 × 49 = 294", "294 − 3 = 291", "291 − 2 = 289"], "key": "three-digit-289-3♠9♦6♥5♥8♠2♣"} {"id": "train-three-digit-0238", "level": "three-digit", "target": 820, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 * (11 + 3 * 8 * 11) - 5", "solution_steps": ["8 × 11 = 88", "3 × 88 = 264", "11 + 264 = 275", "3 × 275 = 825", "825 − 5 = 820"], "key": "three-digit-820-3♦J♣J♥8♦5♦3♥"} {"id": "train-three-digit-0239", "level": "three-digit", "target": 821, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "12 / 6 + 7 * (9 + 9 * 12)", "solution_steps": ["12 ÷ 6 = 2", "9 × 12 = 108", "9 + 108 = 117", "7 × 117 = 819", "2 + 819 = 821"], "key": "three-digit-821-7♦9♦Q♥Q♣6♥9♣"} {"id": "train-three-digit-0240", "level": "three-digit", "target": 511, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "7 + 3 * (8 + 4 * 5 * 8)", "solution_steps": ["5 × 8 = 40", "4 × 40 = 160", "8 + 160 = 168", "3 × 168 = 504", "7 + 504 = 511"], "key": "three-digit-511-7♣3♠4♥5♦8♥8♣"} {"id": "train-three-digit-0241", "level": "three-digit", "target": 798, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 * 7 * (8 * (7 - 1) - 10)", "solution_steps": ["7 − 1 = 6", "8 × 6 = 48", "48 − 10 = 38", "7 × 38 = 266", "3 × 266 = 798"], "key": "three-digit-798-A♥8♣3♦10♥7♣7♥"} {"id": "train-three-digit-0242", "level": "three-digit", "target": 565, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "10 + 6 * (8 * 13 - 11) - 3", "solution_steps": ["8 × 13 = 104", "104 − 11 = 93", "6 × 93 = 558", "10 + 558 = 568", "568 − 3 = 565"], "key": "three-digit-565-J♥6♠10♣K♣8♣3♣"} {"id": "train-three-digit-0243", "level": "three-digit", "target": 312, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 * 9 * 12 - 2 * 5 - 2", "solution_steps": ["9 × 12 = 108", "3 × 108 = 324", "2 × 5 = 10", "324 − 10 = 314", "314 − 2 = 312"], "key": "three-digit-312-2♥Q♣2♦3♣9♣5♣"} {"id": "train-three-digit-0244", "level": "three-digit", "target": 361, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "5 + 2 * (2 + 11 * (6 + 10))", "solution_steps": ["6 + 10 = 16", "11 × 16 = 176", "2 + 176 = 178", "2 × 178 = 356", "5 + 356 = 361"], "key": "three-digit-361-2♣J♥6♣2♠5♥10♦"} {"id": "train-three-digit-0245", "level": "three-digit", "target": 162, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "3 + 13 * (2 + 11) - 9 - 1", "solution_steps": ["2 + 11 = 13", "13 × 13 = 169", "169 − 9 = 160", "3 + 160 = 163", "163 − 1 = 162"], "key": "three-digit-162-9♥J♥A♦3♠2♦K♦"} {"id": "train-three-digit-0246", "level": "three-digit", "target": 637, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 4 * 10 * (7 + 9) - 5", "solution_steps": ["7 + 9 = 16", "10 × 16 = 160", "4 × 160 = 640", "640 − 5 = 635", "2 + 635 = 637"], "key": "three-digit-637-4♣7♥2♥9♥10♣5♦"} {"id": "train-three-digit-0247", "level": "three-digit", "target": 211, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "6 + 9 + 12 + 8 * (11 + 12)", "solution_steps": ["11 + 12 = 23", "8 × 23 = 184", "12 + 184 = 196", "9 + 196 = 205", "6 + 205 = 211"], "key": "three-digit-211-8♣Q♣9♣J♣Q♠6♦"} {"id": "train-three-digit-0248", "level": "three-digit", "target": 204, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "5 + 11 * (6 + 13) - 7 - 3", "solution_steps": ["6 + 13 = 19", "11 × 19 = 209", "209 − 7 = 202", "5 + 202 = 207", "207 − 3 = 204"], "key": "three-digit-204-J♥K♠5♥6♦3♠7♣"} {"id": "train-three-digit-0249", "level": "three-digit", "target": 234, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 3 * (9 + 6 * 12) - 10", "solution_steps": ["6 × 12 = 72", "9 + 72 = 81", "3 × 81 = 243", "243 − 10 = 233", "1 + 233 = 234"], "key": "three-digit-234-9♥A♦3♦6♥Q♣10♠"} {"id": "train-three-digit-0250", "level": "three-digit", "target": 421, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "11 * (10 + 3 * 10) - 12 - 7", "solution_steps": ["3 × 10 = 30", "10 + 30 = 40", "11 × 40 = 440", "440 − 12 = 428", "428 − 7 = 421"], "key": "three-digit-421-10♠3♣Q♠7♣J♠10♥"} {"id": "train-three-digit-0251", "level": "three-digit", "target": 387, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "3 + 9 * (4 * 12 - 5) - 3", "solution_steps": ["4 × 12 = 48", "48 − 5 = 43", "9 × 43 = 387", "387 − 3 = 384", "3 + 384 = 387"], "key": "three-digit-387-4♠5♣3♥9♥3♠Q♠"} {"id": "train-three-digit-0252", "level": "three-digit", "target": 155, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 7 + 13 + 11 * 13 - 10", "solution_steps": ["11 × 13 = 143", "13 + 143 = 156", "156 − 10 = 146", "7 + 146 = 153", "2 + 153 = 155"], "key": "three-digit-155-2♦K♣K♠10♠J♥7♦"} {"id": "train-three-digit-0253", "level": "three-digit", "target": 222, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "3 + 13 * (5 + 13) - 8 - 7", "solution_steps": ["5 + 13 = 18", "13 × 18 = 234", "234 − 8 = 226", "226 − 7 = 219", "3 + 219 = 222"], "key": "three-digit-222-8♠5♥3♦7♦K♥K♦"} {"id": "train-three-digit-0254", "level": "three-digit", "target": 361, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 12 * (11 + 13 + 12 / 2)", "solution_steps": ["12 ÷ 2 = 6", "13 + 6 = 19", "11 + 19 = 30", "12 × 30 = 360", "1 + 360 = 361"], "key": "three-digit-361-2♠K♥Q♥Q♠J♣A♠"} {"id": "train-three-digit-0255", "level": "three-digit", "target": 853, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "8 * 9 + 11 * (8 * 10 - 9)", "solution_steps": ["8 × 9 = 72", "8 × 10 = 80", "80 − 9 = 71", "11 × 71 = 781", "72 + 781 = 853"], "key": "three-digit-853-J♥8♠10♣8♥9♥9♠"} {"id": "train-three-digit-0256", "level": "three-digit", "target": 795, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 * (5 + 6 * 11 * 12 - 2)", "solution_steps": ["11 × 12 = 132", "6 × 132 = 792", "5 + 792 = 797", "797 − 2 = 795", "1 × 795 = 795"], "key": "three-digit-795-Q♦5♣J♦A♣2♥6♥"} {"id": "train-three-digit-0257", "level": "three-digit", "target": 200, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 3 * (7 * 12 - 13 - 5)", "solution_steps": ["7 × 12 = 84", "84 − 13 = 71", "71 − 5 = 66", "3 × 66 = 198", "2 + 198 = 200"], "key": "three-digit-200-K♠7♣3♥2♥5♦Q♦"} {"id": "train-three-digit-0258", "level": "three-digit", "target": 890, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + 12 * (11 + 8 * 8) - 13", "solution_steps": ["8 × 8 = 64", "11 + 64 = 75", "12 × 75 = 900", "900 − 13 = 887", "3 + 887 = 890"], "key": "three-digit-890-J♦8♥8♠3♠K♣Q♣"} {"id": "train-three-digit-0259", "level": "three-digit", "target": 628, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "4 + 3 * 8 * (6 + 7 + 13)", "solution_steps": ["7 + 13 = 20", "6 + 20 = 26", "8 × 26 = 208", "3 × 208 = 624", "4 + 624 = 628"], "key": "three-digit-628-3♣K♦6♠7♦4♦8♠"} {"id": "train-three-digit-0260", "level": "three-digit", "target": 343, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "7 * (1 + (1 + 3) * (1 + 11))", "solution_steps": ["1 + 3 = 4", "1 + 11 = 12", "4 × 12 = 48", "1 + 48 = 49", "7 × 49 = 343"], "key": "three-digit-343-A♥3♦7♥A♦J♥A♠"} {"id": "train-three-digit-0261", "level": "three-digit", "target": 333, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "(3 + 3 * 13 * (8 + 9)) / 2", "solution_steps": ["8 + 9 = 17", "13 × 17 = 221", "3 × 221 = 663", "3 + 663 = 666", "666 ÷ 2 = 333"], "key": "three-digit-333-8♠9♥K♥3♥3♣2♦"} {"id": "train-three-digit-0262", "level": "three-digit", "target": 349, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 * (12 + 9 * 12 - 3) - 2", "solution_steps": ["9 × 12 = 108", "12 + 108 = 120", "120 − 3 = 117", "3 × 117 = 351", "351 − 2 = 349"], "key": "three-digit-349-9♥Q♦3♥Q♥2♣3♠"} {"id": "train-three-digit-0263", "level": "three-digit", "target": 632, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "12 + 5 * (5 + 7 * (7 + 10))", "solution_steps": ["7 + 10 = 17", "7 × 17 = 119", "5 + 119 = 124", "5 × 124 = 620", "12 + 620 = 632"], "key": "three-digit-632-Q♣10♦7♥5♥5♦7♣"} {"id": "train-three-digit-0264", "level": "three-digit", "target": 590, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 * 2 * (12 * (12 + 13) - 5)", "solution_steps": ["12 + 13 = 25", "12 × 25 = 300", "300 − 5 = 295", "2 × 295 = 590", "1 × 590 = 590"], "key": "three-digit-590-2♥K♦A♣Q♠Q♣5♦"} {"id": "train-three-digit-0265", "level": "three-digit", "target": 661, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "4 + 9 + 3 * 12 * (7 + 11)", "solution_steps": ["7 + 11 = 18", "12 × 18 = 216", "3 × 216 = 648", "9 + 648 = 657", "4 + 657 = 661"], "key": "three-digit-661-Q♥J♠7♠4♥9♣3♦"} {"id": "train-three-digit-0266", "level": "three-digit", "target": 999, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "(4 * 7 - 1) * (1 + 6 * 6)", "solution_steps": ["4 × 7 = 28", "28 − 1 = 27", "6 × 6 = 36", "1 + 36 = 37", "27 × 37 = 999"], "key": "three-digit-999-6♠7♥4♦A♥6♣A♠"} {"id": "train-three-digit-0267", "level": "three-digit", "target": 169, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 2 * 6 * (12 + 13 - 11)", "solution_steps": ["12 + 13 = 25", "25 − 11 = 14", "6 × 14 = 84", "2 × 84 = 168", "1 + 168 = 169"], "key": "three-digit-169-6♠K♣Q♠J♥A♠2♦"} {"id": "train-three-digit-0268", "level": "three-digit", "target": 520, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "4 + 6 * (7 + 8 * 10) - 6", "solution_steps": ["8 × 10 = 80", "7 + 80 = 87", "6 × 87 = 522", "522 − 6 = 516", "4 + 516 = 520"], "key": "three-digit-520-7♦4♦6♥6♣10♥8♦"} {"id": "train-three-digit-0269", "level": "three-digit", "target": 477, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "7 * 7 * 11 - 7 * 8 - 6", "solution_steps": ["7 × 11 = 77", "7 × 77 = 539", "7 × 8 = 56", "539 − 56 = 483", "483 − 6 = 477"], "key": "three-digit-477-7♣J♠7♠7♦8♦6♦"} {"id": "train-three-digit-0270", "level": "three-digit", "target": 216, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 2 + 6 + 9 * (11 + 12)", "solution_steps": ["11 + 12 = 23", "9 × 23 = 207", "6 + 207 = 213", "2 + 213 = 215", "1 + 215 = 216"], "key": "three-digit-216-J♥6♥9♦A♥2♥Q♥"} {"id": "train-three-digit-0271", "level": "three-digit", "target": 466, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 5 + (9 + 11) * (10 + 13)", "solution_steps": ["9 + 11 = 20", "10 + 13 = 23", "20 × 23 = 460", "5 + 460 = 465", "1 + 465 = 466"], "key": "three-digit-466-9♥K♦A♣10♦J♦5♥"} {"id": "train-three-digit-0272", "level": "three-digit", "target": 390, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 * 10 * (7 * 8 - 11 - 6)", "solution_steps": ["7 × 8 = 56", "56 − 11 = 45", "45 − 6 = 39", "10 × 39 = 390", "1 × 390 = 390"], "key": "three-digit-390-10♣6♠A♣7♣J♥8♠"} {"id": "train-three-digit-0273", "level": "three-digit", "target": 474, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "9 * (8 + 9 + 4 * 9) - 3", "solution_steps": ["4 × 9 = 36", "9 + 36 = 45", "8 + 45 = 53", "9 × 53 = 477", "477 − 3 = 474"], "key": "three-digit-474-4♣9♦3♣8♥9♠9♥"} {"id": "train-three-digit-0274", "level": "three-digit", "target": 790, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "(9 - 2) * (11 * 11 - 8) - 1", "solution_steps": ["9 − 2 = 7", "11 × 11 = 121", "121 − 8 = 113", "7 × 113 = 791", "791 − 1 = 790"], "key": "three-digit-790-8♠9♥J♠A♦2♠J♥"} {"id": "train-three-digit-0275", "level": "three-digit", "target": 327, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 4 + 10 + 13 * (11 + 13)", "solution_steps": ["11 + 13 = 24", "13 × 24 = 312", "10 + 312 = 322", "4 + 322 = 326", "1 + 326 = 327"], "key": "three-digit-327-K♥A♠J♠4♣K♠10♣"} {"id": "train-three-digit-0276", "level": "three-digit", "target": 644, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 * (3 + 11 * (4 + 12 + 13))", "solution_steps": ["12 + 13 = 25", "4 + 25 = 29", "11 × 29 = 319", "3 + 319 = 322", "2 × 322 = 644"], "key": "three-digit-644-3♦J♥K♥4♥2♥Q♠"} {"id": "train-three-digit-0277", "level": "three-digit", "target": 908, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "4 * (7 * 11 * (11 - 8) - 4)", "solution_steps": ["11 − 8 = 3", "11 × 3 = 33", "7 × 33 = 231", "231 − 4 = 227", "4 × 227 = 908"], "key": "three-digit-908-7♣4♦J♠J♥8♣4♠"} {"id": "train-three-digit-0278", "level": "three-digit", "target": 129, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 12 * (8 + 13 - 10) - 5", "solution_steps": ["13 − 10 = 3", "8 + 3 = 11", "12 × 11 = 132", "132 − 5 = 127", "2 + 127 = 129"], "key": "three-digit-129-Q♥2♥8♥5♣K♥10♣"} {"id": "train-three-digit-0279", "level": "three-digit", "target": 143, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "5 + 6 * (9 + 13 + 12 / 12)", "solution_steps": ["12 ÷ 12 = 1", "13 + 1 = 14", "9 + 14 = 23", "6 × 23 = 138", "5 + 138 = 143"], "key": "three-digit-143-6♦9♦5♦K♠Q♣Q♠"} {"id": "train-three-digit-0280", "level": "three-digit", "target": 169, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "3 + 4 + 12 + 12 * 13 - 6", "solution_steps": ["12 × 13 = 156", "12 + 156 = 168", "168 − 6 = 162", "4 + 162 = 166", "3 + 166 = 169"], "key": "three-digit-169-3♣Q♠6♣Q♣4♥K♣"} {"id": "train-three-digit-0281", "level": "three-digit", "target": 613, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 6 * (7 + 9 * 11 - 4)", "solution_steps": ["9 × 11 = 99", "7 + 99 = 106", "106 − 4 = 102", "6 × 102 = 612", "1 + 612 = 613"], "key": "three-digit-613-9♠6♣A♣J♠4♣7♦"} {"id": "train-three-digit-0282", "level": "three-digit", "target": 990, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "6 * (10 * (9 + 9) - 8 - 7)", "solution_steps": ["9 + 9 = 18", "10 × 18 = 180", "180 − 8 = 172", "172 − 7 = 165", "6 × 165 = 990"], "key": "three-digit-990-8♥6♥10♦9♦9♠7♣"} {"id": "train-three-digit-0283", "level": "three-digit", "target": 594, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "7 * (5 + 8 + 8 * 9) - 1", "solution_steps": ["8 × 9 = 72", "8 + 72 = 80", "5 + 80 = 85", "7 × 85 = 595", "595 − 1 = 594"], "key": "three-digit-594-8♣A♣8♠9♠5♥7♥"} {"id": "train-three-digit-0284", "level": "three-digit", "target": 408, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 11 * (9 + 5 * 13) / 2", "solution_steps": ["5 × 13 = 65", "9 + 65 = 74", "11 × 74 = 814", "814 ÷ 2 = 407", "1 + 407 = 408"], "key": "three-digit-408-5♣K♠9♦A♣J♦2♥"} {"id": "train-three-digit-0285", "level": "three-digit", "target": 787, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "3 + 9 * (9 * 11 - 11) - 8", "solution_steps": ["9 × 11 = 99", "99 − 11 = 88", "9 × 88 = 792", "792 − 8 = 784", "3 + 784 = 787"], "key": "three-digit-787-3♦9♣8♥J♦9♠J♥"} {"id": "train-three-digit-0286", "level": "three-digit", "target": 605, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "11 + 3 * 3 * (7 * 10 - 4)", "solution_steps": ["7 × 10 = 70", "70 − 4 = 66", "3 × 66 = 198", "3 × 198 = 594", "11 + 594 = 605"], "key": "three-digit-605-3♦10♦J♠4♠3♣7♠"} {"id": "train-three-digit-0287", "level": "three-digit", "target": 182, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 7 + 3 * 6 + 12 * 13", "solution_steps": ["3 × 6 = 18", "12 × 13 = 156", "18 + 156 = 174", "7 + 174 = 181", "1 + 181 = 182"], "key": "three-digit-182-A♣K♣3♠Q♦6♣7♦"} {"id": "train-three-digit-0288", "level": "three-digit", "target": 845, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "5 + 5 * 12 * (10 + 8 / 2)", "solution_steps": ["8 ÷ 2 = 4", "10 + 4 = 14", "12 × 14 = 168", "5 × 168 = 840", "5 + 840 = 845"], "key": "three-digit-845-10♠5♥5♠Q♠8♦2♠"} {"id": "train-three-digit-0289", "level": "three-digit", "target": 116, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 * 6 * (4 + 6) - 3 - 1", "solution_steps": ["4 + 6 = 10", "6 × 10 = 60", "2 × 60 = 120", "120 − 3 = 117", "117 − 1 = 116"], "key": "three-digit-116-A♣2♥3♦6♠6♣4♦"} {"id": "train-three-digit-0290", "level": "three-digit", "target": 645, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "3 * (2 + 8 * 12 + 9 * 13)", "solution_steps": ["8 × 12 = 96", "9 × 13 = 117", "96 + 117 = 213", "2 + 213 = 215", "3 × 215 = 645"], "key": "three-digit-645-3♥Q♠K♠8♥2♣9♥"} {"id": "train-three-digit-0291", "level": "three-digit", "target": 717, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "11 + 9 * (9 * 9 - 2) - 5", "solution_steps": ["9 × 9 = 81", "81 − 2 = 79", "9 × 79 = 711", "11 + 711 = 722", "722 − 5 = 717"], "key": "three-digit-717-2♠9♠9♥J♥5♠9♣"} {"id": "train-three-digit-0292", "level": "three-digit", "target": 123, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 8 + 8 * (4 + 11) - 6", "solution_steps": ["4 + 11 = 15", "8 × 15 = 120", "8 + 120 = 128", "128 − 6 = 122", "1 + 122 = 123"], "key": "three-digit-123-A♣8♣8♠4♠J♠6♣"} {"id": "train-three-digit-0293", "level": "three-digit", "target": 399, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 6 + 4 * 7 * (5 + 9)", "solution_steps": ["5 + 9 = 14", "7 × 14 = 98", "4 × 98 = 392", "6 + 392 = 398", "1 + 398 = 399"], "key": "three-digit-399-4♣5♥7♥9♣6♠A♥"} {"id": "train-three-digit-0294", "level": "three-digit", "target": 550, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 13 * (4 * 12 - 5) - 10", "solution_steps": ["4 × 12 = 48", "48 − 5 = 43", "13 × 43 = 559", "559 − 10 = 549", "1 + 549 = 550"], "key": "three-digit-550-K♦Q♣5♥10♦A♠4♠"} {"id": "train-three-digit-0295", "level": "three-digit", "target": 849, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "6 * (6 / 4 + 2 * 7 * 10)", "solution_steps": ["6 ÷ 4 = 3/2", "7 × 10 = 70", "2 × 70 = 140", "3/2 + 140 = 283/2", "6 × 283/2 = 849"], "key": "three-digit-849-6♥2♥7♥6♠4♣10♦"} {"id": "train-three-digit-0296", "level": "three-digit", "target": 595, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 6 * 9 * (10 + 13 - 12)", "solution_steps": ["13 − 12 = 1", "10 + 1 = 11", "9 × 11 = 99", "6 × 99 = 594", "1 + 594 = 595"], "key": "three-digit-595-A♣K♦10♠Q♥6♣9♦"} {"id": "train-three-digit-0297", "level": "three-digit", "target": 575, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "5 * (13 * (12 - 12 / 4) - 2)", "solution_steps": ["12 ÷ 4 = 3", "12 − 3 = 9", "13 × 9 = 117", "117 − 2 = 115", "5 × 115 = 575"], "key": "three-digit-575-Q♥Q♣4♦K♠2♥5♥"} {"id": "train-three-digit-0298", "level": "three-digit", "target": 377, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "9 + 6 * 7 * 9 - 7 - 3", "solution_steps": ["7 × 9 = 63", "6 × 63 = 378", "9 + 378 = 387", "387 − 7 = 380", "380 − 3 = 377"], "key": "three-digit-377-9♣7♦3♥9♠6♣7♥"} {"id": "train-three-digit-0299", "level": "three-digit", "target": 505, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 2 * 7 * (3 + 3 * 11)", "solution_steps": ["3 × 11 = 33", "3 + 33 = 36", "7 × 36 = 252", "2 × 252 = 504", "1 + 504 = 505"], "key": "three-digit-505-3♠2♥7♠A♥3♦J♥"} {"id": "train-three-digit-0300", "level": "three-digit", "target": 572, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "13 + 7 * 10 * (2 + 6) - 1", "solution_steps": ["2 + 6 = 8", "10 × 8 = 80", "7 × 80 = 560", "13 + 560 = 573", "573 − 1 = 572"], "key": "three-digit-572-7♦10♥K♣6♦2♠A♣"} {"id": "train-three-digit-0301", "level": "three-digit", "target": 871, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 9 + 7 * (13 + 10 * 11)", "solution_steps": ["10 × 11 = 110", "13 + 110 = 123", "7 × 123 = 861", "9 + 861 = 870", "1 + 870 = 871"], "key": "three-digit-871-J♣9♣7♣10♥K♥A♥"} {"id": "train-three-digit-0302", "level": "three-digit", "target": 263, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "4 + 13 * (10 + 11) - 8 - 6", "solution_steps": ["10 + 11 = 21", "13 × 21 = 273", "273 − 8 = 265", "265 − 6 = 259", "4 + 259 = 263"], "key": "three-digit-263-10♥6♦8♣4♣K♥J♠"} {"id": "train-three-digit-0303", "level": "three-digit", "target": 637, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + (10 - 5) * (7 + 10 * 12)", "solution_steps": ["10 − 5 = 5", "10 × 12 = 120", "7 + 120 = 127", "5 × 127 = 635", "2 + 635 = 637"], "key": "three-digit-637-10♣10♠2♦Q♠5♦7♦"} {"id": "train-three-digit-0304", "level": "three-digit", "target": 314, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 10 + 13 + 3 * 8 * 12", "solution_steps": ["8 × 12 = 96", "3 × 96 = 288", "13 + 288 = 301", "10 + 301 = 311", "3 + 311 = 314"], "key": "three-digit-314-Q♣K♠3♣8♣3♥10♥"} {"id": "train-three-digit-0305", "level": "three-digit", "target": 684, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "4 + 10 * (5 * (2 + 13) - 7)", "solution_steps": ["2 + 13 = 15", "5 × 15 = 75", "75 − 7 = 68", "10 × 68 = 680", "4 + 680 = 684"], "key": "three-digit-684-K♣7♠4♥5♥10♥2♣"} {"id": "train-three-digit-0306", "level": "three-digit", "target": 224, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 * (12 * 12 + 5 * (6 + 10))", "solution_steps": ["12 × 12 = 144", "6 + 10 = 16", "5 × 16 = 80", "144 + 80 = 224", "1 × 224 = 224"], "key": "three-digit-224-5♦6♥Q♥Q♦10♣A♥"} {"id": "train-three-digit-0307", "level": "three-digit", "target": 423, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 * 4 * (7 * 9 - 10) - 1", "solution_steps": ["7 × 9 = 63", "63 − 10 = 53", "4 × 53 = 212", "2 × 212 = 424", "424 − 1 = 423"], "key": "three-digit-423-2♦A♠7♥4♥9♠10♦"} {"id": "train-three-digit-0308", "level": "three-digit", "target": 665, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "(9 * (6 + 11 * 13) - 11) / 2", "solution_steps": ["11 × 13 = 143", "6 + 143 = 149", "9 × 149 = 1341", "1341 − 11 = 1330", "1330 ÷ 2 = 665"], "key": "three-digit-665-K♦J♦2♣9♠6♣J♠"} {"id": "train-three-digit-0309", "level": "three-digit", "target": 399, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 7 + 5 * 13 * (10 - 4)", "solution_steps": ["10 − 4 = 6", "13 × 6 = 78", "5 × 78 = 390", "7 + 390 = 397", "2 + 397 = 399"], "key": "three-digit-399-5♣7♠K♣2♦4♦10♣"} {"id": "train-three-digit-0310", "level": "three-digit", "target": 954, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 + 7 + 7 * (5 + 10 * 13)", "solution_steps": ["10 × 13 = 130", "5 + 130 = 135", "7 × 135 = 945", "7 + 945 = 952", "2 + 952 = 954"], "key": "three-digit-954-5♣7♣2♦K♠7♠10♠"} {"id": "train-three-digit-0311", "level": "three-digit", "target": 521, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "(7 * 10 * (3 + 12) - 8) / 2", "solution_steps": ["3 + 12 = 15", "10 × 15 = 150", "7 × 150 = 1050", "1050 − 8 = 1042", "1042 ÷ 2 = 521"], "key": "three-digit-521-Q♠7♦10♠8♥2♥3♣"} {"id": "train-three-digit-0312", "level": "three-digit", "target": 987, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "5 + 12 * (12 + 7 * 10) - 2", "solution_steps": ["7 × 10 = 70", "12 + 70 = 82", "12 × 82 = 984", "5 + 984 = 989", "989 − 2 = 987"], "key": "three-digit-987-2♦Q♥5♥10♠7♠Q♠"} {"id": "train-three-digit-0313", "level": "three-digit", "target": 839, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "9 + 5 * (11 + 12 + 11 * 13)", "solution_steps": ["11 × 13 = 143", "12 + 143 = 155", "11 + 155 = 166", "5 × 166 = 830", "9 + 830 = 839"], "key": "three-digit-839-J♦K♠J♠5♦Q♦9♦"} {"id": "train-three-digit-0314", "level": "three-digit", "target": 297, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 3 / 3 + 6 * 7 * 7", "solution_steps": ["3 ÷ 3 = 1", "7 × 7 = 49", "6 × 49 = 294", "1 + 294 = 295", "2 + 295 = 297"], "key": "three-digit-297-3♦3♣7♦6♦7♠2♠"} {"id": "train-three-digit-0315", "level": "three-digit", "target": 992, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "7 * 11 * 13 - 3 - 3 - 3", "solution_steps": ["11 × 13 = 143", "7 × 143 = 1001", "1001 − 3 = 998", "998 − 3 = 995", "995 − 3 = 992"], "key": "three-digit-992-K♠3♦3♠3♣J♦7♠"} {"id": "train-three-digit-0316", "level": "three-digit", "target": 650, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "2 + (1 + 11) * (7 * 8 - 2)", "solution_steps": ["1 + 11 = 12", "7 × 8 = 56", "56 − 2 = 54", "12 × 54 = 648", "2 + 648 = 650"], "key": "three-digit-650-2♦A♥J♣7♥2♣8♣"} {"id": "train-three-digit-0317", "level": "three-digit", "target": 708, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "12 * (11 + 10 * 11 - 3) / 2", "solution_steps": ["10 × 11 = 110", "11 + 110 = 121", "121 − 3 = 118", "12 × 118 = 1416", "1416 ÷ 2 = 708"], "key": "three-digit-708-2♥J♦Q♠3♣10♥J♥"} {"id": "train-three-digit-0318", "level": "three-digit", "target": 206, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 + 5 + 11 * (5 + 6 + 7)", "solution_steps": ["6 + 7 = 13", "5 + 13 = 18", "11 × 18 = 198", "5 + 198 = 203", "3 + 203 = 206"], "key": "three-digit-206-5♦5♠3♣J♠6♣7♥"} {"id": "train-three-digit-0319", "level": "three-digit", "target": 257, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "4 + 4 * (10 + 7 * 8) - 11", "solution_steps": ["7 × 8 = 56", "10 + 56 = 66", "4 × 66 = 264", "264 − 11 = 253", "4 + 253 = 257"], "key": "three-digit-257-4♥10♦8♣7♠4♠J♦"} {"id": "train-three-digit-0320", "level": "three-digit", "target": 991, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 3 * 11 * (2 + 4 * 7)", "solution_steps": ["4 × 7 = 28", "2 + 28 = 30", "11 × 30 = 330", "3 × 330 = 990", "1 + 990 = 991"], "key": "three-digit-991-A♠7♥4♦2♥J♥3♥"} {"id": "train-three-digit-0321", "level": "three-digit", "target": 907, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "7 + 6 * (9 * (8 + 9) - 3)", "solution_steps": ["8 + 9 = 17", "9 × 17 = 153", "153 − 3 = 150", "6 × 150 = 900", "7 + 900 = 907"], "key": "three-digit-907-8♠9♥9♣7♠3♦6♣"} {"id": "train-three-digit-0322", "level": "three-digit", "target": 602, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 2 * 3 * 10 * (11 - 1)", "solution_steps": ["11 − 1 = 10", "10 × 10 = 100", "3 × 100 = 300", "2 × 300 = 600", "2 + 600 = 602"], "key": "three-digit-602-J♣2♠2♥A♥10♥3♠"} {"id": "train-three-digit-0323", "level": "three-digit", "target": 420, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 * 10 * (3 + 13 * (12 - 9))", "solution_steps": ["12 − 9 = 3", "13 × 3 = 39", "3 + 39 = 42", "10 × 42 = 420", "1 × 420 = 420"], "key": "three-digit-420-10♣Q♥A♦3♣9♦K♥"} {"id": "train-three-digit-0324", "level": "three-digit", "target": 329, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "7 * ((1 + 3) * (5 + 7) - 1)", "solution_steps": ["1 + 3 = 4", "5 + 7 = 12", "4 × 12 = 48", "48 − 1 = 47", "7 × 47 = 329"], "key": "three-digit-329-7♥A♦5♠A♣7♦3♦"} {"id": "train-three-digit-0325", "level": "three-digit", "target": 793, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 11 + 5 * 12 * (5 + 8)", "solution_steps": ["5 + 8 = 13", "12 × 13 = 156", "5 × 156 = 780", "11 + 780 = 791", "2 + 791 = 793"], "key": "three-digit-793-2♦Q♦J♣8♦5♦5♥"} {"id": "train-three-digit-0326", "level": "three-digit", "target": 282, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "(10 - 4) * (4 * (13 - 1) - 1)", "solution_steps": ["10 − 4 = 6", "13 − 1 = 12", "4 × 12 = 48", "48 − 1 = 47", "6 × 47 = 282"], "key": "three-digit-282-A♦K♣A♥4♣4♠10♦"} {"id": "train-three-digit-0327", "level": "three-digit", "target": 320, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "11 + 4 * (8 + 7 * 10) - 3", "solution_steps": ["7 × 10 = 70", "8 + 70 = 78", "4 × 78 = 312", "11 + 312 = 323", "323 − 3 = 320"], "key": "three-digit-320-4♦J♦3♥10♦7♦8♠"} {"id": "train-three-digit-0328", "level": "three-digit", "target": 181, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 2 * 10 * (4 * 5 - 11)", "solution_steps": ["4 × 5 = 20", "20 − 11 = 9", "10 × 9 = 90", "2 × 90 = 180", "1 + 180 = 181"], "key": "three-digit-181-5♣J♥2♦A♠10♣4♥"} {"id": "train-three-digit-0329", "level": "three-digit", "target": 742, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "(13 - 5) * (9 * 11 - 6) - 2", "solution_steps": ["13 − 5 = 8", "9 × 11 = 99", "99 − 6 = 93", "8 × 93 = 744", "744 − 2 = 742"], "key": "three-digit-742-6♦2♣J♠K♠5♦9♠"} {"id": "train-three-digit-0330", "level": "three-digit", "target": 995, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "10 * 10 * (13 - 3) - 4 - 1", "solution_steps": ["13 − 3 = 10", "10 × 10 = 100", "10 × 100 = 1000", "1000 − 4 = 996", "996 − 1 = 995"], "key": "three-digit-995-10♠3♣K♥4♣A♠10♣"} {"id": "train-three-digit-0331", "level": "three-digit", "target": 403, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 2 * (8 + 12 * (8 + 8))", "solution_steps": ["8 + 8 = 16", "12 × 16 = 192", "8 + 192 = 200", "2 × 200 = 400", "3 + 400 = 403"], "key": "three-digit-403-2♠Q♥3♦8♣8♥8♦"} {"id": "train-three-digit-0332", "level": "three-digit", "target": 711, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "5 * (2 + 9) * (4 + 9) - 4", "solution_steps": ["2 + 9 = 11", "4 + 9 = 13", "11 × 13 = 143", "5 × 143 = 715", "715 − 4 = 711"], "key": "three-digit-711-2♥9♥5♠9♠4♠4♣"} {"id": "train-three-digit-0333", "level": "three-digit", "target": 180, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 + 7 * 9 + 6 * (6 + 13)", "solution_steps": ["7 × 9 = 63", "6 + 13 = 19", "6 × 19 = 114", "63 + 114 = 177", "3 + 177 = 180"], "key": "three-digit-180-6♥3♠K♣7♥9♦6♣"} {"id": "train-three-digit-0334", "level": "three-digit", "target": 927, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "5 * 11 * (3 + 6 + 8) - 8", "solution_steps": ["6 + 8 = 14", "3 + 14 = 17", "11 × 17 = 187", "5 × 187 = 935", "935 − 8 = 927"], "key": "three-digit-927-J♠8♠6♠8♣3♣5♠"} {"id": "train-three-digit-0335", "level": "three-digit", "target": 406, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "12 * (7 * 8 - 11 - 11) - 2", "solution_steps": ["7 × 8 = 56", "56 − 11 = 45", "45 − 11 = 34", "12 × 34 = 408", "408 − 2 = 406"], "key": "three-digit-406-2♠J♣8♣J♥7♣Q♠"} {"id": "train-three-digit-0336", "level": "three-digit", "target": 730, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 9 * (7 * 13 - 8 - 2)", "solution_steps": ["7 × 13 = 91", "91 − 8 = 83", "83 − 2 = 81", "9 × 81 = 729", "1 + 729 = 730"], "key": "three-digit-730-K♥2♣7♦9♣A♦8♠"} {"id": "train-three-digit-0337", "level": "three-digit", "target": 220, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + (4 + 12) * (6 + 8) - 7", "solution_steps": ["4 + 12 = 16", "6 + 8 = 14", "16 × 14 = 224", "224 − 7 = 217", "3 + 217 = 220"], "key": "three-digit-220-8♦4♦7♥6♦3♦Q♥"} {"id": "train-three-digit-0338", "level": "three-digit", "target": 209, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 2 + 5 + 8 * (12 + 13)", "solution_steps": ["12 + 13 = 25", "8 × 25 = 200", "5 + 200 = 205", "2 + 205 = 207", "2 + 207 = 209"], "key": "three-digit-209-2♦2♥Q♥K♠8♥5♦"} {"id": "train-three-digit-0339", "level": "three-digit", "target": 761, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "5 + 12 * (10 - 7) * (8 + 13)", "solution_steps": ["10 − 7 = 3", "8 + 13 = 21", "3 × 21 = 63", "12 × 63 = 756", "5 + 756 = 761"], "key": "three-digit-761-7♣Q♥K♥8♦10♦5♥"} {"id": "train-three-digit-0340", "level": "three-digit", "target": 954, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "10 + (3 + 13) * (5 * 12 - 1)", "solution_steps": ["3 + 13 = 16", "5 × 12 = 60", "60 − 1 = 59", "16 × 59 = 944", "10 + 944 = 954"], "key": "three-digit-954-K♠10♠3♦Q♥A♣5♥"} {"id": "train-three-digit-0341", "level": "three-digit", "target": 470, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 13 * (8 + 10) * (13 - 11)", "solution_steps": ["8 + 10 = 18", "13 − 11 = 2", "18 × 2 = 36", "13 × 36 = 468", "2 + 468 = 470"], "key": "three-digit-470-10♠K♦8♦J♠2♦K♣"} {"id": "train-three-digit-0342", "level": "three-digit", "target": 379, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 3 * (8 * (6 + 10) - 2)", "solution_steps": ["6 + 10 = 16", "8 × 16 = 128", "128 − 2 = 126", "3 × 126 = 378", "1 + 378 = 379"], "key": "three-digit-379-3♥8♠10♦2♠A♦6♠"} {"id": "train-three-digit-0343", "level": "three-digit", "target": 134, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + 4 * 12 + 7 * 12 - 1", "solution_steps": ["4 × 12 = 48", "7 × 12 = 84", "48 + 84 = 132", "3 + 132 = 135", "135 − 1 = 134"], "key": "three-digit-134-A♣3♦4♣7♥Q♦Q♣"} {"id": "train-three-digit-0344", "level": "three-digit", "target": 827, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "13 + 7 * (7 + 10 * 11) - 5", "solution_steps": ["10 × 11 = 110", "7 + 110 = 117", "7 × 117 = 819", "13 + 819 = 832", "832 − 5 = 827"], "key": "three-digit-827-10♣5♠7♠J♣K♥7♥"} {"id": "train-three-digit-0345", "level": "three-digit", "target": 618, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 7 * 11 * (5 + 12 - 9)", "solution_steps": ["12 − 9 = 3", "5 + 3 = 8", "11 × 8 = 88", "7 × 88 = 616", "2 + 616 = 618"], "key": "three-digit-618-7♣2♠Q♥J♥9♠5♦"} {"id": "train-three-digit-0346", "level": "three-digit", "target": 190, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 10 * (2 * 13 - 7) - 2", "solution_steps": ["2 × 13 = 26", "26 − 7 = 19", "10 × 19 = 190", "190 − 2 = 188", "2 + 188 = 190"], "key": "three-digit-190-2♠K♣10♠7♦2♥2♣"} {"id": "train-three-digit-0347", "level": "three-digit", "target": 183, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "6 * (10 + 13 * (5 + 13)) / 8", "solution_steps": ["5 + 13 = 18", "13 × 18 = 234", "10 + 234 = 244", "6 × 244 = 1464", "1464 ÷ 8 = 183"], "key": "three-digit-183-6♠10♦K♠K♦8♦5♠"} {"id": "train-three-digit-0348", "level": "three-digit", "target": 240, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 * 4 * 12 * (3 + 6 / 3)", "solution_steps": ["6 ÷ 3 = 2", "3 + 2 = 5", "12 × 5 = 60", "4 × 60 = 240", "1 × 240 = 240"], "key": "three-digit-240-6♥A♦3♦4♥Q♦3♥"} {"id": "train-three-digit-0349", "level": "three-digit", "target": 420, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 + 9 * (11 + 4 * 9) - 7", "solution_steps": ["4 × 9 = 36", "11 + 36 = 47", "9 × 47 = 423", "423 − 7 = 416", "4 + 416 = 420"], "key": "three-digit-420-4♠J♦9♣7♠9♦4♣"} {"id": "train-three-digit-0350", "level": "three-digit", "target": 518, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "8 * 13 * (4 + 7 / 7) - 2", "solution_steps": ["7 ÷ 7 = 1", "4 + 1 = 5", "13 × 5 = 65", "8 × 65 = 520", "520 − 2 = 518"], "key": "three-digit-518-7♥K♦4♠8♠7♠2♦"} {"id": "train-three-digit-0351", "level": "three-digit", "target": 165, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 12 + 8 * (5 * 6 - 11)", "solution_steps": ["5 × 6 = 30", "30 − 11 = 19", "8 × 19 = 152", "12 + 152 = 164", "1 + 164 = 165"], "key": "three-digit-165-J♦6♣A♥Q♦8♣5♥"} {"id": "train-three-digit-0352", "level": "three-digit", "target": 793, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "6 / 2 + 6 * 11 * 12 - 2", "solution_steps": ["6 ÷ 2 = 3", "11 × 12 = 132", "6 × 132 = 792", "3 + 792 = 795", "795 − 2 = 793"], "key": "three-digit-793-6♦6♥Q♠J♦2♦2♠"} {"id": "train-three-digit-0353", "level": "three-digit", "target": 388, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "7 * 8 * (5 + 12 - 10) - 4", "solution_steps": ["12 − 10 = 2", "5 + 2 = 7", "8 × 7 = 56", "7 × 56 = 392", "392 − 4 = 388"], "key": "three-digit-388-4♦Q♦8♥7♥10♦5♥"} {"id": "train-three-digit-0354", "level": "three-digit", "target": 753, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "(6 + 6) * (7 + 7 * 8) - 3", "solution_steps": ["6 + 6 = 12", "7 × 8 = 56", "7 + 56 = 63", "12 × 63 = 756", "756 − 3 = 753"], "key": "three-digit-753-3♣7♦6♠7♠8♦6♦"} {"id": "train-three-digit-0355", "level": "three-digit", "target": 448, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 9 + 7 * 8 * 8 - 11", "solution_steps": ["8 × 8 = 64", "7 × 64 = 448", "448 − 11 = 437", "9 + 437 = 446", "2 + 446 = 448"], "key": "three-digit-448-2♥J♥8♠8♥7♦9♣"} {"id": "train-three-digit-0356", "level": "three-digit", "target": 398, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 * (7 * 8 + 7 * 11) - 1", "solution_steps": ["7 × 8 = 56", "7 × 11 = 77", "56 + 77 = 133", "3 × 133 = 399", "399 − 1 = 398"], "key": "three-digit-398-8♣7♥J♥3♥A♦7♦"} {"id": "train-three-digit-0357", "level": "three-digit", "target": 380, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "3 + 13 * (13 + 2 * (4 + 4))", "solution_steps": ["4 + 4 = 8", "2 × 8 = 16", "13 + 16 = 29", "13 × 29 = 377", "3 + 377 = 380"], "key": "three-digit-380-K♦K♣3♥2♦4♦4♥"} {"id": "train-three-digit-0358", "level": "three-digit", "target": 933, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 7 * (4 + 10 * 13) - 6", "solution_steps": ["10 × 13 = 130", "4 + 130 = 134", "7 × 134 = 938", "938 − 6 = 932", "1 + 932 = 933"], "key": "three-digit-933-K♣10♦A♠6♠4♥7♣"} {"id": "train-three-digit-0359", "level": "three-digit", "target": 279, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 * (13 * 13 + 11 * (4 + 6))", "solution_steps": ["13 × 13 = 169", "4 + 6 = 10", "11 × 10 = 110", "169 + 110 = 279", "1 × 279 = 279"], "key": "three-digit-279-J♥4♥6♣A♣K♠K♥"} {"id": "train-three-digit-0360", "level": "three-digit", "target": 573, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "3 * (7 + 4 * 7 * 7 - 12)", "solution_steps": ["7 × 7 = 49", "4 × 49 = 196", "196 − 12 = 184", "7 + 184 = 191", "3 × 191 = 573"], "key": "three-digit-573-Q♠7♣3♣7♠7♥4♣"} {"id": "train-three-digit-0361", "level": "three-digit", "target": 920, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 7 + 10 * (8 * 12 - 5)", "solution_steps": ["8 × 12 = 96", "96 − 5 = 91", "10 × 91 = 910", "7 + 910 = 917", "3 + 917 = 920"], "key": "three-digit-920-7♠Q♠5♦3♣10♣8♦"} {"id": "train-three-digit-0362", "level": "three-digit", "target": 803, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 + 5 * (1 + 13 * 13 - 10)", "solution_steps": ["13 × 13 = 169", "169 − 10 = 159", "1 + 159 = 160", "5 × 160 = 800", "3 + 800 = 803"], "key": "three-digit-803-A♦3♠K♠K♥10♣5♣"} {"id": "train-three-digit-0363", "level": "three-digit", "target": 535, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "6 + 4 * (11 * 13 - 10) - 3", "solution_steps": ["11 × 13 = 143", "143 − 10 = 133", "4 × 133 = 532", "6 + 532 = 538", "538 − 3 = 535"], "key": "three-digit-535-K♠J♥4♣6♣10♦3♣"} {"id": "train-three-digit-0364", "level": "three-digit", "target": 392, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "4 * (10 + 11 * (7 + 13 / 13))", "solution_steps": ["13 ÷ 13 = 1", "7 + 1 = 8", "11 × 8 = 88", "10 + 88 = 98", "4 × 98 = 392"], "key": "three-digit-392-K♥4♣J♦K♣7♦10♣"} {"id": "train-three-digit-0365", "level": "three-digit", "target": 292, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 * (9 + 7 * 12 - 10 - 10)", "solution_steps": ["7 × 12 = 84", "84 − 10 = 74", "74 − 10 = 64", "9 + 64 = 73", "4 × 73 = 292"], "key": "three-digit-292-Q♥10♠7♦9♥10♦4♦"} {"id": "train-three-digit-0366", "level": "three-digit", "target": 137, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "3 + 5 * 7 * (9 - 5) - 6", "solution_steps": ["9 − 5 = 4", "7 × 4 = 28", "5 × 28 = 140", "140 − 6 = 134", "3 + 134 = 137"], "key": "three-digit-137-6♠3♥5♣9♣5♠7♣"} {"id": "train-three-digit-0367", "level": "three-digit", "target": 671, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "4 + 12 * (11 + 5 * 9) - 5", "solution_steps": ["5 × 9 = 45", "11 + 45 = 56", "12 × 56 = 672", "672 − 5 = 667", "4 + 667 = 671"], "key": "three-digit-671-Q♠J♥5♥4♦5♦9♥"} {"id": "train-three-digit-0368", "level": "three-digit", "target": 419, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "4 + 12 + 13 * (9 + 11 + 11)", "solution_steps": ["11 + 11 = 22", "9 + 22 = 31", "13 × 31 = 403", "12 + 403 = 415", "4 + 415 = 419"], "key": "three-digit-419-K♦J♥Q♠9♦4♣J♣"} {"id": "train-three-digit-0369", "level": "three-digit", "target": 274, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "5 * 11 * 10 / (8 - 6) - 1", "solution_steps": ["8 − 6 = 2", "10 ÷ 2 = 5", "11 × 5 = 55", "5 × 55 = 275", "275 − 1 = 274"], "key": "three-digit-274-6♠10♠J♦8♦A♥5♦"} {"id": "train-three-digit-0370", "level": "three-digit", "target": 444, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "10 + 7 * (8 * 10 - 11 - 7)", "solution_steps": ["8 × 10 = 80", "80 − 11 = 69", "69 − 7 = 62", "7 × 62 = 434", "10 + 434 = 444"], "key": "three-digit-444-7♠8♦10♠J♣7♣10♦"} {"id": "train-three-digit-0371", "level": "three-digit", "target": 329, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "5 + 9 * (6 * 13 - 6 * 7)", "solution_steps": ["6 × 13 = 78", "6 × 7 = 42", "78 − 42 = 36", "9 × 36 = 324", "5 + 324 = 329"], "key": "three-digit-329-K♣9♥6♥7♥6♠5♥"} {"id": "train-three-digit-0372", "level": "three-digit", "target": 310, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "(4 * 12 * 13 - 2) / 2 - 1", "solution_steps": ["12 × 13 = 156", "4 × 156 = 624", "624 − 2 = 622", "622 ÷ 2 = 311", "311 − 1 = 310"], "key": "three-digit-310-K♥A♠2♦2♥Q♥4♦"} {"id": "train-three-digit-0373", "level": "three-digit", "target": 112, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 3 + 12 * (2 + 7) - 1", "solution_steps": ["2 + 7 = 9", "12 × 9 = 108", "3 + 108 = 111", "2 + 111 = 113", "113 − 1 = 112"], "key": "three-digit-112-3♦2♣Q♥A♠7♠2♥"} {"id": "train-three-digit-0374", "level": "three-digit", "target": 512, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 * (4 + 4 * 7 * (12 - 3))", "solution_steps": ["12 − 3 = 9", "7 × 9 = 63", "4 × 63 = 252", "4 + 252 = 256", "2 × 256 = 512"], "key": "three-digit-512-4♥3♥2♠Q♦7♠4♦"} {"id": "train-three-digit-0375", "level": "three-digit", "target": 826, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + (4 + 7) * (3 + 6 * 12)", "solution_steps": ["4 + 7 = 11", "6 × 12 = 72", "3 + 72 = 75", "11 × 75 = 825", "1 + 825 = 826"], "key": "three-digit-826-A♦Q♦4♣7♦6♠3♥"} {"id": "train-three-digit-0376", "level": "three-digit", "target": 559, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "(11 - 3) * (4 + 6 * 11) - 1", "solution_steps": ["11 − 3 = 8", "6 × 11 = 66", "4 + 66 = 70", "8 × 70 = 560", "560 − 1 = 559"], "key": "three-digit-559-6♥A♥4♠J♥J♦3♠"} {"id": "train-three-digit-0377", "level": "three-digit", "target": 963, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "7 + 8 * 10 * 12 - 2 - 2", "solution_steps": ["10 × 12 = 120", "8 × 120 = 960", "7 + 960 = 967", "967 − 2 = 965", "965 − 2 = 963"], "key": "three-digit-963-8♠10♣Q♦2♠2♣7♣"} {"id": "train-three-digit-0378", "level": "three-digit", "target": 700, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "10 * (6 + 6 * 13 - 13) - 10", "solution_steps": ["6 × 13 = 78", "78 − 13 = 65", "6 + 65 = 71", "10 × 71 = 710", "710 − 10 = 700"], "key": "three-digit-700-K♣6♣6♦10♦10♠K♥"} {"id": "train-three-digit-0379", "level": "three-digit", "target": 258, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "4 + 5 + 9 + 10 * (11 + 13)", "solution_steps": ["11 + 13 = 24", "10 × 24 = 240", "9 + 240 = 249", "5 + 249 = 254", "4 + 254 = 258"], "key": "three-digit-258-9♦4♦5♥10♥K♥J♠"} {"id": "train-three-digit-0380", "level": "three-digit", "target": 295, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 4 * 7 * 11 - 9 - 6", "solution_steps": ["7 × 11 = 77", "4 × 77 = 308", "308 − 9 = 299", "299 − 6 = 293", "2 + 293 = 295"], "key": "three-digit-295-6♠7♣J♦4♣2♣9♥"} {"id": "train-three-digit-0381", "level": "three-digit", "target": 713, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "11 * (6 * 13 - 8 - 5) - 2", "solution_steps": ["6 × 13 = 78", "78 − 8 = 70", "70 − 5 = 65", "11 × 65 = 715", "715 − 2 = 713"], "key": "three-digit-713-2♦K♠6♥J♦5♣8♥"} {"id": "train-three-digit-0382", "level": "three-digit", "target": 148, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "3 + 11 * (13 + 7 / 7) - 9", "solution_steps": ["7 ÷ 7 = 1", "13 + 1 = 14", "11 × 14 = 154", "154 − 9 = 145", "3 + 145 = 148"], "key": "three-digit-148-7♦J♥K♣7♠3♠9♥"} {"id": "train-three-digit-0383", "level": "three-digit", "target": 360, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "3 * 4 * (4 + 5 * 7 - 9)", "solution_steps": ["5 × 7 = 35", "35 − 9 = 26", "4 + 26 = 30", "4 × 30 = 120", "3 × 120 = 360"], "key": "three-digit-360-7♣9♣3♣4♥4♣5♥"} {"id": "train-three-digit-0384", "level": "three-digit", "target": 540, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "3 * (13 + 9 * (8 + 11) - 4)", "solution_steps": ["8 + 11 = 19", "9 × 19 = 171", "13 + 171 = 184", "184 − 4 = 180", "3 × 180 = 540"], "key": "three-digit-540-J♣8♦3♦K♣4♦9♣"} {"id": "train-three-digit-0385", "level": "three-digit", "target": 877, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "8 + 11 * (8 + 6 * 12 - 1)", "solution_steps": ["6 × 12 = 72", "8 + 72 = 80", "80 − 1 = 79", "11 × 79 = 869", "8 + 869 = 877"], "key": "three-digit-877-J♦8♥8♠6♣A♣Q♠"} {"id": "train-three-digit-0386", "level": "three-digit", "target": 928, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "5 + (3 + 10) * (8 + 7 * 9)", "solution_steps": ["3 + 10 = 13", "7 × 9 = 63", "8 + 63 = 71", "13 × 71 = 923", "5 + 923 = 928"], "key": "three-digit-928-8♠3♥9♣5♣10♣7♣"} {"id": "train-three-digit-0387", "level": "three-digit", "target": 230, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 9 + (4 + 6) * (9 + 13)", "solution_steps": ["4 + 6 = 10", "9 + 13 = 22", "10 × 22 = 220", "9 + 220 = 229", "1 + 229 = 230"], "key": "three-digit-230-A♥9♠K♣6♦4♣9♥"} {"id": "train-three-digit-0388", "level": "three-digit", "target": 292, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "(3 + 3) * (9 + 5 * 8) - 2", "solution_steps": ["3 + 3 = 6", "5 × 8 = 40", "9 + 40 = 49", "6 × 49 = 294", "294 − 2 = 292"], "key": "three-digit-292-9♥8♣3♦5♦3♠2♣"} {"id": "train-three-digit-0389", "level": "three-digit", "target": 957, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "4 * 5 * 12 * (13 - 9) - 3", "solution_steps": ["13 − 9 = 4", "12 × 4 = 48", "5 × 48 = 240", "4 × 240 = 960", "960 − 3 = 957"], "key": "three-digit-957-Q♠4♠K♣3♦5♠9♣"} {"id": "train-three-digit-0390", "level": "three-digit", "target": 563, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "5 * (9 + 13 * (1 + 7)) - 2", "solution_steps": ["1 + 7 = 8", "13 × 8 = 104", "9 + 104 = 113", "5 × 113 = 565", "565 − 2 = 563"], "key": "three-digit-563-2♠K♣5♦9♣A♦7♦"} {"id": "train-three-digit-0391", "level": "three-digit", "target": 188, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 9 * (12 + 13 - 4) - 2", "solution_steps": ["12 + 13 = 25", "25 − 4 = 21", "9 × 21 = 189", "189 − 2 = 187", "1 + 187 = 188"], "key": "three-digit-188-A♦2♥9♠4♠Q♦K♣"} {"id": "train-three-digit-0392", "level": "three-digit", "target": 343, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 9 * (2 + 6 * (13 - 7))", "solution_steps": ["13 − 7 = 6", "6 × 6 = 36", "2 + 36 = 38", "9 × 38 = 342", "1 + 342 = 343"], "key": "three-digit-343-9♥7♥2♣6♦A♦K♥"} {"id": "train-three-digit-0393", "level": "three-digit", "target": 158, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 13 + 8 * (3 * 7 - 3)", "solution_steps": ["3 × 7 = 21", "21 − 3 = 18", "8 × 18 = 144", "13 + 144 = 157", "1 + 157 = 158"], "key": "three-digit-158-3♣7♦A♠8♥3♠K♦"} {"id": "train-three-digit-0394", "level": "three-digit", "target": 906, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "6 + 6 * 10 * (7 + 2 * 4)", "solution_steps": ["2 × 4 = 8", "7 + 8 = 15", "10 × 15 = 150", "6 × 150 = 900", "6 + 900 = 906"], "key": "three-digit-906-7♠4♠2♦6♦6♣10♣"} {"id": "train-three-digit-0395", "level": "three-digit", "target": 482, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 1 + 2 * 4 * 5 * 12", "solution_steps": ["5 × 12 = 60", "4 × 60 = 240", "2 × 240 = 480", "1 + 480 = 481", "1 + 481 = 482"], "key": "three-digit-482-Q♥2♣4♥A♦A♣5♠"} {"id": "train-three-digit-0396", "level": "three-digit", "target": 611, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "6 + 9 * (8 * 10 - 12) - 7", "solution_steps": ["8 × 10 = 80", "80 − 12 = 68", "9 × 68 = 612", "612 − 7 = 605", "6 + 605 = 611"], "key": "three-digit-611-9♦8♦Q♥7♠6♦10♣"} {"id": "train-three-digit-0397", "level": "three-digit", "target": 514, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "(4 + 8) * (7 * 7 - 6) - 2", "solution_steps": ["4 + 8 = 12", "7 × 7 = 49", "49 − 6 = 43", "12 × 43 = 516", "516 − 2 = 514"], "key": "three-digit-514-4♣7♠6♦8♣2♦7♦"} {"id": "train-three-digit-0398", "level": "three-digit", "target": 712, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "7 + 5 * (13 + 2 * 8 * 8)", "solution_steps": ["8 × 8 = 64", "2 × 64 = 128", "13 + 128 = 141", "5 × 141 = 705", "7 + 705 = 712"], "key": "three-digit-712-2♠8♠8♣K♦5♦7♥"} {"id": "train-three-digit-0399", "level": "three-digit", "target": 146, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 4 + 11 + 5 * (13 + 13)", "solution_steps": ["13 + 13 = 26", "5 × 26 = 130", "11 + 130 = 141", "4 + 141 = 145", "1 + 145 = 146"], "key": "three-digit-146-K♦A♦4♣K♣5♥J♣"} {"id": "train-three-digit-0400", "level": "three-digit", "target": 102, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + 5 + 10 * 11 - 12 - 4", "solution_steps": ["10 × 11 = 110", "110 − 12 = 98", "5 + 98 = 103", "103 − 4 = 99", "3 + 99 = 102"], "key": "three-digit-102-5♦3♥10♥J♦4♦Q♥"} {"id": "train-three-digit-0401", "level": "three-digit", "target": 205, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 4 + 10 * (2 * 13 - 6)", "solution_steps": ["2 × 13 = 26", "26 − 6 = 20", "10 × 20 = 200", "4 + 200 = 204", "1 + 204 = 205"], "key": "three-digit-205-6♥2♣10♣K♦A♣4♠"} {"id": "train-three-digit-0402", "level": "three-digit", "target": 439, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "13 * (7 + 10) * (11 - 9) - 3", "solution_steps": ["7 + 10 = 17", "11 − 9 = 2", "17 × 2 = 34", "13 × 34 = 442", "442 − 3 = 439"], "key": "three-digit-439-7♥9♦3♥J♦K♥10♣"} {"id": "train-three-digit-0403", "level": "three-digit", "target": 918, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 * (8 + 10 * 13 * (12 - 5))", "solution_steps": ["12 − 5 = 7", "13 × 7 = 91", "10 × 91 = 910", "8 + 910 = 918", "1 × 918 = 918"], "key": "three-digit-918-8♣Q♦10♠A♣K♣5♦"} {"id": "train-three-digit-0404", "level": "three-digit", "target": 411, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 3 + 7 * (4 + 6 * 9)", "solution_steps": ["6 × 9 = 54", "4 + 54 = 58", "7 × 58 = 406", "3 + 406 = 409", "2 + 409 = 411"], "key": "three-digit-411-2♣9♦3♠7♣6♥4♣"} {"id": "train-three-digit-0405", "level": "three-digit", "target": 114, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 7 + 6 * (8 + 10) - 4", "solution_steps": ["8 + 10 = 18", "6 × 18 = 108", "7 + 108 = 115", "115 − 4 = 111", "3 + 111 = 114"], "key": "three-digit-114-10♠8♥7♣6♣4♠3♥"} {"id": "train-three-digit-0406", "level": "three-digit", "target": 131, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + 4 + 12 + 8 * (3 + 11)", "solution_steps": ["3 + 11 = 14", "8 × 14 = 112", "12 + 112 = 124", "4 + 124 = 128", "3 + 128 = 131"], "key": "three-digit-131-3♣J♠4♥3♥8♣Q♥"} {"id": "train-three-digit-0407", "level": "three-digit", "target": 957, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "11 * (9 + 13 * (2 * 7 - 8))", "solution_steps": ["2 × 7 = 14", "14 − 8 = 6", "13 × 6 = 78", "9 + 78 = 87", "11 × 87 = 957"], "key": "three-digit-957-2♥9♣7♣J♣8♦K♦"} {"id": "train-three-digit-0408", "level": "three-digit", "target": 888, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 10 * (8 * 12 - 7) - 3", "solution_steps": ["8 × 12 = 96", "96 − 7 = 89", "10 × 89 = 890", "890 − 3 = 887", "1 + 887 = 888"], "key": "three-digit-888-8♥A♣Q♦10♠7♠3♥"} {"id": "train-three-digit-0409", "level": "three-digit", "target": 549, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "12 * (12 + 3 * (10 + 10 / 8))", "solution_steps": ["10 ÷ 8 = 5/4", "10 + 5/4 = 45/4", "3 × 45/4 = 135/4", "12 + 135/4 = 183/4", "12 × 183/4 = 549"], "key": "three-digit-549-8♦Q♥10♥10♠3♦Q♠"} {"id": "train-three-digit-0410", "level": "three-digit", "target": 964, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 8 * (11 + 10 * 11) - 6", "solution_steps": ["10 × 11 = 110", "11 + 110 = 121", "8 × 121 = 968", "968 − 6 = 962", "2 + 962 = 964"], "key": "three-digit-964-10♦J♣6♥J♥2♠8♦"} {"id": "train-three-digit-0411", "level": "three-digit", "target": 377, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 4 * (12 + 8 * 11 - 6)", "solution_steps": ["8 × 11 = 88", "12 + 88 = 100", "100 − 6 = 94", "4 × 94 = 376", "1 + 376 = 377"], "key": "three-digit-377-Q♣6♦4♠8♠J♠A♠"} {"id": "train-three-digit-0412", "level": "three-digit", "target": 506, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "5 * (5 + 8 + 9 * 10) - 9", "solution_steps": ["9 × 10 = 90", "8 + 90 = 98", "5 + 98 = 103", "5 × 103 = 515", "515 − 9 = 506"], "key": "three-digit-506-10♦5♣9♣5♠8♥9♥"} {"id": "train-three-digit-0413", "level": "three-digit", "target": 172, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "6 + 7 + 9 * (9 + 10) - 12", "solution_steps": ["9 + 10 = 19", "9 × 19 = 171", "171 − 12 = 159", "7 + 159 = 166", "6 + 166 = 172"], "key": "three-digit-172-10♠Q♥9♠7♥9♦6♣"} {"id": "train-three-digit-0414", "level": "three-digit", "target": 141, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "4 + 7 + 10 + 6 * (8 + 12)", "solution_steps": ["8 + 12 = 20", "6 × 20 = 120", "10 + 120 = 130", "7 + 130 = 137", "4 + 137 = 141"], "key": "three-digit-141-Q♦8♠4♦7♦10♠6♦"} {"id": "train-three-digit-0415", "level": "three-digit", "target": 940, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "2 * 10 * (8 * (7 - 1) - 1)", "solution_steps": ["7 − 1 = 6", "8 × 6 = 48", "48 − 1 = 47", "10 × 47 = 470", "2 × 470 = 940"], "key": "three-digit-940-8♠A♥10♠7♥2♥A♠"} {"id": "train-three-digit-0416", "level": "three-digit", "target": 155, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 3 * (11 * (12 - 7) - 4)", "solution_steps": ["12 − 7 = 5", "11 × 5 = 55", "55 − 4 = 51", "3 × 51 = 153", "2 + 153 = 155"], "key": "three-digit-155-4♥7♠J♣Q♠3♦2♣"} {"id": "train-three-digit-0417", "level": "three-digit", "target": 634, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "12 + 13 + 7 * (8 * 12 - 9)", "solution_steps": ["8 × 12 = 96", "96 − 9 = 87", "7 × 87 = 609", "13 + 609 = 622", "12 + 622 = 634"], "key": "three-digit-634-K♣8♥9♠Q♠Q♣7♣"} {"id": "train-three-digit-0418", "level": "three-digit", "target": 799, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "(5 + 12) * (11 + 10 * 13) / 3", "solution_steps": ["5 + 12 = 17", "10 × 13 = 130", "11 + 130 = 141", "17 × 141 = 2397", "2397 ÷ 3 = 799"], "key": "three-digit-799-K♥5♣10♠Q♣J♦3♦"} {"id": "train-three-digit-0419", "level": "three-digit", "target": 382, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "9 + 13 + 9 * (4 * 13 - 12)", "solution_steps": ["4 × 13 = 52", "52 − 12 = 40", "9 × 40 = 360", "13 + 360 = 373", "9 + 373 = 382"], "key": "three-digit-382-K♣4♥K♦9♦Q♠9♠"} {"id": "train-three-digit-0420", "level": "three-digit", "target": 729, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "6 * (2 + 10 + 10 * 11) - 3", "solution_steps": ["10 × 11 = 110", "10 + 110 = 120", "2 + 120 = 122", "6 × 122 = 732", "732 − 3 = 729"], "key": "three-digit-729-J♥10♠3♥6♣10♣2♠"} {"id": "train-three-digit-0421", "level": "three-digit", "target": 789, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "11 * (8 * 10 - 7) - 13 - 1", "solution_steps": ["8 × 10 = 80", "80 − 7 = 73", "11 × 73 = 803", "803 − 13 = 790", "790 − 1 = 789"], "key": "three-digit-789-8♠K♠J♣7♥A♠10♣"} {"id": "train-three-digit-0422", "level": "three-digit", "target": 430, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "4 + 6 * (5 * (7 + 9) - 9)", "solution_steps": ["7 + 9 = 16", "5 × 16 = 80", "80 − 9 = 71", "6 × 71 = 426", "4 + 426 = 430"], "key": "three-digit-430-7♠9♣6♥5♣4♦9♦"} {"id": "train-three-digit-0423", "level": "three-digit", "target": 263, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "3 + 10 * (7 + 12 + 13 - 6)", "solution_steps": ["12 + 13 = 25", "7 + 25 = 32", "32 − 6 = 26", "10 × 26 = 260", "3 + 260 = 263"], "key": "three-digit-263-3♦7♠6♠10♥K♥Q♠"} {"id": "train-three-digit-0424", "level": "three-digit", "target": 265, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 4 * (1 + 5 + 6 * 10)", "solution_steps": ["6 × 10 = 60", "5 + 60 = 65", "1 + 65 = 66", "4 × 66 = 264", "1 + 264 = 265"], "key": "three-digit-265-A♥5♠10♣A♠6♠4♣"} {"id": "train-three-digit-0425", "level": "three-digit", "target": 510, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "3 * (4 + 6) * (4 + 4 + 9)", "solution_steps": ["4 + 6 = 10", "4 + 9 = 13", "4 + 13 = 17", "10 × 17 = 170", "3 × 170 = 510"], "key": "three-digit-510-6♠9♠3♥4♦4♣4♠"} {"id": "train-three-digit-0426", "level": "three-digit", "target": 994, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "7 * 9 * (3 + 13) - 12 - 2", "solution_steps": ["3 + 13 = 16", "9 × 16 = 144", "7 × 144 = 1008", "1008 − 12 = 996", "996 − 2 = 994"], "key": "three-digit-994-9♥K♠3♥Q♦2♦7♣"} {"id": "train-three-digit-0427", "level": "three-digit", "target": 455, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "9 * (12 * (11 - 6) - 9) - 4", "solution_steps": ["11 − 6 = 5", "12 × 5 = 60", "60 − 9 = 51", "9 × 51 = 459", "459 − 4 = 455"], "key": "three-digit-455-Q♣4♦9♦J♥6♣9♠"} {"id": "train-three-digit-0428", "level": "three-digit", "target": 997, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 6 * (12 + 11 * (5 + 9))", "solution_steps": ["5 + 9 = 14", "11 × 14 = 154", "12 + 154 = 166", "6 × 166 = 996", "1 + 996 = 997"], "key": "three-digit-997-Q♥5♠6♥A♦J♣9♣"} {"id": "train-three-digit-0429", "level": "three-digit", "target": 856, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "8 * (3 * 6 * (8 - 2) - 1)", "solution_steps": ["8 − 2 = 6", "6 × 6 = 36", "3 × 36 = 108", "108 − 1 = 107", "8 × 107 = 856"], "key": "three-digit-856-8♠A♥2♦8♥3♦6♥"} {"id": "train-three-digit-0430", "level": "three-digit", "target": 292, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 * (5 + 12 * 12) - 7", "solution_steps": ["12 × 12 = 144", "5 + 144 = 149", "2 × 149 = 298", "298 − 7 = 291", "1 + 291 = 292"], "key": "three-digit-292-2♣Q♣5♦7♥Q♥A♣"} {"id": "train-three-digit-0431", "level": "three-digit", "target": 191, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 3 * (11 + 5 * 12 - 8)", "solution_steps": ["5 × 12 = 60", "11 + 60 = 71", "71 − 8 = 63", "3 × 63 = 189", "2 + 189 = 191"], "key": "three-digit-191-8♠3♦5♠J♦Q♣2♦"} {"id": "train-three-digit-0432", "level": "three-digit", "target": 362, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 4 * (6 + 7 * 13 - 7)", "solution_steps": ["7 × 13 = 91", "91 − 7 = 84", "6 + 84 = 90", "4 × 90 = 360", "2 + 360 = 362"], "key": "three-digit-362-6♦4♥K♥7♠2♥7♦"} {"id": "train-three-digit-0433", "level": "three-digit", "target": 817, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "13 * (7 * 11 - 11 - 3) - 2", "solution_steps": ["7 × 11 = 77", "77 − 11 = 66", "66 − 3 = 63", "13 × 63 = 819", "819 − 2 = 817"], "key": "three-digit-817-J♣3♣J♠7♦2♦K♠"} {"id": "train-three-digit-0434", "level": "three-digit", "target": 106, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "3 + 5 * (12 + 12) - 9 - 8", "solution_steps": ["12 + 12 = 24", "5 × 24 = 120", "120 − 9 = 111", "111 − 8 = 103", "3 + 103 = 106"], "key": "three-digit-106-5♦Q♥9♥Q♣3♣8♠"} {"id": "train-three-digit-0435", "level": "three-digit", "target": 670, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 * (4 * (8 + 6 * 13) - 9)", "solution_steps": ["6 × 13 = 78", "8 + 78 = 86", "4 × 86 = 344", "344 − 9 = 335", "2 × 335 = 670"], "key": "three-digit-670-2♣8♣9♣6♠K♥4♣"} {"id": "train-three-digit-0436", "level": "three-digit", "target": 259, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "7 + 9 * (6 * (7 - 1) - 8)", "solution_steps": ["7 − 1 = 6", "6 × 6 = 36", "36 − 8 = 28", "9 × 28 = 252", "7 + 252 = 259"], "key": "three-digit-259-7♥A♦7♦9♠6♥8♥"} {"id": "train-three-digit-0437", "level": "three-digit", "target": 556, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "5 + 4 * 6 * (11 + 12) - 1", "solution_steps": ["11 + 12 = 23", "6 × 23 = 138", "4 × 138 = 552", "5 + 552 = 557", "557 − 1 = 556"], "key": "three-digit-556-4♦6♥J♣Q♦5♦A♣"} {"id": "train-three-digit-0438", "level": "three-digit", "target": 736, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 9 * (7 * 12 - 2) - 4", "solution_steps": ["7 × 12 = 84", "84 − 2 = 82", "9 × 82 = 738", "738 − 4 = 734", "2 + 734 = 736"], "key": "three-digit-736-9♠Q♠4♥2♣7♦2♠"} {"id": "train-three-digit-0439", "level": "three-digit", "target": 523, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 5 + 6 * (9 + 7 * 11)", "solution_steps": ["7 × 11 = 77", "9 + 77 = 86", "6 × 86 = 516", "5 + 516 = 521", "2 + 521 = 523"], "key": "three-digit-523-7♣2♠5♥9♦6♦J♥"} {"id": "train-three-digit-0440", "level": "three-digit", "target": 997, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "6 * (6 + 13 * 13 - 8) - 5", "solution_steps": ["13 × 13 = 169", "169 − 8 = 161", "6 + 161 = 167", "6 × 167 = 1002", "1002 − 5 = 997"], "key": "three-digit-997-8♣K♠6♣5♣K♣6♠"} {"id": "train-three-digit-0441", "level": "three-digit", "target": 191, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 2 * (13 + 7 * 12 - 2)", "solution_steps": ["7 × 12 = 84", "13 + 84 = 97", "97 − 2 = 95", "2 × 95 = 190", "1 + 190 = 191"], "key": "three-digit-191-2♣2♥7♥Q♥K♠A♦"} {"id": "train-three-digit-0442", "level": "three-digit", "target": 480, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 * 5 * (4 * (2 + 11) - 4)", "solution_steps": ["2 + 11 = 13", "4 × 13 = 52", "52 − 4 = 48", "5 × 48 = 240", "2 × 240 = 480"], "key": "three-digit-480-J♦4♣5♣4♦2♣2♦"} {"id": "train-three-digit-0443", "level": "three-digit", "target": 474, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 8 * (5 * 12 - 7 / 7)", "solution_steps": ["5 × 12 = 60", "7 ÷ 7 = 1", "60 − 1 = 59", "8 × 59 = 472", "2 + 472 = 474"], "key": "three-digit-474-Q♥7♠2♥5♠7♥8♦"} {"id": "train-three-digit-0444", "level": "three-digit", "target": 217, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 3 * 4 * 9 * (12 - 10)", "solution_steps": ["12 − 10 = 2", "9 × 2 = 18", "4 × 18 = 72", "3 × 72 = 216", "1 + 216 = 217"], "key": "three-digit-217-Q♦9♣3♦10♣A♦4♣"} {"id": "train-three-digit-0445", "level": "three-digit", "target": 459, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 * 11 * (11 + 11 - 1) - 3", "solution_steps": ["11 + 11 = 22", "22 − 1 = 21", "11 × 21 = 231", "2 × 231 = 462", "462 − 3 = 459"], "key": "three-digit-459-J♦A♦2♣J♠3♥J♣"} {"id": "train-three-digit-0446", "level": "three-digit", "target": 705, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "9 + 2 * 12 * (4 * 9 - 7)", "solution_steps": ["4 × 9 = 36", "36 − 7 = 29", "12 × 29 = 348", "2 × 348 = 696", "9 + 696 = 705"], "key": "three-digit-705-7♦9♦2♦9♥4♥Q♥"} {"id": "train-three-digit-0447", "level": "three-digit", "target": 422, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 + 8 + 3 * (11 * 13 - 6)", "solution_steps": ["11 × 13 = 143", "143 − 6 = 137", "3 × 137 = 411", "8 + 411 = 419", "3 + 419 = 422"], "key": "three-digit-422-6♦8♣3♦3♠K♣J♦"} {"id": "train-three-digit-0448", "level": "three-digit", "target": 623, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "11 + 4 * (11 * (4 + 10) - 1)", "solution_steps": ["4 + 10 = 14", "11 × 14 = 154", "154 − 1 = 153", "4 × 153 = 612", "11 + 612 = 623"], "key": "three-digit-623-A♥4♣4♠J♠J♣10♥"} {"id": "train-three-digit-0449", "level": "three-digit", "target": 405, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 + 6 * (7 + 12 * (6 - 1))", "solution_steps": ["6 − 1 = 5", "12 × 5 = 60", "7 + 60 = 67", "6 × 67 = 402", "3 + 402 = 405"], "key": "three-digit-405-Q♣6♠A♥3♥6♦7♥"} {"id": "train-three-digit-0450", "level": "three-digit", "target": 552, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "9 + 8 * (3 + 5 * 13) - 1", "solution_steps": ["5 × 13 = 65", "3 + 65 = 68", "8 × 68 = 544", "9 + 544 = 553", "553 − 1 = 552"], "key": "three-digit-552-9♦A♦K♣5♠3♠8♣"} {"id": "train-three-digit-0451", "level": "three-digit", "target": 167, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "4 * 6 * (6 + 12 / 12) - 1", "solution_steps": ["12 ÷ 12 = 1", "6 + 1 = 7", "6 × 7 = 42", "4 × 42 = 168", "168 − 1 = 167"], "key": "three-digit-167-Q♠4♣A♥6♣6♠Q♥"} {"id": "train-three-digit-0452", "level": "three-digit", "target": 256, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "5 + 10 * (7 + 8 + 11) - 9", "solution_steps": ["8 + 11 = 19", "7 + 19 = 26", "10 × 26 = 260", "260 − 9 = 251", "5 + 251 = 256"], "key": "three-digit-256-8♦9♣7♥J♥5♠10♠"} {"id": "train-three-digit-0453", "level": "three-digit", "target": 666, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "3 + 8 * (6 + 6 * 13) - 9", "solution_steps": ["6 × 13 = 78", "6 + 78 = 84", "8 × 84 = 672", "672 − 9 = 663", "3 + 663 = 666"], "key": "three-digit-666-6♠6♦8♥3♠9♣K♥"} {"id": "train-three-digit-0454", "level": "three-digit", "target": 740, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + 11 * (12 * (8 - 2) - 5)", "solution_steps": ["8 − 2 = 6", "12 × 6 = 72", "72 − 5 = 67", "11 × 67 = 737", "3 + 737 = 740"], "key": "three-digit-740-8♣5♥J♥3♦2♥Q♣"} {"id": "train-three-digit-0455", "level": "three-digit", "target": 290, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "4 + 11 * 13 * 10 / (12 - 7)", "solution_steps": ["12 − 7 = 5", "10 ÷ 5 = 2", "13 × 2 = 26", "11 × 26 = 286", "4 + 286 = 290"], "key": "three-digit-290-4♦Q♠J♠10♣K♣7♣"} {"id": "train-three-digit-0456", "level": "three-digit", "target": 455, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "7 * (3 + 10 + 13 * (13 - 9))", "solution_steps": ["13 − 9 = 4", "13 × 4 = 52", "10 + 52 = 62", "3 + 62 = 65", "7 × 65 = 455"], "key": "three-digit-455-10♣9♠K♦7♣3♣K♥"} {"id": "train-three-digit-0457", "level": "three-digit", "target": 880, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "5 * (7 + 10 * (5 + 13) - 11)", "solution_steps": ["5 + 13 = 18", "10 × 18 = 180", "180 − 11 = 169", "7 + 169 = 176", "5 × 176 = 880"], "key": "three-digit-880-10♦5♠K♠7♥J♥5♣"} {"id": "train-three-digit-0458", "level": "three-digit", "target": 380, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 7 * (9 * (10 - 3) - 9)", "solution_steps": ["10 − 3 = 7", "9 × 7 = 63", "63 − 9 = 54", "7 × 54 = 378", "2 + 378 = 380"], "key": "three-digit-380-9♦3♥2♣7♠10♦9♥"} {"id": "train-three-digit-0459", "level": "three-digit", "target": 493, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "(1 + 2 * 8) * (3 * 10 - 1)", "solution_steps": ["2 × 8 = 16", "1 + 16 = 17", "3 × 10 = 30", "30 − 1 = 29", "17 × 29 = 493"], "key": "three-digit-493-2♥A♣8♥A♠10♣3♦"} {"id": "train-three-digit-0460", "level": "three-digit", "target": 807, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "11 * (2 + 12 * (8 - 2)) - 7", "solution_steps": ["8 − 2 = 6", "12 × 6 = 72", "2 + 72 = 74", "11 × 74 = 814", "814 − 7 = 807"], "key": "three-digit-807-2♦Q♣2♣8♣J♥7♥"} {"id": "train-three-digit-0461", "level": "three-digit", "target": 611, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "7 * (7 * 13 - 2) - 11 - 1", "solution_steps": ["7 × 13 = 91", "91 − 2 = 89", "7 × 89 = 623", "623 − 11 = 612", "612 − 1 = 611"], "key": "three-digit-611-2♥J♦7♣K♣7♥A♥"} {"id": "train-three-digit-0462", "level": "three-digit", "target": 840, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "2 * 10 * 10 * (10 + 11) / 5", "solution_steps": ["10 + 11 = 21", "10 × 21 = 210", "10 × 210 = 2100", "2100 ÷ 5 = 420", "2 × 420 = 840"], "key": "three-digit-840-2♣10♥10♦10♣5♦J♦"} {"id": "train-three-digit-0463", "level": "three-digit", "target": 464, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 6 * (12 + 6 * 11 - 1)", "solution_steps": ["6 × 11 = 66", "12 + 66 = 78", "78 − 1 = 77", "6 × 77 = 462", "2 + 462 = 464"], "key": "three-digit-464-6♣Q♥6♠A♠J♦2♠"} {"id": "train-three-digit-0464", "level": "three-digit", "target": 703, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 3 * 13 * (2 + 6 + 10)", "solution_steps": ["6 + 10 = 16", "2 + 16 = 18", "13 × 18 = 234", "3 × 234 = 702", "1 + 702 = 703"], "key": "three-digit-703-6♦A♥2♦3♣10♦K♦"} {"id": "train-three-digit-0465", "level": "three-digit", "target": 873, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 6 * (1 + 8 * (5 + 13))", "solution_steps": ["5 + 13 = 18", "8 × 18 = 144", "1 + 144 = 145", "6 × 145 = 870", "3 + 870 = 873"], "key": "three-digit-873-A♥6♦3♠5♦K♣8♥"} {"id": "train-three-digit-0466", "level": "three-digit", "target": 583, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "11 + 4 * (4 * 6 * 6 - 1)", "solution_steps": ["6 × 6 = 36", "4 × 36 = 144", "144 − 1 = 143", "4 × 143 = 572", "11 + 572 = 583"], "key": "three-digit-583-J♣A♠6♣4♥6♥4♣"} {"id": "train-three-digit-0467", "level": "three-digit", "target": 804, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "2 * (3 + (8 + 13) * (9 + 10))", "solution_steps": ["8 + 13 = 21", "9 + 10 = 19", "21 × 19 = 399", "3 + 399 = 402", "2 × 402 = 804"], "key": "three-digit-804-10♣9♠2♣K♣3♦8♣"} {"id": "train-three-digit-0468", "level": "three-digit", "target": 739, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 9 * (6 + 4 * (6 + 13))", "solution_steps": ["6 + 13 = 19", "4 × 19 = 76", "6 + 76 = 82", "9 × 82 = 738", "1 + 738 = 739"], "key": "three-digit-739-4♣A♥6♥9♦6♦K♦"} {"id": "train-three-digit-0469", "level": "three-digit", "target": 288, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 13 * (9 + 13 * (8 - 7))", "solution_steps": ["8 − 7 = 1", "13 × 1 = 13", "9 + 13 = 22", "13 × 22 = 286", "2 + 286 = 288"], "key": "three-digit-288-8♣K♠7♥K♥9♥2♠"} {"id": "train-three-digit-0470", "level": "three-digit", "target": 198, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "6 + 10 * 10 * (13 - 11) - 8", "solution_steps": ["13 − 11 = 2", "10 × 2 = 20", "10 × 20 = 200", "200 − 8 = 192", "6 + 192 = 198"], "key": "three-digit-198-6♥10♥8♣K♠J♦10♠"} {"id": "train-three-digit-0471", "level": "three-digit", "target": 277, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 6 * 8 + 12 * (8 + 11)", "solution_steps": ["6 × 8 = 48", "8 + 11 = 19", "12 × 19 = 228", "48 + 228 = 276", "1 + 276 = 277"], "key": "three-digit-277-A♦8♣6♥8♠J♥Q♦"} {"id": "train-three-digit-0472", "level": "three-digit", "target": 251, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 10 * (4 + 7 + 7 + 7)", "solution_steps": ["7 + 7 = 14", "7 + 14 = 21", "4 + 21 = 25", "10 × 25 = 250", "1 + 250 = 251"], "key": "three-digit-251-7♠7♥4♥10♣7♦A♦"} {"id": "train-three-digit-0473", "level": "three-digit", "target": 376, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "4 * (6 + 9 * 10) - 5 - 3", "solution_steps": ["9 × 10 = 90", "6 + 90 = 96", "4 × 96 = 384", "384 − 5 = 379", "379 − 3 = 376"], "key": "three-digit-376-3♣4♦6♥10♣9♣5♣"} {"id": "train-three-digit-0474", "level": "three-digit", "target": 812, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "8 * (13 * (2 + 13 / 2) - 9)", "solution_steps": ["13 ÷ 2 = 13/2", "2 + 13/2 = 17/2", "13 × 17/2 = 221/2", "221/2 − 9 = 203/2", "8 × 203/2 = 812"], "key": "three-digit-812-2♥9♥K♣8♥K♠2♦"} {"id": "train-three-digit-0475", "level": "three-digit", "target": 369, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 6 * 7 * 9 - 8 - 3", "solution_steps": ["7 × 9 = 63", "6 × 63 = 378", "378 − 8 = 370", "370 − 3 = 367", "2 + 367 = 369"], "key": "three-digit-369-9♥2♠8♣3♣7♥6♥"} {"id": "train-three-digit-0476", "level": "three-digit", "target": 113, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 8 * (7 + 9) - 11 - 5", "solution_steps": ["7 + 9 = 16", "8 × 16 = 128", "128 − 11 = 117", "117 − 5 = 112", "1 + 112 = 113"], "key": "three-digit-113-7♦5♥9♠A♥J♥8♠"} {"id": "train-three-digit-0477", "level": "three-digit", "target": 753, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 8 * (11 + 7 * 12) - 9", "solution_steps": ["7 × 12 = 84", "11 + 84 = 95", "8 × 95 = 760", "760 − 9 = 751", "2 + 751 = 753"], "key": "three-digit-753-J♥9♥8♠7♦Q♠2♦"} {"id": "train-three-digit-0478", "level": "three-digit", "target": 356, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "3 + 6 * 12 * (11 - 6) - 7", "solution_steps": ["11 − 6 = 5", "12 × 5 = 60", "6 × 60 = 360", "360 − 7 = 353", "3 + 353 = 356"], "key": "three-digit-356-6♠Q♦3♦6♦7♥J♥"} {"id": "train-three-digit-0479", "level": "three-digit", "target": 638, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 * 11 * (3 + 8 * 8 - 9)", "solution_steps": ["8 × 8 = 64", "64 − 9 = 55", "3 + 55 = 58", "11 × 58 = 638", "1 × 638 = 638"], "key": "three-digit-638-8♦J♣8♣3♠9♥A♦"} {"id": "train-three-digit-0480", "level": "three-digit", "target": 737, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "5 + 12 + 4 * 10 * (6 + 12)", "solution_steps": ["6 + 12 = 18", "10 × 18 = 180", "4 × 180 = 720", "12 + 720 = 732", "5 + 732 = 737"], "key": "three-digit-737-Q♣4♥10♦Q♠5♦6♦"} {"id": "train-three-digit-0481", "level": "three-digit", "target": 437, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "3 + 4 * (9 * 13 - 7) - 6", "solution_steps": ["9 × 13 = 117", "117 − 7 = 110", "4 × 110 = 440", "440 − 6 = 434", "3 + 434 = 437"], "key": "three-digit-437-9♠3♥4♥K♦6♣7♠"} {"id": "train-three-digit-0482", "level": "three-digit", "target": 341, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 8 * 13 + 3 * 6 * 13", "solution_steps": ["8 × 13 = 104", "6 × 13 = 78", "3 × 78 = 234", "104 + 234 = 338", "3 + 338 = 341"], "key": "three-digit-341-3♥K♣3♠K♠6♣8♦"} {"id": "train-three-digit-0483", "level": "three-digit", "target": 343, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 11 * (4 * 12 - 13 - 4)", "solution_steps": ["4 × 12 = 48", "48 − 13 = 35", "35 − 4 = 31", "11 × 31 = 341", "2 + 341 = 343"], "key": "three-digit-343-J♥4♣4♠K♠Q♣2♣"} {"id": "train-three-digit-0484", "level": "three-digit", "target": 336, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + 5 + 7 * (8 + 3 * 13)", "solution_steps": ["3 × 13 = 39", "8 + 39 = 47", "7 × 47 = 329", "5 + 329 = 334", "2 + 334 = 336"], "key": "three-digit-336-2♦8♦5♦K♠3♠7♣"} {"id": "train-three-digit-0485", "level": "three-digit", "target": 451, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "3 + 8 * (6 * (5 + 6) - 10)", "solution_steps": ["5 + 6 = 11", "6 × 11 = 66", "66 − 10 = 56", "8 × 56 = 448", "3 + 448 = 451"], "key": "three-digit-451-3♠6♠5♥10♥8♠6♦"} {"id": "train-three-digit-0486", "level": "three-digit", "target": 252, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "7 + 7 + 12 * (8 + 12) - 2", "solution_steps": ["8 + 12 = 20", "12 × 20 = 240", "7 + 240 = 247", "7 + 247 = 254", "254 − 2 = 252"], "key": "three-digit-252-7♦8♦Q♠2♣7♠Q♣"} {"id": "train-three-digit-0487", "level": "three-digit", "target": 737, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "9 * (10 + 7 * 12 - 12) - 1", "solution_steps": ["7 × 12 = 84", "84 − 12 = 72", "10 + 72 = 82", "9 × 82 = 738", "738 − 1 = 737"], "key": "three-digit-737-10♠Q♥9♠7♥A♥Q♦"} {"id": "train-three-digit-0488", "level": "three-digit", "target": 883, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "6 * (13 * 13 - 12 - 9) - 5", "solution_steps": ["13 × 13 = 169", "169 − 12 = 157", "157 − 9 = 148", "6 × 148 = 888", "888 − 5 = 883"], "key": "three-digit-883-9♥5♦6♠Q♣K♣K♥"} {"id": "train-three-digit-0489", "level": "three-digit", "target": 312, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 10 + 10 * (6 + 11 + 13)", "solution_steps": ["11 + 13 = 24", "6 + 24 = 30", "10 × 30 = 300", "10 + 300 = 310", "2 + 310 = 312"], "key": "three-digit-312-J♣10♥2♠6♦10♣K♠"} {"id": "train-three-digit-0490", "level": "three-digit", "target": 303, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 6 + 7 + 4 * 8 * 9", "solution_steps": ["8 × 9 = 72", "4 × 72 = 288", "7 + 288 = 295", "6 + 295 = 301", "2 + 301 = 303"], "key": "three-digit-303-9♦7♦8♠6♣4♦2♥"} {"id": "train-three-digit-0491", "level": "three-digit", "target": 715, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "7 * (9 * 13 - 12) - 10 - 10", "solution_steps": ["9 × 13 = 117", "117 − 12 = 105", "7 × 105 = 735", "735 − 10 = 725", "725 − 10 = 715"], "key": "three-digit-715-10♣7♠9♥10♠Q♣K♠"} {"id": "train-three-digit-0492", "level": "three-digit", "target": 902, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "11 * (3 + 5 + 10 + 8 * 8)", "solution_steps": ["8 × 8 = 64", "10 + 64 = 74", "5 + 74 = 79", "3 + 79 = 82", "11 × 82 = 902"], "key": "three-digit-902-10♦8♣3♣8♥J♥5♣"} {"id": "train-three-digit-0493", "level": "three-digit", "target": 180, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 7 * (7 + 9 + 10) - 3", "solution_steps": ["9 + 10 = 19", "7 + 19 = 26", "7 × 26 = 182", "182 − 3 = 179", "1 + 179 = 180"], "key": "three-digit-180-A♦7♠10♣9♦3♠7♥"} {"id": "train-three-digit-0494", "level": "three-digit", "target": 740, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "12 * (7 * 9 - 5 / 5) - 4", "solution_steps": ["7 × 9 = 63", "5 ÷ 5 = 1", "63 − 1 = 62", "12 × 62 = 744", "744 − 4 = 740"], "key": "three-digit-740-Q♥4♦5♦5♥9♥7♥"} {"id": "train-three-digit-0495", "level": "three-digit", "target": 934, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "9 * 13 * (6 + 12 / 6) - 2", "solution_steps": ["12 ÷ 6 = 2", "6 + 2 = 8", "13 × 8 = 104", "9 × 104 = 936", "936 − 2 = 934"], "key": "three-digit-934-9♦2♠K♠6♦Q♠6♠"} {"id": "train-three-digit-0496", "level": "three-digit", "target": 309, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "2 + 12 * 13 * (10 - 8) - 5", "solution_steps": ["10 − 8 = 2", "13 × 2 = 26", "12 × 26 = 312", "312 − 5 = 307", "2 + 307 = 309"], "key": "three-digit-309-10♥5♣Q♦2♦K♠8♣"} {"id": "train-three-digit-0497", "level": "three-digit", "target": 165, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 7 * (4 * 8 - 8) - 6", "solution_steps": ["4 × 8 = 32", "32 − 8 = 24", "7 × 24 = 168", "168 − 6 = 162", "3 + 162 = 165"], "key": "three-digit-165-4♣6♠8♦7♣8♣3♠"} {"id": "train-three-digit-0498", "level": "three-digit", "target": 720, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 * 6 * (3 + 9) * (13 - 8)", "solution_steps": ["3 + 9 = 12", "13 − 8 = 5", "12 × 5 = 60", "6 × 60 = 360", "2 × 360 = 720"], "key": "three-digit-720-9♠2♠8♦6♦3♦K♦"} {"id": "train-three-digit-0499", "level": "three-digit", "target": 776, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 * (5 * 12 * (2 + 11) - 4)", "solution_steps": ["2 + 11 = 13", "12 × 13 = 156", "5 × 156 = 780", "780 − 4 = 776", "1 × 776 = 776"], "key": "three-digit-776-4♥5♥2♠A♦J♦Q♣"} {"id": "train-three-digit-0500", "level": "three-digit", "target": 640, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "4 * (5 - 3) * (9 * 9 - 1)", "solution_steps": ["5 − 3 = 2", "9 × 9 = 81", "81 − 1 = 80", "2 × 80 = 160", "4 × 160 = 640"], "key": "three-digit-640-3♠5♥9♠4♦A♥9♣"} {"id": "train-three-digit-0501", "level": "three-digit", "target": 348, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 2 * (5 + 12 * (4 + 10))", "solution_steps": ["4 + 10 = 14", "12 × 14 = 168", "5 + 168 = 173", "2 × 173 = 346", "2 + 346 = 348"], "key": "three-digit-348-10♠2♠2♣4♣5♣Q♦"} {"id": "train-three-digit-0502", "level": "three-digit", "target": 376, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "4 + 6 * (6 + 7 * (1 + 7))", "solution_steps": ["1 + 7 = 8", "7 × 8 = 56", "6 + 56 = 62", "6 × 62 = 372", "4 + 372 = 376"], "key": "three-digit-376-A♦6♣4♠7♦7♠6♦"} {"id": "train-three-digit-0503", "level": "three-digit", "target": 698, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "6 + 8 + 6 * (9 * 13 - 3)", "solution_steps": ["9 × 13 = 117", "117 − 3 = 114", "6 × 114 = 684", "8 + 684 = 692", "6 + 692 = 698"], "key": "three-digit-698-8♣3♠K♥6♣9♠6♦"} {"id": "train-three-digit-0504", "level": "three-digit", "target": 889, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "6 + 10 + 9 * (13 + 7 * 12)", "solution_steps": ["7 × 12 = 84", "13 + 84 = 97", "9 × 97 = 873", "10 + 873 = 883", "6 + 883 = 889"], "key": "three-digit-889-6♦Q♠10♠7♦K♥9♠"} {"id": "train-three-digit-0505", "level": "three-digit", "target": 615, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 * 5 * (3 + 6 * (8 + 12))", "solution_steps": ["8 + 12 = 20", "6 × 20 = 120", "3 + 120 = 123", "5 × 123 = 615", "1 × 615 = 615"], "key": "three-digit-615-A♦5♥Q♣6♠3♥8♠"} {"id": "train-three-digit-0506", "level": "three-digit", "target": 570, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "3 + 7 * (9 * 11 - 11 - 7)", "solution_steps": ["9 × 11 = 99", "99 − 11 = 88", "88 − 7 = 81", "7 × 81 = 567", "3 + 567 = 570"], "key": "three-digit-570-3♣J♥J♦7♠7♦9♦"} {"id": "train-three-digit-0507", "level": "three-digit", "target": 624, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 * 6 * (9 * 12 - 8 / 2)", "solution_steps": ["9 × 12 = 108", "8 ÷ 2 = 4", "108 − 4 = 104", "6 × 104 = 624", "1 × 624 = 624"], "key": "three-digit-624-Q♠8♦A♥9♠2♠6♠"} {"id": "train-three-digit-0508", "level": "three-digit", "target": 436, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "8 * (1 + 4 + 8 * 13) / 2", "solution_steps": ["8 × 13 = 104", "4 + 104 = 108", "1 + 108 = 109", "8 × 109 = 872", "872 ÷ 2 = 436"], "key": "three-digit-436-2♥8♥K♣8♠4♠A♦"} {"id": "train-three-digit-0509", "level": "three-digit", "target": 285, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 + 6 * (5 + 6 * (11 - 4))", "solution_steps": ["11 − 4 = 7", "6 × 7 = 42", "5 + 42 = 47", "6 × 47 = 282", "3 + 282 = 285"], "key": "three-digit-285-3♠6♠5♦J♣4♣6♣"} {"id": "train-three-digit-0510", "level": "three-digit", "target": 996, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "8 + 13 * (7 * (1 + 10) - 1)", "solution_steps": ["1 + 10 = 11", "7 × 11 = 77", "77 − 1 = 76", "13 × 76 = 988", "8 + 988 = 996"], "key": "three-digit-996-8♣A♥10♣A♦7♥K♣"} {"id": "train-three-digit-0511", "level": "three-digit", "target": 748, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "10 + (5 + 13) * (1 + 4 * 10)", "solution_steps": ["5 + 13 = 18", "4 × 10 = 40", "1 + 40 = 41", "18 × 41 = 738", "10 + 738 = 748"], "key": "three-digit-748-A♥10♠10♦5♣K♦4♦"} {"id": "train-three-digit-0512", "level": "three-digit", "target": 894, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 9 * (8 + 13 * (8 - 1))", "solution_steps": ["8 − 1 = 7", "13 × 7 = 91", "8 + 91 = 99", "9 × 99 = 891", "3 + 891 = 894"], "key": "three-digit-894-K♣9♥8♠8♣A♥3♦"} {"id": "train-three-digit-0513", "level": "three-digit", "target": 209, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "8 + 9 + 8 * (3 * 11 - 9)", "solution_steps": ["3 × 11 = 33", "33 − 9 = 24", "8 × 24 = 192", "9 + 192 = 201", "8 + 201 = 209"], "key": "three-digit-209-8♠8♣9♣J♣9♥3♣"} {"id": "train-three-digit-0514", "level": "three-digit", "target": 632, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "5 * 11 * 12 - 10 - 10 - 8", "solution_steps": ["11 × 12 = 132", "5 × 132 = 660", "660 − 10 = 650", "650 − 10 = 640", "640 − 8 = 632"], "key": "three-digit-632-J♣8♦Q♦10♦10♠5♣"} {"id": "train-three-digit-0515", "level": "three-digit", "target": 763, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "9 + 13 * (10 + 4 * (1 + 11))", "solution_steps": ["1 + 11 = 12", "4 × 12 = 48", "10 + 48 = 58", "13 × 58 = 754", "9 + 754 = 763"], "key": "three-digit-763-J♦10♣A♦K♣4♠9♠"} {"id": "train-three-digit-0516", "level": "three-digit", "target": 437, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "10 + 13 + (8 + 10) * (11 + 12)", "solution_steps": ["8 + 10 = 18", "11 + 12 = 23", "18 × 23 = 414", "13 + 414 = 427", "10 + 427 = 437"], "key": "three-digit-437-10♦8♦J♥Q♣K♥10♠"} {"id": "train-three-digit-0517", "level": "three-digit", "target": 537, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 6 * (4 * (11 + 13) - 7)", "solution_steps": ["11 + 13 = 24", "4 × 24 = 96", "96 − 7 = 89", "6 × 89 = 534", "3 + 534 = 537"], "key": "three-digit-537-4♥J♥7♥K♦6♠3♦"} {"id": "train-three-digit-0518", "level": "three-digit", "target": 117, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 8 + 8 + 8 * 13 - 6", "solution_steps": ["8 × 13 = 104", "8 + 104 = 112", "8 + 112 = 120", "120 − 6 = 114", "3 + 114 = 117"], "key": "three-digit-117-8♥8♣8♠K♥6♦3♦"} {"id": "train-three-digit-0519", "level": "three-digit", "target": 279, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 + 12 * (3 * 8 - 11 / 11)", "solution_steps": ["3 × 8 = 24", "11 ÷ 11 = 1", "24 − 1 = 23", "12 × 23 = 276", "3 + 276 = 279"], "key": "three-digit-279-Q♦8♠J♥3♠3♥J♦"} {"id": "train-three-digit-0520", "level": "three-digit", "target": 115, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "4 + 4 + 5 + 6 * (7 + 10)", "solution_steps": ["7 + 10 = 17", "6 × 17 = 102", "5 + 102 = 107", "4 + 107 = 111", "4 + 111 = 115"], "key": "three-digit-115-10♠4♠7♣6♥4♦5♣"} {"id": "train-three-digit-0521", "level": "three-digit", "target": 431, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "3 * 3 * 4 * 12 - 4 / 4", "solution_steps": ["4 × 12 = 48", "3 × 48 = 144", "3 × 144 = 432", "4 ÷ 4 = 1", "432 − 1 = 431"], "key": "three-digit-431-4♠3♥4♣Q♣3♦4♥"} {"id": "train-three-digit-0522", "level": "three-digit", "target": 945, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "3 + 6 * (5 + 8 + 12 * 12)", "solution_steps": ["12 × 12 = 144", "8 + 144 = 152", "5 + 152 = 157", "6 × 157 = 942", "3 + 942 = 945"], "key": "three-digit-945-6♣Q♣5♦3♦Q♥8♠"} {"id": "train-three-digit-0523", "level": "three-digit", "target": 339, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "7 + 2 * (10 * (4 + 13) - 4)", "solution_steps": ["4 + 13 = 17", "10 × 17 = 170", "170 − 4 = 166", "2 × 166 = 332", "7 + 332 = 339"], "key": "three-digit-339-7♣K♣4♦10♠4♠2♦"} {"id": "train-three-digit-0524", "level": "three-digit", "target": 849, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "12 * (8 * (4 + 5) - 1) - 3", "solution_steps": ["4 + 5 = 9", "8 × 9 = 72", "72 − 1 = 71", "12 × 71 = 852", "852 − 3 = 849"], "key": "three-digit-849-A♥5♠8♣3♦4♣Q♦"} {"id": "train-three-digit-0525", "level": "three-digit", "target": 584, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 9 + 7 * (10 + 6 * 12)", "solution_steps": ["6 × 12 = 72", "10 + 72 = 82", "7 × 82 = 574", "9 + 574 = 583", "1 + 583 = 584"], "key": "three-digit-584-Q♣10♣A♣9♠7♠6♣"} {"id": "train-three-digit-0526", "level": "three-digit", "target": 702, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + (8 + 12) * (8 + 3 * 9)", "solution_steps": ["8 + 12 = 20", "3 × 9 = 27", "8 + 27 = 35", "20 × 35 = 700", "2 + 700 = 702"], "key": "three-digit-702-8♣8♠Q♦2♥3♦9♥"} {"id": "train-three-digit-0527", "level": "three-digit", "target": 322, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + (6 - 3) * (11 + 8 * 12)", "solution_steps": ["6 − 3 = 3", "8 × 12 = 96", "11 + 96 = 107", "3 × 107 = 321", "1 + 321 = 322"], "key": "three-digit-322-J♦8♥6♠3♦A♣Q♠"} {"id": "train-three-digit-0528", "level": "three-digit", "target": 845, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "5 + 8 + 13 * (8 * 9 - 8)", "solution_steps": ["8 × 9 = 72", "72 − 8 = 64", "13 × 64 = 832", "8 + 832 = 840", "5 + 840 = 845"], "key": "three-digit-845-8♣8♦9♥K♣5♠8♥"} {"id": "train-three-digit-0529", "level": "three-digit", "target": 992, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + (3 + 12) * (3 + 7 * 9)", "solution_steps": ["3 + 12 = 15", "7 × 9 = 63", "3 + 63 = 66", "15 × 66 = 990", "2 + 990 = 992"], "key": "three-digit-992-Q♠2♣7♦9♥3♠3♦"} {"id": "train-three-digit-0530", "level": "three-digit", "target": 227, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 10 + 8 * (7 + 9 + 11)", "solution_steps": ["9 + 11 = 20", "7 + 20 = 27", "8 × 27 = 216", "10 + 216 = 226", "1 + 226 = 227"], "key": "three-digit-227-8♥10♦A♥J♠7♥9♦"} {"id": "train-three-digit-0531", "level": "three-digit", "target": 733, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "(4 + 5) * (12 + 7 * 10) - 5", "solution_steps": ["4 + 5 = 9", "7 × 10 = 70", "12 + 70 = 82", "9 × 82 = 738", "738 − 5 = 733"], "key": "three-digit-733-10♠7♦5♥4♥Q♦5♣"} {"id": "train-three-digit-0532", "level": "three-digit", "target": 382, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "4 + 3 * (8 + 10 * 12) - 6", "solution_steps": ["10 × 12 = 120", "8 + 120 = 128", "3 × 128 = 384", "384 − 6 = 378", "4 + 378 = 382"], "key": "three-digit-382-3♦Q♣8♣10♠6♥4♥"} {"id": "train-three-digit-0533", "level": "three-digit", "target": 818, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "13 * (11 + 12 * 13 / 3) - 1", "solution_steps": ["12 × 13 = 156", "156 ÷ 3 = 52", "11 + 52 = 63", "13 × 63 = 819", "819 − 1 = 818"], "key": "three-digit-818-3♦A♥K♦J♠Q♦K♠"} {"id": "train-three-digit-0534", "level": "three-digit", "target": 554, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 13 + 9 * (8 * 9 - 12)", "solution_steps": ["8 × 9 = 72", "72 − 12 = 60", "9 × 60 = 540", "13 + 540 = 553", "1 + 553 = 554"], "key": "three-digit-554-9♠A♥8♣9♥Q♠K♥"} {"id": "train-three-digit-0535", "level": "three-digit", "target": 938, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "7 * (5 + 10 + 10 * 13 - 11)", "solution_steps": ["10 × 13 = 130", "130 − 11 = 119", "10 + 119 = 129", "5 + 129 = 134", "7 × 134 = 938"], "key": "three-digit-938-10♣7♥K♥5♦J♣10♠"} {"id": "train-three-digit-0536", "level": "three-digit", "target": 892, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "4 + 2 * 12 * (4 + 3 * 11)", "solution_steps": ["3 × 11 = 33", "4 + 33 = 37", "12 × 37 = 444", "2 × 444 = 888", "4 + 888 = 892"], "key": "three-digit-892-J♥4♠2♦3♣4♥Q♠"} {"id": "train-three-digit-0537", "level": "three-digit", "target": 637, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "12 + 5 * (9 * (5 + 9) - 1)", "solution_steps": ["5 + 9 = 14", "9 × 14 = 126", "126 − 1 = 125", "5 × 125 = 625", "12 + 625 = 637"], "key": "three-digit-637-9♥5♣A♥Q♥5♥9♠"} {"id": "train-three-digit-0538", "level": "three-digit", "target": 231, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "4 + 6 * 13 * (11 - 8) - 7", "solution_steps": ["11 − 8 = 3", "13 × 3 = 39", "6 × 39 = 234", "234 − 7 = 227", "4 + 227 = 231"], "key": "three-digit-231-J♥6♣4♦7♦8♦K♦"} {"id": "train-three-digit-0539", "level": "three-digit", "target": 311, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "5 + 3 * (9 + 12 + 9 * 9)", "solution_steps": ["9 × 9 = 81", "12 + 81 = 93", "9 + 93 = 102", "3 × 102 = 306", "5 + 306 = 311"], "key": "three-digit-311-9♠Q♠3♣9♥5♣9♦"} {"id": "train-three-digit-0540", "level": "three-digit", "target": 371, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "12 * (5 * 9 - 2 * 7) - 1", "solution_steps": ["5 × 9 = 45", "2 × 7 = 14", "45 − 14 = 31", "12 × 31 = 372", "372 − 1 = 371"], "key": "three-digit-371-A♠5♣7♣9♣2♦Q♠"} {"id": "train-three-digit-0541", "level": "three-digit", "target": 170, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 * ((4 + 7) * (6 + 10) - 6)", "solution_steps": ["4 + 7 = 11", "6 + 10 = 16", "11 × 16 = 176", "176 − 6 = 170", "1 × 170 = 170"], "key": "three-digit-170-4♥6♠A♥7♠6♥10♦"} {"id": "train-three-digit-0542", "level": "three-digit", "target": 611, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 8 * (6 * 13 - 10 / 5)", "solution_steps": ["6 × 13 = 78", "10 ÷ 5 = 2", "78 − 2 = 76", "8 × 76 = 608", "3 + 608 = 611"], "key": "three-digit-611-8♥K♦3♥6♥5♥10♥"} {"id": "train-three-digit-0543", "level": "three-digit", "target": 793, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "4 + 9 + 12 * 13 * (11 - 6)", "solution_steps": ["11 − 6 = 5", "13 × 5 = 65", "12 × 65 = 780", "9 + 780 = 789", "4 + 789 = 793"], "key": "three-digit-793-Q♣6♣4♠K♣9♣J♦"} {"id": "train-three-digit-0544", "level": "three-digit", "target": 769, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "4 + (11 - 2) * (8 * 11 - 3)", "solution_steps": ["11 − 2 = 9", "8 × 11 = 88", "88 − 3 = 85", "9 × 85 = 765", "4 + 765 = 769"], "key": "three-digit-769-4♣8♠J♦3♠2♠J♠"} {"id": "train-three-digit-0545", "level": "three-digit", "target": 679, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "(2 + 12) * (2 / 4 + 6 * 8)", "solution_steps": ["2 + 12 = 14", "2 ÷ 4 = 1/2", "6 × 8 = 48", "1/2 + 48 = 97/2", "14 × 97/2 = 679"], "key": "three-digit-679-4♥8♦6♠2♣Q♦2♦"} {"id": "train-three-digit-0546", "level": "three-digit", "target": 297, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 * (9 * 10 - 9 - 6) - 3", "solution_steps": ["9 × 10 = 90", "90 − 9 = 81", "81 − 6 = 75", "4 × 75 = 300", "300 − 3 = 297"], "key": "three-digit-297-3♥6♦9♦10♣9♥4♦"} {"id": "train-three-digit-0547", "level": "three-digit", "target": 147, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 8 * (4 + 7 * (13 - 11))", "solution_steps": ["13 − 11 = 2", "7 × 2 = 14", "4 + 14 = 18", "8 × 18 = 144", "3 + 144 = 147"], "key": "three-digit-147-7♥4♥J♣8♠K♥3♣"} {"id": "train-three-digit-0548", "level": "three-digit", "target": 898, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "7 * (10 * (7 + 7) - 10) - 12", "solution_steps": ["7 + 7 = 14", "10 × 14 = 140", "140 − 10 = 130", "7 × 130 = 910", "910 − 12 = 898"], "key": "three-digit-898-10♥Q♣10♦7♥7♣7♠"} {"id": "train-three-digit-0549", "level": "three-digit", "target": 864, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 * 8 * (5 * 7 + 13 / 13)", "solution_steps": ["5 × 7 = 35", "13 ÷ 13 = 1", "35 + 1 = 36", "8 × 36 = 288", "3 × 288 = 864"], "key": "three-digit-864-K♠K♦3♣7♣5♣8♥"} {"id": "train-three-digit-0550", "level": "three-digit", "target": 388, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 5 * 6 * 13 - 3 - 1", "solution_steps": ["6 × 13 = 78", "5 × 78 = 390", "390 − 3 = 387", "2 + 387 = 389", "389 − 1 = 388"], "key": "three-digit-388-5♥K♣A♣6♠2♥3♠"} {"id": "train-three-digit-0551", "level": "three-digit", "target": 186, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 11 + 3 * 10 + 12 * 12", "solution_steps": ["3 × 10 = 30", "12 × 12 = 144", "30 + 144 = 174", "11 + 174 = 185", "1 + 185 = 186"], "key": "three-digit-186-A♣Q♥10♥J♦Q♠3♣"} {"id": "train-three-digit-0552", "level": "three-digit", "target": 546, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 3 + 5 * 10 * 11 - 9", "solution_steps": ["10 × 11 = 110", "5 × 110 = 550", "550 − 9 = 541", "3 + 541 = 544", "2 + 544 = 546"], "key": "three-digit-546-9♥5♥3♥2♣J♠10♣"} {"id": "train-three-digit-0553", "level": "three-digit", "target": 772, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "12 * (7 + 6 * 11 - 8) - 8", "solution_steps": ["6 × 11 = 66", "66 − 8 = 58", "7 + 58 = 65", "12 × 65 = 780", "780 − 8 = 772"], "key": "three-digit-772-8♦7♦6♥Q♠J♦8♠"} {"id": "train-three-digit-0554", "level": "three-digit", "target": 666, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 * 9 * (11 * 12 / 3 - 7)", "solution_steps": ["11 × 12 = 132", "132 ÷ 3 = 44", "44 − 7 = 37", "9 × 37 = 333", "2 × 333 = 666"], "key": "three-digit-666-Q♠2♠3♥J♥7♦9♣"} {"id": "train-three-digit-0555", "level": "three-digit", "target": 587, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 10 + 8 * 9 * (12 - 4)", "solution_steps": ["12 − 4 = 8", "9 × 8 = 72", "8 × 72 = 576", "10 + 576 = 586", "1 + 586 = 587"], "key": "three-digit-587-9♠10♦8♣A♦Q♦4♦"} {"id": "train-three-digit-0556", "level": "three-digit", "target": 269, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 3 + 8 * 11 * (6 - 3)", "solution_steps": ["6 − 3 = 3", "11 × 3 = 33", "8 × 33 = 264", "3 + 264 = 267", "2 + 267 = 269"], "key": "three-digit-269-3♠J♥6♠2♠3♣8♥"} {"id": "train-three-digit-0557", "level": "three-digit", "target": 956, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + 4 + 10 * (9 * 12 - 13)", "solution_steps": ["9 × 12 = 108", "108 − 13 = 95", "10 × 95 = 950", "4 + 950 = 954", "2 + 954 = 956"], "key": "three-digit-956-10♠2♠K♦4♠Q♠9♠"} {"id": "train-three-digit-0558", "level": "three-digit", "target": 411, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "11 * (7 + 6 * 6 - 5) - 7", "solution_steps": ["6 × 6 = 36", "7 + 36 = 43", "43 − 5 = 38", "11 × 38 = 418", "418 − 7 = 411"], "key": "three-digit-411-6♥6♣7♠7♦5♣J♠"} {"id": "train-three-digit-0559", "level": "three-digit", "target": 913, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 10 * (1 + 9 * (4 + 6))", "solution_steps": ["4 + 6 = 10", "9 × 10 = 90", "1 + 90 = 91", "10 × 91 = 910", "3 + 910 = 913"], "key": "three-digit-913-A♦3♣10♠9♦4♣6♥"} {"id": "train-three-digit-0560", "level": "three-digit", "target": 426, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "3 + 9 * (11 + 11 + 12 + 13)", "solution_steps": ["12 + 13 = 25", "11 + 25 = 36", "11 + 36 = 47", "9 × 47 = 423", "3 + 423 = 426"], "key": "three-digit-426-Q♠9♠3♦J♠J♣K♥"} {"id": "train-three-digit-0561", "level": "three-digit", "target": 284, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "7 + 9 + 12 * (10 + 13) - 8", "solution_steps": ["10 + 13 = 23", "12 × 23 = 276", "9 + 276 = 285", "285 − 8 = 277", "7 + 277 = 284"], "key": "three-digit-284-9♠7♥Q♥K♣10♦8♥"} {"id": "train-three-digit-0562", "level": "three-digit", "target": 665, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "3 + 11 * (13 + 6 * 8) - 9", "solution_steps": ["6 × 8 = 48", "13 + 48 = 61", "11 × 61 = 671", "671 − 9 = 662", "3 + 662 = 665"], "key": "three-digit-665-3♥K♥J♥6♠8♦9♥"} {"id": "train-three-digit-0563", "level": "three-digit", "target": 720, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "4 * 9 * (9 * 10 - 7 * 10)", "solution_steps": ["9 × 10 = 90", "7 × 10 = 70", "90 − 70 = 20", "9 × 20 = 180", "4 × 180 = 720"], "key": "three-digit-720-4♦9♣7♠10♣9♦10♦"} {"id": "train-three-digit-0564", "level": "three-digit", "target": 906, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "4 * (12 * (8 + 11) - 1) - 2", "solution_steps": ["8 + 11 = 19", "12 × 19 = 228", "228 − 1 = 227", "4 × 227 = 908", "908 − 2 = 906"], "key": "three-digit-906-2♣J♦8♠Q♣4♥A♣"} {"id": "train-three-digit-0565", "level": "three-digit", "target": 199, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 2 * (8 + 10 + 9 * 9)", "solution_steps": ["9 × 9 = 81", "10 + 81 = 91", "8 + 91 = 99", "2 × 99 = 198", "1 + 198 = 199"], "key": "three-digit-199-10♠9♥8♥A♦2♠9♦"} {"id": "train-three-digit-0566", "level": "three-digit", "target": 200, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "(4 + 7) * (7 + 12) - 8 - 1", "solution_steps": ["4 + 7 = 11", "7 + 12 = 19", "11 × 19 = 209", "209 − 8 = 201", "201 − 1 = 200"], "key": "three-digit-200-7♠Q♠7♣A♦4♥8♥"} {"id": "train-three-digit-0567", "level": "three-digit", "target": 156, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "9 + 10 * (6 + 10) - 8 - 5", "solution_steps": ["6 + 10 = 16", "10 × 16 = 160", "9 + 160 = 169", "169 − 8 = 161", "161 − 5 = 156"], "key": "three-digit-156-10♠9♣10♣5♥6♣8♠"} {"id": "train-three-digit-0568", "level": "three-digit", "target": 480, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "4 * (9 + 9) * (10 + 10) / 3", "solution_steps": ["9 + 9 = 18", "10 + 10 = 20", "18 × 20 = 360", "4 × 360 = 1440", "1440 ÷ 3 = 480"], "key": "three-digit-480-10♥9♥3♣10♠4♦9♣"} {"id": "train-three-digit-0569", "level": "three-digit", "target": 768, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "7 + 9 + 8 * (3 + 7 * 13)", "solution_steps": ["7 × 13 = 91", "3 + 91 = 94", "8 × 94 = 752", "9 + 752 = 761", "7 + 761 = 768"], "key": "three-digit-768-K♣3♠9♥7♥8♥7♣"} {"id": "train-three-digit-0570", "level": "three-digit", "target": 625, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "4 + 10 * (7 + 7 * 8) - 9", "solution_steps": ["7 × 8 = 56", "7 + 56 = 63", "10 × 63 = 630", "630 − 9 = 621", "4 + 621 = 625"], "key": "three-digit-625-7♠9♣8♥4♠10♥7♣"} {"id": "train-three-digit-0571", "level": "three-digit", "target": 810, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "9 * (10 * 10 - 8) - 13 - 5", "solution_steps": ["10 × 10 = 100", "100 − 8 = 92", "9 × 92 = 828", "828 − 13 = 815", "815 − 5 = 810"], "key": "three-digit-810-8♦K♥5♣10♥10♦9♣"} {"id": "train-three-digit-0572", "level": "three-digit", "target": 704, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "7 * (11 * (5 + 5) - 9) - 3", "solution_steps": ["5 + 5 = 10", "11 × 10 = 110", "110 − 9 = 101", "7 × 101 = 707", "707 − 3 = 704"], "key": "three-digit-704-J♥3♦5♥9♠5♠7♥"} {"id": "train-three-digit-0573", "level": "three-digit", "target": 743, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 13 * (6 * (4 + 6) - 3)", "solution_steps": ["4 + 6 = 10", "6 × 10 = 60", "60 − 3 = 57", "13 × 57 = 741", "2 + 741 = 743"], "key": "three-digit-743-6♠6♣K♠4♣2♦3♠"} {"id": "train-three-digit-0574", "level": "three-digit", "target": 141, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "6 + 8 + 9 + 10 * 13 - 12", "solution_steps": ["10 × 13 = 130", "130 − 12 = 118", "9 + 118 = 127", "8 + 127 = 135", "6 + 135 = 141"], "key": "three-digit-141-K♣8♦6♥10♦9♦Q♠"} {"id": "train-three-digit-0575", "level": "three-digit", "target": 520, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "10 + 9 * (7 * 9 - 6) - 3", "solution_steps": ["7 × 9 = 63", "63 − 6 = 57", "9 × 57 = 513", "10 + 513 = 523", "523 − 3 = 520"], "key": "three-digit-520-10♦9♦6♠9♠3♥7♠"} {"id": "train-three-digit-0576", "level": "three-digit", "target": 796, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 5 * (3 * 6 * 9 - 3)", "solution_steps": ["6 × 9 = 54", "3 × 54 = 162", "162 − 3 = 159", "5 × 159 = 795", "1 + 795 = 796"], "key": "three-digit-796-9♠5♣3♦3♣A♣6♣"} {"id": "train-three-digit-0577", "level": "three-digit", "target": 101, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 8 * (13 + 3 * 4) / 2", "solution_steps": ["3 × 4 = 12", "13 + 12 = 25", "8 × 25 = 200", "200 ÷ 2 = 100", "1 + 100 = 101"], "key": "three-digit-101-3♥4♠2♥A♠8♣K♣"} {"id": "train-three-digit-0578", "level": "three-digit", "target": 872, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "12 + 10 * (9 * 12 - 11 - 11)", "solution_steps": ["9 × 12 = 108", "108 − 11 = 97", "97 − 11 = 86", "10 × 86 = 860", "12 + 860 = 872"], "key": "three-digit-872-J♣10♠Q♥9♦Q♣J♠"} {"id": "train-three-digit-0579", "level": "three-digit", "target": 972, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "5 * (9 * (10 + 13) - 11) - 8", "solution_steps": ["10 + 13 = 23", "9 × 23 = 207", "207 − 11 = 196", "5 × 196 = 980", "980 − 8 = 972"], "key": "three-digit-972-8♦10♣9♣J♦K♥5♦"} {"id": "train-three-digit-0580", "level": "three-digit", "target": 928, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 * 8 * (10 + 6 * (11 - 3))", "solution_steps": ["11 − 3 = 8", "6 × 8 = 48", "10 + 48 = 58", "8 × 58 = 464", "2 × 464 = 928"], "key": "three-digit-928-10♦8♣6♦3♠J♥2♦"} {"id": "train-three-digit-0581", "level": "three-digit", "target": 229, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 9 * (11 + 5 * 13) / 3", "solution_steps": ["5 × 13 = 65", "11 + 65 = 76", "9 × 76 = 684", "684 ÷ 3 = 228", "1 + 228 = 229"], "key": "three-digit-229-5♣A♣3♦9♠J♦K♦"} {"id": "train-three-digit-0582", "level": "three-digit", "target": 924, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 * 3 * 7 * (8 + 4 * 9)", "solution_steps": ["4 × 9 = 36", "8 + 36 = 44", "7 × 44 = 308", "3 × 308 = 924", "1 × 924 = 924"], "key": "three-digit-924-4♣8♦9♥3♣A♠7♣"} {"id": "train-three-digit-0583", "level": "three-digit", "target": 831, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 10 * (7 + 10 + 6 * 11)", "solution_steps": ["6 × 11 = 66", "10 + 66 = 76", "7 + 76 = 83", "10 × 83 = 830", "1 + 830 = 831"], "key": "three-digit-831-7♣6♦10♦J♣10♠A♠"} {"id": "train-three-digit-0584", "level": "three-digit", "target": 445, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "5 + 2 * (7 * 11 + 11 * 13)", "solution_steps": ["7 × 11 = 77", "11 × 13 = 143", "77 + 143 = 220", "2 × 220 = 440", "5 + 440 = 445"], "key": "three-digit-445-5♦7♣K♥J♥J♦2♠"} {"id": "train-three-digit-0585", "level": "three-digit", "target": 764, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "13 * (11 + 8 * (2 + 4)) - 3", "solution_steps": ["2 + 4 = 6", "8 × 6 = 48", "11 + 48 = 59", "13 × 59 = 767", "767 − 3 = 764"], "key": "three-digit-764-J♦K♥8♥2♥4♥3♣"} {"id": "train-three-digit-0586", "level": "three-digit", "target": 558, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 + 3 * (9 + 11 * (6 + 10))", "solution_steps": ["6 + 10 = 16", "11 × 16 = 176", "9 + 176 = 185", "3 × 185 = 555", "3 + 555 = 558"], "key": "three-digit-558-3♣6♠3♦9♦10♦J♣"} {"id": "train-three-digit-0587", "level": "three-digit", "target": 693, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "9 + 10 * (13 + 7 * 8) - 6", "solution_steps": ["7 × 8 = 56", "13 + 56 = 69", "10 × 69 = 690", "9 + 690 = 699", "699 − 6 = 693"], "key": "three-digit-693-7♥8♦K♦9♦10♥6♦"} {"id": "train-three-digit-0588", "level": "three-digit", "target": 968, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "8 * (1 + 5 * 8 * (1 + 2))", "solution_steps": ["1 + 2 = 3", "8 × 3 = 24", "5 × 24 = 120", "1 + 120 = 121", "8 × 121 = 968"], "key": "three-digit-968-8♣A♥2♦5♠A♦8♠"} {"id": "train-three-digit-0589", "level": "three-digit", "target": 621, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "9 + 7 * (9 * 10 - 2) - 4", "solution_steps": ["9 × 10 = 90", "90 − 2 = 88", "7 × 88 = 616", "9 + 616 = 625", "625 − 4 = 621"], "key": "three-digit-621-10♥7♣9♠9♦2♦4♣"} {"id": "train-three-digit-0590", "level": "three-digit", "target": 954, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "9 * (1 + 3 * (11 + 2 * 12))", "solution_steps": ["2 × 12 = 24", "11 + 24 = 35", "3 × 35 = 105", "1 + 105 = 106", "9 × 106 = 954"], "key": "three-digit-954-A♥3♥2♥Q♣J♣9♥"} {"id": "train-three-digit-0591", "level": "three-digit", "target": 123, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 4 + 5 * 8 + 6 * 13", "solution_steps": ["5 × 8 = 40", "6 × 13 = 78", "40 + 78 = 118", "4 + 118 = 122", "1 + 122 = 123"], "key": "three-digit-123-K♥5♥6♥4♠A♠8♦"} {"id": "train-three-digit-0592", "level": "three-digit", "target": 528, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "5 * (13 + 8 * 12) - 10 - 7", "solution_steps": ["8 × 12 = 96", "13 + 96 = 109", "5 × 109 = 545", "545 − 10 = 535", "535 − 7 = 528"], "key": "three-digit-528-7♥5♣10♦Q♥K♦8♣"} {"id": "train-three-digit-0593", "level": "three-digit", "target": 407, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + 9 * (10 + 7 * (11 - 6))", "solution_steps": ["11 − 6 = 5", "7 × 5 = 35", "10 + 35 = 45", "9 × 45 = 405", "2 + 405 = 407"], "key": "three-digit-407-10♣9♣J♦6♣2♣7♣"} {"id": "train-three-digit-0594", "level": "three-digit", "target": 273, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 4 * 6 * 12 - 13 - 5", "solution_steps": ["6 × 12 = 72", "4 × 72 = 288", "288 − 13 = 275", "275 − 5 = 270", "3 + 270 = 273"], "key": "three-digit-273-5♦4♦Q♣6♥K♥3♠"} {"id": "train-three-digit-0595", "level": "three-digit", "target": 199, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 2 * (7 + 8 * 12 - 4)", "solution_steps": ["8 × 12 = 96", "7 + 96 = 103", "103 − 4 = 99", "2 × 99 = 198", "1 + 198 = 199"], "key": "three-digit-199-4♦A♣8♥Q♠2♣7♦"} {"id": "train-three-digit-0596", "level": "three-digit", "target": 128, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 11 + 6 * (8 + 12) - 5", "solution_steps": ["8 + 12 = 20", "6 × 20 = 120", "11 + 120 = 131", "131 − 5 = 126", "2 + 126 = 128"], "key": "three-digit-128-8♣6♦Q♠2♥5♥J♥"} {"id": "train-three-digit-0597", "level": "three-digit", "target": 855, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "8 * (12 * (1 + 9) - 13) - 1", "solution_steps": ["1 + 9 = 10", "12 × 10 = 120", "120 − 13 = 107", "8 × 107 = 856", "856 − 1 = 855"], "key": "three-digit-855-A♣K♦8♠9♥A♠Q♦"} {"id": "train-three-digit-0598", "level": "three-digit", "target": 461, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "9 + (8 + 13) * (10 + 12) - 10", "solution_steps": ["8 + 13 = 21", "10 + 12 = 22", "21 × 22 = 462", "462 − 10 = 452", "9 + 452 = 461"], "key": "three-digit-461-10♥Q♥K♦10♣8♠9♥"} {"id": "train-three-digit-0599", "level": "three-digit", "target": 438, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "10 * (7 * 9 - 12 - 7) - 2", "solution_steps": ["7 × 9 = 63", "63 − 12 = 51", "51 − 7 = 44", "10 × 44 = 440", "440 − 2 = 438"], "key": "three-digit-438-7♣9♥7♥10♠Q♠2♠"} {"id": "train-three-digit-0600", "level": "three-digit", "target": 703, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "4 + 8 * 8 * (2 + 9) - 5", "solution_steps": ["2 + 9 = 11", "8 × 11 = 88", "8 × 88 = 704", "704 − 5 = 699", "4 + 699 = 703"], "key": "three-digit-703-5♠4♦9♦8♣8♥2♥"} {"id": "train-three-digit-0601", "level": "three-digit", "target": 613, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "2 + 13 * (4 * (5 + 9) - 9)", "solution_steps": ["5 + 9 = 14", "4 × 14 = 56", "56 − 9 = 47", "13 × 47 = 611", "2 + 611 = 613"], "key": "three-digit-613-4♥9♥K♣9♦2♠5♠"} {"id": "train-three-digit-0602", "level": "three-digit", "target": 646, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "11 * (4 + 6 * 10 - 5) - 3", "solution_steps": ["6 × 10 = 60", "60 − 5 = 55", "4 + 55 = 59", "11 × 59 = 649", "649 − 3 = 646"], "key": "three-digit-646-4♥6♣10♦3♣J♥5♠"} {"id": "train-three-digit-0603", "level": "three-digit", "target": 691, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "7 * (11 + 4 * (10 + 12)) - 2", "solution_steps": ["10 + 12 = 22", "4 × 22 = 88", "11 + 88 = 99", "7 × 99 = 693", "693 − 2 = 691"], "key": "three-digit-691-10♦7♣Q♥J♦4♥2♠"} {"id": "train-three-digit-0604", "level": "three-digit", "target": 454, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 * (12 * (4 * 11 - 6) - 2)", "solution_steps": ["4 × 11 = 44", "44 − 6 = 38", "12 × 38 = 456", "456 − 2 = 454", "1 × 454 = 454"], "key": "three-digit-454-A♦2♠6♥4♥Q♣J♥"} {"id": "train-three-digit-0605", "level": "three-digit", "target": 150, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 7 + 10 * (12 + 8 / 4)", "solution_steps": ["8 ÷ 4 = 2", "12 + 2 = 14", "10 × 14 = 140", "7 + 140 = 147", "3 + 147 = 150"], "key": "three-digit-150-Q♦4♠3♥10♦7♣8♦"} {"id": "train-three-digit-0606", "level": "three-digit", "target": 768, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "(5 + 7) * (9 * 9 - 13 - 4)", "solution_steps": ["5 + 7 = 12", "9 × 9 = 81", "81 − 13 = 68", "68 − 4 = 64", "12 × 64 = 768"], "key": "three-digit-768-4♦7♠K♦9♥5♠9♦"} {"id": "train-three-digit-0607", "level": "three-digit", "target": 813, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "(12 + 12) * (7 + 3 * 9) - 3", "solution_steps": ["12 + 12 = 24", "3 × 9 = 27", "7 + 27 = 34", "24 × 34 = 816", "816 − 3 = 813"], "key": "three-digit-813-3♦Q♣3♥Q♠7♣9♦"} {"id": "train-three-digit-0608", "level": "three-digit", "target": 928, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "8 * (4 + 9 * (5 + 8) - 5)", "solution_steps": ["5 + 8 = 13", "9 × 13 = 117", "117 − 5 = 112", "4 + 112 = 116", "8 × 116 = 928"], "key": "three-digit-928-5♥8♦9♥8♣5♦4♣"} {"id": "train-three-digit-0609", "level": "three-digit", "target": 899, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "10 * (13 * (11 - 4) - 1) - 1", "solution_steps": ["11 − 4 = 7", "13 × 7 = 91", "91 − 1 = 90", "10 × 90 = 900", "900 − 1 = 899"], "key": "three-digit-899-4♥A♦A♣10♦J♦K♠"} {"id": "train-three-digit-0610", "level": "three-digit", "target": 186, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 + 10 * (9 + 11) - 12 - 4", "solution_steps": ["9 + 11 = 20", "10 × 20 = 200", "200 − 12 = 188", "188 − 4 = 184", "2 + 184 = 186"], "key": "three-digit-186-2♠9♦Q♣J♦4♠10♠"} {"id": "train-three-digit-0611", "level": "three-digit", "target": 917, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 * 9 * (10 + 12 + 12) - 1", "solution_steps": ["12 + 12 = 24", "10 + 24 = 34", "9 × 34 = 306", "3 × 306 = 918", "918 − 1 = 917"], "key": "three-digit-917-3♦9♥Q♠A♦10♣Q♦"} {"id": "train-three-digit-0612", "level": "three-digit", "target": 403, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 * 7 + 5 * 6 * 13 - 1", "solution_steps": ["2 × 7 = 14", "6 × 13 = 78", "5 × 78 = 390", "14 + 390 = 404", "404 − 1 = 403"], "key": "three-digit-403-2♦K♠A♠5♣6♠7♣"} {"id": "train-three-digit-0613", "level": "three-digit", "target": 657, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "12 + 4 * 9 * (5 + 13) - 3", "solution_steps": ["5 + 13 = 18", "9 × 18 = 162", "4 × 162 = 648", "12 + 648 = 660", "660 − 3 = 657"], "key": "three-digit-657-9♠K♣4♥3♦Q♦5♣"} {"id": "train-three-digit-0614", "level": "three-digit", "target": 833, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 13 * (7 * 12 - 2 * 10)", "solution_steps": ["7 × 12 = 84", "2 × 10 = 20", "84 − 20 = 64", "13 × 64 = 832", "1 + 832 = 833"], "key": "three-digit-833-Q♠7♣A♠10♣2♠K♦"} {"id": "train-three-digit-0615", "level": "three-digit", "target": 966, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "3 * 7 * (13 + 3 * (12 - 1))", "solution_steps": ["12 − 1 = 11", "3 × 11 = 33", "13 + 33 = 46", "7 × 46 = 322", "3 × 322 = 966"], "key": "three-digit-966-3♥K♣Q♦7♠3♦A♥"} {"id": "train-three-digit-0616", "level": "three-digit", "target": 176, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 2 + 7 + 11 * (6 + 9)", "solution_steps": ["6 + 9 = 15", "11 × 15 = 165", "7 + 165 = 172", "2 + 172 = 174", "2 + 174 = 176"], "key": "three-digit-176-2♣6♣2♥7♠J♣9♣"} {"id": "train-three-digit-0617", "level": "three-digit", "target": 201, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 10 + 12 * (8 + 8) - 3", "solution_steps": ["8 + 8 = 16", "12 × 16 = 192", "10 + 192 = 202", "202 − 3 = 199", "2 + 199 = 201"], "key": "three-digit-201-3♦Q♦8♠8♥2♦10♣"} {"id": "train-three-digit-0618", "level": "three-digit", "target": 586, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "13 * (11 + 5 * (13 - 6)) - 12", "solution_steps": ["13 − 6 = 7", "5 × 7 = 35", "11 + 35 = 46", "13 × 46 = 598", "598 − 12 = 586"], "key": "three-digit-586-J♠Q♣K♥5♦6♣K♣"} {"id": "train-three-digit-0619", "level": "three-digit", "target": 431, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "9 * 12 * (7 - 3) - 12 / 12", "solution_steps": ["7 − 3 = 4", "12 × 4 = 48", "9 × 48 = 432", "12 ÷ 12 = 1", "432 − 1 = 431"], "key": "three-digit-431-Q♥Q♣3♦Q♠9♦7♠"} {"id": "train-three-digit-0620", "level": "three-digit", "target": 795, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "2 + 3 + 10 * (7 + 6 * 12)", "solution_steps": ["6 × 12 = 72", "7 + 72 = 79", "10 × 79 = 790", "3 + 790 = 793", "2 + 793 = 795"], "key": "three-digit-795-2♣7♠3♦10♦6♦Q♣"} {"id": "train-three-digit-0621", "level": "three-digit", "target": 175, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "4 + 6 * (9 + 9 + 11) - 3", "solution_steps": ["9 + 11 = 20", "9 + 20 = 29", "6 × 29 = 174", "4 + 174 = 178", "178 − 3 = 175"], "key": "three-digit-175-9♣3♥4♣J♥9♠6♠"} {"id": "train-three-digit-0622", "level": "three-digit", "target": 726, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 5 + 10 * (12 + 5 * 12)", "solution_steps": ["5 × 12 = 60", "12 + 60 = 72", "10 × 72 = 720", "5 + 720 = 725", "1 + 725 = 726"], "key": "three-digit-726-5♣10♣A♦5♦Q♣Q♥"} {"id": "train-three-digit-0623", "level": "three-digit", "target": 802, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "12 * (4 + 9 * (1 + 6)) - 2", "solution_steps": ["1 + 6 = 7", "9 × 7 = 63", "4 + 63 = 67", "12 × 67 = 804", "804 − 2 = 802"], "key": "three-digit-802-9♠A♣2♦6♦Q♠4♦"} {"id": "train-three-digit-0624", "level": "three-digit", "target": 394, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "7 + 11 * (10 + 13 + 13) - 9", "solution_steps": ["13 + 13 = 26", "10 + 26 = 36", "11 × 36 = 396", "396 − 9 = 387", "7 + 387 = 394"], "key": "three-digit-394-10♦7♠K♦K♣J♠9♥"} {"id": "train-three-digit-0625", "level": "three-digit", "target": 481, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 13 * (10 + 3 * 9) - 2", "solution_steps": ["3 × 9 = 27", "10 + 27 = 37", "13 × 37 = 481", "481 − 2 = 479", "2 + 479 = 481"], "key": "three-digit-481-2♥K♦2♣9♣3♥10♣"} {"id": "train-three-digit-0626", "level": "three-digit", "target": 556, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 * ((6 + 9) * (6 + 13) - 7)", "solution_steps": ["6 + 9 = 15", "6 + 13 = 19", "15 × 19 = 285", "285 − 7 = 278", "2 × 278 = 556"], "key": "three-digit-556-6♣K♥7♦6♦2♦9♦"} {"id": "train-three-digit-0627", "level": "three-digit", "target": 767, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "(1 + 12) * (9 + 10 * 10 / 2)", "solution_steps": ["1 + 12 = 13", "10 × 10 = 100", "100 ÷ 2 = 50", "9 + 50 = 59", "13 × 59 = 767"], "key": "three-digit-767-Q♣10♠A♥2♥10♥9♥"} {"id": "train-three-digit-0628", "level": "three-digit", "target": 166, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 + 5 + 5 + 8 * (7 + 12)", "solution_steps": ["7 + 12 = 19", "8 × 19 = 152", "5 + 152 = 157", "5 + 157 = 162", "4 + 162 = 166"], "key": "three-digit-166-5♠7♥8♠5♦Q♠4♦"} {"id": "train-three-digit-0629", "level": "three-digit", "target": 745, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "4 + 13 * (1 + 5 * 12 - 4)", "solution_steps": ["5 × 12 = 60", "60 − 4 = 56", "1 + 56 = 57", "13 × 57 = 741", "4 + 741 = 745"], "key": "three-digit-745-4♣4♦A♠K♥5♠Q♦"} {"id": "train-three-digit-0630", "level": "three-digit", "target": 137, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 13 + 8 * (2 + 13)", "solution_steps": ["2 + 13 = 15", "8 × 15 = 120", "13 + 120 = 133", "2 + 133 = 135", "2 + 135 = 137"], "key": "three-digit-137-8♦2♦K♠2♠K♣2♣"} {"id": "train-three-digit-0631", "level": "three-digit", "target": 229, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 8 + 10 * (10 + 13 - 1)", "solution_steps": ["10 + 13 = 23", "23 − 1 = 22", "10 × 22 = 220", "8 + 220 = 228", "1 + 228 = 229"], "key": "three-digit-229-K♠10♣10♥A♦8♥A♥"} {"id": "train-three-digit-0632", "level": "three-digit", "target": 466, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 4 * 9 + 3 * 11 * 13", "solution_steps": ["4 × 9 = 36", "11 × 13 = 143", "3 × 143 = 429", "36 + 429 = 465", "1 + 465 = 466"], "key": "three-digit-466-3♣A♣K♠9♦4♥J♣"} {"id": "train-three-digit-0633", "level": "three-digit", "target": 898, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "7 + 3 * 9 * (1 + 4 * 8)", "solution_steps": ["4 × 8 = 32", "1 + 32 = 33", "9 × 33 = 297", "3 × 297 = 891", "7 + 891 = 898"], "key": "three-digit-898-A♠3♥8♥9♣7♦4♠"} {"id": "train-three-digit-0634", "level": "three-digit", "target": 137, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "4 * (7 - 1) * (7 - 1) - 7", "solution_steps": ["7 − 1 = 6", "7 − 1 = 6", "6 × 6 = 36", "4 × 36 = 144", "144 − 7 = 137"], "key": "three-digit-137-4♣7♥A♠A♣7♣7♠"} {"id": "train-three-digit-0635", "level": "three-digit", "target": 125, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 3 + 11 * (8 + 12 - 9)", "solution_steps": ["12 − 9 = 3", "8 + 3 = 11", "11 × 11 = 121", "3 + 121 = 124", "1 + 124 = 125"], "key": "three-digit-125-J♣Q♥8♦A♦9♣3♦"} {"id": "train-three-digit-0636", "level": "three-digit", "target": 464, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "3 + 12 * (5 * 10 - 11) - 7", "solution_steps": ["5 × 10 = 50", "50 − 11 = 39", "12 × 39 = 468", "468 − 7 = 461", "3 + 461 = 464"], "key": "three-digit-464-10♠Q♦3♠J♠5♣7♣"} {"id": "train-three-digit-0637", "level": "three-digit", "target": 745, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "4 + 13 * (9 + 8 * (11 - 5))", "solution_steps": ["11 − 5 = 6", "8 × 6 = 48", "9 + 48 = 57", "13 × 57 = 741", "4 + 741 = 745"], "key": "three-digit-745-4♦8♥J♦5♥9♦K♣"} {"id": "train-three-digit-0638", "level": "three-digit", "target": 120, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 9 + 6 * (9 + 10) - 5", "solution_steps": ["9 + 10 = 19", "6 × 19 = 114", "9 + 114 = 123", "123 − 5 = 118", "2 + 118 = 120"], "key": "three-digit-120-6♥9♥10♥2♠5♠9♣"} {"id": "train-three-digit-0639", "level": "three-digit", "target": 552, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "8 * (1 + 12 + 8 * (8 - 1))", "solution_steps": ["8 − 1 = 7", "8 × 7 = 56", "12 + 56 = 68", "1 + 68 = 69", "8 × 69 = 552"], "key": "three-digit-552-Q♣A♠8♦A♦8♠8♣"} {"id": "train-three-digit-0640", "level": "three-digit", "target": 591, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 6 + 8 * (13 + 5 * 12)", "solution_steps": ["5 × 12 = 60", "13 + 60 = 73", "8 × 73 = 584", "6 + 584 = 590", "1 + 590 = 591"], "key": "three-digit-591-K♣Q♣6♠8♠5♥A♠"} {"id": "train-three-digit-0641", "level": "three-digit", "target": 498, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 * (3 * (13 + 8 * 9) - 6)", "solution_steps": ["8 × 9 = 72", "13 + 72 = 85", "3 × 85 = 255", "255 − 6 = 249", "2 × 249 = 498"], "key": "three-digit-498-6♠9♦2♣8♦3♥K♥"} {"id": "train-three-digit-0642", "level": "three-digit", "target": 977, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 8 * (2 * 5 * 13 - 8)", "solution_steps": ["5 × 13 = 65", "2 × 65 = 130", "130 − 8 = 122", "8 × 122 = 976", "1 + 976 = 977"], "key": "three-digit-977-2♥8♠5♣8♥K♦A♠"} {"id": "train-three-digit-0643", "level": "three-digit", "target": 804, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "6 * (11 + 11 * 12 - 8 - 1)", "solution_steps": ["11 × 12 = 132", "11 + 132 = 143", "143 − 8 = 135", "135 − 1 = 134", "6 × 134 = 804"], "key": "three-digit-804-8♦A♦6♣J♦Q♦J♠"} {"id": "train-three-digit-0644", "level": "three-digit", "target": 642, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "6 * (11 * 12 - 2 * 12 - 1)", "solution_steps": ["11 × 12 = 132", "2 × 12 = 24", "132 − 24 = 108", "108 − 1 = 107", "6 × 107 = 642"], "key": "three-digit-642-J♣2♣Q♣A♠6♠Q♠"} {"id": "train-three-digit-0645", "level": "three-digit", "target": 868, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 * (13 * (9 + 12 + 13) - 8)", "solution_steps": ["12 + 13 = 25", "9 + 25 = 34", "13 × 34 = 442", "442 − 8 = 434", "2 × 434 = 868"], "key": "three-digit-868-2♥K♣Q♠8♥9♥K♥"} {"id": "train-three-digit-0646", "level": "three-digit", "target": 980, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 * 7 * 10 * (4 * 4 - 9)", "solution_steps": ["4 × 4 = 16", "16 − 9 = 7", "10 × 7 = 70", "7 × 70 = 490", "2 × 490 = 980"], "key": "three-digit-980-4♠10♥2♦4♣9♠7♦"} {"id": "train-three-digit-0647", "level": "three-digit", "target": 944, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "8 + 6 * 13 * (6 + 7 - 1)", "solution_steps": ["6 + 7 = 13", "13 − 1 = 12", "13 × 12 = 156", "6 × 156 = 936", "8 + 936 = 944"], "key": "three-digit-944-6♦K♠6♣7♥8♦A♠"} {"id": "train-three-digit-0648", "level": "three-digit", "target": 885, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + 2 * 7 * (6 * 12 - 9)", "solution_steps": ["6 × 12 = 72", "72 − 9 = 63", "7 × 63 = 441", "2 × 441 = 882", "3 + 882 = 885"], "key": "three-digit-885-6♣2♥7♥3♠9♥Q♥"} {"id": "train-three-digit-0649", "level": "three-digit", "target": 687, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + (2 + 12) * (5 * 11 - 6)", "solution_steps": ["2 + 12 = 14", "5 × 11 = 55", "55 − 6 = 49", "14 × 49 = 686", "1 + 686 = 687"], "key": "three-digit-687-2♥A♦J♦Q♥5♠6♠"} {"id": "train-three-digit-0650", "level": "three-digit", "target": 199, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "7 * (8 + 7 * (9 - 6)) - 4", "solution_steps": ["9 − 6 = 3", "7 × 3 = 21", "8 + 21 = 29", "7 × 29 = 203", "203 − 4 = 199"], "key": "three-digit-199-7♠7♥9♦8♠6♦4♠"} {"id": "train-three-digit-0651", "level": "three-digit", "target": 984, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 * 8 * (6 + 7 * (6 - 1))", "solution_steps": ["6 − 1 = 5", "7 × 5 = 35", "6 + 35 = 41", "8 × 41 = 328", "3 × 328 = 984"], "key": "three-digit-984-7♣6♠8♣6♣A♣3♠"} {"id": "train-three-digit-0652", "level": "three-digit", "target": 310, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "8 * 8 * (2 + 3) - 9 - 1", "solution_steps": ["2 + 3 = 5", "8 × 5 = 40", "8 × 40 = 320", "320 − 9 = 311", "311 − 1 = 310"], "key": "three-digit-310-3♠8♣9♠A♣8♦2♥"} {"id": "train-three-digit-0653", "level": "three-digit", "target": 735, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 * 3 * (5 + 10 * (11 + 13))", "solution_steps": ["11 + 13 = 24", "10 × 24 = 240", "5 + 240 = 245", "3 × 245 = 735", "1 × 735 = 735"], "key": "three-digit-735-J♦A♦K♥3♥5♥10♥"} {"id": "train-three-digit-0654", "level": "three-digit", "target": 252, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 * 3 * (3 + 4 * 12 - 9)", "solution_steps": ["4 × 12 = 48", "48 − 9 = 39", "3 + 39 = 42", "3 × 42 = 126", "2 × 126 = 252"], "key": "three-digit-252-3♣9♥2♣4♦Q♠3♦"} {"id": "train-three-digit-0655", "level": "three-digit", "target": 370, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 9 * (7 * 7 - 4 - 4)", "solution_steps": ["7 × 7 = 49", "49 − 4 = 45", "45 − 4 = 41", "9 × 41 = 369", "1 + 369 = 370"], "key": "three-digit-370-7♦4♦4♠7♥A♥9♦"} {"id": "train-three-digit-0656", "level": "three-digit", "target": 332, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 5 + 4 * 7 * 12 - 11", "solution_steps": ["7 × 12 = 84", "4 × 84 = 336", "336 − 11 = 325", "5 + 325 = 330", "2 + 330 = 332"], "key": "three-digit-332-5♦7♥J♦4♣2♣Q♦"} {"id": "train-three-digit-0657", "level": "three-digit", "target": 699, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "3 * (13 + 10 * (11 + 12 - 1))", "solution_steps": ["11 + 12 = 23", "23 − 1 = 22", "10 × 22 = 220", "13 + 220 = 233", "3 × 233 = 699"], "key": "three-digit-699-Q♣K♣10♦J♥3♣A♠"} {"id": "train-three-digit-0658", "level": "three-digit", "target": 851, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "8 * (8 + 9 * 12 - 9) - 5", "solution_steps": ["9 × 12 = 108", "108 − 9 = 99", "8 + 99 = 107", "8 × 107 = 856", "856 − 5 = 851"], "key": "three-digit-851-9♦Q♣8♣9♠5♠8♠"} {"id": "train-three-digit-0659", "level": "three-digit", "target": 327, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "(9 - 2) * (11 + 4 * 9) - 2", "solution_steps": ["9 − 2 = 7", "4 × 9 = 36", "11 + 36 = 47", "7 × 47 = 329", "329 − 2 = 327"], "key": "three-digit-327-9♣4♣2♣9♠2♠J♠"} {"id": "train-three-digit-0660", "level": "three-digit", "target": 606, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + (9 - 4) * (11 * 12 - 11)", "solution_steps": ["9 − 4 = 5", "11 × 12 = 132", "132 − 11 = 121", "5 × 121 = 605", "1 + 605 = 606"], "key": "three-digit-606-J♠A♠9♦4♥J♥Q♥"} {"id": "train-three-digit-0661", "level": "three-digit", "target": 938, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "4 + 11 * (13 + 8 * 9) - 1", "solution_steps": ["8 × 9 = 72", "13 + 72 = 85", "11 × 85 = 935", "4 + 935 = 939", "939 − 1 = 938"], "key": "three-digit-938-8♥9♠A♦4♥J♥K♣"} {"id": "train-three-digit-0662", "level": "three-digit", "target": 431, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 9 + 7 * 10 * (13 - 7)", "solution_steps": ["13 − 7 = 6", "10 × 6 = 60", "7 × 60 = 420", "9 + 420 = 429", "2 + 429 = 431"], "key": "three-digit-431-10♠2♠7♦7♥9♣K♦"} {"id": "train-three-digit-0663", "level": "three-digit", "target": 604, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "4 * (1 + 5 * 6 * (2 + 3))", "solution_steps": ["2 + 3 = 5", "6 × 5 = 30", "5 × 30 = 150", "1 + 150 = 151", "4 × 151 = 604"], "key": "three-digit-604-4♣A♠3♣2♥6♠5♦"} {"id": "train-three-digit-0664", "level": "three-digit", "target": 568, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 7 * (5 * (8 + 9) - 4)", "solution_steps": ["8 + 9 = 17", "5 × 17 = 85", "85 − 4 = 81", "7 × 81 = 567", "1 + 567 = 568"], "key": "three-digit-568-4♣A♥5♦9♠8♠7♦"} {"id": "train-three-digit-0665", "level": "three-digit", "target": 564, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 * (8 * 8 * (10 - 1) - 12)", "solution_steps": ["10 − 1 = 9", "8 × 9 = 72", "8 × 72 = 576", "576 − 12 = 564", "1 × 564 = 564"], "key": "three-digit-564-10♦8♠A♠8♥Q♠A♣"} {"id": "train-three-digit-0666", "level": "three-digit", "target": 654, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "5 + 2 * 13 * (12 + 13) - 1", "solution_steps": ["12 + 13 = 25", "13 × 25 = 325", "2 × 325 = 650", "5 + 650 = 655", "655 − 1 = 654"], "key": "three-digit-654-5♣K♠2♣K♦A♣Q♥"} {"id": "train-three-digit-0667", "level": "three-digit", "target": 643, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "5 * (4 * 13 + 7 * 11) - 2", "solution_steps": ["4 × 13 = 52", "7 × 11 = 77", "52 + 77 = 129", "5 × 129 = 645", "645 − 2 = 643"], "key": "three-digit-643-5♠4♣2♠K♠J♦7♥"} {"id": "train-three-digit-0668", "level": "three-digit", "target": 177, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + 10 + 8 * (11 + 11) - 12", "solution_steps": ["11 + 11 = 22", "8 × 22 = 176", "176 − 12 = 164", "10 + 164 = 174", "3 + 174 = 177"], "key": "three-digit-177-J♣8♠J♠3♦10♥Q♣"} {"id": "train-three-digit-0669", "level": "three-digit", "target": 305, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "13 * (12 + 13) - 11 - 5 - 4", "solution_steps": ["12 + 13 = 25", "13 × 25 = 325", "325 − 11 = 314", "314 − 5 = 309", "309 − 4 = 305"], "key": "three-digit-305-J♦Q♥5♥K♠4♥K♥"} {"id": "train-three-digit-0670", "level": "three-digit", "target": 687, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "2 * 8 * (4 * 12 - 5) - 1", "solution_steps": ["4 × 12 = 48", "48 − 5 = 43", "8 × 43 = 344", "2 × 344 = 688", "688 − 1 = 687"], "key": "three-digit-687-8♠5♣A♦2♥4♥Q♥"} {"id": "train-three-digit-0671", "level": "three-digit", "target": 520, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "(7 + 11) * (8 + 9 + 12) - 2", "solution_steps": ["7 + 11 = 18", "9 + 12 = 21", "8 + 21 = 29", "18 × 29 = 522", "522 − 2 = 520"], "key": "three-digit-520-7♠2♦8♦Q♠J♠9♠"} {"id": "train-three-digit-0672", "level": "three-digit", "target": 984, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "2 * 12 * (5 * 11 - 10 - 4)", "solution_steps": ["5 × 11 = 55", "55 − 10 = 45", "45 − 4 = 41", "12 × 41 = 492", "2 × 492 = 984"], "key": "three-digit-984-5♥10♠2♣4♣J♣Q♣"} {"id": "train-three-digit-0673", "level": "three-digit", "target": 637, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "9 * (6 + 6 * 11) - 10 - 1", "solution_steps": ["6 × 11 = 66", "6 + 66 = 72", "9 × 72 = 648", "648 − 10 = 638", "638 − 1 = 637"], "key": "three-digit-637-J♣6♣10♣A♥6♦9♦"} {"id": "train-three-digit-0674", "level": "three-digit", "target": 273, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 12 + 10 * 13 * (5 - 3)", "solution_steps": ["5 − 3 = 2", "13 × 2 = 26", "10 × 26 = 260", "12 + 260 = 272", "1 + 272 = 273"], "key": "three-digit-273-A♥3♥Q♠10♠K♥5♠"} {"id": "train-three-digit-0675", "level": "three-digit", "target": 580, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "4 + 3 * 6 * 8 * (10 - 6)", "solution_steps": ["10 − 6 = 4", "8 × 4 = 32", "6 × 32 = 192", "3 × 192 = 576", "4 + 576 = 580"], "key": "three-digit-580-10♥6♣8♥3♣4♣6♠"} {"id": "train-three-digit-0676", "level": "three-digit", "target": 324, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "2 * (12 + 5 * (5 * 8 - 10))", "solution_steps": ["5 × 8 = 40", "40 − 10 = 30", "5 × 30 = 150", "12 + 150 = 162", "2 × 162 = 324"], "key": "three-digit-324-5♠Q♦8♦2♠10♣5♣"} {"id": "train-three-digit-0677", "level": "three-digit", "target": 196, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "6 + 10 * (7 + 11 + 13 / 13)", "solution_steps": ["13 ÷ 13 = 1", "11 + 1 = 12", "7 + 12 = 19", "10 × 19 = 190", "6 + 190 = 196"], "key": "three-digit-196-J♦K♣K♦10♣6♠7♠"} {"id": "train-three-digit-0678", "level": "three-digit", "target": 891, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 * (3 + 8 * (12 + 9 * 11))", "solution_steps": ["9 × 11 = 99", "12 + 99 = 111", "8 × 111 = 888", "3 + 888 = 891", "1 × 891 = 891"], "key": "three-digit-891-J♥3♥Q♦A♦8♦9♥"} {"id": "train-three-digit-0679", "level": "three-digit", "target": 483, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 13 * (10 + 9 * (11 - 8))", "solution_steps": ["11 − 8 = 3", "9 × 3 = 27", "10 + 27 = 37", "13 × 37 = 481", "2 + 481 = 483"], "key": "three-digit-483-8♣K♥J♦2♦10♦9♦"} {"id": "train-three-digit-0680", "level": "three-digit", "target": 959, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "7 + (6 + 11) * (11 + 5 * 9)", "solution_steps": ["6 + 11 = 17", "5 × 9 = 45", "11 + 45 = 56", "17 × 56 = 952", "7 + 952 = 959"], "key": "three-digit-959-6♣J♠J♣5♣9♦7♣"} {"id": "train-three-digit-0681", "level": "three-digit", "target": 920, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 * 10 * (2 + 9 * (3 + 7))", "solution_steps": ["3 + 7 = 10", "9 × 10 = 90", "2 + 90 = 92", "10 × 92 = 920", "1 × 920 = 920"], "key": "three-digit-920-2♣3♠7♥10♣A♥9♣"} {"id": "train-three-digit-0682", "level": "three-digit", "target": 268, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 2 + 3 * 11 * (13 - 5)", "solution_steps": ["13 − 5 = 8", "11 × 8 = 88", "3 × 88 = 264", "2 + 264 = 266", "2 + 266 = 268"], "key": "three-digit-268-J♦K♥3♦2♥2♦5♦"} {"id": "train-three-digit-0683", "level": "three-digit", "target": 326, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 5 * (9 * (2 + 6) - 7)", "solution_steps": ["2 + 6 = 8", "9 × 8 = 72", "72 − 7 = 65", "5 × 65 = 325", "1 + 325 = 326"], "key": "three-digit-326-9♣7♣5♠6♦2♦A♦"} {"id": "train-three-digit-0684", "level": "three-digit", "target": 823, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "4 * 9 * (7 + 2 * 8) - 5", "solution_steps": ["2 × 8 = 16", "7 + 16 = 23", "9 × 23 = 207", "4 × 207 = 828", "828 − 5 = 823"], "key": "three-digit-823-5♥8♣7♥2♦9♣4♥"} {"id": "train-three-digit-0685", "level": "three-digit", "target": 827, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 3 * 11 * (5 * 7 - 10)", "solution_steps": ["5 × 7 = 35", "35 − 10 = 25", "11 × 25 = 275", "3 × 275 = 825", "2 + 825 = 827"], "key": "three-digit-827-10♥7♦2♠3♣5♦J♠"} {"id": "train-three-digit-0686", "level": "three-digit", "target": 645, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "13 * (6 + 7 * 7 - 5) - 5", "solution_steps": ["7 × 7 = 49", "6 + 49 = 55", "55 − 5 = 50", "13 × 50 = 650", "650 − 5 = 645"], "key": "three-digit-645-7♥K♣7♠6♦5♦5♠"} {"id": "train-three-digit-0687", "level": "three-digit", "target": 172, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 5 * 12 * (10 - 7) - 11", "solution_steps": ["10 − 7 = 3", "12 × 3 = 36", "5 × 36 = 180", "180 − 11 = 169", "3 + 169 = 172"], "key": "three-digit-172-J♠3♦Q♣10♥5♦7♦"} {"id": "train-three-digit-0688", "level": "three-digit", "target": 383, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 * 8 * (9 + 12 - 9) - 1", "solution_steps": ["9 + 12 = 21", "21 − 9 = 12", "8 × 12 = 96", "4 × 96 = 384", "384 − 1 = 383"], "key": "three-digit-383-8♦9♥Q♥A♣9♠4♦"} {"id": "train-three-digit-0689", "level": "three-digit", "target": 118, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 + 6 * 10 + 6 * 11 - 10", "solution_steps": ["6 × 10 = 60", "6 × 11 = 66", "60 + 66 = 126", "126 − 10 = 116", "2 + 116 = 118"], "key": "three-digit-118-2♣10♦6♠J♥6♥10♠"} {"id": "train-three-digit-0690", "level": "three-digit", "target": 460, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "6 * (9 * (11 - 1) - 12) - 8", "solution_steps": ["11 − 1 = 10", "9 × 10 = 90", "90 − 12 = 78", "6 × 78 = 468", "468 − 8 = 460"], "key": "three-digit-460-J♣8♥Q♣9♣A♦6♦"} {"id": "train-three-digit-0691", "level": "three-digit", "target": 719, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "5 + 12 + 9 * (8 * 11 - 10)", "solution_steps": ["8 × 11 = 88", "88 − 10 = 78", "9 × 78 = 702", "12 + 702 = 714", "5 + 714 = 719"], "key": "three-digit-719-8♣10♠9♦Q♦J♦5♠"} {"id": "train-three-digit-0692", "level": "three-digit", "target": 862, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 3 + 6 * 11 * (6 + 7)", "solution_steps": ["6 + 7 = 13", "11 × 13 = 143", "6 × 143 = 858", "3 + 858 = 861", "1 + 861 = 862"], "key": "three-digit-862-7♥J♥A♦3♣6♦6♥"} {"id": "train-three-digit-0693", "level": "three-digit", "target": 484, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "13 + 11 * (8 + 5 * 7) - 2", "solution_steps": ["5 × 7 = 35", "8 + 35 = 43", "11 × 43 = 473", "13 + 473 = 486", "486 − 2 = 484"], "key": "three-digit-484-7♦J♥K♠5♥8♦2♥"} {"id": "train-three-digit-0694", "level": "three-digit", "target": 327, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "6 + 9 + 10 * 12 * 13 / 5", "solution_steps": ["12 × 13 = 156", "10 × 156 = 1560", "1560 ÷ 5 = 312", "9 + 312 = 321", "6 + 321 = 327"], "key": "three-digit-327-6♦5♥Q♠K♣9♣10♦"} {"id": "train-three-digit-0695", "level": "three-digit", "target": 218, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 1 * 7 * (6 + 5 * 5)", "solution_steps": ["5 × 5 = 25", "6 + 25 = 31", "7 × 31 = 217", "1 × 217 = 217", "1 + 217 = 218"], "key": "three-digit-218-A♥5♦5♠A♦7♦6♣"} {"id": "train-three-digit-0696", "level": "three-digit", "target": 829, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "5 + 8 + 4 * 12 * (7 + 10)", "solution_steps": ["7 + 10 = 17", "12 × 17 = 204", "4 × 204 = 816", "8 + 816 = 824", "5 + 824 = 829"], "key": "three-digit-829-4♥Q♣5♠8♠7♠10♥"} {"id": "train-three-digit-0697", "level": "three-digit", "target": 604, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "12 * (5 * 11 - 4) - 6 - 2", "solution_steps": ["5 × 11 = 55", "55 − 4 = 51", "12 × 51 = 612", "612 − 6 = 606", "606 − 2 = 604"], "key": "three-digit-604-2♥5♦6♠Q♣J♥4♥"} {"id": "train-three-digit-0698", "level": "three-digit", "target": 972, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "4 * ((6 + 6) * (10 + 11) - 9)", "solution_steps": ["6 + 6 = 12", "10 + 11 = 21", "12 × 21 = 252", "252 − 9 = 243", "4 × 243 = 972"], "key": "three-digit-972-10♠6♦9♠4♠J♠6♣"} {"id": "train-three-digit-0699", "level": "three-digit", "target": 995, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 6 * 13 * 13 - 11 - 10", "solution_steps": ["13 × 13 = 169", "6 × 169 = 1014", "1014 − 11 = 1003", "1003 − 10 = 993", "2 + 993 = 995"], "key": "three-digit-995-K♠J♦6♦K♦10♠2♥"} {"id": "train-three-digit-0700", "level": "three-digit", "target": 591, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "4 * (5 + 13 * (4 + 7)) - 1", "solution_steps": ["4 + 7 = 11", "13 × 11 = 143", "5 + 143 = 148", "4 × 148 = 592", "592 − 1 = 591"], "key": "three-digit-591-5♥4♦A♠7♠K♥4♥"} {"id": "train-three-digit-0701", "level": "three-digit", "target": 839, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 * (6 + 8) * (7 + 13) - 1", "solution_steps": ["6 + 8 = 14", "7 + 13 = 20", "14 × 20 = 280", "3 × 280 = 840", "840 − 1 = 839"], "key": "three-digit-839-8♣K♣3♥7♦A♣6♥"} {"id": "train-three-digit-0702", "level": "three-digit", "target": 981, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "(2 + 7) * (13 + 4 * 4 * 6)", "solution_steps": ["2 + 7 = 9", "4 × 6 = 24", "4 × 24 = 96", "13 + 96 = 109", "9 × 109 = 981"], "key": "three-digit-981-7♠6♥K♦4♠4♥2♣"} {"id": "train-three-digit-0703", "level": "three-digit", "target": 268, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "12 * (1 + 3 + 7 * 9) / 3", "solution_steps": ["7 × 9 = 63", "3 + 63 = 66", "1 + 66 = 67", "12 × 67 = 804", "804 ÷ 3 = 268"], "key": "three-digit-268-3♥3♣9♠A♣7♦Q♦"} {"id": "train-three-digit-0704", "level": "three-digit", "target": 571, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 5 * (7 - 1) * (9 + 10)", "solution_steps": ["7 − 1 = 6", "9 + 10 = 19", "6 × 19 = 114", "5 × 114 = 570", "1 + 570 = 571"], "key": "three-digit-571-9♠5♦A♠10♠A♥7♣"} {"id": "train-three-digit-0705", "level": "three-digit", "target": 905, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "4 + (8 + 9) * (6 * 10 - 7)", "solution_steps": ["8 + 9 = 17", "6 × 10 = 60", "60 − 7 = 53", "17 × 53 = 901", "4 + 901 = 905"], "key": "three-digit-905-9♦10♥7♥6♥4♠8♥"} {"id": "train-three-digit-0706", "level": "three-digit", "target": 574, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "4 * 12 * (5 + 10 - 3) - 2", "solution_steps": ["5 + 10 = 15", "15 − 3 = 12", "12 × 12 = 144", "4 × 144 = 576", "576 − 2 = 574"], "key": "three-digit-574-5♠2♥Q♥4♥3♦10♠"} {"id": "train-three-digit-0707", "level": "three-digit", "target": 362, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "9 * (8 + 9 * 11 / 3) - 7", "solution_steps": ["9 × 11 = 99", "99 ÷ 3 = 33", "8 + 33 = 41", "9 × 41 = 369", "369 − 7 = 362"], "key": "three-digit-362-J♣9♣8♠9♠3♥7♦"} {"id": "train-three-digit-0708", "level": "three-digit", "target": 321, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "3 + 10 + 7 * 11 * (8 - 4)", "solution_steps": ["8 − 4 = 4", "11 × 4 = 44", "7 × 44 = 308", "10 + 308 = 318", "3 + 318 = 321"], "key": "three-digit-321-3♦J♠7♠8♥4♦10♣"} {"id": "train-three-digit-0709", "level": "three-digit", "target": 630, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "5 * (11 * 12 - 12 / (12 - 10))", "solution_steps": ["11 × 12 = 132", "12 − 10 = 2", "12 ÷ 2 = 6", "132 − 6 = 126", "5 × 126 = 630"], "key": "three-digit-630-Q♥Q♣Q♠J♣10♠5♥"} {"id": "train-three-digit-0710", "level": "three-digit", "target": 512, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "(5 - 1) * (1 + 7) * (5 + 11)", "solution_steps": ["5 − 1 = 4", "1 + 7 = 8", "5 + 11 = 16", "8 × 16 = 128", "4 × 128 = 512"], "key": "three-digit-512-A♠J♣A♣5♦7♠5♠"} {"id": "train-three-digit-0711", "level": "three-digit", "target": 868, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "6 * (2 * 7 * 11 - 9) - 2", "solution_steps": ["7 × 11 = 77", "2 × 77 = 154", "154 − 9 = 145", "6 × 145 = 870", "870 − 2 = 868"], "key": "three-digit-868-6♠2♦J♠2♥9♣7♠"} {"id": "train-three-digit-0712", "level": "three-digit", "target": 333, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "3 + 6 * (3 + 4 * (5 + 8))", "solution_steps": ["5 + 8 = 13", "4 × 13 = 52", "3 + 52 = 55", "6 × 55 = 330", "3 + 330 = 333"], "key": "three-digit-333-3♥4♠8♥6♠3♣5♠"} {"id": "train-three-digit-0713", "level": "three-digit", "target": 890, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "7 * 8 + 7 * 10 * 12 - 6", "solution_steps": ["7 × 8 = 56", "10 × 12 = 120", "7 × 120 = 840", "56 + 840 = 896", "896 − 6 = 890"], "key": "three-digit-890-Q♥8♦10♥7♠7♣6♣"} {"id": "train-three-digit-0714", "level": "three-digit", "target": 135, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "5 + 8 * (9 + 9) - 7 - 7", "solution_steps": ["9 + 9 = 18", "8 × 18 = 144", "144 − 7 = 137", "137 − 7 = 130", "5 + 130 = 135"], "key": "three-digit-135-8♦9♠9♦7♦7♠5♦"} {"id": "train-three-digit-0715", "level": "three-digit", "target": 693, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 + 6 * (9 * (6 + 8) - 11)", "solution_steps": ["6 + 8 = 14", "9 × 14 = 126", "126 − 11 = 115", "6 × 115 = 690", "3 + 690 = 693"], "key": "three-digit-693-9♣3♦8♥6♠J♣6♣"} {"id": "train-three-digit-0716", "level": "three-digit", "target": 188, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + (13 - 8) * (9 + 4 * 7)", "solution_steps": ["13 − 8 = 5", "4 × 7 = 28", "9 + 28 = 37", "5 × 37 = 185", "3 + 185 = 188"], "key": "three-digit-188-8♠K♥7♠9♥4♠3♥"} {"id": "train-three-digit-0717", "level": "three-digit", "target": 369, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "9 * (4 * (10 + 13) - 10) / 2", "solution_steps": ["10 + 13 = 23", "4 × 23 = 92", "92 − 10 = 82", "9 × 82 = 738", "738 ÷ 2 = 369"], "key": "three-digit-369-K♦2♣10♦4♠9♥10♥"} {"id": "train-three-digit-0718", "level": "three-digit", "target": 227, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 3 * 5 * (12 + 13 - 10)", "solution_steps": ["12 + 13 = 25", "25 − 10 = 15", "5 × 15 = 75", "3 × 75 = 225", "2 + 225 = 227"], "key": "three-digit-227-2♣Q♣10♣5♦3♥K♦"} {"id": "train-three-digit-0719", "level": "three-digit", "target": 600, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 6 * (9 * 12 - 8) - 1", "solution_steps": ["9 × 12 = 108", "108 − 8 = 100", "6 × 100 = 600", "600 − 1 = 599", "1 + 599 = 600"], "key": "three-digit-600-8♠A♥Q♣6♣9♠A♠"} {"id": "train-three-digit-0720", "level": "three-digit", "target": 725, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "11 * (9 * (9 - 1) - 6) - 1", "solution_steps": ["9 − 1 = 8", "9 × 8 = 72", "72 − 6 = 66", "11 × 66 = 726", "726 − 1 = 725"], "key": "three-digit-725-9♠A♣J♣6♣A♠9♣"} {"id": "train-three-digit-0721", "level": "three-digit", "target": 179, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "4 + 11 * (12 + 12 - 8) - 1", "solution_steps": ["12 + 12 = 24", "24 − 8 = 16", "11 × 16 = 176", "4 + 176 = 180", "180 − 1 = 179"], "key": "three-digit-179-Q♠4♥J♦Q♣A♥8♠"} {"id": "train-three-digit-0722", "level": "three-digit", "target": 196, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 3 * (9 * 10 - 13 - 12)", "solution_steps": ["9 × 10 = 90", "90 − 13 = 77", "77 − 12 = 65", "3 × 65 = 195", "1 + 195 = 196"], "key": "three-digit-196-Q♣9♥3♥10♦K♦A♠"} {"id": "train-three-digit-0723", "level": "three-digit", "target": 285, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "7 * (8 + 3 * 12 - 3) - 2", "solution_steps": ["3 × 12 = 36", "8 + 36 = 44", "44 − 3 = 41", "7 × 41 = 287", "287 − 2 = 285"], "key": "three-digit-285-3♠8♠7♠2♥Q♠3♣"} {"id": "train-three-digit-0724", "level": "three-digit", "target": 150, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "4 + 7 * 8 + 6 * (6 + 9)", "solution_steps": ["7 × 8 = 56", "6 + 9 = 15", "6 × 15 = 90", "56 + 90 = 146", "4 + 146 = 150"], "key": "three-digit-150-6♠9♣7♠6♥4♥8♣"} {"id": "train-three-digit-0725", "level": "three-digit", "target": 915, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "9 * (10 * 12 - 13 - 5) - 3", "solution_steps": ["10 × 12 = 120", "120 − 13 = 107", "107 − 5 = 102", "9 × 102 = 918", "918 − 3 = 915"], "key": "three-digit-915-Q♥9♦K♥10♥5♦3♠"} {"id": "train-three-digit-0726", "level": "three-digit", "target": 694, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "3 * 5 * (3 + 4 * 11) - 11", "solution_steps": ["4 × 11 = 44", "3 + 44 = 47", "5 × 47 = 235", "3 × 235 = 705", "705 − 11 = 694"], "key": "three-digit-694-3♥5♠J♦3♦4♠J♥"} {"id": "train-three-digit-0727", "level": "three-digit", "target": 794, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 11 * (12 + 4 * (2 + 13))", "solution_steps": ["2 + 13 = 15", "4 × 15 = 60", "12 + 60 = 72", "11 × 72 = 792", "2 + 792 = 794"], "key": "three-digit-794-2♦4♦J♦Q♥K♦2♣"} {"id": "train-three-digit-0728", "level": "three-digit", "target": 533, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "4 + 5 * (12 + 8 * 12) - 11", "solution_steps": ["8 × 12 = 96", "12 + 96 = 108", "5 × 108 = 540", "540 − 11 = 529", "4 + 529 = 533"], "key": "three-digit-533-Q♠4♠Q♦8♥J♣5♦"} {"id": "train-three-digit-0729", "level": "three-digit", "target": 112, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 10 * (4 + 7 * (8 - 7))", "solution_steps": ["8 − 7 = 1", "7 × 1 = 7", "4 + 7 = 11", "10 × 11 = 110", "2 + 110 = 112"], "key": "three-digit-112-7♣10♠2♠7♦4♥8♥"} {"id": "train-three-digit-0730", "level": "three-digit", "target": 646, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "4 * (6 + 13 * (6 + 6)) - 2", "solution_steps": ["6 + 6 = 12", "13 × 12 = 156", "6 + 156 = 162", "4 × 162 = 648", "648 − 2 = 646"], "key": "three-digit-646-K♦6♦4♦2♣6♠6♥"} {"id": "train-three-digit-0731", "level": "three-digit", "target": 217, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "7 * (2 + 2 + 4 * 9 - 9)", "solution_steps": ["4 × 9 = 36", "36 − 9 = 27", "2 + 27 = 29", "2 + 29 = 31", "7 × 31 = 217"], "key": "three-digit-217-4♥9♠7♦2♠9♦2♥"} {"id": "train-three-digit-0732", "level": "three-digit", "target": 494, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "6 * (3 + 9 * 10 - 10) - 4", "solution_steps": ["9 × 10 = 90", "90 − 10 = 80", "3 + 80 = 83", "6 × 83 = 498", "498 − 4 = 494"], "key": "three-digit-494-10♣6♦3♥10♥9♥4♥"} {"id": "train-three-digit-0733", "level": "three-digit", "target": 239, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "(7 + 5 * 11 * 13 - 5) / 3", "solution_steps": ["11 × 13 = 143", "5 × 143 = 715", "7 + 715 = 722", "722 − 5 = 717", "717 ÷ 3 = 239"], "key": "three-digit-239-7♥5♣J♥3♥K♣5♠"} {"id": "train-three-digit-0734", "level": "three-digit", "target": 700, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 * 5 * 7 * (2 * 11 - 2)", "solution_steps": ["2 × 11 = 22", "22 − 2 = 20", "7 × 20 = 140", "5 × 140 = 700", "1 × 700 = 700"], "key": "three-digit-700-2♣A♣2♠J♣5♣7♥"} {"id": "train-three-digit-0735", "level": "three-digit", "target": 445, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + (5 + 7) * (4 + 3 * 11)", "solution_steps": ["5 + 7 = 12", "3 × 11 = 33", "4 + 33 = 37", "12 × 37 = 444", "1 + 444 = 445"], "key": "three-digit-445-A♣3♦4♥5♣7♥J♠"} {"id": "train-three-digit-0736", "level": "three-digit", "target": 487, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "11 + 5 * 12 * (2 + 6) - 4", "solution_steps": ["2 + 6 = 8", "12 × 8 = 96", "5 × 96 = 480", "11 + 480 = 491", "491 − 4 = 487"], "key": "three-digit-487-J♥2♥6♠5♣4♦Q♦"} {"id": "train-three-digit-0737", "level": "three-digit", "target": 904, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "8 + 4 * 7 * 8 * (1 + 3)", "solution_steps": ["1 + 3 = 4", "8 × 4 = 32", "7 × 32 = 224", "4 × 224 = 896", "8 + 896 = 904"], "key": "three-digit-904-7♠8♠A♥8♦4♥3♠"} {"id": "train-three-digit-0738", "level": "three-digit", "target": 409, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 11 * (10 * (10 - 6) - 3)", "solution_steps": ["10 − 6 = 4", "10 × 4 = 40", "40 − 3 = 37", "11 × 37 = 407", "2 + 407 = 409"], "key": "three-digit-409-2♣3♣J♦6♦10♣10♦"} {"id": "train-three-digit-0739", "level": "three-digit", "target": 818, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + (13 - 1) * (8 + 6 * 10)", "solution_steps": ["13 − 1 = 12", "6 × 10 = 60", "8 + 60 = 68", "12 × 68 = 816", "2 + 816 = 818"], "key": "three-digit-818-8♥10♥K♠6♠A♣2♠"} {"id": "train-three-digit-0740", "level": "three-digit", "target": 621, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "(6 + 10) * (5 * 10 - 11) - 3", "solution_steps": ["6 + 10 = 16", "5 × 10 = 50", "50 − 11 = 39", "16 × 39 = 624", "624 − 3 = 621"], "key": "three-digit-621-10♦5♦10♥3♥J♠6♠"} {"id": "train-three-digit-0741", "level": "three-digit", "target": 500, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 6 * (11 + 12 * (13 - 7))", "solution_steps": ["13 − 7 = 6", "12 × 6 = 72", "11 + 72 = 83", "6 × 83 = 498", "2 + 498 = 500"], "key": "three-digit-500-2♠J♥6♣Q♥K♦7♠"} {"id": "train-three-digit-0742", "level": "three-digit", "target": 768, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 11 + 3 * 3 * 7 * 12", "solution_steps": ["7 × 12 = 84", "3 × 84 = 252", "3 × 252 = 756", "11 + 756 = 767", "1 + 767 = 768"], "key": "three-digit-768-A♣7♦3♠J♣Q♥3♦"} {"id": "train-three-digit-0743", "level": "three-digit", "target": 632, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 3 * (8 * 10 + 10 * 13)", "solution_steps": ["8 × 10 = 80", "10 × 13 = 130", "80 + 130 = 210", "3 × 210 = 630", "2 + 630 = 632"], "key": "three-digit-632-2♠K♦10♠3♠10♥8♠"} {"id": "train-three-digit-0744", "level": "three-digit", "target": 794, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "9 + 6 * (11 * 13 - 11) - 7", "solution_steps": ["11 × 13 = 143", "143 − 11 = 132", "6 × 132 = 792", "9 + 792 = 801", "801 − 7 = 794"], "key": "three-digit-794-6♠9♦J♣J♠K♠7♣"} {"id": "train-three-digit-0745", "level": "three-digit", "target": 959, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "7 * (5 + 12 * (12 - 10 / 10))", "solution_steps": ["10 ÷ 10 = 1", "12 − 1 = 11", "12 × 11 = 132", "5 + 132 = 137", "7 × 137 = 959"], "key": "three-digit-959-5♣10♠Q♠Q♦7♣10♥"} {"id": "train-three-digit-0746", "level": "three-digit", "target": 107, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 5 + 3 * 7 + 8 * 10", "solution_steps": ["3 × 7 = 21", "8 × 10 = 80", "21 + 80 = 101", "5 + 101 = 106", "1 + 106 = 107"], "key": "three-digit-107-8♠5♠10♦A♣3♦7♠"} {"id": "train-three-digit-0747", "level": "three-digit", "target": 722, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "10 + 8 * (10 * 11 - 12 - 9)", "solution_steps": ["10 × 11 = 110", "110 − 12 = 98", "98 − 9 = 89", "8 × 89 = 712", "10 + 712 = 722"], "key": "three-digit-722-J♦8♥Q♠10♣9♥10♠"} {"id": "train-three-digit-0748", "level": "three-digit", "target": 574, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "(4 + 10) * (7 * (3 + 3) - 1)", "solution_steps": ["4 + 10 = 14", "3 + 3 = 6", "7 × 6 = 42", "42 − 1 = 41", "14 × 41 = 574"], "key": "three-digit-574-7♣3♠4♣3♣A♥10♠"} {"id": "train-three-digit-0749", "level": "three-digit", "target": 886, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "11 * (9 + 7 * 12 - 12) - 5", "solution_steps": ["7 × 12 = 84", "84 − 12 = 72", "9 + 72 = 81", "11 × 81 = 891", "891 − 5 = 886"], "key": "three-digit-886-7♠5♠Q♦9♦Q♥J♥"} {"id": "train-three-digit-0750", "level": "three-digit", "target": 603, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "12 * (8 * 8 - 7 - 6) - 9", "solution_steps": ["8 × 8 = 64", "64 − 7 = 57", "57 − 6 = 51", "12 × 51 = 612", "612 − 9 = 603"], "key": "three-digit-603-6♠8♥7♣Q♠9♦8♣"} {"id": "train-three-digit-0751", "level": "three-digit", "target": 246, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "6 + 4 * 7 * 9 - 8 - 4", "solution_steps": ["7 × 9 = 63", "4 × 63 = 252", "252 − 8 = 244", "6 + 244 = 250", "250 − 4 = 246"], "key": "three-digit-246-6♦9♦8♥4♥4♣7♥"} {"id": "train-three-digit-0752", "level": "three-digit", "target": 826, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 5 * 11 * (7 + 2 * 4)", "solution_steps": ["2 × 4 = 8", "7 + 8 = 15", "11 × 15 = 165", "5 × 165 = 825", "1 + 825 = 826"], "key": "three-digit-826-2♥4♦J♦5♥A♦7♥"} {"id": "train-three-digit-0753", "level": "three-digit", "target": 831, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "11 * (2 * 11 + 6 * 9) - 5", "solution_steps": ["2 × 11 = 22", "6 × 9 = 54", "22 + 54 = 76", "11 × 76 = 836", "836 − 5 = 831"], "key": "three-digit-831-9♦2♥J♠J♣6♥5♦"} {"id": "train-three-digit-0754", "level": "three-digit", "target": 472, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "4 * (12 * (5 + 5) - 10 / 5)", "solution_steps": ["5 + 5 = 10", "12 × 10 = 120", "10 ÷ 5 = 2", "120 − 2 = 118", "4 × 118 = 472"], "key": "three-digit-472-4♣Q♥5♠10♣5♥5♦"} {"id": "train-three-digit-0755", "level": "three-digit", "target": 160, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "7 * (5 * 7 - 11) - 6 - 2", "solution_steps": ["5 × 7 = 35", "35 − 11 = 24", "7 × 24 = 168", "168 − 6 = 162", "162 − 2 = 160"], "key": "three-digit-160-5♥J♣2♣7♥7♠6♠"} {"id": "train-three-digit-0756", "level": "three-digit", "target": 197, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "4 + 6 * 10 + 7 * (8 + 11)", "solution_steps": ["6 × 10 = 60", "8 + 11 = 19", "7 × 19 = 133", "60 + 133 = 193", "4 + 193 = 197"], "key": "three-digit-197-6♦10♠J♣8♥4♠7♣"} {"id": "train-three-digit-0757", "level": "three-digit", "target": 735, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "5 * (1 + 2 + 12 * (4 + 8))", "solution_steps": ["4 + 8 = 12", "12 × 12 = 144", "2 + 144 = 146", "1 + 146 = 147", "5 × 147 = 735"], "key": "three-digit-735-2♦5♦4♣A♥8♦Q♦"} {"id": "train-three-digit-0758", "level": "three-digit", "target": 287, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "5 + 5 * 6 + 4 * 7 * 9", "solution_steps": ["5 × 6 = 30", "7 × 9 = 63", "4 × 63 = 252", "30 + 252 = 282", "5 + 282 = 287"], "key": "three-digit-287-5♠6♣5♦9♠4♣7♥"} {"id": "train-three-digit-0759", "level": "three-digit", "target": 399, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "4 + 6 * (11 + 7 * 8) - 7", "solution_steps": ["7 × 8 = 56", "11 + 56 = 67", "6 × 67 = 402", "402 − 7 = 395", "4 + 395 = 399"], "key": "three-digit-399-8♠J♦7♦7♣4♦6♦"} {"id": "train-three-digit-0760", "level": "three-digit", "target": 231, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "(12 + 3 * 10 * (5 + 10)) / 2", "solution_steps": ["5 + 10 = 15", "10 × 15 = 150", "3 × 150 = 450", "12 + 450 = 462", "462 ÷ 2 = 231"], "key": "three-digit-231-Q♥10♦3♣2♠5♣10♥"} {"id": "train-three-digit-0761", "level": "three-digit", "target": 491, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "4 + 5 * 7 * (3 + 11) - 3", "solution_steps": ["3 + 11 = 14", "7 × 14 = 98", "5 × 98 = 490", "4 + 490 = 494", "494 − 3 = 491"], "key": "three-digit-491-3♠4♥7♦5♠3♣J♥"} {"id": "train-three-digit-0762", "level": "three-digit", "target": 262, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 * 6 * (3 * 6 - 3) - 8", "solution_steps": ["3 × 6 = 18", "18 − 3 = 15", "6 × 15 = 90", "3 × 90 = 270", "270 − 8 = 262"], "key": "three-digit-262-6♦3♥6♥3♦8♠3♣"} {"id": "train-three-digit-0763", "level": "three-digit", "target": 262, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "6 * (5 + 9 + 9 * 13) / 3", "solution_steps": ["9 × 13 = 117", "9 + 117 = 126", "5 + 126 = 131", "6 × 131 = 786", "786 ÷ 3 = 262"], "key": "three-digit-262-K♦9♣3♣5♥6♥9♦"} {"id": "train-three-digit-0764", "level": "three-digit", "target": 954, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "11 * (10 * 10 - 11) - 5 * 5", "solution_steps": ["10 × 10 = 100", "100 − 11 = 89", "11 × 89 = 979", "5 × 5 = 25", "979 − 25 = 954"], "key": "three-digit-954-J♥10♦5♠10♣J♦5♣"} {"id": "train-three-digit-0765", "level": "three-digit", "target": 372, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "2 + 6 * 7 * 9 - 5 - 3", "solution_steps": ["7 × 9 = 63", "6 × 63 = 378", "378 − 5 = 373", "373 − 3 = 370", "2 + 370 = 372"], "key": "three-digit-372-6♦2♦9♦7♦3♦5♠"} {"id": "train-three-digit-0766", "level": "three-digit", "target": 154, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "4 + 5 + 5 * (9 + 10 + 10)", "solution_steps": ["10 + 10 = 20", "9 + 20 = 29", "5 × 29 = 145", "5 + 145 = 150", "4 + 150 = 154"], "key": "three-digit-154-10♥5♠5♣10♠9♦4♠"} {"id": "train-three-digit-0767", "level": "three-digit", "target": 609, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 * (6 + 9 * (2 + 5 * 13))", "solution_steps": ["5 × 13 = 65", "2 + 65 = 67", "9 × 67 = 603", "6 + 603 = 609", "1 × 609 = 609"], "key": "three-digit-609-2♠A♣6♣9♥5♥K♦"} {"id": "train-three-digit-0768", "level": "three-digit", "target": 626, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "7 + 12 * 13 * (10 - 6) - 5", "solution_steps": ["10 − 6 = 4", "13 × 4 = 52", "12 × 52 = 624", "7 + 624 = 631", "631 − 5 = 626"], "key": "three-digit-626-K♠7♠Q♣10♥6♥5♠"} {"id": "train-three-digit-0769", "level": "three-digit", "target": 653, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "3 + 4 * 11 * (7 + 8) - 10", "solution_steps": ["7 + 8 = 15", "11 × 15 = 165", "4 × 165 = 660", "660 − 10 = 650", "3 + 650 = 653"], "key": "three-digit-653-7♦8♠4♦10♣3♥J♥"} {"id": "train-three-digit-0770", "level": "three-digit", "target": 382, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "5 * (4 + 8 + 5 * 13) - 3", "solution_steps": ["5 × 13 = 65", "8 + 65 = 73", "4 + 73 = 77", "5 × 77 = 385", "385 − 3 = 382"], "key": "three-digit-382-4♠8♣K♦3♥5♠5♣"} {"id": "train-three-digit-0771", "level": "three-digit", "target": 809, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "9 + 8 * (13 + 8 * 11 - 1)", "solution_steps": ["8 × 11 = 88", "13 + 88 = 101", "101 − 1 = 100", "8 × 100 = 800", "9 + 800 = 809"], "key": "three-digit-809-J♥8♦K♣9♦8♥A♥"} {"id": "train-three-digit-0772", "level": "three-digit", "target": 108, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "3 + 10 + 10 + 8 * 12 - 11", "solution_steps": ["8 × 12 = 96", "96 − 11 = 85", "10 + 85 = 95", "10 + 95 = 105", "3 + 105 = 108"], "key": "three-digit-108-Q♣J♣10♦3♣8♣10♣"} {"id": "train-three-digit-0773", "level": "three-digit", "target": 695, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "5 * (8 + 6 * (11 + 13) - 13)", "solution_steps": ["11 + 13 = 24", "6 × 24 = 144", "144 − 13 = 131", "8 + 131 = 139", "5 × 139 = 695"], "key": "three-digit-695-5♠6♦K♣K♠8♣J♥"} {"id": "train-three-digit-0774", "level": "three-digit", "target": 612, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "(5 + 13) * (1 + 11 * (1 + 2))", "solution_steps": ["5 + 13 = 18", "1 + 2 = 3", "11 × 3 = 33", "1 + 33 = 34", "18 × 34 = 612"], "key": "three-digit-612-5♦A♠K♠J♦2♣A♥"} {"id": "train-three-digit-0775", "level": "three-digit", "target": 163, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "8 * 11 + 9 * 10 - 8 - 7", "solution_steps": ["8 × 11 = 88", "9 × 10 = 90", "88 + 90 = 178", "178 − 8 = 170", "170 − 7 = 163"], "key": "three-digit-163-8♥10♦7♦9♣8♦J♠"} {"id": "train-three-digit-0776", "level": "three-digit", "target": 233, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "7 + 13 * (9 + 10) - 11 - 10", "solution_steps": ["9 + 10 = 19", "13 × 19 = 247", "247 − 11 = 236", "236 − 10 = 226", "7 + 226 = 233"], "key": "three-digit-233-10♣J♥9♠10♥7♣K♠"} {"id": "train-three-digit-0777", "level": "three-digit", "target": 660, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 * 10 * (4 * 9 - 12 / 4)", "solution_steps": ["4 × 9 = 36", "12 ÷ 4 = 3", "36 − 3 = 33", "10 × 33 = 330", "2 × 330 = 660"], "key": "three-digit-660-4♦2♣4♣10♦Q♠9♥"} {"id": "train-three-digit-0778", "level": "three-digit", "target": 170, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "5 + 6 * 13 + 8 * 12 - 9", "solution_steps": ["6 × 13 = 78", "8 × 12 = 96", "78 + 96 = 174", "174 − 9 = 165", "5 + 165 = 170"], "key": "three-digit-170-8♥5♦9♣K♠6♥Q♣"} {"id": "train-three-digit-0779", "level": "three-digit", "target": 651, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "12 / 12 + 5 * 11 * 12 - 10", "solution_steps": ["12 ÷ 12 = 1", "11 × 12 = 132", "5 × 132 = 660", "1 + 660 = 661", "661 − 10 = 651"], "key": "three-digit-651-5♠Q♦Q♠10♥Q♥J♥"} {"id": "train-three-digit-0780", "level": "three-digit", "target": 975, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "5 * (2 * 9 * (1 + 10) - 3)", "solution_steps": ["1 + 10 = 11", "9 × 11 = 99", "2 × 99 = 198", "198 − 3 = 195", "5 × 195 = 975"], "key": "three-digit-975-5♠9♦A♥2♣3♦10♦"} {"id": "train-three-digit-0781", "level": "three-digit", "target": 571, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "6 * 8 * (5 + 10 - 3) - 5", "solution_steps": ["5 + 10 = 15", "15 − 3 = 12", "8 × 12 = 96", "6 × 96 = 576", "576 − 5 = 571"], "key": "three-digit-571-10♦5♥3♣8♦6♣5♦"} {"id": "train-three-digit-0782", "level": "three-digit", "target": 244, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 8 * (6 * 7 - 10) - 13", "solution_steps": ["6 × 7 = 42", "42 − 10 = 32", "8 × 32 = 256", "256 − 13 = 243", "1 + 243 = 244"], "key": "three-digit-244-A♥10♠8♦7♦6♠K♥"} {"id": "train-three-digit-0783", "level": "three-digit", "target": 542, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 * (7 * 13 * (9 - 3) - 4)", "solution_steps": ["9 − 3 = 6", "13 × 6 = 78", "7 × 78 = 546", "546 − 4 = 542", "1 × 542 = 542"], "key": "three-digit-542-3♠4♠A♦9♠7♣K♣"} {"id": "train-three-digit-0784", "level": "three-digit", "target": 765, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "10 * (7 + 7 * 10) - 4 - 1", "solution_steps": ["7 × 10 = 70", "7 + 70 = 77", "10 × 77 = 770", "770 − 4 = 766", "766 − 1 = 765"], "key": "three-digit-765-10♦10♠4♥7♦A♦7♠"} {"id": "train-three-digit-0785", "level": "three-digit", "target": 873, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 8 * (4 + 7 * (2 + 13))", "solution_steps": ["2 + 13 = 15", "7 × 15 = 105", "4 + 105 = 109", "8 × 109 = 872", "1 + 872 = 873"], "key": "three-digit-873-4♦2♦7♣A♦8♥K♥"} {"id": "train-three-digit-0786", "level": "three-digit", "target": 920, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "(8 + 13) * (7 * 7 - 5) - 4", "solution_steps": ["8 + 13 = 21", "7 × 7 = 49", "49 − 5 = 44", "21 × 44 = 924", "924 − 4 = 920"], "key": "three-digit-920-8♦5♥4♠7♦K♠7♣"} {"id": "train-three-digit-0787", "level": "three-digit", "target": 235, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "8 + 10 * 11 + 10 * 13 - 13", "solution_steps": ["10 × 11 = 110", "10 × 13 = 130", "110 + 130 = 240", "240 − 13 = 227", "8 + 227 = 235"], "key": "three-digit-235-J♣10♦10♥K♠8♣K♣"} {"id": "train-three-digit-0788", "level": "three-digit", "target": 140, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 7 * (10 + 12) - 11 - 5", "solution_steps": ["10 + 12 = 22", "7 × 22 = 154", "154 − 11 = 143", "143 − 5 = 138", "2 + 138 = 140"], "key": "three-digit-140-10♥5♣J♥Q♠7♥2♦"} {"id": "train-three-digit-0789", "level": "three-digit", "target": 319, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 + (8 - 5) * (9 + 8 * 12)", "solution_steps": ["8 − 5 = 3", "8 × 12 = 96", "9 + 96 = 105", "3 × 105 = 315", "4 + 315 = 319"], "key": "three-digit-319-8♥9♦Q♣8♠5♥4♣"} {"id": "train-three-digit-0790", "level": "three-digit", "target": 603, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "9 * (1 + 6 * (2 + 2 + 7))", "solution_steps": ["2 + 7 = 9", "2 + 9 = 11", "6 × 11 = 66", "1 + 66 = 67", "9 × 67 = 603"], "key": "three-digit-603-A♦2♣7♣9♥6♥2♥"} {"id": "train-three-digit-0791", "level": "three-digit", "target": 567, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "10 * (7 * 10 - 12 - 1) - 3", "solution_steps": ["7 × 10 = 70", "70 − 12 = 58", "58 − 1 = 57", "10 × 57 = 570", "570 − 3 = 567"], "key": "three-digit-567-Q♦10♦10♥7♣A♣3♣"} {"id": "train-three-digit-0792", "level": "three-digit", "target": 539, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 10 + 6 * 8 * (5 + 6)", "solution_steps": ["5 + 6 = 11", "8 × 11 = 88", "6 × 88 = 528", "10 + 528 = 538", "1 + 538 = 539"], "key": "three-digit-539-A♦6♠6♥8♠5♦10♠"} {"id": "train-three-digit-0793", "level": "three-digit", "target": 457, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 4 * 9 * 13 - 12 - 1", "solution_steps": ["9 × 13 = 117", "4 × 117 = 468", "468 − 12 = 456", "2 + 456 = 458", "458 − 1 = 457"], "key": "three-digit-457-Q♠A♣K♣4♣9♥2♥"} {"id": "train-three-digit-0794", "level": "three-digit", "target": 961, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 + 6 * 10 * (4 + 12) - 2", "solution_steps": ["4 + 12 = 16", "10 × 16 = 160", "6 × 160 = 960", "3 + 960 = 963", "963 − 2 = 961"], "key": "three-digit-961-2♥3♥Q♠4♦10♠6♣"} {"id": "train-three-digit-0795", "level": "three-digit", "target": 798, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "6 + 12 * (10 + 4 * (5 + 9))", "solution_steps": ["5 + 9 = 14", "4 × 14 = 56", "10 + 56 = 66", "12 × 66 = 792", "6 + 792 = 798"], "key": "three-digit-798-9♣Q♦10♣4♥6♠5♠"} {"id": "train-three-digit-0796", "level": "three-digit", "target": 791, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "4 + 9 + 6 * 10 * 13 - 2", "solution_steps": ["10 × 13 = 130", "6 × 130 = 780", "9 + 780 = 789", "4 + 789 = 793", "793 − 2 = 791"], "key": "three-digit-791-6♦2♦K♦10♣4♣9♦"} {"id": "train-three-digit-0797", "level": "three-digit", "target": 551, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "6 * 11 + 5 * (9 + 8 * 11)", "solution_steps": ["6 × 11 = 66", "8 × 11 = 88", "9 + 88 = 97", "5 × 97 = 485", "66 + 485 = 551"], "key": "three-digit-551-9♣6♠J♥5♦J♣8♠"} {"id": "train-three-digit-0798", "level": "three-digit", "target": 754, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "11 + 6 * 7 * (5 + 13) - 13", "solution_steps": ["5 + 13 = 18", "7 × 18 = 126", "6 × 126 = 756", "756 − 13 = 743", "11 + 743 = 754"], "key": "three-digit-754-5♠6♠K♥K♣J♥7♥"} {"id": "train-three-digit-0799", "level": "three-digit", "target": 480, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "(4 + 9) * (2 + 5 * 7) - 1", "solution_steps": ["4 + 9 = 13", "5 × 7 = 35", "2 + 35 = 37", "13 × 37 = 481", "481 − 1 = 480"], "key": "three-digit-480-7♦4♥2♠A♥9♠5♠"} {"id": "train-three-digit-0800", "level": "three-digit", "target": 803, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "3 + 4 * (2 + 11 * (7 + 11))", "solution_steps": ["7 + 11 = 18", "11 × 18 = 198", "2 + 198 = 200", "4 × 200 = 800", "3 + 800 = 803"], "key": "three-digit-803-7♦3♥J♥4♦J♠2♦"} {"id": "train-three-digit-0801", "level": "three-digit", "target": 125, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 5 * 13 * (11 - 9) - 6", "solution_steps": ["11 − 9 = 2", "13 × 2 = 26", "5 × 26 = 130", "130 − 6 = 124", "1 + 124 = 125"], "key": "three-digit-125-9♠K♠J♥6♥A♣5♥"} {"id": "train-three-digit-0802", "level": "three-digit", "target": 734, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 + 12 * (8 * 9 - 10) - 12", "solution_steps": ["8 × 9 = 72", "72 − 10 = 62", "12 × 62 = 744", "744 − 12 = 732", "2 + 732 = 734"], "key": "three-digit-734-8♥2♦9♠Q♣Q♦10♠"} {"id": "train-three-digit-0803", "level": "three-digit", "target": 783, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "5 + 8 + 10 * 11 * (13 - 6)", "solution_steps": ["13 − 6 = 7", "11 × 7 = 77", "10 × 77 = 770", "8 + 770 = 778", "5 + 778 = 783"], "key": "three-digit-783-10♦6♦5♥K♠8♠J♣"} {"id": "train-three-digit-0804", "level": "three-digit", "target": 991, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "12 * (11 + 6 * 12) - 3 - 2", "solution_steps": ["6 × 12 = 72", "11 + 72 = 83", "12 × 83 = 996", "996 − 3 = 993", "993 − 2 = 991"], "key": "three-digit-991-2♦J♦Q♦6♥Q♣3♣"} {"id": "train-three-digit-0805", "level": "three-digit", "target": 383, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "3 + 10 * (5 + 3 * (1 + 10))", "solution_steps": ["1 + 10 = 11", "3 × 11 = 33", "5 + 33 = 38", "10 × 38 = 380", "3 + 380 = 383"], "key": "three-digit-383-3♠5♠A♥3♣10♠10♦"} {"id": "train-three-digit-0806", "level": "three-digit", "target": 888, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "6 * 8 * (8 * 10 - 6) / 4", "solution_steps": ["8 × 10 = 80", "80 − 6 = 74", "8 × 74 = 592", "6 × 592 = 3552", "3552 ÷ 4 = 888"], "key": "three-digit-888-8♥4♠6♠10♠6♦8♦"} {"id": "train-three-digit-0807", "level": "three-digit", "target": 876, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "12 * (7 * 12 - 7 - 3 - 1)", "solution_steps": ["7 × 12 = 84", "84 − 7 = 77", "77 − 3 = 74", "74 − 1 = 73", "12 × 73 = 876"], "key": "three-digit-876-3♣A♥Q♥Q♠7♦7♥"} {"id": "train-three-digit-0808", "level": "three-digit", "target": 298, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "(1 + 9) * (4 + 2 * 13) - 2", "solution_steps": ["1 + 9 = 10", "2 × 13 = 26", "4 + 26 = 30", "10 × 30 = 300", "300 − 2 = 298"], "key": "three-digit-298-K♣4♠2♥A♥2♣9♠"} {"id": "train-three-digit-0809", "level": "three-digit", "target": 132, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "6 + 6 * 7 * 9 / (10 - 7)", "solution_steps": ["10 − 7 = 3", "9 ÷ 3 = 3", "7 × 3 = 21", "6 × 21 = 126", "6 + 126 = 132"], "key": "three-digit-132-7♦6♠7♣9♦6♦10♥"} {"id": "train-three-digit-0810", "level": "three-digit", "target": 215, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "5 + 7 + 10 * (8 + 13) - 7", "solution_steps": ["8 + 13 = 21", "10 × 21 = 210", "210 − 7 = 203", "7 + 203 = 210", "5 + 210 = 215"], "key": "three-digit-215-7♦5♦8♥K♥7♣10♦"} {"id": "train-three-digit-0811", "level": "three-digit", "target": 138, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 7 * 10 * 12 / 6 - 3", "solution_steps": ["10 × 12 = 120", "7 × 120 = 840", "840 ÷ 6 = 140", "140 − 3 = 137", "1 + 137 = 138"], "key": "three-digit-138-A♦6♣7♦10♦3♠Q♥"} {"id": "train-three-digit-0812", "level": "three-digit", "target": 826, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 + 6 * (3 + 12 * 12 - 10)", "solution_steps": ["12 × 12 = 144", "144 − 10 = 134", "3 + 134 = 137", "6 × 137 = 822", "4 + 822 = 826"], "key": "three-digit-826-Q♦10♥3♠6♥Q♠4♣"} {"id": "train-three-digit-0813", "level": "three-digit", "target": 961, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "9 + (3 + 11) * (9 * 9 - 13)", "solution_steps": ["3 + 11 = 14", "9 × 9 = 81", "81 − 13 = 68", "14 × 68 = 952", "9 + 952 = 961"], "key": "three-digit-961-K♠9♦3♠9♠9♣J♠"} {"id": "train-three-digit-0814", "level": "three-digit", "target": 678, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 * (11 * (7 + 12 + 12) - 2)", "solution_steps": ["12 + 12 = 24", "7 + 24 = 31", "11 × 31 = 341", "341 − 2 = 339", "2 × 339 = 678"], "key": "three-digit-678-7♦2♠Q♥Q♣J♠2♥"} {"id": "train-three-digit-0815", "level": "three-digit", "target": 769, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 2 * 8 * (8 + 4 * 10)", "solution_steps": ["4 × 10 = 40", "8 + 40 = 48", "8 × 48 = 384", "2 × 384 = 768", "1 + 768 = 769"], "key": "three-digit-769-A♣8♠10♦4♣2♦8♦"} {"id": "train-three-digit-0816", "level": "three-digit", "target": 280, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 * 5 * 8 * (6 + 13 - 12)", "solution_steps": ["13 − 12 = 1", "6 + 1 = 7", "8 × 7 = 56", "5 × 56 = 280", "1 × 280 = 280"], "key": "three-digit-280-6♠A♥8♠K♥5♠Q♦"} {"id": "train-three-digit-0817", "level": "three-digit", "target": 694, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "3 * (4 + 12 * (6 + 13)) - 2", "solution_steps": ["6 + 13 = 19", "12 × 19 = 228", "4 + 228 = 232", "3 × 232 = 696", "696 − 2 = 694"], "key": "three-digit-694-4♦2♥3♠6♣K♣Q♠"} {"id": "train-three-digit-0818", "level": "three-digit", "target": 499, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 * (2 * 6 * 6 * 7 - 5)", "solution_steps": ["6 × 7 = 42", "6 × 42 = 252", "2 × 252 = 504", "504 − 5 = 499", "1 × 499 = 499"], "key": "three-digit-499-6♣5♦A♣6♠7♣2♦"} {"id": "train-three-digit-0819", "level": "three-digit", "target": 688, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "6 * 13 * (4 + 5) - 11 - 3", "solution_steps": ["4 + 5 = 9", "13 × 9 = 117", "6 × 117 = 702", "702 − 11 = 691", "691 − 3 = 688"], "key": "three-digit-688-6♥4♦5♣3♠K♥J♥"} {"id": "train-three-digit-0820", "level": "three-digit", "target": 612, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "3 * (10 + 12 * (4 + 13) - 10)", "solution_steps": ["4 + 13 = 17", "12 × 17 = 204", "204 − 10 = 194", "10 + 194 = 204", "3 × 204 = 612"], "key": "three-digit-612-Q♦10♣10♦K♦3♥4♥"} {"id": "train-three-digit-0821", "level": "three-digit", "target": 605, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 4 * (10 * (8 + 8) - 9)", "solution_steps": ["8 + 8 = 16", "10 × 16 = 160", "160 − 9 = 151", "4 × 151 = 604", "1 + 604 = 605"], "key": "three-digit-605-4♠8♠10♠9♥8♦A♠"} {"id": "train-three-digit-0822", "level": "three-digit", "target": 795, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "3 + 6 * (2 * 8 * 9 - 12)", "solution_steps": ["8 × 9 = 72", "2 × 72 = 144", "144 − 12 = 132", "6 × 132 = 792", "3 + 792 = 795"], "key": "three-digit-795-8♦9♠6♠3♠Q♦2♥"} {"id": "train-three-digit-0823", "level": "three-digit", "target": 194, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 5 + 9 * (11 + 11) - 10", "solution_steps": ["11 + 11 = 22", "9 × 22 = 198", "198 − 10 = 188", "5 + 188 = 193", "1 + 193 = 194"], "key": "three-digit-194-9♠J♥10♣J♣5♣A♦"} {"id": "train-three-digit-0824", "level": "three-digit", "target": 908, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "13 + 11 * (2 + 8 * 10) - 7", "solution_steps": ["8 × 10 = 80", "2 + 80 = 82", "11 × 82 = 902", "13 + 902 = 915", "915 − 7 = 908"], "key": "three-digit-908-K♦2♠10♦J♥8♣7♦"} {"id": "train-three-digit-0825", "level": "three-digit", "target": 213, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 9 * 12 * (12 - 10) - 4", "solution_steps": ["12 − 10 = 2", "12 × 2 = 24", "9 × 24 = 216", "216 − 4 = 212", "1 + 212 = 213"], "key": "three-digit-213-9♦A♦4♦Q♠Q♣10♣"} {"id": "train-three-digit-0826", "level": "three-digit", "target": 806, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 * (7 * (6 * 11 - 8) - 3)", "solution_steps": ["6 × 11 = 66", "66 − 8 = 58", "7 × 58 = 406", "406 − 3 = 403", "2 × 403 = 806"], "key": "three-digit-806-7♣8♠J♣6♣3♦2♣"} {"id": "train-three-digit-0827", "level": "three-digit", "target": 879, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "9 + 5 * (10 * (7 + 11) - 6)", "solution_steps": ["7 + 11 = 18", "10 × 18 = 180", "180 − 6 = 174", "5 × 174 = 870", "9 + 870 = 879"], "key": "three-digit-879-6♠9♦5♦10♥J♥7♠"} {"id": "train-three-digit-0828", "level": "three-digit", "target": 724, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "6 + 6 * (10 * 13 - 9) - 8", "solution_steps": ["10 × 13 = 130", "130 − 9 = 121", "6 × 121 = 726", "726 − 8 = 718", "6 + 718 = 724"], "key": "three-digit-724-6♠8♦9♦10♣6♣K♦"} {"id": "train-three-digit-0829", "level": "three-digit", "target": 287, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "4 + 11 * 13 + 10 * (5 + 9)", "solution_steps": ["11 × 13 = 143", "5 + 9 = 14", "10 × 14 = 140", "143 + 140 = 283", "4 + 283 = 287"], "key": "three-digit-287-J♥9♣4♦K♠5♦10♠"} {"id": "train-three-digit-0830", "level": "three-digit", "target": 978, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "3 * (7 * (6 * 8 - 1) - 3)", "solution_steps": ["6 × 8 = 48", "48 − 1 = 47", "7 × 47 = 329", "329 − 3 = 326", "3 × 326 = 978"], "key": "three-digit-978-8♣3♥3♦A♦7♥6♦"} {"id": "train-three-digit-0831", "level": "three-digit", "target": 501, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "9 + 6 * (7 + 5 * (4 + 11))", "solution_steps": ["4 + 11 = 15", "5 × 15 = 75", "7 + 75 = 82", "6 × 82 = 492", "9 + 492 = 501"], "key": "three-digit-501-7♣5♦J♥4♣9♣6♦"} {"id": "train-three-digit-0832", "level": "three-digit", "target": 889, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 6 * (10 * (5 + 11) - 12)", "solution_steps": ["5 + 11 = 16", "10 × 16 = 160", "160 − 12 = 148", "6 × 148 = 888", "1 + 888 = 889"], "key": "three-digit-889-J♠A♥5♠6♠Q♣10♥"} {"id": "train-three-digit-0833", "level": "three-digit", "target": 256, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "3 + 5 + 8 + 4 * 6 * 10", "solution_steps": ["6 × 10 = 60", "4 × 60 = 240", "8 + 240 = 248", "5 + 248 = 253", "3 + 253 = 256"], "key": "three-digit-256-6♠8♦10♠3♠4♣5♥"} {"id": "train-three-digit-0834", "level": "three-digit", "target": 623, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 4 * (7 + 12 * 13 - 8)", "solution_steps": ["12 × 13 = 156", "156 − 8 = 148", "7 + 148 = 155", "4 × 155 = 620", "3 + 620 = 623"], "key": "three-digit-623-8♥Q♠4♣7♥K♠3♦"} {"id": "train-three-digit-0835", "level": "three-digit", "target": 672, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 * (8 + 8 * (4 * 13 - 11))", "solution_steps": ["4 × 13 = 52", "52 − 11 = 41", "8 × 41 = 328", "8 + 328 = 336", "2 × 336 = 672"], "key": "three-digit-672-2♥K♦8♠J♣4♣8♦"} {"id": "train-three-digit-0836", "level": "three-digit", "target": 110, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 + 6 * (7 + 13) - 10 - 3", "solution_steps": ["7 + 13 = 20", "6 × 20 = 120", "120 − 10 = 110", "110 − 3 = 107", "3 + 107 = 110"], "key": "three-digit-110-3♣K♦6♠10♦3♦7♥"} {"id": "train-three-digit-0837", "level": "three-digit", "target": 663, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 * (9 * (8 * 11 - 13) - 12)", "solution_steps": ["8 × 11 = 88", "88 − 13 = 75", "9 × 75 = 675", "675 − 12 = 663", "1 × 663 = 663"], "key": "three-digit-663-9♣A♣Q♠K♦8♦J♣"} {"id": "train-three-digit-0838", "level": "three-digit", "target": 521, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "5 + 6 + 10 * (7 * 9 - 12)", "solution_steps": ["7 × 9 = 63", "63 − 12 = 51", "10 × 51 = 510", "6 + 510 = 516", "5 + 516 = 521"], "key": "three-digit-521-Q♠6♠7♣9♣10♠5♠"} {"id": "train-three-digit-0839", "level": "three-digit", "target": 642, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 * 6 * (10 * (4 + 7) - 3)", "solution_steps": ["4 + 7 = 11", "10 × 11 = 110", "110 − 3 = 107", "6 × 107 = 642", "1 × 642 = 642"], "key": "three-digit-642-A♦3♠6♥4♦7♦10♦"} {"id": "train-three-digit-0840", "level": "three-digit", "target": 862, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "(7 + 10) * (11 + 4 * 10) - 5", "solution_steps": ["7 + 10 = 17", "4 × 10 = 40", "11 + 40 = 51", "17 × 51 = 867", "867 − 5 = 862"], "key": "three-digit-862-7♣4♣10♠J♠5♦10♣"} {"id": "train-three-digit-0841", "level": "three-digit", "target": 111, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 8 + 10 * 12 - 11 - 8", "solution_steps": ["10 × 12 = 120", "120 − 11 = 109", "109 − 8 = 101", "8 + 101 = 109", "2 + 109 = 111"], "key": "three-digit-111-8♥8♣Q♣2♣J♥10♦"} {"id": "train-three-digit-0842", "level": "three-digit", "target": 138, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 + 5 + 13 * (6 + 13 - 9)", "solution_steps": ["13 − 9 = 4", "6 + 4 = 10", "13 × 10 = 130", "5 + 130 = 135", "3 + 135 = 138"], "key": "three-digit-138-K♣9♠K♠5♠3♠6♣"} {"id": "train-three-digit-0843", "level": "three-digit", "target": 880, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "4 * (13 * (10 + 11 - 4) - 1)", "solution_steps": ["10 + 11 = 21", "21 − 4 = 17", "13 × 17 = 221", "221 − 1 = 220", "4 × 220 = 880"], "key": "three-digit-880-4♠J♠K♠10♣4♥A♠"} {"id": "train-three-digit-0844", "level": "three-digit", "target": 813, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 7 * (8 + 6 * (8 + 10))", "solution_steps": ["8 + 10 = 18", "6 × 18 = 108", "8 + 108 = 116", "7 × 116 = 812", "1 + 812 = 813"], "key": "three-digit-813-8♠A♥10♥8♥6♠7♦"} {"id": "train-three-digit-0845", "level": "three-digit", "target": 582, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "3 + 9 + 10 * (9 + 6 * 8)", "solution_steps": ["6 × 8 = 48", "9 + 48 = 57", "10 × 57 = 570", "9 + 570 = 579", "3 + 579 = 582"], "key": "three-digit-582-9♠10♥3♦9♣8♠6♦"} {"id": "train-three-digit-0846", "level": "three-digit", "target": 898, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 6 + 7 * (11 * 12 - 5)", "solution_steps": ["11 × 12 = 132", "132 − 5 = 127", "7 × 127 = 889", "6 + 889 = 895", "3 + 895 = 898"], "key": "three-digit-898-7♦5♠J♠6♦Q♣3♥"} {"id": "train-three-digit-0847", "level": "three-digit", "target": 678, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "11 * (8 * 8 - 1) - 11 - 4", "solution_steps": ["8 × 8 = 64", "64 − 1 = 63", "11 × 63 = 693", "693 − 11 = 682", "682 − 4 = 678"], "key": "three-digit-678-4♣8♦J♠J♣A♥8♥"} {"id": "train-three-digit-0848", "level": "three-digit", "target": 226, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 2 + 13 * (8 + 9)", "solution_steps": ["8 + 9 = 17", "13 × 17 = 221", "2 + 221 = 223", "2 + 223 = 225", "1 + 225 = 226"], "key": "three-digit-226-2♥8♣K♠9♥A♣2♠"} {"id": "train-three-digit-0849", "level": "three-digit", "target": 432, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "6 * (11 + 12 * (11 - 5) - 11)", "solution_steps": ["11 − 5 = 6", "12 × 6 = 72", "72 − 11 = 61", "11 + 61 = 72", "6 × 72 = 432"], "key": "three-digit-432-5♠J♣J♥J♦Q♣6♠"} {"id": "train-three-digit-0850", "level": "three-digit", "target": 468, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "10 * (6 * (3 + 6) - 7) - 2", "solution_steps": ["3 + 6 = 9", "6 × 9 = 54", "54 − 7 = 47", "10 × 47 = 470", "470 − 2 = 468"], "key": "three-digit-468-6♥7♦10♥2♣3♥6♣"} {"id": "train-three-digit-0851", "level": "three-digit", "target": 515, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 9 * (12 + 13 + 4 * 8)", "solution_steps": ["4 × 8 = 32", "13 + 32 = 45", "12 + 45 = 57", "9 × 57 = 513", "2 + 513 = 515"], "key": "three-digit-515-Q♦8♣K♣4♥9♠2♥"} {"id": "train-three-digit-0852", "level": "three-digit", "target": 407, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 9 * (5 + 2 * (10 + 10))", "solution_steps": ["10 + 10 = 20", "2 × 20 = 40", "5 + 40 = 45", "9 × 45 = 405", "2 + 405 = 407"], "key": "three-digit-407-10♣2♠10♠2♣9♦5♥"} {"id": "train-three-digit-0853", "level": "three-digit", "target": 831, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 5 * (6 + 10 * (7 + 9))", "solution_steps": ["7 + 9 = 16", "10 × 16 = 160", "6 + 160 = 166", "5 × 166 = 830", "1 + 830 = 831"], "key": "three-digit-831-6♠9♥A♠5♦7♦10♣"} {"id": "train-three-digit-0854", "level": "three-digit", "target": 671, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "10 * (7 * 11 - 9) - 5 - 4", "solution_steps": ["7 × 11 = 77", "77 − 9 = 68", "10 × 68 = 680", "680 − 5 = 675", "675 − 4 = 671"], "key": "three-digit-671-9♣J♣5♠7♦10♠4♥"} {"id": "train-three-digit-0855", "level": "three-digit", "target": 703, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 * 11 * (6 * 6 - 4) - 1", "solution_steps": ["6 × 6 = 36", "36 − 4 = 32", "11 × 32 = 352", "2 × 352 = 704", "704 − 1 = 703"], "key": "three-digit-703-6♣4♥6♦A♥J♠2♥"} {"id": "train-three-digit-0856", "level": "three-digit", "target": 577, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "(1 + 5) * (9 * 11 - 1) - 11", "solution_steps": ["1 + 5 = 6", "9 × 11 = 99", "99 − 1 = 98", "6 × 98 = 588", "588 − 11 = 577"], "key": "three-digit-577-A♣J♥9♣A♠J♣5♥"} {"id": "train-three-digit-0857", "level": "three-digit", "target": 373, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "5 + 6 * (6 + 7 * 8) - 4", "solution_steps": ["7 × 8 = 56", "6 + 56 = 62", "6 × 62 = 372", "5 + 372 = 377", "377 − 4 = 373"], "key": "three-digit-373-7♣8♦6♦5♦4♣6♥"} {"id": "train-three-digit-0858", "level": "three-digit", "target": 620, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 3 + 11 * (6 + 5 * 10)", "solution_steps": ["5 × 10 = 50", "6 + 50 = 56", "11 × 56 = 616", "3 + 616 = 619", "1 + 619 = 620"], "key": "three-digit-620-10♦A♣3♦5♠J♠6♦"} {"id": "train-three-digit-0859", "level": "three-digit", "target": 233, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 7 * (7 + 8 * 13 / 4)", "solution_steps": ["8 × 13 = 104", "104 ÷ 4 = 26", "7 + 26 = 33", "7 × 33 = 231", "2 + 231 = 233"], "key": "three-digit-233-7♥4♥7♣8♠K♥2♠"} {"id": "train-three-digit-0860", "level": "three-digit", "target": 172, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 + 3 + 4 + 9 * (5 + 13)", "solution_steps": ["5 + 13 = 18", "9 × 18 = 162", "4 + 162 = 166", "3 + 166 = 169", "3 + 169 = 172"], "key": "three-digit-172-K♣4♥3♥3♠9♦5♣"} {"id": "train-three-digit-0861", "level": "three-digit", "target": 299, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "4 + 11 * 13 + 8 * (8 + 11)", "solution_steps": ["11 × 13 = 143", "8 + 11 = 19", "8 × 19 = 152", "143 + 152 = 295", "4 + 295 = 299"], "key": "three-digit-299-4♦K♥8♥J♦J♠8♦"} {"id": "train-three-digit-0862", "level": "three-digit", "target": 786, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 7 * (9 + 8 * 13) - 6", "solution_steps": ["8 × 13 = 104", "9 + 104 = 113", "7 × 113 = 791", "791 − 6 = 785", "1 + 785 = 786"], "key": "three-digit-786-K♥A♣6♦8♦7♦9♦"} {"id": "train-three-digit-0863", "level": "three-digit", "target": 320, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "9 * (6 * 11 - 5 * 6) - 4", "solution_steps": ["6 × 11 = 66", "5 × 6 = 30", "66 − 30 = 36", "9 × 36 = 324", "324 − 4 = 320"], "key": "three-digit-320-4♥6♦J♠9♥6♣5♥"} {"id": "train-three-digit-0864", "level": "three-digit", "target": 805, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 11 * (5 * (4 + 12) - 7)", "solution_steps": ["4 + 12 = 16", "5 × 16 = 80", "80 − 7 = 73", "11 × 73 = 803", "2 + 803 = 805"], "key": "three-digit-805-5♠7♦2♣J♦Q♠4♣"} {"id": "train-three-digit-0865", "level": "three-digit", "target": 630, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 * 10 * (1 + 2) * (1 + 6)", "solution_steps": ["1 + 2 = 3", "1 + 6 = 7", "3 × 7 = 21", "10 × 21 = 210", "3 × 210 = 630"], "key": "three-digit-630-A♠3♦6♥2♦A♥10♥"} {"id": "train-three-digit-0866", "level": "three-digit", "target": 578, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 * (4 + 13) * (7 + 3 * 9)", "solution_steps": ["4 + 13 = 17", "3 × 9 = 27", "7 + 27 = 34", "17 × 34 = 578", "1 × 578 = 578"], "key": "three-digit-578-3♠7♥K♦A♦9♠4♥"} {"id": "train-three-digit-0867", "level": "three-digit", "target": 627, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 9 + 8 * 11 * (3 + 4)", "solution_steps": ["3 + 4 = 7", "11 × 7 = 77", "8 × 77 = 616", "9 + 616 = 625", "2 + 625 = 627"], "key": "three-digit-627-2♦J♥8♦3♦4♣9♦"} {"id": "train-three-digit-0868", "level": "three-digit", "target": 454, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 * (6 + 8 * 8 * (12 - 5))", "solution_steps": ["12 − 5 = 7", "8 × 7 = 56", "8 × 56 = 448", "6 + 448 = 454", "1 × 454 = 454"], "key": "three-digit-454-5♣A♠8♠6♠Q♣8♣"} {"id": "train-three-digit-0869", "level": "three-digit", "target": 370, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 * (3 + 10 * (5 + 7))", "solution_steps": ["5 + 7 = 12", "10 × 12 = 120", "3 + 120 = 123", "3 × 123 = 369", "1 + 369 = 370"], "key": "three-digit-370-A♦7♠5♠3♥10♦3♣"} {"id": "train-three-digit-0870", "level": "three-digit", "target": 794, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "8 + (13 - 7) * (11 + 10 * 12)", "solution_steps": ["13 − 7 = 6", "10 × 12 = 120", "11 + 120 = 131", "6 × 131 = 786", "8 + 786 = 794"], "key": "three-digit-794-Q♣K♠10♣7♣J♣8♥"} {"id": "train-three-digit-0871", "level": "three-digit", "target": 954, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 * (5 * 8 * 8 - 12 / 6)", "solution_steps": ["8 × 8 = 64", "5 × 64 = 320", "12 ÷ 6 = 2", "320 − 2 = 318", "3 × 318 = 954"], "key": "three-digit-954-8♦5♠8♣3♠6♠Q♦"} {"id": "train-three-digit-0872", "level": "three-digit", "target": 350, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 9 * (6 * 8 - 9) - 3", "solution_steps": ["6 × 8 = 48", "48 − 9 = 39", "9 × 39 = 351", "351 − 3 = 348", "2 + 348 = 350"], "key": "three-digit-350-6♣9♥2♥9♠8♥3♦"} {"id": "train-three-digit-0873", "level": "three-digit", "target": 676, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "12 * (6 * 11 - 9) - 5 - 3", "solution_steps": ["6 × 11 = 66", "66 − 9 = 57", "12 × 57 = 684", "684 − 5 = 679", "679 − 3 = 676"], "key": "three-digit-676-Q♠9♠6♠3♥5♦J♣"} {"id": "train-three-digit-0874", "level": "three-digit", "target": 114, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "3 + 3 + 4 * (8 + 9 + 10)", "solution_steps": ["9 + 10 = 19", "8 + 19 = 27", "4 × 27 = 108", "3 + 108 = 111", "3 + 111 = 114"], "key": "three-digit-114-10♦3♠8♠3♦4♣9♠"} {"id": "train-three-digit-0875", "level": "three-digit", "target": 372, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "8 + (13 - 9) * (10 * 10 - 9)", "solution_steps": ["13 − 9 = 4", "10 × 10 = 100", "100 − 9 = 91", "4 × 91 = 364", "8 + 364 = 372"], "key": "three-digit-372-9♣9♠10♥K♣10♣8♥"} {"id": "train-three-digit-0876", "level": "three-digit", "target": 870, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "13 * (12 + 11 * (9 - 4)) - 1", "solution_steps": ["9 − 4 = 5", "11 × 5 = 55", "12 + 55 = 67", "13 × 67 = 871", "871 − 1 = 870"], "key": "three-digit-870-9♦J♦4♠A♣K♣Q♥"} {"id": "train-three-digit-0877", "level": "three-digit", "target": 623, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "6 * 13 * (7 + 4 / 4) - 1", "solution_steps": ["4 ÷ 4 = 1", "7 + 1 = 8", "13 × 8 = 104", "6 × 104 = 624", "624 − 1 = 623"], "key": "three-digit-623-K♦4♥6♥7♥4♣A♦"} {"id": "train-three-digit-0878", "level": "three-digit", "target": 973, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "3 + 10 + 6 * 8 * (8 + 12)", "solution_steps": ["8 + 12 = 20", "8 × 20 = 160", "6 × 160 = 960", "10 + 960 = 970", "3 + 970 = 973"], "key": "three-digit-973-8♥3♣10♣6♣8♠Q♠"} {"id": "train-three-digit-0879", "level": "three-digit", "target": 803, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "6 * (7 * (8 + 13) - 12) - 7", "solution_steps": ["8 + 13 = 21", "7 × 21 = 147", "147 − 12 = 135", "6 × 135 = 810", "810 − 7 = 803"], "key": "three-digit-803-8♣Q♦7♦7♠6♥K♦"} {"id": "train-three-digit-0880", "level": "three-digit", "target": 477, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "5 + 8 * (10 + 5 * 12 - 11)", "solution_steps": ["5 × 12 = 60", "60 − 11 = 49", "10 + 49 = 59", "8 × 59 = 472", "5 + 472 = 477"], "key": "three-digit-477-Q♣8♣J♣10♥5♣5♠"} {"id": "train-three-digit-0881", "level": "three-digit", "target": 208, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "5 + 5 + 11 * (13 + 13 - 8)", "solution_steps": ["13 + 13 = 26", "26 − 8 = 18", "11 × 18 = 198", "5 + 198 = 203", "5 + 203 = 208"], "key": "three-digit-208-5♦5♥J♦K♦K♥8♥"} {"id": "train-three-digit-0882", "level": "three-digit", "target": 566, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 5 + 6 * (12 + 9 * 9)", "solution_steps": ["9 × 9 = 81", "12 + 81 = 93", "6 × 93 = 558", "5 + 558 = 563", "3 + 563 = 566"], "key": "three-digit-566-9♠9♦Q♦5♣3♦6♥"} {"id": "train-three-digit-0883", "level": "three-digit", "target": 389, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 9 * (8 * 12 / 2 - 5)", "solution_steps": ["8 × 12 = 96", "96 ÷ 2 = 48", "48 − 5 = 43", "9 × 43 = 387", "2 + 387 = 389"], "key": "three-digit-389-5♥Q♠2♣8♠9♦2♠"} {"id": "train-three-digit-0884", "level": "three-digit", "target": 346, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 8 * (7 * 9 - 11 - 9)", "solution_steps": ["7 × 9 = 63", "63 − 11 = 52", "52 − 9 = 43", "8 × 43 = 344", "2 + 344 = 346"], "key": "three-digit-346-9♠7♣J♥2♠9♦8♥"} {"id": "train-three-digit-0885", "level": "three-digit", "target": 394, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "5 * (1 + 7) * (3 + 7) - 6", "solution_steps": ["1 + 7 = 8", "3 + 7 = 10", "8 × 10 = 80", "5 × 80 = 400", "400 − 6 = 394"], "key": "three-digit-394-7♥6♦5♠3♥A♥7♦"} {"id": "train-three-digit-0886", "level": "three-digit", "target": 115, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "4 + 10 + 11 + 5 * (5 + 13)", "solution_steps": ["5 + 13 = 18", "5 × 18 = 90", "11 + 90 = 101", "10 + 101 = 111", "4 + 111 = 115"], "key": "three-digit-115-K♦4♥5♦J♦5♣10♠"} {"id": "train-three-digit-0887", "level": "three-digit", "target": 942, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "6 + 9 * 13 * (7 + 9 - 8)", "solution_steps": ["9 − 8 = 1", "7 + 1 = 8", "13 × 8 = 104", "9 × 104 = 936", "6 + 936 = 942"], "key": "three-digit-942-8♠7♦9♥6♠9♠K♣"} {"id": "train-three-digit-0888", "level": "three-digit", "target": 815, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "12 * (6 + 3 * 3 * 7) - 13", "solution_steps": ["3 × 7 = 21", "3 × 21 = 63", "6 + 63 = 69", "12 × 69 = 828", "828 − 13 = 815"], "key": "three-digit-815-7♠K♦3♠Q♣6♦3♥"} {"id": "train-three-digit-0889", "level": "three-digit", "target": 766, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 7 * (6 + 8 * 13) - 5", "solution_steps": ["8 × 13 = 104", "6 + 104 = 110", "7 × 110 = 770", "770 − 5 = 765", "1 + 765 = 766"], "key": "three-digit-766-A♣7♥8♠K♥6♠5♦"} {"id": "train-three-digit-0890", "level": "three-digit", "target": 147, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 6 * 9 + 8 * 11", "solution_steps": ["6 × 9 = 54", "8 × 11 = 88", "54 + 88 = 142", "3 + 142 = 145", "2 + 145 = 147"], "key": "three-digit-147-8♠J♥2♥9♠6♣3♠"} {"id": "train-three-digit-0891", "level": "three-digit", "target": 699, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 7 * 10 * (4 + 6) - 3", "solution_steps": ["4 + 6 = 10", "10 × 10 = 100", "7 × 100 = 700", "700 − 3 = 697", "2 + 697 = 699"], "key": "three-digit-699-7♠2♦3♣10♠4♣6♥"} {"id": "train-three-digit-0892", "level": "three-digit", "target": 788, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 6 * 12 * (13 - 2) - 5", "solution_steps": ["13 − 2 = 11", "12 × 11 = 132", "6 × 132 = 792", "792 − 5 = 787", "1 + 787 = 788"], "key": "three-digit-788-6♦2♥K♥5♦A♥Q♥"} {"id": "train-three-digit-0893", "level": "three-digit", "target": 992, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 * (7 * 11 * (1 + 12) - 9)", "solution_steps": ["1 + 12 = 13", "11 × 13 = 143", "7 × 143 = 1001", "1001 − 9 = 992", "1 × 992 = 992"], "key": "three-digit-992-9♥A♣J♣7♦A♥Q♦"} {"id": "train-three-digit-0894", "level": "three-digit", "target": 710, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "9 * (9 * 10 - 10) - 6 - 4", "solution_steps": ["9 × 10 = 90", "90 − 10 = 80", "9 × 80 = 720", "720 − 6 = 714", "714 − 4 = 710"], "key": "three-digit-710-6♦9♣10♣10♦9♦4♥"} {"id": "train-three-digit-0895", "level": "three-digit", "target": 384, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "8 * ((1 + 1) * (13 + 13) - 4)", "solution_steps": ["1 + 1 = 2", "13 + 13 = 26", "2 × 26 = 52", "52 − 4 = 48", "8 × 48 = 384"], "key": "three-digit-384-A♥8♦K♣4♦A♠K♥"} {"id": "train-three-digit-0896", "level": "three-digit", "target": 633, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 4 * (8 + 10 * (7 + 8))", "solution_steps": ["7 + 8 = 15", "10 × 15 = 150", "8 + 150 = 158", "4 × 158 = 632", "1 + 632 = 633"], "key": "three-digit-633-4♣8♣10♠A♥8♦7♦"} {"id": "train-three-digit-0897", "level": "three-digit", "target": 820, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "4 * (7 / 7 + 12 * (4 + 13))", "solution_steps": ["7 ÷ 7 = 1", "4 + 13 = 17", "12 × 17 = 204", "1 + 204 = 205", "4 × 205 = 820"], "key": "three-digit-820-Q♦7♣K♣4♠4♦7♦"} {"id": "train-three-digit-0898", "level": "three-digit", "target": 804, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 * 4 * (8 + 5 * 12 - 1)", "solution_steps": ["5 × 12 = 60", "8 + 60 = 68", "68 − 1 = 67", "4 × 67 = 268", "3 × 268 = 804"], "key": "three-digit-804-4♦A♠8♦Q♣3♠5♣"} {"id": "train-three-digit-0899", "level": "three-digit", "target": 538, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 * (4 * 8 * (8 + 9) - 6)", "solution_steps": ["8 + 9 = 17", "8 × 17 = 136", "4 × 136 = 544", "544 − 6 = 538", "1 × 538 = 538"], "key": "three-digit-538-8♠9♣4♥A♦8♥6♥"} {"id": "train-three-digit-0900", "level": "three-digit", "target": 462, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 * 6 * (8 * (4 + 6) - 3)", "solution_steps": ["4 + 6 = 10", "8 × 10 = 80", "80 − 3 = 77", "6 × 77 = 462", "1 × 462 = 462"], "key": "three-digit-462-A♥6♦6♥4♦3♥8♣"} {"id": "train-three-digit-0901", "level": "three-digit", "target": 418, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "8 * (9 + 11 * (11 - 7)) - 6", "solution_steps": ["11 − 7 = 4", "11 × 4 = 44", "9 + 44 = 53", "8 × 53 = 424", "424 − 6 = 418"], "key": "three-digit-418-J♥9♦6♣7♦8♥J♠"} {"id": "train-three-digit-0902", "level": "three-digit", "target": 888, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 * (12 + 6 * (8 + 8 * 8))", "solution_steps": ["8 × 8 = 64", "8 + 64 = 72", "6 × 72 = 432", "12 + 432 = 444", "2 × 444 = 888"], "key": "three-digit-888-2♣6♥Q♥8♦8♠8♥"} {"id": "train-three-digit-0903", "level": "three-digit", "target": 811, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 10 + 5 * 10 * (3 + 13)", "solution_steps": ["3 + 13 = 16", "10 × 16 = 160", "5 × 160 = 800", "10 + 800 = 810", "1 + 810 = 811"], "key": "three-digit-811-10♠5♦K♦A♦3♦10♥"} {"id": "train-three-digit-0904", "level": "three-digit", "target": 470, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 * 10 * (4 + 7 * 8 - 13)", "solution_steps": ["7 × 8 = 56", "56 − 13 = 43", "4 + 43 = 47", "10 × 47 = 470", "1 × 470 = 470"], "key": "three-digit-470-4♦10♣8♣A♦K♥7♦"} {"id": "train-three-digit-0905", "level": "three-digit", "target": 884, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 * 13 * (9 + 11 + 4 * 12)", "solution_steps": ["4 × 12 = 48", "11 + 48 = 59", "9 + 59 = 68", "13 × 68 = 884", "1 × 884 = 884"], "key": "three-digit-884-J♥Q♠K♣9♠A♠4♠"} {"id": "train-three-digit-0906", "level": "three-digit", "target": 305, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "4 + (6 + 12) * (8 + 9) - 5", "solution_steps": ["6 + 12 = 18", "8 + 9 = 17", "18 × 17 = 306", "306 − 5 = 301", "4 + 301 = 305"], "key": "three-digit-305-8♥9♥Q♠4♣5♦6♦"} {"id": "train-three-digit-0907", "level": "three-digit", "target": 234, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 * 3 * 3 * (4 * 7 - 2)", "solution_steps": ["4 × 7 = 28", "28 − 2 = 26", "3 × 26 = 78", "3 × 78 = 234", "1 × 234 = 234"], "key": "three-digit-234-7♣3♣4♣A♦2♥3♥"} {"id": "train-three-digit-0908", "level": "three-digit", "target": 425, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 * 5 * 5 * (1 + 2 * 8)", "solution_steps": ["2 × 8 = 16", "1 + 16 = 17", "5 × 17 = 85", "5 × 85 = 425", "1 × 425 = 425"], "key": "three-digit-425-5♣A♠8♥5♥2♠A♥"} {"id": "train-three-digit-0909", "level": "three-digit", "target": 872, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "(6 + 6) * (3 + 7 * 10) - 4", "solution_steps": ["6 + 6 = 12", "7 × 10 = 70", "3 + 70 = 73", "12 × 73 = 876", "876 − 4 = 872"], "key": "three-digit-872-7♣10♣6♥4♥3♥6♣"} {"id": "train-three-digit-0910", "level": "three-digit", "target": 514, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 + 4 * (2 + 6) * (6 + 10)", "solution_steps": ["2 + 6 = 8", "6 + 10 = 16", "8 × 16 = 128", "4 × 128 = 512", "2 + 512 = 514"], "key": "three-digit-514-4♠6♠6♥2♦2♣10♠"} {"id": "train-three-digit-0911", "level": "three-digit", "target": 733, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 11 + 5 * 12 * (3 + 9)", "solution_steps": ["3 + 9 = 12", "12 × 12 = 144", "5 × 144 = 720", "11 + 720 = 731", "2 + 731 = 733"], "key": "three-digit-733-Q♦3♣5♠2♥9♣J♠"} {"id": "train-three-digit-0912", "level": "three-digit", "target": 284, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "3 + 13 * (3 * 10 - 8) - 5", "solution_steps": ["3 × 10 = 30", "30 − 8 = 22", "13 × 22 = 286", "286 − 5 = 281", "3 + 281 = 284"], "key": "three-digit-284-3♥K♣5♠3♠10♦8♣"} {"id": "train-three-digit-0913", "level": "three-digit", "target": 183, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 13 * (3 + 12 - 6 / 6)", "solution_steps": ["6 ÷ 6 = 1", "12 − 1 = 11", "3 + 11 = 14", "13 × 14 = 182", "1 + 182 = 183"], "key": "three-digit-183-A♥K♠Q♠3♠6♠6♥"} {"id": "train-three-digit-0914", "level": "three-digit", "target": 256, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "4 + 12 * (6 + 9 * 11) / 5", "solution_steps": ["9 × 11 = 99", "6 + 99 = 105", "12 × 105 = 1260", "1260 ÷ 5 = 252", "4 + 252 = 256"], "key": "three-digit-256-5♠J♠4♣9♠6♠Q♥"} {"id": "train-three-digit-0915", "level": "three-digit", "target": 736, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "6 * (7 + 9 * 13) - 7 - 1", "solution_steps": ["9 × 13 = 117", "7 + 117 = 124", "6 × 124 = 744", "744 − 7 = 737", "737 − 1 = 736"], "key": "three-digit-736-K♣7♥7♠A♠9♦6♥"} {"id": "train-three-digit-0916", "level": "three-digit", "target": 917, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "7 + (3 + 10) * (9 * 9 - 11)", "solution_steps": ["3 + 10 = 13", "9 × 9 = 81", "81 − 11 = 70", "13 × 70 = 910", "7 + 910 = 917"], "key": "three-digit-917-9♥9♣3♠J♣7♠10♦"} {"id": "train-three-digit-0917", "level": "three-digit", "target": 840, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "7 * (9 + 13 + 9 * 12 - 10)", "solution_steps": ["9 × 12 = 108", "13 + 108 = 121", "121 − 10 = 111", "9 + 111 = 120", "7 × 120 = 840"], "key": "three-digit-840-9♠7♦9♣10♣K♠Q♥"} {"id": "train-three-digit-0918", "level": "three-digit", "target": 385, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 * 7 * (8 + 6 * 10 - 13)", "solution_steps": ["6 × 10 = 60", "60 − 13 = 47", "8 + 47 = 55", "7 × 55 = 385", "1 × 385 = 385"], "key": "three-digit-385-6♣A♥K♣7♣8♠10♠"} {"id": "train-three-digit-0919", "level": "three-digit", "target": 228, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "3 + 12 * (8 * 11 - 13) / 4", "solution_steps": ["8 × 11 = 88", "88 − 13 = 75", "12 × 75 = 900", "900 ÷ 4 = 225", "3 + 225 = 228"], "key": "three-digit-228-8♣J♣3♠Q♦4♦K♣"} {"id": "train-three-digit-0920", "level": "three-digit", "target": 363, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "5 + 9 * 10 * (11 - 7) - 2", "solution_steps": ["11 − 7 = 4", "10 × 4 = 40", "9 × 40 = 360", "5 + 360 = 365", "365 − 2 = 363"], "key": "three-digit-363-J♠10♣9♦7♣5♣2♠"} {"id": "train-three-digit-0921", "level": "three-digit", "target": 302, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 3 * 4 * 5 * (11 - 6)", "solution_steps": ["11 − 6 = 5", "5 × 5 = 25", "4 × 25 = 100", "3 × 100 = 300", "2 + 300 = 302"], "key": "three-digit-302-4♥3♠5♦2♣J♥6♣"} {"id": "train-three-digit-0922", "level": "three-digit", "target": 563, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 * (3 * 8 + 9 * 13) - 1", "solution_steps": ["3 × 8 = 24", "9 × 13 = 117", "24 + 117 = 141", "4 × 141 = 564", "564 − 1 = 563"], "key": "three-digit-563-3♣A♦K♣9♣8♦4♦"} {"id": "train-three-digit-0923", "level": "three-digit", "target": 887, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 * (3 + 13 * (6 * 13 - 10))", "solution_steps": ["6 × 13 = 78", "78 − 10 = 68", "13 × 68 = 884", "3 + 884 = 887", "1 × 887 = 887"], "key": "three-digit-887-6♦3♠K♠10♦K♣A♦"} {"id": "train-three-digit-0924", "level": "three-digit", "target": 312, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 * 2 * (2 + 7 * (9 + 13))", "solution_steps": ["9 + 13 = 22", "7 × 22 = 154", "2 + 154 = 156", "2 × 156 = 312", "1 × 312 = 312"], "key": "three-digit-312-9♥K♥2♠2♥7♥A♥"} {"id": "train-three-digit-0925", "level": "three-digit", "target": 795, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "6 / 2 + 8 * 9 * (4 + 7)", "solution_steps": ["6 ÷ 2 = 3", "4 + 7 = 11", "9 × 11 = 99", "8 × 99 = 792", "3 + 792 = 795"], "key": "three-digit-795-4♦2♥7♦9♠6♠8♦"} {"id": "train-three-digit-0926", "level": "three-digit", "target": 321, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "3 * (7 + 11 * 11 - 12 - 9)", "solution_steps": ["11 × 11 = 121", "121 − 12 = 109", "109 − 9 = 100", "7 + 100 = 107", "3 × 107 = 321"], "key": "three-digit-321-9♣7♠J♣Q♥3♦J♠"} {"id": "train-three-digit-0927", "level": "three-digit", "target": 821, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "8 + 6 * (6 + 10 * 13) - 3", "solution_steps": ["10 × 13 = 130", "6 + 130 = 136", "6 × 136 = 816", "8 + 816 = 824", "824 − 3 = 821"], "key": "three-digit-821-K♦6♦3♣6♠10♥8♠"} {"id": "train-three-digit-0928", "level": "three-digit", "target": 131, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "4 + 7 + 10 * (11 + 13 - 12)", "solution_steps": ["13 − 12 = 1", "11 + 1 = 12", "10 × 12 = 120", "7 + 120 = 127", "4 + 127 = 131"], "key": "three-digit-131-J♦Q♠K♥7♥4♣10♠"} {"id": "train-three-digit-0929", "level": "three-digit", "target": 873, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "9 * (10 * 13 - 12 - 11 - 10)", "solution_steps": ["10 × 13 = 130", "130 − 12 = 118", "118 − 11 = 107", "107 − 10 = 97", "9 × 97 = 873"], "key": "three-digit-873-10♦J♦Q♦10♣K♦9♠"} {"id": "train-three-digit-0930", "level": "three-digit", "target": 930, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "10 * (11 + 9 * 12 - 13 - 13)", "solution_steps": ["9 × 12 = 108", "108 − 13 = 95", "95 − 13 = 82", "11 + 82 = 93", "10 × 93 = 930"], "key": "three-digit-930-10♠Q♦J♦K♦9♠K♠"} {"id": "train-three-digit-0931", "level": "three-digit", "target": 193, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "4 + 4 + 8 * (11 + 13) - 7", "solution_steps": ["11 + 13 = 24", "8 × 24 = 192", "192 − 7 = 185", "4 + 185 = 189", "4 + 189 = 193"], "key": "three-digit-193-4♥7♣J♣8♣4♣K♦"} {"id": "train-three-digit-0932", "level": "three-digit", "target": 360, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 * (6 + 6 + 7 * (11 + 13))", "solution_steps": ["11 + 13 = 24", "7 × 24 = 168", "6 + 168 = 174", "6 + 174 = 180", "2 × 180 = 360"], "key": "three-digit-360-6♦J♣7♥2♣K♥6♠"} {"id": "train-three-digit-0933", "level": "three-digit", "target": 405, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 4 * (11 * (2 + 8) - 9)", "solution_steps": ["2 + 8 = 10", "11 × 10 = 110", "110 − 9 = 101", "4 × 101 = 404", "1 + 404 = 405"], "key": "three-digit-405-J♣4♠A♠2♣8♥9♦"} {"id": "train-three-digit-0934", "level": "three-digit", "target": 175, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 6 + 6 * (8 + 4 * 5)", "solution_steps": ["4 × 5 = 20", "8 + 20 = 28", "6 × 28 = 168", "6 + 168 = 174", "1 + 174 = 175"], "key": "three-digit-175-6♥A♦8♣4♣6♠5♠"} {"id": "train-three-digit-0935", "level": "three-digit", "target": 621, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "9 + 8 * (9 + 12 * 12) / 2", "solution_steps": ["12 × 12 = 144", "9 + 144 = 153", "8 × 153 = 1224", "1224 ÷ 2 = 612", "9 + 612 = 621"], "key": "three-digit-621-Q♦Q♣8♠2♣9♦9♥"} {"id": "train-three-digit-0936", "level": "three-digit", "target": 639, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "(10 - 1) * (12 * 12 / 2 - 1)", "solution_steps": ["10 − 1 = 9", "12 × 12 = 144", "144 ÷ 2 = 72", "72 − 1 = 71", "9 × 71 = 639"], "key": "three-digit-639-A♥10♠Q♠2♥A♦Q♣"} {"id": "train-three-digit-0937", "level": "three-digit", "target": 824, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 + 10 * (10 + 12 * 12 / 2)", "solution_steps": ["12 × 12 = 144", "144 ÷ 2 = 72", "10 + 72 = 82", "10 × 82 = 820", "4 + 820 = 824"], "key": "three-digit-824-10♥10♦Q♠Q♥2♦4♣"} {"id": "train-three-digit-0938", "level": "three-digit", "target": 903, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "7 + 8 + 8 * (12 + 9 * 11)", "solution_steps": ["9 × 11 = 99", "12 + 99 = 111", "8 × 111 = 888", "8 + 888 = 896", "7 + 896 = 903"], "key": "three-digit-903-9♠Q♠8♠7♥J♦8♦"} {"id": "train-three-digit-0939", "level": "three-digit", "target": 431, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 13 + 13 * (8 + 3 * 8)", "solution_steps": ["3 × 8 = 24", "8 + 24 = 32", "13 × 32 = 416", "13 + 416 = 429", "2 + 429 = 431"], "key": "three-digit-431-8♦3♥2♠K♣8♠K♠"} {"id": "train-three-digit-0940", "level": "three-digit", "target": 792, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "3 * (5 + 12 + 13 * (6 + 13))", "solution_steps": ["6 + 13 = 19", "13 × 19 = 247", "12 + 247 = 259", "5 + 259 = 264", "3 × 264 = 792"], "key": "three-digit-792-K♠K♥3♠6♠Q♦5♦"} {"id": "train-three-digit-0941", "level": "three-digit", "target": 831, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "6 + 11 * 12 * (12 + 13) / 4", "solution_steps": ["12 + 13 = 25", "12 × 25 = 300", "11 × 300 = 3300", "3300 ÷ 4 = 825", "6 + 825 = 831"], "key": "three-digit-831-J♥Q♣4♠K♦Q♠6♠"} {"id": "train-three-digit-0942", "level": "three-digit", "target": 176, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 13 * (12 + 12 - 10) - 8", "solution_steps": ["12 + 12 = 24", "24 − 10 = 14", "13 × 14 = 182", "182 − 8 = 174", "2 + 174 = 176"], "key": "three-digit-176-Q♦10♦Q♣2♠K♥8♠"} {"id": "train-three-digit-0943", "level": "three-digit", "target": 346, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 4 * (7 + 9 + 7 * 10)", "solution_steps": ["7 × 10 = 70", "9 + 70 = 79", "7 + 79 = 86", "4 × 86 = 344", "2 + 344 = 346"], "key": "three-digit-346-9♦7♦10♥4♥7♣2♠"} {"id": "train-three-digit-0944", "level": "three-digit", "target": 718, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 * (7 + 4 * 8 * (4 + 7))", "solution_steps": ["4 + 7 = 11", "8 × 11 = 88", "4 × 88 = 352", "7 + 352 = 359", "2 × 359 = 718"], "key": "three-digit-718-4♦4♥7♣2♦7♥8♦"} {"id": "train-three-digit-0945", "level": "three-digit", "target": 665, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "6 * (11 + 4 * (12 + 13)) - 1", "solution_steps": ["12 + 13 = 25", "4 × 25 = 100", "11 + 100 = 111", "6 × 111 = 666", "666 − 1 = 665"], "key": "three-digit-665-Q♥4♠J♦K♥6♠A♦"} {"id": "train-three-digit-0946", "level": "three-digit", "target": 234, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "5 + 7 + 13 * (7 + 11) - 12", "solution_steps": ["7 + 11 = 18", "13 × 18 = 234", "234 − 12 = 222", "7 + 222 = 229", "5 + 229 = 234"], "key": "three-digit-234-7♠K♥7♦J♦5♥Q♣"} {"id": "train-three-digit-0947", "level": "three-digit", "target": 854, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "(7 + 12) * (13 + 4 * 8) - 1", "solution_steps": ["7 + 12 = 19", "4 × 8 = 32", "13 + 32 = 45", "19 × 45 = 855", "855 − 1 = 854"], "key": "three-digit-854-A♠Q♥4♠7♣8♣K♠"} {"id": "train-three-digit-0948", "level": "three-digit", "target": 349, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "12 + 2 * 13 * (2 + 11) - 1", "solution_steps": ["2 + 11 = 13", "13 × 13 = 169", "2 × 169 = 338", "12 + 338 = 350", "350 − 1 = 349"], "key": "three-digit-349-A♣2♥2♠J♦K♠Q♠"} {"id": "train-three-digit-0949", "level": "three-digit", "target": 416, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 6 * (7 + 8 * 9 - 10)", "solution_steps": ["8 × 9 = 72", "72 − 10 = 62", "7 + 62 = 69", "6 × 69 = 414", "2 + 414 = 416"], "key": "three-digit-416-10♥9♣8♠2♠6♠7♠"} {"id": "train-three-digit-0950", "level": "three-digit", "target": 458, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 5 * 13 * (1 + 2 * 3)", "solution_steps": ["2 × 3 = 6", "1 + 6 = 7", "13 × 7 = 91", "5 × 91 = 455", "3 + 455 = 458"], "key": "three-digit-458-A♣5♠K♦3♦2♠3♠"} {"id": "train-three-digit-0951", "level": "three-digit", "target": 293, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "3 + 10 * (10 * (12 - 8) - 11)", "solution_steps": ["12 − 8 = 4", "10 × 4 = 40", "40 − 11 = 29", "10 × 29 = 290", "3 + 290 = 293"], "key": "three-digit-293-J♣3♣Q♣8♥10♣10♠"} {"id": "train-three-digit-0952", "level": "three-digit", "target": 110, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 13 + 6 * (11 + 13 - 8)", "solution_steps": ["11 + 13 = 24", "24 − 8 = 16", "6 × 16 = 96", "13 + 96 = 109", "1 + 109 = 110"], "key": "three-digit-110-6♠A♠8♦K♥K♦J♣"} {"id": "train-three-digit-0953", "level": "three-digit", "target": 803, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "12 * (1 + 11 * (10 - 4)) - 1", "solution_steps": ["10 − 4 = 6", "11 × 6 = 66", "1 + 66 = 67", "12 × 67 = 804", "804 − 1 = 803"], "key": "three-digit-803-A♦Q♠J♦10♥A♥4♥"} {"id": "train-three-digit-0954", "level": "three-digit", "target": 290, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 4 + 3 * 5 * (9 + 10)", "solution_steps": ["9 + 10 = 19", "5 × 19 = 95", "3 × 95 = 285", "4 + 285 = 289", "1 + 289 = 290"], "key": "three-digit-290-9♥10♣5♣3♦A♦4♦"} {"id": "train-three-digit-0955", "level": "three-digit", "target": 738, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 8 * (12 + 5 * (5 + 11))", "solution_steps": ["5 + 11 = 16", "5 × 16 = 80", "12 + 80 = 92", "8 × 92 = 736", "2 + 736 = 738"], "key": "three-digit-738-8♠2♥5♠J♦5♥Q♠"} {"id": "train-three-digit-0956", "level": "three-digit", "target": 589, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "5 + 9 * (7 * 11 - 11) - 10", "solution_steps": ["7 × 11 = 77", "77 − 11 = 66", "9 × 66 = 594", "594 − 10 = 584", "5 + 584 = 589"], "key": "three-digit-589-J♥10♦5♦J♦7♣9♣"} {"id": "train-three-digit-0957", "level": "three-digit", "target": 986, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 * (10 + 8 * (11 * 12 - 10))", "solution_steps": ["11 × 12 = 132", "132 − 10 = 122", "8 × 122 = 976", "10 + 976 = 986", "1 × 986 = 986"], "key": "three-digit-986-A♦8♦10♠Q♣J♦10♥"} {"id": "train-three-digit-0958", "level": "three-digit", "target": 302, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "(1 + 13) * (1 + 9 + 12) - 6", "solution_steps": ["1 + 13 = 14", "9 + 12 = 21", "1 + 21 = 22", "14 × 22 = 308", "308 − 6 = 302"], "key": "three-digit-302-Q♣K♣6♦9♥A♦A♣"} {"id": "train-three-digit-0959", "level": "three-digit", "target": 447, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 + 12 * (1 + 9 * (10 - 6))", "solution_steps": ["10 − 6 = 4", "9 × 4 = 36", "1 + 36 = 37", "12 × 37 = 444", "3 + 444 = 447"], "key": "three-digit-447-6♣3♠10♦A♥9♠Q♦"} {"id": "train-three-digit-0960", "level": "three-digit", "target": 570, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "12 * (4 + 6) * (7 + 12) / 4", "solution_steps": ["4 + 6 = 10", "7 + 12 = 19", "10 × 19 = 190", "12 × 190 = 2280", "2280 ÷ 4 = 570"], "key": "three-digit-570-4♣4♠6♠Q♠Q♥7♣"} {"id": "train-three-digit-0961", "level": "three-digit", "target": 238, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 4 * (2 + 13 + 4 * 11)", "solution_steps": ["4 × 11 = 44", "13 + 44 = 57", "2 + 57 = 59", "4 × 59 = 236", "2 + 236 = 238"], "key": "three-digit-238-2♦J♥4♠K♦4♥2♥"} {"id": "train-three-digit-0962", "level": "three-digit", "target": 705, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 9 * (7 + 6 * 12) - 7", "solution_steps": ["6 × 12 = 72", "7 + 72 = 79", "9 × 79 = 711", "711 − 7 = 704", "1 + 704 = 705"], "key": "three-digit-705-7♣Q♦7♠6♦A♦9♥"} {"id": "train-three-digit-0963", "level": "three-digit", "target": 111, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 6 + 6 + 8 + 9 * 10", "solution_steps": ["9 × 10 = 90", "8 + 90 = 98", "6 + 98 = 104", "6 + 104 = 110", "1 + 110 = 111"], "key": "three-digit-111-6♣10♥A♦8♦6♦9♥"} {"id": "train-three-digit-0964", "level": "three-digit", "target": 297, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "(6 * (9 * 12 - 8) - 6) / 2", "solution_steps": ["9 × 12 = 108", "108 − 8 = 100", "6 × 100 = 600", "600 − 6 = 594", "594 ÷ 2 = 297"], "key": "three-digit-297-9♥6♣Q♠2♥8♥6♦"} {"id": "train-three-digit-0965", "level": "three-digit", "target": 470, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 * 2 * 5 * (6 * 8 - 1)", "solution_steps": ["6 × 8 = 48", "48 − 1 = 47", "5 × 47 = 235", "2 × 235 = 470", "1 × 470 = 470"], "key": "three-digit-470-6♦8♠A♦2♥A♠5♣"} {"id": "train-three-digit-0966", "level": "three-digit", "target": 603, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "(13 - 8) * (4 + 9 * 13) - 2", "solution_steps": ["13 − 8 = 5", "9 × 13 = 117", "4 + 117 = 121", "5 × 121 = 605", "605 − 2 = 603"], "key": "three-digit-603-8♠4♦2♣K♦9♣K♥"} {"id": "train-three-digit-0967", "level": "three-digit", "target": 669, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "5 + 6 * 7 * (6 + 10) - 8", "solution_steps": ["6 + 10 = 16", "7 × 16 = 112", "6 × 112 = 672", "672 − 8 = 664", "5 + 664 = 669"], "key": "three-digit-669-6♦5♠7♠6♣10♥8♦"} {"id": "train-three-digit-0968", "level": "three-digit", "target": 723, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 5 * (2 + 11 * 13) - 3", "solution_steps": ["11 × 13 = 143", "2 + 143 = 145", "5 × 145 = 725", "725 − 3 = 722", "1 + 722 = 723"], "key": "three-digit-723-J♠A♣3♠2♦K♠5♥"} {"id": "train-three-digit-0969", "level": "three-digit", "target": 588, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "11 + 5 * (9 + 9 * 12) - 8", "solution_steps": ["9 × 12 = 108", "9 + 108 = 117", "5 × 117 = 585", "11 + 585 = 596", "596 − 8 = 588"], "key": "three-digit-588-J♥Q♠9♠5♥8♥9♥"} {"id": "train-three-digit-0970", "level": "three-digit", "target": 713, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "2 * 5 * 6 * (3 + 9) - 7", "solution_steps": ["3 + 9 = 12", "6 × 12 = 72", "5 × 72 = 360", "2 × 360 = 720", "720 − 7 = 713"], "key": "three-digit-713-9♥2♠3♥6♠7♥5♣"} {"id": "train-three-digit-0971", "level": "three-digit", "target": 968, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "7 * (11 + 8 * (3 + 13)) - 5", "solution_steps": ["3 + 13 = 16", "8 × 16 = 128", "11 + 128 = 139", "7 × 139 = 973", "973 − 5 = 968"], "key": "three-digit-968-8♥7♠K♠5♣J♦3♥"} {"id": "train-three-digit-0972", "level": "three-digit", "target": 925, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + (4 + 10) * (1 + 5 * 13)", "solution_steps": ["4 + 10 = 14", "5 × 13 = 65", "1 + 65 = 66", "14 × 66 = 924", "1 + 924 = 925"], "key": "three-digit-925-K♣4♠10♣5♦A♦A♥"} {"id": "train-three-digit-0973", "level": "three-digit", "target": 285, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 * 9 * 11 - 8 - 3 - 1", "solution_steps": ["9 × 11 = 99", "3 × 99 = 297", "297 − 8 = 289", "289 − 3 = 286", "286 − 1 = 285"], "key": "three-digit-285-8♠3♦3♥A♦9♣J♦"} {"id": "train-three-digit-0974", "level": "three-digit", "target": 697, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "6 * 9 * 13 * (8 - 7) - 5", "solution_steps": ["8 − 7 = 1", "13 × 1 = 13", "9 × 13 = 117", "6 × 117 = 702", "702 − 5 = 697"], "key": "three-digit-697-9♠7♠6♥K♣5♠8♣"} {"id": "train-three-digit-0975", "level": "three-digit", "target": 872, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 13 * (2 + 5 * (3 + 10))", "solution_steps": ["3 + 10 = 13", "5 × 13 = 65", "2 + 65 = 67", "13 × 67 = 871", "1 + 871 = 872"], "key": "three-digit-872-K♣5♦2♠10♠3♦A♥"} {"id": "train-three-digit-0976", "level": "three-digit", "target": 812, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "4 + 4 * (7 + 13 * (2 + 13))", "solution_steps": ["2 + 13 = 15", "13 × 15 = 195", "7 + 195 = 202", "4 × 202 = 808", "4 + 808 = 812"], "key": "three-digit-812-4♥K♠7♥2♣4♦K♦"} {"id": "train-three-digit-0977", "level": "three-digit", "target": 630, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "8 * (4 + 11) * (8 + 13) / 4", "solution_steps": ["4 + 11 = 15", "8 + 13 = 21", "15 × 21 = 315", "8 × 315 = 2520", "2520 ÷ 4 = 630"], "key": "three-digit-630-J♣K♠8♦4♠8♥4♣"} {"id": "train-three-digit-0978", "level": "three-digit", "target": 104, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 4 + 6 + 9 + 7 * 12", "solution_steps": ["7 × 12 = 84", "9 + 84 = 93", "6 + 93 = 99", "4 + 99 = 103", "1 + 103 = 104"], "key": "three-digit-104-4♠6♦7♠9♠A♣Q♠"} {"id": "train-three-digit-0979", "level": "three-digit", "target": 541, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "6 + 9 * 10 * (13 - 7) - 5", "solution_steps": ["13 − 7 = 6", "10 × 6 = 60", "9 × 60 = 540", "6 + 540 = 546", "546 − 5 = 541"], "key": "three-digit-541-K♦6♦9♥10♥7♠5♥"} {"id": "train-three-digit-0980", "level": "three-digit", "target": 449, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "9 + 4 * 5 * (4 + 7 + 11)", "solution_steps": ["7 + 11 = 18", "4 + 18 = 22", "5 × 22 = 110", "4 × 110 = 440", "9 + 440 = 449"], "key": "three-digit-449-5♠9♦7♣4♠4♣J♣"} {"id": "train-three-digit-0981", "level": "three-digit", "target": 624, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "4 * (13 * 13 - 10) - 9 - 3", "solution_steps": ["13 × 13 = 169", "169 − 10 = 159", "4 × 159 = 636", "636 − 9 = 627", "627 − 3 = 624"], "key": "three-digit-624-K♦3♥9♣4♠K♣10♥"} {"id": "train-three-digit-0982", "level": "three-digit", "target": 327, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 10 * 11 * (9 - 6) - 6", "solution_steps": ["9 − 6 = 3", "11 × 3 = 33", "10 × 33 = 330", "330 − 6 = 324", "3 + 324 = 327"], "key": "three-digit-327-10♠6♠J♦9♣6♥3♦"} {"id": "train-three-digit-0983", "level": "three-digit", "target": 580, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "4 + 3 * 8 * (1 + 10 + 13)", "solution_steps": ["10 + 13 = 23", "1 + 23 = 24", "8 × 24 = 192", "3 × 192 = 576", "4 + 576 = 580"], "key": "three-digit-580-8♠A♠10♦K♣4♥3♦"} {"id": "train-three-digit-0984", "level": "three-digit", "target": 368, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "9 + 9 * (5 * 10 - 10) - 1", "solution_steps": ["5 × 10 = 50", "50 − 10 = 40", "9 × 40 = 360", "9 + 360 = 369", "369 − 1 = 368"], "key": "three-digit-368-9♥10♥A♣5♣9♣10♦"} {"id": "train-three-digit-0985", "level": "three-digit", "target": 547, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 2 * 4 * (7 * 10 - 2)", "solution_steps": ["7 × 10 = 70", "70 − 2 = 68", "4 × 68 = 272", "2 × 272 = 544", "3 + 544 = 547"], "key": "three-digit-547-4♥3♦7♣2♦2♥10♥"} {"id": "train-three-digit-0986", "level": "three-digit", "target": 444, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 * 7 * (11 + 12 - 7) - 4", "solution_steps": ["11 + 12 = 23", "23 − 7 = 16", "7 × 16 = 112", "4 × 112 = 448", "448 − 4 = 444"], "key": "three-digit-444-J♣4♠Q♥7♥7♣4♣"} {"id": "train-three-digit-0987", "level": "three-digit", "target": 320, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "13 * (1 + 10 * 12 / 5) - 5", "solution_steps": ["10 × 12 = 120", "120 ÷ 5 = 24", "1 + 24 = 25", "13 × 25 = 325", "325 − 5 = 320"], "key": "three-digit-320-K♠A♠Q♠5♣5♥10♠"} {"id": "train-three-digit-0988", "level": "three-digit", "target": 437, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "5 * 8 * (7 + 8 - 4) - 3", "solution_steps": ["7 + 8 = 15", "15 − 4 = 11", "8 × 11 = 88", "5 × 88 = 440", "440 − 3 = 437"], "key": "three-digit-437-4♦5♠8♣7♣8♥3♣"} {"id": "train-three-digit-0989", "level": "three-digit", "target": 878, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 12 * (6 + 8 * 9 - 5)", "solution_steps": ["8 × 9 = 72", "6 + 72 = 78", "78 − 5 = 73", "12 × 73 = 876", "2 + 876 = 878"], "key": "three-digit-878-8♣9♠6♦Q♣2♦5♥"} {"id": "train-three-digit-0990", "level": "three-digit", "target": 766, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "8 * 9 * 11 - 12 - 10 - 4", "solution_steps": ["9 × 11 = 99", "8 × 99 = 792", "792 − 12 = 780", "780 − 10 = 770", "770 − 4 = 766"], "key": "three-digit-766-Q♥4♣8♦10♠J♣9♣"} {"id": "train-three-digit-0991", "level": "three-digit", "target": 401, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + 7 * (7 + 10 + 4 * 10)", "solution_steps": ["4 × 10 = 40", "10 + 40 = 50", "7 + 50 = 57", "7 × 57 = 399", "2 + 399 = 401"], "key": "three-digit-401-7♠4♠10♣2♣10♦7♣"} {"id": "train-three-digit-0992", "level": "three-digit", "target": 811, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "9 * 13 * (10 - 3) - 6 - 2", "solution_steps": ["10 − 3 = 7", "13 × 7 = 91", "9 × 91 = 819", "819 − 6 = 813", "813 − 2 = 811"], "key": "three-digit-811-6♠K♥3♦2♠10♠9♠"} {"id": "train-three-digit-0993", "level": "three-digit", "target": 118, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 3 + 8 + 10 * 11 - 5", "solution_steps": ["10 × 11 = 110", "8 + 110 = 118", "118 − 5 = 113", "3 + 113 = 116", "2 + 116 = 118"], "key": "three-digit-118-3♥10♦5♥8♦J♠2♥"} {"id": "train-three-digit-0994", "level": "three-digit", "target": 638, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 * 11 * (13 + 5 * (3 + 6))", "solution_steps": ["3 + 6 = 9", "5 × 9 = 45", "13 + 45 = 58", "11 × 58 = 638", "1 × 638 = 638"], "key": "three-digit-638-5♦A♠6♦3♠J♣K♦"} {"id": "train-three-digit-0995", "level": "three-digit", "target": 905, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "7 * (3 + 10 + 9 * 13) - 5", "solution_steps": ["9 × 13 = 117", "10 + 117 = 127", "3 + 127 = 130", "7 × 130 = 910", "910 − 5 = 905"], "key": "three-digit-905-5♠K♥3♣10♦7♦9♥"} {"id": "train-three-digit-0996", "level": "three-digit", "target": 651, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "(2 + 5) * (8 * (2 + 10) - 3)", "solution_steps": ["2 + 5 = 7", "2 + 10 = 12", "8 × 12 = 96", "96 − 3 = 93", "7 × 93 = 651"], "key": "three-digit-651-2♥3♣10♠5♣2♦8♠"} {"id": "train-three-digit-0997", "level": "three-digit", "target": 257, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 8 + 8 + 5 * 6 * 8", "solution_steps": ["6 × 8 = 48", "5 × 48 = 240", "8 + 240 = 248", "8 + 248 = 256", "1 + 256 = 257"], "key": "three-digit-257-8♠8♥5♥A♦6♣8♣"} {"id": "train-three-digit-0998", "level": "three-digit", "target": 500, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 * ((4 + 8) * (8 + 13) - 2)", "solution_steps": ["4 + 8 = 12", "8 + 13 = 21", "12 × 21 = 252", "252 − 2 = 250", "2 × 250 = 500"], "key": "three-digit-500-4♠8♦2♥2♣K♣8♥"} {"id": "train-three-digit-0999", "level": "three-digit", "target": 652, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + 9 * (7 * 12 - 11) - 8", "solution_steps": ["7 × 12 = 84", "84 − 11 = 73", "9 × 73 = 657", "657 − 8 = 649", "3 + 649 = 652"], "key": "three-digit-652-8♣J♦3♠7♣9♥Q♣"} {"id": "train-year-0000", "level": "year", "target": 2055, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 8 + 9 * 12 * (5 + 7 + 7) - 6", "solution_steps": ["7 + 7 = 14", "5 + 14 = 19", "12 × 19 = 228", "9 × 228 = 2052", "8 + 2052 = 2060", "2060 − 6 = 2054", "1 + 2054 = 2055"], "key": "year-2055-7♣9♣8♥Q♥7♥5♣6♣A♠"} {"id": "train-year-0001", "level": "year", "target": 1994, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 5 + 12 * (6 * 13 + 8 * 11) - 5", "solution_steps": ["6 × 13 = 78", "8 × 11 = 88", "78 + 88 = 166", "12 × 166 = 1992", "1992 − 5 = 1987", "5 + 1987 = 1992", "2 + 1992 = 1994"], "key": "year-1994-J♠8♦2♣5♦Q♥5♥6♥K♥"} {"id": "train-year-0002", "level": "year", "target": 2000, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 2 + 5 * 10 * (7 * 7 - 9) - 3", "solution_steps": ["7 × 7 = 49", "49 − 9 = 40", "10 × 40 = 400", "5 × 400 = 2000", "2000 − 3 = 1997", "2 + 1997 = 1999", "1 + 1999 = 2000"], "key": "year-2000-A♣3♣5♦10♠9♥2♥7♦7♠"} {"id": "train-year-0003", "level": "year", "target": 2087, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 2 + 10 * 11 * (2 + 5 + 12) - 6", "solution_steps": ["5 + 12 = 17", "2 + 17 = 19", "11 × 19 = 209", "10 × 209 = 2090", "2090 − 6 = 2084", "2 + 2084 = 2086", "1 + 2086 = 2087"], "key": "year-2087-10♠A♦2♠5♥Q♥2♣J♦6♠"} {"id": "train-year-0004", "level": "year", "target": 1974, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 2 + 3 + 8 * (6 + 4 * 5 * 12)", "solution_steps": ["5 × 12 = 60", "4 × 60 = 240", "6 + 240 = 246", "8 × 246 = 1968", "3 + 1968 = 1971", "2 + 1971 = 1973", "1 + 1973 = 1974"], "key": "year-1974-A♥Q♦4♦8♥2♠5♠3♥6♣"} {"id": "train-year-0005", "level": "year", "target": 1986, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "2 + 3 + 9 + (5 + 12) * (6 + 10 * 11)", "solution_steps": ["5 + 12 = 17", "10 × 11 = 110", "6 + 110 = 116", "17 × 116 = 1972", "9 + 1972 = 1981", "3 + 1981 = 1984", "2 + 1984 = 1986"], "key": "year-1986-3♣10♠Q♠2♥6♦9♠5♥J♦"} {"id": "train-year-0006", "level": "year", "target": 1982, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 5 + 4 * (6 + 8 + 6 * 8 * 10)", "solution_steps": ["8 × 10 = 80", "6 × 80 = 480", "8 + 480 = 488", "6 + 488 = 494", "4 × 494 = 1976", "5 + 1976 = 1981", "1 + 1981 = 1982"], "key": "year-1982-6♣8♥8♦10♠5♥A♣4♣6♠"} {"id": "train-year-0007", "level": "year", "target": 2006, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 4 + 12 * (7 + 10 * (7 + 9)) - 5", "solution_steps": ["7 + 9 = 16", "10 × 16 = 160", "7 + 160 = 167", "12 × 167 = 2004", "2004 − 5 = 1999", "4 + 1999 = 2003", "3 + 2003 = 2006"], "key": "year-2006-4♣7♣5♦9♦7♥Q♥10♥3♣"} {"id": "train-year-0008", "level": "year", "target": 1905, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 2 * (3 + 11) * (6 * 12 - 3 - 1)", "solution_steps": ["3 + 11 = 14", "6 × 12 = 72", "72 − 3 = 69", "69 − 1 = 68", "14 × 68 = 952", "2 × 952 = 1904", "1 + 1904 = 1905"], "key": "year-1905-2♥6♦3♣A♣A♠Q♣J♠3♦"} {"id": "train-year-0009", "level": "year", "target": 2050, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 4 * (6 + 11 * (6 + 8 * (13 - 8)))", "solution_steps": ["13 − 8 = 5", "8 × 5 = 40", "6 + 40 = 46", "11 × 46 = 506", "6 + 506 = 512", "4 × 512 = 2048", "2 + 2048 = 2050"], "key": "year-2050-4♦8♣6♦J♥8♠2♥K♣6♣"} {"id": "train-year-0010", "level": "year", "target": 1954, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 2 + 5 + 10 * 13 * (6 + 9) - 4", "solution_steps": ["6 + 9 = 15", "13 × 15 = 195", "10 × 195 = 1950", "5 + 1950 = 1955", "1955 − 4 = 1951", "2 + 1951 = 1953", "1 + 1953 = 1954"], "key": "year-1954-2♣9♥4♠6♥5♥K♥A♣10♣"} {"id": "train-year-0011", "level": "year", "target": 2021, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "3 + (13 - 5) * (12 * (11 + 11) - 11) - 6", "solution_steps": ["13 − 5 = 8", "11 + 11 = 22", "12 × 22 = 264", "264 − 11 = 253", "8 × 253 = 2024", "2024 − 6 = 2018", "3 + 2018 = 2021"], "key": "year-2021-6♥5♠J♦3♠J♥Q♦J♠K♥"} {"id": "train-year-0012", "level": "year", "target": 1933, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 6 + 7 * (11 + 11 * (3 * 12 - 12))", "solution_steps": ["3 × 12 = 36", "36 − 12 = 24", "11 × 24 = 264", "11 + 264 = 275", "7 × 275 = 1925", "6 + 1925 = 1931", "2 + 1931 = 1933"], "key": "year-1933-J♥2♥Q♥J♠7♦3♦6♥Q♦"} {"id": "train-year-0013", "level": "year", "target": 2072, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "2 + 7 * 8 * (5 * 10 - 8 - 5) - 2", "solution_steps": ["5 × 10 = 50", "50 − 8 = 42", "42 − 5 = 37", "8 × 37 = 296", "7 × 296 = 2072", "2072 − 2 = 2070", "2 + 2070 = 2072"], "key": "year-2072-8♦5♠5♣2♠10♣8♠2♦7♥"} {"id": "train-year-0014", "level": "year", "target": 2023, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "2 + 2 + 7 * 10 * (9 + 4 * 5) - 11", "solution_steps": ["4 × 5 = 20", "9 + 20 = 29", "10 × 29 = 290", "7 × 290 = 2030", "2030 − 11 = 2019", "2 + 2019 = 2021", "2 + 2021 = 2023"], "key": "year-2023-9♠10♠2♦2♥J♥4♦7♣5♣"} {"id": "train-year-0015", "level": "year", "target": 1918, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 6 * 10 * (5 + 3 * 9) - 2 - 1", "solution_steps": ["3 × 9 = 27", "5 + 27 = 32", "10 × 32 = 320", "6 × 320 = 1920", "1920 − 2 = 1918", "1918 − 1 = 1917", "1 + 1917 = 1918"], "key": "year-1918-A♦6♣3♣9♠5♦A♣10♠2♠"} {"id": "train-year-0016", "level": "year", "target": 1972, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 3 + 6 * (5 + (6 + 11) * (9 + 10))", "solution_steps": ["6 + 11 = 17", "9 + 10 = 19", "17 × 19 = 323", "5 + 323 = 328", "6 × 328 = 1968", "3 + 1968 = 1971", "1 + 1971 = 1972"], "key": "year-1972-9♠J♠10♠6♣3♠5♠A♣6♥"} {"id": "train-year-0017", "level": "year", "target": 1905, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 6 + (6 + 7) * (7 * 8 + 9 * 10)", "solution_steps": ["6 + 7 = 13", "7 × 8 = 56", "9 × 10 = 90", "56 + 90 = 146", "13 × 146 = 1898", "6 + 1898 = 1904", "1 + 1904 = 1905"], "key": "year-1905-7♠9♣7♥8♥10♣A♠6♥6♠"} {"id": "train-year-0018", "level": "year", "target": 2079, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 2 + 6 * (11 * 11 + 9 * (12 + 13))", "solution_steps": ["11 × 11 = 121", "12 + 13 = 25", "9 × 25 = 225", "121 + 225 = 346", "6 × 346 = 2076", "2 + 2076 = 2078", "1 + 2078 = 2079"], "key": "year-2079-A♣6♥J♥Q♦9♥2♥K♥J♣"} {"id": "train-year-0019", "level": "year", "target": 1956, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 + (7 * 7 * 10 * 12 - 13 - 5) / 3", "solution_steps": ["10 × 12 = 120", "7 × 120 = 840", "7 × 840 = 5880", "5880 − 13 = 5867", "5867 − 5 = 5862", "5862 ÷ 3 = 1954", "2 + 1954 = 1956"], "key": "year-1956-K♠7♣2♦Q♦3♦5♦7♥10♠"} {"id": "train-year-0020", "level": "year", "target": 2020, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + 2 + 4 * 7 * 8 * (7 + 13 - 11)", "solution_steps": ["13 − 11 = 2", "7 + 2 = 9", "8 × 9 = 72", "7 × 72 = 504", "4 × 504 = 2016", "2 + 2016 = 2018", "2 + 2018 = 2020"], "key": "year-2020-2♥7♠K♥4♥2♦8♣J♥7♣"} {"id": "train-year-0021", "level": "year", "target": 2080, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 8 + 9 * (10 * (12 + 12) - 9) - 8", "solution_steps": ["12 + 12 = 24", "10 × 24 = 240", "240 − 9 = 231", "9 × 231 = 2079", "2079 − 8 = 2071", "8 + 2071 = 2079", "1 + 2079 = 2080"], "key": "year-2080-10♠8♣9♦Q♥Q♠A♠9♥8♦"} {"id": "train-year-0022", "level": "year", "target": 1979, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 4 + 3 * 7 * (10 * 11 - 10 - 6)", "solution_steps": ["10 × 11 = 110", "110 − 10 = 100", "100 − 6 = 94", "7 × 94 = 658", "3 × 658 = 1974", "4 + 1974 = 1978", "1 + 1978 = 1979"], "key": "year-1979-10♥J♣A♠10♠3♠7♥4♦6♥"} {"id": "train-year-0023", "level": "year", "target": 1904, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 9 * (6 * 7 + 10 * (6 + 11)) - 5", "solution_steps": ["6 × 7 = 42", "6 + 11 = 17", "10 × 17 = 170", "42 + 170 = 212", "9 × 212 = 1908", "1908 − 5 = 1903", "1 + 1903 = 1904"], "key": "year-1904-7♣J♥A♠5♣10♣9♥6♦6♠"} {"id": "train-year-0024", "level": "year", "target": 1939, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + 5 + 6 + 11 * 11 * (6 + 10) - 10", "solution_steps": ["6 + 10 = 16", "11 × 16 = 176", "11 × 176 = 1936", "1936 − 10 = 1926", "6 + 1926 = 1932", "5 + 1932 = 1937", "2 + 1937 = 1939"], "key": "year-1939-J♦10♣6♣5♦10♦J♠2♦6♦"} {"id": "train-year-0025", "level": "year", "target": 1980, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "5 + 6 * 11 * (13 * (12 - 9) - 9) - 5", "solution_steps": ["12 − 9 = 3", "13 × 3 = 39", "39 − 9 = 30", "11 × 30 = 330", "6 × 330 = 1980", "1980 − 5 = 1975", "5 + 1975 = 1980"], "key": "year-1980-5♦J♦6♦5♣9♣K♣9♥Q♦"} {"id": "train-year-0026", "level": "year", "target": 2098, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 1 + (5 + 11) * (12 * 12 - 7 - 6)", "solution_steps": ["5 + 11 = 16", "12 × 12 = 144", "144 − 7 = 137", "137 − 6 = 131", "16 × 131 = 2096", "1 + 2096 = 2097", "1 + 2097 = 2098"], "key": "year-2098-A♥Q♥5♣J♣Q♣A♠6♣7♠"} {"id": "train-year-0027", "level": "year", "target": 1997, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 3 + 6 * (11 * (8 + 10 + 13) - 9)", "solution_steps": ["10 + 13 = 23", "8 + 23 = 31", "11 × 31 = 341", "341 − 9 = 332", "6 × 332 = 1992", "3 + 1992 = 1995", "2 + 1995 = 1997"], "key": "year-1997-10♥2♦K♦J♦3♠9♦6♥8♦"} {"id": "train-year-0028", "level": "year", "target": 1916, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 3 + 12 * (3 * 13 + 11 * 11) - 8", "solution_steps": ["3 × 13 = 39", "11 × 11 = 121", "39 + 121 = 160", "12 × 160 = 1920", "1920 − 8 = 1912", "3 + 1912 = 1915", "1 + 1915 = 1916"], "key": "year-1916-Q♣J♦A♥J♥8♣K♥3♠3♦"} {"id": "train-year-0029", "level": "year", "target": 2007, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 1 + 10 + (8 + 13) * (8 * 13 - 9)", "solution_steps": ["8 + 13 = 21", "8 × 13 = 104", "104 − 9 = 95", "21 × 95 = 1995", "10 + 1995 = 2005", "1 + 2005 = 2006", "1 + 2006 = 2007"], "key": "year-2007-A♣8♠K♠9♦10♠8♣A♥K♦"} {"id": "train-year-0030", "level": "year", "target": 2027, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 7 + 6 * (4 + 10) * (11 + 13)", "solution_steps": ["4 + 10 = 14", "11 + 13 = 24", "14 × 24 = 336", "6 × 336 = 2016", "7 + 2016 = 2023", "2 + 2023 = 2025", "2 + 2025 = 2027"], "key": "year-2027-4♦7♦J♥6♦K♣2♦10♣2♣"} {"id": "train-year-0031", "level": "year", "target": 1960, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 3 + 12 * (8 + 12 * (3 + 11) - 13)", "solution_steps": ["3 + 11 = 14", "12 × 14 = 168", "168 − 13 = 155", "8 + 155 = 163", "12 × 163 = 1956", "3 + 1956 = 1959", "1 + 1959 = 1960"], "key": "year-1960-8♣Q♠3♥3♠Q♥A♣K♦J♦"} {"id": "train-year-0032", "level": "year", "target": 2066, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "5 + 6 + 11 * (8 + 9 * (7 + 13)) - 13", "solution_steps": ["7 + 13 = 20", "9 × 20 = 180", "8 + 180 = 188", "11 × 188 = 2068", "2068 − 13 = 2055", "6 + 2055 = 2061", "5 + 2061 = 2066"], "key": "year-2066-9♣8♥7♥K♦5♣K♠J♥6♦"} {"id": "train-year-0033", "level": "year", "target": 2049, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 * 2 * (7 + 9) * (5 * 7 - 3)", "solution_steps": ["7 + 9 = 16", "5 × 7 = 35", "35 − 3 = 32", "16 × 32 = 512", "2 × 512 = 1024", "2 × 1024 = 2048", "1 + 2048 = 2049"], "key": "year-2049-3♣9♣7♠5♥2♥A♠7♥2♠"} {"id": "train-year-0034", "level": "year", "target": 2034, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + (4 + 7) * (5 + 12 * (6 + 9)) - 3", "solution_steps": ["4 + 7 = 11", "6 + 9 = 15", "12 × 15 = 180", "5 + 180 = 185", "11 × 185 = 2035", "2035 − 3 = 2032", "2 + 2032 = 2034"], "key": "year-2034-5♠3♣2♥4♣Q♥6♦9♣7♣"} {"id": "train-year-0035", "level": "year", "target": 2014, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 3 + (8 + 10) * (11 * 11 - 9) - 6", "solution_steps": ["8 + 10 = 18", "11 × 11 = 121", "121 − 9 = 112", "18 × 112 = 2016", "2016 − 6 = 2010", "3 + 2010 = 2013", "1 + 2013 = 2014"], "key": "year-2014-8♣3♥J♥A♦6♥J♣9♥10♠"} {"id": "train-year-0036", "level": "year", "target": 2005, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 * (4 + 4 * (10 + 12 * (6 + 7)))", "solution_steps": ["6 + 7 = 13", "12 × 13 = 156", "10 + 156 = 166", "4 × 166 = 664", "4 + 664 = 668", "3 × 668 = 2004", "1 + 2004 = 2005"], "key": "year-2005-A♥4♣4♠Q♠6♠10♦7♦3♣"} {"id": "train-year-0037", "level": "year", "target": 2042, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 4 + 6 + 7 * 10 * (8 + 9 + 12)", "solution_steps": ["9 + 12 = 21", "8 + 21 = 29", "10 × 29 = 290", "7 × 290 = 2030", "6 + 2030 = 2036", "4 + 2036 = 2040", "2 + 2040 = 2042"], "key": "year-2042-7♥10♣9♠Q♥6♦2♥4♥8♠"} {"id": "train-year-0038", "level": "year", "target": 2035, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 8 * (3 + 3 * 7 * 12) - 4 - 2", "solution_steps": ["7 × 12 = 84", "3 × 84 = 252", "3 + 252 = 255", "8 × 255 = 2040", "2040 − 4 = 2036", "2036 − 2 = 2034", "1 + 2034 = 2035"], "key": "year-2035-3♣7♦3♦8♣2♣4♣Q♠A♠"} {"id": "train-year-0039", "level": "year", "target": 2093, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "4 + 5 + 8 + 12 * (7 * 9 + 10 * 11)", "solution_steps": ["7 × 9 = 63", "10 × 11 = 110", "63 + 110 = 173", "12 × 173 = 2076", "8 + 2076 = 2084", "5 + 2084 = 2089", "4 + 2089 = 2093"], "key": "year-2093-10♥7♣J♦5♥Q♠4♠9♦8♣"} {"id": "train-year-0040", "level": "year", "target": 1983, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + 4 + 8 * 13 * (9 + 11 - (13 - 12))", "solution_steps": ["13 − 12 = 1", "11 − 1 = 10", "9 + 10 = 19", "13 × 19 = 247", "8 × 247 = 1976", "4 + 1976 = 1980", "3 + 1980 = 1983"], "key": "year-1983-8♣4♥K♦9♣J♥K♠3♣Q♥"} {"id": "train-year-0041", "level": "year", "target": 1950, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 5 + 3 * (5 * 6 * (10 + 12) - 12)", "solution_steps": ["10 + 12 = 22", "6 × 22 = 132", "5 × 132 = 660", "660 − 12 = 648", "3 × 648 = 1944", "5 + 1944 = 1949", "1 + 1949 = 1950"], "key": "year-1950-3♠Q♦5♠10♦6♣Q♣A♦5♣"} {"id": "train-year-0042", "level": "year", "target": 2096, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 5 + 10 * 11 * (1 + 2 * (1 + 8))", "solution_steps": ["1 + 8 = 9", "2 × 9 = 18", "1 + 18 = 19", "11 × 19 = 209", "10 × 209 = 2090", "5 + 2090 = 2095", "1 + 2095 = 2096"], "key": "year-2096-10♦5♣2♦A♠8♦A♦A♣J♦"} {"id": "train-year-0043", "level": "year", "target": 2004, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 1 + 1 * 11 * (12 * (3 + 13) - 10)", "solution_steps": ["3 + 13 = 16", "12 × 16 = 192", "192 − 10 = 182", "11 × 182 = 2002", "1 × 2002 = 2002", "1 + 2002 = 2003", "1 + 2003 = 2004"], "key": "year-2004-10♥3♥A♦K♦Q♠A♠A♣J♠"} {"id": "train-year-0044", "level": "year", "target": 2005, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 4 + 11 + 13 * (9 + 12 * (5 + 7))", "solution_steps": ["5 + 7 = 12", "12 × 12 = 144", "9 + 144 = 153", "13 × 153 = 1989", "11 + 1989 = 2000", "4 + 2000 = 2004", "1 + 2004 = 2005"], "key": "year-2005-J♦Q♣9♠5♦A♥7♥K♠4♥"} {"id": "train-year-0045", "level": "year", "target": 1927, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 + 12 + 8 * (5 * 7 * 7 - 5) - 8", "solution_steps": ["7 × 7 = 49", "5 × 49 = 245", "245 − 5 = 240", "8 × 240 = 1920", "12 + 1920 = 1932", "1932 − 8 = 1924", "3 + 1924 = 1927"], "key": "year-1927-3♠Q♣7♠7♥5♥8♥8♦5♣"} {"id": "train-year-0046", "level": "year", "target": 1944, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 3 + 8 + 11 * 11 * (6 + 10) - 5", "solution_steps": ["6 + 10 = 16", "11 × 16 = 176", "11 × 176 = 1936", "8 + 1936 = 1944", "1944 − 5 = 1939", "3 + 1939 = 1942", "2 + 1942 = 1944"], "key": "year-1944-3♦6♥5♠J♥J♣2♣8♥10♥"} {"id": "train-year-0047", "level": "year", "target": 2071, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 6 + 10 * (3 * 6 * 12 - 9) - 7", "solution_steps": ["6 × 12 = 72", "3 × 72 = 216", "216 − 9 = 207", "10 × 207 = 2070", "2070 − 7 = 2063", "6 + 2063 = 2069", "2 + 2069 = 2071"], "key": "year-2071-9♦10♠6♥3♠2♦Q♦6♦7♠"} {"id": "train-year-0048", "level": "year", "target": 1934, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "4 + 4 + 6 * (10 * (8 + 5 * 5) - 9)", "solution_steps": ["5 × 5 = 25", "8 + 25 = 33", "10 × 33 = 330", "330 − 9 = 321", "6 × 321 = 1926", "4 + 1926 = 1930", "4 + 1930 = 1934"], "key": "year-1934-4♠8♥4♣9♥5♠5♥10♠6♣"} {"id": "train-year-0049", "level": "year", "target": 1925, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 4 + 6 + 7 * 13 * (10 + 11)", "solution_steps": ["10 + 11 = 21", "13 × 21 = 273", "7 × 273 = 1911", "6 + 1911 = 1917", "4 + 1917 = 1921", "3 + 1921 = 1924", "1 + 1924 = 1925"], "key": "year-1925-J♠K♥A♦7♣4♠6♠10♥3♠"} {"id": "train-year-0050", "level": "year", "target": 2092, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + 3 + 8 + 7 * (9 + 4 * 6 * 12)", "solution_steps": ["6 × 12 = 72", "4 × 72 = 288", "9 + 288 = 297", "7 × 297 = 2079", "8 + 2079 = 2087", "3 + 2087 = 2090", "2 + 2090 = 2092"], "key": "year-2092-2♣4♦Q♦8♥7♦9♣3♣6♦"} {"id": "train-year-0051", "level": "year", "target": 2001, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "5 + 7 + 9 + 10 * 11 * (12 + 13 - 7)", "solution_steps": ["12 + 13 = 25", "25 − 7 = 18", "11 × 18 = 198", "10 × 198 = 1980", "9 + 1980 = 1989", "7 + 1989 = 1996", "5 + 1996 = 2001"], "key": "year-2001-Q♣7♥K♥J♦5♣9♦10♥7♣"} {"id": "train-year-0052", "level": "year", "target": 1986, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 2 + 10 + 8 * 13 * (6 + 13) - 3", "solution_steps": ["6 + 13 = 19", "13 × 19 = 247", "8 × 247 = 1976", "10 + 1976 = 1986", "1986 − 3 = 1983", "2 + 1983 = 1985", "1 + 1985 = 1986"], "key": "year-1986-2♦K♥A♥6♠10♥8♣K♠3♣"} {"id": "train-year-0053", "level": "year", "target": 2022, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 3 * (13 + 11 * (12 + 6 * 8))", "solution_steps": ["6 × 8 = 48", "12 + 48 = 60", "11 × 60 = 660", "13 + 660 = 673", "3 × 673 = 2019", "2 + 2019 = 2021", "1 + 2021 = 2022"], "key": "year-2022-2♥6♥8♠Q♦K♦3♥J♣A♣"} {"id": "train-year-0054", "level": "year", "target": 2024, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 2 * (3 * (13 + 5 * 5 * 13) - 3)", "solution_steps": ["5 × 13 = 65", "5 × 65 = 325", "13 + 325 = 338", "3 × 338 = 1014", "1014 − 3 = 1011", "2 × 1011 = 2022", "2 + 2022 = 2024"], "key": "year-2024-3♣K♠3♥K♣2♣5♣2♥5♦"} {"id": "train-year-0055", "level": "year", "target": 1959, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "4 + 5 + 7 * 8 * (9 + 13 + 13) - 10", "solution_steps": ["13 + 13 = 26", "9 + 26 = 35", "8 × 35 = 280", "7 × 280 = 1960", "1960 − 10 = 1950", "5 + 1950 = 1955", "4 + 1955 = 1959"], "key": "year-1959-10♦7♥9♥5♥K♥4♦K♠8♣"} {"id": "train-year-0056", "level": "year", "target": 2060, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "6 + 6 + 13 * (7 + 8 + 11 * 13) - 6", "solution_steps": ["11 × 13 = 143", "8 + 143 = 151", "7 + 151 = 158", "13 × 158 = 2054", "2054 − 6 = 2048", "6 + 2048 = 2054", "6 + 2054 = 2060"], "key": "year-2060-6♦6♠J♣K♥8♦K♠6♣7♥"} {"id": "train-year-0057", "level": "year", "target": 2034, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 4 + 6 * (6 + 7 + 13 * (12 + 13))", "solution_steps": ["12 + 13 = 25", "13 × 25 = 325", "7 + 325 = 332", "6 + 332 = 338", "6 × 338 = 2028", "4 + 2028 = 2032", "2 + 2032 = 2034"], "key": "year-2034-6♦Q♦4♠K♠6♣2♣7♦K♥"} {"id": "train-year-0058", "level": "year", "target": 2084, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "4 + 4 + 6 * (9 * 11 + 13 * (6 + 13))", "solution_steps": ["9 × 11 = 99", "6 + 13 = 19", "13 × 19 = 247", "99 + 247 = 346", "6 × 346 = 2076", "4 + 2076 = 2080", "4 + 2080 = 2084"], "key": "year-2084-6♦9♣4♥K♣J♣6♥K♦4♠"} {"id": "train-year-0059", "level": "year", "target": 2084, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "3 + (11 + 8 * 10 * 10 * 13 - 6) / 5", "solution_steps": ["10 × 13 = 130", "10 × 130 = 1300", "8 × 1300 = 10400", "11 + 10400 = 10411", "10411 − 6 = 10405", "10405 ÷ 5 = 2081", "3 + 2081 = 2084"], "key": "year-2084-3♥6♦J♥5♠10♦10♣8♠K♦"} {"id": "train-year-0060", "level": "year", "target": 1925, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 5 * (10 * (7 + 4 * 8) - 5) - 1", "solution_steps": ["4 × 8 = 32", "7 + 32 = 39", "10 × 39 = 390", "390 − 5 = 385", "5 × 385 = 1925", "1925 − 1 = 1924", "1 + 1924 = 1925"], "key": "year-1925-5♣5♦10♣4♦A♦7♠A♣8♥"} {"id": "train-year-0061", "level": "year", "target": 1952, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "3 + 7 * (6 + 7 * (4 * 12 - 9)) - 4", "solution_steps": ["4 × 12 = 48", "48 − 9 = 39", "7 × 39 = 273", "6 + 273 = 279", "7 × 279 = 1953", "1953 − 4 = 1949", "3 + 1949 = 1952"], "key": "year-1952-9♦Q♦6♠3♦7♣7♠4♣4♥"} {"id": "train-year-0062", "level": "year", "target": 2014, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 2 * 7 * 9 * (13 + 12 / 4) - 4", "solution_steps": ["12 ÷ 4 = 3", "13 + 3 = 16", "9 × 16 = 144", "7 × 144 = 1008", "2 × 1008 = 2016", "2016 − 4 = 2012", "2 + 2012 = 2014"], "key": "year-2014-7♦4♠9♦4♣Q♦2♠2♥K♠"} {"id": "train-year-0063", "level": "year", "target": 2014, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 10 + 13 * (6 * 11 + 8 * 11)", "solution_steps": ["6 × 11 = 66", "8 × 11 = 88", "66 + 88 = 154", "13 × 154 = 2002", "10 + 2002 = 2012", "1 + 2012 = 2013", "1 + 2013 = 2014"], "key": "year-2014-J♠6♠8♠10♦K♦J♣A♥A♣"} {"id": "train-year-0064", "level": "year", "target": 2083, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "2 + (9 + 11 - 5) * (12 * 12 - 5) - 4", "solution_steps": ["9 + 11 = 20", "20 − 5 = 15", "12 × 12 = 144", "144 − 5 = 139", "15 × 139 = 2085", "2085 − 4 = 2081", "2 + 2081 = 2083"], "key": "year-2083-Q♦4♠5♠9♥J♠5♣2♣Q♥"} {"id": "train-year-0065", "level": "year", "target": 1956, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 4 + 10 * (7 + 8) * (12 + 9 / 9)", "solution_steps": ["7 + 8 = 15", "9 ÷ 9 = 1", "12 + 1 = 13", "15 × 13 = 195", "10 × 195 = 1950", "4 + 1950 = 1954", "2 + 1954 = 1956"], "key": "year-1956-10♣2♠7♠9♠Q♠9♦8♥4♦"} {"id": "train-year-0066", "level": "year", "target": 1987, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 6 + 11 * (8 * (7 + 4 * 4) - 4)", "solution_steps": ["4 × 4 = 16", "7 + 16 = 23", "8 × 23 = 184", "184 − 4 = 180", "11 × 180 = 1980", "6 + 1980 = 1986", "1 + 1986 = 1987"], "key": "year-1987-4♦7♦A♠8♦4♥J♥6♠4♠"} {"id": "train-year-0067", "level": "year", "target": 1901, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "4 + 7 + 10 * (8 + 8 * (11 + 13) - 11)", "solution_steps": ["11 + 13 = 24", "8 × 24 = 192", "192 − 11 = 181", "8 + 181 = 189", "10 × 189 = 1890", "7 + 1890 = 1897", "4 + 1897 = 1901"], "key": "year-1901-10♠K♥J♠4♦J♣8♠7♦8♥"} {"id": "train-year-0068", "level": "year", "target": 2059, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "3 + 6 + 5 * 5 * (5 + 9 * 10 - 13)", "solution_steps": ["9 × 10 = 90", "90 − 13 = 77", "5 + 77 = 82", "5 × 82 = 410", "5 × 410 = 2050", "6 + 2050 = 2056", "3 + 2056 = 2059"], "key": "year-2059-5♠6♠9♠3♣5♣5♦10♠K♦"} {"id": "train-year-0069", "level": "year", "target": 2084, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + 3 + 7 * (9 + 8 * 9 * (10 - 6))", "solution_steps": ["10 − 6 = 4", "9 × 4 = 36", "8 × 36 = 288", "9 + 288 = 297", "7 × 297 = 2079", "3 + 2079 = 2082", "2 + 2082 = 2084"], "key": "year-2084-10♦8♠9♥2♦3♠7♦6♦9♠"} {"id": "train-year-0070", "level": "year", "target": 1997, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 4 + 12 * (7 * (4 * 7 - 3) - 9)", "solution_steps": ["4 × 7 = 28", "28 − 3 = 25", "7 × 25 = 175", "175 − 9 = 166", "12 × 166 = 1992", "4 + 1992 = 1996", "1 + 1996 = 1997"], "key": "year-1997-4♠4♥7♠3♠Q♣A♥7♦9♠"} {"id": "train-year-0071", "level": "year", "target": 1943, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 2 + 10 * (2 + 4 * (6 + 6 * 7))", "solution_steps": ["6 × 7 = 42", "6 + 42 = 48", "4 × 48 = 192", "2 + 192 = 194", "10 × 194 = 1940", "2 + 1940 = 1942", "1 + 1942 = 1943"], "key": "year-1943-7♥A♥10♥4♣2♥6♣6♠2♦"} {"id": "train-year-0072", "level": "year", "target": 2032, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 7 + 11 * (7 * 10 + 6 * (9 + 10))", "solution_steps": ["7 × 10 = 70", "9 + 10 = 19", "6 × 19 = 114", "70 + 114 = 184", "11 × 184 = 2024", "7 + 2024 = 2031", "1 + 2031 = 2032"], "key": "year-2032-7♠9♣J♥6♥10♣10♠A♦7♦"} {"id": "train-year-0073", "level": "year", "target": 1969, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 4 + 5 + (5 + 6) * (9 + 13 * 13)", "solution_steps": ["5 + 6 = 11", "13 × 13 = 169", "9 + 169 = 178", "11 × 178 = 1958", "5 + 1958 = 1963", "4 + 1963 = 1967", "2 + 1967 = 1969"], "key": "year-1969-K♦4♠2♣6♥5♠5♣9♠K♣"} {"id": "train-year-0074", "level": "year", "target": 1913, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 8 + 8 * 10 * (11 + 13) - 11 - 6", "solution_steps": ["11 + 13 = 24", "10 × 24 = 240", "8 × 240 = 1920", "1920 − 11 = 1909", "8 + 1909 = 1917", "1917 − 6 = 1911", "2 + 1911 = 1913"], "key": "year-1913-6♥J♥J♣2♦8♠8♥10♦K♣"} {"id": "train-year-0075", "level": "year", "target": 1927, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 3 + 6 / 3 + 10 * 12 * (8 + 8)", "solution_steps": ["6 ÷ 3 = 2", "8 + 8 = 16", "12 × 16 = 192", "10 × 192 = 1920", "2 + 1920 = 1922", "3 + 1922 = 1925", "2 + 1925 = 1927"], "key": "year-1927-Q♥10♦6♣8♠8♣3♦3♣2♠"} {"id": "train-year-0076", "level": "year", "target": 2076, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "5 + 7 + 10 + (13 + 13) * (7 * 13 - 12)", "solution_steps": ["13 + 13 = 26", "7 × 13 = 91", "91 − 12 = 79", "26 × 79 = 2054", "10 + 2054 = 2064", "7 + 2064 = 2071", "5 + 2071 = 2076"], "key": "year-2076-K♥10♣Q♠K♠7♠K♣5♠7♥"} {"id": "train-year-0077", "level": "year", "target": 2039, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + (1 + 2) * (8 + 7 * 8 * 12) - 2", "solution_steps": ["1 + 2 = 3", "8 × 12 = 96", "7 × 96 = 672", "8 + 672 = 680", "3 × 680 = 2040", "2040 − 2 = 2038", "1 + 2038 = 2039"], "key": "year-2039-7♠8♥Q♥A♦A♥8♣2♦2♠"} {"id": "train-year-0078", "level": "year", "target": 1946, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 2 + 13 * (3 * 10 + 10 * 12) - 8", "solution_steps": ["3 × 10 = 30", "10 × 12 = 120", "30 + 120 = 150", "13 × 150 = 1950", "1950 − 8 = 1942", "2 + 1942 = 1944", "2 + 1944 = 1946"], "key": "year-1946-2♦K♦10♦10♥Q♣8♥3♠2♠"} {"id": "train-year-0079", "level": "year", "target": 2070, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 3 + 7 * (3 * 5 * (10 + 10) - 5)", "solution_steps": ["10 + 10 = 20", "5 × 20 = 100", "3 × 100 = 300", "300 − 5 = 295", "7 × 295 = 2065", "3 + 2065 = 2068", "2 + 2068 = 2070"], "key": "year-2070-7♥5♣3♠3♣10♣10♠2♣5♥"} {"id": "train-year-0080", "level": "year", "target": 1932, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "3 + 4 * (6 * (8 * 11 - 6) - 8) - 7", "solution_steps": ["8 × 11 = 88", "88 − 6 = 82", "6 × 82 = 492", "492 − 8 = 484", "4 × 484 = 1936", "1936 − 7 = 1929", "3 + 1929 = 1932"], "key": "year-1932-8♦6♣4♣7♠8♥J♠3♣6♠"} {"id": "train-year-0081", "level": "year", "target": 1978, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 1 + 13 * (4 + 4 * (6 * 7 - 5))", "solution_steps": ["6 × 7 = 42", "42 − 5 = 37", "4 × 37 = 148", "4 + 148 = 152", "13 × 152 = 1976", "1 + 1976 = 1977", "1 + 1977 = 1978"], "key": "year-1978-A♣5♥A♦6♦K♦7♦4♦4♠"} {"id": "train-year-0082", "level": "year", "target": 1977, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "5 + 7 + 9 + 13 * (8 + 11 * 13) - 7", "solution_steps": ["11 × 13 = 143", "8 + 143 = 151", "13 × 151 = 1963", "9 + 1963 = 1972", "1972 − 7 = 1965", "7 + 1965 = 1972", "5 + 1972 = 1977"], "key": "year-1977-K♣8♣5♦J♦7♥K♠9♦7♣"} {"id": "train-year-0083", "level": "year", "target": 1911, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 3 * (10 - 3) * (11 + 8 * 10) - 2", "solution_steps": ["10 − 3 = 7", "8 × 10 = 80", "11 + 80 = 91", "7 × 91 = 637", "3 × 637 = 1911", "1911 − 2 = 1909", "2 + 1909 = 1911"], "key": "year-1911-2♥3♠3♣2♦8♠10♠J♣10♥"} {"id": "train-year-0084", "level": "year", "target": 1940, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 3 + (9 + 13) * (9 + 7 * 12 - 5)", "solution_steps": ["9 + 13 = 22", "7 × 12 = 84", "9 + 84 = 93", "93 − 5 = 88", "22 × 88 = 1936", "3 + 1936 = 1939", "1 + 1939 = 1940"], "key": "year-1940-Q♥A♠K♥9♣5♠3♦7♦9♦"} {"id": "train-year-0085", "level": "year", "target": 1929, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "3 + 4 + 8 + 11 * (5 + 13 * (6 + 7))", "solution_steps": ["6 + 7 = 13", "13 × 13 = 169", "5 + 169 = 174", "11 × 174 = 1914", "8 + 1914 = 1922", "4 + 1922 = 1926", "3 + 1926 = 1929"], "key": "year-1929-5♣K♦6♠J♦3♠8♠7♣4♣"} {"id": "train-year-0086", "level": "year", "target": 1992, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "4 + 5 + 8 + (12 + 13) * (9 * 10 - 11)", "solution_steps": ["12 + 13 = 25", "9 × 10 = 90", "90 − 11 = 79", "25 × 79 = 1975", "8 + 1975 = 1983", "5 + 1983 = 1988", "4 + 1988 = 1992"], "key": "year-1992-K♠10♣Q♣4♦5♣8♠J♠9♠"} {"id": "train-year-0087", "level": "year", "target": 2070, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 4 + 5 * 9 * (6 + 5 * 8) - 6", "solution_steps": ["5 × 8 = 40", "6 + 40 = 46", "9 × 46 = 414", "5 × 414 = 2070", "2070 − 6 = 2064", "4 + 2064 = 2068", "2 + 2068 = 2070"], "key": "year-2070-4♣8♣6♥5♦5♣9♦2♦6♣"} {"id": "train-year-0088", "level": "year", "target": 2066, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 6 * ((7 + 9) * (11 + 11) - 7) - 5", "solution_steps": ["7 + 9 = 16", "11 + 11 = 22", "16 × 22 = 352", "352 − 7 = 345", "6 × 345 = 2070", "2070 − 5 = 2065", "1 + 2065 = 2066"], "key": "year-2066-6♠7♦J♥A♦7♣9♠J♣5♠"} {"id": "train-year-0089", "level": "year", "target": 1942, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "4 + 7 * 9 * (4 * 10 - 9) - 10 - 5", "solution_steps": ["4 × 10 = 40", "40 − 9 = 31", "9 × 31 = 279", "7 × 279 = 1953", "1953 − 10 = 1943", "1943 − 5 = 1938", "4 + 1938 = 1942"], "key": "year-1942-4♣4♦10♠10♦5♦9♦7♠9♥"} {"id": "train-year-0090", "level": "year", "target": 2086, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 7 + 8 * 10 * (2 + 3 * 8) - 2", "solution_steps": ["3 × 8 = 24", "2 + 24 = 26", "10 × 26 = 260", "8 × 260 = 2080", "7 + 2080 = 2087", "2087 − 2 = 2085", "1 + 2085 = 2086"], "key": "year-2086-3♠A♥2♦8♣7♠10♠2♣8♦"} {"id": "train-year-0091", "level": "year", "target": 2064, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 8 + 13 * (13 * 13 - 10) - 10 - 2", "solution_steps": ["13 × 13 = 169", "169 − 10 = 159", "13 × 159 = 2067", "2067 − 10 = 2057", "8 + 2057 = 2065", "2065 − 2 = 2063", "1 + 2063 = 2064"], "key": "year-2064-K♠K♣10♣2♣8♦10♦K♥A♣"} {"id": "train-year-0092", "level": "year", "target": 2094, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 3 + 5 * (9 + 13) * (12 + 12 - 5)", "solution_steps": ["9 + 13 = 22", "12 + 12 = 24", "24 − 5 = 19", "22 × 19 = 418", "5 × 418 = 2090", "3 + 2090 = 2093", "1 + 2093 = 2094"], "key": "year-2094-Q♠A♣5♦K♥Q♣5♣3♥9♥"} {"id": "train-year-0093", "level": "year", "target": 1999, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 4 * 5 * (8 * (7 + 7) - 12) - 2", "solution_steps": ["7 + 7 = 14", "8 × 14 = 112", "112 − 12 = 100", "5 × 100 = 500", "4 × 500 = 2000", "2000 − 2 = 1998", "1 + 1998 = 1999"], "key": "year-1999-4♠Q♦5♦8♦7♦2♦A♠7♠"} {"id": "train-year-0094", "level": "year", "target": 2058, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "3 + 4 + 11 + 4 * 6 * (7 * 13 - 6)", "solution_steps": ["7 × 13 = 91", "91 − 6 = 85", "6 × 85 = 510", "4 × 510 = 2040", "11 + 2040 = 2051", "4 + 2051 = 2055", "3 + 2055 = 2058"], "key": "year-2058-J♣4♦7♣6♥K♥3♦6♦4♠"} {"id": "train-year-0095", "level": "year", "target": 2008, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "5 + 11 + 10 * 10 * (13 + 13 - 6) - 8", "solution_steps": ["13 + 13 = 26", "26 − 6 = 20", "10 × 20 = 200", "10 × 200 = 2000", "11 + 2000 = 2011", "2011 − 8 = 2003", "5 + 2003 = 2008"], "key": "year-2008-6♠K♥10♣8♥K♠J♣10♠5♠"} {"id": "train-year-0096", "level": "year", "target": 1966, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "7 + 8 + 11 * (10 + 13 * 13) - 10 - 8", "solution_steps": ["13 × 13 = 169", "10 + 169 = 179", "11 × 179 = 1969", "1969 − 10 = 1959", "1959 − 8 = 1951", "8 + 1951 = 1959", "7 + 1959 = 1966"], "key": "year-1966-8♥10♥8♦10♣J♣7♦K♠K♣"} {"id": "train-year-0097", "level": "year", "target": 2084, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "3 + 5 + 12 * (11 + 6 * (6 + 9 + 12))", "solution_steps": ["9 + 12 = 21", "6 + 21 = 27", "6 × 27 = 162", "11 + 162 = 173", "12 × 173 = 2076", "5 + 2076 = 2081", "3 + 2081 = 2084"], "key": "year-2084-J♦Q♣3♠Q♦9♠6♣5♣6♦"} {"id": "train-year-0098", "level": "year", "target": 1933, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 1 + 13 + (4 + 10) * (5 + 11 * 12)", "solution_steps": ["4 + 10 = 14", "11 × 12 = 132", "5 + 132 = 137", "14 × 137 = 1918", "13 + 1918 = 1931", "1 + 1931 = 1932", "1 + 1932 = 1933"], "key": "year-1933-K♥10♣4♠A♣J♣5♥A♦Q♠"} {"id": "train-year-0099", "level": "year", "target": 2042, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 5 + 7 * 8 + 9 * 11 * (7 + 13)", "solution_steps": ["7 × 8 = 56", "7 + 13 = 20", "11 × 20 = 220", "9 × 220 = 1980", "56 + 1980 = 2036", "5 + 2036 = 2041", "1 + 2041 = 2042"], "key": "year-2042-7♦K♦7♥8♠A♠9♥5♠J♥"} {"id": "train-year-0100", "level": "year", "target": 2006, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "4 + 4 + 9 + (6 + 7) * (9 + 12 * 12)", "solution_steps": ["6 + 7 = 13", "12 × 12 = 144", "9 + 144 = 153", "13 × 153 = 1989", "9 + 1989 = 1998", "4 + 1998 = 2002", "4 + 2002 = 2006"], "key": "year-2006-9♣9♥Q♣6♣7♠Q♠4♦4♥"} {"id": "train-year-0101", "level": "year", "target": 1944, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + (6 + 10) * (11 * 12 - 10) - 7 - 2", "solution_steps": ["6 + 10 = 16", "11 × 12 = 132", "132 − 10 = 122", "16 × 122 = 1952", "1952 − 7 = 1945", "1945 − 2 = 1943", "1 + 1943 = 1944"], "key": "year-1944-10♠10♥A♣7♣2♠J♥6♣Q♦"} {"id": "train-year-0102", "level": "year", "target": 2018, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 2 + 7 + 8 * 12 * (8 + 13) - 8", "solution_steps": ["8 + 13 = 21", "12 × 21 = 252", "8 × 252 = 2016", "2016 − 8 = 2008", "7 + 2008 = 2015", "2 + 2015 = 2017", "1 + 2017 = 2018"], "key": "year-2018-8♠8♦7♠K♦2♦8♥A♦Q♦"} {"id": "train-year-0103", "level": "year", "target": 2082, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 11 + 4 * 5 * (10 * 11 - 6) - 10", "solution_steps": ["10 × 11 = 110", "110 − 6 = 104", "5 × 104 = 520", "4 × 520 = 2080", "11 + 2080 = 2091", "2091 − 10 = 2081", "1 + 2081 = 2082"], "key": "year-2082-4♦A♦10♠10♣6♣5♣J♦J♠"} {"id": "train-year-0104", "level": "year", "target": 2090, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 5 + 6 + 10 * 13 * (8 + 8) - 4", "solution_steps": ["8 + 8 = 16", "13 × 16 = 208", "10 × 208 = 2080", "6 + 2080 = 2086", "5 + 2086 = 2091", "2091 − 4 = 2087", "3 + 2087 = 2090"], "key": "year-2090-K♦4♠3♥8♣6♣10♠5♥8♥"} {"id": "train-year-0105", "level": "year", "target": 2072, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "3 + 4 * 4 * (4 + 6 * (9 + 12)) - 11", "solution_steps": ["9 + 12 = 21", "6 × 21 = 126", "4 + 126 = 130", "4 × 130 = 520", "4 × 520 = 2080", "2080 − 11 = 2069", "3 + 2069 = 2072"], "key": "year-2072-Q♦6♠9♣3♣4♣J♥4♥4♦"} {"id": "train-year-0106", "level": "year", "target": 1984, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 1 + 8 * (12 * (9 + 12) - 4) - 2", "solution_steps": ["9 + 12 = 21", "12 × 21 = 252", "252 − 4 = 248", "8 × 248 = 1984", "1984 − 2 = 1982", "1 + 1982 = 1983", "1 + 1983 = 1984"], "key": "year-1984-Q♦4♥A♦9♠Q♠A♥2♦8♦"} {"id": "train-year-0107", "level": "year", "target": 1937, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 1 + 11 * 11 * (4 + 12) - 6 / 6", "solution_steps": ["4 + 12 = 16", "11 × 16 = 176", "11 × 176 = 1936", "6 ÷ 6 = 1", "1936 − 1 = 1935", "1 + 1935 = 1936", "1 + 1936 = 1937"], "key": "year-1937-J♠Q♠6♥A♠4♠J♦A♣6♦"} {"id": "train-year-0108", "level": "year", "target": 2001, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "3 + 9 * 10 * (4 * 5 * 6 - 9) / 5", "solution_steps": ["5 × 6 = 30", "4 × 30 = 120", "120 − 9 = 111", "10 × 111 = 1110", "9 × 1110 = 9990", "9990 ÷ 5 = 1998", "3 + 1998 = 2001"], "key": "year-2001-3♣4♣9♦5♣10♣6♠5♦9♥"} {"id": "train-year-0109", "level": "year", "target": 1905, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "7 + 10 + 11 + 9 * 10 * (10 + 11) - 13", "solution_steps": ["10 + 11 = 21", "10 × 21 = 210", "9 × 210 = 1890", "1890 − 13 = 1877", "11 + 1877 = 1888", "10 + 1888 = 1898", "7 + 1898 = 1905"], "key": "year-1905-J♣J♠10♦10♥9♠7♠K♦10♠"} {"id": "train-year-0110", "level": "year", "target": 1996, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "5 + 6 * (10 + 13) + 11 * 13 * 13 - 6", "solution_steps": ["10 + 13 = 23", "6 × 23 = 138", "13 × 13 = 169", "11 × 169 = 1859", "138 + 1859 = 1997", "1997 − 6 = 1991", "5 + 1991 = 1996"], "key": "year-1996-10♥5♣6♦6♠J♦K♠K♥K♣"} {"id": "train-year-0111", "level": "year", "target": 2024, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "5 + 7 + 12 + 8 * 10 * (7 + 9 + 9)", "solution_steps": ["9 + 9 = 18", "7 + 18 = 25", "10 × 25 = 250", "8 × 250 = 2000", "12 + 2000 = 2012", "7 + 2012 = 2019", "5 + 2019 = 2024"], "key": "year-2024-10♣Q♥5♥9♥8♦9♦7♥7♠"} {"id": "train-year-0112", "level": "year", "target": 1964, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 1 + 4 + 13 * (7 + 12 * 12) - 5", "solution_steps": ["12 × 12 = 144", "7 + 144 = 151", "13 × 151 = 1963", "1963 − 5 = 1958", "4 + 1958 = 1962", "1 + 1962 = 1963", "1 + 1963 = 1964"], "key": "year-1964-K♦4♣7♠Q♦A♠A♦5♣Q♥"} {"id": "train-year-0113", "level": "year", "target": 2057, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "3 + 7 + 7 * (6 + 12 * (11 + 13)) - 11", "solution_steps": ["11 + 13 = 24", "12 × 24 = 288", "6 + 288 = 294", "7 × 294 = 2058", "2058 − 11 = 2047", "7 + 2047 = 2054", "3 + 2054 = 2057"], "key": "year-2057-K♥7♣3♦J♣7♠Q♣J♦6♠"} {"id": "train-year-0114", "level": "year", "target": 1904, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + (7 + 13) * (6 + 9 * 10) - 13 - 5", "solution_steps": ["7 + 13 = 20", "9 × 10 = 90", "6 + 90 = 96", "20 × 96 = 1920", "1920 − 13 = 1907", "1907 − 5 = 1902", "2 + 1902 = 1904"], "key": "year-1904-9♥7♥K♠10♠5♠K♥6♠2♥"} {"id": "train-year-0115", "level": "year", "target": 1903, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 11 * (13 + 2 * 2 * 4 * 10) - 1", "solution_steps": ["4 × 10 = 40", "2 × 40 = 80", "2 × 80 = 160", "13 + 160 = 173", "11 × 173 = 1903", "1903 − 1 = 1902", "1 + 1902 = 1903"], "key": "year-1903-2♥2♦A♥K♦4♠10♠A♠J♦"} {"id": "train-year-0116", "level": "year", "target": 1973, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + 11 + 10 * (4 * 4 * 13 - 12)", "solution_steps": ["4 × 13 = 52", "4 × 52 = 208", "208 − 12 = 196", "10 × 196 = 1960", "11 + 1960 = 1971", "1 + 1971 = 1972", "1 + 1972 = 1973"], "key": "year-1973-A♥10♣J♣4♥4♦K♥Q♠A♦"} {"id": "train-year-0117", "level": "year", "target": 2050, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 10 * (7 + 6 * (12 + 3 * 7)) - 3", "solution_steps": ["3 × 7 = 21", "12 + 21 = 33", "6 × 33 = 198", "7 + 198 = 205", "10 × 205 = 2050", "2050 − 3 = 2047", "3 + 2047 = 2050"], "key": "year-2050-7♣Q♠6♥3♣10♥3♦7♦3♥"} {"id": "train-year-0118", "level": "year", "target": 2094, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "2 + 4 + 8 * (9 + 7 * 12 * (7 - 4))", "solution_steps": ["7 − 4 = 3", "12 × 3 = 36", "7 × 36 = 252", "9 + 252 = 261", "8 × 261 = 2088", "4 + 2088 = 2092", "2 + 2092 = 2094"], "key": "year-2094-2♦4♥9♣7♣7♦Q♠4♠8♣"} {"id": "train-year-0119", "level": "year", "target": 1989, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 3 + 4 + 10 * 11 * (11 + 12 - 5)", "solution_steps": ["11 + 12 = 23", "23 − 5 = 18", "11 × 18 = 198", "10 × 198 = 1980", "4 + 1980 = 1984", "3 + 1984 = 1987", "2 + 1987 = 1989"], "key": "year-1989-J♦4♠2♥Q♥5♦10♦3♠J♥"} {"id": "train-year-0120", "level": "year", "target": 1930, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 5 * (7 + 10 * (5 * 10 - 12)) - 7", "solution_steps": ["5 × 10 = 50", "50 − 12 = 38", "10 × 38 = 380", "7 + 380 = 387", "5 × 387 = 1935", "1935 − 7 = 1928", "2 + 1928 = 1930"], "key": "year-1930-Q♠7♣10♠5♠5♥2♥7♠10♦"} {"id": "train-year-0121", "level": "year", "target": 2039, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + (4 + 8) * (9 + 13 * 13 - 8) - 2", "solution_steps": ["4 + 8 = 12", "13 × 13 = 169", "9 + 169 = 178", "178 − 8 = 170", "12 × 170 = 2040", "2040 − 2 = 2038", "1 + 2038 = 2039"], "key": "year-2039-K♠A♦2♣K♣9♣8♥4♠8♣"} {"id": "train-year-0122", "level": "year", "target": 1951, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "4 + 4 + (10 + 13) * (5 + 8 * 10) - 12", "solution_steps": ["10 + 13 = 23", "8 × 10 = 80", "5 + 80 = 85", "23 × 85 = 1955", "1955 − 12 = 1943", "4 + 1943 = 1947", "4 + 1947 = 1951"], "key": "year-1951-5♠K♦4♣10♣10♥Q♥4♦8♥"} {"id": "train-year-0123", "level": "year", "target": 2044, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "3 + 6 + 11 * (8 + 9 * 11 * 13) / 7", "solution_steps": ["11 × 13 = 143", "9 × 143 = 1287", "8 + 1287 = 1295", "11 × 1295 = 14245", "14245 ÷ 7 = 2035", "6 + 2035 = 2041", "3 + 2041 = 2044"], "key": "year-2044-6♣8♣J♦3♥7♥J♠K♥9♥"} {"id": "train-year-0124", "level": "year", "target": 2071, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 3 + 4 * 7 * (10 + 8 * 8) - 6", "solution_steps": ["8 × 8 = 64", "10 + 64 = 74", "7 × 74 = 518", "4 × 518 = 2072", "2072 − 6 = 2066", "3 + 2066 = 2069", "2 + 2069 = 2071"], "key": "year-2071-6♣8♣3♣4♦7♦10♣8♠2♣"} {"id": "train-year-0125", "level": "year", "target": 2088, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 5 + 12 + 5 * 6 * (6 + 7 * 9)", "solution_steps": ["7 × 9 = 63", "6 + 63 = 69", "6 × 69 = 414", "5 × 414 = 2070", "12 + 2070 = 2082", "5 + 2082 = 2087", "1 + 2087 = 2088"], "key": "year-2088-9♥5♦6♣5♠7♥6♦Q♠A♦"} {"id": "train-year-0126", "level": "year", "target": 1968, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 7 + 5 * 8 * (5 * 13 - 2 * 8)", "solution_steps": ["5 × 13 = 65", "2 × 8 = 16", "65 − 16 = 49", "8 × 49 = 392", "5 × 392 = 1960", "7 + 1960 = 1967", "1 + 1967 = 1968"], "key": "year-1968-8♦8♣K♥7♣5♦2♦A♦5♣"} {"id": "train-year-0127", "level": "year", "target": 1916, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "3 + 4 * 4 * 8 * (9 + 12 - 6) - 7", "solution_steps": ["9 + 12 = 21", "21 − 6 = 15", "8 × 15 = 120", "4 × 120 = 480", "4 × 480 = 1920", "1920 − 7 = 1913", "3 + 1913 = 1916"], "key": "year-1916-9♥Q♠4♥4♣7♣3♦6♦8♣"} {"id": "train-year-0128", "level": "year", "target": 2013, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 2 + 7 + (13 + 13) * (9 * 9 - 4)", "solution_steps": ["13 + 13 = 26", "9 × 9 = 81", "81 − 4 = 77", "26 × 77 = 2002", "7 + 2002 = 2009", "2 + 2009 = 2011", "2 + 2011 = 2013"], "key": "year-2013-2♠2♥K♣9♣K♥4♦7♥9♦"} {"id": "train-year-0129", "level": "year", "target": 2029, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 3 + 9 * 10 * (13 + 7 * 11) / 4", "solution_steps": ["7 × 11 = 77", "13 + 77 = 90", "10 × 90 = 900", "9 × 900 = 8100", "8100 ÷ 4 = 2025", "3 + 2025 = 2028", "1 + 2028 = 2029"], "key": "year-2029-10♦A♠7♥K♥J♦9♦3♦4♠"} {"id": "train-year-0130", "level": "year", "target": 1910, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 + 7 + 8 * (10 * (12 + 13) - 12) - 5", "solution_steps": ["12 + 13 = 25", "10 × 25 = 250", "250 − 12 = 238", "8 × 238 = 1904", "7 + 1904 = 1911", "1911 − 5 = 1906", "4 + 1906 = 1910"], "key": "year-1910-10♠K♣7♠Q♦5♥8♦Q♥4♦"} {"id": "train-year-0131", "level": "year", "target": 1974, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 2 * 2 * 13 * (4 * 11 - 6) - 3", "solution_steps": ["4 × 11 = 44", "44 − 6 = 38", "13 × 38 = 494", "2 × 494 = 988", "2 × 988 = 1976", "1976 − 3 = 1973", "1 + 1973 = 1974"], "key": "year-1974-3♦J♠K♣4♣2♣6♠A♠2♦"} {"id": "train-year-0132", "level": "year", "target": 1927, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 2 + (6 + 7) * (6 + 10 + 11 * 12)", "solution_steps": ["6 + 7 = 13", "11 × 12 = 132", "10 + 132 = 142", "6 + 142 = 148", "13 × 148 = 1924", "2 + 1924 = 1926", "1 + 1926 = 1927"], "key": "year-1927-2♥A♠6♥Q♣J♥6♦10♥7♠"} {"id": "train-year-0133", "level": "year", "target": 1926, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 11 * (6 + 9) * (4 * 10 - 5) / 3", "solution_steps": ["6 + 9 = 15", "4 × 10 = 40", "40 − 5 = 35", "15 × 35 = 525", "11 × 525 = 5775", "5775 ÷ 3 = 1925", "1 + 1925 = 1926"], "key": "year-1926-J♦6♠A♣4♥9♦10♥5♠3♦"} {"id": "train-year-0134", "level": "year", "target": 1996, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 5 + 5 * (9 * (5 * 11 - 10) - 7)", "solution_steps": ["5 × 11 = 55", "55 − 10 = 45", "9 × 45 = 405", "405 − 7 = 398", "5 × 398 = 1990", "5 + 1990 = 1995", "1 + 1995 = 1996"], "key": "year-1996-9♣J♣7♠5♦5♥5♠A♥10♥"} {"id": "train-year-0135", "level": "year", "target": 1956, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 2 + 6 / 3 + 10 * 13 * (7 + 8)", "solution_steps": ["6 ÷ 3 = 2", "7 + 8 = 15", "13 × 15 = 195", "10 × 195 = 1950", "2 + 1950 = 1952", "2 + 1952 = 1954", "2 + 1954 = 1956"], "key": "year-1956-6♥2♦10♣K♥8♣2♣7♠3♠"} {"id": "train-year-0136", "level": "year", "target": 2065, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 1 + 7 * 8 * (5 + 4 * 8) - 9", "solution_steps": ["4 × 8 = 32", "5 + 32 = 37", "8 × 37 = 296", "7 × 296 = 2072", "2072 − 9 = 2063", "1 + 2063 = 2064", "1 + 2064 = 2065"], "key": "year-2065-9♠5♣7♣8♠A♥A♦4♣8♥"} {"id": "train-year-0137", "level": "year", "target": 1967, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 3 + 13 + 10 * (5 + 10 * (8 + 11))", "solution_steps": ["8 + 11 = 19", "10 × 19 = 190", "5 + 190 = 195", "10 × 195 = 1950", "13 + 1950 = 1963", "3 + 1963 = 1966", "1 + 1966 = 1967"], "key": "year-1967-3♠8♦10♥J♣5♣10♦A♦K♥"} {"id": "train-year-0138", "level": "year", "target": 1994, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 3 + 10 + 3 * 4 * 11 * (6 + 9)", "solution_steps": ["6 + 9 = 15", "11 × 15 = 165", "4 × 165 = 660", "3 × 660 = 1980", "10 + 1980 = 1990", "3 + 1990 = 1993", "1 + 1993 = 1994"], "key": "year-1994-10♥3♥A♣6♣3♦9♥J♠4♦"} {"id": "train-year-0139", "level": "year", "target": 2028, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "4 + 5 + 11 + 8 * (13 * (8 + 12) - 9)", "solution_steps": ["8 + 12 = 20", "13 × 20 = 260", "260 − 9 = 251", "8 × 251 = 2008", "11 + 2008 = 2019", "5 + 2019 = 2024", "4 + 2024 = 2028"], "key": "year-2028-J♥8♦8♣K♣5♣9♣4♣Q♠"} {"id": "train-year-0140", "level": "year", "target": 2009, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + 11 + (5 + 9) * (11 + 11 * 12) - 7", "solution_steps": ["5 + 9 = 14", "11 × 12 = 132", "11 + 132 = 143", "14 × 143 = 2002", "11 + 2002 = 2013", "2013 − 7 = 2006", "3 + 2006 = 2009"], "key": "year-2009-9♦3♦5♥J♥7♦J♠J♦Q♥"} {"id": "train-year-0141", "level": "year", "target": 1987, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 6 + 9 * (6 * 13 + 11 * 13) - 10", "solution_steps": ["6 × 13 = 78", "11 × 13 = 143", "78 + 143 = 221", "9 × 221 = 1989", "1989 − 10 = 1979", "6 + 1979 = 1985", "2 + 1985 = 1987"], "key": "year-1987-K♠10♦6♠6♣2♥9♣J♦K♥"} {"id": "train-year-0142", "level": "year", "target": 2058, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 6 * (8 * 10 * 13 - 9 - 3) / 3", "solution_steps": ["10 × 13 = 130", "8 × 130 = 1040", "1040 − 9 = 1031", "1031 − 3 = 1028", "6 × 1028 = 6168", "6168 ÷ 3 = 2056", "2 + 2056 = 2058"], "key": "year-2058-9♠K♣6♠3♣2♣10♣8♣3♠"} {"id": "train-year-0143", "level": "year", "target": 1977, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 10 * (11 + 7 * 7 * 8 - 8) / 2", "solution_steps": ["7 × 8 = 56", "7 × 56 = 392", "11 + 392 = 403", "403 − 8 = 395", "10 × 395 = 3950", "3950 ÷ 2 = 1975", "2 + 1975 = 1977"], "key": "year-1977-2♦10♣2♥8♦7♣8♥J♥7♦"} {"id": "train-year-0144", "level": "year", "target": 2097, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 5 * 12 * (6 * 9 - 11 - 8) - 4", "solution_steps": ["6 × 9 = 54", "54 − 11 = 43", "43 − 8 = 35", "12 × 35 = 420", "5 × 420 = 2100", "2100 − 4 = 2096", "1 + 2096 = 2097"], "key": "year-2097-5♣8♠J♣6♣4♠Q♥9♥A♠"} {"id": "train-year-0145", "level": "year", "target": 2004, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 5 * (4 * (11 + 7 * 13) - 7) - 3", "solution_steps": ["7 × 13 = 91", "11 + 91 = 102", "4 × 102 = 408", "408 − 7 = 401", "5 × 401 = 2005", "2005 − 3 = 2002", "2 + 2002 = 2004"], "key": "year-2004-4♣5♣2♦K♦7♦7♥3♠J♥"} {"id": "train-year-0146", "level": "year", "target": 1952, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 2 + 4 + 9 * (2 + 10) * (5 + 13)", "solution_steps": ["2 + 10 = 12", "5 + 13 = 18", "12 × 18 = 216", "9 × 216 = 1944", "4 + 1944 = 1948", "2 + 1948 = 1950", "2 + 1950 = 1952"], "key": "year-1952-10♥K♦2♣4♦2♦9♠2♠5♦"} {"id": "train-year-0147", "level": "year", "target": 2002, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 2 + 4 + 5 * (6 + 13) * (10 + 11)", "solution_steps": ["6 + 13 = 19", "10 + 11 = 21", "19 × 21 = 399", "5 × 399 = 1995", "4 + 1995 = 1999", "2 + 1999 = 2001", "1 + 2001 = 2002"], "key": "year-2002-4♥2♦K♦A♣10♥6♥J♣5♣"} {"id": "train-year-0148", "level": "year", "target": 2003, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 1 + 3 * (4 * 8 * (9 + 12) - 5)", "solution_steps": ["9 + 12 = 21", "8 × 21 = 168", "4 × 168 = 672", "672 − 5 = 667", "3 × 667 = 2001", "1 + 2001 = 2002", "1 + 2002 = 2003"], "key": "year-2003-A♦A♠8♠9♠Q♣3♦5♦4♦"} {"id": "train-year-0149", "level": "year", "target": 2060, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 4 + 6 * 7 * 7 * (2 + 5) - 3", "solution_steps": ["2 + 5 = 7", "7 × 7 = 49", "7 × 49 = 343", "6 × 343 = 2058", "4 + 2058 = 2062", "2062 − 3 = 2059", "1 + 2059 = 2060"], "key": "year-2060-3♦6♥2♠7♠7♣A♠5♦4♠"} {"id": "train-year-0150", "level": "year", "target": 2025, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 3 + 4 * 5 * (8 * (6 + 8) - 11)", "solution_steps": ["6 + 8 = 14", "8 × 14 = 112", "112 − 11 = 101", "5 × 101 = 505", "4 × 505 = 2020", "3 + 2020 = 2023", "2 + 2023 = 2025"], "key": "year-2025-8♥6♣5♦4♠J♦8♦2♥3♣"} {"id": "train-year-0151", "level": "year", "target": 1976, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 2 * (11 * (6 * (7 + 9) - 6) - 3)", "solution_steps": ["7 + 9 = 16", "6 × 16 = 96", "96 − 6 = 90", "11 × 90 = 990", "990 − 3 = 987", "2 × 987 = 1974", "2 + 1974 = 1976"], "key": "year-1976-2♣3♥2♦6♠6♥7♠J♣9♣"} {"id": "train-year-0152", "level": "year", "target": 1959, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 5 + (5 + 12) * (5 + 10 * 11) - 2", "solution_steps": ["5 + 12 = 17", "10 × 11 = 110", "5 + 110 = 115", "17 × 115 = 1955", "5 + 1955 = 1960", "1960 − 2 = 1958", "1 + 1958 = 1959"], "key": "year-1959-A♥2♠5♣5♥10♣5♦J♠Q♣"} {"id": "train-year-0153", "level": "year", "target": 2070, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 4 + 2 * (7 * (12 * 13 - 8) - 4)", "solution_steps": ["12 × 13 = 156", "156 − 8 = 148", "7 × 148 = 1036", "1036 − 4 = 1032", "2 × 1032 = 2064", "4 + 2064 = 2068", "2 + 2068 = 2070"], "key": "year-2070-Q♦4♠4♦2♣K♦8♦2♦7♠"} {"id": "train-year-0154", "level": "year", "target": 1921, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "5 + 5 + 9 * (13 + 10 * (8 + 12)) - 6", "solution_steps": ["8 + 12 = 20", "10 × 20 = 200", "13 + 200 = 213", "9 × 213 = 1917", "1917 − 6 = 1911", "5 + 1911 = 1916", "5 + 1916 = 1921"], "key": "year-1921-9♦5♠10♥8♥6♦5♦K♦Q♠"} {"id": "train-year-0155", "level": "year", "target": 2072, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + (2 + 13) * (3 * 4 * 12 - 6)", "solution_steps": ["2 + 13 = 15", "4 × 12 = 48", "3 × 48 = 144", "144 − 6 = 138", "15 × 138 = 2070", "1 + 2070 = 2071", "1 + 2071 = 2072"], "key": "year-2072-6♠4♦3♣2♠A♠Q♠K♥A♦"} {"id": "train-year-0156", "level": "year", "target": 2096, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 9 * 9 * (4 + 9 + 13) - 7 - 5", "solution_steps": ["9 + 13 = 22", "4 + 22 = 26", "9 × 26 = 234", "9 × 234 = 2106", "2106 − 7 = 2099", "2099 − 5 = 2094", "2 + 2094 = 2096"], "key": "year-2096-4♦9♠7♦K♣5♣9♦2♦9♥"} {"id": "train-year-0157", "level": "year", "target": 1938, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 3 + (6 + 8) * (7 + 11 * 12) - 13", "solution_steps": ["6 + 8 = 14", "11 × 12 = 132", "7 + 132 = 139", "14 × 139 = 1946", "1946 − 13 = 1933", "3 + 1933 = 1936", "2 + 1936 = 1938"], "key": "year-1938-2♠7♣Q♠J♠K♦3♠8♦6♥"} {"id": "train-year-0158", "level": "year", "target": 2085, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 7 + 12 * (3 + 8 + 9 * (9 + 9))", "solution_steps": ["9 + 9 = 18", "9 × 18 = 162", "8 + 162 = 170", "3 + 170 = 173", "12 × 173 = 2076", "7 + 2076 = 2083", "2 + 2083 = 2085"], "key": "year-2085-2♣8♠7♦3♠9♣9♥Q♠9♦"} {"id": "train-year-0159", "level": "year", "target": 1996, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 3 * 7 * (6 + 8 * (11 + 12)) / 2", "solution_steps": ["11 + 12 = 23", "8 × 23 = 184", "6 + 184 = 190", "7 × 190 = 1330", "3 × 1330 = 3990", "3990 ÷ 2 = 1995", "1 + 1995 = 1996"], "key": "year-1996-J♠6♣7♠Q♣2♥A♦3♦8♠"} {"id": "train-year-0160", "level": "year", "target": 2019, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 7 + 8 + 11 * (12 * (7 + 9) - 10)", "solution_steps": ["7 + 9 = 16", "12 × 16 = 192", "192 − 10 = 182", "11 × 182 = 2002", "8 + 2002 = 2010", "7 + 2010 = 2017", "2 + 2017 = 2019"], "key": "year-2019-7♠7♣10♠8♣J♥9♥Q♣2♥"} {"id": "train-year-0161", "level": "year", "target": 1937, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + 4 + 13 + 8 * 10 * (12 + 12) - 3", "solution_steps": ["12 + 12 = 24", "10 × 24 = 240", "8 × 240 = 1920", "13 + 1920 = 1933", "4 + 1933 = 1937", "1937 − 3 = 1934", "3 + 1934 = 1937"], "key": "year-1937-4♥8♠Q♦3♦3♥K♠10♣Q♣"} {"id": "train-year-0162", "level": "year", "target": 1951, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 5 + 6 * 9 * (9 + 5 * 8 - 13)", "solution_steps": ["5 × 8 = 40", "40 − 13 = 27", "9 + 27 = 36", "9 × 36 = 324", "6 × 324 = 1944", "5 + 1944 = 1949", "2 + 1949 = 1951"], "key": "year-1951-6♣8♣K♣9♣5♣5♠9♠2♥"} {"id": "train-year-0163", "level": "year", "target": 1912, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + (8 + 9) * (10 * 12 - 7) - 6 - 5", "solution_steps": ["8 + 9 = 17", "10 × 12 = 120", "120 − 7 = 113", "17 × 113 = 1921", "1921 − 6 = 1915", "1915 − 5 = 1910", "2 + 1910 = 1912"], "key": "year-1912-8♠Q♦2♣6♠9♠7♣5♥10♦"} {"id": "train-year-0164", "level": "year", "target": 2009, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "3 + 3 + 12 + 11 * (13 + 4 * 6 * 7)", "solution_steps": ["6 × 7 = 42", "4 × 42 = 168", "13 + 168 = 181", "11 × 181 = 1991", "12 + 1991 = 2003", "3 + 2003 = 2006", "3 + 2006 = 2009"], "key": "year-2009-4♠Q♥3♣7♦3♥6♥J♦K♣"} {"id": "train-year-0165", "level": "year", "target": 2016, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 4 + 5 * (12 + 7 * 7 * 8) - 10", "solution_steps": ["7 × 8 = 56", "7 × 56 = 392", "12 + 392 = 404", "5 × 404 = 2020", "2020 − 10 = 2010", "4 + 2010 = 2014", "2 + 2014 = 2016"], "key": "year-2016-7♣10♣4♣Q♣2♣5♣7♦8♠"} {"id": "train-year-0166", "level": "year", "target": 2016, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 7 + 10 * (9 + 12 * (7 + 9)) - 3", "solution_steps": ["7 + 9 = 16", "12 × 16 = 192", "9 + 192 = 201", "10 × 201 = 2010", "7 + 2010 = 2017", "2017 − 3 = 2014", "2 + 2014 = 2016"], "key": "year-2016-10♥Q♥3♠9♠7♣7♥9♦2♦"} {"id": "train-year-0167", "level": "year", "target": 2032, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "3 + 6 * (4 + 12 * (6 + 10 + 12)) - 11", "solution_steps": ["10 + 12 = 22", "6 + 22 = 28", "12 × 28 = 336", "4 + 336 = 340", "6 × 340 = 2040", "2040 − 11 = 2029", "3 + 2029 = 2032"], "key": "year-2032-10♠3♣6♦Q♠J♣Q♥6♥4♥"} {"id": "train-year-0168", "level": "year", "target": 2011, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 1 * 5 * 6 * (2 + 13 * (7 - 2))", "solution_steps": ["7 − 2 = 5", "13 × 5 = 65", "2 + 65 = 67", "6 × 67 = 402", "5 × 402 = 2010", "1 × 2010 = 2010", "1 + 2010 = 2011"], "key": "year-2011-A♥K♣6♥A♦2♣2♥7♥5♥"} {"id": "train-year-0169", "level": "year", "target": 2030, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 6 * (10 + 5 * 6 * 11) - 8 - 3", "solution_steps": ["6 × 11 = 66", "5 × 66 = 330", "10 + 330 = 340", "6 × 340 = 2040", "2040 − 8 = 2032", "2032 − 3 = 2029", "1 + 2029 = 2030"], "key": "year-2030-A♦10♥5♦3♥8♥6♣J♥6♥"} {"id": "train-year-0170", "level": "year", "target": 1940, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 3 + 3 * (8 + 13 * (9 + 4 * 10))", "solution_steps": ["4 × 10 = 40", "9 + 40 = 49", "13 × 49 = 637", "8 + 637 = 645", "3 × 645 = 1935", "3 + 1935 = 1938", "2 + 1938 = 1940"], "key": "year-1940-3♦2♠4♣K♣8♦10♦9♣3♥"} {"id": "train-year-0171", "level": "year", "target": 2074, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 3 + 5 * (4 * (9 * 13 - 11) - 10)", "solution_steps": ["9 × 13 = 117", "117 − 11 = 106", "4 × 106 = 424", "424 − 10 = 414", "5 × 414 = 2070", "3 + 2070 = 2073", "1 + 2073 = 2074"], "key": "year-2074-4♥9♦K♥3♥5♠J♣A♦10♥"} {"id": "train-year-0172", "level": "year", "target": 1980, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 3 + 12 * (9 + 13 * (4 + 8)) - 5", "solution_steps": ["4 + 8 = 12", "13 × 12 = 156", "9 + 156 = 165", "12 × 165 = 1980", "1980 − 5 = 1975", "3 + 1975 = 1978", "2 + 1978 = 1980"], "key": "year-1980-Q♠9♦4♦3♣8♠K♦2♦5♥"} {"id": "train-year-0173", "level": "year", "target": 1958, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 7 * 8 * (7 + 9 + 9 + 10) - 3", "solution_steps": ["9 + 10 = 19", "9 + 19 = 28", "7 + 28 = 35", "8 × 35 = 280", "7 × 280 = 1960", "1960 − 3 = 1957", "1 + 1957 = 1958"], "key": "year-1958-10♠7♦A♦8♦3♦9♠7♥9♣"} {"id": "train-year-0174", "level": "year", "target": 1927, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 3 * 8 * 9 * 9 - 9 - 7 - 3", "solution_steps": ["9 × 9 = 81", "8 × 81 = 648", "3 × 648 = 1944", "1944 − 9 = 1935", "1935 − 7 = 1928", "1928 − 3 = 1925", "2 + 1925 = 1927"], "key": "year-1927-7♥8♦9♦3♠3♣9♥9♠2♣"} {"id": "train-year-0175", "level": "year", "target": 1991, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 7 + 12 * (8 * (11 + 11) - 10) - 9", "solution_steps": ["11 + 11 = 22", "8 × 22 = 176", "176 − 10 = 166", "12 × 166 = 1992", "1992 − 9 = 1983", "7 + 1983 = 1990", "1 + 1990 = 1991"], "key": "year-1991-A♦9♥8♣10♦Q♥J♣J♦7♣"} {"id": "train-year-0176", "level": "year", "target": 2078, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 3 + 10 + (11 + 13) * (8 * 12 - 10)", "solution_steps": ["11 + 13 = 24", "8 × 12 = 96", "96 − 10 = 86", "24 × 86 = 2064", "10 + 2064 = 2074", "3 + 2074 = 2077", "1 + 2077 = 2078"], "key": "year-2078-Q♥K♠10♠8♥J♥3♦10♣A♠"} {"id": "train-year-0177", "level": "year", "target": 2017, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "2 + 5 * (7 * 11 * (8 + 13) - 5) / 4", "solution_steps": ["8 + 13 = 21", "11 × 21 = 231", "7 × 231 = 1617", "1617 − 5 = 1612", "5 × 1612 = 8060", "8060 ÷ 4 = 2015", "2 + 2015 = 2017"], "key": "year-2017-J♣4♦8♦5♦K♠7♣2♠5♠"} {"id": "train-year-0178", "level": "year", "target": 2041, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 9 * (3 + 9) * (8 + 11) - 7 - 7", "solution_steps": ["3 + 9 = 12", "8 + 11 = 19", "12 × 19 = 228", "9 × 228 = 2052", "2052 − 7 = 2045", "2045 − 7 = 2038", "3 + 2038 = 2041"], "key": "year-2041-9♠J♦7♣9♦3♠8♣3♦7♦"} {"id": "train-year-0179", "level": "year", "target": 2009, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 2 + 8 + 9 * (13 + 11 * (8 + 11))", "solution_steps": ["8 + 11 = 19", "11 × 19 = 209", "13 + 209 = 222", "9 × 222 = 1998", "8 + 1998 = 2006", "2 + 2006 = 2008", "1 + 2008 = 2009"], "key": "year-2009-8♥K♠A♦J♣9♥8♦2♦J♥"} {"id": "train-year-0180", "level": "year", "target": 2096, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 7 + (4 + 8) * (2 * 8 * 11 - 2)", "solution_steps": ["4 + 8 = 12", "8 × 11 = 88", "2 × 88 = 176", "176 − 2 = 174", "12 × 174 = 2088", "7 + 2088 = 2095", "1 + 2095 = 2096"], "key": "year-2096-A♥4♦2♣8♣8♦2♠J♥7♦"} {"id": "train-year-0181", "level": "year", "target": 1991, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 + 4 * (11 + 9 * 9 * (12 - 6))", "solution_steps": ["12 − 6 = 6", "9 × 6 = 54", "9 × 54 = 486", "11 + 486 = 497", "4 × 497 = 1988", "2 + 1988 = 1990", "1 + 1990 = 1991"], "key": "year-1991-9♣9♦6♦Q♦2♥A♦4♦J♦"} {"id": "train-year-0182", "level": "year", "target": 2068, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 5 + 3 * (8 * 8 * 11 - 10 - 7)", "solution_steps": ["8 × 11 = 88", "8 × 88 = 704", "704 − 10 = 694", "694 − 7 = 687", "3 × 687 = 2061", "5 + 2061 = 2066", "2 + 2066 = 2068"], "key": "year-2068-10♦8♦7♠8♣J♦5♣3♥2♥"} {"id": "train-year-0183", "level": "year", "target": 1965, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 3 + 4 * 7 * (6 + 8 * (13 - 5))", "solution_steps": ["13 − 5 = 8", "8 × 8 = 64", "6 + 64 = 70", "7 × 70 = 490", "4 × 490 = 1960", "3 + 1960 = 1963", "2 + 1963 = 1965"], "key": "year-1965-4♣7♣6♥5♥K♦8♦3♠2♠"} {"id": "train-year-0184", "level": "year", "target": 1962, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 7 + 12 + 10 * 13 * (7 + 8) - 10", "solution_steps": ["7 + 8 = 15", "13 × 15 = 195", "10 × 195 = 1950", "12 + 1950 = 1962", "1962 − 10 = 1952", "7 + 1952 = 1959", "3 + 1959 = 1962"], "key": "year-1962-8♦K♦3♥7♥10♣10♦Q♠7♦"} {"id": "train-year-0185", "level": "year", "target": 1945, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 2 + 10 + 2 * 6 * (5 + 12 * 13)", "solution_steps": ["12 × 13 = 156", "5 + 156 = 161", "6 × 161 = 966", "2 × 966 = 1932", "10 + 1932 = 1942", "2 + 1942 = 1944", "1 + 1944 = 1945"], "key": "year-1945-A♦5♠Q♠2♥2♣10♥K♥6♠"} {"id": "train-year-0186", "level": "year", "target": 2095, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "6 + 10 + 11 * 12 * (6 + 10 * 12) / 8", "solution_steps": ["10 × 12 = 120", "6 + 120 = 126", "12 × 126 = 1512", "11 × 1512 = 16632", "16632 ÷ 8 = 2079", "10 + 2079 = 2089", "6 + 2089 = 2095"], "key": "year-2095-6♥8♣10♣J♥6♣Q♦Q♠10♠"} {"id": "train-year-0187", "level": "year", "target": 2009, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + (3 * 13 - 9) * (4 + 7 * 9) - 3", "solution_steps": ["3 × 13 = 39", "39 − 9 = 30", "7 × 9 = 63", "4 + 63 = 67", "30 × 67 = 2010", "2010 − 3 = 2007", "2 + 2007 = 2009"], "key": "year-2009-K♦2♥3♣7♥3♥4♣9♣9♠"} {"id": "train-year-0188", "level": "year", "target": 1903, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 + 5 * 10 * (7 + 4 * 11 - 13)", "solution_steps": ["4 × 11 = 44", "44 − 13 = 31", "7 + 31 = 38", "10 × 38 = 380", "5 × 380 = 1900", "2 + 1900 = 1902", "1 + 1902 = 1903"], "key": "year-1903-10♦K♣J♠7♦4♣5♦A♥2♥"} {"id": "train-year-0189", "level": "year", "target": 2087, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 1 + 5 + 10 * (4 + 12) * (6 + 7)", "solution_steps": ["4 + 12 = 16", "6 + 7 = 13", "16 × 13 = 208", "10 × 208 = 2080", "5 + 2080 = 2085", "1 + 2085 = 2086", "1 + 2086 = 2087"], "key": "year-2087-A♥A♣Q♥7♠6♣10♦5♣4♣"} {"id": "train-year-0190", "level": "year", "target": 1955, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 7 * (10 * (8 * 8 - 7) - 12) / 2", "solution_steps": ["8 × 8 = 64", "64 − 7 = 57", "10 × 57 = 570", "570 − 12 = 558", "7 × 558 = 3906", "3906 ÷ 2 = 1953", "2 + 1953 = 1955"], "key": "year-1955-7♣Q♣8♥2♦7♠2♥8♦10♥"} {"id": "train-year-0191", "level": "year", "target": 2025, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 3 + 13 * (6 * 6 + 10 * 12) - 9", "solution_steps": ["6 × 6 = 36", "10 × 12 = 120", "36 + 120 = 156", "13 × 156 = 2028", "2028 − 9 = 2019", "3 + 2019 = 2022", "3 + 2022 = 2025"], "key": "year-2025-K♠9♦3♥Q♠6♦3♦10♠6♥"} {"id": "train-year-0192", "level": "year", "target": 1960, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 * 2 * (1 + 6) * (1 + 13) * (2 + 8)", "solution_steps": ["1 + 6 = 7", "1 + 13 = 14", "2 + 8 = 10", "14 × 10 = 140", "7 × 140 = 980", "2 × 980 = 1960", "1 × 1960 = 1960"], "key": "year-1960-2♠8♣6♣K♣2♦A♣A♥A♦"} {"id": "train-year-0193", "level": "year", "target": 2081, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 13 + 5 * (13 + 4 * 10 * 10)", "solution_steps": ["10 × 10 = 100", "4 × 100 = 400", "13 + 400 = 413", "5 × 413 = 2065", "13 + 2065 = 2078", "2 + 2078 = 2080", "1 + 2080 = 2081"], "key": "year-2081-K♥4♥K♣5♦10♣A♥10♠2♠"} {"id": "train-year-0194", "level": "year", "target": 1926, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 6 + 8 * 9 + 13 * (10 + 11 * 12)", "solution_steps": ["8 × 9 = 72", "11 × 12 = 132", "10 + 132 = 142", "13 × 142 = 1846", "72 + 1846 = 1918", "6 + 1918 = 1924", "2 + 1924 = 1926"], "key": "year-1926-8♥J♥10♣6♥2♦Q♣K♥9♦"} {"id": "train-year-0195", "level": "year", "target": 1956, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 + 6 + 11 * (13 * (5 + 9) - 5)", "solution_steps": ["5 + 9 = 14", "13 × 14 = 182", "182 − 5 = 177", "11 × 177 = 1947", "6 + 1947 = 1953", "2 + 1953 = 1955", "1 + 1955 = 1956"], "key": "year-1956-9♠5♠A♦6♣5♥J♣2♥K♠"} {"id": "train-year-0196", "level": "year", "target": 1913, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 3 + 9 * (9 + 8 * 13 + 9 * 11)", "solution_steps": ["8 × 13 = 104", "9 × 11 = 99", "104 + 99 = 203", "9 + 203 = 212", "9 × 212 = 1908", "3 + 1908 = 1911", "2 + 1911 = 1913"], "key": "year-1913-2♥9♠K♥3♣9♣9♦8♦J♥"} {"id": "train-year-0197", "level": "year", "target": 1958, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + (9 * 13 - 2) * (3 * 7 - 4)", "solution_steps": ["9 × 13 = 117", "117 − 2 = 115", "3 × 7 = 21", "21 − 4 = 17", "115 × 17 = 1955", "2 + 1955 = 1957", "1 + 1957 = 1958"], "key": "year-1958-7♣2♠2♥9♦K♦3♦A♦4♠"} {"id": "train-year-0198", "level": "year", "target": 1935, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 2 + 11 + 4 * (9 + 11) * (12 + 12)", "solution_steps": ["9 + 11 = 20", "12 + 12 = 24", "20 × 24 = 480", "4 × 480 = 1920", "11 + 1920 = 1931", "2 + 1931 = 1933", "2 + 1933 = 1935"], "key": "year-1935-2♣J♣J♠Q♠4♣Q♣9♦2♦"} {"id": "train-year-0199", "level": "year", "target": 2016, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 4 + 4 * 11 * (6 * 9 - 8) - 13", "solution_steps": ["6 × 9 = 54", "54 − 8 = 46", "11 × 46 = 506", "4 × 506 = 2024", "2024 − 13 = 2011", "4 + 2011 = 2015", "1 + 2015 = 2016"], "key": "year-2016-4♠A♥K♦9♠8♥6♣4♦J♥"} {"id": "train-year-0200", "level": "year", "target": 1907, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 3 + 11 * (8 + 11 * (9 + 11 - 5))", "solution_steps": ["9 + 11 = 20", "20 − 5 = 15", "11 × 15 = 165", "8 + 165 = 173", "11 × 173 = 1903", "3 + 1903 = 1906", "1 + 1906 = 1907"], "key": "year-1907-J♦3♠J♥5♥A♦J♠8♠9♣"} {"id": "train-year-0201", "level": "year", "target": 2010, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 10 * (3 + 11 * (3 * 10 - 12)) - 2", "solution_steps": ["3 × 10 = 30", "30 − 12 = 18", "11 × 18 = 198", "3 + 198 = 201", "10 × 201 = 2010", "2010 − 2 = 2008", "2 + 2008 = 2010"], "key": "year-2010-3♣10♠2♠Q♣10♥2♥3♥J♠"} {"id": "train-year-0202", "level": "year", "target": 2043, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 4 + 7 * (9 * (10 + 11 + 12) - 6)", "solution_steps": ["11 + 12 = 23", "10 + 23 = 33", "9 × 33 = 297", "297 − 6 = 291", "7 × 291 = 2037", "4 + 2037 = 2041", "2 + 2041 = 2043"], "key": "year-2043-4♦J♣9♠2♠Q♠7♣6♣10♦"} {"id": "train-year-0203", "level": "year", "target": 2011, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 2 * (4 + 11) * (9 * 9 - 2 * 7)", "solution_steps": ["4 + 11 = 15", "9 × 9 = 81", "2 × 7 = 14", "81 − 14 = 67", "15 × 67 = 1005", "2 × 1005 = 2010", "1 + 2010 = 2011"], "key": "year-2011-A♦9♣2♦9♥7♠J♠4♥2♣"} {"id": "train-year-0204", "level": "year", "target": 1955, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 5 * (12 * (9 + 4 * 6) - 5) - 2", "solution_steps": ["4 × 6 = 24", "9 + 24 = 33", "12 × 33 = 396", "396 − 5 = 391", "5 × 391 = 1955", "1955 − 2 = 1953", "2 + 1953 = 1955"], "key": "year-1955-6♥5♥4♠2♣5♣9♠2♦Q♠"} {"id": "train-year-0205", "level": "year", "target": 2094, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 5 + 7 + 10 * (3 + 10) * (7 + 9)", "solution_steps": ["3 + 10 = 13", "7 + 9 = 16", "13 × 16 = 208", "10 × 208 = 2080", "7 + 2080 = 2087", "5 + 2087 = 2092", "2 + 2092 = 2094"], "key": "year-2094-7♥5♥3♥7♦2♠10♣9♦10♦"} {"id": "train-year-0206", "level": "year", "target": 1926, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 5 + 2 * 12 * (11 - 1) * (4 + 4)", "solution_steps": ["11 − 1 = 10", "4 + 4 = 8", "10 × 8 = 80", "12 × 80 = 960", "2 × 960 = 1920", "5 + 1920 = 1925", "1 + 1925 = 1926"], "key": "year-1926-A♥A♦4♥2♣J♣Q♠4♠5♦"} {"id": "train-year-0207", "level": "year", "target": 1985, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 11 * (6 / 6 + 12 * (6 + 9)) - 7", "solution_steps": ["6 ÷ 6 = 1", "6 + 9 = 15", "12 × 15 = 180", "1 + 180 = 181", "11 × 181 = 1991", "1991 − 7 = 1984", "1 + 1984 = 1985"], "key": "year-1985-A♦Q♣9♠6♦J♦7♣6♥6♣"} {"id": "train-year-0208", "level": "year", "target": 1926, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 4 + 6 * 7 * (5 * 10 - 4) - 13", "solution_steps": ["5 × 10 = 50", "50 − 4 = 46", "7 × 46 = 322", "6 × 322 = 1932", "1932 − 13 = 1919", "4 + 1919 = 1923", "3 + 1923 = 1926"], "key": "year-1926-6♠7♣4♣10♦K♥5♥4♦3♥"} {"id": "train-year-0209", "level": "year", "target": 2065, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 1 * 12 * (2 + 5 * (10 + 3 * 8))", "solution_steps": ["3 × 8 = 24", "10 + 24 = 34", "5 × 34 = 170", "2 + 170 = 172", "12 × 172 = 2064", "1 × 2064 = 2064", "1 + 2064 = 2065"], "key": "year-2065-8♣A♦5♠10♥A♣Q♦3♣2♥"} {"id": "train-year-0210", "level": "year", "target": 2019, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + 12 * (7 * (13 + 9 * 12) - 7) / 5", "solution_steps": ["9 × 12 = 108", "13 + 108 = 121", "7 × 121 = 847", "847 − 7 = 840", "12 × 840 = 10080", "10080 ÷ 5 = 2016", "3 + 2016 = 2019"], "key": "year-2019-Q♦3♠7♥5♣K♦7♠9♦Q♣"} {"id": "train-year-0211", "level": "year", "target": 1930, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 2 + 7 + 10 * (12 + 12 * (6 + 9))", "solution_steps": ["6 + 9 = 15", "12 × 15 = 180", "12 + 180 = 192", "10 × 192 = 1920", "7 + 1920 = 1927", "2 + 1927 = 1929", "1 + 1929 = 1930"], "key": "year-1930-Q♥A♦10♠7♣9♦6♦Q♦2♣"} {"id": "train-year-0212", "level": "year", "target": 1974, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 8 + 9 + 12 * (8 + 12 + 11 * 13)", "solution_steps": ["11 × 13 = 143", "12 + 143 = 155", "8 + 155 = 163", "12 × 163 = 1956", "9 + 1956 = 1965", "8 + 1965 = 1973", "1 + 1973 = 1974"], "key": "year-1974-8♥K♦J♣A♦8♠9♣Q♦Q♣"} {"id": "train-year-0213", "level": "year", "target": 2051, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 13 + 5 * (7 + 10) * (11 + 13) - 4", "solution_steps": ["7 + 10 = 17", "11 + 13 = 24", "17 × 24 = 408", "5 × 408 = 2040", "13 + 2040 = 2053", "2053 − 4 = 2049", "2 + 2049 = 2051"], "key": "year-2051-K♥4♥10♦7♥2♦J♠K♦5♦"} {"id": "train-year-0214", "level": "year", "target": 1928, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 8 + 7 * (11 + 12 * (10 + 12)) - 6", "solution_steps": ["10 + 12 = 22", "12 × 22 = 264", "11 + 264 = 275", "7 × 275 = 1925", "8 + 1925 = 1933", "1933 − 6 = 1927", "1 + 1927 = 1928"], "key": "year-1928-7♣Q♣A♦Q♦8♦10♥J♥6♣"} {"id": "train-year-0215", "level": "year", "target": 1904, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 11 * (2 + 9 * (1 + 2 * (2 + 7)))", "solution_steps": ["2 + 7 = 9", "2 × 9 = 18", "1 + 18 = 19", "9 × 19 = 171", "2 + 171 = 173", "11 × 173 = 1903", "1 + 1903 = 1904"], "key": "year-1904-J♦2♦A♣9♦A♦2♥7♦2♠"} {"id": "train-year-0216", "level": "year", "target": 2010, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 5 + 8 * (13 * (9 + 11) - 8) - 12", "solution_steps": ["9 + 11 = 20", "13 × 20 = 260", "260 − 8 = 252", "8 × 252 = 2016", "2016 − 12 = 2004", "5 + 2004 = 2009", "1 + 2009 = 2010"], "key": "year-2010-8♣A♣K♠5♣Q♠J♦8♥9♠"} {"id": "train-year-0217", "level": "year", "target": 1981, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 2 + 10 * 11 * (9 + 9) - 8 / 4", "solution_steps": ["9 + 9 = 18", "11 × 18 = 198", "10 × 198 = 1980", "8 ÷ 4 = 2", "1980 − 2 = 1978", "2 + 1978 = 1980", "1 + 1980 = 1981"], "key": "year-1981-8♦9♦J♣2♥A♦4♠9♣10♠"} {"id": "train-year-0218", "level": "year", "target": 1963, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 10 + 13 + 13 * (5 + 12 * 13 - 12)", "solution_steps": ["12 × 13 = 156", "156 − 12 = 144", "5 + 144 = 149", "13 × 149 = 1937", "13 + 1937 = 1950", "10 + 1950 = 1960", "3 + 1960 = 1963"], "key": "year-1963-K♦10♣5♣Q♥K♣Q♠K♠3♠"} {"id": "train-year-0219", "level": "year", "target": 1988, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 + 9 + 13 * (9 + 10 + 12 * 12 - 11)", "solution_steps": ["12 × 12 = 144", "144 − 11 = 133", "10 + 133 = 143", "9 + 143 = 152", "13 × 152 = 1976", "9 + 1976 = 1985", "3 + 1985 = 1988"], "key": "year-1988-9♦Q♣10♥3♣K♥Q♦9♣J♣"} {"id": "train-year-0220", "level": "year", "target": 1973, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "4 + 11 * (6 + 12 * (11 + 6 * 13)) / 6", "solution_steps": ["6 × 13 = 78", "11 + 78 = 89", "12 × 89 = 1068", "6 + 1068 = 1074", "11 × 1074 = 11814", "11814 ÷ 6 = 1969", "4 + 1969 = 1973"], "key": "year-1973-Q♦6♣K♣J♦J♥6♥6♦4♥"} {"id": "train-year-0221", "level": "year", "target": 2020, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 2 + 3 + (6 + 13) * (7 + 9 * 11)", "solution_steps": ["6 + 13 = 19", "9 × 11 = 99", "7 + 99 = 106", "19 × 106 = 2014", "3 + 2014 = 2017", "2 + 2017 = 2019", "1 + 2019 = 2020"], "key": "year-2020-7♥2♠K♠3♦6♣9♣A♠J♥"} {"id": "train-year-0222", "level": "year", "target": 2063, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "4 + 13 * (6 + 9 + 8 * (8 + 10)) - 8", "solution_steps": ["8 + 10 = 18", "8 × 18 = 144", "9 + 144 = 153", "6 + 153 = 159", "13 × 159 = 2067", "2067 − 8 = 2059", "4 + 2059 = 2063"], "key": "year-2063-8♠6♠K♦8♦9♥8♣10♦4♠"} {"id": "train-year-0223", "level": "year", "target": 2067, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 3 + 5 * 9 * (6 * 9 - 8) - 7", "solution_steps": ["6 × 9 = 54", "54 − 8 = 46", "9 × 46 = 414", "5 × 414 = 2070", "2070 − 7 = 2063", "3 + 2063 = 2066", "1 + 2066 = 2067"], "key": "year-2067-9♣A♠8♠3♠9♥5♥7♦6♠"} {"id": "train-year-0224", "level": "year", "target": 2082, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 2 * 2 * 4 * (5 + 5) * (6 + 7)", "solution_steps": ["5 + 5 = 10", "6 + 7 = 13", "10 × 13 = 130", "4 × 130 = 520", "2 × 520 = 1040", "2 × 1040 = 2080", "2 + 2080 = 2082"], "key": "year-2082-2♥2♣2♦5♦5♠7♥4♦6♠"} {"id": "train-year-0225", "level": "year", "target": 1901, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 8 * 13 * (8 * 11 - 10 - 5) / 4", "solution_steps": ["8 × 11 = 88", "88 − 10 = 78", "78 − 5 = 73", "13 × 73 = 949", "8 × 949 = 7592", "7592 ÷ 4 = 1898", "3 + 1898 = 1901"], "key": "year-1901-4♠K♦5♣3♦8♣8♦J♥10♥"} {"id": "train-year-0226", "level": "year", "target": 1963, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 1 + 8 + 9 * (13 * (5 + 12) - 4)", "solution_steps": ["5 + 12 = 17", "13 × 17 = 221", "221 − 4 = 217", "9 × 217 = 1953", "8 + 1953 = 1961", "1 + 1961 = 1962", "1 + 1962 = 1963"], "key": "year-1963-Q♦8♠5♥9♠A♣A♥K♥4♦"} {"id": "train-year-0227", "level": "year", "target": 2097, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 3 + 11 * 12 * (5 + 11) - 11 - 9", "solution_steps": ["5 + 11 = 16", "12 × 16 = 192", "11 × 192 = 2112", "2112 − 11 = 2101", "2101 − 9 = 2092", "3 + 2092 = 2095", "2 + 2095 = 2097"], "key": "year-2097-Q♣J♦9♥2♦J♣3♦5♥J♠"} {"id": "train-year-0228", "level": "year", "target": 1995, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 5 + 12 + 13 * (4 * 5 + 11 * 12)", "solution_steps": ["4 × 5 = 20", "11 × 12 = 132", "20 + 132 = 152", "13 × 152 = 1976", "12 + 1976 = 1988", "5 + 1988 = 1993", "2 + 1993 = 1995"], "key": "year-1995-5♥Q♦K♣4♥Q♠5♠J♦2♦"} {"id": "train-year-0229", "level": "year", "target": 1977, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 6 * (8 + 9 + 3 * 8 * 13)", "solution_steps": ["8 × 13 = 104", "3 × 104 = 312", "9 + 312 = 321", "8 + 321 = 329", "6 × 329 = 1974", "2 + 1974 = 1976", "1 + 1976 = 1977"], "key": "year-1977-8♥A♠9♦8♠K♦3♦6♥2♠"} {"id": "train-year-0230", "level": "year", "target": 1971, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 + 5 + 11 * (8 + 9 * (7 + 12)) - 6", "solution_steps": ["7 + 12 = 19", "9 × 19 = 171", "8 + 171 = 179", "11 × 179 = 1969", "1969 − 6 = 1963", "5 + 1963 = 1968", "3 + 1968 = 1971"], "key": "year-1971-Q♦3♦8♦J♥5♣6♥9♣7♥"} {"id": "train-year-0231", "level": "year", "target": 1973, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "4 + 7 + 12 + (13 + 13) * (7 * 12 - 9)", "solution_steps": ["13 + 13 = 26", "7 × 12 = 84", "84 − 9 = 75", "26 × 75 = 1950", "12 + 1950 = 1962", "7 + 1962 = 1969", "4 + 1969 = 1973"], "key": "year-1973-7♣7♠9♥Q♠Q♣4♥K♣K♠"} {"id": "train-year-0232", "level": "year", "target": 2046, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 9 * (13 - 1) * (8 + 11) - 8", "solution_steps": ["13 − 1 = 12", "8 + 11 = 19", "12 × 19 = 228", "9 × 228 = 2052", "2052 − 8 = 2044", "1 + 2044 = 2045", "1 + 2045 = 2046"], "key": "year-2046-K♥8♥A♥J♥9♦A♠8♣A♣"} {"id": "train-year-0233", "level": "year", "target": 2041, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 2 + 8 + 10 * (12 * (5 + 13) - 13)", "solution_steps": ["5 + 13 = 18", "12 × 18 = 216", "216 − 13 = 203", "10 × 203 = 2030", "8 + 2030 = 2038", "2 + 2038 = 2040", "1 + 2040 = 2041"], "key": "year-2041-2♠Q♠10♦A♦K♣K♠5♦8♥"} {"id": "train-year-0234", "level": "year", "target": 2058, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 1 + 4 + 6 * 9 * (5 + 3 * 11)", "solution_steps": ["3 × 11 = 33", "5 + 33 = 38", "9 × 38 = 342", "6 × 342 = 2052", "4 + 2052 = 2056", "1 + 2056 = 2057", "1 + 2057 = 2058"], "key": "year-2058-A♠9♦5♦A♥6♦4♦J♠3♠"} {"id": "train-year-0235", "level": "year", "target": 2020, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 5 + (6 + 12) * (11 * 11 - 9) - 2", "solution_steps": ["6 + 12 = 18", "11 × 11 = 121", "121 − 9 = 112", "18 × 112 = 2016", "5 + 2016 = 2021", "2021 − 2 = 2019", "1 + 2019 = 2020"], "key": "year-2020-J♥6♠9♦2♥A♦Q♣J♠5♣"} {"id": "train-year-0236", "level": "year", "target": 1957, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 3 + (9 + 9) * (13 + 8 * 12) - 9", "solution_steps": ["9 + 9 = 18", "8 × 12 = 96", "13 + 96 = 109", "18 × 109 = 1962", "1962 − 9 = 1953", "3 + 1953 = 1956", "1 + 1956 = 1957"], "key": "year-1957-8♥3♦9♦K♠9♥9♣A♠Q♥"} {"id": "train-year-0237", "level": "year", "target": 2079, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 5 + 13 * (8 * 9 + 8 * 11) - 7", "solution_steps": ["8 × 9 = 72", "8 × 11 = 88", "72 + 88 = 160", "13 × 160 = 2080", "2080 − 7 = 2073", "5 + 2073 = 2078", "1 + 2078 = 2079"], "key": "year-2079-7♠J♣8♦A♥K♦5♥8♥9♦"} {"id": "train-year-0238", "level": "year", "target": 2055, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 3 + 9 * 10 * (11 + 12) - 11 - 8", "solution_steps": ["11 + 12 = 23", "10 × 23 = 230", "9 × 230 = 2070", "2070 − 11 = 2059", "2059 − 8 = 2051", "3 + 2051 = 2054", "1 + 2054 = 2055"], "key": "year-2055-Q♥10♠J♦A♦9♥3♣8♥J♥"} {"id": "train-year-0239", "level": "year", "target": 2074, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 5 + 13 * (10 + 5 * 13 + 7 * 12)", "solution_steps": ["5 × 13 = 65", "7 × 12 = 84", "65 + 84 = 149", "10 + 149 = 159", "13 × 159 = 2067", "5 + 2067 = 2072", "2 + 2072 = 2074"], "key": "year-2074-2♦5♣K♠Q♥5♠7♣K♣10♥"} {"id": "train-year-0240", "level": "year", "target": 1994, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 3 + 9 * (7 * 11 * (8 - 5) - 10)", "solution_steps": ["8 − 5 = 3", "11 × 3 = 33", "7 × 33 = 231", "231 − 10 = 221", "9 × 221 = 1989", "3 + 1989 = 1992", "2 + 1992 = 1994"], "key": "year-1994-2♥8♦7♠5♠10♦3♠J♠9♥"} {"id": "train-year-0241", "level": "year", "target": 1972, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 8 * (5 + 11 * (6 + 7 + 9)) - 5", "solution_steps": ["7 + 9 = 16", "6 + 16 = 22", "11 × 22 = 242", "5 + 242 = 247", "8 × 247 = 1976", "1976 − 5 = 1971", "1 + 1971 = 1972"], "key": "year-1972-5♥7♥5♠J♥9♦A♦6♦8♦"} {"id": "train-year-0242", "level": "year", "target": 2040, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 + (11 + 13) * (5 + 8 * 10) - 4", "solution_steps": ["11 + 13 = 24", "8 × 10 = 80", "5 + 80 = 85", "24 × 85 = 2040", "2040 − 4 = 2036", "3 + 2036 = 2039", "1 + 2039 = 2040"], "key": "year-2040-J♦K♥A♠10♦5♦4♣8♦3♣"} {"id": "train-year-0243", "level": "year", "target": 2031, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 6 + (10 + 12) * (7 * (6 + 9) - 13)", "solution_steps": ["10 + 12 = 22", "6 + 9 = 15", "7 × 15 = 105", "105 − 13 = 92", "22 × 92 = 2024", "6 + 2024 = 2030", "1 + 2030 = 2031"], "key": "year-2031-K♦10♥7♠Q♠6♣A♥9♠6♠"} {"id": "train-year-0244", "level": "year", "target": 1917, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 8 * 12 * (9 + 11) - 6 / 6 - 3", "solution_steps": ["9 + 11 = 20", "12 × 20 = 240", "8 × 240 = 1920", "6 ÷ 6 = 1", "1920 − 1 = 1919", "1919 − 3 = 1916", "1 + 1916 = 1917"], "key": "year-1917-6♥3♠Q♣9♦A♦6♠J♦8♠"} {"id": "train-year-0245", "level": "year", "target": 1961, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 2 * 2 * 7 * (3 + 7 + 6 * 10)", "solution_steps": ["6 × 10 = 60", "7 + 60 = 67", "3 + 67 = 70", "7 × 70 = 490", "2 × 490 = 980", "2 × 980 = 1960", "1 + 1960 = 1961"], "key": "year-1961-10♣7♦3♦6♥A♣2♠2♦7♥"} {"id": "train-year-0246", "level": "year", "target": 2073, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 + (8 + 9) * (11 * 12 - 10) - 4", "solution_steps": ["8 + 9 = 17", "11 × 12 = 132", "132 − 10 = 122", "17 × 122 = 2074", "2074 − 4 = 2070", "2 + 2070 = 2072", "1 + 2072 = 2073"], "key": "year-2073-A♣8♠10♦4♥9♠Q♥J♥2♥"} {"id": "train-year-0247", "level": "year", "target": 1993, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "(4 + 12) * (8 * (4 + 12) - 3) - 4 - 3", "solution_steps": ["4 + 12 = 16", "4 + 12 = 16", "8 × 16 = 128", "128 − 3 = 125", "16 × 125 = 2000", "2000 − 4 = 1996", "1996 − 3 = 1993"], "key": "year-1993-3♠4♣3♦8♠4♥Q♣Q♥4♠"} {"id": "train-year-0248", "level": "year", "target": 2005, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 3 + 5 * 5 * 8 * (6 + 11 - 7)", "solution_steps": ["11 − 7 = 4", "6 + 4 = 10", "8 × 10 = 80", "5 × 80 = 400", "5 × 400 = 2000", "3 + 2000 = 2003", "2 + 2003 = 2005"], "key": "year-2005-7♥2♦8♥5♣6♣3♥5♦J♣"} {"id": "train-year-0249", "level": "year", "target": 2092, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + (1 + 5 * 8) * (1 + 2 + 6 * 8)", "solution_steps": ["5 × 8 = 40", "1 + 40 = 41", "6 × 8 = 48", "2 + 48 = 50", "1 + 50 = 51", "41 × 51 = 2091", "1 + 2091 = 2092"], "key": "year-2092-6♠2♥A♥8♥A♠8♦5♥A♣"} {"id": "train-year-0250", "level": "year", "target": 2058, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 3 + 12 * (7 + 11 * (5 + 10)) - 10", "solution_steps": ["5 + 10 = 15", "11 × 15 = 165", "7 + 165 = 172", "12 × 172 = 2064", "2064 − 10 = 2054", "3 + 2054 = 2057", "1 + 2057 = 2058"], "key": "year-2058-10♠J♠7♠3♥5♥10♥Q♦A♦"} {"id": "train-year-0251", "level": "year", "target": 2002, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 1 + 4 * (12 + 8 * (11 + 5 * 10))", "solution_steps": ["5 × 10 = 50", "11 + 50 = 61", "8 × 61 = 488", "12 + 488 = 500", "4 × 500 = 2000", "1 + 2000 = 2001", "1 + 2001 = 2002"], "key": "year-2002-10♦5♠J♠4♠8♣A♥A♣Q♦"} {"id": "train-year-0252", "level": "year", "target": 1914, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 13 * (12 * 13 - 8) - 7 - 6", "solution_steps": ["12 × 13 = 156", "156 − 8 = 148", "13 × 148 = 1924", "1924 − 7 = 1917", "1917 − 6 = 1911", "2 + 1911 = 1913", "1 + 1913 = 1914"], "key": "year-1914-K♣7♦Q♦K♦A♠6♥8♣2♠"} {"id": "train-year-0253", "level": "year", "target": 2005, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 + 5 + 9 * (6 + 2 * 9 * 12)", "solution_steps": ["9 × 12 = 108", "2 × 108 = 216", "6 + 216 = 222", "9 × 222 = 1998", "5 + 1998 = 2003", "1 + 2003 = 2004", "1 + 2004 = 2005"], "key": "year-2005-Q♦A♣9♥9♣5♣6♦2♦A♥"} {"id": "train-year-0254", "level": "year", "target": 1986, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "2 + 4 + 5 * 6 * (8 + 10 + 4 * 12)", "solution_steps": ["4 × 12 = 48", "10 + 48 = 58", "8 + 58 = 66", "6 × 66 = 396", "5 × 396 = 1980", "4 + 1980 = 1984", "2 + 1984 = 1986"], "key": "year-1986-6♠2♣4♥4♦Q♣10♦8♦5♠"} {"id": "train-year-0255", "level": "year", "target": 2049, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 5 + 6 + 11 + 12 * 13 * 13 - 4", "solution_steps": ["13 × 13 = 169", "12 × 169 = 2028", "11 + 2028 = 2039", "6 + 2039 = 2045", "5 + 2045 = 2050", "2050 − 4 = 2046", "3 + 2046 = 2049"], "key": "year-2049-5♦4♣J♥K♣6♦Q♣K♦3♥"} {"id": "train-year-0256", "level": "year", "target": 1978, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 3 + 10 * (6 + 12 * (6 + 10)) - 7", "solution_steps": ["6 + 10 = 16", "12 × 16 = 192", "6 + 192 = 198", "10 × 198 = 1980", "1980 − 7 = 1973", "3 + 1973 = 1976", "2 + 1976 = 1978"], "key": "year-1978-10♥6♦3♣2♥10♦7♥6♥Q♠"} {"id": "train-year-0257", "level": "year", "target": 2065, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 2 + 10 + 9 * (4 * 5 * 12 - 12)", "solution_steps": ["5 × 12 = 60", "4 × 60 = 240", "240 − 12 = 228", "9 × 228 = 2052", "10 + 2052 = 2062", "2 + 2062 = 2064", "1 + 2064 = 2065"], "key": "year-2065-A♦2♦Q♠Q♣9♠4♥5♦10♦"} {"id": "train-year-0258", "level": "year", "target": 2046, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 3 + 6 * (4 + 4 * (7 * 13 - 7))", "solution_steps": ["7 × 13 = 91", "91 − 7 = 84", "4 × 84 = 336", "4 + 336 = 340", "6 × 340 = 2040", "3 + 2040 = 2043", "3 + 2043 = 2046"], "key": "year-2046-6♠7♠4♣7♣K♠3♥4♠3♠"} {"id": "train-year-0259", "level": "year", "target": 1943, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 2 + 5 * (3 + 7 * (5 * 12 - 5))", "solution_steps": ["5 × 12 = 60", "60 − 5 = 55", "7 × 55 = 385", "3 + 385 = 388", "5 × 388 = 1940", "2 + 1940 = 1942", "1 + 1942 = 1943"], "key": "year-1943-5♦3♠5♣7♦A♦2♠Q♦5♠"} {"id": "train-year-0260", "level": "year", "target": 2054, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "3 + 4 + (7 + 7 + 9) * (9 * 11 - 10)", "solution_steps": ["7 + 9 = 16", "7 + 16 = 23", "9 × 11 = 99", "99 − 10 = 89", "23 × 89 = 2047", "4 + 2047 = 2051", "3 + 2051 = 2054"], "key": "year-2054-3♠9♠4♠7♦J♦10♥7♣9♣"} {"id": "train-year-0261", "level": "year", "target": 2014, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "3 + 4 + 9 * (6 + 9 + 8 * (13 + 13))", "solution_steps": ["13 + 13 = 26", "8 × 26 = 208", "9 + 208 = 217", "6 + 217 = 223", "9 × 223 = 2007", "4 + 2007 = 2011", "3 + 2011 = 2014"], "key": "year-2014-6♣4♥9♥9♠8♦3♣K♣K♦"} {"id": "train-year-0262", "level": "year", "target": 2000, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 6 * 9 * (13 + 2 * (5 + 7))", "solution_steps": ["5 + 7 = 12", "2 × 12 = 24", "13 + 24 = 37", "9 × 37 = 333", "6 × 333 = 1998", "1 + 1998 = 1999", "1 + 1999 = 2000"], "key": "year-2000-9♥6♠K♣5♥2♥7♣A♦A♠"} {"id": "train-year-0263", "level": "year", "target": 2002, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 2 + 11 * (6 + 11 * (4 + 12)) - 3", "solution_steps": ["4 + 12 = 16", "11 × 16 = 176", "6 + 176 = 182", "11 × 182 = 2002", "2002 − 3 = 1999", "2 + 1999 = 2001", "1 + 2001 = 2002"], "key": "year-2002-3♥4♥Q♥J♠2♠6♠A♥J♣"} {"id": "train-year-0264", "level": "year", "target": 2036, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 6 + 9 * (5 + 13 * (7 + 10)) - 6", "solution_steps": ["7 + 10 = 17", "13 × 17 = 221", "5 + 221 = 226", "9 × 226 = 2034", "2034 − 6 = 2028", "6 + 2028 = 2034", "2 + 2034 = 2036"], "key": "year-2036-7♣2♥6♠K♥6♥10♣5♦9♥"} {"id": "train-year-0265", "level": "year", "target": 1906, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 3 + 12 * (4 + 12 * 13) - 11 - 8", "solution_steps": ["12 × 13 = 156", "4 + 156 = 160", "12 × 160 = 1920", "1920 − 11 = 1909", "1909 − 8 = 1901", "3 + 1901 = 1904", "2 + 1904 = 1906"], "key": "year-1906-3♠J♠8♦Q♥4♥Q♠K♣2♥"} {"id": "train-year-0266", "level": "year", "target": 2046, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "3 + 10 * (9 + 7 * (4 * 8 - 4)) - 7", "solution_steps": ["4 × 8 = 32", "32 − 4 = 28", "7 × 28 = 196", "9 + 196 = 205", "10 × 205 = 2050", "2050 − 7 = 2043", "3 + 2043 = 2046"], "key": "year-2046-3♣7♣10♣9♦7♦4♣8♣4♠"} {"id": "train-year-0267", "level": "year", "target": 1945, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 1 * 12 * (1 + 7 * (3 * 10 - 7))", "solution_steps": ["3 × 10 = 30", "30 − 7 = 23", "7 × 23 = 161", "1 + 161 = 162", "12 × 162 = 1944", "1 × 1944 = 1944", "1 + 1944 = 1945"], "key": "year-1945-7♥3♥Q♦7♣A♦A♣A♥10♥"} {"id": "train-year-0268", "level": "year", "target": 1917, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 + 7 * (6 * 9 + 4 * 5 * 11) - 4", "solution_steps": ["6 × 9 = 54", "5 × 11 = 55", "4 × 55 = 220", "54 + 220 = 274", "7 × 274 = 1918", "1918 − 4 = 1914", "3 + 1914 = 1917"], "key": "year-1917-J♠9♥4♣3♣7♥4♥5♦6♣"} {"id": "train-year-0269", "level": "year", "target": 1936, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + (8 * 11 * (7 * 8 - 12) - 2) / 2", "solution_steps": ["7 × 8 = 56", "56 − 12 = 44", "11 × 44 = 484", "8 × 484 = 3872", "3872 − 2 = 3870", "3870 ÷ 2 = 1935", "1 + 1935 = 1936"], "key": "year-1936-A♠2♣8♠2♥8♣J♣7♥Q♥"} {"id": "train-year-0270", "level": "year", "target": 2029, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + 6 + (8 + 10) * (10 * 12 - 7) - 13", "solution_steps": ["8 + 10 = 18", "10 × 12 = 120", "120 − 7 = 113", "18 × 113 = 2034", "2034 − 13 = 2021", "6 + 2021 = 2027", "2 + 2027 = 2029"], "key": "year-2029-K♠8♥Q♥10♥2♦7♦10♦6♦"} {"id": "train-year-0271", "level": "year", "target": 2029, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 4 + 7 * (5 * (12 + 6 * 8) - 11)", "solution_steps": ["6 × 8 = 48", "12 + 48 = 60", "5 × 60 = 300", "300 − 11 = 289", "7 × 289 = 2023", "4 + 2023 = 2027", "2 + 2027 = 2029"], "key": "year-2029-4♣7♦2♦8♠5♥6♥Q♣J♥"} {"id": "train-year-0272", "level": "year", "target": 2076, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 3 + 4 * 7 * (13 + 6 * 11 - 5)", "solution_steps": ["6 × 11 = 66", "13 + 66 = 79", "79 − 5 = 74", "7 × 74 = 518", "4 × 518 = 2072", "3 + 2072 = 2075", "1 + 2075 = 2076"], "key": "year-2076-J♠A♥4♥K♠5♠7♠3♣6♥"} {"id": "train-year-0273", "level": "year", "target": 2031, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + 5 * 6 * (7 * 11 - 9) - 8 - 3", "solution_steps": ["7 × 11 = 77", "77 − 9 = 68", "6 × 68 = 408", "5 × 408 = 2040", "2040 − 8 = 2032", "2032 − 3 = 2029", "2 + 2029 = 2031"], "key": "year-2031-8♥7♦J♠9♣2♣5♣3♦6♦"} {"id": "train-year-0274", "level": "year", "target": 2033, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "3 + 4 + 10 + 7 * 9 * (9 + 11 + 12)", "solution_steps": ["11 + 12 = 23", "9 + 23 = 32", "9 × 32 = 288", "7 × 288 = 2016", "10 + 2016 = 2026", "4 + 2026 = 2030", "3 + 2030 = 2033"], "key": "year-2033-7♦9♠J♥3♥10♥Q♣9♣4♣"} {"id": "train-year-0275", "level": "year", "target": 1979, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 3 + 5 + 11 * (8 * (12 + 12) - 13)", "solution_steps": ["12 + 12 = 24", "8 × 24 = 192", "192 − 13 = 179", "11 × 179 = 1969", "5 + 1969 = 1974", "3 + 1974 = 1977", "2 + 1977 = 1979"], "key": "year-1979-3♥J♠K♣2♦Q♦5♠Q♠8♦"} {"id": "train-year-0276", "level": "year", "target": 1949, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 5 * 5 * (12 * (8 - 1) - 6) - 2", "solution_steps": ["8 − 1 = 7", "12 × 7 = 84", "84 − 6 = 78", "5 × 78 = 390", "5 × 390 = 1950", "1950 − 2 = 1948", "1 + 1948 = 1949"], "key": "year-1949-A♥6♦8♠5♠2♥5♦Q♦A♠"} {"id": "train-year-0277", "level": "year", "target": 2030, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 3 + 9 * (4 + 13 * (3 + 5 + 9))", "solution_steps": ["5 + 9 = 14", "3 + 14 = 17", "13 × 17 = 221", "4 + 221 = 225", "9 × 225 = 2025", "3 + 2025 = 2028", "2 + 2028 = 2030"], "key": "year-2030-3♥K♥9♣2♣4♣9♦3♦5♥"} {"id": "train-year-0278", "level": "year", "target": 2046, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 2 + 3 + 6 * (7 + 10) * (8 + 12)", "solution_steps": ["7 + 10 = 17", "8 + 12 = 20", "17 × 20 = 340", "6 × 340 = 2040", "3 + 2040 = 2043", "2 + 2043 = 2045", "1 + 2045 = 2046"], "key": "year-2046-Q♠8♦10♥2♥6♠3♠A♦7♥"} {"id": "train-year-0279", "level": "year", "target": 2011, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + (8 + 9) * (5 * 6 + 8 * 11)", "solution_steps": ["8 + 9 = 17", "5 × 6 = 30", "8 × 11 = 88", "30 + 88 = 118", "17 × 118 = 2006", "3 + 2006 = 2009", "2 + 2009 = 2011"], "key": "year-2011-8♦J♣9♠5♦6♣8♥2♥3♠"} {"id": "train-year-0280", "level": "year", "target": 1951, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 + 6 + 11 + 9 * 12 * (7 + 11) - 13", "solution_steps": ["7 + 11 = 18", "12 × 18 = 216", "9 × 216 = 1944", "1944 − 13 = 1931", "11 + 1931 = 1942", "6 + 1942 = 1948", "3 + 1948 = 1951"], "key": "year-1951-K♣3♦J♣J♦9♣6♣7♠Q♦"} {"id": "train-year-0281", "level": "year", "target": 1922, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 3 + 9 * (9 + 8 * 11 * 12) / 5", "solution_steps": ["11 × 12 = 132", "8 × 132 = 1056", "9 + 1056 = 1065", "9 × 1065 = 9585", "9585 ÷ 5 = 1917", "3 + 1917 = 1920", "2 + 1920 = 1922"], "key": "year-1922-9♣8♣9♥J♣3♥Q♥2♦5♥"} {"id": "train-year-0282", "level": "year", "target": 2089, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 10 + 13 * (7 + 9 * (5 + 12)) - 3", "solution_steps": ["5 + 12 = 17", "9 × 17 = 153", "7 + 153 = 160", "13 × 160 = 2080", "10 + 2080 = 2090", "2090 − 3 = 2087", "2 + 2087 = 2089"], "key": "year-2089-K♣5♣3♣10♥7♥2♦Q♠9♦"} {"id": "train-year-0283", "level": "year", "target": 2054, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 7 + 6 * (8 * (6 * 8 - 4) - 11)", "solution_steps": ["6 × 8 = 48", "48 − 4 = 44", "8 × 44 = 352", "352 − 11 = 341", "6 × 341 = 2046", "7 + 2046 = 2053", "1 + 2053 = 2054"], "key": "year-2054-8♠J♣7♥A♣6♥4♦6♣8♦"} {"id": "train-year-0284", "level": "year", "target": 2018, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "3 + 6 + 6 * 12 * (8 + 9 + 11) - 7", "solution_steps": ["9 + 11 = 20", "8 + 20 = 28", "12 × 28 = 336", "6 × 336 = 2016", "2016 − 7 = 2009", "6 + 2009 = 2015", "3 + 2015 = 2018"], "key": "year-2018-3♦Q♦J♦6♥9♠7♥8♦6♠"} {"id": "train-year-0285", "level": "year", "target": 1973, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 3 + 8 * (7 - 5) * (10 * 13 - 7)", "solution_steps": ["7 − 5 = 2", "10 × 13 = 130", "130 − 7 = 123", "2 × 123 = 246", "8 × 246 = 1968", "3 + 1968 = 1971", "2 + 1971 = 1973"], "key": "year-1973-5♣8♦7♦K♥10♣7♣3♣2♥"} {"id": "train-year-0286", "level": "year", "target": 1900, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 2 + 9 * (9 * (12 + 12) - 5) - 3", "solution_steps": ["12 + 12 = 24", "9 × 24 = 216", "216 − 5 = 211", "9 × 211 = 1899", "1899 − 3 = 1896", "2 + 1896 = 1898", "2 + 1898 = 1900"], "key": "year-1900-9♣5♥Q♥2♣Q♣3♠9♥2♦"} {"id": "train-year-0287", "level": "year", "target": 1906, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 4 + 5 * (13 - 8) * (6 + 7 * 10)", "solution_steps": ["13 − 8 = 5", "7 × 10 = 70", "6 + 70 = 76", "5 × 76 = 380", "5 × 380 = 1900", "4 + 1900 = 1904", "2 + 1904 = 1906"], "key": "year-1906-K♥10♠4♠8♦6♦2♠5♥7♠"} {"id": "train-year-0288", "level": "year", "target": 2090, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "3 + 4 + 11 + 8 * (9 + 10 * (12 + 13))", "solution_steps": ["12 + 13 = 25", "10 × 25 = 250", "9 + 250 = 259", "8 × 259 = 2072", "11 + 2072 = 2083", "4 + 2083 = 2087", "3 + 2087 = 2090"], "key": "year-2090-8♥10♣4♣Q♥K♦J♠3♥9♠"} {"id": "train-year-0289", "level": "year", "target": 2072, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 4 + (8 + 9) * (11 * 12 - 10) - 7", "solution_steps": ["8 + 9 = 17", "11 × 12 = 132", "132 − 10 = 122", "17 × 122 = 2074", "2074 − 7 = 2067", "4 + 2067 = 2071", "1 + 2071 = 2072"], "key": "year-2072-Q♦9♦J♣7♦4♦10♥A♥8♠"} {"id": "train-year-0290", "level": "year", "target": 2059, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 3 + 9 * (8 + 13 * (7 + 10)) - 6", "solution_steps": ["7 + 10 = 17", "13 × 17 = 221", "8 + 221 = 229", "9 × 229 = 2061", "2061 − 6 = 2055", "3 + 2055 = 2058", "1 + 2058 = 2059"], "key": "year-2059-6♠9♥8♠3♣A♦10♠7♠K♠"} {"id": "train-year-0291", "level": "year", "target": 2018, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 2 * (13 * 13 * (3 + 3) - 5) - 1", "solution_steps": ["3 + 3 = 6", "13 × 6 = 78", "13 × 78 = 1014", "1014 − 5 = 1009", "2 × 1009 = 2018", "2018 − 1 = 2017", "1 + 2017 = 2018"], "key": "year-2018-3♣A♥2♣5♦3♥A♦K♦K♥"} {"id": "train-year-0292", "level": "year", "target": 2066, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + (11 + 4 * 12) * (6 * 6 - 12 / 12)", "solution_steps": ["4 × 12 = 48", "11 + 48 = 59", "6 × 6 = 36", "12 ÷ 12 = 1", "36 − 1 = 35", "59 × 35 = 2065", "1 + 2065 = 2066"], "key": "year-2066-Q♥Q♦A♥4♦J♣6♥6♣Q♠"} {"id": "train-year-0293", "level": "year", "target": 1979, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 3 + 4 + 7 + 13 * (12 * 13 - 5)", "solution_steps": ["12 × 13 = 156", "156 − 5 = 151", "13 × 151 = 1963", "7 + 1963 = 1970", "4 + 1970 = 1974", "3 + 1974 = 1977", "2 + 1977 = 1979"], "key": "year-1979-2♥7♠K♦Q♥5♣3♦4♥K♥"} {"id": "train-year-0294", "level": "year", "target": 1998, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "2 + 4 + 12 * (4 + 9 * (13 + 13 - 8))", "solution_steps": ["13 + 13 = 26", "26 − 8 = 18", "9 × 18 = 162", "4 + 162 = 166", "12 × 166 = 1992", "4 + 1992 = 1996", "2 + 1996 = 1998"], "key": "year-1998-K♦K♥4♣2♦8♣9♥4♦Q♣"} {"id": "train-year-0295", "level": "year", "target": 1956, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 4 + 2 * 5 * (10 * (7 + 13) - 5)", "solution_steps": ["7 + 13 = 20", "10 × 20 = 200", "200 − 5 = 195", "5 × 195 = 975", "2 × 975 = 1950", "4 + 1950 = 1954", "2 + 1954 = 1956"], "key": "year-1956-2♥5♣10♠4♦5♦K♣2♣7♦"} {"id": "train-year-0296", "level": "year", "target": 1927, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "4 + 5 + 7 * (8 + 12 * (10 + 13) - 10)", "solution_steps": ["10 + 13 = 23", "12 × 23 = 276", "276 − 10 = 266", "8 + 266 = 274", "7 × 274 = 1918", "5 + 1918 = 1923", "4 + 1923 = 1927"], "key": "year-1927-5♦8♠Q♠10♦K♦7♦10♥4♥"} {"id": "train-year-0297", "level": "year", "target": 2070, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 6 + 13 * (11 + 12 * 13) - 9 * 12", "solution_steps": ["12 × 13 = 156", "11 + 156 = 167", "13 × 167 = 2171", "9 × 12 = 108", "2171 − 108 = 2063", "6 + 2063 = 2069", "1 + 2069 = 2070"], "key": "year-2070-6♠Q♣A♣K♥9♥Q♥J♣K♣"} {"id": "train-year-0298", "level": "year", "target": 2014, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 2 * (12 * (3 + 9 * 9) - 1) - 1", "solution_steps": ["9 × 9 = 81", "3 + 81 = 84", "12 × 84 = 1008", "1008 − 1 = 1007", "2 × 1007 = 2014", "2014 − 1 = 2013", "1 + 2013 = 2014"], "key": "year-2014-A♥A♣9♥2♣9♠Q♦A♦3♦"} {"id": "train-year-0299", "level": "year", "target": 1993, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 4 + 12 + 9 * 11 * (9 + 11) - 5", "solution_steps": ["9 + 11 = 20", "11 × 20 = 220", "9 × 220 = 1980", "12 + 1980 = 1992", "1992 − 5 = 1987", "4 + 1987 = 1991", "2 + 1991 = 1993"], "key": "year-1993-2♦9♦4♣5♣Q♣9♥J♣J♥"} {"id": "train-year-0300", "level": "year", "target": 2084, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 2 + 6 * (4 * 8 * 11 - 3) - 13", "solution_steps": ["8 × 11 = 88", "4 × 88 = 352", "352 − 3 = 349", "6 × 349 = 2094", "2094 − 13 = 2081", "2 + 2081 = 2083", "1 + 2083 = 2084"], "key": "year-2084-4♦6♦A♣2♦K♥J♦3♦8♠"} {"id": "train-year-0301", "level": "year", "target": 1903, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 + 8 * (6 + 11 + 13 * (6 + 11)) - 5", "solution_steps": ["6 + 11 = 17", "13 × 17 = 221", "11 + 221 = 232", "6 + 232 = 238", "8 × 238 = 1904", "1904 − 5 = 1899", "4 + 1899 = 1903"], "key": "year-1903-5♦K♥6♥J♦J♠6♠8♦4♣"} {"id": "train-year-0302", "level": "year", "target": 2079, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 4 * 5 * 8 * (6 + 7) - 1 - 1", "solution_steps": ["6 + 7 = 13", "8 × 13 = 104", "5 × 104 = 520", "4 × 520 = 2080", "2080 − 1 = 2079", "2079 − 1 = 2078", "1 + 2078 = 2079"], "key": "year-2079-7♦8♦6♦5♦4♣A♣A♦A♥"} {"id": "train-year-0303", "level": "year", "target": 1957, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 6 + 13 * (8 + 9 + 12 + 11 * 11)", "solution_steps": ["11 × 11 = 121", "12 + 121 = 133", "9 + 133 = 142", "8 + 142 = 150", "13 × 150 = 1950", "6 + 1950 = 1956", "1 + 1956 = 1957"], "key": "year-1957-A♠8♣J♦6♣9♦Q♥J♥K♥"} {"id": "train-year-0304", "level": "year", "target": 2019, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "3 + 3 + 5 * 9 + 12 * (13 * 13 - 5)", "solution_steps": ["5 × 9 = 45", "13 × 13 = 169", "169 − 5 = 164", "12 × 164 = 1968", "45 + 1968 = 2013", "3 + 2013 = 2016", "3 + 2016 = 2019"], "key": "year-2019-9♥3♥Q♣5♠K♣3♠5♥K♥"} {"id": "train-year-0305", "level": "year", "target": 2044, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 9 + 9 * (2 + 4 * 8 * (9 - 2))", "solution_steps": ["9 − 2 = 7", "8 × 7 = 56", "4 × 56 = 224", "2 + 224 = 226", "9 × 226 = 2034", "9 + 2034 = 2043", "1 + 2043 = 2044"], "key": "year-2044-2♦4♦A♠9♠9♦8♣2♣9♣"} {"id": "train-year-0306", "level": "year", "target": 1972, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "4 + 6 + (8 + 10) * (12 + 8 * 13 - 7)", "solution_steps": ["8 + 10 = 18", "8 × 13 = 104", "12 + 104 = 116", "116 − 7 = 109", "18 × 109 = 1962", "6 + 1962 = 1968", "4 + 1968 = 1972"], "key": "year-1972-8♥Q♥4♥10♥8♠K♣6♠7♠"} {"id": "train-year-0307", "level": "year", "target": 2075, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "4 + 6 + 7 * ((7 + 7) * (10 + 12) - 13)", "solution_steps": ["7 + 7 = 14", "10 + 12 = 22", "14 × 22 = 308", "308 − 13 = 295", "7 × 295 = 2065", "6 + 2065 = 2071", "4 + 2071 = 2075"], "key": "year-2075-10♦Q♠K♥7♣7♥4♠7♦6♠"} {"id": "train-year-0308", "level": "year", "target": 1925, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 9 * (7 + 9 * (3 + 7 + 13)) - 2", "solution_steps": ["7 + 13 = 20", "3 + 20 = 23", "9 × 23 = 207", "7 + 207 = 214", "9 × 214 = 1926", "1926 − 2 = 1924", "1 + 1924 = 1925"], "key": "year-1925-7♥7♦A♥3♦9♣K♦2♥9♠"} {"id": "train-year-0309", "level": "year", "target": 2080, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 6 + 8 + 12 * (11 * (8 + 8) - 4)", "solution_steps": ["8 + 8 = 16", "11 × 16 = 176", "176 − 4 = 172", "12 × 172 = 2064", "8 + 2064 = 2072", "6 + 2072 = 2078", "2 + 2078 = 2080"], "key": "year-2080-8♠Q♥6♠4♦8♦8♥2♥J♥"} {"id": "train-year-0310", "level": "year", "target": 1977, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 5 + 13 * (12 + 7 * (10 + 10)) - 6", "solution_steps": ["10 + 10 = 20", "7 × 20 = 140", "12 + 140 = 152", "13 × 152 = 1976", "1976 − 6 = 1970", "5 + 1970 = 1975", "2 + 1975 = 1977"], "key": "year-1977-10♥5♥K♠7♥6♥Q♥2♣10♦"} {"id": "train-year-0311", "level": "year", "target": 1911, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 3 + 11 + 8 * (11 * (9 + 13) - 5)", "solution_steps": ["9 + 13 = 22", "11 × 22 = 242", "242 − 5 = 237", "8 × 237 = 1896", "11 + 1896 = 1907", "3 + 1907 = 1910", "1 + 1910 = 1911"], "key": "year-1911-K♣5♣A♣J♠8♦J♣3♦9♥"} {"id": "train-year-0312", "level": "year", "target": 2056, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 3 + (2 + 2 * 8) * (10 * 12 - 6)", "solution_steps": ["2 × 8 = 16", "2 + 16 = 18", "10 × 12 = 120", "120 − 6 = 114", "18 × 114 = 2052", "3 + 2052 = 2055", "1 + 2055 = 2056"], "key": "year-2056-10♠3♣8♣2♠A♠Q♥2♣6♣"} {"id": "train-year-0313", "level": "year", "target": 1936, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "4 + 5 + 12 * (9 + 8 * (9 + 10)) - 5", "solution_steps": ["9 + 10 = 19", "8 × 19 = 152", "9 + 152 = 161", "12 × 161 = 1932", "1932 − 5 = 1927", "5 + 1927 = 1932", "4 + 1932 = 1936"], "key": "year-1936-9♦5♣4♠5♠10♥9♥8♣Q♦"} {"id": "train-year-0314", "level": "year", "target": 1900, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "3 + 4 + 13 * (6 + 10 * (6 + 8)) - 5", "solution_steps": ["6 + 8 = 14", "10 × 14 = 140", "6 + 140 = 146", "13 × 146 = 1898", "1898 − 5 = 1893", "4 + 1893 = 1897", "3 + 1897 = 1900"], "key": "year-1900-K♣10♠6♠8♠6♦3♦4♣5♠"} {"id": "train-year-0315", "level": "year", "target": 2062, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 2 + (3 + 11) * (3 + 12 * (4 + 8))", "solution_steps": ["3 + 11 = 14", "4 + 8 = 12", "12 × 12 = 144", "3 + 144 = 147", "14 × 147 = 2058", "2 + 2058 = 2060", "2 + 2060 = 2062"], "key": "year-2062-3♦Q♣2♦2♥4♠3♥J♦8♦"} {"id": "train-year-0316", "level": "year", "target": 2003, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + 2 + 5 * (9 + 7 * 7 * 8) - 6", "solution_steps": ["7 × 8 = 56", "7 × 56 = 392", "9 + 392 = 401", "5 × 401 = 2005", "2005 − 6 = 1999", "2 + 1999 = 2001", "2 + 2001 = 2003"], "key": "year-2003-2♠8♣7♥2♥5♥9♠6♥7♣"} {"id": "train-year-0317", "level": "year", "target": 2015, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 4 * 12 * (9 * (13 - 7) - 12) - 3", "solution_steps": ["13 − 7 = 6", "9 × 6 = 54", "54 − 12 = 42", "12 × 42 = 504", "4 × 504 = 2016", "2016 − 3 = 2013", "2 + 2013 = 2015"], "key": "year-2015-K♦4♣3♦Q♥7♥Q♣9♦2♠"} {"id": "train-year-0318", "level": "year", "target": 2069, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 2 + 3 * 7 * 9 * 11 - 8 - 5", "solution_steps": ["9 × 11 = 99", "7 × 99 = 693", "3 × 693 = 2079", "2079 − 8 = 2071", "2071 − 5 = 2066", "2 + 2066 = 2068", "1 + 2068 = 2069"], "key": "year-2069-5♠J♥8♣2♣A♦9♠3♠7♦"} {"id": "train-year-0319", "level": "year", "target": 2069, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + 12 * (11 + 9 * (6 + 12)) - 6 - 4", "solution_steps": ["6 + 12 = 18", "9 × 18 = 162", "11 + 162 = 173", "12 × 173 = 2076", "2076 − 6 = 2070", "2070 − 4 = 2066", "3 + 2066 = 2069"], "key": "year-2069-Q♠6♥4♠J♠6♠3♥9♣Q♣"} {"id": "train-year-0320", "level": "year", "target": 2045, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "4 + 5 + 6 + 7 * 10 * (8 + 9 + 12)", "solution_steps": ["9 + 12 = 21", "8 + 21 = 29", "10 × 29 = 290", "7 × 290 = 2030", "6 + 2030 = 2036", "5 + 2036 = 2041", "4 + 2041 = 2045"], "key": "year-2045-Q♦5♥4♣6♥10♣7♦8♥9♥"} {"id": "train-year-0321", "level": "year", "target": 1953, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 7 * (1 + 2 * 12 * 12 - 10) - 1", "solution_steps": ["12 × 12 = 144", "2 × 144 = 288", "288 − 10 = 278", "1 + 278 = 279", "7 × 279 = 1953", "1953 − 1 = 1952", "1 + 1952 = 1953"], "key": "year-1953-Q♦2♦7♠A♣A♠A♥Q♥10♦"} {"id": "train-year-0322", "level": "year", "target": 1966, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 3 * 8 * (4 * (8 + 13) - 2) - 3", "solution_steps": ["8 + 13 = 21", "4 × 21 = 84", "84 − 2 = 82", "8 × 82 = 656", "3 × 656 = 1968", "1968 − 3 = 1965", "1 + 1965 = 1966"], "key": "year-1966-K♠8♦3♦A♠4♥3♣2♥8♠"} {"id": "train-year-0323", "level": "year", "target": 2046, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "2 + 4 + (7 + 10) * (8 * (6 + 10) - 8)", "solution_steps": ["7 + 10 = 17", "6 + 10 = 16", "8 × 16 = 128", "128 − 8 = 120", "17 × 120 = 2040", "4 + 2040 = 2044", "2 + 2044 = 2046"], "key": "year-2046-8♠4♦10♦2♦10♥7♦6♥8♣"} {"id": "train-year-0324", "level": "year", "target": 2005, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 4 + 8 * 12 * (8 + 13) - 9 - 9", "solution_steps": ["8 + 13 = 21", "12 × 21 = 252", "8 × 252 = 2016", "2016 − 9 = 2007", "2007 − 9 = 1998", "4 + 1998 = 2002", "3 + 2002 = 2005"], "key": "year-2005-4♠8♦9♣Q♥8♥9♠K♦3♦"} {"id": "train-year-0325", "level": "year", "target": 1967, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 7 * (3 * 8 * (6 + 6) - 7) - 3", "solution_steps": ["6 + 6 = 12", "8 × 12 = 96", "3 × 96 = 288", "288 − 7 = 281", "7 × 281 = 1967", "1967 − 3 = 1964", "3 + 1964 = 1967"], "key": "year-1967-7♣8♣6♠6♦7♥3♥3♦3♣"} {"id": "train-year-0326", "level": "year", "target": 1901, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 4 + 4 + 3 * 7 * (12 + 6 * 13)", "solution_steps": ["6 × 13 = 78", "12 + 78 = 90", "7 × 90 = 630", "3 × 630 = 1890", "4 + 1890 = 1894", "4 + 1894 = 1898", "3 + 1898 = 1901"], "key": "year-1901-7♠6♠3♥Q♣K♥4♣4♠3♠"} {"id": "train-year-0327", "level": "year", "target": 2052, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 2 + (8 + 13) * (9 * 12 - 10) - 9", "solution_steps": ["8 + 13 = 21", "9 × 12 = 108", "108 − 10 = 98", "21 × 98 = 2058", "2058 − 9 = 2049", "2 + 2049 = 2051", "1 + 2051 = 2052"], "key": "year-2052-8♣A♥9♥2♦K♦Q♦10♣9♣"} {"id": "train-year-0328", "level": "year", "target": 1943, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "5 + 6 + (7 + 7 + 9) * (12 + 8 * 9)", "solution_steps": ["7 + 9 = 16", "7 + 16 = 23", "8 × 9 = 72", "12 + 72 = 84", "23 × 84 = 1932", "6 + 1932 = 1938", "5 + 1938 = 1943"], "key": "year-1943-6♠7♦9♣8♥7♣Q♦5♣9♠"} {"id": "train-year-0329", "level": "year", "target": 1944, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 * 7 * (11 * (6 + 7) - 4) - 3", "solution_steps": ["6 + 7 = 13", "11 × 13 = 143", "143 − 4 = 139", "7 × 139 = 973", "2 × 973 = 1946", "1946 − 3 = 1943", "1 + 1943 = 1944"], "key": "year-1944-A♦2♥7♦3♠4♠6♠7♠J♦"} {"id": "train-year-0330", "level": "year", "target": 1924, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 8 + 5 * (6 + 10) * (11 + 13) - 5", "solution_steps": ["6 + 10 = 16", "11 + 13 = 24", "16 × 24 = 384", "5 × 384 = 1920", "8 + 1920 = 1928", "1928 − 5 = 1923", "1 + 1923 = 1924"], "key": "year-1924-5♥10♥J♠5♣8♠A♣6♣K♦"} {"id": "train-year-0331", "level": "year", "target": 2083, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 4 + 7 + 5 * (5 + 13) * (11 + 12)", "solution_steps": ["5 + 13 = 18", "11 + 12 = 23", "18 × 23 = 414", "5 × 414 = 2070", "7 + 2070 = 2077", "4 + 2077 = 2081", "2 + 2081 = 2083"], "key": "year-2083-J♦5♥4♦5♠Q♥7♠2♥K♥"} {"id": "train-year-0332", "level": "year", "target": 2052, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 2 + 4 * (5 + 13 * (5 * 10 - 11))", "solution_steps": ["5 × 10 = 50", "50 − 11 = 39", "13 × 39 = 507", "5 + 507 = 512", "4 × 512 = 2048", "2 + 2048 = 2050", "2 + 2050 = 2052"], "key": "year-2052-10♦K♥5♣2♣2♥4♣5♥J♠"} {"id": "train-year-0333", "level": "year", "target": 2046, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 4 + 4 * 10 * (11 + 10 * (12 - 8))", "solution_steps": ["12 − 8 = 4", "10 × 4 = 40", "11 + 40 = 51", "10 × 51 = 510", "4 × 510 = 2040", "4 + 2040 = 2044", "2 + 2044 = 2046"], "key": "year-2046-8♣Q♣2♦10♣J♥4♠10♠4♦"} {"id": "train-year-0334", "level": "year", "target": 2084, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 11 * 13 + 4 * 6 * 9 * 9 - 5", "solution_steps": ["11 × 13 = 143", "9 × 9 = 81", "6 × 81 = 486", "4 × 486 = 1944", "143 + 1944 = 2087", "2087 − 5 = 2082", "2 + 2082 = 2084"], "key": "year-2084-2♥K♣4♥9♥5♠6♠9♠J♥"} {"id": "train-year-0335", "level": "year", "target": 1906, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 3 + 11 + 7 * 9 * 10 * (9 - 6)", "solution_steps": ["9 − 6 = 3", "10 × 3 = 30", "9 × 30 = 270", "7 × 270 = 1890", "11 + 1890 = 1901", "3 + 1901 = 1904", "2 + 1904 = 1906"], "key": "year-1906-10♠J♠9♥3♣7♥6♥9♠2♦"} {"id": "train-year-0336", "level": "year", "target": 2048, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 3 * (12 * (6 * 10 - 2) - 13) - 2", "solution_steps": ["6 × 10 = 60", "60 − 2 = 58", "12 × 58 = 696", "696 − 13 = 683", "3 × 683 = 2049", "2049 − 2 = 2047", "1 + 2047 = 2048"], "key": "year-2048-3♥K♣2♥6♣A♦Q♣10♠2♦"} {"id": "train-year-0337", "level": "year", "target": 2059, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 1 + 11 * (7 * (12 + 3 * 5) - 2)", "solution_steps": ["3 × 5 = 15", "12 + 15 = 27", "7 × 27 = 189", "189 − 2 = 187", "11 × 187 = 2057", "1 + 2057 = 2058", "1 + 2058 = 2059"], "key": "year-2059-7♣A♣3♥A♥2♦Q♠5♣J♥"} {"id": "train-year-0338", "level": "year", "target": 1995, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 2 + 8 * (13 * (4 * 7 - 8) - 11)", "solution_steps": ["4 × 7 = 28", "28 − 8 = 20", "13 × 20 = 260", "260 − 11 = 249", "8 × 249 = 1992", "2 + 1992 = 1994", "1 + 1994 = 1995"], "key": "year-1995-A♥4♥8♦J♣8♣2♥7♠K♦"} {"id": "train-year-0339", "level": "year", "target": 1964, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 5 * (6 + 8) * (3 * 12 - 8)", "solution_steps": ["6 + 8 = 14", "3 × 12 = 36", "36 − 8 = 28", "14 × 28 = 392", "5 × 392 = 1960", "3 + 1960 = 1963", "1 + 1963 = 1964"], "key": "year-1964-6♥5♦Q♠8♣A♠8♠3♣3♠"} {"id": "train-year-0340", "level": "year", "target": 1935, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 12 * (12 + 10 * (6 + 9)) - 11", "solution_steps": ["6 + 9 = 15", "10 × 15 = 150", "12 + 150 = 162", "12 × 162 = 1944", "1944 − 11 = 1933", "1 + 1933 = 1934", "1 + 1934 = 1935"], "key": "year-1935-A♥Q♦9♠J♦6♦10♣Q♠A♠"} {"id": "train-year-0341", "level": "year", "target": 1994, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 5 + 6 + 11 * (5 + 7) * (6 + 9)", "solution_steps": ["5 + 7 = 12", "6 + 9 = 15", "12 × 15 = 180", "11 × 180 = 1980", "6 + 1980 = 1986", "5 + 1986 = 1991", "3 + 1991 = 1994"], "key": "year-1994-J♥6♣3♣5♠6♠5♥9♠7♦"} {"id": "train-year-0342", "level": "year", "target": 2076, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "6 + 6 + 12 * (9 + 10 + 9 * (7 + 10))", "solution_steps": ["7 + 10 = 17", "9 × 17 = 153", "10 + 153 = 163", "9 + 163 = 172", "12 × 172 = 2064", "6 + 2064 = 2070", "6 + 2070 = 2076"], "key": "year-2076-7♦Q♠6♥6♦9♦10♦10♣9♣"} {"id": "train-year-0343", "level": "year", "target": 1978, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "4 + (8 + 13) * (9 * 13 - 9 - 9 - 5)", "solution_steps": ["8 + 13 = 21", "9 × 13 = 117", "117 − 9 = 108", "108 − 9 = 99", "99 − 5 = 94", "21 × 94 = 1974", "4 + 1974 = 1978"], "key": "year-1978-5♦9♠K♠9♣4♦K♦8♠9♥"} {"id": "train-year-0344", "level": "year", "target": 2090, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 3 + 3 * (9 - 4) * (11 * 13 - 4)", "solution_steps": ["9 − 4 = 5", "11 × 13 = 143", "143 − 4 = 139", "5 × 139 = 695", "3 × 695 = 2085", "3 + 2085 = 2088", "2 + 2088 = 2090"], "key": "year-2090-4♦K♣2♣4♥J♥9♦3♣3♥"} {"id": "train-year-0345", "level": "year", "target": 2025, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 13 * (6 + 3 * 5 * 10) - 3 - 1", "solution_steps": ["5 × 10 = 50", "3 × 50 = 150", "6 + 150 = 156", "13 × 156 = 2028", "2028 − 3 = 2025", "2025 − 1 = 2024", "1 + 2024 = 2025"], "key": "year-2025-3♣A♠5♠10♣A♦6♦3♥K♥"} {"id": "train-year-0346", "level": "year", "target": 1998, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 2 * (9 + 3 * 5 * 6 * 11) - 2", "solution_steps": ["6 × 11 = 66", "5 × 66 = 330", "3 × 330 = 990", "9 + 990 = 999", "2 × 999 = 1998", "1998 − 2 = 1996", "2 + 1996 = 1998"], "key": "year-1998-2♥9♠2♠3♥2♦5♣J♠6♣"} {"id": "train-year-0347", "level": "year", "target": 2008, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 1 + 4 + (11 + 11) * (10 * 10 - 9)", "solution_steps": ["11 + 11 = 22", "10 × 10 = 100", "100 − 9 = 91", "22 × 91 = 2002", "4 + 2002 = 2006", "1 + 2006 = 2007", "1 + 2007 = 2008"], "key": "year-2008-4♥10♣A♠9♥A♣10♠J♥J♠"} {"id": "train-year-0348", "level": "year", "target": 2012, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 * 2 * (6 + 5 * 5 * 5 * (9 - 1))", "solution_steps": ["9 − 1 = 8", "5 × 8 = 40", "5 × 40 = 200", "5 × 200 = 1000", "6 + 1000 = 1006", "2 × 1006 = 2012", "1 × 2012 = 2012"], "key": "year-2012-5♥6♣A♣5♦5♠9♥A♥2♦"} {"id": "train-year-0349", "level": "year", "target": 2017, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 8 + (7 + 12) * (10 * 11 - 4) - 7", "solution_steps": ["7 + 12 = 19", "10 × 11 = 110", "110 − 4 = 106", "19 × 106 = 2014", "8 + 2014 = 2022", "2022 − 7 = 2015", "2 + 2015 = 2017"], "key": "year-2017-Q♠7♦7♠2♣8♦J♠10♥4♦"} {"id": "train-year-0350", "level": "year", "target": 2028, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 7 + 10 * (7 * 7 + 9 * (6 + 11))", "solution_steps": ["7 × 7 = 49", "6 + 11 = 17", "9 × 17 = 153", "49 + 153 = 202", "10 × 202 = 2020", "7 + 2020 = 2027", "1 + 2027 = 2028"], "key": "year-2028-7♥7♠9♥10♥J♦7♦A♥6♠"} {"id": "train-year-0351", "level": "year", "target": 1900, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 13 * (12 + 12 * 12 - 9) - 7 - 6", "solution_steps": ["12 × 12 = 144", "12 + 144 = 156", "156 − 9 = 147", "13 × 147 = 1911", "1911 − 7 = 1904", "1904 − 6 = 1898", "2 + 1898 = 1900"], "key": "year-1900-7♦Q♥Q♣Q♦6♣9♠K♦2♣"} {"id": "train-year-0352", "level": "year", "target": 2027, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 1 + (12 + 13) * (7 + 8 * 10 - 6)", "solution_steps": ["12 + 13 = 25", "8 × 10 = 80", "7 + 80 = 87", "87 − 6 = 81", "25 × 81 = 2025", "1 + 2025 = 2026", "1 + 2026 = 2027"], "key": "year-2027-6♠K♣10♠A♠7♥8♦A♦Q♠"} {"id": "train-year-0353", "level": "year", "target": 1990, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 5 + 2 * 8 * (5 + 10 * 13 - 11)", "solution_steps": ["10 × 13 = 130", "130 − 11 = 119", "5 + 119 = 124", "8 × 124 = 992", "2 × 992 = 1984", "5 + 1984 = 1989", "1 + 1989 = 1990"], "key": "year-1990-5♥2♣8♠K♠10♠A♥5♣J♠"} {"id": "train-year-0354", "level": "year", "target": 2015, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 + 5 + 5 + 11 * (12 * (7 + 9) - 10)", "solution_steps": ["7 + 9 = 16", "12 × 16 = 192", "192 − 10 = 182", "11 × 182 = 2002", "5 + 2002 = 2007", "5 + 2007 = 2012", "3 + 2012 = 2015"], "key": "year-2015-3♥Q♦5♠9♥7♠10♥5♣J♣"} {"id": "train-year-0355", "level": "year", "target": 1922, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "4 + 5 + 8 * 10 * 12 * (10 - 8) - 7", "solution_steps": ["10 − 8 = 2", "12 × 2 = 24", "10 × 24 = 240", "8 × 240 = 1920", "1920 − 7 = 1913", "5 + 1913 = 1918", "4 + 1918 = 1922"], "key": "year-1922-7♣4♣10♠5♦8♥Q♠10♣8♦"} {"id": "train-year-0356", "level": "year", "target": 2067, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "3 + 3 + 9 * (5 + 4 * (8 + 6 * 8))", "solution_steps": ["6 × 8 = 48", "8 + 48 = 56", "4 × 56 = 224", "5 + 224 = 229", "9 × 229 = 2061", "3 + 2061 = 2064", "3 + 2064 = 2067"], "key": "year-2067-3♣8♣8♥6♠4♠9♣3♦5♥"} {"id": "train-year-0357", "level": "year", "target": 2041, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 2 * (6 + 13 * (11 + 8 * 10 - 13))", "solution_steps": ["8 × 10 = 80", "80 − 13 = 67", "11 + 67 = 78", "13 × 78 = 1014", "6 + 1014 = 1020", "2 × 1020 = 2040", "1 + 2040 = 2041"], "key": "year-2041-A♣K♥J♣10♠2♣K♠8♠6♦"} {"id": "train-year-0358", "level": "year", "target": 2087, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "4 + 4 + 7 * 9 * (7 + 13 * (12 - 10))", "solution_steps": ["12 − 10 = 2", "13 × 2 = 26", "7 + 26 = 33", "9 × 33 = 297", "7 × 297 = 2079", "4 + 2079 = 2083", "4 + 2083 = 2087"], "key": "year-2087-10♠K♠4♥4♣7♣Q♦7♦9♥"} {"id": "train-year-0359", "level": "year", "target": 1943, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 4 + 8 * 9 * (5 * 7 - 8) - 6", "solution_steps": ["5 × 7 = 35", "35 − 8 = 27", "9 × 27 = 243", "8 × 243 = 1944", "1944 − 6 = 1938", "4 + 1938 = 1942", "1 + 1942 = 1943"], "key": "year-1943-A♠4♣8♦8♠9♦6♦7♦5♥"} {"id": "train-year-0360", "level": "year", "target": 2094, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + (4 + 11) * (11 * 13 - 3) - 9", "solution_steps": ["4 + 11 = 15", "11 × 13 = 143", "143 − 3 = 140", "15 × 140 = 2100", "2100 − 9 = 2091", "2 + 2091 = 2093", "1 + 2093 = 2094"], "key": "year-2094-K♥J♣3♣2♣9♠A♣J♠4♠"} {"id": "train-year-0361", "level": "year", "target": 2058, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 7 * 7 * (3 + 3 * 13) - 2 / 2", "solution_steps": ["3 × 13 = 39", "3 + 39 = 42", "7 × 42 = 294", "7 × 294 = 2058", "2 ÷ 2 = 1", "2058 − 1 = 2057", "1 + 2057 = 2058"], "key": "year-2058-2♠7♣K♣7♥A♣3♣3♠2♣"} {"id": "train-year-0362", "level": "year", "target": 1928, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 + 7 * ((3 + 12) * (6 + 13) - 10)", "solution_steps": ["3 + 12 = 15", "6 + 13 = 19", "15 × 19 = 285", "285 − 10 = 275", "7 × 275 = 1925", "2 + 1925 = 1927", "1 + 1927 = 1928"], "key": "year-1928-3♠2♠6♠7♣10♦Q♥K♣A♥"} {"id": "train-year-0363", "level": "year", "target": 2012, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 3 + 6 * (4 + 10) * (11 + 13) - 9", "solution_steps": ["4 + 10 = 14", "11 + 13 = 24", "14 × 24 = 336", "6 × 336 = 2016", "2016 − 9 = 2007", "3 + 2007 = 2010", "2 + 2010 = 2012"], "key": "year-2012-2♥J♥10♣4♥9♠6♠K♠3♣"} {"id": "train-year-0364", "level": "year", "target": 1953, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + (4 + 13) * (8 + 9 * 13 - 10) - 3", "solution_steps": ["4 + 13 = 17", "9 × 13 = 117", "117 − 10 = 107", "8 + 107 = 115", "17 × 115 = 1955", "1955 − 3 = 1952", "1 + 1952 = 1953"], "key": "year-1953-3♦9♣K♣4♥8♠A♦10♥K♠"} {"id": "train-year-0365", "level": "year", "target": 2050, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 2 + 10 * (2 * 9 * 12 - 10) - 13", "solution_steps": ["9 × 12 = 108", "2 × 108 = 216", "216 − 10 = 206", "10 × 206 = 2060", "2060 − 13 = 2047", "2 + 2047 = 2049", "1 + 2049 = 2050"], "key": "year-2050-A♦2♦9♠K♣Q♦2♠10♦10♣"} {"id": "train-year-0366", "level": "year", "target": 1929, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 2 + (3 + 3 * 5) * (11 + 8 * 12)", "solution_steps": ["3 × 5 = 15", "3 + 15 = 18", "8 × 12 = 96", "11 + 96 = 107", "18 × 107 = 1926", "2 + 1926 = 1928", "1 + 1928 = 1929"], "key": "year-1929-Q♥3♦3♠2♥J♦8♣5♥A♦"} {"id": "train-year-0367", "level": "year", "target": 1903, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 2 + 10 * (13 * (8 + 8) - 11 - 7)", "solution_steps": ["8 + 8 = 16", "13 × 16 = 208", "208 − 11 = 197", "197 − 7 = 190", "10 × 190 = 1900", "2 + 1900 = 1902", "1 + 1902 = 1903"], "key": "year-1903-K♣2♥8♦8♣10♠J♦7♦A♠"} {"id": "train-year-0368", "level": "year", "target": 2053, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 3 + 13 * (8 + 12 * 13 - 6) - 5", "solution_steps": ["12 × 13 = 156", "8 + 156 = 164", "164 − 6 = 158", "13 × 158 = 2054", "2054 − 5 = 2049", "3 + 2049 = 2052", "1 + 2052 = 2053"], "key": "year-2053-K♦Q♠8♣A♥3♦K♠6♥5♦"} {"id": "train-year-0369", "level": "year", "target": 2000, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "3 + 4 + 11 * (11 + 9 * (7 + 12)) - 9", "solution_steps": ["7 + 12 = 19", "9 × 19 = 171", "11 + 171 = 182", "11 × 182 = 2002", "2002 − 9 = 1993", "4 + 1993 = 1997", "3 + 1997 = 2000"], "key": "year-2000-7♦J♦9♥3♥J♠Q♥4♣9♦"} {"id": "train-year-0370", "level": "year", "target": 1936, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 + (7 + 12) * (4 + 7 * (6 + 8)) - 4", "solution_steps": ["7 + 12 = 19", "6 + 8 = 14", "7 × 14 = 98", "4 + 98 = 102", "19 × 102 = 1938", "1938 − 4 = 1934", "2 + 1934 = 1936"], "key": "year-1936-7♥Q♠4♣2♣8♥7♠6♣4♠"} {"id": "train-year-0371", "level": "year", "target": 2062, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "4 + 8 + 10 * (10 + 9 * (10 + 13) - 12)", "solution_steps": ["10 + 13 = 23", "9 × 23 = 207", "207 − 12 = 195", "10 + 195 = 205", "10 × 205 = 2050", "8 + 2050 = 2058", "4 + 2058 = 2062"], "key": "year-2062-10♦Q♣K♠10♣8♦9♥4♥10♥"} {"id": "train-year-0372", "level": "year", "target": 1910, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "3 + 4 + 5 + 13 * (7 + 7 + 11 * 12)", "solution_steps": ["11 × 12 = 132", "7 + 132 = 139", "7 + 139 = 146", "13 × 146 = 1898", "5 + 1898 = 1903", "4 + 1903 = 1907", "3 + 1907 = 1910"], "key": "year-1910-J♥7♥4♠3♥7♣Q♠5♦K♥"} {"id": "train-year-0373", "level": "year", "target": 1950, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 5 + 9 + 9 * 12 * (6 + 12) - 10", "solution_steps": ["6 + 12 = 18", "12 × 18 = 216", "9 × 216 = 1944", "1944 − 10 = 1934", "9 + 1934 = 1943", "5 + 1943 = 1948", "2 + 1948 = 1950"], "key": "year-1950-6♣9♥10♣Q♣9♠Q♦5♥2♥"} {"id": "train-year-0374", "level": "year", "target": 2093, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 2 * 5 * 10 * (5 + 4 * 4) - 9", "solution_steps": ["4 × 4 = 16", "5 + 16 = 21", "10 × 21 = 210", "5 × 210 = 1050", "2 × 1050 = 2100", "2100 − 9 = 2091", "2 + 2091 = 2093"], "key": "year-2093-2♦5♠2♥5♣4♥9♥10♦4♣"} {"id": "train-year-0375", "level": "year", "target": 2097, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 4 * 5 * 7 * (4 + 11) - 3 - 2", "solution_steps": ["4 + 11 = 15", "7 × 15 = 105", "5 × 105 = 525", "4 × 525 = 2100", "2100 − 3 = 2097", "2097 − 2 = 2095", "2 + 2095 = 2097"], "key": "year-2097-2♠3♥J♦2♣5♥4♣4♠7♦"} {"id": "train-year-0376", "level": "year", "target": 2090, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + (4 + 13) * (6 + 10 * 12 - 3) - 2", "solution_steps": ["4 + 13 = 17", "10 × 12 = 120", "6 + 120 = 126", "126 − 3 = 123", "17 × 123 = 2091", "2091 − 2 = 2089", "1 + 2089 = 2090"], "key": "year-2090-3♦Q♥6♣K♠2♠4♣A♠10♥"} {"id": "train-year-0377", "level": "year", "target": 1947, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 5 * (12 * (3 + 3 * 10) - 6) - 4", "solution_steps": ["3 × 10 = 30", "3 + 30 = 33", "12 × 33 = 396", "396 − 6 = 390", "5 × 390 = 1950", "1950 − 4 = 1946", "1 + 1946 = 1947"], "key": "year-1947-5♠3♣A♦4♠3♥6♥10♣Q♠"} {"id": "train-year-0378", "level": "year", "target": 1934, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 + 4 + 9 * (5 + 11 * (10 + 10) - 11)", "solution_steps": ["10 + 10 = 20", "11 × 20 = 220", "220 − 11 = 209", "5 + 209 = 214", "9 × 214 = 1926", "4 + 1926 = 1930", "4 + 1930 = 1934"], "key": "year-1934-9♣10♦5♥J♠4♥J♣10♥4♣"} {"id": "train-year-0379", "level": "year", "target": 2088, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 + 6 + 9 * (9 * 11 + 11 * 13 - 11)", "solution_steps": ["9 × 11 = 99", "11 × 13 = 143", "99 + 143 = 242", "242 − 11 = 231", "9 × 231 = 2079", "6 + 2079 = 2085", "3 + 2085 = 2088"], "key": "year-2088-J♠3♣6♦K♦J♥9♠9♦J♦"} {"id": "train-year-0380", "level": "year", "target": 2035, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 3 + (4 * 12 - 13) * (6 * 11 - 8)", "solution_steps": ["4 × 12 = 48", "48 − 13 = 35", "6 × 11 = 66", "66 − 8 = 58", "35 × 58 = 2030", "3 + 2030 = 2033", "2 + 2033 = 2035"], "key": "year-2035-K♦Q♠4♥6♠2♥J♣3♠8♥"} {"id": "train-year-0381", "level": "year", "target": 2043, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "3 + (5 * 7 - 7) * (9 + 8 * 8) - 4", "solution_steps": ["5 × 7 = 35", "35 − 7 = 28", "8 × 8 = 64", "9 + 64 = 73", "28 × 73 = 2044", "2044 − 4 = 2040", "3 + 2040 = 2043"], "key": "year-2043-5♥8♦3♠8♣7♣9♥7♥4♦"} {"id": "train-year-0382", "level": "year", "target": 1907, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 1 + (2 + 13) * (7 + 10 * (6 + 6))", "solution_steps": ["2 + 13 = 15", "6 + 6 = 12", "10 × 12 = 120", "7 + 120 = 127", "15 × 127 = 1905", "1 + 1905 = 1906", "1 + 1906 = 1907"], "key": "year-1907-A♦K♥6♣10♣2♦A♥6♦7♠"} {"id": "train-year-0383", "level": "year", "target": 2064, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 10 * 13 * (4 + 12) - 9 - 6 - 3", "solution_steps": ["4 + 12 = 16", "13 × 16 = 208", "10 × 208 = 2080", "2080 − 9 = 2071", "2071 − 6 = 2065", "2065 − 3 = 2062", "2 + 2062 = 2064"], "key": "year-2064-3♠4♠6♣10♦Q♠9♥K♦2♣"} {"id": "train-year-0384", "level": "year", "target": 1910, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 1 + 3 * 6 * (1 + 7 * (2 + 13))", "solution_steps": ["2 + 13 = 15", "7 × 15 = 105", "1 + 105 = 106", "6 × 106 = 636", "3 × 636 = 1908", "1 + 1908 = 1909", "1 + 1909 = 1910"], "key": "year-1910-2♠7♣A♥A♦6♦A♠K♠3♣"} {"id": "train-year-0385", "level": "year", "target": 1917, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "3 + 4 + 10 + (9 + 11) * (9 * 12 - 13)", "solution_steps": ["9 + 11 = 20", "9 × 12 = 108", "108 − 13 = 95", "20 × 95 = 1900", "10 + 1900 = 1910", "4 + 1910 = 1914", "3 + 1914 = 1917"], "key": "year-1917-9♠Q♦K♣9♦3♦4♠10♦J♠"} {"id": "train-year-0386", "level": "year", "target": 1949, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 12 + 10 * (5 + 9 * (10 + 11)) - 5", "solution_steps": ["10 + 11 = 21", "9 × 21 = 189", "5 + 189 = 194", "10 × 194 = 1940", "12 + 1940 = 1952", "1952 − 5 = 1947", "2 + 1947 = 1949"], "key": "year-1949-J♥5♦10♠9♥5♠10♣2♣Q♠"} {"id": "train-year-0387", "level": "year", "target": 1965, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + (6 + 9) * (8 * (7 + 11) - 13) - 2", "solution_steps": ["6 + 9 = 15", "7 + 11 = 18", "8 × 18 = 144", "144 − 13 = 131", "15 × 131 = 1965", "1965 − 2 = 1963", "2 + 1963 = 1965"], "key": "year-1965-2♠8♣9♠6♥2♦K♦7♠J♣"} {"id": "train-year-0388", "level": "year", "target": 2080, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 6 + 13 * (5 + 11 + 12 * 12) - 7", "solution_steps": ["12 × 12 = 144", "11 + 144 = 155", "5 + 155 = 160", "13 × 160 = 2080", "2080 − 7 = 2073", "6 + 2073 = 2079", "1 + 2079 = 2080"], "key": "year-2080-Q♠A♥J♦K♦5♣Q♦7♣6♠"} {"id": "train-year-0389", "level": "year", "target": 1959, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 4 + 13 * (11 + 10 * (6 + 8)) - 9", "solution_steps": ["6 + 8 = 14", "10 × 14 = 140", "11 + 140 = 151", "13 × 151 = 1963", "1963 − 9 = 1954", "4 + 1954 = 1958", "1 + 1958 = 1959"], "key": "year-1959-6♦9♣A♠8♣10♥J♦K♦4♥"} {"id": "train-year-0390", "level": "year", "target": 2072, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 3 * (5 * 12 + 7 * 9 * 10)", "solution_steps": ["5 × 12 = 60", "9 × 10 = 90", "7 × 90 = 630", "60 + 630 = 690", "3 × 690 = 2070", "1 + 2070 = 2071", "1 + 2071 = 2072"], "key": "year-2072-Q♣9♥A♥3♦10♣7♥5♣A♠"} {"id": "train-year-0391", "level": "year", "target": 1956, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 + 12 * (10 * (4 + 13) - 7) - 4", "solution_steps": ["4 + 13 = 17", "10 × 17 = 170", "170 − 7 = 163", "12 × 163 = 1956", "1956 − 4 = 1952", "3 + 1952 = 1955", "1 + 1955 = 1956"], "key": "year-1956-A♣4♣Q♦K♥4♠7♠10♠3♣"} {"id": "train-year-0392", "level": "year", "target": 1930, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "4 + 6 + 8 * (10 * (12 + 13) - 5 - 5)", "solution_steps": ["12 + 13 = 25", "10 × 25 = 250", "250 − 5 = 245", "245 − 5 = 240", "8 × 240 = 1920", "6 + 1920 = 1926", "4 + 1926 = 1930"], "key": "year-1930-8♠5♣10♣5♠4♣6♥Q♦K♦"} {"id": "train-year-0393", "level": "year", "target": 2036, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "3 + 6 + 11 + (8 + 10) * (8 + 8 * 13)", "solution_steps": ["8 + 10 = 18", "8 × 13 = 104", "8 + 104 = 112", "18 × 112 = 2016", "11 + 2016 = 2027", "6 + 2027 = 2033", "3 + 2033 = 2036"], "key": "year-2036-J♠8♥3♥K♦6♠10♦8♠8♣"} {"id": "train-year-0394", "level": "year", "target": 2000, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "2 + 2 + 7 * 11 * (5 + 8 + 13) - 6", "solution_steps": ["8 + 13 = 21", "5 + 21 = 26", "11 × 26 = 286", "7 × 286 = 2002", "2002 − 6 = 1996", "2 + 1996 = 1998", "2 + 1998 = 2000"], "key": "year-2000-J♦6♥K♣2♦7♥5♥2♣8♣"} {"id": "train-year-0395", "level": "year", "target": 1949, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 * (5 * 5 * 12 * 13 - 4) / 2", "solution_steps": ["12 × 13 = 156", "5 × 156 = 780", "5 × 780 = 3900", "3900 − 4 = 3896", "3896 ÷ 2 = 1948", "1 × 1948 = 1948", "1 + 1948 = 1949"], "key": "year-1949-Q♦A♠K♠4♦5♠5♥2♥A♥"} {"id": "train-year-0396", "level": "year", "target": 2066, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 * (4 + 10) * (2 + 6 * 12) - 5 - 1", "solution_steps": ["4 + 10 = 14", "6 × 12 = 72", "2 + 72 = 74", "14 × 74 = 1036", "2 × 1036 = 2072", "2072 − 5 = 2067", "2067 − 1 = 2066"], "key": "year-2066-A♠6♦2♠Q♦10♥2♣5♠4♠"} {"id": "train-year-0397", "level": "year", "target": 1906, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 6 * (10 + 11 * (6 + 10 + 12)) - 3", "solution_steps": ["10 + 12 = 22", "6 + 22 = 28", "11 × 28 = 308", "10 + 308 = 318", "6 × 318 = 1908", "1908 − 3 = 1905", "1 + 1905 = 1906"], "key": "year-1906-3♠A♥J♥10♣10♥6♠6♣Q♣"} {"id": "train-year-0398", "level": "year", "target": 2035, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 3 + 6 + 7 * (7 + 10) * (8 + 9)", "solution_steps": ["7 + 10 = 17", "8 + 9 = 17", "17 × 17 = 289", "7 × 289 = 2023", "6 + 2023 = 2029", "3 + 2029 = 2032", "3 + 2032 = 2035"], "key": "year-2035-6♠9♥3♠10♠7♥8♠7♣3♥"} {"id": "train-year-0399", "level": "year", "target": 1909, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 2 * 6 * 12 * (8 + 5 * 9) / 4", "solution_steps": ["5 × 9 = 45", "8 + 45 = 53", "12 × 53 = 636", "6 × 636 = 3816", "3816 ÷ 4 = 954", "2 × 954 = 1908", "1 + 1908 = 1909"], "key": "year-1909-Q♠2♥A♣8♦9♥5♥4♠6♦"} {"id": "train-year-0400", "level": "year", "target": 1983, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 4 + 4 + 7 * (3 * 8 * 12 - 6)", "solution_steps": ["8 × 12 = 96", "3 × 96 = 288", "288 − 6 = 282", "7 × 282 = 1974", "4 + 1974 = 1978", "4 + 1978 = 1982", "1 + 1982 = 1983"], "key": "year-1983-7♦3♦4♥4♣8♠6♣A♦Q♠"} {"id": "train-year-0401", "level": "year", "target": 1935, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 6 + 9 * (12 + 10 * (10 + 11) - 8)", "solution_steps": ["10 + 11 = 21", "10 × 21 = 210", "12 + 210 = 222", "222 − 8 = 214", "9 × 214 = 1926", "6 + 1926 = 1932", "3 + 1932 = 1935"], "key": "year-1935-10♦9♦Q♣J♦8♣10♥3♠6♥"} {"id": "train-year-0402", "level": "year", "target": 2100, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 4 + 13 * (7 * 8 * (8 - 5) - 7)", "solution_steps": ["8 − 5 = 3", "8 × 3 = 24", "7 × 24 = 168", "168 − 7 = 161", "13 × 161 = 2093", "4 + 2093 = 2097", "3 + 2097 = 2100"], "key": "year-2100-7♦4♥7♥5♦K♣3♦8♦8♥"} {"id": "train-year-0403", "level": "year", "target": 2058, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + 4 + 9 * 10 * (10 + 13) - 11 - 7", "solution_steps": ["10 + 13 = 23", "10 × 23 = 230", "9 × 230 = 2070", "2070 − 11 = 2059", "2059 − 7 = 2052", "4 + 2052 = 2056", "2 + 2056 = 2058"], "key": "year-2058-K♦10♦7♦2♥J♣10♥4♦9♠"} {"id": "train-year-0404", "level": "year", "target": 2012, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 + 6 + 7 * 12 * (7 + 7 + 10) - 13", "solution_steps": ["7 + 10 = 17", "7 + 17 = 24", "12 × 24 = 288", "7 × 288 = 2016", "2016 − 13 = 2003", "6 + 2003 = 2009", "3 + 2009 = 2012"], "key": "year-2012-Q♠3♥7♣7♠6♣K♥10♦7♥"} {"id": "train-year-0405", "level": "year", "target": 1997, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 4 + 12 * (2 + 4 + 8 * (8 + 12))", "solution_steps": ["8 + 12 = 20", "8 × 20 = 160", "4 + 160 = 164", "2 + 164 = 166", "12 × 166 = 1992", "4 + 1992 = 1996", "1 + 1996 = 1997"], "key": "year-1997-4♦8♦Q♠2♥4♣8♠A♦Q♣"} {"id": "train-year-0406", "level": "year", "target": 2003, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 5 + 2 * 8 + 9 * 10 * (11 + 11)", "solution_steps": ["2 × 8 = 16", "11 + 11 = 22", "10 × 22 = 220", "9 × 220 = 1980", "16 + 1980 = 1996", "5 + 1996 = 2001", "2 + 2001 = 2003"], "key": "year-2003-10♠9♣J♣2♠5♦2♦J♦8♦"} {"id": "train-year-0407", "level": "year", "target": 2008, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "4 + 12 * (4 + 13 * 13) - 5 * 13 - 7", "solution_steps": ["13 × 13 = 169", "4 + 169 = 173", "12 × 173 = 2076", "5 × 13 = 65", "2076 − 65 = 2011", "2011 − 7 = 2004", "4 + 2004 = 2008"], "key": "year-2008-K♠7♥5♦4♠Q♣4♥K♣K♦"} {"id": "train-year-0408", "level": "year", "target": 1989, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 2 + 9 + 8 * (6 + 7) * (8 + 11)", "solution_steps": ["6 + 7 = 13", "8 + 11 = 19", "13 × 19 = 247", "8 × 247 = 1976", "9 + 1976 = 1985", "2 + 1985 = 1987", "2 + 1987 = 1989"], "key": "year-1989-2♥2♣8♣7♥8♠9♣J♠6♠"} {"id": "train-year-0409", "level": "year", "target": 2080, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 12 * 12 * 13 * (3 + 7) / 9 - 1", "solution_steps": ["3 + 7 = 10", "13 × 10 = 130", "12 × 130 = 1560", "12 × 1560 = 18720", "18720 ÷ 9 = 2080", "2080 − 1 = 2079", "1 + 2079 = 2080"], "key": "year-2080-A♠A♣Q♠3♥7♦K♣9♥Q♦"} {"id": "train-year-0410", "level": "year", "target": 2081, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + 3 * 7 * 11 * (4 + 4 + 10) / 2", "solution_steps": ["4 + 10 = 14", "4 + 14 = 18", "11 × 18 = 198", "7 × 198 = 1386", "3 × 1386 = 4158", "4158 ÷ 2 = 2079", "2 + 2079 = 2081"], "key": "year-2081-2♣J♠3♦4♠10♠2♠4♥7♣"} {"id": "train-year-0411", "level": "year", "target": 1941, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 3 + 4 * (12 + 8 * (5 * 13 - 6))", "solution_steps": ["5 × 13 = 65", "65 − 6 = 59", "8 × 59 = 472", "12 + 472 = 484", "4 × 484 = 1936", "3 + 1936 = 1939", "2 + 1939 = 1941"], "key": "year-1941-K♥6♣8♣Q♣4♥3♥2♠5♥"} {"id": "train-year-0412", "level": "year", "target": 1983, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + (8 + 8) * (7 + 9 * 13) - 3", "solution_steps": ["8 + 8 = 16", "9 × 13 = 117", "7 + 117 = 124", "16 × 124 = 1984", "1984 − 3 = 1981", "1 + 1981 = 1982", "1 + 1982 = 1983"], "key": "year-1983-3♥A♣8♠K♥9♥7♠8♣A♠"} {"id": "train-year-0413", "level": "year", "target": 2047, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 3 + 9 * (11 + 6 * (12 + 4 * 6))", "solution_steps": ["4 × 6 = 24", "12 + 24 = 36", "6 × 36 = 216", "11 + 216 = 227", "9 × 227 = 2043", "3 + 2043 = 2046", "1 + 2046 = 2047"], "key": "year-2047-9♠6♦Q♠4♠J♥6♥3♥A♥"} {"id": "train-year-0414", "level": "year", "target": 2097, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + (9 + 11) * (8 * (5 + 9) - 7) - 4", "solution_steps": ["9 + 11 = 20", "5 + 9 = 14", "8 × 14 = 112", "112 − 7 = 105", "20 × 105 = 2100", "2100 − 4 = 2096", "1 + 2096 = 2097"], "key": "year-2097-A♥7♣5♥J♣9♠8♥9♦4♥"} {"id": "train-year-0415", "level": "year", "target": 1972, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 4 + 11 + (4 + 13) * (7 + 9 * 12)", "solution_steps": ["4 + 13 = 17", "9 × 12 = 108", "7 + 108 = 115", "17 × 115 = 1955", "11 + 1955 = 1966", "4 + 1966 = 1970", "2 + 1970 = 1972"], "key": "year-1972-K♦J♦4♥7♣2♥4♦9♠Q♠"} {"id": "train-year-0416", "level": "year", "target": 2031, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 3 + 8 * (10 * 11 + 11 * 13)", "solution_steps": ["10 × 11 = 110", "11 × 13 = 143", "110 + 143 = 253", "8 × 253 = 2024", "3 + 2024 = 2027", "2 + 2027 = 2029", "2 + 2029 = 2031"], "key": "year-2031-K♥3♦J♥J♠10♦8♠2♠2♣"} {"id": "train-year-0417", "level": "year", "target": 2076, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 7 + 3 * (9 * (8 + 7 * 10) - 13)", "solution_steps": ["7 × 10 = 70", "8 + 70 = 78", "9 × 78 = 702", "702 − 13 = 689", "3 × 689 = 2067", "7 + 2067 = 2074", "2 + 2074 = 2076"], "key": "year-2076-3♣2♣10♦7♦7♠K♠8♠9♦"} {"id": "train-year-0418", "level": "year", "target": 2017, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 2 + 10 + 3 * 4 * (11 + 12 * 13)", "solution_steps": ["12 × 13 = 156", "11 + 156 = 167", "4 × 167 = 668", "3 × 668 = 2004", "10 + 2004 = 2014", "2 + 2014 = 2016", "1 + 2016 = 2017"], "key": "year-2017-2♦4♥J♠Q♥10♦K♥3♦A♠"} {"id": "train-year-0419", "level": "year", "target": 1931, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 2 + (7 + 7) * (11 * 13 - 5) - 4", "solution_steps": ["7 + 7 = 14", "11 × 13 = 143", "143 − 5 = 138", "14 × 138 = 1932", "1932 − 4 = 1928", "2 + 1928 = 1930", "1 + 1930 = 1931"], "key": "year-1931-7♣K♦A♠5♥J♣2♥4♦7♥"} {"id": "train-year-0420", "level": "year", "target": 1907, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 10 * (12 + 3 * 6 * 10) - 13 - 1", "solution_steps": ["6 × 10 = 60", "3 × 60 = 180", "12 + 180 = 192", "10 × 192 = 1920", "1920 − 13 = 1907", "1907 − 1 = 1906", "1 + 1906 = 1907"], "key": "year-1907-K♥10♣3♣Q♥A♦6♠10♠A♠"} {"id": "train-year-0421", "level": "year", "target": 2061, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 12 * (8 * (9 + 13) - 4) - 7", "solution_steps": ["9 + 13 = 22", "8 × 22 = 176", "176 − 4 = 172", "12 × 172 = 2064", "2064 − 7 = 2057", "2 + 2057 = 2059", "2 + 2059 = 2061"], "key": "year-2061-2♦Q♣8♦K♥7♣4♥9♠2♣"} {"id": "train-year-0422", "level": "year", "target": 2047, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 7 * (8 * (6 + 8 * 13) - 4) / 3", "solution_steps": ["8 × 13 = 104", "6 + 104 = 110", "8 × 110 = 880", "880 − 4 = 876", "7 × 876 = 6132", "6132 ÷ 3 = 2044", "3 + 2044 = 2047"], "key": "year-2047-8♣8♦6♠7♣K♥3♥4♣3♠"} {"id": "train-year-0423", "level": "year", "target": 1989, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 * ((3 + 6) * (7 + 8 * 13) - 5)", "solution_steps": ["3 + 6 = 9", "8 × 13 = 104", "7 + 104 = 111", "9 × 111 = 999", "999 − 5 = 994", "2 × 994 = 1988", "1 + 1988 = 1989"], "key": "year-1989-7♥5♦8♥6♠2♦3♥A♦K♠"} {"id": "train-year-0424", "level": "year", "target": 1936, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 3 + 11 * (7 * 8 + 10 * 12) - 4", "solution_steps": ["7 × 8 = 56", "10 × 12 = 120", "56 + 120 = 176", "11 × 176 = 1936", "1936 − 4 = 1932", "3 + 1932 = 1935", "1 + 1935 = 1936"], "key": "year-1936-J♠3♥Q♠4♥7♥A♦8♣10♦"} {"id": "train-year-0425", "level": "year", "target": 1998, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 3 + 8 + 8 * (4 * 7 * 9 - 4)", "solution_steps": ["7 × 9 = 63", "4 × 63 = 252", "252 − 4 = 248", "8 × 248 = 1984", "8 + 1984 = 1992", "3 + 1992 = 1995", "3 + 1995 = 1998"], "key": "year-1998-4♦3♠9♥8♥7♦8♠4♠3♦"} {"id": "train-year-0426", "level": "year", "target": 2023, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 + 5 * (6 * (3 + 5 * 13) - 3) - 4", "solution_steps": ["5 × 13 = 65", "3 + 65 = 68", "6 × 68 = 408", "408 − 3 = 405", "5 × 405 = 2025", "2025 − 4 = 2021", "2 + 2021 = 2023"], "key": "year-2023-5♣3♦3♣5♦6♦K♦2♠4♠"} {"id": "train-year-0427", "level": "year", "target": 2074, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "3 + 5 * (11 + 9 * 9 * (11 - 6)) - 9", "solution_steps": ["11 − 6 = 5", "9 × 5 = 45", "9 × 45 = 405", "11 + 405 = 416", "5 × 416 = 2080", "2080 − 9 = 2071", "3 + 2071 = 2074"], "key": "year-2074-J♦J♥9♥6♥9♠3♦5♣9♦"} {"id": "train-year-0428", "level": "year", "target": 1964, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + (11 + 13 - 9) * (11 + 10 * 12) - 4", "solution_steps": ["11 + 13 = 24", "24 − 9 = 15", "10 × 12 = 120", "11 + 120 = 131", "15 × 131 = 1965", "1965 − 4 = 1961", "3 + 1961 = 1964"], "key": "year-1964-4♦Q♣9♠K♦10♦J♠J♦3♣"} {"id": "train-year-0429", "level": "year", "target": 2081, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 4 + 6 + 10 * (7 + 5 * 5 * 8)", "solution_steps": ["5 × 8 = 40", "5 × 40 = 200", "7 + 200 = 207", "10 × 207 = 2070", "6 + 2070 = 2076", "4 + 2076 = 2080", "1 + 2080 = 2081"], "key": "year-2081-4♠7♦5♠6♦8♥A♦10♥5♥"} {"id": "train-year-0430", "level": "year", "target": 2012, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + (8 + 11) * (6 + 10 * (5 + 5)) - 4", "solution_steps": ["8 + 11 = 19", "5 + 5 = 10", "10 × 10 = 100", "6 + 100 = 106", "19 × 106 = 2014", "2014 − 4 = 2010", "2 + 2010 = 2012"], "key": "year-2012-4♦5♠J♣5♦6♠10♠8♣2♠"} {"id": "train-year-0431", "level": "year", "target": 2035, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 7 * (12 * (4 * 9 - 11) - 9) - 3", "solution_steps": ["4 × 9 = 36", "36 − 11 = 25", "12 × 25 = 300", "300 − 9 = 291", "7 × 291 = 2037", "2037 − 3 = 2034", "1 + 2034 = 2035"], "key": "year-2035-4♠J♦Q♥7♠3♦A♠9♠9♦"} {"id": "train-year-0432", "level": "year", "target": 1982, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 + 3 + 9 * (5 + 4 * 6 * 9) - 12", "solution_steps": ["6 × 9 = 54", "4 × 54 = 216", "5 + 216 = 221", "9 × 221 = 1989", "1989 − 12 = 1977", "3 + 1977 = 1980", "2 + 1980 = 1982"], "key": "year-1982-3♣9♦2♠9♥6♣5♣Q♥4♠"} {"id": "train-year-0433", "level": "year", "target": 1929, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 7 * (12 + 8 * 11 * (13 - 10)) - 4", "solution_steps": ["13 − 10 = 3", "11 × 3 = 33", "8 × 33 = 264", "12 + 264 = 276", "7 × 276 = 1932", "1932 − 4 = 1928", "1 + 1928 = 1929"], "key": "year-1929-10♠Q♣8♦4♣7♥A♥J♠K♥"} {"id": "train-year-0434", "level": "year", "target": 2063, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + (11 + 12) * (3 + 9 * 11 - 12) - 8", "solution_steps": ["11 + 12 = 23", "9 × 11 = 99", "99 − 12 = 87", "3 + 87 = 90", "23 × 90 = 2070", "2070 − 8 = 2062", "1 + 2062 = 2063"], "key": "year-2063-J♥J♣3♥Q♣9♦A♥8♣Q♠"} {"id": "train-year-0435", "level": "year", "target": 2077, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 2 + 10 + 3 * 8 * (9 + 7 * 11)", "solution_steps": ["7 × 11 = 77", "9 + 77 = 86", "8 × 86 = 688", "3 × 688 = 2064", "10 + 2064 = 2074", "2 + 2074 = 2076", "1 + 2076 = 2077"], "key": "year-2077-7♣8♦A♥3♥9♦10♠2♣J♣"} {"id": "train-year-0436", "level": "year", "target": 1961, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 2 * 10 * (3 * 3 * 3 * 4 - 10)", "solution_steps": ["3 × 4 = 12", "3 × 12 = 36", "3 × 36 = 108", "108 − 10 = 98", "10 × 98 = 980", "2 × 980 = 1960", "1 + 1960 = 1961"], "key": "year-1961-2♥A♦3♠3♥3♦4♣10♠10♣"} {"id": "train-year-0437", "level": "year", "target": 2022, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 1 + 2 * 5 * (4 + 11 * (8 + 10))", "solution_steps": ["8 + 10 = 18", "11 × 18 = 198", "4 + 198 = 202", "5 × 202 = 1010", "2 × 1010 = 2020", "1 + 2020 = 2021", "1 + 2021 = 2022"], "key": "year-2022-5♥2♦A♦A♥J♠10♥4♠8♥"} {"id": "train-year-0438", "level": "year", "target": 1923, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 4 + 7 * (1 + 13 * (5 * 5 - 4))", "solution_steps": ["5 × 5 = 25", "25 − 4 = 21", "13 × 21 = 273", "1 + 273 = 274", "7 × 274 = 1918", "4 + 1918 = 1922", "1 + 1922 = 1923"], "key": "year-1923-5♦A♠A♥5♣4♥4♠7♥K♣"} {"id": "train-year-0439", "level": "year", "target": 1951, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 2 + 9 + 7 * (13 * (10 + 12) - 9)", "solution_steps": ["10 + 12 = 22", "13 × 22 = 286", "286 − 9 = 277", "7 × 277 = 1939", "9 + 1939 = 1948", "2 + 1948 = 1950", "1 + 1950 = 1951"], "key": "year-1951-10♣A♣9♣7♥K♥9♦2♦Q♦"} {"id": "train-year-0440", "level": "year", "target": 1982, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 4 * (10 + 10) * (12 + 13) - 11 - 8", "solution_steps": ["10 + 10 = 20", "12 + 13 = 25", "20 × 25 = 500", "4 × 500 = 2000", "2000 − 11 = 1989", "1989 − 8 = 1981", "1 + 1981 = 1982"], "key": "year-1982-8♦4♠10♥J♠Q♠10♠K♣A♥"} {"id": "train-year-0441", "level": "year", "target": 2005, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 6 + 9 * (12 * (7 + 13) - 11 - 7)", "solution_steps": ["7 + 13 = 20", "12 × 20 = 240", "240 − 11 = 229", "229 − 7 = 222", "9 × 222 = 1998", "6 + 1998 = 2004", "1 + 2004 = 2005"], "key": "year-2005-9♥Q♥7♠A♣J♠K♠6♠7♦"} {"id": "train-year-0442", "level": "year", "target": 2023, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + (5 + 10) * (12 * (6 + 6) - 9) - 5", "solution_steps": ["5 + 10 = 15", "6 + 6 = 12", "12 × 12 = 144", "144 − 9 = 135", "15 × 135 = 2025", "2025 − 5 = 2020", "3 + 2020 = 2023"], "key": "year-2023-6♣10♣6♦5♣9♣Q♦5♥3♦"} {"id": "train-year-0443", "level": "year", "target": 1982, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 8 * (11 * (6 + 6 + 11) - 5) - 3", "solution_steps": ["6 + 11 = 17", "6 + 17 = 23", "11 × 23 = 253", "253 − 5 = 248", "8 × 248 = 1984", "1984 − 3 = 1981", "1 + 1981 = 1982"], "key": "year-1982-A♥5♥3♠J♠6♣J♥8♣6♥"} {"id": "train-year-0444", "level": "year", "target": 1966, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 4 + 13 * (12 * 13 - 5) - 6", "solution_steps": ["12 × 13 = 156", "156 − 5 = 151", "13 × 151 = 1963", "1963 − 6 = 1957", "4 + 1957 = 1961", "3 + 1961 = 1964", "2 + 1964 = 1966"], "key": "year-1966-6♠K♠Q♠K♦4♥5♦2♥3♠"} {"id": "train-year-0445", "level": "year", "target": 2012, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 3 + 4 + 11 + 12 * (13 * 13 - 3)", "solution_steps": ["13 × 13 = 169", "169 − 3 = 166", "12 × 166 = 1992", "11 + 1992 = 2003", "4 + 2003 = 2007", "3 + 2007 = 2010", "2 + 2010 = 2012"], "key": "year-2012-3♥Q♠2♥J♠K♣3♠K♦4♦"} {"id": "train-year-0446", "level": "year", "target": 1969, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 2 * 3 * (2 + 6) * (6 + 5 * 7)", "solution_steps": ["2 + 6 = 8", "5 × 7 = 35", "6 + 35 = 41", "8 × 41 = 328", "3 × 328 = 984", "2 × 984 = 1968", "1 + 1968 = 1969"], "key": "year-1969-2♦6♠A♦3♣7♣5♥2♥6♣"} {"id": "train-year-0447", "level": "year", "target": 1912, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 1 + 2 * (10 + 9 * (9 * 12 - 3))", "solution_steps": ["9 × 12 = 108", "108 − 3 = 105", "9 × 105 = 945", "10 + 945 = 955", "2 × 955 = 1910", "1 + 1910 = 1911", "1 + 1911 = 1912"], "key": "year-1912-Q♥2♠A♥9♦10♣A♣9♠3♥"} {"id": "train-year-0448", "level": "year", "target": 2072, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "3 + 5 + 12 + 12 * (10 / 5 + 13 * 13)", "solution_steps": ["10 ÷ 5 = 2", "13 × 13 = 169", "2 + 169 = 171", "12 × 171 = 2052", "12 + 2052 = 2064", "5 + 2064 = 2069", "3 + 2069 = 2072"], "key": "year-2072-K♥5♥Q♠K♦Q♣3♥10♥5♦"} {"id": "train-year-0449", "level": "year", "target": 2012, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 5 + 12 + 7 * 13 * (11 + 11) - 9", "solution_steps": ["11 + 11 = 22", "13 × 22 = 286", "7 × 286 = 2002", "12 + 2002 = 2014", "2014 − 9 = 2005", "5 + 2005 = 2010", "2 + 2010 = 2012"], "key": "year-2012-Q♠5♦9♦J♥2♥7♦J♣K♣"} {"id": "train-year-0450", "level": "year", "target": 2056, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 + 11 * (7 * 13 + 8 * 12) - 4", "solution_steps": ["7 × 13 = 91", "8 × 12 = 96", "91 + 96 = 187", "11 × 187 = 2057", "2057 − 4 = 2053", "2 + 2053 = 2055", "1 + 2055 = 2056"], "key": "year-2056-4♦8♣K♠Q♣7♦A♥2♥J♦"} {"id": "train-year-0451", "level": "year", "target": 1991, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "3 + (7 + 8) * (6 * (12 + 12) - 11) - 7", "solution_steps": ["7 + 8 = 15", "12 + 12 = 24", "6 × 24 = 144", "144 − 11 = 133", "15 × 133 = 1995", "1995 − 7 = 1988", "3 + 1988 = 1991"], "key": "year-1991-Q♣J♥7♥3♦7♣6♣Q♥8♣"} {"id": "train-year-0452", "level": "year", "target": 2024, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 4 + 3 * (8 + 7 * (11 + 7 * 12))", "solution_steps": ["7 × 12 = 84", "11 + 84 = 95", "7 × 95 = 665", "8 + 665 = 673", "3 × 673 = 2019", "4 + 2019 = 2023", "1 + 2023 = 2024"], "key": "year-2024-3♦7♦8♦A♣7♣Q♥4♥J♥"} {"id": "train-year-0453", "level": "year", "target": 2081, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "3 + 4 + 4 + 9 * 10 * (5 + 6 + 12)", "solution_steps": ["6 + 12 = 18", "5 + 18 = 23", "10 × 23 = 230", "9 × 230 = 2070", "4 + 2070 = 2074", "4 + 2074 = 2078", "3 + 2078 = 2081"], "key": "year-2081-5♣10♦6♣3♥Q♥4♦9♣4♥"} {"id": "train-year-0454", "level": "year", "target": 1952, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 4 + 7 * 7 * 10 * (9 - 5) - 13", "solution_steps": ["9 − 5 = 4", "10 × 4 = 40", "7 × 40 = 280", "7 × 280 = 1960", "1960 − 13 = 1947", "4 + 1947 = 1951", "1 + 1951 = 1952"], "key": "year-1952-K♣5♥7♣9♦A♠4♥7♠10♠"} {"id": "train-year-0455", "level": "year", "target": 2051, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 12 * (6 + 10 + 12 * 13) - 11 - 4", "solution_steps": ["12 × 13 = 156", "10 + 156 = 166", "6 + 166 = 172", "12 × 172 = 2064", "2064 − 11 = 2053", "2053 − 4 = 2049", "2 + 2049 = 2051"], "key": "year-2051-4♥J♣10♥2♥6♠Q♥Q♦K♥"} {"id": "train-year-0456", "level": "year", "target": 2057, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "2 + 3 * (5 + 10 * (7 * (5 + 5) - 2))", "solution_steps": ["5 + 5 = 10", "7 × 10 = 70", "70 − 2 = 68", "10 × 68 = 680", "5 + 680 = 685", "3 × 685 = 2055", "2 + 2055 = 2057"], "key": "year-2057-5♠2♦3♦5♥10♥7♥2♥5♣"} {"id": "train-year-0457", "level": "year", "target": 1997, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 4 + 7 + (5 + 11) * (10 * 13 - 6)", "solution_steps": ["5 + 11 = 16", "10 × 13 = 130", "130 − 6 = 124", "16 × 124 = 1984", "7 + 1984 = 1991", "4 + 1991 = 1995", "2 + 1995 = 1997"], "key": "year-1997-K♥7♣10♦J♣2♥6♥5♥4♣"} {"id": "train-year-0458", "level": "year", "target": 1902, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 + 11 * (7 + 11 * (6 + 10) - 10) - 4", "solution_steps": ["6 + 10 = 16", "11 × 16 = 176", "176 − 10 = 166", "7 + 166 = 173", "11 × 173 = 1903", "1903 − 4 = 1899", "3 + 1899 = 1902"], "key": "year-1902-3♦J♦10♠10♣4♥6♥7♠J♣"} {"id": "train-year-0459", "level": "year", "target": 1948, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 6 * 11 * (7 + 12 * (12 + 12)) / 10", "solution_steps": ["12 + 12 = 24", "12 × 24 = 288", "7 + 288 = 295", "11 × 295 = 3245", "6 × 3245 = 19470", "19470 ÷ 10 = 1947", "1 + 1947 = 1948"], "key": "year-1948-A♠Q♥7♣6♦Q♦J♦10♠Q♣"} {"id": "train-year-0460", "level": "year", "target": 1936, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 + 13 * (5 + 5 + 7 + 11 * 12) - 4", "solution_steps": ["11 × 12 = 132", "7 + 132 = 139", "5 + 139 = 144", "5 + 144 = 149", "13 × 149 = 1937", "1937 − 4 = 1933", "3 + 1933 = 1936"], "key": "year-1936-5♥3♠J♦7♦Q♠4♣K♣5♣"} {"id": "train-year-0461", "level": "year", "target": 2061, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + (7 + 12) * (9 * 13 - 8) - 7 - 4", "solution_steps": ["7 + 12 = 19", "9 × 13 = 117", "117 − 8 = 109", "19 × 109 = 2071", "2071 − 7 = 2064", "2064 − 4 = 2060", "1 + 2060 = 2061"], "key": "year-2061-K♦Q♥8♥7♥7♠9♥A♠4♥"} {"id": "train-year-0462", "level": "year", "target": 2067, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "3 + 2 * 6 * (4 + 2 * 6 * (2 + 12))", "solution_steps": ["2 + 12 = 14", "6 × 14 = 84", "2 × 84 = 168", "4 + 168 = 172", "6 × 172 = 1032", "2 × 1032 = 2064", "3 + 2064 = 2067"], "key": "year-2067-6♥2♣2♥4♠6♣3♠2♠Q♠"} {"id": "train-year-0463", "level": "year", "target": 2008, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "3 + (13 - 6) * (12 + 5 * 5 * 11) - 4", "solution_steps": ["13 − 6 = 7", "5 × 11 = 55", "5 × 55 = 275", "12 + 275 = 287", "7 × 287 = 2009", "2009 − 4 = 2005", "3 + 2005 = 2008"], "key": "year-2008-Q♦3♣5♣5♥6♥J♣K♥4♣"} {"id": "train-year-0464", "level": "year", "target": 2019, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "5 + 9 + 12 * (9 + 13 * 13 - 10) - 11", "solution_steps": ["13 × 13 = 169", "169 − 10 = 159", "9 + 159 = 168", "12 × 168 = 2016", "2016 − 11 = 2005", "9 + 2005 = 2014", "5 + 2014 = 2019"], "key": "year-2019-9♣K♥J♦5♣9♦K♣10♣Q♠"} {"id": "train-year-0465", "level": "year", "target": 2100, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 3 * 5 * (8 * (9 + 9) - 4) - 1", "solution_steps": ["9 + 9 = 18", "8 × 18 = 144", "144 − 4 = 140", "5 × 140 = 700", "3 × 700 = 2100", "2100 − 1 = 2099", "1 + 2099 = 2100"], "key": "year-2100-A♣4♥3♥5♣8♠A♥9♣9♦"} {"id": "train-year-0466", "level": "year", "target": 1987, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 12 * (7 * 7 * (13 - 6) - 12) / 2", "solution_steps": ["13 − 6 = 7", "7 × 7 = 49", "7 × 49 = 343", "343 − 12 = 331", "12 × 331 = 3972", "3972 ÷ 2 = 1986", "1 + 1986 = 1987"], "key": "year-1987-A♥7♥6♥2♠Q♣Q♠7♠K♦"} {"id": "train-year-0467", "level": "year", "target": 1990, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 5 + 12 * (7 * 7 + 9 * 13) - 8", "solution_steps": ["7 × 7 = 49", "9 × 13 = 117", "49 + 117 = 166", "12 × 166 = 1992", "1992 − 8 = 1984", "5 + 1984 = 1989", "1 + 1989 = 1990"], "key": "year-1990-K♠5♠8♦A♠7♥Q♣9♥7♣"} {"id": "train-year-0468", "level": "year", "target": 1961, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 6 + 13 * (9 * (6 + 12) - 11) - 11", "solution_steps": ["6 + 12 = 18", "9 × 18 = 162", "162 − 11 = 151", "13 × 151 = 1963", "1963 − 11 = 1952", "6 + 1952 = 1958", "3 + 1958 = 1961"], "key": "year-1961-3♦Q♦6♦K♦J♥J♠9♥6♥"} {"id": "train-year-0469", "level": "year", "target": 1912, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 4 + 6 + 10 * (3 * 7 + 13 * 13)", "solution_steps": ["3 × 7 = 21", "13 × 13 = 169", "21 + 169 = 190", "10 × 190 = 1900", "6 + 1900 = 1906", "4 + 1906 = 1910", "2 + 1910 = 1912"], "key": "year-1912-6♠4♦2♠K♦10♦7♠3♦K♠"} {"id": "train-year-0470", "level": "year", "target": 1939, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 3 + 9 * (5 + 6 + 12 * (7 + 10))", "solution_steps": ["7 + 10 = 17", "12 × 17 = 204", "6 + 204 = 210", "5 + 210 = 215", "9 × 215 = 1935", "3 + 1935 = 1938", "1 + 1938 = 1939"], "key": "year-1939-Q♠5♠A♥6♠10♦3♥7♣9♣"} {"id": "train-year-0471", "level": "year", "target": 1912, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "5 + 6 + 12 * (6 + 10 + 11 * 13) - 7", "solution_steps": ["11 × 13 = 143", "10 + 143 = 153", "6 + 153 = 159", "12 × 159 = 1908", "1908 − 7 = 1901", "6 + 1901 = 1907", "5 + 1907 = 1912"], "key": "year-1912-7♥6♣K♠Q♠J♣6♠10♠5♦"} {"id": "train-year-0472", "level": "year", "target": 1917, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 4 + 7 * (12 * (11 + 13) - 10 - 5)", "solution_steps": ["11 + 13 = 24", "12 × 24 = 288", "288 − 10 = 278", "278 − 5 = 273", "7 × 273 = 1911", "4 + 1911 = 1915", "2 + 1915 = 1917"], "key": "year-1917-10♦Q♠K♦4♣5♦J♠7♣2♦"} {"id": "train-year-0473", "level": "year", "target": 2031, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "6 + 6 + 6 + 11 * (12 + 9 * (9 + 10))", "solution_steps": ["9 + 10 = 19", "9 × 19 = 171", "12 + 171 = 183", "11 × 183 = 2013", "6 + 2013 = 2019", "6 + 2019 = 2025", "6 + 2025 = 2031"], "key": "year-2031-10♠9♥6♠J♠6♦Q♥9♦6♥"} {"id": "train-year-0474", "level": "year", "target": 2048, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 4 + 10 * (5 + 10 * (9 + 11)) - 7", "solution_steps": ["9 + 11 = 20", "10 × 20 = 200", "5 + 200 = 205", "10 × 205 = 2050", "2050 − 7 = 2043", "4 + 2043 = 2047", "1 + 2047 = 2048"], "key": "year-2048-A♠7♥10♥5♠4♦10♦9♠J♠"} {"id": "train-year-0475", "level": "year", "target": 2074, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 + 9 * (10 + 13 * (4 + 13)) - 5 - 3", "solution_steps": ["4 + 13 = 17", "13 × 17 = 221", "10 + 221 = 231", "9 × 231 = 2079", "2079 − 5 = 2074", "2074 − 3 = 2071", "3 + 2071 = 2074"], "key": "year-2074-9♥3♦3♣4♣K♦10♦K♠5♣"} {"id": "train-year-0476", "level": "year", "target": 1984, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + (13 - 9) * (6 + 7 * 7 * 10) - 3", "solution_steps": ["13 − 9 = 4", "7 × 10 = 70", "7 × 70 = 490", "6 + 490 = 496", "4 × 496 = 1984", "1984 − 3 = 1981", "3 + 1981 = 1984"], "key": "year-1984-6♠9♣7♠10♥7♣K♠3♠3♣"} {"id": "train-year-0477", "level": "year", "target": 1989, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 7 + 7 * (11 + 8 * (8 + 13 + 13))", "solution_steps": ["13 + 13 = 26", "8 + 26 = 34", "8 × 34 = 272", "11 + 272 = 283", "7 × 283 = 1981", "7 + 1981 = 1988", "1 + 1988 = 1989"], "key": "year-1989-K♦J♠8♦K♠7♠7♦A♥8♥"} {"id": "train-year-0478", "level": "year", "target": 2029, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 2 + 2 + 8 * 11 * (3 + 7 + 13)", "solution_steps": ["7 + 13 = 20", "3 + 20 = 23", "11 × 23 = 253", "8 × 253 = 2024", "2 + 2024 = 2026", "2 + 2026 = 2028", "1 + 2028 = 2029"], "key": "year-2029-A♠3♣2♠J♦2♦K♠8♣7♥"} {"id": "train-year-0479", "level": "year", "target": 1942, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "5 + 6 + 9 + 7 * 12 * (10 + 13) - 10", "solution_steps": ["10 + 13 = 23", "12 × 23 = 276", "7 × 276 = 1932", "1932 − 10 = 1922", "9 + 1922 = 1931", "6 + 1931 = 1937", "5 + 1937 = 1942"], "key": "year-1942-7♠Q♦5♦9♥10♦K♠6♣10♣"} {"id": "train-year-0480", "level": "year", "target": 1949, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "7 + 13 + (10 + 12) * (8 * 12 - 8) - 7", "solution_steps": ["10 + 12 = 22", "8 × 12 = 96", "96 − 8 = 88", "22 × 88 = 1936", "13 + 1936 = 1949", "1949 − 7 = 1942", "7 + 1942 = 1949"], "key": "year-1949-Q♠7♦K♦8♣10♠Q♣7♠8♠"} {"id": "train-year-0481", "level": "year", "target": 1933, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 3 + 5 + 13 * (8 * (8 + 11) - 4)", "solution_steps": ["8 + 11 = 19", "8 × 19 = 152", "152 − 4 = 148", "13 × 148 = 1924", "5 + 1924 = 1929", "3 + 1929 = 1932", "1 + 1932 = 1933"], "key": "year-1933-8♠K♣3♥J♥8♥A♦5♦4♣"} {"id": "train-year-0482", "level": "year", "target": 1949, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 2 + 10 * 13 * (12 + 12 - 9) - 4", "solution_steps": ["12 + 12 = 24", "24 − 9 = 15", "13 × 15 = 195", "10 × 195 = 1950", "1950 − 4 = 1946", "2 + 1946 = 1948", "1 + 1948 = 1949"], "key": "year-1949-K♣2♦10♠Q♦4♥A♦Q♥9♣"} {"id": "train-year-0483", "level": "year", "target": 1963, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 4 + 8 + 5 * (12 + 6 * 7 * 9)", "solution_steps": ["7 × 9 = 63", "6 × 63 = 378", "12 + 378 = 390", "5 × 390 = 1950", "8 + 1950 = 1958", "4 + 1958 = 1962", "1 + 1962 = 1963"], "key": "year-1963-A♠Q♥4♥9♣8♣6♥5♣7♣"} {"id": "train-year-0484", "level": "year", "target": 1921, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 1 * 3 * (13 + 7 * 9 * 10 - 3)", "solution_steps": ["9 × 10 = 90", "7 × 90 = 630", "13 + 630 = 643", "643 − 3 = 640", "3 × 640 = 1920", "1 × 1920 = 1920", "1 + 1920 = 1921"], "key": "year-1921-3♦A♠A♦9♣K♠7♣3♥10♦"} {"id": "train-year-0485", "level": "year", "target": 2050, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 12 / 6 + 9 * 12 * (6 + 13) - 5", "solution_steps": ["12 ÷ 6 = 2", "6 + 13 = 19", "12 × 19 = 228", "9 × 228 = 2052", "2 + 2052 = 2054", "2054 − 5 = 2049", "1 + 2049 = 2050"], "key": "year-2050-5♣K♥Q♥9♦Q♠6♦A♦6♥"} {"id": "train-year-0486", "level": "year", "target": 2006, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + 6 * 11 * 13 * (11 - 4) / 3", "solution_steps": ["11 − 4 = 7", "13 × 7 = 91", "11 × 91 = 1001", "6 × 1001 = 6006", "6006 ÷ 3 = 2002", "2 + 2002 = 2004", "2 + 2004 = 2006"], "key": "year-2006-3♠2♦J♦K♥6♥4♦J♥2♥"} {"id": "train-year-0487", "level": "year", "target": 2055, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 2 + 6 * (9 * (4 * 11 - 5) - 9)", "solution_steps": ["4 × 11 = 44", "44 − 5 = 39", "9 × 39 = 351", "351 − 9 = 342", "6 × 342 = 2052", "2 + 2052 = 2054", "1 + 2054 = 2055"], "key": "year-2055-9♠6♦5♦J♦A♠9♦4♦2♣"} {"id": "train-year-0488", "level": "year", "target": 2017, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 1 + 5 * (7 + 11 * (6 + 3 * 10))", "solution_steps": ["3 × 10 = 30", "6 + 30 = 36", "11 × 36 = 396", "7 + 396 = 403", "5 × 403 = 2015", "1 + 2015 = 2016", "1 + 2016 = 2017"], "key": "year-2017-A♠A♥10♠J♠6♦5♦3♣7♥"} {"id": "train-year-0489", "level": "year", "target": 1910, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "4 + 6 + 10 * (8 + 9 * (8 + 13) - 7)", "solution_steps": ["8 + 13 = 21", "9 × 21 = 189", "8 + 189 = 197", "197 − 7 = 190", "10 × 190 = 1900", "6 + 1900 = 1906", "4 + 1906 = 1910"], "key": "year-1910-4♠8♥6♠10♥7♠9♠K♦8♣"} {"id": "train-year-0490", "level": "year", "target": 1956, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 5 + 6 + 9 * (7 + 11 * (6 + 13))", "solution_steps": ["6 + 13 = 19", "11 × 19 = 209", "7 + 209 = 216", "9 × 216 = 1944", "6 + 1944 = 1950", "5 + 1950 = 1955", "1 + 1955 = 1956"], "key": "year-1956-K♠9♦5♥7♣6♠A♠6♦J♥"} {"id": "train-year-0491", "level": "year", "target": 2063, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 6 * (4 + 4) * (4 + 3 * 13) - 2", "solution_steps": ["4 + 4 = 8", "3 × 13 = 39", "4 + 39 = 43", "8 × 43 = 344", "6 × 344 = 2064", "2064 − 2 = 2062", "1 + 2062 = 2063"], "key": "year-2063-K♥6♣3♥4♣2♥A♣4♦4♥"} {"id": "train-year-0492", "level": "year", "target": 2024, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 10 * (11 * (9 + 10) - 5) - 13 - 4", "solution_steps": ["9 + 10 = 19", "11 × 19 = 209", "209 − 5 = 204", "10 × 204 = 2040", "2040 − 13 = 2027", "2027 − 4 = 2023", "1 + 2023 = 2024"], "key": "year-2024-K♣4♠A♥10♥5♣9♦10♦J♠"} {"id": "train-year-0493", "level": "year", "target": 2026, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 3 * (3 + 2 * 4 * 6 * (2 + 12))", "solution_steps": ["2 + 12 = 14", "6 × 14 = 84", "4 × 84 = 336", "2 × 336 = 672", "3 + 672 = 675", "3 × 675 = 2025", "1 + 2025 = 2026"], "key": "year-2026-4♠A♠2♣3♠6♠Q♦2♥3♦"} {"id": "train-year-0494", "level": "year", "target": 2009, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "4 + 5 + (7 + 13) * (6 * (6 + 12) - 8)", "solution_steps": ["7 + 13 = 20", "6 + 12 = 18", "6 × 18 = 108", "108 − 8 = 100", "20 × 100 = 2000", "5 + 2000 = 2005", "4 + 2005 = 2009"], "key": "year-2009-K♦8♠7♦6♥5♥6♦4♦Q♣"} {"id": "train-year-0495", "level": "year", "target": 1963, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "5 + 7 + 12 + 7 * (13 + 11 * (12 + 12))", "solution_steps": ["12 + 12 = 24", "11 × 24 = 264", "13 + 264 = 277", "7 × 277 = 1939", "12 + 1939 = 1951", "7 + 1951 = 1958", "5 + 1958 = 1963"], "key": "year-1963-Q♦7♣Q♣Q♥J♦K♣5♣7♥"} {"id": "train-year-0496", "level": "year", "target": 2032, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 * (1 + 4 * (2 + 11) * (4 + 9))", "solution_steps": ["2 + 11 = 13", "4 + 9 = 13", "13 × 13 = 169", "4 × 169 = 676", "1 + 676 = 677", "3 × 677 = 2031", "1 + 2031 = 2032"], "key": "year-2032-9♣2♠A♣J♠A♥4♣4♦3♠"} {"id": "train-year-0497", "level": "year", "target": 1963, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 3 + 4 + (11 + 12) * (8 * 11 - 3)", "solution_steps": ["11 + 12 = 23", "8 × 11 = 88", "88 − 3 = 85", "23 × 85 = 1955", "4 + 1955 = 1959", "3 + 1959 = 1962", "1 + 1962 = 1963"], "key": "year-1963-8♥Q♦4♦J♦3♥3♣J♥A♣"} {"id": "train-year-0498", "level": "year", "target": 2049, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 5 + 10 + (6 + 13) * (11 + 8 * 12)", "solution_steps": ["6 + 13 = 19", "8 × 12 = 96", "11 + 96 = 107", "19 × 107 = 2033", "10 + 2033 = 2043", "5 + 2043 = 2048", "1 + 2048 = 2049"], "key": "year-2049-6♦8♥A♦Q♣10♥5♣K♣J♠"} {"id": "train-year-0499", "level": "year", "target": 2063, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 3 + 4 * 12 * (7 * 8 - 13) - 7", "solution_steps": ["7 × 8 = 56", "56 − 13 = 43", "12 × 43 = 516", "4 × 516 = 2064", "2064 − 7 = 2057", "3 + 2057 = 2060", "3 + 2060 = 2063"], "key": "year-2063-3♣7♥4♣Q♥7♦K♦8♠3♥"} {"id": "train-year-0500", "level": "year", "target": 2091, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 3 + 4 + 10 * 11 * (8 + 11) - 8", "solution_steps": ["8 + 11 = 19", "11 × 19 = 209", "10 × 209 = 2090", "2090 − 8 = 2082", "4 + 2082 = 2086", "3 + 2086 = 2089", "2 + 2089 = 2091"], "key": "year-2091-3♣8♣2♠J♥4♦10♥8♠J♣"} {"id": "train-year-0501", "level": "year", "target": 1925, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 9 * (11 * (9 + 11) - 4 - 2) - 2", "solution_steps": ["9 + 11 = 20", "11 × 20 = 220", "220 − 4 = 216", "216 − 2 = 214", "9 × 214 = 1926", "1926 − 2 = 1924", "1 + 1924 = 1925"], "key": "year-1925-2♦2♣9♠9♦J♣4♥J♦A♦"} {"id": "train-year-0502", "level": "year", "target": 2058, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 13 * (7 * (4 * 8 - 8) - 10)", "solution_steps": ["4 × 8 = 32", "32 − 8 = 24", "7 × 24 = 168", "168 − 10 = 158", "13 × 158 = 2054", "3 + 2054 = 2057", "1 + 2057 = 2058"], "key": "year-2058-A♠4♥7♦10♠K♥8♥8♣3♠"} {"id": "train-year-0503", "level": "year", "target": 1922, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 6 + 10 * 12 * (9 + 13 - 6) - 6", "solution_steps": ["9 + 13 = 22", "22 − 6 = 16", "12 × 16 = 192", "10 × 192 = 1920", "1920 − 6 = 1914", "6 + 1914 = 1920", "2 + 1920 = 1922"], "key": "year-1922-K♠2♥6♦6♣Q♥9♥10♠6♠"} {"id": "train-year-0504", "level": "year", "target": 1952, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 5 + (8 + 8 * 9 * 9 * 12) / 4", "solution_steps": ["9 × 12 = 108", "9 × 108 = 972", "8 × 972 = 7776", "8 + 7776 = 7784", "7784 ÷ 4 = 1946", "5 + 1946 = 1951", "1 + 1951 = 1952"], "key": "year-1952-8♦5♣Q♣8♥4♥A♥9♥9♠"} {"id": "train-year-0505", "level": "year", "target": 1985, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 9 * 13 * (6 + 11) - 12 / 4 - 4", "solution_steps": ["6 + 11 = 17", "13 × 17 = 221", "9 × 221 = 1989", "12 ÷ 4 = 3", "1989 − 3 = 1986", "1986 − 4 = 1982", "3 + 1982 = 1985"], "key": "year-1985-J♥Q♥K♥4♦3♥9♥4♣6♥"} {"id": "train-year-0506", "level": "year", "target": 1953, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "3 + 4 + 12 * (13 * (5 + 8) - 6) - 10", "solution_steps": ["5 + 8 = 13", "13 × 13 = 169", "169 − 6 = 163", "12 × 163 = 1956", "1956 − 10 = 1946", "4 + 1946 = 1950", "3 + 1950 = 1953"], "key": "year-1953-5♦3♠10♣K♥8♥6♥Q♣4♦"} {"id": "train-year-0507", "level": "year", "target": 2052, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 2 + 2 + 7 + 10 * 12 * (4 + 13)", "solution_steps": ["4 + 13 = 17", "12 × 17 = 204", "10 × 204 = 2040", "7 + 2040 = 2047", "2 + 2047 = 2049", "2 + 2049 = 2051", "1 + 2051 = 2052"], "key": "year-2052-A♥Q♦4♦7♣2♣K♥2♥10♣"} {"id": "train-year-0508", "level": "year", "target": 1947, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 6 * (13 + 12 * (7 + 9 + 10)) - 4", "solution_steps": ["9 + 10 = 19", "7 + 19 = 26", "12 × 26 = 312", "13 + 312 = 325", "6 × 325 = 1950", "1950 − 4 = 1946", "1 + 1946 = 1947"], "key": "year-1947-K♦4♣Q♠9♥10♦A♦7♣6♥"} {"id": "train-year-0509", "level": "year", "target": 2097, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 4 + 5 * 7 + 11 * 11 * (4 + 13)", "solution_steps": ["5 × 7 = 35", "4 + 13 = 17", "11 × 17 = 187", "11 × 187 = 2057", "35 + 2057 = 2092", "4 + 2092 = 2096", "1 + 2096 = 2097"], "key": "year-2097-5♠4♥7♦K♣A♠4♦J♠J♦"} {"id": "train-year-0510", "level": "year", "target": 1968, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 4 * (11 - 7) * (13 + 10 * 11) - 1", "solution_steps": ["11 − 7 = 4", "10 × 11 = 110", "13 + 110 = 123", "4 × 123 = 492", "4 × 492 = 1968", "1968 − 1 = 1967", "1 + 1967 = 1968"], "key": "year-1968-J♠A♥7♦10♦A♦J♣4♥K♣"} {"id": "train-year-0511", "level": "year", "target": 1939, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 3 * (5 + 12) * (8 + 12 * 12) / 4", "solution_steps": ["5 + 12 = 17", "12 × 12 = 144", "8 + 144 = 152", "17 × 152 = 2584", "2584 ÷ 4 = 646", "3 × 646 = 1938", "1 + 1938 = 1939"], "key": "year-1939-4♦5♠3♦8♣Q♥Q♦Q♠A♠"} {"id": "train-year-0512", "level": "year", "target": 1998, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "8 + 8 + 11 * (9 * (8 + 13) - 8) - 9", "solution_steps": ["8 + 13 = 21", "9 × 21 = 189", "189 − 8 = 181", "11 × 181 = 1991", "1991 − 9 = 1982", "8 + 1982 = 1990", "8 + 1990 = 1998"], "key": "year-1998-8♠9♦K♠9♠8♥8♣8♦J♣"} {"id": "train-year-0513", "level": "year", "target": 1949, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "3 + 6 + 5 * (8 + (8 + 11) * (10 + 10))", "solution_steps": ["8 + 11 = 19", "10 + 10 = 20", "19 × 20 = 380", "8 + 380 = 388", "5 × 388 = 1940", "6 + 1940 = 1946", "3 + 1946 = 1949"], "key": "year-1949-5♦10♦10♥3♠8♦6♣J♣8♠"} {"id": "train-year-0514", "level": "year", "target": 1929, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 5 * (11 + 3 * (10 * 13 - 5)) - 2", "solution_steps": ["10 × 13 = 130", "130 − 5 = 125", "3 × 125 = 375", "11 + 375 = 386", "5 × 386 = 1930", "1930 − 2 = 1928", "1 + 1928 = 1929"], "key": "year-1929-3♥5♦A♣10♥J♦K♦2♣5♠"} {"id": "train-year-0515", "level": "year", "target": 2066, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 * (3 + (8 + 13) * (9 + 4 * 10))", "solution_steps": ["8 + 13 = 21", "4 × 10 = 40", "9 + 40 = 49", "21 × 49 = 1029", "3 + 1029 = 1032", "2 × 1032 = 2064", "2 + 2064 = 2066"], "key": "year-2066-4♠8♦3♦K♦9♥10♦2♦2♥"} {"id": "train-year-0516", "level": "year", "target": 2034, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 3 + 7 * (9 * 10 + 8 * (12 + 13))", "solution_steps": ["9 × 10 = 90", "12 + 13 = 25", "8 × 25 = 200", "90 + 200 = 290", "7 × 290 = 2030", "3 + 2030 = 2033", "1 + 2033 = 2034"], "key": "year-2034-10♥Q♠7♣3♣K♥9♣8♦A♦"} {"id": "train-year-0517", "level": "year", "target": 1958, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 * (5 * (8 + 4 * 4 * 4 * 6) - 2)", "solution_steps": ["4 × 6 = 24", "4 × 24 = 96", "4 × 96 = 384", "8 + 384 = 392", "5 × 392 = 1960", "1960 − 2 = 1958", "1 × 1958 = 1958"], "key": "year-1958-8♦2♣6♦5♦4♥A♠4♠4♣"} {"id": "train-year-0518", "level": "year", "target": 1953, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "4 + 5 + 4 * (6 + 5 * (8 + 8 * 11))", "solution_steps": ["8 × 11 = 88", "8 + 88 = 96", "5 × 96 = 480", "6 + 480 = 486", "4 × 486 = 1944", "5 + 1944 = 1949", "4 + 1949 = 1953"], "key": "year-1953-J♦6♣4♥4♦8♦5♥8♠5♠"} {"id": "train-year-0519", "level": "year", "target": 2007, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 8 + 12 * (9 * (10 + 10) - 13) - 8", "solution_steps": ["10 + 10 = 20", "9 × 20 = 180", "180 − 13 = 167", "12 × 167 = 2004", "2004 − 8 = 1996", "8 + 1996 = 2004", "3 + 2004 = 2007"], "key": "year-2007-3♦8♥Q♥8♠K♦9♣10♠10♥"} {"id": "train-year-0520", "level": "year", "target": 2096, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 2 + 7 * (9 + 10 * (8 + 8 + 13))", "solution_steps": ["8 + 13 = 21", "8 + 21 = 29", "10 × 29 = 290", "9 + 290 = 299", "7 × 299 = 2093", "2 + 2093 = 2095", "1 + 2095 = 2096"], "key": "year-2096-K♥10♠8♠A♥7♦2♣8♥9♠"} {"id": "train-year-0521", "level": "year", "target": 2010, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 13 + 2 * 10 * 10 * (4 + 6) - 4", "solution_steps": ["4 + 6 = 10", "10 × 10 = 100", "10 × 100 = 1000", "2 × 1000 = 2000", "13 + 2000 = 2013", "2013 − 4 = 2009", "1 + 2009 = 2010"], "key": "year-2010-4♠2♣4♥6♥10♦K♥A♠10♥"} {"id": "train-year-0522", "level": "year", "target": 2015, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 10 + 3 * (4 * 13 * 13 - 9)", "solution_steps": ["13 × 13 = 169", "4 × 169 = 676", "676 − 9 = 667", "3 × 667 = 2001", "10 + 2001 = 2011", "2 + 2011 = 2013", "2 + 2013 = 2015"], "key": "year-2015-3♣10♠K♦2♥9♣K♣4♣2♣"} {"id": "train-year-0523", "level": "year", "target": 2039, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 3 + (8 + 10) * (6 * (7 + 13) - 7)", "solution_steps": ["8 + 10 = 18", "7 + 13 = 20", "6 × 20 = 120", "120 − 7 = 113", "18 × 113 = 2034", "3 + 2034 = 2037", "2 + 2037 = 2039"], "key": "year-2039-2♥K♦3♣6♣7♥8♣7♠10♦"} {"id": "train-year-0524", "level": "year", "target": 2008, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "2 + 3 + 7 * 9 * (5 * 9 - 13) - 13", "solution_steps": ["5 × 9 = 45", "45 − 13 = 32", "9 × 32 = 288", "7 × 288 = 2016", "2016 − 13 = 2003", "3 + 2003 = 2006", "2 + 2006 = 2008"], "key": "year-2008-2♥9♦K♣3♦9♥7♥K♠5♣"} {"id": "train-year-0525", "level": "year", "target": 2047, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 6 * 8 + 11 * 13 * (7 + 7) - 4", "solution_steps": ["6 × 8 = 48", "7 + 7 = 14", "13 × 14 = 182", "11 × 182 = 2002", "48 + 2002 = 2050", "2050 − 4 = 2046", "1 + 2046 = 2047"], "key": "year-2047-J♥8♥6♥K♦A♣7♠4♠7♥"} {"id": "train-year-0526", "level": "year", "target": 1927, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "6 + 9 + 12 * (8 + 8 * (6 + 13)) - 8", "solution_steps": ["6 + 13 = 19", "8 × 19 = 152", "8 + 152 = 160", "12 × 160 = 1920", "9 + 1920 = 1929", "1929 − 8 = 1921", "6 + 1921 = 1927"], "key": "year-1927-8♠8♦6♦9♠Q♣6♥8♥K♣"} {"id": "train-year-0527", "level": "year", "target": 2072, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 3 * (5 * (9 + 10 * (4 + 9)) - 5)", "solution_steps": ["4 + 9 = 13", "10 × 13 = 130", "9 + 130 = 139", "5 × 139 = 695", "695 − 5 = 690", "3 × 690 = 2070", "2 + 2070 = 2072"], "key": "year-2072-3♦5♠5♣9♣4♥10♣2♠9♦"} {"id": "train-year-0528", "level": "year", "target": 1960, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 3 + 5 * (13 + 3 * 9 * (6 + 8))", "solution_steps": ["6 + 8 = 14", "9 × 14 = 126", "3 × 126 = 378", "13 + 378 = 391", "5 × 391 = 1955", "3 + 1955 = 1958", "2 + 1958 = 1960"], "key": "year-1960-3♠2♠5♦8♠9♦3♥K♦6♠"} {"id": "train-year-0529", "level": "year", "target": 1959, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 2 + 6 * (7 * 12 + 2 * 11 * 11)", "solution_steps": ["7 × 12 = 84", "11 × 11 = 121", "2 × 121 = 242", "84 + 242 = 326", "6 × 326 = 1956", "2 + 1956 = 1958", "1 + 1958 = 1959"], "key": "year-1959-2♦2♠Q♥6♣A♣7♦J♣J♥"} {"id": "train-year-0530", "level": "year", "target": 2027, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 4 + 5 * 11 * (5 * 9 - 8) - 13", "solution_steps": ["5 × 9 = 45", "45 − 8 = 37", "11 × 37 = 407", "5 × 407 = 2035", "2035 − 13 = 2022", "4 + 2022 = 2026", "1 + 2026 = 2027"], "key": "year-2027-8♣5♥4♦J♠K♦5♠A♦9♦"} {"id": "train-year-0531", "level": "year", "target": 2034, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 3 + 13 * (6 + 7) * (11 + 8 / 8)", "solution_steps": ["6 + 7 = 13", "8 ÷ 8 = 1", "11 + 1 = 12", "13 × 12 = 156", "13 × 156 = 2028", "3 + 2028 = 2031", "3 + 2031 = 2034"], "key": "year-2034-3♥K♠3♦8♦J♠6♠7♥8♥"} {"id": "train-year-0532", "level": "year", "target": 2071, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 2 + (6 + 7) * (9 * (8 + 10) - 3)", "solution_steps": ["6 + 7 = 13", "8 + 10 = 18", "9 × 18 = 162", "162 − 3 = 159", "13 × 159 = 2067", "2 + 2067 = 2069", "2 + 2069 = 2071"], "key": "year-2071-2♠10♠2♣8♦7♦9♠6♠3♠"} {"id": "train-year-0533", "level": "year", "target": 1954, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 5 + (5 + 6) * (6 * 10 + 9 * 13)", "solution_steps": ["5 + 6 = 11", "6 × 10 = 60", "9 × 13 = 117", "60 + 117 = 177", "11 × 177 = 1947", "5 + 1947 = 1952", "2 + 1952 = 1954"], "key": "year-1954-9♠K♠6♥5♣10♥5♠2♣6♣"} {"id": "train-year-0534", "level": "year", "target": 1906, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 2 + 3 + 5 * (7 + 13) * (9 + 10)", "solution_steps": ["7 + 13 = 20", "9 + 10 = 19", "20 × 19 = 380", "5 × 380 = 1900", "3 + 1900 = 1903", "2 + 1903 = 1905", "1 + 1905 = 1906"], "key": "year-1906-3♠A♠9♠K♥7♠2♣10♥5♦"} {"id": "train-year-0535", "level": "year", "target": 2014, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 6 + 12 + (8 + 11) * (9 + 8 * 12)", "solution_steps": ["8 + 11 = 19", "8 × 12 = 96", "9 + 96 = 105", "19 × 105 = 1995", "12 + 1995 = 2007", "6 + 2007 = 2013", "1 + 2013 = 2014"], "key": "year-2014-8♥A♠J♠Q♣6♣9♦Q♥8♦"} {"id": "train-year-0536", "level": "year", "target": 1919, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 * 3 * 4 * (1 + 9) * (3 + 5) - 1", "solution_steps": ["1 + 9 = 10", "3 + 5 = 8", "10 × 8 = 80", "4 × 80 = 320", "3 × 320 = 960", "2 × 960 = 1920", "1920 − 1 = 1919"], "key": "year-1919-3♠4♣3♣2♣A♣A♦9♠5♥"} {"id": "train-year-0537", "level": "year", "target": 2021, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 2 + 4 * (9 + 10 * 10 * 10) / 2", "solution_steps": ["10 × 10 = 100", "10 × 100 = 1000", "9 + 1000 = 1009", "4 × 1009 = 4036", "4036 ÷ 2 = 2018", "2 + 2018 = 2020", "1 + 2020 = 2021"], "key": "year-2021-9♣2♥10♦2♣A♣4♦10♥10♣"} {"id": "train-year-0538", "level": "year", "target": 1902, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 4 + 7 * (6 * 6 * 8 - 12 - 5)", "solution_steps": ["6 × 8 = 48", "6 × 48 = 288", "288 − 12 = 276", "276 − 5 = 271", "7 × 271 = 1897", "4 + 1897 = 1901", "1 + 1901 = 1902"], "key": "year-1902-6♣A♥5♥Q♠8♦6♠7♣4♠"} {"id": "train-year-0539", "level": "year", "target": 1903, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 5 + 7 + 9 * (12 * (8 + 10) - 6)", "solution_steps": ["8 + 10 = 18", "12 × 18 = 216", "216 − 6 = 210", "9 × 210 = 1890", "7 + 1890 = 1897", "5 + 1897 = 1902", "1 + 1902 = 1903"], "key": "year-1903-10♣5♠6♣8♠7♦A♥9♠Q♥"} {"id": "train-year-0540", "level": "year", "target": 2043, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "2 + 4 * 7 * (9 * 10 - 9 - 8) - 3", "solution_steps": ["9 × 10 = 90", "90 − 9 = 81", "81 − 8 = 73", "7 × 73 = 511", "4 × 511 = 2044", "2044 − 3 = 2041", "2 + 2041 = 2043"], "key": "year-2043-9♦3♥10♣7♥8♦2♥9♣4♥"} {"id": "train-year-0541", "level": "year", "target": 1903, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 5 + 10 * (6 + 8 * (10 + 13)) - 3", "solution_steps": ["10 + 13 = 23", "8 × 23 = 184", "6 + 184 = 190", "10 × 190 = 1900", "5 + 1900 = 1905", "1905 − 3 = 1902", "1 + 1902 = 1903"], "key": "year-1903-8♣10♣A♦3♣K♦10♥6♠5♦"} {"id": "train-year-0542", "level": "year", "target": 2049, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 2 + 5 + 10 * (9 * (11 + 12) - 3)", "solution_steps": ["11 + 12 = 23", "9 × 23 = 207", "207 − 3 = 204", "10 × 204 = 2040", "5 + 2040 = 2045", "2 + 2045 = 2047", "2 + 2047 = 2049"], "key": "year-2049-Q♦2♦10♦J♦2♠5♦3♦9♣"} {"id": "train-year-0543", "level": "year", "target": 1949, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 3 + 5 * (5 + 3 * 8 * (4 + 12))", "solution_steps": ["4 + 12 = 16", "8 × 16 = 128", "3 × 128 = 384", "5 + 384 = 389", "5 × 389 = 1945", "3 + 1945 = 1948", "1 + 1948 = 1949"], "key": "year-1949-8♥3♥5♦Q♦A♠4♣3♦5♥"} {"id": "train-year-0544", "level": "year", "target": 1929, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 4 + 12 + 7 * 7 * 13 * (8 - 5)", "solution_steps": ["8 − 5 = 3", "13 × 3 = 39", "7 × 39 = 273", "7 × 273 = 1911", "12 + 1911 = 1923", "4 + 1923 = 1927", "2 + 1927 = 1929"], "key": "year-1929-7♥5♥K♦4♥7♦8♠2♥Q♦"} {"id": "train-year-0545", "level": "year", "target": 2024, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "2 + 7 + 11 * (4 + 10 * (9 + 9)) - 9", "solution_steps": ["9 + 9 = 18", "10 × 18 = 180", "4 + 180 = 184", "11 × 184 = 2024", "2024 − 9 = 2015", "7 + 2015 = 2022", "2 + 2022 = 2024"], "key": "year-2024-9♣4♠9♥7♥9♦10♠2♦J♦"} {"id": "train-year-0546", "level": "year", "target": 1974, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 2 + (12 - 3) * (11 + 13 * (5 + 11))", "solution_steps": ["12 − 3 = 9", "5 + 11 = 16", "13 × 16 = 208", "11 + 208 = 219", "9 × 219 = 1971", "2 + 1971 = 1973", "1 + 1973 = 1974"], "key": "year-1974-5♠A♣2♦Q♣K♠3♦J♦J♣"} {"id": "train-year-0547", "level": "year", "target": 1919, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 1 * 7 * (4 * 8 * 9 - 8 - 6)", "solution_steps": ["8 × 9 = 72", "4 × 72 = 288", "288 − 8 = 280", "280 − 6 = 274", "7 × 274 = 1918", "1 × 1918 = 1918", "1 + 1918 = 1919"], "key": "year-1919-A♣8♦A♦9♣4♦8♠7♣6♣"} {"id": "train-year-0548", "level": "year", "target": 1995, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "7 + 8 + 13 * (10 + 12 * 12) - 12 - 10", "solution_steps": ["12 × 12 = 144", "10 + 144 = 154", "13 × 154 = 2002", "2002 − 12 = 1990", "1990 − 10 = 1980", "8 + 1980 = 1988", "7 + 1988 = 1995"], "key": "year-1995-Q♠10♦10♣8♣7♣Q♦K♦Q♥"} {"id": "train-year-0549", "level": "year", "target": 1989, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "3 + 3 + 4 + 9 * 13 * (5 + 12) - 10", "solution_steps": ["5 + 12 = 17", "13 × 17 = 221", "9 × 221 = 1989", "1989 − 10 = 1979", "4 + 1979 = 1983", "3 + 1983 = 1986", "3 + 1986 = 1989"], "key": "year-1989-9♠3♣4♠3♦K♦10♣Q♥5♥"} {"id": "train-year-0550", "level": "year", "target": 1974, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 2 + 3 * (8 + 11 * (8 * 9 - 13))", "solution_steps": ["8 × 9 = 72", "72 − 13 = 59", "11 × 59 = 649", "8 + 649 = 657", "3 × 657 = 1971", "2 + 1971 = 1973", "1 + 1973 = 1974"], "key": "year-1974-2♣A♥K♠8♠3♣J♥9♦8♣"} {"id": "train-year-0551", "level": "year", "target": 2063, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 4 + 7 * (8 * 12 + 11 * (5 + 13))", "solution_steps": ["8 × 12 = 96", "5 + 13 = 18", "11 × 18 = 198", "96 + 198 = 294", "7 × 294 = 2058", "4 + 2058 = 2062", "1 + 2062 = 2063"], "key": "year-2063-7♣4♣8♦K♥5♣A♠Q♣J♥"} {"id": "train-year-0552", "level": "year", "target": 2061, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 3 + 2 * (8 * 10 * 13 - 8 - 4)", "solution_steps": ["10 × 13 = 130", "8 × 130 = 1040", "1040 − 8 = 1032", "1032 − 4 = 1028", "2 × 1028 = 2056", "3 + 2056 = 2059", "2 + 2059 = 2061"], "key": "year-2061-8♦8♠2♣K♠4♣2♥3♣10♥"} {"id": "train-year-0553", "level": "year", "target": 1909, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 4 + 4 * (8 * (7 + 6 * 9) - 12)", "solution_steps": ["6 × 9 = 54", "7 + 54 = 61", "8 × 61 = 488", "488 − 12 = 476", "4 × 476 = 1904", "4 + 1904 = 1908", "1 + 1908 = 1909"], "key": "year-1909-Q♣8♦9♠7♦4♥6♦A♠4♦"} {"id": "train-year-0554", "level": "year", "target": 2026, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 4 + 5 + 6 * (7 + 9) * (8 + 13)", "solution_steps": ["7 + 9 = 16", "8 + 13 = 21", "16 × 21 = 336", "6 × 336 = 2016", "5 + 2016 = 2021", "4 + 2021 = 2025", "1 + 2025 = 2026"], "key": "year-2026-6♣4♥9♦7♦8♠5♠A♦K♦"} {"id": "train-year-0555", "level": "year", "target": 1986, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 6 + 8 * (13 * (10 + 10) - 12) - 6", "solution_steps": ["10 + 10 = 20", "13 × 20 = 260", "260 − 12 = 248", "8 × 248 = 1984", "1984 − 6 = 1978", "6 + 1978 = 1984", "2 + 1984 = 1986"], "key": "year-1986-2♥K♣Q♣6♦8♦10♠6♥10♣"} {"id": "train-year-0556", "level": "year", "target": 1993, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "2 + 11 * (11 + 9 * (4 * 12 - 9)) / 2", "solution_steps": ["4 × 12 = 48", "48 − 9 = 39", "9 × 39 = 351", "11 + 351 = 362", "11 × 362 = 3982", "3982 ÷ 2 = 1991", "2 + 1991 = 1993"], "key": "year-1993-2♥J♥4♥9♣9♠2♦J♠Q♣"} {"id": "train-year-0557", "level": "year", "target": 1950, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 7 + 11 * 13 * (7 + 7) - 6 * 10", "solution_steps": ["7 + 7 = 14", "13 × 14 = 182", "11 × 182 = 2002", "6 × 10 = 60", "2002 − 60 = 1942", "7 + 1942 = 1949", "1 + 1949 = 1950"], "key": "year-1950-7♠7♦A♠6♥K♣J♥7♣10♦"} {"id": "train-year-0558", "level": "year", "target": 1947, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 2 + 3 * 4 * (11 * (5 + 10) - 3)", "solution_steps": ["5 + 10 = 15", "11 × 15 = 165", "165 − 3 = 162", "4 × 162 = 648", "3 × 648 = 1944", "2 + 1944 = 1946", "1 + 1946 = 1947"], "key": "year-1947-5♥3♦10♣2♦4♦A♠J♦3♥"} {"id": "train-year-0559", "level": "year", "target": 2038, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 + 11 * (3 + 7 * (8 + 9 + 9))", "solution_steps": ["9 + 9 = 18", "8 + 18 = 26", "7 × 26 = 182", "3 + 182 = 185", "11 × 185 = 2035", "2 + 2035 = 2037", "1 + 2037 = 2038"], "key": "year-2038-2♥3♥9♥9♠A♣7♣8♣J♦"} {"id": "train-year-0560", "level": "year", "target": 1939, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 4 * 5 * (7 * (4 + 11) - 8) - 3", "solution_steps": ["4 + 11 = 15", "7 × 15 = 105", "105 − 8 = 97", "5 × 97 = 485", "4 × 485 = 1940", "1940 − 3 = 1937", "2 + 1937 = 1939"], "key": "year-1939-J♥8♥4♥4♣3♥5♣7♠2♠"} {"id": "train-year-0561", "level": "year", "target": 1976, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 7 + 3 * 8 * (8 + 7 * 11 - 3)", "solution_steps": ["7 × 11 = 77", "8 + 77 = 85", "85 − 3 = 82", "8 × 82 = 656", "3 × 656 = 1968", "7 + 1968 = 1975", "1 + 1975 = 1976"], "key": "year-1976-3♠8♥7♣A♠3♥7♦8♣J♠"} {"id": "train-year-0562", "level": "year", "target": 1983, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 4 + 11 * 13 * (5 + 9) - 4 * 6", "solution_steps": ["5 + 9 = 14", "13 × 14 = 182", "11 × 182 = 2002", "4 × 6 = 24", "2002 − 24 = 1978", "4 + 1978 = 1982", "1 + 1982 = 1983"], "key": "year-1983-6♣4♣A♥5♦9♣4♠J♠K♠"} {"id": "train-year-0563", "level": "year", "target": 1979, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 2 + 7 + 11 * (8 * 10 + 9 * 11)", "solution_steps": ["8 × 10 = 80", "9 × 11 = 99", "80 + 99 = 179", "11 × 179 = 1969", "7 + 1969 = 1976", "2 + 1976 = 1978", "1 + 1978 = 1979"], "key": "year-1979-2♣7♠J♠10♠A♥J♦9♠8♥"} {"id": "train-year-0564", "level": "year", "target": 2040, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "5 + 5 + 7 * (13 - 8) * (6 * 11 - 8)", "solution_steps": ["13 − 8 = 5", "6 × 11 = 66", "66 − 8 = 58", "5 × 58 = 290", "7 × 290 = 2030", "5 + 2030 = 2035", "5 + 2035 = 2040"], "key": "year-2040-J♥7♣K♥8♦8♠5♠5♦6♠"} {"id": "train-year-0565", "level": "year", "target": 1929, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 3 + 4 + (7 + 8) * (8 + 10 * 12)", "solution_steps": ["7 + 8 = 15", "10 × 12 = 120", "8 + 120 = 128", "15 × 128 = 1920", "4 + 1920 = 1924", "3 + 1924 = 1927", "2 + 1927 = 1929"], "key": "year-1929-8♣8♥4♦Q♠7♦10♣3♦2♣"} {"id": "train-year-0566", "level": "year", "target": 2002, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + (2 + 8 * (6 * 7 * 12 - 4)) / 2", "solution_steps": ["7 × 12 = 84", "6 × 84 = 504", "504 − 4 = 500", "8 × 500 = 4000", "2 + 4000 = 4002", "4002 ÷ 2 = 2001", "1 + 2001 = 2002"], "key": "year-2002-6♦7♣2♦4♦2♣A♥Q♦8♥"} {"id": "train-year-0567", "level": "year", "target": 1979, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 4 + 6 * (5 + 12 * (5 + 9 + 13))", "solution_steps": ["9 + 13 = 22", "5 + 22 = 27", "12 × 27 = 324", "5 + 324 = 329", "6 × 329 = 1974", "4 + 1974 = 1978", "1 + 1978 = 1979"], "key": "year-1979-9♥4♥5♣A♠6♠K♠Q♥5♥"} {"id": "train-year-0568", "level": "year", "target": 2088, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 + (5 + 3 * 3) * (12 * 13 - 7)", "solution_steps": ["3 × 3 = 9", "5 + 9 = 14", "12 × 13 = 156", "156 − 7 = 149", "14 × 149 = 2086", "1 + 2086 = 2087", "1 + 2087 = 2088"], "key": "year-2088-7♠3♠Q♦A♣3♣5♣K♠A♥"} {"id": "train-year-0569", "level": "year", "target": 1982, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 4 + 10 * 11 * (5 + 13) - 12 / 4", "solution_steps": ["5 + 13 = 18", "11 × 18 = 198", "10 × 198 = 1980", "12 ÷ 4 = 3", "1980 − 3 = 1977", "4 + 1977 = 1981", "1 + 1981 = 1982"], "key": "year-1982-Q♠J♠A♠4♦4♠K♠5♠10♠"} {"id": "train-year-0570", "level": "year", "target": 2052, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "3 + 4 + 5 * (6 * 7 * 10 - 9) - 10", "solution_steps": ["7 × 10 = 70", "6 × 70 = 420", "420 − 9 = 411", "5 × 411 = 2055", "2055 − 10 = 2045", "4 + 2045 = 2049", "3 + 2049 = 2052"], "key": "year-2052-4♣7♠3♥5♣6♥10♣10♠9♥"} {"id": "train-year-0571", "level": "year", "target": 2031, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + 8 + 10 * 12 * (8 + 9) - 13 - 7", "solution_steps": ["8 + 9 = 17", "12 × 17 = 204", "10 × 204 = 2040", "2040 − 13 = 2027", "8 + 2027 = 2035", "2035 − 7 = 2028", "3 + 2028 = 2031"], "key": "year-2031-K♣9♣3♠10♦7♣8♥8♠Q♥"} {"id": "train-year-0572", "level": "year", "target": 1923, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 2 + 9 * (10 * (11 + 11) - 6) - 7", "solution_steps": ["11 + 11 = 22", "10 × 22 = 220", "220 − 6 = 214", "9 × 214 = 1926", "1926 − 7 = 1919", "2 + 1919 = 1921", "2 + 1921 = 1923"], "key": "year-1923-J♠2♣6♠2♥9♦7♥10♠J♥"} {"id": "train-year-0573", "level": "year", "target": 2085, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "3 + 7 + 5 * 5 * (13 + 9 * 9 - 11)", "solution_steps": ["9 × 9 = 81", "13 + 81 = 94", "94 − 11 = 83", "5 × 83 = 415", "5 × 415 = 2075", "7 + 2075 = 2082", "3 + 2082 = 2085"], "key": "year-2085-9♥7♦9♦3♣K♣J♣5♦5♠"} {"id": "train-year-0574", "level": "year", "target": 2040, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 3 + 13 * (4 + 9 * (7 + 10)) - 5", "solution_steps": ["7 + 10 = 17", "9 × 17 = 153", "4 + 153 = 157", "13 × 157 = 2041", "2041 − 5 = 2036", "3 + 2036 = 2039", "1 + 2039 = 2040"], "key": "year-2040-A♦3♦4♥9♣10♣7♥K♣5♠"} {"id": "train-year-0575", "level": "year", "target": 1993, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "2 + 8 + 6 / 2 + 10 * 11 * (6 + 12)", "solution_steps": ["6 ÷ 2 = 3", "6 + 12 = 18", "11 × 18 = 198", "10 × 198 = 1980", "3 + 1980 = 1983", "8 + 1983 = 1991", "2 + 1991 = 1993"], "key": "year-1993-2♥J♣6♦2♣6♠8♣10♦Q♥"} {"id": "train-year-0576", "level": "year", "target": 1976, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 5 + 4 * (8 + 6 * 9 * 9) - 7", "solution_steps": ["9 × 9 = 81", "6 × 81 = 486", "8 + 486 = 494", "4 × 494 = 1976", "1976 − 7 = 1969", "5 + 1969 = 1974", "2 + 1974 = 1976"], "key": "year-1976-7♦4♠6♦5♦8♠9♥2♦9♦"} {"id": "train-year-0577", "level": "year", "target": 2043, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 7 + 8 * (3 * 8 * 11 - 8) - 13", "solution_steps": ["8 × 11 = 88", "3 × 88 = 264", "264 − 8 = 256", "8 × 256 = 2048", "2048 − 13 = 2035", "7 + 2035 = 2042", "1 + 2042 = 2043"], "key": "year-2043-J♣K♣8♣A♣8♦8♥3♦7♥"} {"id": "train-year-0578", "level": "year", "target": 2034, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 3 + 10 + 8 * 11 * (10 + 13) - 4", "solution_steps": ["10 + 13 = 23", "11 × 23 = 253", "8 × 253 = 2024", "10 + 2024 = 2034", "2034 − 4 = 2030", "3 + 2030 = 2033", "1 + 2033 = 2034"], "key": "year-2034-K♣J♦3♠4♠10♠10♦8♥A♥"} {"id": "train-year-0579", "level": "year", "target": 1932, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 + 12 + 9 * (13 + 10 * (8 + 12))", "solution_steps": ["8 + 12 = 20", "10 × 20 = 200", "13 + 200 = 213", "9 × 213 = 1917", "12 + 1917 = 1929", "2 + 1929 = 1931", "1 + 1931 = 1932"], "key": "year-1932-9♣Q♦8♣Q♠A♠10♠2♥K♠"} {"id": "train-year-0580", "level": "year", "target": 2076, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "3 + 5 + 11 * (8 + 9 * 10 * (8 - 6))", "solution_steps": ["8 − 6 = 2", "10 × 2 = 20", "9 × 20 = 180", "8 + 180 = 188", "11 × 188 = 2068", "5 + 2068 = 2073", "3 + 2073 = 2076"], "key": "year-2076-10♦8♥6♦3♠9♥J♠8♠5♥"} {"id": "train-year-0581", "level": "year", "target": 1914, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 4 + 12 * 12 * (6 * 10 - 7) / 4", "solution_steps": ["6 × 10 = 60", "60 − 7 = 53", "12 × 53 = 636", "12 × 636 = 7632", "7632 ÷ 4 = 1908", "4 + 1908 = 1912", "2 + 1912 = 1914"], "key": "year-1914-4♥6♦7♣Q♣4♠2♦10♣Q♦"} {"id": "train-year-0582", "level": "year", "target": 1986, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 13 * (4 + 5) * (7 + 10) - 3 - 2", "solution_steps": ["4 + 5 = 9", "7 + 10 = 17", "9 × 17 = 153", "13 × 153 = 1989", "1989 − 3 = 1986", "1986 − 2 = 1984", "2 + 1984 = 1986"], "key": "year-1986-2♦5♠2♠4♣3♠10♣7♦K♠"} {"id": "train-year-0583", "level": "year", "target": 2077, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 2 * (8 * 10 * (4 * 4 - 3) - 2)", "solution_steps": ["4 × 4 = 16", "16 − 3 = 13", "10 × 13 = 130", "8 × 130 = 1040", "1040 − 2 = 1038", "2 × 1038 = 2076", "1 + 2076 = 2077"], "key": "year-2077-8♣2♣10♠A♥3♥4♦4♠2♦"} {"id": "train-year-0584", "level": "year", "target": 2061, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "5 + 13 + 10 * (12 * (8 + 10) - 11) - 7", "solution_steps": ["8 + 10 = 18", "12 × 18 = 216", "216 − 11 = 205", "10 × 205 = 2050", "13 + 2050 = 2063", "2063 − 7 = 2056", "5 + 2056 = 2061"], "key": "year-2061-Q♠J♦K♥10♥5♠10♦7♣8♥"} {"id": "train-year-0585", "level": "year", "target": 1982, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "4 + 6 + 7 * (7 + 12 * (10 + 13)) - 9", "solution_steps": ["10 + 13 = 23", "12 × 23 = 276", "7 + 276 = 283", "7 × 283 = 1981", "1981 − 9 = 1972", "6 + 1972 = 1978", "4 + 1978 = 1982"], "key": "year-1982-9♦K♥7♦Q♠10♠6♣4♣7♠"} {"id": "train-year-0586", "level": "year", "target": 1996, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 1 + 8 * 10 * (5 + 7 + 13) - 6", "solution_steps": ["7 + 13 = 20", "5 + 20 = 25", "10 × 25 = 250", "8 × 250 = 2000", "2000 − 6 = 1994", "1 + 1994 = 1995", "1 + 1995 = 1996"], "key": "year-1996-K♠8♠6♣10♥A♠7♥A♦5♠"} {"id": "train-year-0587", "level": "year", "target": 2010, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 + 4 * (13 * (7 * 8 - 10 - 7) - 5)", "solution_steps": ["7 × 8 = 56", "56 − 10 = 46", "46 − 7 = 39", "13 × 39 = 507", "507 − 5 = 502", "4 × 502 = 2008", "2 + 2008 = 2010"], "key": "year-2010-K♠5♣8♦7♦7♣2♦10♠4♠"} {"id": "train-year-0588", "level": "year", "target": 2010, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 13 * (7 * (11 + 12) - 6) - 4 - 3", "solution_steps": ["11 + 12 = 23", "7 × 23 = 161", "161 − 6 = 155", "13 × 155 = 2015", "2015 − 4 = 2011", "2011 − 3 = 2008", "2 + 2008 = 2010"], "key": "year-2010-J♠K♥4♦7♦2♠Q♠6♣3♠"} {"id": "train-year-0589", "level": "year", "target": 2038, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 2 + (5 + 6) * (3 * 7 * 9 - 4)", "solution_steps": ["5 + 6 = 11", "7 × 9 = 63", "3 × 63 = 189", "189 − 4 = 185", "11 × 185 = 2035", "2 + 2035 = 2037", "1 + 2037 = 2038"], "key": "year-2038-6♠9♠5♦A♦3♥2♣4♣7♠"} {"id": "train-year-0590", "level": "year", "target": 2089, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "4 + 5 + 10 + 9 * 10 * (6 + 6 + 11)", "solution_steps": ["6 + 11 = 17", "6 + 17 = 23", "10 × 23 = 230", "9 × 230 = 2070", "10 + 2070 = 2080", "5 + 2080 = 2085", "4 + 2085 = 2089"], "key": "year-2089-6♣10♦6♥10♠4♠5♦J♠9♠"} {"id": "train-year-0591", "level": "year", "target": 2098, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 4 * 6 * 11 * (10 - 2) - 11 - 4", "solution_steps": ["10 − 2 = 8", "11 × 8 = 88", "6 × 88 = 528", "4 × 528 = 2112", "2112 − 11 = 2101", "2101 − 4 = 2097", "1 + 2097 = 2098"], "key": "year-2098-J♠2♦4♦10♠A♠6♦4♠J♥"} {"id": "train-year-0592", "level": "year", "target": 2068, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 4 + (9 + 13) * (9 * 11 - 5) - 6", "solution_steps": ["9 + 13 = 22", "9 × 11 = 99", "99 − 5 = 94", "22 × 94 = 2068", "2068 − 6 = 2062", "4 + 2062 = 2066", "2 + 2066 = 2068"], "key": "year-2068-9♦K♦9♣2♥6♦J♦5♥4♦"} {"id": "train-year-0593", "level": "year", "target": 1964, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 4 + 9 + 13 * (7 + 11 * (5 + 8))", "solution_steps": ["5 + 8 = 13", "11 × 13 = 143", "7 + 143 = 150", "13 × 150 = 1950", "9 + 1950 = 1959", "4 + 1959 = 1963", "1 + 1963 = 1964"], "key": "year-1964-4♠K♥8♣J♣5♦7♣A♥9♥"} {"id": "train-year-0594", "level": "year", "target": 2025, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "7 + 8 + 10 + (9 + 11) * (9 * 12 - 8)", "solution_steps": ["9 + 11 = 20", "9 × 12 = 108", "108 − 8 = 100", "20 × 100 = 2000", "10 + 2000 = 2010", "8 + 2010 = 2018", "7 + 2018 = 2025"], "key": "year-2025-10♦9♥8♥Q♠9♣8♠J♠7♠"} {"id": "train-year-0595", "level": "year", "target": 1954, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 5 + 9 + 6 * (7 + 10) * (7 + 12)", "solution_steps": ["7 + 10 = 17", "7 + 12 = 19", "17 × 19 = 323", "6 × 323 = 1938", "9 + 1938 = 1947", "5 + 1947 = 1952", "2 + 1952 = 1954"], "key": "year-1954-7♣7♠9♦5♠6♠Q♣10♥2♥"} {"id": "train-year-0596", "level": "year", "target": 1987, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 6 + 10 + 10 * 11 * (7 + 11) - 12", "solution_steps": ["7 + 11 = 18", "11 × 18 = 198", "10 × 198 = 1980", "1980 − 12 = 1968", "10 + 1968 = 1978", "6 + 1978 = 1984", "3 + 1984 = 1987"], "key": "year-1987-10♣7♣J♣10♥6♣Q♥J♥3♥"} {"id": "train-year-0597", "level": "year", "target": 1938, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 3 + 5 + 7 * 12 * (10 + 13) - 4", "solution_steps": ["10 + 13 = 23", "12 × 23 = 276", "7 × 276 = 1932", "5 + 1932 = 1937", "1937 − 4 = 1933", "3 + 1933 = 1936", "2 + 1936 = 1938"], "key": "year-1938-5♦2♥Q♠3♦4♥K♦10♠7♦"} {"id": "train-year-0598", "level": "year", "target": 2090, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 7 + 8 * 10 + 13 * (10 + 12 * 12)", "solution_steps": ["8 × 10 = 80", "12 × 12 = 144", "10 + 144 = 154", "13 × 154 = 2002", "80 + 2002 = 2082", "7 + 2082 = 2089", "1 + 2089 = 2090"], "key": "year-2090-10♦8♥7♣Q♦10♥Q♣A♦K♣"} {"id": "train-year-0599", "level": "year", "target": 2035, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 2 + 8 * (7 + 11 * (10 + 13) - 6)", "solution_steps": ["10 + 13 = 23", "11 × 23 = 253", "7 + 253 = 260", "260 − 6 = 254", "8 × 254 = 2032", "2 + 2032 = 2034", "1 + 2034 = 2035"], "key": "year-2035-J♠10♠8♥6♠2♥K♥A♣7♦"} {"id": "train-year-0600", "level": "year", "target": 1903, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + 11 * (5 + 7 * (6 + 8 + 10)) - 2", "solution_steps": ["8 + 10 = 18", "6 + 18 = 24", "7 × 24 = 168", "5 + 168 = 173", "11 × 173 = 1903", "1903 − 2 = 1901", "2 + 1901 = 1903"], "key": "year-1903-2♦8♣2♥J♥5♦10♠7♥6♦"} {"id": "train-year-0601", "level": "year", "target": 1997, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 7 + 8 * (10 + 12 * (8 + 12)) - 11", "solution_steps": ["8 + 12 = 20", "12 × 20 = 240", "10 + 240 = 250", "8 × 250 = 2000", "2000 − 11 = 1989", "7 + 1989 = 1996", "1 + 1996 = 1997"], "key": "year-1997-Q♣A♥8♥10♠7♣J♥Q♦8♣"} {"id": "train-year-0602", "level": "year", "target": 1905, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 3 + 4 * (7 + 9 * (7 * 8 - 4))", "solution_steps": ["7 × 8 = 56", "56 − 4 = 52", "9 × 52 = 468", "7 + 468 = 475", "4 × 475 = 1900", "3 + 1900 = 1903", "2 + 1903 = 1905"], "key": "year-1905-7♦4♥7♥3♣9♦4♦2♣8♠"} {"id": "train-year-0603", "level": "year", "target": 1909, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 4 + 4 * (10 + 6 * 6 * 13) - 9", "solution_steps": ["6 × 13 = 78", "6 × 78 = 468", "10 + 468 = 478", "4 × 478 = 1912", "1912 − 9 = 1903", "4 + 1903 = 1907", "2 + 1907 = 1909"], "key": "year-1909-10♦2♦9♦K♠4♦6♥6♦4♣"} {"id": "train-year-0604", "level": "year", "target": 1969, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 2 * 2 * (3 + 9) * (13 + 4 * 7)", "solution_steps": ["3 + 9 = 12", "4 × 7 = 28", "13 + 28 = 41", "12 × 41 = 492", "2 × 492 = 984", "2 × 984 = 1968", "1 + 1968 = 1969"], "key": "year-1969-3♣K♥2♠A♣2♥9♥7♦4♥"} {"id": "train-year-0605", "level": "year", "target": 2011, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 2 * (8 * 9 * (2 + 5 + 7) - 3)", "solution_steps": ["5 + 7 = 12", "2 + 12 = 14", "9 × 14 = 126", "8 × 126 = 1008", "1008 − 3 = 1005", "2 × 1005 = 2010", "1 + 2010 = 2011"], "key": "year-2011-3♣2♠2♣A♥7♣8♠5♠9♥"} {"id": "train-year-0606", "level": "year", "target": 1914, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 3 + 10 + (9 + 11) * (11 + 7 * 12)", "solution_steps": ["9 + 11 = 20", "7 × 12 = 84", "11 + 84 = 95", "20 × 95 = 1900", "10 + 1900 = 1910", "3 + 1910 = 1913", "1 + 1913 = 1914"], "key": "year-1914-A♥10♦J♣3♣9♣7♣J♦Q♠"} {"id": "train-year-0607", "level": "year", "target": 2035, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 5 + 8 + 10 * (9 * (10 + 13) - 5)", "solution_steps": ["10 + 13 = 23", "9 × 23 = 207", "207 − 5 = 202", "10 × 202 = 2020", "8 + 2020 = 2028", "5 + 2028 = 2033", "2 + 2033 = 2035"], "key": "year-2035-10♠9♦8♥5♦10♥2♦5♥K♠"} {"id": "train-year-0608", "level": "year", "target": 1920, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 2 + 6 * (3 * 9 * 12 - 4) - 3", "solution_steps": ["9 × 12 = 108", "3 × 108 = 324", "324 − 4 = 320", "6 × 320 = 1920", "1920 − 3 = 1917", "2 + 1917 = 1919", "1 + 1919 = 1920"], "key": "year-1920-9♦Q♦2♦3♣3♥4♠A♣6♠"} {"id": "train-year-0609", "level": "year", "target": 1947, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "4 + 13 + 5 * (9 + 6 * 7 * 9) - 5", "solution_steps": ["7 × 9 = 63", "6 × 63 = 378", "9 + 378 = 387", "5 × 387 = 1935", "13 + 1935 = 1948", "1948 − 5 = 1943", "4 + 1943 = 1947"], "key": "year-1947-9♦6♥9♠K♣4♥7♣5♣5♥"} {"id": "train-year-0610", "level": "year", "target": 2019, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "4 + 5 + 6 + 12 * 13 * 13 - 13 - 11", "solution_steps": ["13 × 13 = 169", "12 × 169 = 2028", "2028 − 13 = 2015", "2015 − 11 = 2004", "6 + 2004 = 2010", "5 + 2010 = 2015", "4 + 2015 = 2019"], "key": "year-2019-K♠J♠K♥K♦Q♦6♦5♥4♠"} {"id": "train-year-0611", "level": "year", "target": 1989, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 3 + 5 + 11 * 12 * (13 + 12 / 6)", "solution_steps": ["12 ÷ 6 = 2", "13 + 2 = 15", "12 × 15 = 180", "11 × 180 = 1980", "5 + 1980 = 1985", "3 + 1985 = 1988", "1 + 1988 = 1989"], "key": "year-1989-5♣6♦K♥3♠J♣Q♦Q♥A♣"} {"id": "train-year-0612", "level": "year", "target": 1970, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 9 * (7 + 4 * (7 * 8 - 3)) - 3", "solution_steps": ["7 × 8 = 56", "56 − 3 = 53", "4 × 53 = 212", "7 + 212 = 219", "9 × 219 = 1971", "1971 − 3 = 1968", "2 + 1968 = 1970"], "key": "year-1970-7♣9♠3♠3♣7♥8♦4♥2♦"} {"id": "train-year-0613", "level": "year", "target": 1905, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 7 + 8 * (5 * 10 + 11 * (7 + 10))", "solution_steps": ["5 × 10 = 50", "7 + 10 = 17", "11 × 17 = 187", "50 + 187 = 237", "8 × 237 = 1896", "7 + 1896 = 1903", "2 + 1903 = 1905"], "key": "year-1905-10♣2♣7♦7♥J♠5♥8♠10♦"} {"id": "train-year-0614", "level": "year", "target": 2062, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "2 + 12 + 4 * 9 * (7 + 5 * 10) - 4", "solution_steps": ["5 × 10 = 50", "7 + 50 = 57", "9 × 57 = 513", "4 × 513 = 2052", "12 + 2052 = 2064", "2064 − 4 = 2060", "2 + 2060 = 2062"], "key": "year-2062-4♣2♣4♦9♣7♥10♥5♦Q♥"} {"id": "train-year-0615", "level": "year", "target": 2049, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 2 * (3 + 4 + 9 * (5 + 9 * 12))", "solution_steps": ["9 × 12 = 108", "5 + 108 = 113", "9 × 113 = 1017", "4 + 1017 = 1021", "3 + 1021 = 1024", "2 × 1024 = 2048", "1 + 2048 = 2049"], "key": "year-2049-4♥Q♦9♠9♦2♣A♥5♦3♣"} {"id": "train-year-0616", "level": "year", "target": 1919, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 3 + 6 + 12 * (3 + 13 * (5 + 7))", "solution_steps": ["5 + 7 = 12", "13 × 12 = 156", "3 + 156 = 159", "12 × 159 = 1908", "6 + 1908 = 1914", "3 + 1914 = 1917", "2 + 1917 = 1919"], "key": "year-1919-7♠Q♦3♦3♥K♣6♥5♥2♦"} {"id": "train-year-0617", "level": "year", "target": 2023, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 3 + 8 + 10 * (5 * 9 + 12 * 13)", "solution_steps": ["5 × 9 = 45", "12 × 13 = 156", "45 + 156 = 201", "10 × 201 = 2010", "8 + 2010 = 2018", "3 + 2018 = 2021", "2 + 2021 = 2023"], "key": "year-2023-Q♦10♦3♠2♠9♣8♠5♠K♠"} {"id": "train-year-0618", "level": "year", "target": 1959, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + (6 + 11) * (10 * 12 - 4) - 11 - 3", "solution_steps": ["6 + 11 = 17", "10 × 12 = 120", "120 − 4 = 116", "17 × 116 = 1972", "1972 − 11 = 1961", "1961 − 3 = 1958", "1 + 1958 = 1959"], "key": "year-1959-Q♣A♣10♣6♠J♥J♠3♦4♣"} {"id": "train-year-0619", "level": "year", "target": 1942, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 8 * (3 * 7 * 12 - 8) - 6 - 6", "solution_steps": ["7 × 12 = 84", "3 × 84 = 252", "252 − 8 = 244", "8 × 244 = 1952", "1952 − 6 = 1946", "1946 − 6 = 1940", "2 + 1940 = 1942"], "key": "year-1942-3♥2♣Q♦6♦6♠8♣7♠8♦"} {"id": "train-year-0620", "level": "year", "target": 2083, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "3 + 4 + 6 + (7 + 8) * (8 + 10 * 13)", "solution_steps": ["7 + 8 = 15", "10 × 13 = 130", "8 + 130 = 138", "15 × 138 = 2070", "6 + 2070 = 2076", "4 + 2076 = 2080", "3 + 2080 = 2083"], "key": "year-2083-3♠7♣K♦6♥4♦8♦8♥10♦"} {"id": "train-year-0621", "level": "year", "target": 1981, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 5 + 7 * (4 * 8 * 11 - 7 * 10)", "solution_steps": ["8 × 11 = 88", "4 × 88 = 352", "7 × 10 = 70", "352 − 70 = 282", "7 × 282 = 1974", "5 + 1974 = 1979", "2 + 1979 = 1981"], "key": "year-1981-J♦4♠5♠2♥8♦10♦7♠7♦"} {"id": "train-year-0622", "level": "year", "target": 2001, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 7 + 11 * (8 * (11 + 13) - 10) - 10", "solution_steps": ["11 + 13 = 24", "8 × 24 = 192", "192 − 10 = 182", "11 × 182 = 2002", "2002 − 10 = 1992", "7 + 1992 = 1999", "2 + 1999 = 2001"], "key": "year-2001-K♠10♣2♦10♥8♣7♦J♥J♠"} {"id": "train-year-0623", "level": "year", "target": 2086, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 10 * (6 * 7 * (12 - 2) - 3) / 2", "solution_steps": ["12 − 2 = 10", "7 × 10 = 70", "6 × 70 = 420", "420 − 3 = 417", "10 × 417 = 4170", "4170 ÷ 2 = 2085", "1 + 2085 = 2086"], "key": "year-2086-6♥3♠10♣2♣2♥Q♠7♣A♣"} {"id": "train-year-0624", "level": "year", "target": 1948, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 4 + 4 + 13 * (5 + 9 * (8 + 8))", "solution_steps": ["8 + 8 = 16", "9 × 16 = 144", "5 + 144 = 149", "13 × 149 = 1937", "4 + 1937 = 1941", "4 + 1941 = 1945", "3 + 1945 = 1948"], "key": "year-1948-3♥5♠K♣4♣8♠4♠9♠8♦"} {"id": "train-year-0625", "level": "year", "target": 2073, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "3 + (7 + 10) * (5 + 9 * (5 + 8)) - 4", "solution_steps": ["7 + 10 = 17", "5 + 8 = 13", "9 × 13 = 117", "5 + 117 = 122", "17 × 122 = 2074", "2074 − 4 = 2070", "3 + 2070 = 2073"], "key": "year-2073-5♣5♠8♣9♣7♠10♠3♣4♠"} {"id": "train-year-0626", "level": "year", "target": 2060, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 2 + (4 + 7) * (8 * (12 + 13) - 13)", "solution_steps": ["4 + 7 = 11", "12 + 13 = 25", "8 × 25 = 200", "200 − 13 = 187", "11 × 187 = 2057", "2 + 2057 = 2059", "1 + 2059 = 2060"], "key": "year-2060-2♠K♦K♣Q♦8♣4♣A♠7♣"} {"id": "train-year-0627", "level": "year", "target": 2027, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 4 + 6 + 8 * (12 + 10 * (11 + 13))", "solution_steps": ["11 + 13 = 24", "10 × 24 = 240", "12 + 240 = 252", "8 × 252 = 2016", "6 + 2016 = 2022", "4 + 2022 = 2026", "1 + 2026 = 2027"], "key": "year-2027-10♠6♠4♠A♦J♣8♥K♠Q♠"} {"id": "train-year-0628", "level": "year", "target": 2055, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 + 11 * (7 + 10 * (3 * 7 - 3)) - 4", "solution_steps": ["3 × 7 = 21", "21 − 3 = 18", "10 × 18 = 180", "7 + 180 = 187", "11 × 187 = 2057", "2057 − 4 = 2053", "2 + 2053 = 2055"], "key": "year-2055-7♠3♠2♣J♥10♠7♣3♣4♠"} {"id": "train-year-0629", "level": "year", "target": 1933, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "3 + 4 + (5 + 13) * (7 + 10 + 9 * 10)", "solution_steps": ["5 + 13 = 18", "9 × 10 = 90", "10 + 90 = 100", "7 + 100 = 107", "18 × 107 = 1926", "4 + 1926 = 1930", "3 + 1930 = 1933"], "key": "year-1933-10♣K♠7♣9♦5♥3♦10♠4♣"} {"id": "train-year-0630", "level": "year", "target": 1905, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 12 + 10 * 10 * (8 + 11) - 5 - 4", "solution_steps": ["8 + 11 = 19", "10 × 19 = 190", "10 × 190 = 1900", "12 + 1900 = 1912", "1912 − 5 = 1907", "1907 − 4 = 1903", "2 + 1903 = 1905"], "key": "year-1905-10♣10♦5♣8♠4♣J♣2♦Q♦"} {"id": "train-year-0631", "level": "year", "target": 1998, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 5 + 10 * (7 / 7 + 9 * (9 + 13))", "solution_steps": ["7 ÷ 7 = 1", "9 + 13 = 22", "9 × 22 = 198", "1 + 198 = 199", "10 × 199 = 1990", "5 + 1990 = 1995", "3 + 1995 = 1998"], "key": "year-1998-K♥5♠7♥9♦10♣9♥7♣3♥"} {"id": "train-year-0632", "level": "year", "target": 1905, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "5 + 6 + 12 * (13 * 13 - 11) - 12 / 6", "solution_steps": ["13 × 13 = 169", "169 − 11 = 158", "12 × 158 = 1896", "12 ÷ 6 = 2", "1896 − 2 = 1894", "6 + 1894 = 1900", "5 + 1900 = 1905"], "key": "year-1905-Q♥Q♦K♦6♦K♣J♠5♠6♣"} {"id": "train-year-0633", "level": "year", "target": 2017, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 10 * (9 * (4 * 7 - 5) - 5) - 4", "solution_steps": ["4 × 7 = 28", "28 − 5 = 23", "9 × 23 = 207", "207 − 5 = 202", "10 × 202 = 2020", "2020 − 4 = 2016", "1 + 2016 = 2017"], "key": "year-2017-4♦5♦9♠10♠7♣A♠5♣4♠"} {"id": "train-year-0634", "level": "year", "target": 1935, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "5 + 6 + 11 + 8 * 10 * (12 + 12) - 7", "solution_steps": ["12 + 12 = 24", "10 × 24 = 240", "8 × 240 = 1920", "11 + 1920 = 1931", "1931 − 7 = 1924", "6 + 1924 = 1930", "5 + 1930 = 1935"], "key": "year-1935-Q♠J♦5♠6♥Q♦8♣10♣7♠"} {"id": "train-year-0635", "level": "year", "target": 2072, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 1 + 10 * (2 + 11 * (7 + 12) - 4)", "solution_steps": ["7 + 12 = 19", "11 × 19 = 209", "209 − 4 = 205", "2 + 205 = 207", "10 × 207 = 2070", "1 + 2070 = 2071", "1 + 2071 = 2072"], "key": "year-2072-4♠J♣A♥7♦2♥Q♠A♦10♣"} {"id": "train-year-0636", "level": "year", "target": 2053, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 + 5 + 13 + 8 * (12 * (11 + 11) - 10)", "solution_steps": ["11 + 11 = 22", "12 × 22 = 264", "264 − 10 = 254", "8 × 254 = 2032", "13 + 2032 = 2045", "5 + 2045 = 2050", "3 + 2050 = 2053"], "key": "year-2053-K♠J♦Q♦5♥8♣3♥10♠J♣"} {"id": "train-year-0637", "level": "year", "target": 1927, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 2 + 4 + 12 * (7 + 10 + 11 * 13)", "solution_steps": ["11 × 13 = 143", "10 + 143 = 153", "7 + 153 = 160", "12 × 160 = 1920", "4 + 1920 = 1924", "2 + 1924 = 1926", "1 + 1926 = 1927"], "key": "year-1927-2♦A♠7♠J♦K♥Q♦4♦10♦"} {"id": "train-year-0638", "level": "year", "target": 1948, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 2 + 12 * (13 * (6 + 7) - 6) - 11", "solution_steps": ["6 + 7 = 13", "13 × 13 = 169", "169 − 6 = 163", "12 × 163 = 1956", "1956 − 11 = 1945", "2 + 1945 = 1947", "1 + 1947 = 1948"], "key": "year-1948-A♥2♠Q♦6♣K♥6♦J♦7♦"} {"id": "train-year-0639", "level": "year", "target": 2019, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 4 + 6 * 13 + 11 * 11 * (7 + 9)", "solution_steps": ["6 × 13 = 78", "7 + 9 = 16", "11 × 16 = 176", "11 × 176 = 1936", "78 + 1936 = 2014", "4 + 2014 = 2018", "1 + 2018 = 2019"], "key": "year-2019-J♥9♣4♠A♥6♦J♣K♠7♣"} {"id": "train-year-0640", "level": "year", "target": 2027, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 11 * (3 + 13 + 7 * (12 + 12))", "solution_steps": ["12 + 12 = 24", "7 × 24 = 168", "13 + 168 = 181", "3 + 181 = 184", "11 × 184 = 2024", "2 + 2024 = 2026", "1 + 2026 = 2027"], "key": "year-2027-K♠2♣Q♥3♦J♠Q♠7♥A♣"} {"id": "train-year-0641", "level": "year", "target": 1977, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 7 * (8 - 5) * (9 * 11 - 5)", "solution_steps": ["8 − 5 = 3", "9 × 11 = 99", "99 − 5 = 94", "3 × 94 = 282", "7 × 282 = 1974", "2 + 1974 = 1976", "1 + 1976 = 1977"], "key": "year-1977-5♠J♥2♣8♥9♦7♠5♦A♣"} {"id": "train-year-0642", "level": "year", "target": 1952, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 3 + 3 + 9 * 12 * (3 + 4 + 11)", "solution_steps": ["4 + 11 = 15", "3 + 15 = 18", "12 × 18 = 216", "9 × 216 = 1944", "3 + 1944 = 1947", "3 + 1947 = 1950", "2 + 1950 = 1952"], "key": "year-1952-3♣2♦J♣3♠3♦4♣9♠Q♦"} {"id": "train-year-0643", "level": "year", "target": 1957, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 4 * (2 * 7 * (3 * 12 - 1) - 1)", "solution_steps": ["3 × 12 = 36", "36 − 1 = 35", "7 × 35 = 245", "2 × 245 = 490", "490 − 1 = 489", "4 × 489 = 1956", "1 + 1956 = 1957"], "key": "year-1957-A♦3♣4♠7♥Q♠A♥2♣A♣"} {"id": "train-year-0644", "level": "year", "target": 2074, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 3 + 4 * (4 * 11 * 12 - 9) - 6", "solution_steps": ["11 × 12 = 132", "4 × 132 = 528", "528 − 9 = 519", "4 × 519 = 2076", "2076 − 6 = 2070", "3 + 2070 = 2073", "1 + 2073 = 2074"], "key": "year-2074-6♣4♦9♥3♣A♦4♠Q♦J♠"} {"id": "train-year-0645", "level": "year", "target": 1909, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + (11 + 11) * (8 * 12 - 9) - 4 - 2", "solution_steps": ["11 + 11 = 22", "8 × 12 = 96", "96 − 9 = 87", "22 × 87 = 1914", "1914 − 4 = 1910", "1910 − 2 = 1908", "1 + 1908 = 1909"], "key": "year-1909-8♣A♦9♥Q♥J♦2♦J♣4♦"} {"id": "train-year-0646", "level": "year", "target": 2059, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 + (4 + 4) * (5 + 3 * 7 * 12)", "solution_steps": ["4 + 4 = 8", "7 × 12 = 84", "3 × 84 = 252", "5 + 252 = 257", "8 × 257 = 2056", "2 + 2056 = 2058", "1 + 2058 = 2059"], "key": "year-2059-3♥4♦5♦A♦7♣4♥Q♠2♥"} {"id": "train-year-0647", "level": "year", "target": 2071, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "6 + 7 + 10 + 8 * (11 * (11 + 13) - 8)", "solution_steps": ["11 + 13 = 24", "11 × 24 = 264", "264 − 8 = 256", "8 × 256 = 2048", "10 + 2048 = 2058", "7 + 2058 = 2065", "6 + 2065 = 2071"], "key": "year-2071-J♠7♥8♣10♥J♥8♦K♥6♦"} {"id": "train-year-0648", "level": "year", "target": 1992, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 3 + 3 * (11 * (13 + 4 * 12) - 9)", "solution_steps": ["4 × 12 = 48", "13 + 48 = 61", "11 × 61 = 671", "671 − 9 = 662", "3 × 662 = 1986", "3 + 1986 = 1989", "3 + 1989 = 1992"], "key": "year-1992-J♣9♠Q♣K♥3♥3♠4♦3♦"} {"id": "train-year-0649", "level": "year", "target": 2024, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "4 + 4 + 7 * (5 + 13) * (9 + 12 - 5)", "solution_steps": ["5 + 13 = 18", "9 + 12 = 21", "21 − 5 = 16", "18 × 16 = 288", "7 × 288 = 2016", "4 + 2016 = 2020", "4 + 2020 = 2024"], "key": "year-2024-4♥4♦5♣Q♥K♠7♥5♠9♠"} {"id": "train-year-0650", "level": "year", "target": 2047, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "(2 + 11 * (8 + 13 * (4 * 8 - 4))) / 2", "solution_steps": ["4 × 8 = 32", "32 − 4 = 28", "13 × 28 = 364", "8 + 364 = 372", "11 × 372 = 4092", "2 + 4092 = 4094", "4094 ÷ 2 = 2047"], "key": "year-2047-K♣2♦8♦J♥8♣4♠2♠4♣"} {"id": "train-year-0651", "level": "year", "target": 1927, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "2 + 4 + 5 / 5 + 10 * 12 * (3 + 13)", "solution_steps": ["5 ÷ 5 = 1", "3 + 13 = 16", "12 × 16 = 192", "10 × 192 = 1920", "1 + 1920 = 1921", "4 + 1921 = 1925", "2 + 1925 = 1927"], "key": "year-1927-2♦3♣4♠5♦10♣K♣5♥Q♣"} {"id": "train-year-0652", "level": "year", "target": 2037, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 2 + 5 + 13 * (8 * (7 + 13) - 4)", "solution_steps": ["7 + 13 = 20", "8 × 20 = 160", "160 − 4 = 156", "13 × 156 = 2028", "5 + 2028 = 2033", "2 + 2033 = 2035", "2 + 2035 = 2037"], "key": "year-2037-K♠K♦2♥5♣7♦2♦8♠4♣"} {"id": "train-year-0653", "level": "year", "target": 1960, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + 6 * 7 * (12 + 5 * 7) - 11 - 6", "solution_steps": ["5 × 7 = 35", "12 + 35 = 47", "7 × 47 = 329", "6 × 329 = 1974", "1974 − 11 = 1963", "1963 − 6 = 1957", "3 + 1957 = 1960"], "key": "year-1960-7♦6♣3♠5♥J♠6♦7♥Q♣"} {"id": "train-year-0654", "level": "year", "target": 2020, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + (9 + 11) * (6 + 5 * (6 + 13)) - 1", "solution_steps": ["9 + 11 = 20", "6 + 13 = 19", "5 × 19 = 95", "6 + 95 = 101", "20 × 101 = 2020", "2020 − 1 = 2019", "1 + 2019 = 2020"], "key": "year-2020-9♠A♥J♥6♥A♣K♠6♠5♥"} {"id": "train-year-0655", "level": "year", "target": 2026, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "3 + 6 + 13 * 13 * (10 + 11 - 9) - 11", "solution_steps": ["10 + 11 = 21", "21 − 9 = 12", "13 × 12 = 156", "13 × 156 = 2028", "2028 − 11 = 2017", "6 + 2017 = 2023", "3 + 2023 = 2026"], "key": "year-2026-K♠3♣10♦6♥K♦J♣J♠9♣"} {"id": "train-year-0656", "level": "year", "target": 1986, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "3 + 3 + 4 * (10 + 5 * (13 + 7 * 12))", "solution_steps": ["7 × 12 = 84", "13 + 84 = 97", "5 × 97 = 485", "10 + 485 = 495", "4 × 495 = 1980", "3 + 1980 = 1983", "3 + 1983 = 1986"], "key": "year-1986-Q♥7♥3♥4♣3♠5♣K♦10♣"} {"id": "train-year-0657", "level": "year", "target": 1964, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 1 + 3 * (5 * 7 * (8 + 11) - 11)", "solution_steps": ["8 + 11 = 19", "7 × 19 = 133", "5 × 133 = 665", "665 − 11 = 654", "3 × 654 = 1962", "1 + 1962 = 1963", "1 + 1963 = 1964"], "key": "year-1964-5♥J♦8♣J♣3♣A♠A♣7♦"} {"id": "train-year-0658", "level": "year", "target": 2032, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 2 + 4 + 9 * (13 - 4) * (12 + 13)", "solution_steps": ["13 − 4 = 9", "12 + 13 = 25", "9 × 25 = 225", "9 × 225 = 2025", "4 + 2025 = 2029", "2 + 2029 = 2031", "1 + 2031 = 2032"], "key": "year-2032-K♠Q♣K♥2♠4♥4♦A♣9♦"} {"id": "train-year-0659", "level": "year", "target": 2052, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 4 + 11 * (7 + 10 + 13 * 13)", "solution_steps": ["13 × 13 = 169", "10 + 169 = 179", "7 + 179 = 186", "11 × 186 = 2046", "4 + 2046 = 2050", "1 + 2050 = 2051", "1 + 2051 = 2052"], "key": "year-2052-A♠4♦J♥K♠7♣K♥10♣A♣"} {"id": "train-year-0660", "level": "year", "target": 2016, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "3 + 4 + 7 * (5 + 13) * (6 + 10) - 7", "solution_steps": ["5 + 13 = 18", "6 + 10 = 16", "18 × 16 = 288", "7 × 288 = 2016", "2016 − 7 = 2009", "4 + 2009 = 2013", "3 + 2013 = 2016"], "key": "year-2016-7♥4♠10♠6♦7♠3♠5♦K♣"} {"id": "train-year-0661", "level": "year", "target": 1942, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "3 + 7 + 11 * (10 + 12) + 10 * 13 * 13", "solution_steps": ["10 + 12 = 22", "11 × 22 = 242", "13 × 13 = 169", "10 × 169 = 1690", "242 + 1690 = 1932", "7 + 1932 = 1939", "3 + 1939 = 1942"], "key": "year-1942-7♦10♠K♠J♠Q♦10♥3♦K♦"} {"id": "train-year-0662", "level": "year", "target": 1936, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 1 + 9 + 5 * 11 * (11 + 3 * 8)", "solution_steps": ["3 × 8 = 24", "11 + 24 = 35", "11 × 35 = 385", "5 × 385 = 1925", "9 + 1925 = 1934", "1 + 1934 = 1935", "1 + 1935 = 1936"], "key": "year-1936-8♠A♦J♠3♠9♦A♠5♥J♣"} {"id": "train-year-0663", "level": "year", "target": 2065, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 2 + 13 * (7 + 8 * (7 + 12)) - 6", "solution_steps": ["7 + 12 = 19", "8 × 19 = 152", "7 + 152 = 159", "13 × 159 = 2067", "2067 − 6 = 2061", "2 + 2061 = 2063", "2 + 2063 = 2065"], "key": "year-2065-2♥8♠6♦7♦Q♠2♠K♠7♠"} {"id": "train-year-0664", "level": "year", "target": 1918, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 3 + 6 * 8 * (4 * 13 - 12) - 7", "solution_steps": ["4 × 13 = 52", "52 − 12 = 40", "8 × 40 = 320", "6 × 320 = 1920", "1920 − 7 = 1913", "3 + 1913 = 1916", "2 + 1916 = 1918"], "key": "year-1918-8♥2♠4♣3♥7♥Q♠6♦K♠"} {"id": "train-year-0665", "level": "year", "target": 2053, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 11 * (5 * 5 * 8 - 12) - 13 - 4", "solution_steps": ["5 × 8 = 40", "5 × 40 = 200", "200 − 12 = 188", "11 × 188 = 2068", "2068 − 13 = 2055", "2055 − 4 = 2051", "2 + 2051 = 2053"], "key": "year-2053-J♥5♠4♠5♣Q♠8♥K♥2♥"} {"id": "train-year-0666", "level": "year", "target": 1976, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 4 + 4 * 13 * (6 * 7 - 4) - 6", "solution_steps": ["6 × 7 = 42", "42 − 4 = 38", "13 × 38 = 494", "4 × 494 = 1976", "1976 − 6 = 1970", "4 + 1970 = 1974", "2 + 1974 = 1976"], "key": "year-1976-6♣4♠4♥2♣7♣K♠6♠4♣"} {"id": "train-year-0667", "level": "year", "target": 2098, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 2 + 7 + 8 * (9 + 12 * (10 + 11))", "solution_steps": ["10 + 11 = 21", "12 × 21 = 252", "9 + 252 = 261", "8 × 261 = 2088", "7 + 2088 = 2095", "2 + 2095 = 2097", "1 + 2097 = 2098"], "key": "year-2098-J♣2♦7♣Q♥8♣9♣10♦A♠"} {"id": "train-year-0668", "level": "year", "target": 1969, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 3 + 6 + (9 + 13) * (12 + 7 * 11)", "solution_steps": ["9 + 13 = 22", "7 × 11 = 77", "12 + 77 = 89", "22 × 89 = 1958", "6 + 1958 = 1964", "3 + 1964 = 1967", "2 + 1967 = 1969"], "key": "year-1969-6♣9♠3♦K♦J♣7♣2♠Q♦"} {"id": "train-year-0669", "level": "year", "target": 2093, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 1 * 4 * (3 + 5 * 13 * (10 - 2))", "solution_steps": ["10 − 2 = 8", "13 × 8 = 104", "5 × 104 = 520", "3 + 520 = 523", "4 × 523 = 2092", "1 × 2092 = 2092", "1 + 2092 = 2093"], "key": "year-2093-A♣10♣A♠2♥3♣4♥5♦K♥"} {"id": "train-year-0670", "level": "year", "target": 2060, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 12 * (4 + 12 * (4 + 10)) - 10 / 2", "solution_steps": ["4 + 10 = 14", "12 × 14 = 168", "4 + 168 = 172", "12 × 172 = 2064", "10 ÷ 2 = 5", "2064 − 5 = 2059", "1 + 2059 = 2060"], "key": "year-2060-10♣4♠2♣10♠A♠4♥Q♣Q♦"} {"id": "train-year-0671", "level": "year", "target": 1948, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 + 10 * (6 + 9 * (10 + 11)) - 6", "solution_steps": ["10 + 11 = 21", "9 × 21 = 189", "6 + 189 = 195", "10 × 195 = 1950", "1950 − 6 = 1944", "3 + 1944 = 1947", "1 + 1947 = 1948"], "key": "year-1948-10♣10♦A♦6♥6♣J♥9♥3♣"} {"id": "train-year-0672", "level": "year", "target": 1980, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 + 9 + 12 * (8 + 13 + 11 * 13)", "solution_steps": ["11 × 13 = 143", "13 + 143 = 156", "8 + 156 = 164", "12 × 164 = 1968", "9 + 1968 = 1977", "2 + 1977 = 1979", "1 + 1979 = 1980"], "key": "year-1980-2♣J♠K♥A♦Q♦9♦8♠K♠"} {"id": "train-year-0673", "level": "year", "target": 1902, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 3 + 4 * 6 * 8 * 10 - 12 - 11", "solution_steps": ["8 × 10 = 80", "6 × 80 = 480", "4 × 480 = 1920", "1920 − 12 = 1908", "1908 − 11 = 1897", "3 + 1897 = 1900", "2 + 1900 = 1902"], "key": "year-1902-3♦8♣10♥J♦Q♠6♥4♠2♠"} {"id": "train-year-0674", "level": "year", "target": 2009, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 3 + 4 * (9 + 12 * (6 * 9 - 13))", "solution_steps": ["6 × 9 = 54", "54 − 13 = 41", "12 × 41 = 492", "9 + 492 = 501", "4 × 501 = 2004", "3 + 2004 = 2007", "2 + 2007 = 2009"], "key": "year-2009-6♣9♥Q♥2♦4♣K♦3♦9♣"} {"id": "train-year-0675", "level": "year", "target": 2012, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "3 + 4 + 5 * (5 + 9 * 11 * (13 - 9))", "solution_steps": ["13 − 9 = 4", "11 × 4 = 44", "9 × 44 = 396", "5 + 396 = 401", "5 × 401 = 2005", "4 + 2005 = 2009", "3 + 2009 = 2012"], "key": "year-2012-5♣5♦9♥K♠9♦3♣J♦4♦"} {"id": "train-year-0676", "level": "year", "target": 1912, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 6 + 8 * (2 + 13 * (8 + 11) - 11)", "solution_steps": ["8 + 11 = 19", "13 × 19 = 247", "247 − 11 = 236", "2 + 236 = 238", "8 × 238 = 1904", "6 + 1904 = 1910", "2 + 1910 = 1912"], "key": "year-1912-J♦J♠2♥2♦8♣6♠8♦K♥"} {"id": "train-year-0677", "level": "year", "target": 1993, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 5 + 13 + 9 * 10 * (10 + 12) - 6", "solution_steps": ["10 + 12 = 22", "10 × 22 = 220", "9 × 220 = 1980", "13 + 1980 = 1993", "1993 − 6 = 1987", "5 + 1987 = 1992", "1 + 1992 = 1993"], "key": "year-1993-6♥5♠10♣9♣10♦Q♣K♦A♥"} {"id": "train-year-0678", "level": "year", "target": 2055, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 3 + 4 + 11 * (11 * (8 + 10) - 12)", "solution_steps": ["8 + 10 = 18", "11 × 18 = 198", "198 − 12 = 186", "11 × 186 = 2046", "4 + 2046 = 2050", "3 + 2050 = 2053", "2 + 2053 = 2055"], "key": "year-2055-J♠2♥4♣Q♣8♥J♦3♥10♣"} {"id": "train-year-0679", "level": "year", "target": 1940, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "3 + 4 * (12 - 7) * (8 * 13 - 7) - 3", "solution_steps": ["12 − 7 = 5", "8 × 13 = 104", "104 − 7 = 97", "5 × 97 = 485", "4 × 485 = 1940", "1940 − 3 = 1937", "3 + 1937 = 1940"], "key": "year-1940-Q♥4♥3♥7♦K♥3♠8♥7♣"} {"id": "train-year-0680", "level": "year", "target": 2063, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 2 * (5 * 9 * (4 * 7 - 5) - 4)", "solution_steps": ["4 × 7 = 28", "28 − 5 = 23", "9 × 23 = 207", "5 × 207 = 1035", "1035 − 4 = 1031", "2 × 1031 = 2062", "1 + 2062 = 2063"], "key": "year-2063-5♥4♣A♠2♣9♠4♥5♦7♥"} {"id": "train-year-0681", "level": "year", "target": 1995, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 3 + 5 + 5 + 12 * (13 * 13 - 4)", "solution_steps": ["13 × 13 = 169", "169 − 4 = 165", "12 × 165 = 1980", "5 + 1980 = 1985", "5 + 1985 = 1990", "3 + 1990 = 1993", "2 + 1993 = 1995"], "key": "year-1995-Q♣K♠2♦5♠5♦4♠K♥3♥"} {"id": "train-year-0682", "level": "year", "target": 1935, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "4 + 6 + (8 + 8) * (4 + 9 * 13) - 11", "solution_steps": ["8 + 8 = 16", "9 × 13 = 117", "4 + 117 = 121", "16 × 121 = 1936", "1936 − 11 = 1925", "6 + 1925 = 1931", "4 + 1931 = 1935"], "key": "year-1935-4♠8♠4♦9♠J♠8♥K♣6♥"} {"id": "train-year-0683", "level": "year", "target": 1997, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 2 * 2 * (3 + 4 * (7 + 9 * 13))", "solution_steps": ["9 × 13 = 117", "7 + 117 = 124", "4 × 124 = 496", "3 + 496 = 499", "2 × 499 = 998", "2 × 998 = 1996", "1 + 1996 = 1997"], "key": "year-1997-3♥2♣7♦2♠4♣A♠K♦9♦"} {"id": "train-year-0684", "level": "year", "target": 1993, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "2 + 3 + 7 * (8 - 6) * (10 + 11 * 12)", "solution_steps": ["8 − 6 = 2", "11 × 12 = 132", "10 + 132 = 142", "2 × 142 = 284", "7 × 284 = 1988", "3 + 1988 = 1991", "2 + 1991 = 1993"], "key": "year-1993-2♠6♦10♠8♠7♠Q♠3♣J♦"} {"id": "train-year-0685", "level": "year", "target": 2019, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 2 + 2 * 7 * 8 * (3 * 8 - 6)", "solution_steps": ["3 × 8 = 24", "24 − 6 = 18", "8 × 18 = 144", "7 × 144 = 1008", "2 × 1008 = 2016", "2 + 2016 = 2018", "1 + 2018 = 2019"], "key": "year-2019-2♣A♥6♥2♠8♥7♣8♣3♣"} {"id": "train-year-0686", "level": "year", "target": 1946, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 4 + 7 * (7 * (4 * 13 - 11) - 10)", "solution_steps": ["4 × 13 = 52", "52 − 11 = 41", "7 × 41 = 287", "287 − 10 = 277", "7 × 277 = 1939", "4 + 1939 = 1943", "3 + 1943 = 1946"], "key": "year-1946-K♣3♠4♦J♦7♣7♥4♠10♥"} {"id": "train-year-0687", "level": "year", "target": 1959, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 6 + 8 * (9 * 11 + 12 * 13 - 11)", "solution_steps": ["9 × 11 = 99", "12 × 13 = 156", "99 + 156 = 255", "255 − 11 = 244", "8 × 244 = 1952", "6 + 1952 = 1958", "1 + 1958 = 1959"], "key": "year-1959-K♥J♦6♣8♠A♣J♣9♦Q♣"} {"id": "train-year-0688", "level": "year", "target": 1916, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 + 4 + 9 + 5 * (7 + 13) * (8 + 11)", "solution_steps": ["7 + 13 = 20", "8 + 11 = 19", "20 × 19 = 380", "5 × 380 = 1900", "9 + 1900 = 1909", "4 + 1909 = 1913", "3 + 1913 = 1916"], "key": "year-1916-J♠5♦9♣3♣K♣4♠8♥7♥"} {"id": "train-year-0689", "level": "year", "target": 1915, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 2 + 7 * 7 * (9 * (13 - 8) - 6)", "solution_steps": ["13 − 8 = 5", "9 × 5 = 45", "45 − 6 = 39", "7 × 39 = 273", "7 × 273 = 1911", "2 + 1911 = 1913", "2 + 1913 = 1915"], "key": "year-1915-7♥2♦9♣7♦K♦8♠6♣2♠"} {"id": "train-year-0690", "level": "year", "target": 1913, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 2 * (12 * (3 + 13) * (9 - 4) - 4)", "solution_steps": ["3 + 13 = 16", "9 − 4 = 5", "16 × 5 = 80", "12 × 80 = 960", "960 − 4 = 956", "2 × 956 = 1912", "1 + 1912 = 1913"], "key": "year-1913-K♥4♥3♥Q♦4♠2♠A♦9♥"} {"id": "train-year-0691", "level": "year", "target": 2068, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 7 * 8 * (11 + 12 * 13 / 6) - 6", "solution_steps": ["12 × 13 = 156", "156 ÷ 6 = 26", "11 + 26 = 37", "8 × 37 = 296", "7 × 296 = 2072", "2072 − 6 = 2066", "2 + 2066 = 2068"], "key": "year-2068-K♣7♦8♣Q♥6♣J♠6♠2♣"} {"id": "train-year-0692", "level": "year", "target": 1920, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 1 + 3 * 6 * (9 * 13 - 10) - 8", "solution_steps": ["9 × 13 = 117", "117 − 10 = 107", "6 × 107 = 642", "3 × 642 = 1926", "1926 − 8 = 1918", "1 + 1918 = 1919", "1 + 1919 = 1920"], "key": "year-1920-3♠A♦8♥10♦9♦6♣A♥K♠"} {"id": "train-year-0693", "level": "year", "target": 1904, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "4 + 5 + 5 + (8 + 13) * (6 + 7 * 12)", "solution_steps": ["8 + 13 = 21", "7 × 12 = 84", "6 + 84 = 90", "21 × 90 = 1890", "5 + 1890 = 1895", "5 + 1895 = 1900", "4 + 1900 = 1904"], "key": "year-1904-8♠K♦6♦5♦5♣4♣Q♠7♥"} {"id": "train-year-0694", "level": "year", "target": 2004, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 5 + 9 + 11 * 13 * (6 + 8) - 13", "solution_steps": ["6 + 8 = 14", "13 × 14 = 182", "11 × 182 = 2002", "2002 − 13 = 1989", "9 + 1989 = 1998", "5 + 1998 = 2003", "1 + 2003 = 2004"], "key": "year-2004-5♥8♥J♥9♣6♠K♦A♣K♣"} {"id": "train-year-0695", "level": "year", "target": 2094, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 3 + 10 + 8 * (9 * 13 + 11 * 13)", "solution_steps": ["9 × 13 = 117", "11 × 13 = 143", "117 + 143 = 260", "8 × 260 = 2080", "10 + 2080 = 2090", "3 + 2090 = 2093", "1 + 2093 = 2094"], "key": "year-2094-8♦J♣3♣K♦9♣A♣10♥K♠"} {"id": "train-year-0696", "level": "year", "target": 1929, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "5 + 5 + 6 + 13 * (12 * 13 - 8) - 11", "solution_steps": ["12 × 13 = 156", "156 − 8 = 148", "13 × 148 = 1924", "1924 − 11 = 1913", "6 + 1913 = 1919", "5 + 1919 = 1924", "5 + 1924 = 1929"], "key": "year-1929-5♦Q♣5♣K♦K♥J♣8♦6♣"} {"id": "train-year-0697", "level": "year", "target": 1945, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 3 + 13 + 11 * 11 * (7 + 9) - 8", "solution_steps": ["7 + 9 = 16", "11 × 16 = 176", "11 × 176 = 1936", "13 + 1936 = 1949", "1949 − 8 = 1941", "3 + 1941 = 1944", "1 + 1944 = 1945"], "key": "year-1945-3♣J♥A♦8♦9♣7♦J♠K♠"} {"id": "train-year-0698", "level": "year", "target": 2075, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 3 + 5 * 9 * (4 * 13 - 3 - 3)", "solution_steps": ["4 × 13 = 52", "52 − 3 = 49", "49 − 3 = 46", "9 × 46 = 414", "5 × 414 = 2070", "3 + 2070 = 2073", "2 + 2073 = 2075"], "key": "year-2075-3♣5♦3♠9♠2♠4♦3♦K♦"} {"id": "train-year-0699", "level": "year", "target": 2036, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 8 * 8 * (10 * (10 - 6) - 8) - 13", "solution_steps": ["10 − 6 = 4", "10 × 4 = 40", "40 − 8 = 32", "8 × 32 = 256", "8 × 256 = 2048", "2048 − 13 = 2035", "1 + 2035 = 2036"], "key": "year-2036-10♣8♥10♥8♣8♦6♠K♥A♠"} {"id": "train-year-0700", "level": "year", "target": 1920, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 4 + 9 * 10 + 8 * 12 * (6 + 13)", "solution_steps": ["9 × 10 = 90", "6 + 13 = 19", "12 × 19 = 228", "8 × 228 = 1824", "90 + 1824 = 1914", "4 + 1914 = 1918", "2 + 1918 = 1920"], "key": "year-1920-4♦2♥Q♠9♣K♠8♦6♥10♦"} {"id": "train-year-0701", "level": "year", "target": 2025, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + (3 + 9) * (6 + 7) * (6 + 7) - 4", "solution_steps": ["3 + 9 = 12", "6 + 7 = 13", "6 + 7 = 13", "13 × 13 = 169", "12 × 169 = 2028", "2028 − 4 = 2024", "1 + 2024 = 2025"], "key": "year-2025-6♣7♠3♣6♠7♥9♥4♦A♠"} {"id": "train-year-0702", "level": "year", "target": 2009, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 4 + 7 * 12 * (5 + 6 + 13) - 12", "solution_steps": ["6 + 13 = 19", "5 + 19 = 24", "12 × 24 = 288", "7 × 288 = 2016", "2016 − 12 = 2004", "4 + 2004 = 2008", "1 + 2008 = 2009"], "key": "year-2009-Q♣5♥Q♥7♥6♥4♣A♥K♦"} {"id": "train-year-0703", "level": "year", "target": 2026, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "4 + 5 + 10 * (10 * (8 + 13) - 7) - 13", "solution_steps": ["8 + 13 = 21", "10 × 21 = 210", "210 − 7 = 203", "10 × 203 = 2030", "2030 − 13 = 2017", "5 + 2017 = 2022", "4 + 2022 = 2026"], "key": "year-2026-K♦10♠5♥8♥10♣7♠4♦K♠"} {"id": "train-year-0704", "level": "year", "target": 2035, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 * (4 * 8 + 7 * 13 * (9 + 13))", "solution_steps": ["4 × 8 = 32", "9 + 13 = 22", "13 × 22 = 286", "7 × 286 = 2002", "32 + 2002 = 2034", "1 × 2034 = 2034", "1 + 2034 = 2035"], "key": "year-2035-8♥K♣A♠7♠9♦4♠K♠A♦"} {"id": "train-year-0705", "level": "year", "target": 2075, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 6 * (6 + 4 * (7 * 13 - 6)) - 3", "solution_steps": ["7 × 13 = 91", "91 − 6 = 85", "4 × 85 = 340", "6 + 340 = 346", "6 × 346 = 2076", "2076 − 3 = 2073", "2 + 2073 = 2075"], "key": "year-2075-6♥2♥4♠7♣K♣3♦6♦6♣"} {"id": "train-year-0706", "level": "year", "target": 1943, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 * (4 + 7 * (8 * 12 - 4)) - 3", "solution_steps": ["8 × 12 = 96", "96 − 4 = 92", "7 × 92 = 644", "4 + 644 = 648", "3 × 648 = 1944", "1944 − 3 = 1941", "2 + 1941 = 1943"], "key": "year-1943-4♥3♥Q♥8♥4♠2♣7♠3♦"} {"id": "train-year-0707", "level": "year", "target": 1982, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 3 + 9 + 10 * 11 * (5 + 13) - 11", "solution_steps": ["5 + 13 = 18", "11 × 18 = 198", "10 × 198 = 1980", "1980 − 11 = 1969", "9 + 1969 = 1978", "3 + 1978 = 1981", "1 + 1981 = 1982"], "key": "year-1982-A♥10♥K♦3♥5♦9♣J♥J♣"} {"id": "train-year-0708", "level": "year", "target": 2022, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 13 + 10 * (9 + 4 * 6 * 8) - 3", "solution_steps": ["6 × 8 = 48", "4 × 48 = 192", "9 + 192 = 201", "10 × 201 = 2010", "13 + 2010 = 2023", "2023 − 3 = 2020", "2 + 2020 = 2022"], "key": "year-2022-8♣2♠6♠3♥9♦10♣4♣K♠"} {"id": "train-year-0709", "level": "year", "target": 2057, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 + 6 * 8 * (7 * 8 - 13) - 12", "solution_steps": ["7 × 8 = 56", "56 − 13 = 43", "8 × 43 = 344", "6 × 344 = 2064", "2064 − 12 = 2052", "3 + 2052 = 2055", "2 + 2055 = 2057"], "key": "year-2057-8♥8♠7♥2♥Q♦6♣K♠3♦"} {"id": "train-year-0710", "level": "year", "target": 2031, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 4 + 4 + 6 + 3 * 7 * 8 * 12", "solution_steps": ["8 × 12 = 96", "7 × 96 = 672", "3 × 672 = 2016", "6 + 2016 = 2022", "4 + 2022 = 2026", "4 + 2026 = 2030", "1 + 2030 = 2031"], "key": "year-2031-4♥Q♦7♥8♦3♦6♦A♦4♠"} {"id": "train-year-0711", "level": "year", "target": 2021, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 7 * 10 * (11 + 9 * (11 - 9)) - 11", "solution_steps": ["11 − 9 = 2", "9 × 2 = 18", "11 + 18 = 29", "10 × 29 = 290", "7 × 290 = 2030", "2030 − 11 = 2019", "2 + 2019 = 2021"], "key": "year-2021-9♠J♦7♥J♣10♠9♣2♥J♠"} {"id": "train-year-0712", "level": "year", "target": 2051, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 4 + 5 + 12 * (7 * (12 + 13) - 5)", "solution_steps": ["12 + 13 = 25", "7 × 25 = 175", "175 − 5 = 170", "12 × 170 = 2040", "5 + 2040 = 2045", "4 + 2045 = 2049", "2 + 2049 = 2051"], "key": "year-2051-4♣2♠5♣Q♠5♠Q♦K♣7♦"} {"id": "train-year-0713", "level": "year", "target": 2032, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 5 + 10 + 12 * (9 * (9 + 11) - 12)", "solution_steps": ["9 + 11 = 20", "9 × 20 = 180", "180 − 12 = 168", "12 × 168 = 2016", "10 + 2016 = 2026", "5 + 2026 = 2031", "1 + 2031 = 2032"], "key": "year-2032-9♥A♦5♠Q♠9♣10♣J♥Q♥"} {"id": "train-year-0714", "level": "year", "target": 1939, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 3 + 9 * 12 * (7 + 11) - 5 - 5", "solution_steps": ["7 + 11 = 18", "12 × 18 = 216", "9 × 216 = 1944", "1944 − 5 = 1939", "1939 − 5 = 1934", "3 + 1934 = 1937", "2 + 1937 = 1939"], "key": "year-1939-2♣Q♦5♣J♣7♣5♥3♥9♥"} {"id": "train-year-0715", "level": "year", "target": 2092, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + (3 * (9 * 12 * 13 - 8) - 6) / 2", "solution_steps": ["12 × 13 = 156", "9 × 156 = 1404", "1404 − 8 = 1396", "3 × 1396 = 4188", "4188 − 6 = 4182", "4182 ÷ 2 = 2091", "1 + 2091 = 2092"], "key": "year-2092-Q♣K♦8♥A♣6♣2♦9♣3♦"} {"id": "train-year-0716", "level": "year", "target": 1937, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 3 + 3 * (4 + 8 * 10 * (11 - 3))", "solution_steps": ["11 − 3 = 8", "10 × 8 = 80", "8 × 80 = 640", "4 + 640 = 644", "3 × 644 = 1932", "3 + 1932 = 1935", "2 + 1935 = 1937"], "key": "year-1937-3♦10♠8♥3♣3♠2♣4♣J♥"} {"id": "train-year-0717", "level": "year", "target": 1930, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 6 + 13 * (12 * 13 - 7) - 10 - 5", "solution_steps": ["12 × 13 = 156", "156 − 7 = 149", "13 × 149 = 1937", "1937 − 10 = 1927", "6 + 1927 = 1933", "1933 − 5 = 1928", "2 + 1928 = 1930"], "key": "year-1930-Q♠K♠K♦5♥10♦6♠7♣2♥"} {"id": "train-year-0718", "level": "year", "target": 2001, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "6 + 6 + 13 * (11 * (7 + 7) - 12 / 12)", "solution_steps": ["7 + 7 = 14", "11 × 14 = 154", "12 ÷ 12 = 1", "154 − 1 = 153", "13 × 153 = 1989", "6 + 1989 = 1995", "6 + 1995 = 2001"], "key": "year-2001-6♠7♠Q♠Q♦J♦K♦7♣6♦"} {"id": "train-year-0719", "level": "year", "target": 1933, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + (10 + 6 * 6 * (10 * 11 - 3)) / 2", "solution_steps": ["10 × 11 = 110", "110 − 3 = 107", "6 × 107 = 642", "6 × 642 = 3852", "10 + 3852 = 3862", "3862 ÷ 2 = 1931", "2 + 1931 = 1933"], "key": "year-1933-10♥J♥2♥3♦2♠6♥10♠6♦"} {"id": "train-year-0720", "level": "year", "target": 1969, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 11 * (12 * (7 + 9) - 13) - 5", "solution_steps": ["7 + 9 = 16", "12 × 16 = 192", "192 − 13 = 179", "11 × 179 = 1969", "1969 − 5 = 1964", "3 + 1964 = 1967", "2 + 1967 = 1969"], "key": "year-1969-K♠7♦2♦5♥Q♥J♥9♠3♠"} {"id": "train-year-0721", "level": "year", "target": 2088, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 2 + 3 * (11 * (7 * 11 - 13) - 9)", "solution_steps": ["7 × 11 = 77", "77 − 13 = 64", "11 × 64 = 704", "704 − 9 = 695", "3 × 695 = 2085", "2 + 2085 = 2087", "1 + 2087 = 2088"], "key": "year-2088-7♥J♥2♣J♣A♠3♠9♥K♣"} {"id": "train-year-0722", "level": "year", "target": 2021, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 1 * 4 * (7 * (13 + 6 * 10) - 6)", "solution_steps": ["6 × 10 = 60", "13 + 60 = 73", "7 × 73 = 511", "511 − 6 = 505", "4 × 505 = 2020", "1 × 2020 = 2020", "1 + 2020 = 2021"], "key": "year-2021-6♠A♠10♠4♦K♣7♥A♣6♣"} {"id": "train-year-0723", "level": "year", "target": 2042, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 * 4 * (4 + 6 * 6 * 7) - 5 - 1", "solution_steps": ["6 × 7 = 42", "6 × 42 = 252", "4 + 252 = 256", "4 × 256 = 1024", "2 × 1024 = 2048", "2048 − 5 = 2043", "2043 − 1 = 2042"], "key": "year-2042-2♦A♣7♣5♥6♥4♥6♠4♣"} {"id": "train-year-0724", "level": "year", "target": 1965, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 4 * (6 * 12 * (1 + 6) - 12) - 4", "solution_steps": ["1 + 6 = 7", "12 × 7 = 84", "6 × 84 = 504", "504 − 12 = 492", "4 × 492 = 1968", "1968 − 4 = 1964", "1 + 1964 = 1965"], "key": "year-1965-A♥A♣4♦4♣6♦Q♥6♣Q♦"} {"id": "train-year-0725", "level": "year", "target": 2011, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 9 * (7 + 10) + 11 * 13 * 13 - 3", "solution_steps": ["7 + 10 = 17", "9 × 17 = 153", "13 × 13 = 169", "11 × 169 = 1859", "153 + 1859 = 2012", "2012 − 3 = 2009", "2 + 2009 = 2011"], "key": "year-2011-2♠3♦K♥K♦9♠7♥J♥10♣"} {"id": "train-year-0726", "level": "year", "target": 1938, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 + 9 * (11 + 6 * (3 * 13 - 5))", "solution_steps": ["3 × 13 = 39", "39 − 5 = 34", "6 × 34 = 204", "11 + 204 = 215", "9 × 215 = 1935", "2 + 1935 = 1937", "1 + 1937 = 1938"], "key": "year-1938-5♦K♦9♦A♥3♠J♦6♦2♥"} {"id": "train-year-0727", "level": "year", "target": 1942, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 3 + 6 * (11 + 13 * (5 + 9 + 10))", "solution_steps": ["9 + 10 = 19", "5 + 19 = 24", "13 × 24 = 312", "11 + 312 = 323", "6 × 323 = 1938", "3 + 1938 = 1941", "1 + 1941 = 1942"], "key": "year-1942-J♥3♠K♣10♣A♥9♣6♥5♥"} {"id": "train-year-0728", "level": "year", "target": 2083, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 3 + 3 * (11 + 11 * (10 + 4 * 13))", "solution_steps": ["4 × 13 = 52", "10 + 52 = 62", "11 × 62 = 682", "11 + 682 = 693", "3 × 693 = 2079", "3 + 2079 = 2082", "1 + 2082 = 2083"], "key": "year-2083-10♣J♣J♦4♠3♥3♠A♠K♦"} {"id": "train-year-0729", "level": "year", "target": 2009, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 6 * (11 + 4 * (9 + 8 * 9)) - 2", "solution_steps": ["8 × 9 = 72", "9 + 72 = 81", "4 × 81 = 324", "11 + 324 = 335", "6 × 335 = 2010", "2010 − 2 = 2008", "1 + 2008 = 2009"], "key": "year-2009-A♠8♦9♥6♣9♠J♣2♦4♦"} {"id": "train-year-0730", "level": "year", "target": 2038, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 13 + 12 * 13 * 13 - 10 / 5 - 2", "solution_steps": ["13 × 13 = 169", "12 × 169 = 2028", "10 ÷ 5 = 2", "2028 − 2 = 2026", "13 + 2026 = 2039", "2039 − 2 = 2037", "1 + 2037 = 2038"], "key": "year-2038-10♠5♣K♠2♦A♣K♥Q♠K♣"} {"id": "train-year-0731", "level": "year", "target": 2028, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + 12 + 11 * (5 * 8 + 11 * 13)", "solution_steps": ["5 × 8 = 40", "11 × 13 = 143", "40 + 143 = 183", "11 × 183 = 2013", "12 + 2013 = 2025", "2 + 2025 = 2027", "1 + 2027 = 2028"], "key": "year-2028-2♥K♦J♣A♠8♠5♠J♦Q♠"} {"id": "train-year-0732", "level": "year", "target": 2005, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "2 + 3 + 5 * 5 * (4 * (11 + 12) - 12)", "solution_steps": ["11 + 12 = 23", "4 × 23 = 92", "92 − 12 = 80", "5 × 80 = 400", "5 × 400 = 2000", "3 + 2000 = 2003", "2 + 2003 = 2005"], "key": "year-2005-J♥2♠4♥Q♠3♣5♣Q♣5♠"} {"id": "train-year-0733", "level": "year", "target": 2017, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 2 + (6 + 4 * 8) * (7 * 9 - 10)", "solution_steps": ["4 × 8 = 32", "6 + 32 = 38", "7 × 9 = 63", "63 − 10 = 53", "38 × 53 = 2014", "2 + 2014 = 2016", "1 + 2016 = 2017"], "key": "year-2017-6♥7♥10♥4♣2♣9♠A♣8♣"} {"id": "train-year-0734", "level": "year", "target": 2020, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 7 + 8 * (12 * (9 + 13) - 11) - 12", "solution_steps": ["9 + 13 = 22", "12 × 22 = 264", "264 − 11 = 253", "8 × 253 = 2024", "2024 − 12 = 2012", "7 + 2012 = 2019", "1 + 2019 = 2020"], "key": "year-2020-J♥8♥Q♣9♠Q♦7♦K♣A♦"} {"id": "train-year-0735", "level": "year", "target": 1911, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 8 * (9 + 11 * (9 + 12)) - 7 - 4", "solution_steps": ["9 + 12 = 21", "11 × 21 = 231", "9 + 231 = 240", "8 × 240 = 1920", "1920 − 7 = 1913", "1913 − 4 = 1909", "2 + 1909 = 1911"], "key": "year-1911-9♠J♥8♥9♦2♦7♠4♠Q♦"} {"id": "train-year-0736", "level": "year", "target": 1963, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 4 + (8 + 11) * (8 * (4 + 10) - 9)", "solution_steps": ["8 + 11 = 19", "4 + 10 = 14", "8 × 14 = 112", "112 − 9 = 103", "19 × 103 = 1957", "4 + 1957 = 1961", "2 + 1961 = 1963"], "key": "year-1963-4♠2♥9♠10♥8♦8♥J♠4♣"} {"id": "train-year-0737", "level": "year", "target": 1977, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 3 + 12 + 10 * (5 * 5 * 8 - 4)", "solution_steps": ["5 × 8 = 40", "5 × 40 = 200", "200 − 4 = 196", "10 × 196 = 1960", "12 + 1960 = 1972", "3 + 1972 = 1975", "2 + 1975 = 1977"], "key": "year-1977-8♣3♠Q♣5♠10♠5♥4♣2♥"} {"id": "train-year-0738", "level": "year", "target": 1945, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 3 + 5 * (8 + 5 * 6 * 13 - 10)", "solution_steps": ["6 × 13 = 78", "5 × 78 = 390", "390 − 10 = 380", "8 + 380 = 388", "5 × 388 = 1940", "3 + 1940 = 1943", "2 + 1943 = 1945"], "key": "year-1945-5♣6♣5♠3♣K♣10♥2♥8♥"} {"id": "train-year-0739", "level": "year", "target": 2019, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 + 3 * 6 * (8 + 4 * (13 + 13))", "solution_steps": ["13 + 13 = 26", "4 × 26 = 104", "8 + 104 = 112", "6 × 112 = 672", "3 × 672 = 2016", "2 + 2016 = 2018", "1 + 2018 = 2019"], "key": "year-2019-4♠8♣2♥K♥6♣3♣A♣K♠"} {"id": "train-year-0740", "level": "year", "target": 1991, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "4 + 10 + (9 - 6) * (9 + 5 * 10 * 13)", "solution_steps": ["9 − 6 = 3", "10 × 13 = 130", "5 × 130 = 650", "9 + 650 = 659", "3 × 659 = 1977", "10 + 1977 = 1987", "4 + 1987 = 1991"], "key": "year-1991-9♥5♣10♥10♠K♦4♦9♦6♠"} {"id": "train-year-0741", "level": "year", "target": 1921, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + (6 - 4) * (9 * 9 * 12 - 11) - 2", "solution_steps": ["6 − 4 = 2", "9 × 12 = 108", "9 × 108 = 972", "972 − 11 = 961", "2 × 961 = 1922", "1922 − 2 = 1920", "1 + 1920 = 1921"], "key": "year-1921-6♠Q♣4♣J♣2♦9♣A♥9♥"} {"id": "train-year-0742", "level": "year", "target": 2051, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "6 + 6 + 9 + 10 * (11 + 8 * (12 + 12))", "solution_steps": ["12 + 12 = 24", "8 × 24 = 192", "11 + 192 = 203", "10 × 203 = 2030", "9 + 2030 = 2039", "6 + 2039 = 2045", "6 + 2045 = 2051"], "key": "year-2051-6♥6♦9♦Q♣8♦Q♠10♦J♥"} {"id": "train-year-0743", "level": "year", "target": 1976, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "6 + 13 * (10 + 11 + 11 * 12) - 12 - 7", "solution_steps": ["11 × 12 = 132", "11 + 132 = 143", "10 + 143 = 153", "13 × 153 = 1989", "1989 − 12 = 1977", "1977 − 7 = 1970", "6 + 1970 = 1976"], "key": "year-1976-K♥Q♠6♥J♦Q♣J♣10♠7♣"} {"id": "train-year-0744", "level": "year", "target": 1921, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 6 * 10 * (8 + 4 * 6) - 4 / 4", "solution_steps": ["4 × 6 = 24", "8 + 24 = 32", "10 × 32 = 320", "6 × 320 = 1920", "4 ÷ 4 = 1", "1920 − 1 = 1919", "2 + 1919 = 1921"], "key": "year-1921-8♥6♠6♣2♣4♠4♥4♦10♥"} {"id": "train-year-0745", "level": "year", "target": 1994, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + (6 + 9) * (8 * (5 + 13) - 11) - 4", "solution_steps": ["6 + 9 = 15", "5 + 13 = 18", "8 × 18 = 144", "144 − 11 = 133", "15 × 133 = 1995", "1995 − 4 = 1991", "3 + 1991 = 1994"], "key": "year-1994-8♣5♠3♠9♠K♣4♦J♥6♥"} {"id": "train-year-0746", "level": "year", "target": 1945, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 3 + (7 + 13) * (3 + 13 + 9 * 9)", "solution_steps": ["7 + 13 = 20", "9 × 9 = 81", "13 + 81 = 94", "3 + 94 = 97", "20 × 97 = 1940", "3 + 1940 = 1943", "2 + 1943 = 1945"], "key": "year-1945-K♥K♠9♣9♦7♥3♥3♣2♥"} {"id": "train-year-0747", "level": "year", "target": 2099, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 5 * 10 * (5 + 5 * 10 - 13) - 2", "solution_steps": ["5 × 10 = 50", "50 − 13 = 37", "5 + 37 = 42", "10 × 42 = 420", "5 × 420 = 2100", "2100 − 2 = 2098", "1 + 2098 = 2099"], "key": "year-2099-5♦2♦10♠5♠10♦K♥A♣5♣"} {"id": "train-year-0748", "level": "year", "target": 2096, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 13 + 6 * 6 * (10 + 4 * 12) - 8", "solution_steps": ["4 × 12 = 48", "10 + 48 = 58", "6 × 58 = 348", "6 × 348 = 2088", "13 + 2088 = 2101", "2101 − 8 = 2093", "3 + 2093 = 2096"], "key": "year-2096-K♣3♦6♣Q♥6♠4♣8♠10♥"} {"id": "train-year-0749", "level": "year", "target": 1915, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 1 + 3 + 10 * (12 * (6 + 11) - 13)", "solution_steps": ["6 + 11 = 17", "12 × 17 = 204", "204 − 13 = 191", "10 × 191 = 1910", "3 + 1910 = 1913", "1 + 1913 = 1914", "1 + 1914 = 1915"], "key": "year-1915-A♠Q♠6♦J♣K♥10♦A♣3♥"} {"id": "train-year-0750", "level": "year", "target": 2051, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 3 + 4 * 8 * (7 * 11 - 13) - 2", "solution_steps": ["7 × 11 = 77", "77 − 13 = 64", "8 × 64 = 512", "4 × 512 = 2048", "3 + 2048 = 2051", "2051 − 2 = 2049", "2 + 2049 = 2051"], "key": "year-2051-4♥2♠K♥3♦7♥8♣2♣J♣"} {"id": "train-year-0751", "level": "year", "target": 2031, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 + 3 + 10 + 7 * 8 * 12 * 12 / 4", "solution_steps": ["12 × 12 = 144", "8 × 144 = 1152", "7 × 1152 = 8064", "8064 ÷ 4 = 2016", "10 + 2016 = 2026", "3 + 2026 = 2029", "2 + 2029 = 2031"], "key": "year-2031-7♠Q♦Q♠10♠2♥3♠8♣4♠"} {"id": "train-year-0752", "level": "year", "target": 2077, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + 5 + 11 * (8 + 9 * (7 + 13))", "solution_steps": ["7 + 13 = 20", "9 × 20 = 180", "8 + 180 = 188", "11 × 188 = 2068", "5 + 2068 = 2073", "2 + 2073 = 2075", "2 + 2075 = 2077"], "key": "year-2077-7♥9♣J♥K♠5♠8♥2♣2♥"} {"id": "train-year-0753", "level": "year", "target": 1999, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 4 + 8 + 13 * (10 + 11 * 13) - 4", "solution_steps": ["11 × 13 = 143", "10 + 143 = 153", "13 × 153 = 1989", "8 + 1989 = 1997", "1997 − 4 = 1993", "4 + 1993 = 1997", "2 + 1997 = 1999"], "key": "year-1999-10♦K♦4♣4♠8♥J♠2♦K♣"} {"id": "train-year-0754", "level": "year", "target": 2042, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 4 * 7 * (9 * 10 - 12 - 5) - 4", "solution_steps": ["9 × 10 = 90", "90 − 12 = 78", "78 − 5 = 73", "7 × 73 = 511", "4 × 511 = 2044", "2044 − 4 = 2040", "2 + 2040 = 2042"], "key": "year-2042-4♣2♥Q♥4♥5♠7♠9♣10♦"} {"id": "train-year-0755", "level": "year", "target": 1979, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 3 * 12 * (2 + 9) * (12 - 7) - 2", "solution_steps": ["2 + 9 = 11", "12 − 7 = 5", "11 × 5 = 55", "12 × 55 = 660", "3 × 660 = 1980", "1980 − 2 = 1978", "1 + 1978 = 1979"], "key": "year-1979-2♥7♣2♦Q♦Q♥3♥9♥A♦"} {"id": "train-year-0756", "level": "year", "target": 1961, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 12 * (11 + 9 * (6 + 11)) - 5 - 4", "solution_steps": ["6 + 11 = 17", "9 × 17 = 153", "11 + 153 = 164", "12 × 164 = 1968", "1968 − 5 = 1963", "1963 − 4 = 1959", "2 + 1959 = 1961"], "key": "year-1961-2♠9♦6♥5♥J♦Q♣4♣J♣"} {"id": "train-year-0757", "level": "year", "target": 1985, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 4 + (8 + 8) * (10 * 13 - 6) - 4", "solution_steps": ["8 + 8 = 16", "10 × 13 = 130", "130 − 6 = 124", "16 × 124 = 1984", "1984 − 4 = 1980", "4 + 1980 = 1984", "1 + 1984 = 1985"], "key": "year-1985-8♠8♣6♣4♥10♣A♦4♠K♥"} {"id": "train-year-0758", "level": "year", "target": 2087, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 2 + 9 * (11 + 13 * (7 + 10)) - 4", "solution_steps": ["7 + 10 = 17", "13 × 17 = 221", "11 + 221 = 232", "9 × 232 = 2088", "2088 − 4 = 2084", "2 + 2084 = 2086", "1 + 2086 = 2087"], "key": "year-2087-4♥K♥7♣A♦J♥10♦2♦9♥"} {"id": "train-year-0759", "level": "year", "target": 1923, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 7 * (4 * (7 + 8 * 8) - 9) - 3", "solution_steps": ["8 × 8 = 64", "7 + 64 = 71", "4 × 71 = 284", "284 − 9 = 275", "7 × 275 = 1925", "1925 − 3 = 1922", "1 + 1922 = 1923"], "key": "year-1923-7♥7♠3♠8♦A♠8♣9♦4♠"} {"id": "train-year-0760", "level": "year", "target": 2059, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 3 + 3 * (11 - 6) * (11 * 13 - 6)", "solution_steps": ["11 − 6 = 5", "11 × 13 = 143", "143 − 6 = 137", "5 × 137 = 685", "3 × 685 = 2055", "3 + 2055 = 2058", "1 + 2058 = 2059"], "key": "year-2059-3♥6♥A♦6♠J♣J♥3♠K♠"} {"id": "train-year-0761", "level": "year", "target": 2078, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 4 * 4 * 13 * (3 + 9 - 2) - 3", "solution_steps": ["3 + 9 = 12", "12 − 2 = 10", "13 × 10 = 130", "4 × 130 = 520", "4 × 520 = 2080", "2080 − 3 = 2077", "1 + 2077 = 2078"], "key": "year-2078-9♦3♣4♣3♦2♠A♣K♦4♥"} {"id": "train-year-0762", "level": "year", "target": 2053, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 13 + 10 * 12 * (5 + 5 + 7) - 1", "solution_steps": ["5 + 7 = 12", "5 + 12 = 17", "12 × 17 = 204", "10 × 204 = 2040", "13 + 2040 = 2053", "2053 − 1 = 2052", "1 + 2052 = 2053"], "key": "year-2053-5♦A♥Q♣K♥5♣7♥10♣A♦"} {"id": "train-year-0763", "level": "year", "target": 2048, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 1 * (7 + 6 * (6 + 11) * (7 + 13))", "solution_steps": ["6 + 11 = 17", "7 + 13 = 20", "17 × 20 = 340", "6 × 340 = 2040", "7 + 2040 = 2047", "1 × 2047 = 2047", "1 + 2047 = 2048"], "key": "year-2048-J♦A♦A♥7♦7♥6♠K♠6♥"} {"id": "train-year-0764", "level": "year", "target": 2008, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 9 + 13 * (10 + 8 * (6 + 12)) - 5", "solution_steps": ["6 + 12 = 18", "8 × 18 = 144", "10 + 144 = 154", "13 × 154 = 2002", "9 + 2002 = 2011", "2011 − 5 = 2006", "2 + 2006 = 2008"], "key": "year-2008-10♣9♥Q♠5♠6♥8♥2♦K♥"} {"id": "train-year-0765", "level": "year", "target": 1929, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 13 * (4 * 7 + 11 * 11) - 6 - 5", "solution_steps": ["4 × 7 = 28", "11 × 11 = 121", "28 + 121 = 149", "13 × 149 = 1937", "1937 − 6 = 1931", "1931 − 5 = 1926", "3 + 1926 = 1929"], "key": "year-1929-J♥J♦7♣5♥4♥K♠6♠3♠"} {"id": "train-year-0766", "level": "year", "target": 2020, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 5 + (4 + 7) * (4 * 4 * 12 - 9)", "solution_steps": ["4 + 7 = 11", "4 × 12 = 48", "4 × 48 = 192", "192 − 9 = 183", "11 × 183 = 2013", "5 + 2013 = 2018", "2 + 2018 = 2020"], "key": "year-2020-5♦2♦4♣4♥7♥9♠4♦Q♦"} {"id": "train-year-0767", "level": "year", "target": 1948, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 5 + 5 * 13 * (8 + 10 + 12) - 9", "solution_steps": ["10 + 12 = 22", "8 + 22 = 30", "13 × 30 = 390", "5 × 390 = 1950", "1950 − 9 = 1941", "5 + 1941 = 1946", "2 + 1946 = 1948"], "key": "year-1948-5♠10♣K♦2♥Q♦8♦5♦9♥"} {"id": "train-year-0768", "level": "year", "target": 1912, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 4 + (10 + 13) * (3 + 8 * 10) - 2", "solution_steps": ["10 + 13 = 23", "8 × 10 = 80", "3 + 80 = 83", "23 × 83 = 1909", "4 + 1909 = 1913", "1913 − 2 = 1911", "1 + 1911 = 1912"], "key": "year-1912-3♦8♥2♠A♠4♦10♠10♥K♥"} {"id": "train-year-0769", "level": "year", "target": 2033, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + 13 * (13 + 12 * (4 + 8)) - 11", "solution_steps": ["4 + 8 = 12", "12 × 12 = 144", "13 + 144 = 157", "13 × 157 = 2041", "2041 − 11 = 2030", "2 + 2030 = 2032", "1 + 2032 = 2033"], "key": "year-2033-8♦K♥J♠Q♥K♦A♠2♠4♠"} {"id": "train-year-0770", "level": "year", "target": 1920, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 2 + 3 + 8 * 10 * (11 + 13) - 7", "solution_steps": ["11 + 13 = 24", "10 × 24 = 240", "8 × 240 = 1920", "1920 − 7 = 1913", "3 + 1913 = 1916", "2 + 1916 = 1918", "2 + 1918 = 1920"], "key": "year-1920-7♣8♥3♠10♥2♥K♥2♦J♠"} {"id": "train-year-0771", "level": "year", "target": 1960, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 6 + 7 * 9 * (11 + 10 * (13 - 11))", "solution_steps": ["13 − 11 = 2", "10 × 2 = 20", "11 + 20 = 31", "9 × 31 = 279", "7 × 279 = 1953", "6 + 1953 = 1959", "1 + 1959 = 1960"], "key": "year-1960-6♣A♠9♠K♣J♥10♣7♠J♣"} {"id": "train-year-0772", "level": "year", "target": 1972, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 + 6 + 7 + 12 * (11 + 8 * (9 + 10))", "solution_steps": ["9 + 10 = 19", "8 × 19 = 152", "11 + 152 = 163", "12 × 163 = 1956", "7 + 1956 = 1963", "6 + 1963 = 1969", "3 + 1969 = 1972"], "key": "year-1972-Q♥9♦7♥6♣8♠10♥3♣J♦"} {"id": "train-year-0773", "level": "year", "target": 1990, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "6 + 8 + 13 * (7 * (7 + 8 + 8) - 9)", "solution_steps": ["8 + 8 = 16", "7 + 16 = 23", "7 × 23 = 161", "161 − 9 = 152", "13 × 152 = 1976", "8 + 1976 = 1984", "6 + 1984 = 1990"], "key": "year-1990-9♥8♣8♥7♥6♠8♦7♦K♠"} {"id": "train-year-0774", "level": "year", "target": 1902, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 5 + 11 * (9 * (9 + 11) - 7) - 8", "solution_steps": ["9 + 11 = 20", "9 × 20 = 180", "180 − 7 = 173", "11 × 173 = 1903", "1903 − 8 = 1895", "5 + 1895 = 1900", "2 + 1900 = 1902"], "key": "year-1902-J♣7♦8♠2♠9♠9♦5♥J♠"} {"id": "train-year-0775", "level": "year", "target": 1909, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 2 * 6 * (8 * (4 * 7 - 8) - 1)", "solution_steps": ["4 × 7 = 28", "28 − 8 = 20", "8 × 20 = 160", "160 − 1 = 159", "6 × 159 = 954", "2 × 954 = 1908", "1 + 1908 = 1909"], "key": "year-1909-2♥8♥A♥8♦6♦4♥A♠7♥"} {"id": "train-year-0776", "level": "year", "target": 2058, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + 4 + 4 * (9 * (6 * 11 - 8) - 9)", "solution_steps": ["6 × 11 = 66", "66 − 8 = 58", "9 × 58 = 522", "522 − 9 = 513", "4 × 513 = 2052", "4 + 2052 = 2056", "2 + 2056 = 2058"], "key": "year-2058-2♥9♣4♥J♥4♠8♥6♣9♠"} {"id": "train-year-0777", "level": "year", "target": 1948, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 6 * (8 + 10 * (8 + 11 * 11)) / 4", "solution_steps": ["11 × 11 = 121", "8 + 121 = 129", "10 × 129 = 1290", "8 + 1290 = 1298", "6 × 1298 = 7788", "7788 ÷ 4 = 1947", "1 + 1947 = 1948"], "key": "year-1948-4♦6♠10♠J♣8♦J♦8♠A♥"} {"id": "train-year-0778", "level": "year", "target": 1929, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 3 + 5 + 4 * 8 * 10 * (12 - 6)", "solution_steps": ["12 − 6 = 6", "10 × 6 = 60", "8 × 60 = 480", "4 × 480 = 1920", "5 + 1920 = 1925", "3 + 1925 = 1928", "1 + 1928 = 1929"], "key": "year-1929-Q♠6♥8♦3♦5♦A♦4♣10♠"} {"id": "train-year-0779", "level": "year", "target": 2000, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 5 + 10 * (11 + 9 * (10 + 11)) - 6", "solution_steps": ["10 + 11 = 21", "9 × 21 = 189", "11 + 189 = 200", "10 × 200 = 2000", "2000 − 6 = 1994", "5 + 1994 = 1999", "1 + 1999 = 2000"], "key": "year-2000-A♠J♦5♠6♣J♠10♠10♣9♥"} {"id": "train-year-0780", "level": "year", "target": 1997, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 4 + 7 * (6 + 9) * (7 + 12) - 3", "solution_steps": ["6 + 9 = 15", "7 + 12 = 19", "15 × 19 = 285", "7 × 285 = 1995", "4 + 1995 = 1999", "1999 − 3 = 1996", "1 + 1996 = 1997"], "key": "year-1997-7♥Q♣9♠A♦4♦7♣6♠3♠"} {"id": "train-year-0781", "level": "year", "target": 1957, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "3 + 3 + 7 + 8 * 9 * (4 + 11 + 12)", "solution_steps": ["11 + 12 = 23", "4 + 23 = 27", "9 × 27 = 243", "8 × 243 = 1944", "7 + 1944 = 1951", "3 + 1951 = 1954", "3 + 1954 = 1957"], "key": "year-1957-9♦3♣7♣3♦J♣Q♣8♠4♣"} {"id": "train-year-0782", "level": "year", "target": 1939, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 13 * (4 * 10 * (6 - 2) - 11)", "solution_steps": ["6 − 2 = 4", "10 × 4 = 40", "4 × 40 = 160", "160 − 11 = 149", "13 × 149 = 1937", "1 + 1937 = 1938", "1 + 1938 = 1939"], "key": "year-1939-4♣2♥6♠J♣K♥A♦10♠A♣"} {"id": "train-year-0783", "level": "year", "target": 2029, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 3 + 9 * (9 + 6 * (12 + 4 * 6))", "solution_steps": ["4 × 6 = 24", "12 + 24 = 36", "6 × 36 = 216", "9 + 216 = 225", "9 × 225 = 2025", "3 + 2025 = 2028", "1 + 2028 = 2029"], "key": "year-2029-6♥6♠3♦Q♣9♠4♦9♦A♣"} {"id": "train-year-0784", "level": "year", "target": 1994, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 + 11 * (13 + 6 * (5 + 10 + 13))", "solution_steps": ["10 + 13 = 23", "5 + 23 = 28", "6 × 28 = 168", "13 + 168 = 181", "11 × 181 = 1991", "2 + 1991 = 1993", "1 + 1993 = 1994"], "key": "year-1994-K♥J♣5♦K♣2♣10♦6♣A♥"} {"id": "train-year-0785", "level": "year", "target": 2006, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 10 * (3 + 11 * (5 + 13)) - 3 - 2", "solution_steps": ["5 + 13 = 18", "11 × 18 = 198", "3 + 198 = 201", "10 × 201 = 2010", "2010 − 3 = 2007", "2007 − 2 = 2005", "1 + 2005 = 2006"], "key": "year-2006-10♦J♠5♦3♠3♦A♥2♦K♠"} {"id": "train-year-0786", "level": "year", "target": 1920, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 5 + 11 * (7 + 7 * (12 + 13) - 8)", "solution_steps": ["12 + 13 = 25", "7 × 25 = 175", "175 − 8 = 167", "7 + 167 = 174", "11 × 174 = 1914", "5 + 1914 = 1919", "1 + 1919 = 1920"], "key": "year-1920-K♦8♣A♣5♦7♠7♦J♦Q♠"} {"id": "train-year-0787", "level": "year", "target": 2075, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "5 + 5 * (12 * 12 * (10 - 7) - 10 - 8)", "solution_steps": ["10 − 7 = 3", "12 × 3 = 36", "12 × 36 = 432", "432 − 10 = 422", "422 − 8 = 414", "5 × 414 = 2070", "5 + 2070 = 2075"], "key": "year-2075-10♥5♠10♠8♣5♥7♥Q♥Q♦"} {"id": "train-year-0788", "level": "year", "target": 1931, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "3 + 13 * (13 * 13 - 13 - 7) - 8 - 1", "solution_steps": ["13 × 13 = 169", "169 − 13 = 156", "156 − 7 = 149", "13 × 149 = 1937", "1937 − 8 = 1929", "3 + 1929 = 1932", "1932 − 1 = 1931"], "key": "year-1931-K♠3♠A♣7♦K♦8♠K♣K♥"} {"id": "train-year-0789", "level": "year", "target": 1920, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 3 * 4 * (7 * (12 + 12) - 8) - 1", "solution_steps": ["12 + 12 = 24", "7 × 24 = 168", "168 − 8 = 160", "4 × 160 = 640", "3 × 640 = 1920", "1920 − 1 = 1919", "1 + 1919 = 1920"], "key": "year-1920-7♠Q♦A♠4♠Q♥A♦3♠8♣"} {"id": "train-year-0790", "level": "year", "target": 1908, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 3 * (7 * (8 * 13 - 11) - 12 - 4)", "solution_steps": ["8 × 13 = 104", "104 − 11 = 93", "7 × 93 = 651", "651 − 12 = 639", "639 − 4 = 635", "3 × 635 = 1905", "3 + 1905 = 1908"], "key": "year-1908-4♥J♥3♦Q♥K♣8♣7♥3♣"} {"id": "train-year-0791", "level": "year", "target": 1930, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + (10 * (4 * 9 * 11 - 9) - 12) / 2", "solution_steps": ["9 × 11 = 99", "4 × 99 = 396", "396 − 9 = 387", "10 × 387 = 3870", "3870 − 12 = 3858", "3858 ÷ 2 = 1929", "1 + 1929 = 1930"], "key": "year-1930-Q♥9♣4♣9♦10♥A♠2♠J♥"} {"id": "train-year-0792", "level": "year", "target": 1970, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + (6 + 8) * (12 * 12 - 3) - 3 - 2", "solution_steps": ["6 + 8 = 14", "12 × 12 = 144", "144 − 3 = 141", "14 × 141 = 1974", "1974 − 3 = 1971", "1971 − 2 = 1969", "1 + 1969 = 1970"], "key": "year-1970-6♣2♣8♦3♦A♦Q♦Q♥3♠"} {"id": "train-year-0793", "level": "year", "target": 2055, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 2 + 6 * (5 - 2) * (10 + 8 * 13)", "solution_steps": ["5 − 2 = 3", "8 × 13 = 104", "10 + 104 = 114", "3 × 114 = 342", "6 × 342 = 2052", "2 + 2052 = 2054", "1 + 2054 = 2055"], "key": "year-2055-2♠5♠6♣2♥K♣A♠10♣8♥"} {"id": "train-year-0794", "level": "year", "target": 1937, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 10 * (13 + 13 * (5 + 9)) - 11 - 4", "solution_steps": ["5 + 9 = 14", "13 × 14 = 182", "13 + 182 = 195", "10 × 195 = 1950", "1950 − 11 = 1939", "1939 − 4 = 1935", "2 + 1935 = 1937"], "key": "year-1937-5♠J♣4♠9♦10♣K♥2♥K♠"} {"id": "train-year-0795", "level": "year", "target": 2075, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 3 + 13 * (5 + 12 + 11 * 13) - 9", "solution_steps": ["11 × 13 = 143", "12 + 143 = 155", "5 + 155 = 160", "13 × 160 = 2080", "2080 − 9 = 2071", "3 + 2071 = 2074", "1 + 2074 = 2075"], "key": "year-2075-Q♥5♦3♦9♣K♠J♣A♠K♥"} {"id": "train-year-0796", "level": "year", "target": 1973, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 3 + 6 + 9 * (8 * 11 + 10 * 13)", "solution_steps": ["8 × 11 = 88", "10 × 13 = 130", "88 + 130 = 218", "9 × 218 = 1962", "6 + 1962 = 1968", "3 + 1968 = 1971", "2 + 1971 = 1973"], "key": "year-1973-J♦2♥10♥6♥K♥9♣8♠3♣"} {"id": "train-year-0797", "level": "year", "target": 1916, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 6 + 12 * 13 * 13 - 10 * 11 - 9", "solution_steps": ["13 × 13 = 169", "12 × 169 = 2028", "10 × 11 = 110", "2028 − 110 = 1918", "1918 − 9 = 1909", "6 + 1909 = 1915", "1 + 1915 = 1916"], "key": "year-1916-J♣9♠6♠10♥K♠Q♥K♦A♥"} {"id": "train-year-0798", "level": "year", "target": 2017, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "4 + 10 + 6 * 12 * (6 * 6 - 8) - 13", "solution_steps": ["6 × 6 = 36", "36 − 8 = 28", "12 × 28 = 336", "6 × 336 = 2016", "2016 − 13 = 2003", "10 + 2003 = 2013", "4 + 2013 = 2017"], "key": "year-2017-Q♥8♣6♣6♥4♦10♦K♣6♠"} {"id": "train-year-0799", "level": "year", "target": 2098, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "2 + 5 * (5 + 9) * (6 + 11 + 13) - 4", "solution_steps": ["5 + 9 = 14", "11 + 13 = 24", "6 + 24 = 30", "14 × 30 = 420", "5 × 420 = 2100", "2100 − 4 = 2096", "2 + 2096 = 2098"], "key": "year-2098-K♥2♣J♦5♥9♠6♦4♣5♣"} {"id": "train-year-0800", "level": "year", "target": 2064, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 4 + (5 + 6 * 11) * (6 + 11 + 12)", "solution_steps": ["6 × 11 = 66", "5 + 66 = 71", "11 + 12 = 23", "6 + 23 = 29", "71 × 29 = 2059", "4 + 2059 = 2063", "1 + 2063 = 2064"], "key": "year-2064-4♠J♦J♥Q♠6♠5♥A♦6♦"} {"id": "train-year-0801", "level": "year", "target": 1902, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "3 + 7 + 12 * (10 * (6 + 11) - 12) - 4", "solution_steps": ["6 + 11 = 17", "10 × 17 = 170", "170 − 12 = 158", "12 × 158 = 1896", "7 + 1896 = 1903", "1903 − 4 = 1899", "3 + 1899 = 1902"], "key": "year-1902-Q♠Q♦J♣3♦6♠10♥4♦7♣"} {"id": "train-year-0802", "level": "year", "target": 2066, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 4 + 8 + (7 + 11) * (6 + 9 * 12)", "solution_steps": ["7 + 11 = 18", "9 × 12 = 108", "6 + 108 = 114", "18 × 114 = 2052", "8 + 2052 = 2060", "4 + 2060 = 2064", "2 + 2064 = 2066"], "key": "year-2066-7♣4♣8♦9♥6♣2♥Q♥J♣"} {"id": "train-year-0803", "level": "year", "target": 2072, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 6 + 7 * (7 + 3 * 4 * (12 + 12))", "solution_steps": ["12 + 12 = 24", "4 × 24 = 96", "3 × 96 = 288", "7 + 288 = 295", "7 × 295 = 2065", "6 + 2065 = 2071", "1 + 2071 = 2072"], "key": "year-2072-Q♥7♠7♥Q♠6♦3♥A♥4♥"} {"id": "train-year-0804", "level": "year", "target": 1973, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 12 * (13 + 8 * (5 + 5 * 11)) / 3", "solution_steps": ["5 × 11 = 55", "5 + 55 = 60", "8 × 60 = 480", "13 + 480 = 493", "12 × 493 = 5916", "5916 ÷ 3 = 1972", "1 + 1972 = 1973"], "key": "year-1973-K♣Q♣5♣J♣3♥5♠A♦8♦"} {"id": "train-year-0805", "level": "year", "target": 1957, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 4 + 10 * (5 * 7 + 8 * (9 + 11))", "solution_steps": ["5 × 7 = 35", "9 + 11 = 20", "8 × 20 = 160", "35 + 160 = 195", "10 × 195 = 1950", "4 + 1950 = 1954", "3 + 1954 = 1957"], "key": "year-1957-9♠J♠4♠5♠7♥8♥10♥3♥"} {"id": "train-year-0806", "level": "year", "target": 1908, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 5 + 8 * 10 * (11 + 13) - 12 - 6", "solution_steps": ["11 + 13 = 24", "10 × 24 = 240", "8 × 240 = 1920", "1920 − 12 = 1908", "1908 − 6 = 1902", "5 + 1902 = 1907", "1 + 1907 = 1908"], "key": "year-1908-6♣K♦5♣8♦J♦A♦10♠Q♦"} {"id": "train-year-0807", "level": "year", "target": 1960, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 6 + 10 * (2 * 10 * 10 - 4) - 7", "solution_steps": ["10 × 10 = 100", "2 × 100 = 200", "200 − 4 = 196", "10 × 196 = 1960", "1960 − 7 = 1953", "6 + 1953 = 1959", "1 + 1959 = 1960"], "key": "year-1960-6♣10♦4♣2♥10♣10♥A♣7♣"} {"id": "train-year-0808", "level": "year", "target": 1977, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 2 + 11 * (12 + 8 * (8 + 13)) - 6", "solution_steps": ["8 + 13 = 21", "8 × 21 = 168", "12 + 168 = 180", "11 × 180 = 1980", "1980 − 6 = 1974", "2 + 1974 = 1976", "1 + 1976 = 1977"], "key": "year-1977-Q♥A♥6♣K♠8♠J♠2♣8♥"} {"id": "train-year-0809", "level": "year", "target": 2003, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 2 + 2 * 5 * 5 * 8 * (9 - 4)", "solution_steps": ["9 − 4 = 5", "8 × 5 = 40", "5 × 40 = 200", "5 × 200 = 1000", "2 × 1000 = 2000", "2 + 2000 = 2002", "1 + 2002 = 2003"], "key": "year-2003-8♣5♦A♠2♥9♣4♠2♠5♥"} {"id": "train-year-0810", "level": "year", "target": 2091, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 2 + 8 * (9 + (6 + 6) * (8 + 13))", "solution_steps": ["6 + 6 = 12", "8 + 13 = 21", "12 × 21 = 252", "9 + 252 = 261", "8 × 261 = 2088", "2 + 2088 = 2090", "1 + 2090 = 2091"], "key": "year-2091-A♠6♥2♥K♣8♣8♠6♣9♦"} {"id": "train-year-0811", "level": "year", "target": 2051, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 * 6 * (6 + 11 * (4 + 11)) - 2", "solution_steps": ["4 + 11 = 15", "11 × 15 = 165", "6 + 165 = 171", "6 × 171 = 1026", "2 × 1026 = 2052", "2052 − 2 = 2050", "1 + 2050 = 2051"], "key": "year-2051-6♠2♣4♥J♠6♣A♠2♥J♦"} {"id": "train-year-0812", "level": "year", "target": 2012, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 + 13 * (9 * 9 * (10 - 8) - 7) - 6", "solution_steps": ["10 − 8 = 2", "9 × 2 = 18", "9 × 18 = 162", "162 − 7 = 155", "13 × 155 = 2015", "2015 − 6 = 2009", "3 + 2009 = 2012"], "key": "year-2012-7♦9♣K♥10♦8♥9♦3♠6♣"} {"id": "train-year-0813", "level": "year", "target": 1992, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "4 + 7 * (13 + 13 * (9 + 12)) - 7 - 7", "solution_steps": ["9 + 12 = 21", "13 × 21 = 273", "13 + 273 = 286", "7 × 286 = 2002", "2002 − 7 = 1995", "1995 − 7 = 1988", "4 + 1988 = 1992"], "key": "year-1992-K♦7♣Q♣4♥7♠7♦K♠9♣"} {"id": "train-year-0814", "level": "year", "target": 1988, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 4 + 13 * (7 * (10 + 13) - 8) - 6", "solution_steps": ["10 + 13 = 23", "7 × 23 = 161", "161 − 8 = 153", "13 × 153 = 1989", "1989 − 6 = 1983", "4 + 1983 = 1987", "1 + 1987 = 1988"], "key": "year-1988-A♦K♣K♠6♠7♥4♦10♥8♣"} {"id": "train-year-0815", "level": "year", "target": 1983, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 2 + 6 * 10 * (9 * (11 - 7) - 3)", "solution_steps": ["11 − 7 = 4", "9 × 4 = 36", "36 − 3 = 33", "10 × 33 = 330", "6 × 330 = 1980", "2 + 1980 = 1982", "1 + 1982 = 1983"], "key": "year-1983-J♣7♦3♥10♥A♥6♥2♣9♠"} {"id": "train-year-0816", "level": "year", "target": 2015, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 6 * (13 + (4 + 13) * (9 + 10)) - 2", "solution_steps": ["4 + 13 = 17", "9 + 10 = 19", "17 × 19 = 323", "13 + 323 = 336", "6 × 336 = 2016", "2016 − 2 = 2014", "1 + 2014 = 2015"], "key": "year-2015-6♠2♦10♣9♣4♣A♣K♥K♣"} {"id": "train-year-0817", "level": "year", "target": 1943, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 3 + 13 * (6 + 12 * (3 + 9)) - 11", "solution_steps": ["3 + 9 = 12", "12 × 12 = 144", "6 + 144 = 150", "13 × 150 = 1950", "1950 − 11 = 1939", "3 + 1939 = 1942", "1 + 1942 = 1943"], "key": "year-1943-J♦6♠K♥A♥Q♣9♣3♣3♦"} {"id": "train-year-0818", "level": "year", "target": 1994, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 3 + 10 + 6 * 10 * 11 * (9 - 6)", "solution_steps": ["9 − 6 = 3", "11 × 3 = 33", "10 × 33 = 330", "6 × 330 = 1980", "10 + 1980 = 1990", "3 + 1990 = 1993", "1 + 1993 = 1994"], "key": "year-1994-6♠J♠A♥6♦10♦9♦3♣10♠"} {"id": "train-year-0819", "level": "year", "target": 1982, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 2 + 3 + (13 + 13) * (4 + 8 * 9)", "solution_steps": ["13 + 13 = 26", "8 × 9 = 72", "4 + 72 = 76", "26 × 76 = 1976", "3 + 1976 = 1979", "2 + 1979 = 1981", "1 + 1981 = 1982"], "key": "year-1982-2♥K♣A♦4♠8♣K♠9♥3♠"} {"id": "train-year-0820", "level": "year", "target": 1995, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 2 + 4 * 6 * (3 + 8 + 8 * 9)", "solution_steps": ["8 × 9 = 72", "8 + 72 = 80", "3 + 80 = 83", "6 × 83 = 498", "4 × 498 = 1992", "2 + 1992 = 1994", "1 + 1994 = 1995"], "key": "year-1995-A♠3♠8♠2♠9♦8♥4♦6♦"} {"id": "train-year-0821", "level": "year", "target": 2024, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 7 + 6 * 6 * (4 + 6 * 10 - 8)", "solution_steps": ["6 × 10 = 60", "60 − 8 = 52", "4 + 52 = 56", "6 × 56 = 336", "6 × 336 = 2016", "7 + 2016 = 2023", "1 + 2023 = 2024"], "key": "year-2024-4♠6♠6♥10♠6♣8♣7♥A♣"} {"id": "train-year-0822", "level": "year", "target": 1960, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 6 + 11 * (8 + 10 * (7 + 10)) - 6", "solution_steps": ["7 + 10 = 17", "10 × 17 = 170", "8 + 170 = 178", "11 × 178 = 1958", "1958 − 6 = 1952", "6 + 1952 = 1958", "2 + 1958 = 1960"], "key": "year-1960-6♦10♥J♣2♦7♣10♣8♥6♥"} {"id": "train-year-0823", "level": "year", "target": 2016, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 2 + 2 * (3 + 7 * 12 * 12) - 10", "solution_steps": ["12 × 12 = 144", "7 × 144 = 1008", "3 + 1008 = 1011", "2 × 1011 = 2022", "2022 − 10 = 2012", "2 + 2012 = 2014", "2 + 2014 = 2016"], "key": "year-2016-10♠2♠2♦3♣2♣Q♠Q♥7♠"} {"id": "train-year-0824", "level": "year", "target": 2075, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 3 + 5 * 9 * (8 + 12 + 13 + 13)", "solution_steps": ["13 + 13 = 26", "12 + 26 = 38", "8 + 38 = 46", "9 × 46 = 414", "5 × 414 = 2070", "3 + 2070 = 2073", "2 + 2073 = 2075"], "key": "year-2075-Q♠8♦K♣2♥3♣5♦9♦K♠"} {"id": "train-year-0825", "level": "year", "target": 1930, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + 3 + 7 * (9 + 13 * (9 + 12) - 7)", "solution_steps": ["9 + 12 = 21", "13 × 21 = 273", "9 + 273 = 282", "282 − 7 = 275", "7 × 275 = 1925", "3 + 1925 = 1928", "2 + 1928 = 1930"], "key": "year-1930-3♦Q♦9♦K♣2♣7♥9♠7♣"} {"id": "train-year-0826", "level": "year", "target": 2099, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "3 + 6 * 10 * (8 * (13 - 7) - 13) - 4", "solution_steps": ["13 − 7 = 6", "8 × 6 = 48", "48 − 13 = 35", "10 × 35 = 350", "6 × 350 = 2100", "2100 − 4 = 2096", "3 + 2096 = 2099"], "key": "year-2099-8♣6♣7♣3♦10♦K♠4♣K♣"} {"id": "train-year-0827", "level": "year", "target": 1970, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 1 + 4 * 12 * (13 + 10 * 11) / 3", "solution_steps": ["10 × 11 = 110", "13 + 110 = 123", "12 × 123 = 1476", "4 × 1476 = 5904", "5904 ÷ 3 = 1968", "1 + 1968 = 1969", "1 + 1969 = 1970"], "key": "year-1970-4♦10♠A♦J♣Q♥A♣K♦3♥"} {"id": "train-year-0828", "level": "year", "target": 2031, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 7 * (10 * 13 + 13 * 13 - 6 - 3)", "solution_steps": ["10 × 13 = 130", "13 × 13 = 169", "130 + 169 = 299", "299 − 6 = 293", "293 − 3 = 290", "7 × 290 = 2030", "1 + 2030 = 2031"], "key": "year-2031-7♠A♣3♣10♥K♦K♣6♥K♥"} {"id": "train-year-0829", "level": "year", "target": 1954, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 9 * (5 + 13 * (6 * 6 - 3)) / 2", "solution_steps": ["6 × 6 = 36", "36 − 3 = 33", "13 × 33 = 429", "5 + 429 = 434", "9 × 434 = 3906", "3906 ÷ 2 = 1953", "1 + 1953 = 1954"], "key": "year-1954-K♦3♥9♥A♥6♦2♠6♥5♥"} {"id": "train-year-0830", "level": "year", "target": 2050, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "3 + 6 * 6 * (13 + 4 * (5 + 6)) - 5", "solution_steps": ["5 + 6 = 11", "4 × 11 = 44", "13 + 44 = 57", "6 × 57 = 342", "6 × 342 = 2052", "2052 − 5 = 2047", "3 + 2047 = 2050"], "key": "year-2050-5♥3♠5♦6♦6♥4♥6♠K♠"} {"id": "train-year-0831", "level": "year", "target": 1997, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + 6 * 9 * (7 * (13 - 7) - 5) - 3", "solution_steps": ["13 − 7 = 6", "7 × 6 = 42", "42 − 5 = 37", "9 × 37 = 333", "6 × 333 = 1998", "1998 − 3 = 1995", "2 + 1995 = 1997"], "key": "year-1997-5♦3♦K♦7♥7♠2♥9♠6♦"} {"id": "train-year-0832", "level": "year", "target": 1907, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 3 + 11 * (5 * 12 * 12 / 4 - 7)", "solution_steps": ["12 × 12 = 144", "5 × 144 = 720", "720 ÷ 4 = 180", "180 − 7 = 173", "11 × 173 = 1903", "3 + 1903 = 1906", "1 + 1906 = 1907"], "key": "year-1907-5♠Q♥7♣J♠A♦4♥Q♠3♥"} {"id": "train-year-0833", "level": "year", "target": 1918, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 + 5 + 10 + 9 * (6 * 7 + 13 * 13)", "solution_steps": ["6 × 7 = 42", "13 × 13 = 169", "42 + 169 = 211", "9 × 211 = 1899", "10 + 1899 = 1909", "5 + 1909 = 1914", "4 + 1914 = 1918"], "key": "year-1918-5♣10♣6♦7♦9♦K♠K♣4♦"} {"id": "train-year-0834", "level": "year", "target": 2002, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 5 / 5 + 11 * 13 * (4 + 10) - 2", "solution_steps": ["5 ÷ 5 = 1", "4 + 10 = 14", "13 × 14 = 182", "11 × 182 = 2002", "1 + 2002 = 2003", "2003 − 2 = 2001", "1 + 2001 = 2002"], "key": "year-2002-A♠J♥K♦2♠5♠10♥5♥4♦"} {"id": "train-year-0835", "level": "year", "target": 1951, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 8 * (7 + 9 * 9 * 12 - 4) / 4", "solution_steps": ["9 × 12 = 108", "9 × 108 = 972", "7 + 972 = 979", "979 − 4 = 975", "8 × 975 = 7800", "7800 ÷ 4 = 1950", "1 + 1950 = 1951"], "key": "year-1951-9♦9♠4♥7♥A♥8♥Q♣4♠"} {"id": "train-year-0836", "level": "year", "target": 2087, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 4 + 5 + 6 + 9 * 10 * (10 + 13)", "solution_steps": ["10 + 13 = 23", "10 × 23 = 230", "9 × 230 = 2070", "6 + 2070 = 2076", "5 + 2076 = 2081", "4 + 2081 = 2085", "2 + 2085 = 2087"], "key": "year-2087-4♠5♦K♣10♠10♥6♥9♣2♠"} {"id": "train-year-0837", "level": "year", "target": 2015, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "6 + 7 + 7 * 13 * (10 * (11 - 8) - 8)", "solution_steps": ["11 − 8 = 3", "10 × 3 = 30", "30 − 8 = 22", "13 × 22 = 286", "7 × 286 = 2002", "7 + 2002 = 2009", "6 + 2009 = 2015"], "key": "year-2015-6♦10♣8♣7♦K♦7♥J♥8♥"} {"id": "train-year-0838", "level": "year", "target": 1968, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 4 + 13 * (7 + 8 * 9 * (8 - 6))", "solution_steps": ["8 − 6 = 2", "9 × 2 = 18", "8 × 18 = 144", "7 + 144 = 151", "13 × 151 = 1963", "4 + 1963 = 1967", "1 + 1967 = 1968"], "key": "year-1968-7♣K♦8♦4♦A♣8♠9♥6♦"} {"id": "train-year-0839", "level": "year", "target": 2085, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 5 + 8 * 13 * (8 + 12) - 6 / 6", "solution_steps": ["8 + 12 = 20", "13 × 20 = 260", "8 × 260 = 2080", "6 ÷ 6 = 1", "2080 − 1 = 2079", "5 + 2079 = 2084", "1 + 2084 = 2085"], "key": "year-2085-8♣5♣A♣8♦6♣6♦Q♥K♣"} {"id": "train-year-0840", "level": "year", "target": 2078, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 12 * (5 * 6 * (13 - 7) - 7)", "solution_steps": ["13 − 7 = 6", "6 × 6 = 36", "5 × 36 = 180", "180 − 7 = 173", "12 × 173 = 2076", "1 + 2076 = 2077", "1 + 2077 = 2078"], "key": "year-2078-6♠K♠5♠Q♦7♦A♦7♥A♠"} {"id": "train-year-0841", "level": "year", "target": 2027, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 + 4 * (3 + 3 * 8 * (9 + 12)) - 3", "solution_steps": ["9 + 12 = 21", "8 × 21 = 168", "3 × 168 = 504", "3 + 504 = 507", "4 × 507 = 2028", "2028 − 3 = 2025", "2 + 2025 = 2027"], "key": "year-2027-2♥Q♠3♣3♥8♠3♦9♦4♠"} {"id": "train-year-0842", "level": "year", "target": 1976, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + (4 * 11 - 10) * (9 + 7 * 7)", "solution_steps": ["4 × 11 = 44", "44 − 10 = 34", "7 × 7 = 49", "9 + 49 = 58", "34 × 58 = 1972", "2 + 1972 = 1974", "2 + 1974 = 1976"], "key": "year-1976-9♦J♥7♠4♦10♥2♠7♥2♥"} {"id": "train-year-0843", "level": "year", "target": 1984, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 + 4 + 7 + 9 * 10 * (11 + 11) - 10", "solution_steps": ["11 + 11 = 22", "10 × 22 = 220", "9 × 220 = 1980", "1980 − 10 = 1970", "7 + 1970 = 1977", "4 + 1977 = 1981", "3 + 1981 = 1984"], "key": "year-1984-J♥10♠9♥4♣J♣3♥10♣7♥"} {"id": "train-year-0844", "level": "year", "target": 2022, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 4 + 3 * 6 * (5 + 11 + 8 * 12)", "solution_steps": ["8 × 12 = 96", "11 + 96 = 107", "5 + 107 = 112", "6 × 112 = 672", "3 × 672 = 2016", "4 + 2016 = 2020", "2 + 2020 = 2022"], "key": "year-2022-3♠5♥6♠Q♦8♦2♥4♥J♣"} {"id": "train-year-0845", "level": "year", "target": 1960, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "3 + 11 * (2 + 11 * (3 * 9 - 11)) - 1", "solution_steps": ["3 × 9 = 27", "27 − 11 = 16", "11 × 16 = 176", "2 + 176 = 178", "11 × 178 = 1958", "3 + 1958 = 1961", "1961 − 1 = 1960"], "key": "year-1960-J♣2♥3♠J♠A♦J♥3♦9♦"} {"id": "train-year-0846", "level": "year", "target": 2052, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "3 + 5 * (5 + 5 + 4 * 10 * 10) - 1", "solution_steps": ["10 × 10 = 100", "4 × 100 = 400", "5 + 400 = 405", "5 + 405 = 410", "5 × 410 = 2050", "3 + 2050 = 2053", "2053 − 1 = 2052"], "key": "year-2052-5♠10♦3♥5♣10♠A♣5♦4♥"} {"id": "train-year-0847", "level": "year", "target": 1936, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 1 + 2 * (7 + 5 * 8 * (12 + 12))", "solution_steps": ["12 + 12 = 24", "8 × 24 = 192", "5 × 192 = 960", "7 + 960 = 967", "2 × 967 = 1934", "1 + 1934 = 1935", "1 + 1935 = 1936"], "key": "year-1936-Q♦5♥A♠Q♥2♦A♦8♣7♥"} {"id": "train-year-0848", "level": "year", "target": 1993, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 2 * 4 * (5 * 5 * 10 - 9 / 9)", "solution_steps": ["5 × 10 = 50", "5 × 50 = 250", "9 ÷ 9 = 1", "250 − 1 = 249", "4 × 249 = 996", "2 × 996 = 1992", "1 + 1992 = 1993"], "key": "year-1993-10♦9♠2♣9♥5♣5♥A♦4♦"} {"id": "train-year-0849", "level": "year", "target": 1923, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 2 + 4 * 5 * 8 * (11 + 12 / 12)", "solution_steps": ["12 ÷ 12 = 1", "11 + 1 = 12", "8 × 12 = 96", "5 × 96 = 480", "4 × 480 = 1920", "2 + 1920 = 1922", "1 + 1922 = 1923"], "key": "year-1923-J♥Q♦2♠4♥Q♥A♦5♦8♣"} {"id": "train-year-0850", "level": "year", "target": 2065, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "4 + 6 + 7 + (6 + 10) * (8 + 10 * 12)", "solution_steps": ["6 + 10 = 16", "10 × 12 = 120", "8 + 120 = 128", "16 × 128 = 2048", "7 + 2048 = 2055", "6 + 2055 = 2061", "4 + 2061 = 2065"], "key": "year-2065-Q♣10♥8♣10♣6♦7♥6♠4♠"} {"id": "train-year-0851", "level": "year", "target": 2065, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 + 9 + 6 * (4 * 8 * 11 - 6 - 4)", "solution_steps": ["8 × 11 = 88", "4 × 88 = 352", "352 − 6 = 346", "346 − 4 = 342", "6 × 342 = 2052", "9 + 2052 = 2061", "4 + 2061 = 2065"], "key": "year-2065-4♠6♣6♥9♠4♣8♥J♥4♦"} {"id": "train-year-0852", "level": "year", "target": 2030, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 4 + 5 + 10 * (4 + 11 * (7 + 11))", "solution_steps": ["7 + 11 = 18", "11 × 18 = 198", "4 + 198 = 202", "10 × 202 = 2020", "5 + 2020 = 2025", "4 + 2025 = 2029", "1 + 2029 = 2030"], "key": "year-2030-4♥5♥7♠A♦10♠J♥4♦J♣"} {"id": "train-year-0853", "level": "year", "target": 1903, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 3 + (13 - 4) * (12 * (7 + 11) - 5)", "solution_steps": ["13 − 4 = 9", "7 + 11 = 18", "12 × 18 = 216", "216 − 5 = 211", "9 × 211 = 1899", "3 + 1899 = 1902", "1 + 1902 = 1903"], "key": "year-1903-Q♣K♣3♦A♦J♣5♥7♥4♥"} {"id": "train-year-0854", "level": "year", "target": 1980, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 7 + 9 + 9 * (11 * (8 + 13) - 13)", "solution_steps": ["8 + 13 = 21", "11 × 21 = 231", "231 − 13 = 218", "9 × 218 = 1962", "9 + 1962 = 1971", "7 + 1971 = 1978", "2 + 1978 = 1980"], "key": "year-1980-K♦8♠7♣9♦2♦9♠J♣K♥"} {"id": "train-year-0855", "level": "year", "target": 2046, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 8 + 9 + 12 * 13 * 13 - 10 / 10", "solution_steps": ["13 × 13 = 169", "12 × 169 = 2028", "10 ÷ 10 = 1", "2028 − 1 = 2027", "9 + 2027 = 2036", "8 + 2036 = 2044", "2 + 2044 = 2046"], "key": "year-2046-Q♥8♣K♣10♣K♥2♠9♣10♥"} {"id": "train-year-0856", "level": "year", "target": 1929, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 1 + (11 + 11) * (9 * 10 - 2) - 9", "solution_steps": ["11 + 11 = 22", "9 × 10 = 90", "90 − 2 = 88", "22 × 88 = 1936", "1936 − 9 = 1927", "1 + 1927 = 1928", "1 + 1928 = 1929"], "key": "year-1929-9♦A♠J♠A♣J♦9♥2♠10♠"} {"id": "train-year-0857", "level": "year", "target": 2078, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 3 + 3 + 5 * (8 + 10) * (11 + 12)", "solution_steps": ["8 + 10 = 18", "11 + 12 = 23", "18 × 23 = 414", "5 × 414 = 2070", "3 + 2070 = 2073", "3 + 2073 = 2076", "2 + 2076 = 2078"], "key": "year-2078-Q♠5♦J♥10♣3♦2♣3♣8♦"} {"id": "train-year-0858", "level": "year", "target": 2031, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 2 + 3 * (9 * (4 + 6 * 12) - 8)", "solution_steps": ["6 × 12 = 72", "4 + 72 = 76", "9 × 76 = 684", "684 − 8 = 676", "3 × 676 = 2028", "2 + 2028 = 2030", "1 + 2030 = 2031"], "key": "year-2031-4♣Q♣3♠A♣2♦9♣8♠6♦"} {"id": "train-year-0859", "level": "year", "target": 2040, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 2 * 6 * 9 * (9 + 10) - 10 - 3", "solution_steps": ["9 + 10 = 19", "9 × 19 = 171", "6 × 171 = 1026", "2 × 1026 = 2052", "2052 − 10 = 2042", "2042 − 3 = 2039", "1 + 2039 = 2040"], "key": "year-2040-10♥3♠9♦2♠6♣A♥9♣10♦"} {"id": "train-year-0860", "level": "year", "target": 2025, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 5 + 8 + 4 * 6 * 7 * 12 - 6", "solution_steps": ["7 × 12 = 84", "6 × 84 = 504", "4 × 504 = 2016", "8 + 2016 = 2024", "2024 − 6 = 2018", "5 + 2018 = 2023", "2 + 2023 = 2025"], "key": "year-2025-4♦Q♣6♣2♦5♦6♦7♥8♦"} {"id": "train-year-0861", "level": "year", "target": 1971, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 3 + 11 * 13 * (4 + 10) - 4 * 9", "solution_steps": ["4 + 10 = 14", "13 × 14 = 182", "11 × 182 = 2002", "4 × 9 = 36", "2002 − 36 = 1966", "3 + 1966 = 1969", "2 + 1969 = 1971"], "key": "year-1971-3♠J♠10♦4♣K♦9♦4♥2♦"} {"id": "train-year-0862", "level": "year", "target": 1931, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 4 + 7 * (9 + (6 + 8) * (8 + 11))", "solution_steps": ["6 + 8 = 14", "8 + 11 = 19", "14 × 19 = 266", "9 + 266 = 275", "7 × 275 = 1925", "4 + 1925 = 1929", "2 + 1929 = 1931"], "key": "year-1931-6♥9♦4♥J♠8♣8♦2♠7♦"} {"id": "train-year-0863", "level": "year", "target": 2046, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "4 + 5 + 9 * 13 + 8 * 12 * (9 + 11)", "solution_steps": ["9 × 13 = 117", "9 + 11 = 20", "12 × 20 = 240", "8 × 240 = 1920", "117 + 1920 = 2037", "5 + 2037 = 2042", "4 + 2042 = 2046"], "key": "year-2046-4♠9♠9♦5♣J♦8♥K♥Q♠"} {"id": "train-year-0864", "level": "year", "target": 2026, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 6 + 13 * (5 * 7 + 11 * 11) - 10", "solution_steps": ["5 × 7 = 35", "11 × 11 = 121", "35 + 121 = 156", "13 × 156 = 2028", "2028 − 10 = 2018", "6 + 2018 = 2024", "2 + 2024 = 2026"], "key": "year-2026-5♣J♣K♣6♠10♥7♥2♦J♠"} {"id": "train-year-0865", "level": "year", "target": 2075, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 6 + 8 * (11 + 13 * (7 + 12))", "solution_steps": ["7 + 12 = 19", "13 × 19 = 247", "11 + 247 = 258", "8 × 258 = 2064", "6 + 2064 = 2070", "3 + 2070 = 2073", "2 + 2073 = 2075"], "key": "year-2075-6♣8♦K♣7♠2♠Q♣J♣3♠"} {"id": "train-year-0866", "level": "year", "target": 2064, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 3 + 7 + 6 * (7 + 12) * (9 + 9)", "solution_steps": ["7 + 12 = 19", "9 + 9 = 18", "19 × 18 = 342", "6 × 342 = 2052", "7 + 2052 = 2059", "3 + 2059 = 2062", "2 + 2062 = 2064"], "key": "year-2064-3♥7♥Q♠6♦7♠9♣9♦2♦"} {"id": "train-year-0867", "level": "year", "target": 2041, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 8 + 10 * (9 + 13 * (7 + 8)) - 9", "solution_steps": ["7 + 8 = 15", "13 × 15 = 195", "9 + 195 = 204", "10 × 204 = 2040", "2040 − 9 = 2031", "8 + 2031 = 2039", "2 + 2039 = 2041"], "key": "year-2041-9♠7♣9♥10♥8♠2♠8♣K♠"} {"id": "train-year-0868", "level": "year", "target": 2039, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "5 + 5 + 6 * (7 + 13) * (8 + 9) - 11", "solution_steps": ["7 + 13 = 20", "8 + 9 = 17", "20 × 17 = 340", "6 × 340 = 2040", "2040 − 11 = 2029", "5 + 2029 = 2034", "5 + 2034 = 2039"], "key": "year-2039-5♦K♥6♥9♥7♥J♦8♦5♥"} {"id": "train-year-0869", "level": "year", "target": 2034, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "6 + 10 + 10 + 13 * (12 + 11 * 13) - 7", "solution_steps": ["11 × 13 = 143", "12 + 143 = 155", "13 × 155 = 2015", "10 + 2015 = 2025", "10 + 2025 = 2035", "2035 − 7 = 2028", "6 + 2028 = 2034"], "key": "year-2034-K♥10♦10♥K♣J♦6♦7♦Q♠"} {"id": "train-year-0870", "level": "year", "target": 1989, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 4 + 8 + 13 * (13 * 13 - 10 - 7)", "solution_steps": ["13 × 13 = 169", "169 − 10 = 159", "159 − 7 = 152", "13 × 152 = 1976", "8 + 1976 = 1984", "4 + 1984 = 1988", "1 + 1988 = 1989"], "key": "year-1989-10♦4♠A♠K♠K♦K♥7♦8♣"} {"id": "train-year-0871", "level": "year", "target": 1909, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 5 + 12 * (11 + 12 * 13 - 8) - 6", "solution_steps": ["12 × 13 = 156", "11 + 156 = 167", "167 − 8 = 159", "12 × 159 = 1908", "1908 − 6 = 1902", "5 + 1902 = 1907", "2 + 1907 = 1909"], "key": "year-1909-8♣Q♦J♠Q♥5♦2♣K♠6♠"} {"id": "train-year-0872", "level": "year", "target": 1963, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 4 + 13 + 9 * 9 * (3 * 12 - 12)", "solution_steps": ["3 × 12 = 36", "36 − 12 = 24", "9 × 24 = 216", "9 × 216 = 1944", "13 + 1944 = 1957", "4 + 1957 = 1961", "2 + 1961 = 1963"], "key": "year-1963-Q♣4♥K♥2♦3♣9♦Q♠9♣"} {"id": "train-year-0873", "level": "year", "target": 1969, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "3 + 3 + (4 + 9) * (8 + 11 * (4 + 9))", "solution_steps": ["4 + 9 = 13", "4 + 9 = 13", "11 × 13 = 143", "8 + 143 = 151", "13 × 151 = 1963", "3 + 1963 = 1966", "3 + 1966 = 1969"], "key": "year-1969-3♥4♠J♣9♠3♣9♥8♦4♥"} {"id": "train-year-0874", "level": "year", "target": 2072, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "3 + 4 + 11 + 13 * (13 * (5 + 8) - 11)", "solution_steps": ["5 + 8 = 13", "13 × 13 = 169", "169 − 11 = 158", "13 × 158 = 2054", "11 + 2054 = 2065", "4 + 2065 = 2069", "3 + 2069 = 2072"], "key": "year-2072-K♥3♥J♣4♥8♦K♠J♠5♥"} {"id": "train-year-0875", "level": "year", "target": 2086, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 4 + 2 * 13 * (5 * 6 + 5 * 10)", "solution_steps": ["5 × 6 = 30", "5 × 10 = 50", "30 + 50 = 80", "13 × 80 = 1040", "2 × 1040 = 2080", "4 + 2080 = 2084", "2 + 2084 = 2086"], "key": "year-2086-5♥6♥4♠K♣2♦10♥5♠2♥"} {"id": "train-year-0876", "level": "year", "target": 2063, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 5 + 11 * (8 * (13 + 13) - 12 - 9)", "solution_steps": ["13 + 13 = 26", "8 × 26 = 208", "208 − 12 = 196", "196 − 9 = 187", "11 × 187 = 2057", "5 + 2057 = 2062", "1 + 2062 = 2063"], "key": "year-2063-8♥Q♥A♥5♣J♦K♥K♠9♥"} {"id": "train-year-0877", "level": "year", "target": 1901, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 9 * (4 * 7 * 8 - 13) - 2", "solution_steps": ["7 × 8 = 56", "4 × 56 = 224", "224 − 13 = 211", "9 × 211 = 1899", "3 + 1899 = 1902", "1902 − 2 = 1900", "1 + 1900 = 1901"], "key": "year-1901-8♦9♥2♣K♠A♥7♣4♦3♠"} {"id": "train-year-0878", "level": "year", "target": 2081, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 + (3 + 9) * (8 * (10 + 13) - 11)", "solution_steps": ["3 + 9 = 12", "10 + 13 = 23", "8 × 23 = 184", "184 − 11 = 173", "12 × 173 = 2076", "3 + 2076 = 2079", "2 + 2079 = 2081"], "key": "year-2081-J♣2♠3♥K♥10♥9♦8♣3♦"} {"id": "train-year-0879", "level": "year", "target": 1901, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "3 + 6 + (8 + 6 * 6) * (7 * 8 - 13)", "solution_steps": ["6 × 6 = 36", "8 + 36 = 44", "7 × 8 = 56", "56 − 13 = 43", "44 × 43 = 1892", "6 + 1892 = 1898", "3 + 1898 = 1901"], "key": "year-1901-7♦6♦3♣8♠8♣6♥K♦6♠"} {"id": "train-year-0880", "level": "year", "target": 2078, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 9 + 11 * (6 * (6 + 13 + 13) - 4)", "solution_steps": ["13 + 13 = 26", "6 + 26 = 32", "6 × 32 = 192", "192 − 4 = 188", "11 × 188 = 2068", "9 + 2068 = 2077", "1 + 2077 = 2078"], "key": "year-2078-4♦A♠9♠6♥K♣6♠J♠K♠"} {"id": "train-year-0881", "level": "year", "target": 2013, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 2 * (5 + 7 * 13 * (5 + 9 - 3))", "solution_steps": ["5 + 9 = 14", "14 − 3 = 11", "13 × 11 = 143", "7 × 143 = 1001", "5 + 1001 = 1006", "2 × 1006 = 2012", "1 + 2012 = 2013"], "key": "year-2013-A♥9♠5♥7♠K♣2♣3♦5♠"} {"id": "train-year-0882", "level": "year", "target": 2054, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "3 + (9 + 11) * (9 * 12 - 5) - 6 - 3", "solution_steps": ["9 + 11 = 20", "9 × 12 = 108", "108 − 5 = 103", "20 × 103 = 2060", "2060 − 6 = 2054", "2054 − 3 = 2051", "3 + 2051 = 2054"], "key": "year-2054-9♦5♣9♠Q♥3♣J♥3♥6♠"} {"id": "train-year-0883", "level": "year", "target": 2062, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 3 * 6 * (9 + 11 * (7 + 13)) / 2", "solution_steps": ["7 + 13 = 20", "11 × 20 = 220", "9 + 220 = 229", "6 × 229 = 1374", "3 × 1374 = 4122", "4122 ÷ 2 = 2061", "1 + 2061 = 2062"], "key": "year-2062-2♦9♣A♣3♠J♥6♣K♦7♥"} {"id": "train-year-0884", "level": "year", "target": 2002, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 9 + 12 * (4 + 7 + 12 * 13) - 12", "solution_steps": ["12 × 13 = 156", "7 + 156 = 163", "4 + 163 = 167", "12 × 167 = 2004", "2004 − 12 = 1992", "9 + 1992 = 2001", "1 + 2001 = 2002"], "key": "year-2002-4♠A♦K♥9♦Q♥Q♠7♠Q♦"} {"id": "train-year-0885", "level": "year", "target": 1999, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 1 * 3 * (6 + 11 * (8 * 9 - 12))", "solution_steps": ["8 × 9 = 72", "72 − 12 = 60", "11 × 60 = 660", "6 + 660 = 666", "3 × 666 = 1998", "1 × 1998 = 1998", "1 + 1998 = 1999"], "key": "year-1999-8♠3♥J♠9♠A♦6♥A♠Q♥"} {"id": "train-year-0886", "level": "year", "target": 1915, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 5 + 12 + 10 * 10 * (8 + 11) - 5", "solution_steps": ["8 + 11 = 19", "10 × 19 = 190", "10 × 190 = 1900", "12 + 1900 = 1912", "1912 − 5 = 1907", "5 + 1907 = 1912", "3 + 1912 = 1915"], "key": "year-1915-5♣3♣10♣10♠Q♦J♣5♦8♦"} {"id": "train-year-0887", "level": "year", "target": 1946, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 11 * (3 * (12 + 6 * 8) - 3) - 2", "solution_steps": ["6 × 8 = 48", "12 + 48 = 60", "3 × 60 = 180", "180 − 3 = 177", "11 × 177 = 1947", "1947 − 2 = 1945", "1 + 1945 = 1946"], "key": "year-1946-6♣A♠3♠8♠J♣3♥2♣Q♥"} {"id": "train-year-0888", "level": "year", "target": 1918, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + (9 + 10) * (9 * (4 + 8) - 7) - 2", "solution_steps": ["9 + 10 = 19", "4 + 8 = 12", "9 × 12 = 108", "108 − 7 = 101", "19 × 101 = 1919", "1919 − 2 = 1917", "1 + 1917 = 1918"], "key": "year-1918-9♥10♣7♥2♦8♥9♠A♣4♦"} {"id": "train-year-0889", "level": "year", "target": 1963, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 2 + 4 * (10 + 10 * 12 * (7 - 3))", "solution_steps": ["7 − 3 = 4", "12 × 4 = 48", "10 × 48 = 480", "10 + 480 = 490", "4 × 490 = 1960", "2 + 1960 = 1962", "1 + 1962 = 1963"], "key": "year-1963-2♥Q♥4♣10♦7♦3♦A♠10♥"} {"id": "train-year-0890", "level": "year", "target": 2046, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 4 + 8 * (7 + 10) * (9 + 11 - 5)", "solution_steps": ["7 + 10 = 17", "9 + 11 = 20", "20 − 5 = 15", "17 × 15 = 255", "8 × 255 = 2040", "4 + 2040 = 2044", "2 + 2044 = 2046"], "key": "year-2046-7♦2♥9♥J♣10♥8♠4♥5♥"} {"id": "train-year-0891", "level": "year", "target": 2045, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "3 + 6 + 11 * (10 + 11 * (3 + 13)) - 10", "solution_steps": ["3 + 13 = 16", "11 × 16 = 176", "10 + 176 = 186", "11 × 186 = 2046", "2046 − 10 = 2036", "6 + 2036 = 2042", "3 + 2042 = 2045"], "key": "year-2045-6♣K♦10♠3♣J♣J♠3♥10♣"} {"id": "train-year-0892", "level": "year", "target": 1993, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 6 + 10 * 10 * (8 + 12) - 13 - 1", "solution_steps": ["8 + 12 = 20", "10 × 20 = 200", "10 × 200 = 2000", "2000 − 13 = 1987", "6 + 1987 = 1993", "1993 − 1 = 1992", "1 + 1992 = 1993"], "key": "year-1993-6♠A♣K♦10♣10♠Q♣A♥8♥"} {"id": "train-year-0893", "level": "year", "target": 2036, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 3 + 4 * (10 + 6 * (11 + 8 * 9))", "solution_steps": ["8 × 9 = 72", "11 + 72 = 83", "6 × 83 = 498", "10 + 498 = 508", "4 × 508 = 2032", "3 + 2032 = 2035", "1 + 2035 = 2036"], "key": "year-2036-J♥9♠A♠6♠8♣4♦3♥10♦"} {"id": "train-year-0894", "level": "year", "target": 1957, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 5 + 11 + 10 * (7 * 12 + 10 * 11)", "solution_steps": ["7 × 12 = 84", "10 × 11 = 110", "84 + 110 = 194", "10 × 194 = 1940", "11 + 1940 = 1951", "5 + 1951 = 1956", "1 + 1956 = 1957"], "key": "year-1957-A♥5♠J♠Q♣10♦7♠10♠J♥"} {"id": "train-year-0895", "level": "year", "target": 2088, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 3 + 12 * (7 + 11 + 12 * 13) - 5", "solution_steps": ["12 × 13 = 156", "11 + 156 = 167", "7 + 167 = 174", "12 × 174 = 2088", "2088 − 5 = 2083", "3 + 2083 = 2086", "2 + 2086 = 2088"], "key": "year-2088-Q♦J♣7♦3♠K♣5♥Q♠2♥"} {"id": "train-year-0896", "level": "year", "target": 1941, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 + 11 * (6 + 10 * (3 * 8 - 7))", "solution_steps": ["3 × 8 = 24", "24 − 7 = 17", "10 × 17 = 170", "6 + 170 = 176", "11 × 176 = 1936", "3 + 1936 = 1939", "2 + 1939 = 1941"], "key": "year-1941-8♥J♣3♥6♥7♥2♥10♥3♦"} {"id": "train-year-0897", "level": "year", "target": 2051, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 5 + 10 + 10 + 8 * 11 * (10 + 13)", "solution_steps": ["10 + 13 = 23", "11 × 23 = 253", "8 × 253 = 2024", "10 + 2024 = 2034", "10 + 2034 = 2044", "5 + 2044 = 2049", "2 + 2049 = 2051"], "key": "year-2051-J♦10♦8♣10♥5♥10♣2♠K♣"} {"id": "train-year-0898", "level": "year", "target": 2065, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 8 * (1 + 1 + 8 * 8 * (13 - 9))", "solution_steps": ["13 − 9 = 4", "8 × 4 = 32", "8 × 32 = 256", "1 + 256 = 257", "1 + 257 = 258", "8 × 258 = 2064", "1 + 2064 = 2065"], "key": "year-2065-8♥8♦A♥9♥A♦8♣K♦A♣"} {"id": "train-year-0899", "level": "year", "target": 2083, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 2 * (6 + 9 * (3 + 7 * (7 + 9)))", "solution_steps": ["7 + 9 = 16", "7 × 16 = 112", "3 + 112 = 115", "9 × 115 = 1035", "6 + 1035 = 1041", "2 × 1041 = 2082", "1 + 2082 = 2083"], "key": "year-2083-A♣3♠7♦9♦9♥6♣7♥2♦"} {"id": "train-year-0900", "level": "year", "target": 2094, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 4 + 8 + 8 * 13 * (5 + 6 + 9)", "solution_steps": ["6 + 9 = 15", "5 + 15 = 20", "13 × 20 = 260", "8 × 260 = 2080", "8 + 2080 = 2088", "4 + 2088 = 2092", "2 + 2092 = 2094"], "key": "year-2094-9♣4♠8♣2♠6♠8♠5♦K♥"} {"id": "train-year-0901", "level": "year", "target": 2053, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 3 * (4 + 12 * (9 + 6 * 8) - 4)", "solution_steps": ["6 × 8 = 48", "9 + 48 = 57", "12 × 57 = 684", "684 − 4 = 680", "4 + 680 = 684", "3 × 684 = 2052", "1 + 2052 = 2053"], "key": "year-2053-Q♥9♣6♠4♠3♣4♣8♠A♠"} {"id": "train-year-0902", "level": "year", "target": 2008, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 4 + 6 * (11 + 4 * 9 * 9) - 7", "solution_steps": ["9 × 9 = 81", "4 × 81 = 324", "11 + 324 = 335", "6 × 335 = 2010", "2010 − 7 = 2003", "4 + 2003 = 2007", "1 + 2007 = 2008"], "key": "year-2008-J♠9♠6♦7♥4♣4♠9♦A♦"} {"id": "train-year-0903", "level": "year", "target": 1923, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 + 7 * 12 * (6 * 6 - 13) - 8 - 4", "solution_steps": ["6 × 6 = 36", "36 − 13 = 23", "12 × 23 = 276", "7 × 276 = 1932", "1932 − 8 = 1924", "1924 − 4 = 1920", "3 + 1920 = 1923"], "key": "year-1923-8♥3♥K♦4♠6♥6♠Q♦7♥"} {"id": "train-year-0904", "level": "year", "target": 2062, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 4 + 5 + 10 + 10 * 12 * (8 + 9)", "solution_steps": ["8 + 9 = 17", "12 × 17 = 204", "10 × 204 = 2040", "10 + 2040 = 2050", "5 + 2050 = 2055", "4 + 2055 = 2059", "3 + 2059 = 2062"], "key": "year-2062-10♥9♣3♥10♣Q♠5♦4♥8♥"} {"id": "train-year-0905", "level": "year", "target": 1954, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 7 * (3 + 2 * (6 + 2 * 6 * 11))", "solution_steps": ["6 × 11 = 66", "2 × 66 = 132", "6 + 132 = 138", "2 × 138 = 276", "3 + 276 = 279", "7 × 279 = 1953", "1 + 1953 = 1954"], "key": "year-1954-6♥6♠2♥2♣3♦7♠A♠J♣"} {"id": "train-year-0906", "level": "year", "target": 1998, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "5 + 8 * (9 + 11 * (11 + 11)) - 8 - 7", "solution_steps": ["11 + 11 = 22", "11 × 22 = 242", "9 + 242 = 251", "8 × 251 = 2008", "2008 − 8 = 2000", "2000 − 7 = 1993", "5 + 1993 = 1998"], "key": "year-1998-J♣5♥9♠8♣7♦8♥J♦J♠"} {"id": "train-year-0907", "level": "year", "target": 2042, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "3 + 9 * (7 * 11 + 10 * (7 + 8)) - 4", "solution_steps": ["7 × 11 = 77", "7 + 8 = 15", "10 × 15 = 150", "77 + 150 = 227", "9 × 227 = 2043", "2043 − 4 = 2039", "3 + 2039 = 2042"], "key": "year-2042-J♣3♠10♠7♣9♦7♦8♦4♣"} {"id": "train-year-0908", "level": "year", "target": 1960, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 4 + 7 + 10 * 13 * (7 + 8) - 2", "solution_steps": ["7 + 8 = 15", "13 × 15 = 195", "10 × 195 = 1950", "7 + 1950 = 1957", "4 + 1957 = 1961", "1961 − 2 = 1959", "1 + 1959 = 1960"], "key": "year-1960-7♦10♦2♦7♥4♥K♠A♥8♣"} {"id": "train-year-0909", "level": "year", "target": 2026, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 4 * (2 + 8 * (3 + 6 * 10))", "solution_steps": ["6 × 10 = 60", "3 + 60 = 63", "8 × 63 = 504", "2 + 504 = 506", "4 × 506 = 2024", "1 + 2024 = 2025", "1 + 2025 = 2026"], "key": "year-2026-8♣A♠4♥2♠10♦6♦3♠A♣"} {"id": "train-year-0910", "level": "year", "target": 1934, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 * 4 * 11 * (10 + 2 * 6) - 3", "solution_steps": ["2 × 6 = 12", "10 + 12 = 22", "11 × 22 = 242", "4 × 242 = 968", "2 × 968 = 1936", "1936 − 3 = 1933", "1 + 1933 = 1934"], "key": "year-1934-J♣3♦2♠2♥6♣4♦10♣A♥"} {"id": "train-year-0911", "level": "year", "target": 1936, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "2 + 5 + (8 + 11) * (6 + 8 * 12) - 9", "solution_steps": ["8 + 11 = 19", "8 × 12 = 96", "6 + 96 = 102", "19 × 102 = 1938", "1938 − 9 = 1929", "5 + 1929 = 1934", "2 + 1934 = 1936"], "key": "year-1936-5♦Q♦8♦9♥2♠6♥J♥8♣"} {"id": "train-year-0912", "level": "year", "target": 2056, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 + 5 * (4 * 8 * 13 - 3) - 11", "solution_steps": ["8 × 13 = 104", "4 × 104 = 416", "416 − 3 = 413", "5 × 413 = 2065", "2065 − 11 = 2054", "1 + 2054 = 2055", "1 + 2055 = 2056"], "key": "year-2056-3♠4♣5♥A♦J♥8♣K♦A♥"} {"id": "train-year-0913", "level": "year", "target": 1917, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + (3 + 4 + 12) * (10 * 11 - 9) - 3", "solution_steps": ["4 + 12 = 16", "3 + 16 = 19", "10 × 11 = 110", "110 − 9 = 101", "19 × 101 = 1919", "1919 − 3 = 1916", "1 + 1916 = 1917"], "key": "year-1917-3♥10♣J♣9♣A♥Q♠4♠3♦"} {"id": "train-year-0914", "level": "year", "target": 2075, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 5 + 13 * (12 + 12 * 13 - 8) - 11", "solution_steps": ["12 × 13 = 156", "12 + 156 = 168", "168 − 8 = 160", "13 × 160 = 2080", "2080 − 11 = 2069", "5 + 2069 = 2074", "1 + 2074 = 2075"], "key": "year-2075-8♥5♥Q♠K♣A♦K♠J♠Q♥"} {"id": "train-year-0915", "level": "year", "target": 2020, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 4 + 12 + 7 * 13 * (5 + 8 + 9)", "solution_steps": ["8 + 9 = 17", "5 + 17 = 22", "13 × 22 = 286", "7 × 286 = 2002", "12 + 2002 = 2014", "4 + 2014 = 2018", "2 + 2018 = 2020"], "key": "year-2020-7♣4♥8♠K♦Q♥2♥9♥5♥"} {"id": "train-year-0916", "level": "year", "target": 2054, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 1 + 13 * (6 + 8 * (8 + 11)) - 2", "solution_steps": ["8 + 11 = 19", "8 × 19 = 152", "6 + 152 = 158", "13 × 158 = 2054", "2054 − 2 = 2052", "1 + 2052 = 2053", "1 + 2053 = 2054"], "key": "year-2054-6♠J♦2♣A♣A♦8♥K♠8♣"} {"id": "train-year-0917", "level": "year", "target": 2047, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 4 + 10 + (8 + 8) * (11 * 12 - 5)", "solution_steps": ["8 + 8 = 16", "11 × 12 = 132", "132 − 5 = 127", "16 × 127 = 2032", "10 + 2032 = 2042", "4 + 2042 = 2046", "1 + 2046 = 2047"], "key": "year-2047-8♥4♣8♠J♣Q♦10♠5♦A♥"} {"id": "train-year-0918", "level": "year", "target": 2078, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 4 * 13 * (7 + 9 + 11 + 13) - 3", "solution_steps": ["11 + 13 = 24", "9 + 24 = 33", "7 + 33 = 40", "13 × 40 = 520", "4 × 520 = 2080", "2080 − 3 = 2077", "1 + 2077 = 2078"], "key": "year-2078-J♥3♥7♣4♣A♥K♥K♣9♥"} {"id": "train-year-0919", "level": "year", "target": 1950, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 4 + 12 * (3 + 13 * (3 + 10) - 10)", "solution_steps": ["3 + 10 = 13", "13 × 13 = 169", "169 − 10 = 159", "3 + 159 = 162", "12 × 162 = 1944", "4 + 1944 = 1948", "2 + 1948 = 1950"], "key": "year-1950-2♣Q♦10♦10♥K♣4♣3♦3♣"} {"id": "train-year-0920", "level": "year", "target": 1919, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 4 + 11 * (5 + 8 * (10 + 12) - 7)", "solution_steps": ["10 + 12 = 22", "8 × 22 = 176", "176 − 7 = 169", "5 + 169 = 174", "11 × 174 = 1914", "4 + 1914 = 1918", "1 + 1918 = 1919"], "key": "year-1919-J♥4♦Q♣7♠8♠A♠10♣5♦"} {"id": "train-year-0921", "level": "year", "target": 2073, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 3 + 10 + 11 * 11 * (4 + 13)", "solution_steps": ["4 + 13 = 17", "11 × 17 = 187", "11 × 187 = 2057", "10 + 2057 = 2067", "3 + 2067 = 2070", "2 + 2070 = 2072", "1 + 2072 = 2073"], "key": "year-2073-3♠J♣4♥A♣K♠10♠J♦2♠"} {"id": "train-year-0922", "level": "year", "target": 2100, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 5 + 7 * 12 * (5 + 7 + 13) - 8", "solution_steps": ["7 + 13 = 20", "5 + 20 = 25", "12 × 25 = 300", "7 × 300 = 2100", "2100 − 8 = 2092", "5 + 2092 = 2097", "3 + 2097 = 2100"], "key": "year-2100-7♠Q♠5♠5♣7♥3♦K♠8♥"} {"id": "train-year-0923", "level": "year", "target": 2076, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "5 + 7 + 12 + 9 * (8 + 10 * (11 + 11))", "solution_steps": ["11 + 11 = 22", "10 × 22 = 220", "8 + 220 = 228", "9 × 228 = 2052", "12 + 2052 = 2064", "7 + 2064 = 2071", "5 + 2071 = 2076"], "key": "year-2076-7♦10♣J♥9♦8♣5♦Q♣J♦"} {"id": "train-year-0924", "level": "year", "target": 1981, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 10 + 11 * (13 * (5 + 9) - 3)", "solution_steps": ["5 + 9 = 14", "13 × 14 = 182", "182 − 3 = 179", "11 × 179 = 1969", "10 + 1969 = 1979", "1 + 1979 = 1980", "1 + 1980 = 1981"], "key": "year-1981-K♠J♦9♠3♥5♠10♥A♣A♠"} {"id": "train-year-0925", "level": "year", "target": 1956, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + 8 + 12 / 12 + 9 * 12 * (5 + 13)", "solution_steps": ["12 ÷ 12 = 1", "5 + 13 = 18", "12 × 18 = 216", "9 × 216 = 1944", "1 + 1944 = 1945", "8 + 1945 = 1953", "3 + 1953 = 1956"], "key": "year-1956-K♦8♠3♦Q♠9♠Q♣5♥Q♥"} {"id": "train-year-0926", "level": "year", "target": 1984, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 + 5 + 8 + 12 * (9 + 12 * 13) - 13", "solution_steps": ["12 × 13 = 156", "9 + 156 = 165", "12 × 165 = 1980", "1980 − 13 = 1967", "8 + 1967 = 1975", "5 + 1975 = 1980", "4 + 1980 = 1984"], "key": "year-1984-9♣Q♣K♣K♥Q♦5♦8♣4♦"} {"id": "train-year-0927", "level": "year", "target": 2066, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 3 + 5 + 11 * (13 * (6 + 9) - 8)", "solution_steps": ["6 + 9 = 15", "13 × 15 = 195", "195 − 8 = 187", "11 × 187 = 2057", "5 + 2057 = 2062", "3 + 2062 = 2065", "1 + 2065 = 2066"], "key": "year-2066-J♠3♠K♠A♦9♦8♥5♥6♥"} {"id": "train-year-0928", "level": "year", "target": 1947, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 2 + 2 * 12 * (1 + 4 * (8 + 12))", "solution_steps": ["8 + 12 = 20", "4 × 20 = 80", "1 + 80 = 81", "12 × 81 = 972", "2 × 972 = 1944", "2 + 1944 = 1946", "1 + 1946 = 1947"], "key": "year-1947-A♥2♠8♣Q♣2♦A♦Q♠4♥"} {"id": "train-year-0929", "level": "year", "target": 1945, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 4 * 9 * (7 + 11) * (8 + 13) / 7", "solution_steps": ["7 + 11 = 18", "8 + 13 = 21", "18 × 21 = 378", "9 × 378 = 3402", "3402 ÷ 7 = 486", "4 × 486 = 1944", "1 + 1944 = 1945"], "key": "year-1945-A♦7♥K♦J♥8♦7♣9♣4♥"} {"id": "train-year-0930", "level": "year", "target": 2025, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 + 10 * (5 + 11 * (6 + 13) - 12)", "solution_steps": ["6 + 13 = 19", "11 × 19 = 209", "209 − 12 = 197", "5 + 197 = 202", "10 × 202 = 2020", "3 + 2020 = 2023", "2 + 2023 = 2025"], "key": "year-2025-K♥2♣6♣Q♠5♣J♥10♣3♦"} {"id": "train-year-0931", "level": "year", "target": 2063, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 4 + 11 * (5 + 7 * 13 * (7 - 5))", "solution_steps": ["7 − 5 = 2", "13 × 2 = 26", "7 × 26 = 182", "5 + 182 = 187", "11 × 187 = 2057", "4 + 2057 = 2061", "2 + 2061 = 2063"], "key": "year-2063-5♠4♠7♥7♣J♦K♦2♦5♥"} {"id": "train-year-0932", "level": "year", "target": 2060, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 2 + 11 * (8 + 9) * (9 + 10 / 5)", "solution_steps": ["8 + 9 = 17", "10 ÷ 5 = 2", "9 + 2 = 11", "17 × 11 = 187", "11 × 187 = 2057", "2 + 2057 = 2059", "1 + 2059 = 2060"], "key": "year-2060-5♠9♥J♦9♠10♠2♦A♠8♥"} {"id": "train-year-0933", "level": "year", "target": 1994, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 * (8 + 8 * (2 + 2 * 5 * 8))", "solution_steps": ["5 × 8 = 40", "2 × 40 = 80", "2 + 80 = 82", "8 × 82 = 656", "8 + 656 = 664", "3 × 664 = 1992", "2 + 1992 = 1994"], "key": "year-1994-8♣5♠8♥8♠2♠2♣2♥3♠"} {"id": "train-year-0934", "level": "year", "target": 2083, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 5 + 9 * 11 * (5 + 5 + 11) - 3", "solution_steps": ["5 + 11 = 16", "5 + 16 = 21", "11 × 21 = 231", "9 × 231 = 2079", "5 + 2079 = 2084", "2084 − 3 = 2081", "2 + 2081 = 2083"], "key": "year-2083-5♥5♣J♥5♠3♦2♠J♦9♦"} {"id": "train-year-0935", "level": "year", "target": 1947, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 5 + 5 * ((7 + 8) * (13 + 13) - 2)", "solution_steps": ["7 + 8 = 15", "13 + 13 = 26", "15 × 26 = 390", "390 − 2 = 388", "5 × 388 = 1940", "5 + 1940 = 1945", "2 + 1945 = 1947"], "key": "year-1947-2♥7♦2♠5♣K♥8♠5♦K♣"} {"id": "train-year-0936", "level": "year", "target": 1937, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + 2 + 7 * 12 * (4 + 8 + 11)", "solution_steps": ["8 + 11 = 19", "4 + 19 = 23", "12 × 23 = 276", "7 × 276 = 1932", "2 + 1932 = 1934", "2 + 1934 = 1936", "1 + 1936 = 1937"], "key": "year-1937-2♠8♣2♥A♦7♦J♣Q♦4♠"} {"id": "train-year-0937", "level": "year", "target": 1910, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 + 8 * 10 * (3 * 9 - 3) - 13", "solution_steps": ["3 × 9 = 27", "27 − 3 = 24", "10 × 24 = 240", "8 × 240 = 1920", "1920 − 13 = 1907", "2 + 1907 = 1909", "1 + 1909 = 1910"], "key": "year-1910-10♠9♦3♣8♣3♥K♠2♣A♥"} {"id": "train-year-0938", "level": "year", "target": 2085, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 4 + 10 * (11 - 7) * (6 * 10 - 8)", "solution_steps": ["11 − 7 = 4", "6 × 10 = 60", "60 − 8 = 52", "4 × 52 = 208", "10 × 208 = 2080", "4 + 2080 = 2084", "1 + 2084 = 2085"], "key": "year-2085-8♦10♦10♥J♣6♦7♦A♠4♣"} {"id": "train-year-0939", "level": "year", "target": 2067, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + 11 + 6 * (3 * 9 * 13 - 9)", "solution_steps": ["9 × 13 = 117", "3 × 117 = 351", "351 − 9 = 342", "6 × 342 = 2052", "11 + 2052 = 2063", "2 + 2063 = 2065", "2 + 2065 = 2067"], "key": "year-2067-2♦9♥9♣6♦J♣3♦K♣2♥"} {"id": "train-year-0940", "level": "year", "target": 1937, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "4 + 13 + (6 + 12) * (7 + 10 * 10) - 6", "solution_steps": ["6 + 12 = 18", "10 × 10 = 100", "7 + 100 = 107", "18 × 107 = 1926", "13 + 1926 = 1939", "1939 − 6 = 1933", "4 + 1933 = 1937"], "key": "year-1937-6♦Q♠10♣6♥K♥10♦4♠7♥"} {"id": "train-year-0941", "level": "year", "target": 1963, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 5 + 10 * (7 + 10 * (9 + 10)) - 13", "solution_steps": ["9 + 10 = 19", "10 × 19 = 190", "7 + 190 = 197", "10 × 197 = 1970", "1970 − 13 = 1957", "5 + 1957 = 1962", "1 + 1962 = 1963"], "key": "year-1963-10♠9♦K♠A♦5♠7♦10♥10♦"} {"id": "train-year-0942", "level": "year", "target": 2091, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 2 + 8 + 13 * (12 - 2) * (5 + 11)", "solution_steps": ["12 − 2 = 10", "5 + 11 = 16", "10 × 16 = 160", "13 × 160 = 2080", "8 + 2080 = 2088", "2 + 2088 = 2090", "1 + 2090 = 2091"], "key": "year-2091-A♥5♠K♥2♦2♣Q♦J♦8♣"} {"id": "train-year-0943", "level": "year", "target": 1984, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + 3 * 11 * (6 + 6 * (13 - 4))", "solution_steps": ["13 − 4 = 9", "6 × 9 = 54", "6 + 54 = 60", "11 × 60 = 660", "3 × 660 = 1980", "2 + 1980 = 1982", "2 + 1982 = 1984"], "key": "year-1984-6♥K♠4♠6♣J♣3♣2♠2♥"} {"id": "train-year-0944", "level": "year", "target": 2008, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 4 * 12 * (12 + 3 * 10) - 7 - 2", "solution_steps": ["3 × 10 = 30", "12 + 30 = 42", "12 × 42 = 504", "4 × 504 = 2016", "2016 − 7 = 2009", "2009 − 2 = 2007", "1 + 2007 = 2008"], "key": "year-2008-Q♠3♠A♣2♥Q♥7♣4♠10♥"} {"id": "train-year-0945", "level": "year", "target": 1937, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 2 * (12 * (1 + 7 * 12 - 4) - 4)", "solution_steps": ["7 × 12 = 84", "84 − 4 = 80", "1 + 80 = 81", "12 × 81 = 972", "972 − 4 = 968", "2 × 968 = 1936", "1 + 1936 = 1937"], "key": "year-1937-Q♣7♠Q♥4♣A♣2♣A♠4♥"} {"id": "train-year-0946", "level": "year", "target": 1987, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 8 * 8 * (10 * (9 + 13) - 3) / 7", "solution_steps": ["9 + 13 = 22", "10 × 22 = 220", "220 − 3 = 217", "8 × 217 = 1736", "8 × 1736 = 13888", "13888 ÷ 7 = 1984", "3 + 1984 = 1987"], "key": "year-1987-10♦K♦3♣3♥8♣9♠7♦8♥"} {"id": "train-year-0947", "level": "year", "target": 1929, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 4 + 8 * 10 * (3 + 9 + 12)", "solution_steps": ["9 + 12 = 21", "3 + 21 = 24", "10 × 24 = 240", "8 × 240 = 1920", "4 + 1920 = 1924", "3 + 1924 = 1927", "2 + 1927 = 1929"], "key": "year-1929-4♣9♠3♦2♥Q♥10♣8♥3♠"} {"id": "train-year-0948", "level": "year", "target": 2066, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 5 + 8 + 12 * (6 * 12 + 9 * 11)", "solution_steps": ["6 × 12 = 72", "9 × 11 = 99", "72 + 99 = 171", "12 × 171 = 2052", "8 + 2052 = 2060", "5 + 2060 = 2065", "1 + 2065 = 2066"], "key": "year-2066-6♣A♣Q♠8♠9♦J♣Q♥5♦"} {"id": "train-year-0949", "level": "year", "target": 2027, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 2 * (5 + 8 * (9 + 9 * (3 + 10)))", "solution_steps": ["3 + 10 = 13", "9 × 13 = 117", "9 + 117 = 126", "8 × 126 = 1008", "5 + 1008 = 1013", "2 × 1013 = 2026", "1 + 2026 = 2027"], "key": "year-2027-5♥A♥9♠9♣10♠3♠8♣2♦"} {"id": "train-year-0950", "level": "year", "target": 1934, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + (6 + 9) * (10 + 7 * (7 + 10)) - 3", "solution_steps": ["6 + 9 = 15", "7 + 10 = 17", "7 × 17 = 119", "10 + 119 = 129", "15 × 129 = 1935", "1935 − 3 = 1932", "2 + 1932 = 1934"], "key": "year-1934-2♠9♠7♠6♣3♣10♠10♥7♦"} {"id": "train-year-0951", "level": "year", "target": 1911, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 5 + (7 + 11) * (10 * 11 - 4) - 3", "solution_steps": ["7 + 11 = 18", "10 × 11 = 110", "110 − 4 = 106", "18 × 106 = 1908", "5 + 1908 = 1913", "1913 − 3 = 1910", "1 + 1910 = 1911"], "key": "year-1911-J♥A♦4♠J♣3♣10♠7♣5♦"} {"id": "train-year-0952", "level": "year", "target": 1996, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 3 + 12 * (5 * (10 + 11 + 13) - 4)", "solution_steps": ["11 + 13 = 24", "10 + 24 = 34", "5 × 34 = 170", "170 − 4 = 166", "12 × 166 = 1992", "3 + 1992 = 1995", "1 + 1995 = 1996"], "key": "year-1996-10♥4♦5♠K♣3♣Q♦J♦A♦"} {"id": "train-year-0953", "level": "year", "target": 2062, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "4 + 7 + 7 * (5 + (5 + 11) * (8 + 10))", "solution_steps": ["5 + 11 = 16", "8 + 10 = 18", "16 × 18 = 288", "5 + 288 = 293", "7 × 293 = 2051", "7 + 2051 = 2058", "4 + 2058 = 2062"], "key": "year-2062-10♦5♠7♦5♥J♦4♥8♥7♥"} {"id": "train-year-0954", "level": "year", "target": 2033, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 12 * (4 + 12 * (6 * 8 - 6)) / 3", "solution_steps": ["6 × 8 = 48", "48 − 6 = 42", "12 × 42 = 504", "4 + 504 = 508", "12 × 508 = 6096", "6096 ÷ 3 = 2032", "1 + 2032 = 2033"], "key": "year-2033-6♠3♥4♥Q♦A♦6♦Q♣8♥"} {"id": "train-year-0955", "level": "year", "target": 2039, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 6 + 9 * 12 * (7 + 12) - 13 - 7", "solution_steps": ["7 + 12 = 19", "12 × 19 = 228", "9 × 228 = 2052", "2052 − 13 = 2039", "2039 − 7 = 2032", "6 + 2032 = 2038", "1 + 2038 = 2039"], "key": "year-2039-Q♠6♣Q♣K♣7♦9♣A♦7♣"} {"id": "train-year-0956", "level": "year", "target": 2007, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "5 + 10 + (9 + 11) * (9 * 12 - 8) - 8", "solution_steps": ["9 + 11 = 20", "9 × 12 = 108", "108 − 8 = 100", "20 × 100 = 2000", "10 + 2000 = 2010", "2010 − 8 = 2002", "5 + 2002 = 2007"], "key": "year-2007-9♥8♦5♦10♣9♠J♠8♠Q♠"} {"id": "train-year-0957", "level": "year", "target": 2024, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "2 + 2 + 7 + 11 * (12 * (3 + 13) - 9)", "solution_steps": ["3 + 13 = 16", "12 × 16 = 192", "192 − 9 = 183", "11 × 183 = 2013", "7 + 2013 = 2020", "2 + 2020 = 2022", "2 + 2022 = 2024"], "key": "year-2024-J♠2♠3♥2♦9♠7♦K♠Q♥"} {"id": "train-year-0958", "level": "year", "target": 1993, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 2 + 10 + 5 * 12 * (4 * 10 - 7)", "solution_steps": ["4 × 10 = 40", "40 − 7 = 33", "12 × 33 = 396", "5 × 396 = 1980", "10 + 1980 = 1990", "2 + 1990 = 1992", "1 + 1992 = 1993"], "key": "year-1993-10♥4♥A♣2♣5♥10♣7♦Q♣"} {"id": "train-year-0959", "level": "year", "target": 1900, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 11 * (3 * 6 * 10 - 7) - 6", "solution_steps": ["6 × 10 = 60", "3 × 60 = 180", "180 − 7 = 173", "11 × 173 = 1903", "1903 − 6 = 1897", "2 + 1897 = 1899", "1 + 1899 = 1900"], "key": "year-1900-10♥3♦7♥6♣6♥J♣A♠2♠"} {"id": "train-year-0960", "level": "year", "target": 2053, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 2 + 3 * 12 * (7 * 9 - 6) - 3", "solution_steps": ["7 × 9 = 63", "63 − 6 = 57", "12 × 57 = 684", "3 × 684 = 2052", "2052 − 3 = 2049", "2 + 2049 = 2051", "2 + 2051 = 2053"], "key": "year-2053-7♦2♣Q♥3♠3♦6♠2♦9♦"} {"id": "train-year-0961", "level": "year", "target": 2076, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 4 + 9 * (10 - 8) * (7 + 9 * 12)", "solution_steps": ["10 − 8 = 2", "9 × 12 = 108", "7 + 108 = 115", "2 × 115 = 230", "9 × 230 = 2070", "4 + 2070 = 2074", "2 + 2074 = 2076"], "key": "year-2076-10♣2♥Q♦9♦8♦9♠7♠4♦"} {"id": "train-year-0962", "level": "year", "target": 1996, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 3 + 11 * (9 + 12 / 4 + 13 * 13)", "solution_steps": ["12 ÷ 4 = 3", "13 × 13 = 169", "3 + 169 = 172", "9 + 172 = 181", "11 × 181 = 1991", "3 + 1991 = 1994", "2 + 1994 = 1996"], "key": "year-1996-3♦K♠2♠J♣4♣K♦9♠Q♦"} {"id": "train-year-0963", "level": "year", "target": 2054, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 2 + 12 * (12 * (4 + 11) - 8) - 13", "solution_steps": ["4 + 11 = 15", "12 × 15 = 180", "180 − 8 = 172", "12 × 172 = 2064", "2064 − 13 = 2051", "2 + 2051 = 2053", "1 + 2053 = 2054"], "key": "year-2054-8♦Q♥Q♣4♣J♥K♣2♠A♦"} {"id": "train-year-0964", "level": "year", "target": 2085, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "(1 + 4) * (1 + 4 * (1 + 7) * (2 + 11))", "solution_steps": ["1 + 4 = 5", "1 + 7 = 8", "2 + 11 = 13", "8 × 13 = 104", "4 × 104 = 416", "1 + 416 = 417", "5 × 417 = 2085"], "key": "year-2085-A♠A♥2♠7♠4♦J♥A♣4♥"} {"id": "train-year-0965", "level": "year", "target": 2053, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 5 + 12 * (6 + 13 * 13 - 4) - 5", "solution_steps": ["13 × 13 = 169", "6 + 169 = 175", "175 − 4 = 171", "12 × 171 = 2052", "2052 − 5 = 2047", "5 + 2047 = 2052", "1 + 2052 = 2053"], "key": "year-2053-4♥K♥5♠A♥K♣Q♠5♣6♠"} {"id": "train-year-0966", "level": "year", "target": 1924, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "3 + 4 + 6 + 13 * (10 * (7 + 9) - 13)", "solution_steps": ["7 + 9 = 16", "10 × 16 = 160", "160 − 13 = 147", "13 × 147 = 1911", "6 + 1911 = 1917", "4 + 1917 = 1921", "3 + 1921 = 1924"], "key": "year-1924-K♥10♠4♦3♦K♣9♠6♥7♠"} {"id": "train-year-0967", "level": "year", "target": 1955, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 4 * 8 * (10 + 5 * 11 - 4)", "solution_steps": ["5 × 11 = 55", "10 + 55 = 65", "65 − 4 = 61", "8 × 61 = 488", "4 × 488 = 1952", "2 + 1952 = 1954", "1 + 1954 = 1955"], "key": "year-1955-8♣4♣5♠4♥10♥J♠2♥A♣"} {"id": "train-year-0968", "level": "year", "target": 1998, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 8 + 7 * (12 + 13 * (8 + 13)) - 6", "solution_steps": ["8 + 13 = 21", "13 × 21 = 273", "12 + 273 = 285", "7 × 285 = 1995", "8 + 1995 = 2003", "2003 − 6 = 1997", "1 + 1997 = 1998"], "key": "year-1998-K♥6♦A♠8♥8♣7♣Q♠K♠"} {"id": "train-year-0969", "level": "year", "target": 2023, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 5 + (10 + 13) * (9 * 11 - 11) - 8", "solution_steps": ["10 + 13 = 23", "9 × 11 = 99", "99 − 11 = 88", "23 × 88 = 2024", "2024 − 8 = 2016", "5 + 2016 = 2021", "2 + 2021 = 2023"], "key": "year-2023-2♣J♣J♠10♥9♠5♣8♣K♦"} {"id": "train-year-0970", "level": "year", "target": 2071, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 3 + 3 * 7 * 9 * 11 - 10 - 3", "solution_steps": ["9 × 11 = 99", "7 × 99 = 693", "3 × 693 = 2079", "2079 − 10 = 2069", "2069 − 3 = 2066", "3 + 2066 = 2069", "2 + 2069 = 2071"], "key": "year-2071-3♠J♥10♠7♦3♦2♥9♥3♥"} {"id": "train-year-0971", "level": "year", "target": 2034, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 9 + 11 + 11 * (12 * (3 + 13) - 9)", "solution_steps": ["3 + 13 = 16", "12 × 16 = 192", "192 − 9 = 183", "11 × 183 = 2013", "11 + 2013 = 2024", "9 + 2024 = 2033", "1 + 2033 = 2034"], "key": "year-2034-J♥9♣Q♠A♦3♦J♣9♥K♣"} {"id": "train-year-0972", "level": "year", "target": 1985, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 1 + 9 * 13 * (7 + 12 - 2) - 6", "solution_steps": ["7 + 12 = 19", "19 − 2 = 17", "13 × 17 = 221", "9 × 221 = 1989", "1989 − 6 = 1983", "1 + 1983 = 1984", "1 + 1984 = 1985"], "key": "year-1985-6♣7♥A♣2♥K♦A♠9♥Q♦"} {"id": "train-year-0973", "level": "year", "target": 2095, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "4 + 7 + 8 + 12 * (13 + 8 * (9 + 11))", "solution_steps": ["9 + 11 = 20", "8 × 20 = 160", "13 + 160 = 173", "12 × 173 = 2076", "8 + 2076 = 2084", "7 + 2084 = 2091", "4 + 2091 = 2095"], "key": "year-2095-9♣8♣K♣Q♣J♥7♦4♥8♥"} {"id": "train-year-0974", "level": "year", "target": 2091, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 5 * (10 * (5 * 11 - 12) - 11) - 6", "solution_steps": ["5 × 11 = 55", "55 − 12 = 43", "10 × 43 = 430", "430 − 11 = 419", "5 × 419 = 2095", "2095 − 6 = 2089", "2 + 2089 = 2091"], "key": "year-2091-6♠5♣Q♠J♣2♣10♦J♦5♦"} {"id": "train-year-0975", "level": "year", "target": 1984, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 5 + 10 * (5 * 6 * 7 - 12) - 3", "solution_steps": ["6 × 7 = 42", "5 × 42 = 210", "210 − 12 = 198", "10 × 198 = 1980", "5 + 1980 = 1985", "1985 − 3 = 1982", "2 + 1982 = 1984"], "key": "year-1984-Q♦5♠10♠5♦6♣2♦7♥3♣"} {"id": "train-year-0976", "level": "year", "target": 1909, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 6 + 6 * (6 + 12 * (13 + 13)) - 7", "solution_steps": ["13 + 13 = 26", "12 × 26 = 312", "6 + 312 = 318", "6 × 318 = 1908", "1908 − 7 = 1901", "6 + 1901 = 1907", "2 + 1907 = 1909"], "key": "year-1909-2♥7♥6♥Q♣K♠K♥6♦6♣"} {"id": "train-year-0977", "level": "year", "target": 2022, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "6 + 7 + 9 + 8 * (10 + 12 * (9 + 11))", "solution_steps": ["9 + 11 = 20", "12 × 20 = 240", "10 + 240 = 250", "8 × 250 = 2000", "9 + 2000 = 2009", "7 + 2009 = 2016", "6 + 2016 = 2022"], "key": "year-2022-J♦6♦7♣9♥Q♠10♠9♠8♥"} {"id": "train-year-0978", "level": "year", "target": 1913, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 11 * (5 + 13 * 13 * (9 - 8)) - 2", "solution_steps": ["9 − 8 = 1", "13 × 1 = 13", "13 × 13 = 169", "5 + 169 = 174", "11 × 174 = 1914", "1914 − 2 = 1912", "1 + 1912 = 1913"], "key": "year-1913-K♥K♣9♣J♥8♣5♥A♠2♦"} {"id": "train-year-0979", "level": "year", "target": 2000, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 8 * (12 * (9 * 10 - 6) - 9) / 4", "solution_steps": ["9 × 10 = 90", "90 − 6 = 84", "12 × 84 = 1008", "1008 − 9 = 999", "8 × 999 = 7992", "7992 ÷ 4 = 1998", "2 + 1998 = 2000"], "key": "year-2000-10♥9♥8♦2♣9♣Q♠4♣6♣"} {"id": "train-year-0980", "level": "year", "target": 1956, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 10 * (7 + 10) * (5 * 11 - 9) / 4", "solution_steps": ["7 + 10 = 17", "5 × 11 = 55", "55 − 9 = 46", "17 × 46 = 782", "10 × 782 = 7820", "7820 ÷ 4 = 1955", "1 + 1955 = 1956"], "key": "year-1956-5♦10♣10♦7♣J♣A♦9♦4♦"} {"id": "train-year-0981", "level": "year", "target": 2084, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 6 + 3 * 7 * (11 + 8 * 11) - 2", "solution_steps": ["8 × 11 = 88", "11 + 88 = 99", "7 × 99 = 693", "3 × 693 = 2079", "6 + 2079 = 2085", "2085 − 2 = 2083", "1 + 2083 = 2084"], "key": "year-2084-3♥J♥A♥8♥7♦J♣6♣2♣"} {"id": "train-year-0982", "level": "year", "target": 1959, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 11 * (6 + 6) * (9 + 8 * 10) / 6", "solution_steps": ["6 + 6 = 12", "8 × 10 = 80", "9 + 80 = 89", "12 × 89 = 1068", "11 × 1068 = 11748", "11748 ÷ 6 = 1958", "1 + 1958 = 1959"], "key": "year-1959-J♦9♣6♠10♣6♦8♦A♣6♣"} {"id": "train-year-0983", "level": "year", "target": 2035, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "4 + 10 * (9 + 5 * (7 * 7 - 10)) - 9", "solution_steps": ["7 × 7 = 49", "49 − 10 = 39", "5 × 39 = 195", "9 + 195 = 204", "10 × 204 = 2040", "2040 − 9 = 2031", "4 + 2031 = 2035"], "key": "year-2035-9♦5♦10♦9♥7♥4♣10♣7♦"} {"id": "train-year-0984", "level": "year", "target": 2013, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 4 + 7 * 8 * 12 * (12 - 9) - 10", "solution_steps": ["12 − 9 = 3", "12 × 3 = 36", "8 × 36 = 288", "7 × 288 = 2016", "2016 − 10 = 2006", "4 + 2006 = 2010", "3 + 2010 = 2013"], "key": "year-2013-9♣10♦7♦4♣3♣Q♦Q♣8♥"} {"id": "train-year-0985", "level": "year", "target": 2030, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 3 + 12 * 13 * (7 + 11 - 5) - 4", "solution_steps": ["7 + 11 = 18", "18 − 5 = 13", "13 × 13 = 169", "12 × 169 = 2028", "2028 − 4 = 2024", "3 + 2024 = 2027", "3 + 2027 = 2030"], "key": "year-2030-K♦Q♦5♠3♦4♦3♥J♦7♦"} {"id": "train-year-0986", "level": "year", "target": 1919, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "3 + 5 + 7 * (9 + 12 * (10 + 13) - 12)", "solution_steps": ["10 + 13 = 23", "12 × 23 = 276", "276 − 12 = 264", "9 + 264 = 273", "7 × 273 = 1911", "5 + 1911 = 1916", "3 + 1916 = 1919"], "key": "year-1919-K♣5♦Q♣10♥Q♥7♥3♠9♦"} {"id": "train-year-0987", "level": "year", "target": 1985, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 8 * 8 * (5 + 4 * (10 + 12)) / 3", "solution_steps": ["10 + 12 = 22", "4 × 22 = 88", "5 + 88 = 93", "8 × 93 = 744", "8 × 744 = 5952", "5952 ÷ 3 = 1984", "1 + 1984 = 1985"], "key": "year-1985-5♦Q♦8♦A♦8♥4♣3♣10♦"} {"id": "train-year-0988", "level": "year", "target": 2049, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 2 * 4 * 8 * 8 * (7 - 9 / 3)", "solution_steps": ["9 ÷ 3 = 3", "7 − 3 = 4", "8 × 4 = 32", "8 × 32 = 256", "4 × 256 = 1024", "2 × 1024 = 2048", "1 + 2048 = 2049"], "key": "year-2049-9♦4♥7♠2♠3♣A♠8♠8♦"} {"id": "train-year-0989", "level": "year", "target": 2055, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "4 + 8 * (5 + 9 * (7 + 8 + 13)) - 5", "solution_steps": ["8 + 13 = 21", "7 + 21 = 28", "9 × 28 = 252", "5 + 252 = 257", "8 × 257 = 2056", "2056 − 5 = 2051", "4 + 2051 = 2055"], "key": "year-2055-5♥K♠9♣7♠8♥8♦4♠5♣"} {"id": "train-year-0990", "level": "year", "target": 1940, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "3 + 10 * (4 + 11) * (6 + 7) - 9 - 4", "solution_steps": ["4 + 11 = 15", "6 + 7 = 13", "15 × 13 = 195", "10 × 195 = 1950", "1950 − 9 = 1941", "1941 − 4 = 1937", "3 + 1937 = 1940"], "key": "year-1940-4♥9♥10♥3♣J♥7♣4♦6♠"} {"id": "train-year-0991", "level": "year", "target": 2042, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 3 + 10 + 6 * 13 * (10 + 4 * 4)", "solution_steps": ["4 × 4 = 16", "10 + 16 = 26", "13 × 26 = 338", "6 × 338 = 2028", "10 + 2028 = 2038", "3 + 2038 = 2041", "1 + 2041 = 2042"], "key": "year-2042-4♥3♠6♣4♣A♣10♥10♠K♦"} {"id": "train-year-0992", "level": "year", "target": 1944, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 3 + 5 * 10 * 13 * (8 - 5) - 11", "solution_steps": ["8 − 5 = 3", "13 × 3 = 39", "10 × 39 = 390", "5 × 390 = 1950", "1950 − 11 = 1939", "3 + 1939 = 1942", "2 + 1942 = 1944"], "key": "year-1944-10♦K♥5♥3♥2♦5♣8♠J♥"} {"id": "train-year-0993", "level": "year", "target": 1938, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + (7 + 8 * 10 * 11 * 11 - 7) / 5", "solution_steps": ["11 × 11 = 121", "10 × 121 = 1210", "8 × 1210 = 9680", "9680 − 7 = 9673", "7 + 9673 = 9680", "9680 ÷ 5 = 1936", "2 + 1936 = 1938"], "key": "year-1938-7♦8♥2♣J♣7♥10♥J♥5♥"} {"id": "train-year-0994", "level": "year", "target": 2098, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 3 + 6 + 7 + 10 * 13 * (7 + 9)", "solution_steps": ["7 + 9 = 16", "13 × 16 = 208", "10 × 208 = 2080", "7 + 2080 = 2087", "6 + 2087 = 2093", "3 + 2093 = 2096", "2 + 2096 = 2098"], "key": "year-2098-3♣K♣7♥7♦6♦2♣10♦9♦"} {"id": "train-year-0995", "level": "year", "target": 1982, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 1 + 3 * 5 * (4 + 8 + 10 * 12)", "solution_steps": ["10 × 12 = 120", "8 + 120 = 128", "4 + 128 = 132", "5 × 132 = 660", "3 × 660 = 1980", "1 + 1980 = 1981", "1 + 1981 = 1982"], "key": "year-1982-10♥A♥3♣A♦5♥8♣4♠Q♠"} {"id": "train-year-0996", "level": "year", "target": 1947, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "3 + 10 * (9 + 11 * (6 + 11)) - 11 - 5", "solution_steps": ["6 + 11 = 17", "11 × 17 = 187", "9 + 187 = 196", "10 × 196 = 1960", "1960 − 11 = 1949", "1949 − 5 = 1944", "3 + 1944 = 1947"], "key": "year-1947-3♥5♣J♣J♥6♣10♠J♠9♠"} {"id": "train-year-0997", "level": "year", "target": 1944, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "4 + 9 + 13 * (10 * (6 + 10) - 11) - 6", "solution_steps": ["6 + 10 = 16", "10 × 16 = 160", "160 − 11 = 149", "13 × 149 = 1937", "9 + 1937 = 1946", "1946 − 6 = 1940", "4 + 1940 = 1944"], "key": "year-1944-6♣10♥9♦J♦4♥6♦10♠K♥"} {"id": "train-year-0998", "level": "year", "target": 2013, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + 6 * 12 * (9 + 9 + 10) - 7", "solution_steps": ["9 + 10 = 19", "9 + 19 = 28", "12 × 28 = 336", "6 × 336 = 2016", "2016 − 7 = 2009", "2 + 2009 = 2011", "2 + 2011 = 2013"], "key": "year-2013-7♥6♣2♦10♣9♦Q♥9♣2♥"} {"id": "train-year-0999", "level": "year", "target": 1974, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 4 + 5 * (11 + 4 * 8 * 12) - 6", "solution_steps": ["8 × 12 = 96", "4 × 96 = 384", "11 + 384 = 395", "5 × 395 = 1975", "1975 − 6 = 1969", "4 + 1969 = 1973", "1 + 1973 = 1974"], "key": "year-1974-5♥Q♦4♦4♠6♥8♣A♥J♣"} {"id": "train-four-digit-0000", "level": "four-digit", "target": 9049, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 1 + 12 + 13 * (6 + 13 * (5 + 4 * 12))", "solution_steps": ["4 × 12 = 48", "5 + 48 = 53", "13 × 53 = 689", "6 + 689 = 695", "13 × 695 = 9035", "12 + 9035 = 9047", "1 + 9047 = 9048", "1 + 9048 = 9049"], "key": "four-digit-9049-4♦K♦Q♦A♠Q♥5♥A♥K♣6♦"} {"id": "train-four-digit-0001", "level": "four-digit", "target": 2953, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 4 + 8 + 5 * 6 * 7 * (13 + 9 / 9)", "solution_steps": ["9 ÷ 9 = 1", "13 + 1 = 14", "7 × 14 = 98", "6 × 98 = 588", "5 × 588 = 2940", "8 + 2940 = 2948", "4 + 2948 = 2952", "1 + 2952 = 2953"], "key": "four-digit-2953-9♣5♣7♥K♦8♠4♥6♣A♣9♠"} {"id": "train-four-digit-0002", "level": "four-digit", "target": 2908, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 + 5 + (8 + 13) * (12 + 9 * (7 + 7))", "solution_steps": ["8 + 13 = 21", "7 + 7 = 14", "9 × 14 = 126", "12 + 126 = 138", "21 × 138 = 2898", "5 + 2898 = 2903", "3 + 2903 = 2906", "2 + 2906 = 2908"], "key": "four-digit-2908-8♣2♠9♠K♠7♥7♦5♥Q♠3♦"} {"id": "train-four-digit-0003", "level": "four-digit", "target": 5250, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + 5 + 6 + 7 * (6 * (6 + 10 * 12) - 8)", "solution_steps": ["10 × 12 = 120", "6 + 120 = 126", "6 × 126 = 756", "756 − 8 = 748", "7 × 748 = 5236", "6 + 5236 = 5242", "5 + 5242 = 5247", "3 + 5247 = 5250"], "key": "four-digit-5250-6♠6♥8♠10♥7♠5♣3♦6♣Q♥"} {"id": "train-four-digit-0004", "level": "four-digit", "target": 7788, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 1 + 1 * (9 + 11 * (5 + 6 * 9 * 13))", "solution_steps": ["9 × 13 = 117", "6 × 117 = 702", "5 + 702 = 707", "11 × 707 = 7777", "9 + 7777 = 7786", "1 × 7786 = 7786", "1 + 7786 = 7787", "1 + 7787 = 7788"], "key": "four-digit-7788-J♥K♣6♣5♠A♦A♠A♣9♥9♣"} {"id": "train-four-digit-0005", "level": "four-digit", "target": 7430, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 5 + 8 * (13 * (9 + 9 + 6 * 9) - 8)", "solution_steps": ["6 × 9 = 54", "9 + 54 = 63", "9 + 63 = 72", "13 × 72 = 936", "936 − 8 = 928", "8 × 928 = 7424", "5 + 7424 = 7429", "1 + 7429 = 7430"], "key": "four-digit-7430-K♣5♠A♥8♦9♦8♥9♣6♣9♠"} {"id": "train-four-digit-0006", "level": "four-digit", "target": 2454, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 + 7 * 11 * (8 + 4 * 6) - 11 - 2", "solution_steps": ["4 × 6 = 24", "8 + 24 = 32", "11 × 32 = 352", "7 × 352 = 2464", "2464 − 11 = 2453", "2453 − 2 = 2451", "2 + 2451 = 2453", "1 + 2453 = 2454"], "key": "four-digit-2454-7♠4♠A♣6♣J♦8♣J♣2♠2♥"} {"id": "train-four-digit-0007", "level": "four-digit", "target": 1579, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 2 + 3 + 7 + 9 * (12 * (4 + 11) - 6)", "solution_steps": ["4 + 11 = 15", "12 × 15 = 180", "180 − 6 = 174", "9 × 174 = 1566", "7 + 1566 = 1573", "3 + 1573 = 1576", "2 + 1576 = 1578", "1 + 1578 = 1579"], "key": "four-digit-1579-3♥A♦Q♣7♣2♥9♣4♥J♥6♦"} {"id": "train-four-digit-0008", "level": "four-digit", "target": 4473, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "3 + 5 + 8 * 13 * (10 + 10 + 11 + 12) - 7", "solution_steps": ["11 + 12 = 23", "10 + 23 = 33", "10 + 33 = 43", "13 × 43 = 559", "8 × 559 = 4472", "4472 − 7 = 4465", "5 + 4465 = 4470", "3 + 4470 = 4473"], "key": "four-digit-4473-K♥3♠7♥10♠J♦10♣8♦Q♥5♦"} {"id": "train-four-digit-0009", "level": "four-digit", "target": 2731, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 2 + 5 * (8 + 13) * (3 + 10 + 13) - 2", "solution_steps": ["8 + 13 = 21", "10 + 13 = 23", "3 + 23 = 26", "21 × 26 = 546", "5 × 546 = 2730", "2730 − 2 = 2728", "2 + 2728 = 2730", "1 + 2730 = 2731"], "key": "four-digit-2731-K♠2♣8♦5♥A♦K♦10♥2♦3♦"} {"id": "train-four-digit-0010", "level": "four-digit", "target": 9237, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 1 + 5 * (8 + 13) * (7 * 13 - 3) - 5", "solution_steps": ["8 + 13 = 21", "7 × 13 = 91", "91 − 3 = 88", "21 × 88 = 1848", "5 × 1848 = 9240", "9240 − 5 = 9235", "1 + 9235 = 9236", "1 + 9236 = 9237"], "key": "four-digit-9237-K♣K♥A♣5♠7♣A♠8♠3♣5♥"} {"id": "train-four-digit-0011", "level": "four-digit", "target": 2384, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 5 + 9 + 6 * 6 * 11 * (13 - 7) - 8", "solution_steps": ["13 − 7 = 6", "11 × 6 = 66", "6 × 66 = 396", "6 × 396 = 2376", "9 + 2376 = 2385", "2385 − 8 = 2377", "5 + 2377 = 2382", "2 + 2382 = 2384"], "key": "four-digit-2384-6♠7♦5♦J♥K♣6♦2♣8♠9♥"} {"id": "train-four-digit-0012", "level": "four-digit", "target": 9522, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 5 * 8 * (3 + 4) * (3 * 12 - 2)", "solution_steps": ["3 + 4 = 7", "3 × 12 = 36", "36 − 2 = 34", "7 × 34 = 238", "8 × 238 = 1904", "5 × 1904 = 9520", "1 + 9520 = 9521", "1 + 9521 = 9522"], "key": "four-digit-9522-3♥8♣A♠4♠Q♦3♣2♠5♣A♣"} {"id": "train-four-digit-0013", "level": "four-digit", "target": 9249, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 5 * 10 * (3 * 4 * (4 + 12) - 7) - 2", "solution_steps": ["4 + 12 = 16", "4 × 16 = 64", "3 × 64 = 192", "192 − 7 = 185", "10 × 185 = 1850", "5 × 1850 = 9250", "9250 − 2 = 9248", "1 + 9248 = 9249"], "key": "four-digit-9249-A♠7♦3♦2♠4♥4♠10♥5♣Q♦"} {"id": "train-four-digit-0014", "level": "four-digit", "target": 6328, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 10 + (11 + 5 * 12) * (9 * 11 - 10) - 3", "solution_steps": ["5 × 12 = 60", "11 + 60 = 71", "9 × 11 = 99", "99 − 10 = 89", "71 × 89 = 6319", "10 + 6319 = 6329", "6329 − 3 = 6326", "2 + 6326 = 6328"], "key": "four-digit-6328-3♠J♠5♥10♣2♥10♦Q♥J♣9♥"} {"id": "train-four-digit-0015", "level": "four-digit", "target": 1253, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 2 + 5 * 5 * 10 * (4 * 6 - 9) / 3", "solution_steps": ["4 × 6 = 24", "24 − 9 = 15", "10 × 15 = 150", "5 × 150 = 750", "5 × 750 = 3750", "3750 ÷ 3 = 1250", "2 + 1250 = 1252", "1 + 1252 = 1253"], "key": "four-digit-1253-5♦2♥10♦A♣9♠3♦4♦6♠5♠"} {"id": "train-four-digit-0016", "level": "four-digit", "target": 7340, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 2 + 5 + 13 * (4 + 7 * 10 * (3 + 5))", "solution_steps": ["3 + 5 = 8", "10 × 8 = 80", "7 × 80 = 560", "4 + 560 = 564", "13 × 564 = 7332", "5 + 7332 = 7337", "2 + 7337 = 7339", "1 + 7339 = 7340"], "key": "four-digit-7340-K♠5♥4♠3♥10♦2♣A♦5♣7♣"} {"id": "train-four-digit-0017", "level": "four-digit", "target": 1741, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 3 + 6 + 7 * 10 * (12 + 13) - 11 - 9", "solution_steps": ["12 + 13 = 25", "10 × 25 = 250", "7 × 250 = 1750", "1750 − 11 = 1739", "1739 − 9 = 1730", "6 + 1730 = 1736", "3 + 1736 = 1739", "2 + 1739 = 1741"], "key": "four-digit-1741-3♥9♦10♠7♠6♣K♣J♣2♦Q♠"} {"id": "train-four-digit-0018", "level": "four-digit", "target": 1925, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 3 + 13 * (8 * 11 + 5 * (6 + 6)) - 4", "solution_steps": ["8 × 11 = 88", "6 + 6 = 12", "5 × 12 = 60", "88 + 60 = 148", "13 × 148 = 1924", "1924 − 4 = 1920", "3 + 1920 = 1923", "2 + 1923 = 1925"], "key": "four-digit-1925-J♠6♦3♠6♥2♠4♦K♣5♥8♥"} {"id": "train-four-digit-0019", "level": "four-digit", "target": 6655, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 3 + 7 * (9 + 9 + 8 * 9 * 13 - 4)", "solution_steps": ["9 × 13 = 117", "8 × 117 = 936", "9 + 936 = 945", "9 + 945 = 954", "954 − 4 = 950", "7 × 950 = 6650", "3 + 6650 = 6653", "2 + 6653 = 6655"], "key": "four-digit-6655-K♣9♥2♣9♠7♥8♦4♦3♣9♦"} {"id": "train-four-digit-0020", "level": "four-digit", "target": 5506, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 2 + 3 + 12 + 7 * 7 * (11 * 11 - 9)", "solution_steps": ["11 × 11 = 121", "121 − 9 = 112", "7 × 112 = 784", "7 × 784 = 5488", "12 + 5488 = 5500", "3 + 5500 = 5503", "2 + 5503 = 5505", "1 + 5505 = 5506"], "key": "four-digit-5506-9♠J♥3♣Q♥J♣A♠7♥2♦7♠"} {"id": "train-four-digit-0021", "level": "four-digit", "target": 6112, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 4 + 7 + (9 + 10) * (9 + 12 * (13 + 13))", "solution_steps": ["9 + 10 = 19", "13 + 13 = 26", "12 × 26 = 312", "9 + 312 = 321", "19 × 321 = 6099", "7 + 6099 = 6106", "4 + 6106 = 6110", "2 + 6110 = 6112"], "key": "four-digit-6112-4♥K♠2♥K♥10♠9♥Q♦7♦9♣"} {"id": "train-four-digit-0022", "level": "four-digit", "target": 6566, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 2 + 5 + 6 + 4 * 9 * 13 * (7 + 7)", "solution_steps": ["7 + 7 = 14", "13 × 14 = 182", "9 × 182 = 1638", "4 × 1638 = 6552", "6 + 6552 = 6558", "5 + 6558 = 6563", "2 + 6563 = 6565", "1 + 6565 = 6566"], "key": "four-digit-6566-A♣7♣K♦5♥9♠7♦6♠2♣4♣"} {"id": "train-four-digit-0023", "level": "four-digit", "target": 7436, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 3 + 8 + 13 * (10 * (7 * 10 - 12) - 9)", "solution_steps": ["7 × 10 = 70", "70 − 12 = 58", "10 × 58 = 580", "580 − 9 = 571", "13 × 571 = 7423", "8 + 7423 = 7431", "3 + 7431 = 7434", "2 + 7434 = 7436"], "key": "four-digit-7436-3♥Q♠10♣K♣9♦2♣7♠10♦8♦"} {"id": "train-four-digit-0024", "level": "four-digit", "target": 1119, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 2 * 3 * (6 + 12 * (10 + 11 - 6))", "solution_steps": ["10 + 11 = 21", "21 − 6 = 15", "12 × 15 = 180", "6 + 180 = 186", "3 × 186 = 558", "2 × 558 = 1116", "2 + 1116 = 1118", "1 + 1118 = 1119"], "key": "four-digit-1119-6♠2♣3♥10♣Q♥6♦2♦J♣A♣"} {"id": "train-four-digit-0025", "level": "four-digit", "target": 3217, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "3 + 4 + 5 * 6 * (10 + 10 * 12 - 12 - 11)", "solution_steps": ["10 × 12 = 120", "120 − 12 = 108", "108 − 11 = 97", "10 + 97 = 107", "6 × 107 = 642", "5 × 642 = 3210", "4 + 3210 = 3214", "3 + 3214 = 3217"], "key": "four-digit-3217-6♦5♣Q♣J♣10♥3♦4♠Q♠10♣"} {"id": "train-four-digit-0026", "level": "four-digit", "target": 8348, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 3 + 9 * (4 + 12) * (5 * 13 - 7) - 9", "solution_steps": ["4 + 12 = 16", "5 × 13 = 65", "65 − 7 = 58", "16 × 58 = 928", "9 × 928 = 8352", "8352 − 9 = 8343", "3 + 8343 = 8346", "2 + 8346 = 8348"], "key": "four-digit-8348-2♥Q♦7♣9♥3♣K♣9♠4♠5♦"} {"id": "train-four-digit-0027", "level": "four-digit", "target": 6048, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "4 + 4 + 6 * 12 * (13 - 9) * (10 + 11) - 8", "solution_steps": ["13 − 9 = 4", "10 + 11 = 21", "4 × 21 = 84", "12 × 84 = 1008", "6 × 1008 = 6048", "6048 − 8 = 6040", "4 + 6040 = 6044", "4 + 6044 = 6048"], "key": "four-digit-6048-9♥K♣Q♠4♥J♣4♦6♠10♦8♠"} {"id": "train-four-digit-0028", "level": "four-digit", "target": 4673, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "4 + 5 + 9 * 10 * 13 * (12 - 8) - 10 - 6", "solution_steps": ["12 − 8 = 4", "13 × 4 = 52", "10 × 52 = 520", "9 × 520 = 4680", "4680 − 10 = 4670", "4670 − 6 = 4664", "5 + 4664 = 4669", "4 + 4669 = 4673"], "key": "four-digit-4673-8♠4♣9♥10♥5♥Q♠10♦K♠6♠"} {"id": "train-four-digit-0029", "level": "four-digit", "target": 1434, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "3 + 3 + 8 + 9 * (11 + 12 * 13 - 8) - 11", "solution_steps": ["12 × 13 = 156", "11 + 156 = 167", "167 − 8 = 159", "9 × 159 = 1431", "1431 − 11 = 1420", "8 + 1420 = 1428", "3 + 1428 = 1431", "3 + 1431 = 1434"], "key": "four-digit-1434-8♦Q♥3♠J♠3♦9♣K♦J♥8♣"} {"id": "train-four-digit-0030", "level": "four-digit", "target": 6050, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "3 + 3 + 4 * 4 * 7 * 9 * (12 - 6) - 4", "solution_steps": ["12 − 6 = 6", "9 × 6 = 54", "7 × 54 = 378", "4 × 378 = 1512", "4 × 1512 = 6048", "6048 − 4 = 6044", "3 + 6044 = 6047", "3 + 6047 = 6050"], "key": "four-digit-6050-7♥Q♣3♥4♥9♠3♣4♣6♦4♦"} {"id": "train-four-digit-0031", "level": "four-digit", "target": 7823, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + (6 * 12 - 4) * (3 + 7 * (7 + 9))", "solution_steps": ["6 × 12 = 72", "72 − 4 = 68", "7 + 9 = 16", "7 × 16 = 112", "3 + 112 = 115", "68 × 115 = 7820", "2 + 7820 = 7822", "1 + 7822 = 7823"], "key": "four-digit-7823-Q♣2♦9♣7♠6♥7♥A♦3♠4♠"} {"id": "train-four-digit-0032", "level": "four-digit", "target": 2366, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 4 + 5 + 12 * (8 + 9 * (9 + 12)) - 8", "solution_steps": ["9 + 12 = 21", "9 × 21 = 189", "8 + 189 = 197", "12 × 197 = 2364", "2364 − 8 = 2356", "5 + 2356 = 2361", "4 + 2361 = 2365", "1 + 2365 = 2366"], "key": "four-digit-2366-A♦8♠Q♣5♣4♣9♠9♥Q♠8♥"} {"id": "train-four-digit-0033", "level": "four-digit", "target": 7979, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 5 + 10 * (8 + 5 * (13 * 13 - 11)) - 7", "solution_steps": ["13 × 13 = 169", "169 − 11 = 158", "5 × 158 = 790", "8 + 790 = 798", "10 × 798 = 7980", "7980 − 7 = 7973", "5 + 7973 = 7978", "1 + 7978 = 7979"], "key": "four-digit-7979-8♥5♦K♦7♦J♠10♦5♣K♣A♠"} {"id": "train-four-digit-0034", "level": "four-digit", "target": 1510, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 2 + 7 + 12 + 8 * (11 * (9 + 9) - 12)", "solution_steps": ["9 + 9 = 18", "11 × 18 = 198", "198 − 12 = 186", "8 × 186 = 1488", "12 + 1488 = 1500", "7 + 1500 = 1507", "2 + 1507 = 1509", "1 + 1509 = 1510"], "key": "four-digit-1510-9♣8♥A♥2♦7♥Q♠J♥9♦Q♦"} {"id": "train-four-digit-0035", "level": "four-digit", "target": 4046, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 3 + 13 * (5 + 8) * (12 + 12) - 10 - 4", "solution_steps": ["5 + 8 = 13", "12 + 12 = 24", "13 × 24 = 312", "13 × 312 = 4056", "4056 − 10 = 4046", "4046 − 4 = 4042", "3 + 4042 = 4045", "1 + 4045 = 4046"], "key": "four-digit-4046-K♠3♣Q♠Q♦10♠5♠4♠8♦A♠"} {"id": "train-four-digit-0036", "level": "four-digit", "target": 9236, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "2 + 4 + 5 * 8 * 11 * (7 + 7 + 7) - 10", "solution_steps": ["7 + 7 = 14", "7 + 14 = 21", "11 × 21 = 231", "8 × 231 = 1848", "5 × 1848 = 9240", "9240 − 10 = 9230", "4 + 9230 = 9234", "2 + 9234 = 9236"], "key": "four-digit-9236-8♥2♣7♣7♠4♣10♠5♦7♥J♦"} {"id": "train-four-digit-0037", "level": "four-digit", "target": 9192, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 3 + 10 * (8 * (6 + 10 * 11) - 9) - 3", "solution_steps": ["10 × 11 = 110", "6 + 110 = 116", "8 × 116 = 928", "928 − 9 = 919", "10 × 919 = 9190", "9190 − 3 = 9187", "3 + 9187 = 9190", "2 + 9190 = 9192"], "key": "four-digit-9192-9♣3♥2♦J♠10♥3♠6♥10♦8♠"} {"id": "train-four-digit-0038", "level": "four-digit", "target": 8043, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "2 + 4 + 7 + 10 * 11 * (3 + 7 + 7 * 9)", "solution_steps": ["7 × 9 = 63", "7 + 63 = 70", "3 + 70 = 73", "11 × 73 = 803", "10 × 803 = 8030", "7 + 8030 = 8037", "4 + 8037 = 8041", "2 + 8041 = 8043"], "key": "four-digit-8043-3♠9♣7♥2♥4♣10♥7♦7♣J♦"} {"id": "train-four-digit-0039", "level": "four-digit", "target": 4605, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 5 + 8 + 10 * (9 + 11) * (11 + 12) - 9", "solution_steps": ["9 + 11 = 20", "11 + 12 = 23", "20 × 23 = 460", "10 × 460 = 4600", "4600 − 9 = 4591", "8 + 4591 = 4599", "5 + 4599 = 4604", "1 + 4604 = 4605"], "key": "four-digit-4605-A♦9♦J♦Q♣10♦5♣8♥9♥J♥"} {"id": "train-four-digit-0040", "level": "four-digit", "target": 7643, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 2 + (12 - 4) * (9 + 11 * (2 + 7 * 12))", "solution_steps": ["12 − 4 = 8", "7 × 12 = 84", "2 + 84 = 86", "11 × 86 = 946", "9 + 946 = 955", "8 × 955 = 7640", "2 + 7640 = 7642", "1 + 7642 = 7643"], "key": "four-digit-7643-J♠2♣7♣9♦2♥A♣Q♦4♦Q♥"} {"id": "train-four-digit-0041", "level": "four-digit", "target": 9538, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 5 + 3 * 9 * (11 + 3 * (6 + 9 * 12))", "solution_steps": ["9 × 12 = 108", "6 + 108 = 114", "3 × 114 = 342", "11 + 342 = 353", "9 × 353 = 3177", "3 × 3177 = 9531", "5 + 9531 = 9536", "2 + 9536 = 9538"], "key": "four-digit-9538-Q♠2♠5♠J♦3♠3♥9♠6♥9♣"} {"id": "train-four-digit-0042", "level": "four-digit", "target": 9357, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 5 * 12 * 12 * (13 + 8 * (13 - 13)) - 5", "solution_steps": ["13 − 13 = 0", "8 × 0 = 0", "13 + 0 = 13", "12 × 13 = 156", "12 × 156 = 1872", "5 × 1872 = 9360", "9360 − 5 = 9355", "2 + 9355 = 9357"], "key": "four-digit-9357-8♠K♠Q♥Q♦K♣5♦2♥5♣K♦"} {"id": "train-four-digit-0043", "level": "four-digit", "target": 8236, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 1 + 7 * (3 * 4 * 9 * 11 - 10) - 12", "solution_steps": ["9 × 11 = 99", "4 × 99 = 396", "3 × 396 = 1188", "1188 − 10 = 1178", "7 × 1178 = 8246", "8246 − 12 = 8234", "1 + 8234 = 8235", "1 + 8235 = 8236"], "key": "four-digit-8236-Q♣9♥4♠A♦A♣7♦J♦10♣3♠"} {"id": "train-four-digit-0044", "level": "four-digit", "target": 3135, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 3 + (3 + 7) * (8 * (4 * 11 - 4) - 7)", "solution_steps": ["3 + 7 = 10", "4 × 11 = 44", "44 − 4 = 40", "8 × 40 = 320", "320 − 7 = 313", "10 × 313 = 3130", "3 + 3130 = 3133", "2 + 3133 = 3135"], "key": "four-digit-3135-7♥4♦2♦3♠J♥7♠4♣3♦8♠"} {"id": "train-four-digit-0045", "level": "four-digit", "target": 4907, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "4 + 5 + 10 * (7 * 8 * 9 - 13) - 6 - 6", "solution_steps": ["8 × 9 = 72", "7 × 72 = 504", "504 − 13 = 491", "10 × 491 = 4910", "4910 − 6 = 4904", "4904 − 6 = 4898", "5 + 4898 = 4903", "4 + 4903 = 4907"], "key": "four-digit-4907-8♦7♥K♥6♦5♥6♣4♦10♥9♣"} {"id": "train-four-digit-0046", "level": "four-digit", "target": 8147, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "3 + 4 + 11 * (8 + 12 + 8 * (9 + 9 * 9))", "solution_steps": ["9 × 9 = 81", "9 + 81 = 90", "8 × 90 = 720", "12 + 720 = 732", "8 + 732 = 740", "11 × 740 = 8140", "4 + 8140 = 8144", "3 + 8144 = 8147"], "key": "four-digit-8147-4♦8♦9♠3♠9♣9♦J♠Q♣8♣"} {"id": "train-four-digit-0047", "level": "four-digit", "target": 4006, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 + 6 + 7 + 8 * (9 + 11) * (12 + 13) - 10", "solution_steps": ["9 + 11 = 20", "12 + 13 = 25", "20 × 25 = 500", "8 × 500 = 4000", "4000 − 10 = 3990", "7 + 3990 = 3997", "6 + 3997 = 4003", "3 + 4003 = 4006"], "key": "four-digit-4006-8♦10♥9♣6♣Q♥7♦K♦3♣J♣"} {"id": "train-four-digit-0048", "level": "four-digit", "target": 9500, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 4 + 6 * 11 * 12 * (7 + 11 - 6) - 9", "solution_steps": ["7 + 11 = 18", "18 − 6 = 12", "12 × 12 = 144", "11 × 144 = 1584", "6 × 1584 = 9504", "9504 − 9 = 9495", "4 + 9495 = 9499", "1 + 9499 = 9500"], "key": "four-digit-9500-J♥7♥A♠J♠Q♥4♠6♠6♣9♥"} {"id": "train-four-digit-0049", "level": "four-digit", "target": 4337, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "2 + 4 + (6 + 5 * 13) * (5 * 12 + 13 / 13)", "solution_steps": ["5 × 13 = 65", "6 + 65 = 71", "5 × 12 = 60", "13 ÷ 13 = 1", "60 + 1 = 61", "71 × 61 = 4331", "4 + 4331 = 4335", "2 + 4335 = 4337"], "key": "four-digit-4337-5♥K♥6♥5♣K♠4♦K♣2♥Q♣"} {"id": "train-four-digit-0050", "level": "four-digit", "target": 3398, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 4 + 11 * (5 * 6 * 13 - 9 * 9) - 7", "solution_steps": ["6 × 13 = 78", "5 × 78 = 390", "9 × 9 = 81", "390 − 81 = 309", "11 × 309 = 3399", "3399 − 7 = 3392", "4 + 3392 = 3396", "2 + 3396 = 3398"], "key": "four-digit-3398-9♣6♦K♠5♠J♠7♣9♦4♠2♠"} {"id": "train-four-digit-0051", "level": "four-digit", "target": 7629, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 5 * (6 + 4 * 10 * (8 + 3 * 10)) - 2", "solution_steps": ["3 × 10 = 30", "8 + 30 = 38", "10 × 38 = 380", "4 × 380 = 1520", "6 + 1520 = 1526", "5 × 1526 = 7630", "7630 − 2 = 7628", "1 + 7628 = 7629"], "key": "four-digit-7629-5♠A♥10♥10♦6♦4♦2♠3♠8♠"} {"id": "train-four-digit-0052", "level": "four-digit", "target": 4001, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 12 + (10 + 11) * (8 * (12 + 12) - 2) - 2", "solution_steps": ["10 + 11 = 21", "12 + 12 = 24", "8 × 24 = 192", "192 − 2 = 190", "21 × 190 = 3990", "12 + 3990 = 4002", "4002 − 2 = 4000", "1 + 4000 = 4001"], "key": "four-digit-4001-A♠2♣J♦Q♥Q♦8♣10♠Q♣2♦"} {"id": "train-four-digit-0053", "level": "four-digit", "target": 5275, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 2 + 7 + (3 + 7 * 13) * (5 * 12 - 4)", "solution_steps": ["7 × 13 = 91", "3 + 91 = 94", "5 × 12 = 60", "60 − 4 = 56", "94 × 56 = 5264", "7 + 5264 = 5271", "2 + 5271 = 5273", "2 + 5273 = 5275"], "key": "four-digit-5275-2♠2♦Q♣7♠5♦3♥7♣K♥4♦"} {"id": "train-four-digit-0054", "level": "four-digit", "target": 6053, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 + 6 / 3 + 6 * 8 * 9 * (3 + 11)", "solution_steps": ["6 ÷ 3 = 2", "3 + 11 = 14", "9 × 14 = 126", "8 × 126 = 1008", "6 × 1008 = 6048", "2 + 6048 = 6050", "2 + 6050 = 6052", "1 + 6052 = 6053"], "key": "four-digit-6053-8♥9♣A♥2♦3♠6♥6♦3♣J♦"} {"id": "train-four-digit-0055", "level": "four-digit", "target": 9578, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 1 + 4 * (12 * (9 * (10 + 13) - 7) - 6)", "solution_steps": ["10 + 13 = 23", "9 × 23 = 207", "207 − 7 = 200", "12 × 200 = 2400", "2400 − 6 = 2394", "4 × 2394 = 9576", "1 + 9576 = 9577", "1 + 9577 = 9578"], "key": "four-digit-9578-K♥4♥Q♦10♦A♦9♣6♦A♠7♣"} {"id": "train-four-digit-0056", "level": "four-digit", "target": 4106, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 2 + 11 * (12 * (7 + 7 * 8) - 10) / 2", "solution_steps": ["7 × 8 = 56", "7 + 56 = 63", "12 × 63 = 756", "756 − 10 = 746", "11 × 746 = 8206", "8206 ÷ 2 = 4103", "2 + 4103 = 4105", "1 + 4105 = 4106"], "key": "four-digit-4106-7♦Q♦A♦10♣2♥7♥2♣J♠8♠"} {"id": "train-four-digit-0057", "level": "four-digit", "target": 6153, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 3 + 13 * (9 + 5 * (3 + 9 * 10)) - 13", "solution_steps": ["9 × 10 = 90", "3 + 90 = 93", "5 × 93 = 465", "9 + 465 = 474", "13 × 474 = 6162", "6162 − 13 = 6149", "3 + 6149 = 6152", "1 + 6152 = 6153"], "key": "four-digit-6153-9♠9♦10♣K♦3♣3♦A♥K♣5♠"} {"id": "train-four-digit-0058", "level": "four-digit", "target": 3384, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 1 + 2 + (10 + 12) * (11 + 11 * 13) - 8", "solution_steps": ["10 + 12 = 22", "11 × 13 = 143", "11 + 143 = 154", "22 × 154 = 3388", "3388 − 8 = 3380", "2 + 3380 = 3382", "1 + 3382 = 3383", "1 + 3383 = 3384"], "key": "four-digit-3384-Q♠A♠10♣J♦2♥K♠A♣J♠8♦"} {"id": "train-four-digit-0059", "level": "four-digit", "target": 6680, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 2 + 4 + 7 * 9 * (10 + 8 * 12) - 5", "solution_steps": ["8 × 12 = 96", "10 + 96 = 106", "9 × 106 = 954", "7 × 954 = 6678", "6678 − 5 = 6673", "4 + 6673 = 6677", "2 + 6677 = 6679", "1 + 6679 = 6680"], "key": "four-digit-6680-A♦9♦7♠2♣10♠8♥5♥Q♠4♣"} {"id": "train-four-digit-0060", "level": "four-digit", "target": 8789, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 4 + 13 * 13 * (12 * (12 - 7) - 8) - 5", "solution_steps": ["12 − 7 = 5", "12 × 5 = 60", "60 − 8 = 52", "13 × 52 = 676", "13 × 676 = 8788", "8788 − 5 = 8783", "4 + 8783 = 8787", "2 + 8787 = 8789"], "key": "four-digit-8789-2♠5♣K♥7♣K♠8♠Q♥Q♦4♣"} {"id": "train-four-digit-0061", "level": "four-digit", "target": 5480, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "2 + 3 + 5 * (7 + 8 * (7 * (8 + 12) - 4))", "solution_steps": ["8 + 12 = 20", "7 × 20 = 140", "140 − 4 = 136", "8 × 136 = 1088", "7 + 1088 = 1095", "5 × 1095 = 5475", "3 + 5475 = 5478", "2 + 5478 = 5480"], "key": "four-digit-5480-Q♣8♠8♣5♣3♥2♠7♥7♣4♥"} {"id": "train-four-digit-0062", "level": "four-digit", "target": 1853, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 4 + 4 + 8 + 6 * (7 + 11) * (8 + 9)", "solution_steps": ["7 + 11 = 18", "8 + 9 = 17", "18 × 17 = 306", "6 × 306 = 1836", "8 + 1836 = 1844", "4 + 1844 = 1848", "4 + 1848 = 1852", "1 + 1852 = 1853"], "key": "four-digit-1853-7♦J♥9♠4♠4♣6♠A♦8♥8♠"} {"id": "train-four-digit-0063", "level": "four-digit", "target": 3081, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 3 + 3 + 11 * (6 + 8) * (8 + 12) - 7", "solution_steps": ["6 + 8 = 14", "8 + 12 = 20", "14 × 20 = 280", "11 × 280 = 3080", "3080 − 7 = 3073", "3 + 3073 = 3076", "3 + 3076 = 3079", "2 + 3079 = 3081"], "key": "four-digit-3081-6♠8♠7♦8♣J♣3♦2♠Q♠3♥"} {"id": "train-four-digit-0064", "level": "four-digit", "target": 3275, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 3 + 4 + 12 * (5 + 8) * (9 + 12) - 10", "solution_steps": ["5 + 8 = 13", "9 + 12 = 21", "13 × 21 = 273", "12 × 273 = 3276", "3276 − 10 = 3266", "4 + 3266 = 3270", "3 + 3270 = 3273", "2 + 3273 = 3275"], "key": "four-digit-3275-2♦Q♦4♣5♠3♥Q♥8♥10♦9♦"} {"id": "train-four-digit-0065", "level": "four-digit", "target": 2768, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "2 + 2 + 4 + 4 * (7 * (12 + 8 * 11) - 10)", "solution_steps": ["8 × 11 = 88", "12 + 88 = 100", "7 × 100 = 700", "700 − 10 = 690", "4 × 690 = 2760", "4 + 2760 = 2764", "2 + 2764 = 2766", "2 + 2766 = 2768"], "key": "four-digit-2768-10♦J♥Q♥2♠8♣4♦2♥4♠7♥"} {"id": "train-four-digit-0066", "level": "four-digit", "target": 9153, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 6 + (9 * 9 - 6) * (11 * 12 - 10) - 5", "solution_steps": ["9 × 9 = 81", "81 − 6 = 75", "11 × 12 = 132", "132 − 10 = 122", "75 × 122 = 9150", "6 + 9150 = 9156", "9156 − 5 = 9151", "2 + 9151 = 9153"], "key": "four-digit-9153-9♥J♦Q♥6♠5♣10♣6♦9♠2♦"} {"id": "train-four-digit-0067", "level": "four-digit", "target": 5927, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + 2 * (10 + 8 * (9 + 5 * 6 * 12))", "solution_steps": ["6 × 12 = 72", "5 × 72 = 360", "9 + 360 = 369", "8 × 369 = 2952", "10 + 2952 = 2962", "2 × 2962 = 5924", "2 + 5924 = 5926", "1 + 5926 = 5927"], "key": "four-digit-5927-2♦6♣8♣2♣5♥9♠A♠10♦Q♠"} {"id": "train-four-digit-0068", "level": "four-digit", "target": 3918, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + 10 + 10 * 11 * (12 * 12 - 2) / 4", "solution_steps": ["12 × 12 = 144", "144 − 2 = 142", "11 × 142 = 1562", "10 × 1562 = 15620", "15620 ÷ 4 = 3905", "10 + 3905 = 3915", "2 + 3915 = 3917", "1 + 3917 = 3918"], "key": "four-digit-3918-2♥4♥10♣Q♥J♥A♥2♠10♠Q♠"} {"id": "train-four-digit-0069", "level": "four-digit", "target": 6432, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 6 + 8 * 12 * (12 + 11 * (13 - 8)) - 7", "solution_steps": ["13 − 8 = 5", "11 × 5 = 55", "12 + 55 = 67", "12 × 67 = 804", "8 × 804 = 6432", "6432 − 7 = 6425", "6 + 6425 = 6431", "1 + 6431 = 6432"], "key": "four-digit-6432-K♣7♥Q♦6♣Q♥J♣8♦A♥8♥"} {"id": "train-four-digit-0070", "level": "four-digit", "target": 8886, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 2 + 6 + 11 * (7 + 5 * 10 * (6 + 10))", "solution_steps": ["6 + 10 = 16", "10 × 16 = 160", "5 × 160 = 800", "7 + 800 = 807", "11 × 807 = 8877", "6 + 8877 = 8883", "2 + 8883 = 8885", "1 + 8885 = 8886"], "key": "four-digit-8886-5♣J♦10♠6♦10♦2♠6♥7♠A♠"} {"id": "train-four-digit-0071", "level": "four-digit", "target": 8173, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + 4 * 6 * (5 + 6 * 7 * 8) - 11 - 2", "solution_steps": ["7 × 8 = 56", "6 × 56 = 336", "5 + 336 = 341", "6 × 341 = 2046", "4 × 2046 = 8184", "8184 − 11 = 8173", "8173 − 2 = 8171", "2 + 8171 = 8173"], "key": "four-digit-8173-4♥6♠5♣2♠2♣8♣J♠7♣6♦"} {"id": "train-four-digit-0072", "level": "four-digit", "target": 2908, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 2 + 6 + 13 * (7 * 9 + 8 * (9 + 11))", "solution_steps": ["7 × 9 = 63", "9 + 11 = 20", "8 × 20 = 160", "63 + 160 = 223", "13 × 223 = 2899", "6 + 2899 = 2905", "2 + 2905 = 2907", "1 + 2907 = 2908"], "key": "four-digit-2908-9♠2♥6♦9♦K♥7♦A♥J♥8♦"} {"id": "train-four-digit-0073", "level": "four-digit", "target": 8929, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "4 + 4 + 11 * (5 + 13 * (7 + 7 + 6 * 8))", "solution_steps": ["6 × 8 = 48", "7 + 48 = 55", "7 + 55 = 62", "13 × 62 = 806", "5 + 806 = 811", "11 × 811 = 8921", "4 + 8921 = 8925", "4 + 8925 = 8929"], "key": "four-digit-8929-8♥7♦6♠J♣4♦4♠5♠7♠K♥"} {"id": "train-four-digit-0074", "level": "four-digit", "target": 6534, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 2 + 11 * (13 + 7 * (3 + 8 * 10)) - 4", "solution_steps": ["8 × 10 = 80", "3 + 80 = 83", "7 × 83 = 581", "13 + 581 = 594", "11 × 594 = 6534", "6534 − 4 = 6530", "2 + 6530 = 6532", "2 + 6532 = 6534"], "key": "four-digit-6534-2♣8♠2♦10♦3♦K♦J♠4♠7♦"} {"id": "train-four-digit-0075", "level": "four-digit", "target": 8214, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 3 + 5 * (7 + 11 * 12 * 13 - 9 * 9)", "solution_steps": ["12 × 13 = 156", "11 × 156 = 1716", "9 × 9 = 81", "1716 − 81 = 1635", "7 + 1635 = 1642", "5 × 1642 = 8210", "3 + 8210 = 8213", "1 + 8213 = 8214"], "key": "four-digit-8214-5♥Q♥A♦7♣J♠3♥9♠K♦9♥"} {"id": "train-four-digit-0076", "level": "four-digit", "target": 9417, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "3 + 9 * (4 + 5 * (5 * 13 * 13 - 9)) / 4", "solution_steps": ["13 × 13 = 169", "5 × 169 = 845", "845 − 9 = 836", "5 × 836 = 4180", "4 + 4180 = 4184", "9 × 4184 = 37656", "37656 ÷ 4 = 9414", "3 + 9414 = 9417"], "key": "four-digit-9417-5♦4♥9♥K♠4♠5♠3♠9♦K♣"} {"id": "train-four-digit-0077", "level": "four-digit", "target": 3288, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 3 + 3 + (8 + 9) * (13 + 9 * (9 + 11))", "solution_steps": ["8 + 9 = 17", "9 + 11 = 20", "9 × 20 = 180", "13 + 180 = 193", "17 × 193 = 3281", "3 + 3281 = 3284", "3 + 3284 = 3287", "1 + 3287 = 3288"], "key": "four-digit-3288-9♠9♣K♠J♠8♥3♥3♠A♣9♥"} {"id": "train-four-digit-0078", "level": "four-digit", "target": 3696, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 2 + 5 + 7 * 8 * (6 + 6 * 10) - 8", "solution_steps": ["6 × 10 = 60", "6 + 60 = 66", "8 × 66 = 528", "7 × 528 = 3696", "3696 − 8 = 3688", "5 + 3688 = 3693", "2 + 3693 = 3695", "1 + 3695 = 3696"], "key": "four-digit-3696-6♥A♦8♥6♣10♦2♣5♠7♥8♦"} {"id": "train-four-digit-0079", "level": "four-digit", "target": 2149, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "6 + 7 + 7 + (11 + 12) * (8 * 13 - 11) - 10", "solution_steps": ["11 + 12 = 23", "8 × 13 = 104", "104 − 11 = 93", "23 × 93 = 2139", "2139 − 10 = 2129", "7 + 2129 = 2136", "7 + 2136 = 2143", "6 + 2143 = 2149"], "key": "four-digit-2149-6♣10♣8♣7♣J♥Q♥7♠K♦J♣"} {"id": "train-four-digit-0080", "level": "four-digit", "target": 8600, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 2 + 5 + 12 * (9 / 9 + 5 * 11 * 13)", "solution_steps": ["9 ÷ 9 = 1", "11 × 13 = 143", "5 × 143 = 715", "1 + 715 = 716", "12 × 716 = 8592", "5 + 8592 = 8597", "2 + 8597 = 8599", "1 + 8599 = 8600"], "key": "four-digit-8600-2♦Q♣5♦A♦K♦9♣J♥9♥5♣"} {"id": "train-four-digit-0081", "level": "four-digit", "target": 2576, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 5 + 6 + (12 + 13) * (7 + 8 * 12) - 11", "solution_steps": ["12 + 13 = 25", "8 × 12 = 96", "7 + 96 = 103", "25 × 103 = 2575", "2575 − 11 = 2564", "6 + 2564 = 2570", "5 + 2570 = 2575", "1 + 2575 = 2576"], "key": "four-digit-2576-Q♥6♣J♠Q♦7♣K♠A♠5♥8♦"} {"id": "train-four-digit-0082", "level": "four-digit", "target": 1808, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 5 + 6 * (9 + 11) * (10 + 12 - 7)", "solution_steps": ["9 + 11 = 20", "10 + 12 = 22", "22 − 7 = 15", "20 × 15 = 300", "6 × 300 = 1800", "5 + 1800 = 1805", "2 + 1805 = 1807", "1 + 1807 = 1808"], "key": "four-digit-1808-6♣J♠Q♦9♣5♣2♦10♣7♥A♣"} {"id": "train-four-digit-0083", "level": "four-digit", "target": 8999, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 3 + 7 * (3 + 8 + 13 * (10 + 8 * 11))", "solution_steps": ["8 × 11 = 88", "10 + 88 = 98", "13 × 98 = 1274", "8 + 1274 = 1282", "3 + 1282 = 1285", "7 × 1285 = 8995", "3 + 8995 = 8998", "1 + 8998 = 8999"], "key": "four-digit-8999-8♥3♣8♦J♥A♠10♥3♥7♠K♥"} {"id": "train-four-digit-0084", "level": "four-digit", "target": 1437, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 2 + 10 + 10 * 12 * 12 - 8 - 5 - 3", "solution_steps": ["12 × 12 = 144", "10 × 144 = 1440", "10 + 1440 = 1450", "1450 − 8 = 1442", "1442 − 5 = 1437", "1437 − 3 = 1434", "2 + 1434 = 1436", "1 + 1436 = 1437"], "key": "four-digit-1437-A♥8♦5♥2♣3♠Q♠Q♣10♦10♠"} {"id": "train-four-digit-0085", "level": "four-digit", "target": 6934, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 3 + 6 * 7 * (13 + 7 * (10 + 13) - 9)", "solution_steps": ["10 + 13 = 23", "7 × 23 = 161", "13 + 161 = 174", "174 − 9 = 165", "7 × 165 = 1155", "6 × 1155 = 6930", "3 + 6930 = 6933", "1 + 6933 = 6934"], "key": "four-digit-6934-6♠K♥3♦9♣7♥K♦10♠7♦A♦"} {"id": "train-four-digit-0086", "level": "four-digit", "target": 7023, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 + 6 + 10 + 7 * 11 * (7 + 7 * 12) - 4", "solution_steps": ["7 × 12 = 84", "7 + 84 = 91", "11 × 91 = 1001", "7 × 1001 = 7007", "10 + 7007 = 7017", "6 + 7017 = 7023", "7023 − 4 = 7019", "4 + 7019 = 7023"], "key": "four-digit-7023-7♦10♣4♥Q♣7♣6♣7♠J♣4♦"} {"id": "train-four-digit-0087", "level": "four-digit", "target": 1192, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 2 + 4 + 5 * (7 + 11 * (9 + 13) - 12)", "solution_steps": ["9 + 13 = 22", "11 × 22 = 242", "242 − 12 = 230", "7 + 230 = 237", "5 × 237 = 1185", "4 + 1185 = 1189", "2 + 1189 = 1191", "1 + 1191 = 1192"], "key": "four-digit-1192-9♦2♦A♦K♠J♣7♥4♣Q♦5♣"} {"id": "train-four-digit-0088", "level": "four-digit", "target": 6019, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 7 * (5 + 8 * 9 * (4 + 8) - 8) - 9", "solution_steps": ["4 + 8 = 12", "9 × 12 = 108", "8 × 108 = 864", "864 − 8 = 856", "5 + 856 = 861", "7 × 861 = 6027", "6027 − 9 = 6018", "1 + 6018 = 6019"], "key": "four-digit-6019-9♦9♥7♦A♦8♦4♥8♠8♥5♠"} {"id": "train-four-digit-0089", "level": "four-digit", "target": 5805, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 5 + 12 * (7 * (10 + 6 * 10) - 6) - 9", "solution_steps": ["6 × 10 = 60", "10 + 60 = 70", "7 × 70 = 490", "490 − 6 = 484", "12 × 484 = 5808", "5808 − 9 = 5799", "5 + 5799 = 5804", "1 + 5804 = 5805"], "key": "four-digit-5805-7♦5♥6♦10♣9♦6♠A♠Q♦10♠"} {"id": "train-four-digit-0090", "level": "four-digit", "target": 4411, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 3 + 3 + 12 * (7 + 6 * 10 * (10 - 4))", "solution_steps": ["10 − 4 = 6", "10 × 6 = 60", "6 × 60 = 360", "7 + 360 = 367", "12 × 367 = 4404", "3 + 4404 = 4407", "3 + 4407 = 4410", "1 + 4410 = 4411"], "key": "four-digit-4411-Q♣10♣4♥3♥10♠A♥3♣7♦6♣"} {"id": "train-four-digit-0091", "level": "four-digit", "target": 3045, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 2 + 4 * (9 * (8 * 11 - 3) - 4) - 3", "solution_steps": ["8 × 11 = 88", "88 − 3 = 85", "9 × 85 = 765", "765 − 4 = 761", "4 × 761 = 3044", "3044 − 3 = 3041", "2 + 3041 = 3043", "2 + 3043 = 3045"], "key": "four-digit-3045-8♥9♦J♥2♥4♥3♣2♣4♣3♠"} {"id": "train-four-digit-0092", "level": "four-digit", "target": 4907, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 3 + 8 * (6 * (9 * 13 - 13) - 10) - 9", "solution_steps": ["9 × 13 = 117", "117 − 13 = 104", "6 × 104 = 624", "624 − 10 = 614", "8 × 614 = 4912", "4912 − 9 = 4903", "3 + 4903 = 4906", "1 + 4906 = 4907"], "key": "four-digit-4907-8♣K♦10♠9♠6♦3♠9♣K♠A♥"} {"id": "train-four-digit-0093", "level": "four-digit", "target": 3007, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + 9 * (6 * (6 * 10 - 4) - 2) - 1", "solution_steps": ["6 × 10 = 60", "60 − 4 = 56", "6 × 56 = 336", "336 − 2 = 334", "9 × 334 = 3006", "3006 − 1 = 3005", "1 + 3005 = 3006", "1 + 3006 = 3007"], "key": "four-digit-3007-A♣9♦4♦2♦6♦6♣A♥10♠A♦"} {"id": "train-four-digit-0094", "level": "four-digit", "target": 4204, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 4 + 7 + 12 + 5 * 11 * (6 + 7 * 10)", "solution_steps": ["7 × 10 = 70", "6 + 70 = 76", "11 × 76 = 836", "5 × 836 = 4180", "12 + 4180 = 4192", "7 + 4192 = 4199", "4 + 4199 = 4203", "1 + 4203 = 4204"], "key": "four-digit-4204-10♣Q♥7♣4♠7♠A♥J♦5♦6♦"} {"id": "train-four-digit-0095", "level": "four-digit", "target": 5524, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 2 + 7 + 12 * (9 + 11) * (10 + 13) - 7", "solution_steps": ["9 + 11 = 20", "10 + 13 = 23", "20 × 23 = 460", "12 × 460 = 5520", "5520 − 7 = 5513", "7 + 5513 = 5520", "2 + 5520 = 5522", "2 + 5522 = 5524"], "key": "four-digit-5524-2♠9♣7♣2♥7♥J♠10♠K♠Q♠"} {"id": "train-four-digit-0096", "level": "four-digit", "target": 1420, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "5 + 8 + 9 + 11 * 11 + 9 * 11 * 13 - 10", "solution_steps": ["11 × 11 = 121", "11 × 13 = 143", "9 × 143 = 1287", "121 + 1287 = 1408", "1408 − 10 = 1398", "9 + 1398 = 1407", "8 + 1407 = 1415", "5 + 1415 = 1420"], "key": "four-digit-1420-9♣5♦J♣9♦J♦8♠K♣J♥10♥"} {"id": "train-four-digit-0097", "level": "four-digit", "target": 8952, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 10 * (3 * 12 * (6 + 6 + 13) - 5)", "solution_steps": ["6 + 13 = 19", "6 + 19 = 25", "12 × 25 = 300", "3 × 300 = 900", "900 − 5 = 895", "10 × 895 = 8950", "1 + 8950 = 8951", "1 + 8951 = 8952"], "key": "four-digit-8952-K♦5♦3♥A♦Q♥10♥6♥6♦A♣"} {"id": "train-four-digit-0098", "level": "four-digit", "target": 3543, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "3 + 4 + 12 * ((7 + 9) * (9 + 10) - 9) - 4", "solution_steps": ["7 + 9 = 16", "9 + 10 = 19", "16 × 19 = 304", "304 − 9 = 295", "12 × 295 = 3540", "3540 − 4 = 3536", "4 + 3536 = 3540", "3 + 3540 = 3543"], "key": "four-digit-3543-Q♦4♣9♣9♦3♦4♠9♥10♠7♣"} {"id": "train-four-digit-0099", "level": "four-digit", "target": 5990, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 3 + 9 + 6 * (12 + 8 * (13 + 10 * 11))", "solution_steps": ["10 × 11 = 110", "13 + 110 = 123", "8 × 123 = 984", "12 + 984 = 996", "6 × 996 = 5976", "9 + 5976 = 5985", "3 + 5985 = 5988", "2 + 5988 = 5990"], "key": "four-digit-5990-10♦J♠3♦9♦8♠2♥6♥K♠Q♠"} {"id": "train-four-digit-0100", "level": "four-digit", "target": 8013, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "4 * (2 + 4) * (4 * 7 * 12 - 2) - 2 - 1", "solution_steps": ["2 + 4 = 6", "7 × 12 = 84", "4 × 84 = 336", "336 − 2 = 334", "6 × 334 = 2004", "4 × 2004 = 8016", "8016 − 2 = 8014", "8014 − 1 = 8013"], "key": "four-digit-8013-4♦2♥Q♥2♣4♥2♠7♣4♠A♣"} {"id": "train-four-digit-0101", "level": "four-digit", "target": 8577, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 3 + 5 + 4 * 9 * (13 * (6 + 13) - 9)", "solution_steps": ["6 + 13 = 19", "13 × 19 = 247", "247 − 9 = 238", "9 × 238 = 2142", "4 × 2142 = 8568", "5 + 8568 = 8573", "3 + 8573 = 8576", "1 + 8576 = 8577"], "key": "four-digit-8577-5♦6♥3♠9♦A♠4♣K♦9♣K♥"} {"id": "train-four-digit-0102", "level": "four-digit", "target": 6030, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + (13 * 13 - 6) * (6 * 6 + 12 / 12) - 2", "solution_steps": ["13 × 13 = 169", "169 − 6 = 163", "6 × 6 = 36", "12 ÷ 12 = 1", "36 + 1 = 37", "163 × 37 = 6031", "6031 − 2 = 6029", "1 + 6029 = 6030"], "key": "four-digit-6030-K♦6♥6♠A♦Q♣Q♥K♠2♥6♣"} {"id": "train-four-digit-0103", "level": "four-digit", "target": 1602, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 3 + 6 * (6 + 13) * (4 * 4 - 2)", "solution_steps": ["6 + 13 = 19", "4 × 4 = 16", "16 − 2 = 14", "19 × 14 = 266", "6 × 266 = 1596", "3 + 1596 = 1599", "2 + 1599 = 1601", "1 + 1601 = 1602"], "key": "four-digit-1602-6♦2♦A♥4♠4♣3♠6♠K♠2♠"} {"id": "train-four-digit-0104", "level": "four-digit", "target": 6907, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 3 + 10 + 11 * 11 * (12 + 5 * 9) - 6", "solution_steps": ["5 × 9 = 45", "12 + 45 = 57", "11 × 57 = 627", "11 × 627 = 6897", "10 + 6897 = 6907", "6907 − 6 = 6901", "3 + 6901 = 6904", "3 + 6904 = 6907"], "key": "four-digit-6907-Q♠J♠9♠5♥10♣3♣3♦J♣6♥"} {"id": "train-four-digit-0105", "level": "four-digit", "target": 2703, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 2 + 11 * (12 + 13 * (9 + 9)) - 4 - 2", "solution_steps": ["9 + 9 = 18", "13 × 18 = 234", "12 + 234 = 246", "11 × 246 = 2706", "2706 − 4 = 2702", "2702 − 2 = 2700", "2 + 2700 = 2702", "1 + 2702 = 2703"], "key": "four-digit-2703-2♣J♣2♠K♠A♠Q♦9♦4♣9♥"} {"id": "train-four-digit-0106", "level": "four-digit", "target": 3493, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 3 + 7 * (9 + 11) * (12 + 13) - 8 - 4", "solution_steps": ["9 + 11 = 20", "12 + 13 = 25", "20 × 25 = 500", "7 × 500 = 3500", "3500 − 8 = 3492", "3492 − 4 = 3488", "3 + 3488 = 3491", "2 + 3491 = 3493"], "key": "four-digit-3493-8♣J♦3♦9♦K♣Q♦2♥7♠4♦"} {"id": "train-four-digit-0107", "level": "four-digit", "target": 2778, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + 6 * (13 + 12 * (4 + 6 * 12)) / 2", "solution_steps": ["6 × 12 = 72", "4 + 72 = 76", "12 × 76 = 912", "13 + 912 = 925", "6 × 925 = 5550", "5550 ÷ 2 = 2775", "2 + 2775 = 2777", "1 + 2777 = 2778"], "key": "four-digit-2778-2♦A♠6♦6♥Q♥K♠Q♠2♣4♠"} {"id": "train-four-digit-0108", "level": "four-digit", "target": 9392, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 3 + 11 * (10 * (8 * 12 - 10) - 6) - 7", "solution_steps": ["8 × 12 = 96", "96 − 10 = 86", "10 × 86 = 860", "860 − 6 = 854", "11 × 854 = 9394", "9394 − 7 = 9387", "3 + 9387 = 9390", "2 + 9390 = 9392"], "key": "four-digit-9392-3♠8♥6♦7♥Q♥2♦10♣10♥J♥"} {"id": "train-four-digit-0109", "level": "four-digit", "target": 2584, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + 10 * (4 * (10 + 5 * 11) - 1) - 8", "solution_steps": ["5 × 11 = 55", "10 + 55 = 65", "4 × 65 = 260", "260 − 1 = 259", "10 × 259 = 2590", "2590 − 8 = 2582", "1 + 2582 = 2583", "1 + 2583 = 2584"], "key": "four-digit-2584-10♠4♥A♠8♦5♣10♥J♣A♥A♦"} {"id": "train-four-digit-0110", "level": "four-digit", "target": 3279, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 3 + 4 * (8 * 8 * 13 - 7 - 7)", "solution_steps": ["8 × 13 = 104", "8 × 104 = 832", "832 − 7 = 825", "825 − 7 = 818", "4 × 818 = 3272", "3 + 3272 = 3275", "2 + 3275 = 3277", "2 + 3277 = 3279"], "key": "four-digit-3279-8♥7♥8♠4♠7♣2♦K♣3♣2♣"} {"id": "train-four-digit-0111", "level": "four-digit", "target": 3474, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 2 + 6 * (3 + 8 * 12 * (3 + 3)) - 4", "solution_steps": ["3 + 3 = 6", "12 × 6 = 72", "8 × 72 = 576", "3 + 576 = 579", "6 × 579 = 3474", "3474 − 4 = 3470", "2 + 3470 = 3472", "2 + 3472 = 3474"], "key": "four-digit-3474-3♠Q♠2♠4♦2♣3♣6♥3♦8♠"} {"id": "train-four-digit-0112", "level": "four-digit", "target": 9665, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 4 * 13 * (6 + 12 * (4 + 11)) - 5 - 3", "solution_steps": ["4 + 11 = 15", "12 × 15 = 180", "6 + 180 = 186", "13 × 186 = 2418", "4 × 2418 = 9672", "9672 − 5 = 9667", "9667 − 3 = 9664", "1 + 9664 = 9665"], "key": "four-digit-9665-Q♣4♦5♠A♦3♥J♦6♦K♥4♣"} {"id": "train-four-digit-0113", "level": "four-digit", "target": 5850, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 5 * 10 * 13 * (10 - 8 / 8) - 2", "solution_steps": ["8 ÷ 8 = 1", "10 − 1 = 9", "13 × 9 = 117", "10 × 117 = 1170", "5 × 1170 = 5850", "5850 − 2 = 5848", "1 + 5848 = 5849", "1 + 5849 = 5850"], "key": "four-digit-5850-10♦A♦8♦10♠5♦K♥2♥8♥A♠"} {"id": "train-four-digit-0114", "level": "four-digit", "target": 6703, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "3 + 3 + 7 + 5 * (8 * 12 * (7 + 7) - 6)", "solution_steps": ["7 + 7 = 14", "12 × 14 = 168", "8 × 168 = 1344", "1344 − 6 = 1338", "5 × 1338 = 6690", "7 + 6690 = 6697", "3 + 6697 = 6700", "3 + 6700 = 6703"], "key": "four-digit-6703-5♥6♦7♣Q♥3♥3♦7♦8♦7♠"} {"id": "train-four-digit-0115", "level": "four-digit", "target": 2705, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 3 + 4 + 6 * 10 * (6 * 8 - 3) - 3", "solution_steps": ["6 × 8 = 48", "48 − 3 = 45", "10 × 45 = 450", "6 × 450 = 2700", "4 + 2700 = 2704", "2704 − 3 = 2701", "3 + 2701 = 2704", "1 + 2704 = 2705"], "key": "four-digit-2705-8♦3♠4♥6♥3♥A♦3♣6♠10♦"} {"id": "train-four-digit-0116", "level": "four-digit", "target": 7573, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 1 + 11 + 5 * 12 * (11 * 12 - 2 * 3)", "solution_steps": ["11 × 12 = 132", "2 × 3 = 6", "132 − 6 = 126", "12 × 126 = 1512", "5 × 1512 = 7560", "11 + 7560 = 7571", "1 + 7571 = 7572", "1 + 7572 = 7573"], "key": "four-digit-7573-A♣J♣J♥3♣A♥Q♠2♥Q♦5♥"} {"id": "train-four-digit-0117", "level": "four-digit", "target": 7617, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 + 6 + 8 + 8 * (12 * (7 * 13 - 11) - 10)", "solution_steps": ["7 × 13 = 91", "91 − 11 = 80", "12 × 80 = 960", "960 − 10 = 950", "8 × 950 = 7600", "8 + 7600 = 7608", "6 + 7608 = 7614", "3 + 7614 = 7617"], "key": "four-digit-7617-6♥K♦3♠8♣8♥Q♣10♣7♣J♦"} {"id": "train-four-digit-0118", "level": "four-digit", "target": 8057, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + 5 * 9 * (10 * (4 + 2 * 7) - 1)", "solution_steps": ["2 × 7 = 14", "4 + 14 = 18", "10 × 18 = 180", "180 − 1 = 179", "9 × 179 = 1611", "5 × 1611 = 8055", "1 + 8055 = 8056", "1 + 8056 = 8057"], "key": "four-digit-8057-A♣10♦2♠5♠9♣4♣A♥7♠A♦"} {"id": "train-four-digit-0119", "level": "four-digit", "target": 7780, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 7 * 11 * (13 + 9 * (10 + 11)) / 2", "solution_steps": ["10 + 11 = 21", "9 × 21 = 189", "13 + 189 = 202", "11 × 202 = 2222", "7 × 2222 = 15554", "15554 ÷ 2 = 7777", "2 + 7777 = 7779", "1 + 7779 = 7780"], "key": "four-digit-7780-K♠7♥2♥10♣9♥J♠J♦A♥2♠"} {"id": "train-four-digit-0120", "level": "four-digit", "target": 3191, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 3 + 7 * (7 + 8) * (11 + 8 * 10) / 3", "solution_steps": ["7 + 8 = 15", "8 × 10 = 80", "11 + 80 = 91", "15 × 91 = 1365", "7 × 1365 = 9555", "9555 ÷ 3 = 3185", "3 + 3185 = 3188", "3 + 3188 = 3191"], "key": "four-digit-3191-10♦8♠3♦J♥7♦3♠7♣3♣8♥"} {"id": "train-four-digit-0121", "level": "four-digit", "target": 9452, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "3 + 4 + 7 + 13 * (6 * 11 + 6 * 10 * 11)", "solution_steps": ["6 × 11 = 66", "10 × 11 = 110", "6 × 110 = 660", "66 + 660 = 726", "13 × 726 = 9438", "7 + 9438 = 9445", "4 + 9445 = 9449", "3 + 9449 = 9452"], "key": "four-digit-9452-10♠J♦7♣4♣3♠K♠6♥J♥6♠"} {"id": "train-four-digit-0122", "level": "four-digit", "target": 6715, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 1 + 13 + 10 * 10 * (8 * 9 - 3 - 2)", "solution_steps": ["8 × 9 = 72", "72 − 3 = 69", "69 − 2 = 67", "10 × 67 = 670", "10 × 670 = 6700", "13 + 6700 = 6713", "1 + 6713 = 6714", "1 + 6714 = 6715"], "key": "four-digit-6715-A♥9♣10♣10♦A♦3♣2♣8♠K♠"} {"id": "train-four-digit-0123", "level": "four-digit", "target": 4988, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "3 + 4 + 5 + 4 * (9 + 5 * 13 * (8 + 11))", "solution_steps": ["8 + 11 = 19", "13 × 19 = 247", "5 × 247 = 1235", "9 + 1235 = 1244", "4 × 1244 = 4976", "5 + 4976 = 4981", "4 + 4981 = 4985", "3 + 4985 = 4988"], "key": "four-digit-4988-9♥K♦3♣4♥8♠5♣J♣4♠5♠"} {"id": "train-four-digit-0124", "level": "four-digit", "target": 5221, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 3 + 4 * (8 + 11 * (10 * 13 - 12)) - 9", "solution_steps": ["10 × 13 = 130", "130 − 12 = 118", "11 × 118 = 1298", "8 + 1298 = 1306", "4 × 1306 = 5224", "5224 − 9 = 5215", "3 + 5215 = 5218", "3 + 5218 = 5221"], "key": "four-digit-5221-8♦4♠3♠3♦9♦K♠Q♦J♠10♥"} {"id": "train-four-digit-0125", "level": "four-digit", "target": 3003, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 3 + 8 * (9 * (5 * 10 - 7) - 12) - 3", "solution_steps": ["5 × 10 = 50", "50 − 7 = 43", "9 × 43 = 387", "387 − 12 = 375", "8 × 375 = 3000", "3000 − 3 = 2997", "3 + 2997 = 3000", "3 + 3000 = 3003"], "key": "four-digit-3003-10♥7♠9♥3♦8♥3♠5♠Q♠3♣"} {"id": "train-four-digit-0126", "level": "four-digit", "target": 4004, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 1 + 7 * (10 + 12) * (8 + 3 * 6) - 2", "solution_steps": ["10 + 12 = 22", "3 × 6 = 18", "8 + 18 = 26", "22 × 26 = 572", "7 × 572 = 4004", "4004 − 2 = 4002", "1 + 4002 = 4003", "1 + 4003 = 4004"], "key": "four-digit-4004-6♦7♠A♣3♠8♥2♦A♠10♦Q♥"} {"id": "train-four-digit-0127", "level": "four-digit", "target": 2015, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 2 + 4 + 8 * (11 + 5 * 6 * (3 + 5))", "solution_steps": ["3 + 5 = 8", "6 × 8 = 48", "5 × 48 = 240", "11 + 240 = 251", "8 × 251 = 2008", "4 + 2008 = 2012", "2 + 2012 = 2014", "1 + 2014 = 2015"], "key": "four-digit-2015-3♥2♦A♦5♥J♦8♣4♠5♣6♦"} {"id": "train-four-digit-0128", "level": "four-digit", "target": 2363, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 1 + 9 + 2 * 8 * (7 + 10 * (4 + 10))", "solution_steps": ["4 + 10 = 14", "10 × 14 = 140", "7 + 140 = 147", "8 × 147 = 1176", "2 × 1176 = 2352", "9 + 2352 = 2361", "1 + 2361 = 2362", "1 + 2362 = 2363"], "key": "four-digit-2363-2♣7♦10♦8♠A♠A♥4♣10♠9♦"} {"id": "train-four-digit-0129", "level": "four-digit", "target": 3606, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 2 + 4 + 10 * (6 + 13) * (9 + 10) - 11", "solution_steps": ["6 + 13 = 19", "9 + 10 = 19", "19 × 19 = 361", "10 × 361 = 3610", "3610 − 11 = 3599", "4 + 3599 = 3603", "2 + 3603 = 3605", "1 + 3605 = 3606"], "key": "four-digit-3606-K♥10♠A♦10♣2♥J♣6♦4♠9♦"} {"id": "train-four-digit-0130", "level": "four-digit", "target": 2095, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 3 + 4 + 10 + 12 * (13 + 8 * (7 + 13))", "solution_steps": ["7 + 13 = 20", "8 × 20 = 160", "13 + 160 = 173", "12 × 173 = 2076", "10 + 2076 = 2086", "4 + 2086 = 2090", "3 + 2090 = 2093", "2 + 2093 = 2095"], "key": "four-digit-2095-Q♣3♥8♣2♠7♣K♣K♠4♦10♥"} {"id": "train-four-digit-0131", "level": "four-digit", "target": 4555, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 1 + 2 * (5 + 10) * (8 + 12 * 12) - 7", "solution_steps": ["5 + 10 = 15", "12 × 12 = 144", "8 + 144 = 152", "15 × 152 = 2280", "2 × 2280 = 4560", "4560 − 7 = 4553", "1 + 4553 = 4554", "1 + 4554 = 4555"], "key": "four-digit-4555-Q♥7♣A♦10♦8♠2♣5♣A♠Q♦"} {"id": "train-four-digit-0132", "level": "four-digit", "target": 7004, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 2 * 5 * (9 * (9 * 10 - 11) - 11)", "solution_steps": ["9 × 10 = 90", "90 − 11 = 79", "9 × 79 = 711", "711 − 11 = 700", "5 × 700 = 3500", "2 × 3500 = 7000", "2 + 7000 = 7002", "2 + 7002 = 7004"], "key": "four-digit-7004-J♠9♠10♠5♣2♥J♥9♥2♦2♣"} {"id": "train-four-digit-0133", "level": "four-digit", "target": 3540, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 + 4 + 13 + 5 * 8 * (9 * 11 - 11)", "solution_steps": ["9 × 11 = 99", "99 − 11 = 88", "8 × 88 = 704", "5 × 704 = 3520", "13 + 3520 = 3533", "4 + 3533 = 3537", "2 + 3537 = 3539", "1 + 3539 = 3540"], "key": "four-digit-3540-2♥5♥8♥9♠A♥J♥J♣4♠K♠"} {"id": "train-four-digit-0134", "level": "four-digit", "target": 8056, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 4 + 10 * 13 * (11 + 8 * 8 - 13) - 9", "solution_steps": ["8 × 8 = 64", "64 − 13 = 51", "11 + 51 = 62", "13 × 62 = 806", "10 × 806 = 8060", "8060 − 9 = 8051", "4 + 8051 = 8055", "1 + 8055 = 8056"], "key": "four-digit-8056-J♥A♠K♦8♠K♣9♦10♥8♣4♥"} {"id": "train-four-digit-0135", "level": "four-digit", "target": 3844, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 3 + 4 * 6 * 8 * (9 + 12 - (13 - 12))", "solution_steps": ["13 − 12 = 1", "12 − 1 = 11", "9 + 11 = 20", "8 × 20 = 160", "6 × 160 = 960", "4 × 960 = 3840", "3 + 3840 = 3843", "1 + 3843 = 3844"], "key": "four-digit-3844-A♠3♥K♠4♦Q♣6♣9♥8♠Q♠"} {"id": "train-four-digit-0136", "level": "four-digit", "target": 5377, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + (5 * 10 - 4) * (7 + 10 * 11) - 5 - 3", "solution_steps": ["5 × 10 = 50", "50 − 4 = 46", "10 × 11 = 110", "7 + 110 = 117", "46 × 117 = 5382", "5382 − 5 = 5377", "5377 − 3 = 5374", "3 + 5374 = 5377"], "key": "four-digit-5377-3♥5♠4♣3♣10♦10♥J♦5♦7♦"} {"id": "train-four-digit-0137", "level": "four-digit", "target": 5285, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 2 + 9 + 10 * 11 * (12 + 4 * 9) - 7", "solution_steps": ["4 × 9 = 36", "12 + 36 = 48", "11 × 48 = 528", "10 × 528 = 5280", "9 + 5280 = 5289", "5289 − 7 = 5282", "2 + 5282 = 5284", "1 + 5284 = 5285"], "key": "four-digit-5285-9♦10♠A♠7♣Q♦J♠9♠2♦4♣"} {"id": "train-four-digit-0138", "level": "four-digit", "target": 5891, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 + 7 + 5 * 12 * (10 + 9 * 11 - 11)", "solution_steps": ["9 × 11 = 99", "99 − 11 = 88", "10 + 88 = 98", "12 × 98 = 1176", "5 × 1176 = 5880", "7 + 5880 = 5887", "3 + 5887 = 5890", "1 + 5890 = 5891"], "key": "four-digit-5891-J♣10♣9♥Q♣A♣J♥5♠7♦3♣"} {"id": "train-four-digit-0139", "level": "four-digit", "target": 1884, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "3 + 4 + 4 + 13 * (10 * (6 + 9) - 5) - 12", "solution_steps": ["6 + 9 = 15", "10 × 15 = 150", "150 − 5 = 145", "13 × 145 = 1885", "1885 − 12 = 1873", "4 + 1873 = 1877", "4 + 1877 = 1881", "3 + 1881 = 1884"], "key": "four-digit-1884-5♦Q♠3♠6♦9♦10♥4♠4♦K♠"} {"id": "train-four-digit-0140", "level": "four-digit", "target": 3710, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 6 + 7 + (8 + 8) * (12 * (9 + 11) - 9)", "solution_steps": ["8 + 8 = 16", "9 + 11 = 20", "12 × 20 = 240", "240 − 9 = 231", "16 × 231 = 3696", "7 + 3696 = 3703", "6 + 3703 = 3709", "1 + 3709 = 3710"], "key": "four-digit-3710-J♠Q♠9♠A♦7♣8♥9♥6♦8♠"} {"id": "train-four-digit-0141", "level": "four-digit", "target": 6844, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 3 + 6 * (4 + 8 * (6 + 12 * 12 - 8))", "solution_steps": ["12 × 12 = 144", "144 − 8 = 136", "6 + 136 = 142", "8 × 142 = 1136", "4 + 1136 = 1140", "6 × 1140 = 6840", "3 + 6840 = 6843", "1 + 6843 = 6844"], "key": "four-digit-6844-6♦Q♠3♠8♦6♥Q♦8♥A♣4♣"} {"id": "train-four-digit-0142", "level": "four-digit", "target": 8622, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 3 + 11 * (6 * 11 * 12 - 7) - 11 - 6", "solution_steps": ["11 × 12 = 132", "6 × 132 = 792", "792 − 7 = 785", "11 × 785 = 8635", "8635 − 11 = 8624", "8624 − 6 = 8618", "3 + 8618 = 8621", "1 + 8621 = 8622"], "key": "four-digit-8622-3♠A♣J♠6♣J♥J♦6♥Q♠7♥"} {"id": "train-four-digit-0143", "level": "four-digit", "target": 4761, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 1 + 7 + 11 * (6 * (6 * 13 - 4) - 12)", "solution_steps": ["6 × 13 = 78", "78 − 4 = 74", "6 × 74 = 444", "444 − 12 = 432", "11 × 432 = 4752", "7 + 4752 = 4759", "1 + 4759 = 4760", "1 + 4760 = 4761"], "key": "four-digit-4761-4♦K♣6♣A♦6♦A♠Q♣7♣J♣"} {"id": "train-four-digit-0144", "level": "four-digit", "target": 3738, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 2 + 10 * (4 * 9 * 11 - 13 - 9) - 6", "solution_steps": ["9 × 11 = 99", "4 × 99 = 396", "396 − 13 = 383", "383 − 9 = 374", "10 × 374 = 3740", "3740 − 6 = 3734", "2 + 3734 = 3736", "2 + 3736 = 3738"], "key": "four-digit-3738-6♥J♦4♥K♣10♦9♦2♣9♥2♦"} {"id": "train-four-digit-0145", "level": "four-digit", "target": 3827, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 + 7 * (3 * 9 + 5 * 8 * 13) - 5", "solution_steps": ["3 × 9 = 27", "8 × 13 = 104", "5 × 104 = 520", "27 + 520 = 547", "7 × 547 = 3829", "3829 − 5 = 3824", "2 + 3824 = 3826", "1 + 3826 = 3827"], "key": "four-digit-3827-K♠3♦9♣5♠2♠7♥8♣5♦A♥"} {"id": "train-four-digit-0146", "level": "four-digit", "target": 5695, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 5 + 6 * (9 + 8 * 10 * 12 - 12 - 9)", "solution_steps": ["10 × 12 = 120", "8 × 120 = 960", "960 − 12 = 948", "948 − 9 = 939", "9 + 939 = 948", "6 × 948 = 5688", "5 + 5688 = 5693", "2 + 5693 = 5695"], "key": "four-digit-5695-5♦Q♣8♣10♦9♠Q♦2♥6♠9♦"} {"id": "train-four-digit-0147", "level": "four-digit", "target": 1517, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 2 + 2 + 4 * 7 * (9 * 11 - 5 * 9)", "solution_steps": ["9 × 11 = 99", "5 × 9 = 45", "99 − 45 = 54", "7 × 54 = 378", "4 × 378 = 1512", "2 + 1512 = 1514", "2 + 1514 = 1516", "1 + 1516 = 1517"], "key": "four-digit-1517-9♣5♥9♥2♠A♣4♥7♦J♦2♦"} {"id": "train-four-digit-0148", "level": "four-digit", "target": 6584, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + (10 + 13 * (11 * (9 + 7 * 12) - 11)) / 2", "solution_steps": ["7 × 12 = 84", "9 + 84 = 93", "11 × 93 = 1023", "1023 − 11 = 1012", "13 × 1012 = 13156", "10 + 13156 = 13166", "13166 ÷ 2 = 6583", "1 + 6583 = 6584"], "key": "four-digit-6584-Q♠J♣9♦10♣J♦2♠K♦7♥A♥"} {"id": "train-four-digit-0149", "level": "four-digit", "target": 7920, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 1 + 6 * 11 * (2 + 8) * (5 + 7) - 2", "solution_steps": ["2 + 8 = 10", "5 + 7 = 12", "10 × 12 = 120", "11 × 120 = 1320", "6 × 1320 = 7920", "7920 − 2 = 7918", "1 + 7918 = 7919", "1 + 7919 = 7920"], "key": "four-digit-7920-6♠2♣5♦A♠J♣2♦A♥7♠8♦"} {"id": "train-four-digit-0150", "level": "four-digit", "target": 7729, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 2 * 3 * (3 * 5 * (7 * 13 - 5) - 2)", "solution_steps": ["7 × 13 = 91", "91 − 5 = 86", "5 × 86 = 430", "3 × 430 = 1290", "1290 − 2 = 1288", "3 × 1288 = 3864", "2 × 3864 = 7728", "1 + 7728 = 7729"], "key": "four-digit-7729-5♦2♦7♥2♥3♦K♣5♣A♥3♠"} {"id": "train-four-digit-0151", "level": "four-digit", "target": 2218, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 1 + 7 * (5 + 12 * (4 + 11 + 11)) - 3", "solution_steps": ["11 + 11 = 22", "4 + 22 = 26", "12 × 26 = 312", "5 + 312 = 317", "7 × 317 = 2219", "2219 − 3 = 2216", "1 + 2216 = 2217", "1 + 2217 = 2218"], "key": "four-digit-2218-A♣A♠Q♣5♠7♦4♥3♦J♦J♣"} {"id": "train-four-digit-0152", "level": "four-digit", "target": 9598, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "4 + 4 + 5 * (10 + 6 * 6 * (5 * 12 - 7))", "solution_steps": ["5 × 12 = 60", "60 − 7 = 53", "6 × 53 = 318", "6 × 318 = 1908", "10 + 1908 = 1918", "5 × 1918 = 9590", "4 + 9590 = 9594", "4 + 9594 = 9598"], "key": "four-digit-9598-7♥6♦10♣Q♠5♣6♠4♣4♦5♦"} {"id": "train-four-digit-0153", "level": "four-digit", "target": 3696, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 6 + 8 + (7 + 9) * (10 * 10 + 10 * 13)", "solution_steps": ["7 + 9 = 16", "10 × 10 = 100", "10 × 13 = 130", "100 + 130 = 230", "16 × 230 = 3680", "8 + 3680 = 3688", "6 + 3688 = 3694", "2 + 3694 = 3696"], "key": "four-digit-3696-6♣9♠7♥8♥K♥2♥10♠10♣10♥"} {"id": "train-four-digit-0154", "level": "four-digit", "target": 1337, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 3 + 6 + 6 * (5 * (5 + 4 * 10) - 4)", "solution_steps": ["4 × 10 = 40", "5 + 40 = 45", "5 × 45 = 225", "225 − 4 = 221", "6 × 221 = 1326", "6 + 1326 = 1332", "3 + 1332 = 1335", "2 + 1335 = 1337"], "key": "four-digit-1337-3♠4♦5♦10♠2♠4♠6♥6♣5♥"} {"id": "train-four-digit-0155", "level": "four-digit", "target": 7287, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "4 + 5 + 6 + 6 * 12 * (6 + 7 + 8 * 11)", "solution_steps": ["8 × 11 = 88", "7 + 88 = 95", "6 + 95 = 101", "12 × 101 = 1212", "6 × 1212 = 7272", "6 + 7272 = 7278", "5 + 7278 = 7283", "4 + 7283 = 7287"], "key": "four-digit-7287-6♥8♣Q♦7♣J♣5♦6♣4♣6♠"} {"id": "train-four-digit-0156", "level": "four-digit", "target": 2879, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 + 6 * (7 + 9) * (8 + 9 + 13) - 4", "solution_steps": ["7 + 9 = 16", "9 + 13 = 22", "8 + 22 = 30", "16 × 30 = 480", "6 × 480 = 2880", "2880 − 4 = 2876", "2 + 2876 = 2878", "1 + 2878 = 2879"], "key": "four-digit-2879-4♣2♥9♠7♦K♣6♦8♦9♣A♥"} {"id": "train-four-digit-0157", "level": "four-digit", "target": 2674, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + (6 * (8 * 8 * (2 + 12) - 4) - 6) / 2", "solution_steps": ["2 + 12 = 14", "8 × 14 = 112", "8 × 112 = 896", "896 − 4 = 892", "6 × 892 = 5352", "5352 − 6 = 5346", "5346 ÷ 2 = 2673", "1 + 2673 = 2674"], "key": "four-digit-2674-2♠Q♠6♠6♣4♦8♦A♣2♣8♣"} {"id": "train-four-digit-0158", "level": "four-digit", "target": 1476, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "4 + 4 + 5 + 7 * (5 + 6 * (11 + 11 + 12))", "solution_steps": ["11 + 12 = 23", "11 + 23 = 34", "6 × 34 = 204", "5 + 204 = 209", "7 × 209 = 1463", "5 + 1463 = 1468", "4 + 1468 = 1472", "4 + 1472 = 1476"], "key": "four-digit-1476-J♥4♦J♠5♠6♦Q♦4♥7♥5♦"} {"id": "train-four-digit-0159", "level": "four-digit", "target": 4529, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 2 + 6 + 5 * (12 * (11 + 5 * 13) - 8)", "solution_steps": ["5 × 13 = 65", "11 + 65 = 76", "12 × 76 = 912", "912 − 8 = 904", "5 × 904 = 4520", "6 + 4520 = 4526", "2 + 4526 = 4528", "1 + 4528 = 4529"], "key": "four-digit-4529-6♣Q♦5♥2♥A♦K♣8♣J♣5♠"} {"id": "train-four-digit-0160", "level": "four-digit", "target": 7294, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "4 + 7 + 9 * (7 + 11 * (9 * 9 - 8)) - 7", "solution_steps": ["9 × 9 = 81", "81 − 8 = 73", "11 × 73 = 803", "7 + 803 = 810", "9 × 810 = 7290", "7290 − 7 = 7283", "7 + 7283 = 7290", "4 + 7290 = 7294"], "key": "four-digit-7294-9♣8♠7♥7♦9♠J♣9♦4♥7♣"} {"id": "train-four-digit-0161", "level": "four-digit", "target": 8694, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 1 + 4 * (3 + 10 + 10 * 12 * (5 + 13))", "solution_steps": ["5 + 13 = 18", "12 × 18 = 216", "10 × 216 = 2160", "10 + 2160 = 2170", "3 + 2170 = 2173", "4 × 2173 = 8692", "1 + 8692 = 8693", "1 + 8693 = 8694"], "key": "four-digit-8694-4♣A♣10♥A♦K♥3♠Q♥10♣5♥"} {"id": "train-four-digit-0162", "level": "four-digit", "target": 2711, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 5 + 12 + 9 * 12 * (6 + 9 + 10) - 9", "solution_steps": ["9 + 10 = 19", "6 + 19 = 25", "12 × 25 = 300", "9 × 300 = 2700", "12 + 2700 = 2712", "2712 − 9 = 2703", "5 + 2703 = 2708", "3 + 2708 = 2711"], "key": "four-digit-2711-10♣9♦Q♦6♥9♥Q♥5♠9♠3♠"} {"id": "train-four-digit-0163", "level": "four-digit", "target": 7852, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "5 + 7 + 8 * (10 + 10 * (8 * 12 + 12 / 12))", "solution_steps": ["8 × 12 = 96", "12 ÷ 12 = 1", "96 + 1 = 97", "10 × 97 = 970", "10 + 970 = 980", "8 × 980 = 7840", "7 + 7840 = 7847", "5 + 7847 = 7852"], "key": "four-digit-7852-5♠10♣Q♦8♥10♥Q♣8♣Q♠7♦"} {"id": "train-four-digit-0164", "level": "four-digit", "target": 3217, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 2 + 9 * (12 + 8 * (8 + 13 * 13)) / 4", "solution_steps": ["13 × 13 = 169", "8 + 169 = 177", "8 × 177 = 1416", "12 + 1416 = 1428", "9 × 1428 = 12852", "12852 ÷ 4 = 3213", "2 + 3213 = 3215", "2 + 3215 = 3217"], "key": "four-digit-3217-9♦4♥K♣2♣K♠8♦8♥Q♠2♠"} {"id": "train-four-digit-0165", "level": "four-digit", "target": 5528, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 1 + 2 * 9 * (8 * 13 * (10 - 7) - 5)", "solution_steps": ["10 − 7 = 3", "13 × 3 = 39", "8 × 39 = 312", "312 − 5 = 307", "9 × 307 = 2763", "2 × 2763 = 5526", "1 + 5526 = 5527", "1 + 5527 = 5528"], "key": "four-digit-5528-10♥K♥A♦9♠A♠7♥5♣8♥2♠"} {"id": "train-four-digit-0166", "level": "four-digit", "target": 7712, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 + 3 + 5 * (11 * (11 + 10 * 13) - 8) - 9", "solution_steps": ["10 × 13 = 130", "11 + 130 = 141", "11 × 141 = 1551", "1551 − 8 = 1543", "5 × 1543 = 7715", "7715 − 9 = 7706", "3 + 7706 = 7709", "3 + 7709 = 7712"], "key": "four-digit-7712-10♦J♠8♥3♣K♥9♣3♦J♥5♣"} {"id": "train-four-digit-0167", "level": "four-digit", "target": 2171, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "3 + 3 + 5 + 4 * 10 * (8 + 10) * (13 - 10)", "solution_steps": ["8 + 10 = 18", "13 − 10 = 3", "18 × 3 = 54", "10 × 54 = 540", "4 × 540 = 2160", "5 + 2160 = 2165", "3 + 2165 = 2168", "3 + 2168 = 2171"], "key": "four-digit-2171-10♣8♣3♦10♥4♥10♦5♠3♥K♣"} {"id": "train-four-digit-0168", "level": "four-digit", "target": 5226, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 2 + 13 + 5 * (9 * (11 * 11 - 5) - 2)", "solution_steps": ["11 × 11 = 121", "121 − 5 = 116", "9 × 116 = 1044", "1044 − 2 = 1042", "5 × 1042 = 5210", "13 + 5210 = 5223", "2 + 5223 = 5225", "1 + 5225 = 5226"], "key": "four-digit-5226-5♣2♦J♦A♥2♣J♥K♦9♣5♦"} {"id": "train-four-digit-0169", "level": "four-digit", "target": 5299, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 2 + 4 + 7 * 9 * (11 - 7) * (8 + 13)", "solution_steps": ["11 − 7 = 4", "8 + 13 = 21", "4 × 21 = 84", "9 × 84 = 756", "7 × 756 = 5292", "4 + 5292 = 5296", "2 + 5296 = 5298", "1 + 5298 = 5299"], "key": "four-digit-5299-7♠K♠4♣A♣J♣2♠7♥8♠9♠"} {"id": "train-four-digit-0170", "level": "four-digit", "target": 1775, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "4 + 5 + 5 + 6 + 13 * (8 * (6 + 12) - 9)", "solution_steps": ["6 + 12 = 18", "8 × 18 = 144", "144 − 9 = 135", "13 × 135 = 1755", "6 + 1755 = 1761", "5 + 1761 = 1766", "5 + 1766 = 1771", "4 + 1771 = 1775"], "key": "four-digit-1775-5♥5♦4♥6♠9♦8♥K♠Q♥6♦"} {"id": "train-four-digit-0171", "level": "four-digit", "target": 4738, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 4 + 9 * 13 + 6 * 7 * 10 * 11 - 5", "solution_steps": ["9 × 13 = 117", "10 × 11 = 110", "7 × 110 = 770", "6 × 770 = 4620", "117 + 4620 = 4737", "4737 − 5 = 4732", "4 + 4732 = 4736", "2 + 4736 = 4738"], "key": "four-digit-4738-4♠6♠9♣7♦2♦J♥5♣10♠K♦"} {"id": "train-four-digit-0172", "level": "four-digit", "target": 2193, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 4 * (10 * (7 + 6 * 8) - 2) - 3", "solution_steps": ["6 × 8 = 48", "7 + 48 = 55", "10 × 55 = 550", "550 − 2 = 548", "4 × 548 = 2192", "2192 − 3 = 2189", "2 + 2189 = 2191", "2 + 2191 = 2193"], "key": "four-digit-2193-3♠2♥7♥8♥4♣2♦10♠6♦2♣"} {"id": "train-four-digit-0173", "level": "four-digit", "target": 8466, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "2 + 2 + (4 + 6 * 9) * (12 * 13 - 10) - 6", "solution_steps": ["6 × 9 = 54", "4 + 54 = 58", "12 × 13 = 156", "156 − 10 = 146", "58 × 146 = 8468", "8468 − 6 = 8462", "2 + 8462 = 8464", "2 + 8464 = 8466"], "key": "four-digit-8466-4♥Q♦6♠6♥10♦K♠2♥2♣9♣"} {"id": "train-four-digit-0174", "level": "four-digit", "target": 2025, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 3 + 6 + 11 * (8 * (7 + 8 + 9) - 9)", "solution_steps": ["8 + 9 = 17", "7 + 17 = 24", "8 × 24 = 192", "192 − 9 = 183", "11 × 183 = 2013", "6 + 2013 = 2019", "3 + 2019 = 2022", "3 + 2022 = 2025"], "key": "four-digit-2025-8♥9♦6♥9♥8♦7♦J♠3♥3♦"} {"id": "train-four-digit-0175", "level": "four-digit", "target": 6741, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "2 + 3 + 4 + 11 * 12 * (7 + 7 * 8 - 12)", "solution_steps": ["7 × 8 = 56", "56 − 12 = 44", "7 + 44 = 51", "12 × 51 = 612", "11 × 612 = 6732", "4 + 6732 = 6736", "3 + 6736 = 6739", "2 + 6739 = 6741"], "key": "four-digit-6741-8♦Q♥2♥J♥7♠3♠Q♣7♥4♥"} {"id": "train-four-digit-0176", "level": "four-digit", "target": 4441, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 5 + (11 + 12) * (13 + 10 * (9 + 9)) - 6", "solution_steps": ["11 + 12 = 23", "9 + 9 = 18", "10 × 18 = 180", "13 + 180 = 193", "23 × 193 = 4439", "4439 − 6 = 4433", "5 + 4433 = 4438", "3 + 4438 = 4441"], "key": "four-digit-4441-Q♥K♣6♠10♥5♣J♦9♣9♦3♣"} {"id": "train-four-digit-0177", "level": "four-digit", "target": 5184, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 3 + 9 * (12 * (7 + 6 * 7) - 12) - 4", "solution_steps": ["6 × 7 = 42", "7 + 42 = 49", "12 × 49 = 588", "588 − 12 = 576", "9 × 576 = 5184", "5184 − 4 = 5180", "3 + 5180 = 5183", "1 + 5183 = 5184"], "key": "four-digit-5184-7♠7♥A♥4♦6♥3♣Q♣Q♥9♦"} {"id": "train-four-digit-0178", "level": "four-digit", "target": 5063, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "7 + 8 + 8 + (10 + 11) * (11 * (11 + 12) - 13)", "solution_steps": ["10 + 11 = 21", "11 + 12 = 23", "11 × 23 = 253", "253 − 13 = 240", "21 × 240 = 5040", "8 + 5040 = 5048", "8 + 5048 = 5056", "7 + 5056 = 5063"], "key": "four-digit-5063-8♦10♥7♠Q♦8♥J♥J♦J♠K♠"} {"id": "train-four-digit-0179", "level": "four-digit", "target": 2080, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 + 5 + 7 * (8 + (5 + 13) * (6 + 10))", "solution_steps": ["5 + 13 = 18", "6 + 10 = 16", "18 × 16 = 288", "8 + 288 = 296", "7 × 296 = 2072", "5 + 2072 = 2077", "2 + 2077 = 2079", "1 + 2079 = 2080"], "key": "four-digit-2080-8♦5♦10♠K♣7♥5♣2♥6♥A♥"} {"id": "train-four-digit-0180", "level": "four-digit", "target": 1555, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 4 + 5 * (10 + 9 * 12 * (10 + 10)) / 7", "solution_steps": ["10 + 10 = 20", "12 × 20 = 240", "9 × 240 = 2160", "10 + 2160 = 2170", "2170 ÷ 7 = 310", "5 × 310 = 1550", "4 + 1550 = 1554", "1 + 1554 = 1555"], "key": "four-digit-1555-Q♥10♣A♥7♥9♥10♠4♣5♥10♥"} {"id": "train-four-digit-0181", "level": "four-digit", "target": 5882, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 3 + 8 + 10 * (11 + 4 * (12 + 11 * 12))", "solution_steps": ["11 × 12 = 132", "12 + 132 = 144", "4 × 144 = 576", "11 + 576 = 587", "10 × 587 = 5870", "8 + 5870 = 5878", "3 + 5878 = 5881", "1 + 5881 = 5882"], "key": "four-digit-5882-Q♦8♥Q♣A♣J♠4♠3♣J♥10♥"} {"id": "train-four-digit-0182", "level": "four-digit", "target": 7557, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 2 + 6 + 12 * (5 * (10 + 9 * 13) - 6)", "solution_steps": ["9 × 13 = 117", "10 + 117 = 127", "5 × 127 = 635", "635 − 6 = 629", "12 × 629 = 7548", "6 + 7548 = 7554", "2 + 7554 = 7556", "1 + 7556 = 7557"], "key": "four-digit-7557-Q♦2♦9♣6♦6♣A♥10♠5♦K♥"} {"id": "train-four-digit-0183", "level": "four-digit", "target": 4005, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 3 + 9 * (6 * (6 + 7 * 10) - 11) - 4", "solution_steps": ["7 × 10 = 70", "6 + 70 = 76", "6 × 76 = 456", "456 − 11 = 445", "9 × 445 = 4005", "4005 − 4 = 4001", "3 + 4001 = 4004", "1 + 4004 = 4005"], "key": "four-digit-4005-A♥6♠9♥3♣J♥10♣6♦4♦7♣"} {"id": "train-four-digit-0184", "level": "four-digit", "target": 9991, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 2 + 13 * (13 + 12 * (3 + 6 * 10)) - 9", "solution_steps": ["6 × 10 = 60", "3 + 60 = 63", "12 × 63 = 756", "13 + 756 = 769", "13 × 769 = 9997", "9997 − 9 = 9988", "2 + 9988 = 9990", "1 + 9990 = 9991"], "key": "four-digit-9991-Q♣10♠K♥A♥3♠K♦6♠9♣2♣"} {"id": "train-four-digit-0185", "level": "four-digit", "target": 6152, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 4 + 4 + 8 * (13 + 7 * 9 * 12) - 10", "solution_steps": ["9 × 12 = 108", "7 × 108 = 756", "13 + 756 = 769", "8 × 769 = 6152", "6152 − 10 = 6142", "4 + 6142 = 6146", "4 + 6146 = 6150", "2 + 6150 = 6152"], "key": "four-digit-6152-7♦10♥Q♦9♥4♠8♦2♠K♠4♦"} {"id": "train-four-digit-0186", "level": "four-digit", "target": 4615, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 5 + 5 + 8 * 8 * 12 * (13 - 7) - 6", "solution_steps": ["13 − 7 = 6", "12 × 6 = 72", "8 × 72 = 576", "8 × 576 = 4608", "4608 − 6 = 4602", "5 + 4602 = 4607", "5 + 4607 = 4612", "3 + 4612 = 4615"], "key": "four-digit-4615-8♠5♠7♥6♦5♣K♣8♦Q♠3♣"} {"id": "train-four-digit-0187", "level": "four-digit", "target": 5235, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 3 + 3 + 8 + 5 * 12 * (9 * 11 - 12)", "solution_steps": ["9 × 11 = 99", "99 − 12 = 87", "12 × 87 = 1044", "5 × 1044 = 5220", "8 + 5220 = 5228", "3 + 5228 = 5231", "3 + 5231 = 5234", "1 + 5234 = 5235"], "key": "four-digit-5235-9♥Q♥3♦Q♦J♦8♥A♥3♥5♥"} {"id": "train-four-digit-0188", "level": "four-digit", "target": 7324, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "3 + 8 * (7 * 11 * (5 + 7) - 4 - 4) - 7", "solution_steps": ["5 + 7 = 12", "11 × 12 = 132", "7 × 132 = 924", "924 − 4 = 920", "920 − 4 = 916", "8 × 916 = 7328", "7328 − 7 = 7321", "3 + 7321 = 7324"], "key": "four-digit-7324-7♣7♦3♣8♦5♣7♠4♥J♠4♣"} {"id": "train-four-digit-0189", "level": "four-digit", "target": 5499, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 12 * (5 * (9 + 7 * 12) - 6) - 6 - 4", "solution_steps": ["7 × 12 = 84", "9 + 84 = 93", "5 × 93 = 465", "465 − 6 = 459", "12 × 459 = 5508", "5508 − 6 = 5502", "5502 − 4 = 5498", "1 + 5498 = 5499"], "key": "four-digit-5499-5♠Q♦9♥6♣7♦6♦A♦4♥Q♣"} {"id": "train-four-digit-0190", "level": "four-digit", "target": 3814, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 3 + 5 * (6 + 4 * (9 + 9 * (7 + 13)))", "solution_steps": ["7 + 13 = 20", "9 × 20 = 180", "9 + 180 = 189", "4 × 189 = 756", "6 + 756 = 762", "5 × 762 = 3810", "3 + 3810 = 3813", "1 + 3813 = 3814"], "key": "four-digit-3814-A♦7♥4♠3♦6♥9♠5♠K♠9♥"} {"id": "train-four-digit-0191", "level": "four-digit", "target": 9131, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 7 * (10 + 9 * 9 * (7 + 9)) - 8 - 5", "solution_steps": ["7 + 9 = 16", "9 × 16 = 144", "9 × 144 = 1296", "10 + 1296 = 1306", "7 × 1306 = 9142", "9142 − 8 = 9134", "9134 − 5 = 9129", "2 + 9129 = 9131"], "key": "four-digit-9131-9♣8♥7♣5♣9♥7♠10♣9♠2♥"} {"id": "train-four-digit-0192", "level": "four-digit", "target": 6309, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 3 + 4 * 8 * (5 * 5 * (11 - 3) - 3)", "solution_steps": ["11 − 3 = 8", "5 × 8 = 40", "5 × 40 = 200", "200 − 3 = 197", "8 × 197 = 1576", "4 × 1576 = 6304", "3 + 6304 = 6307", "2 + 6307 = 6309"], "key": "four-digit-6309-8♦5♣J♥3♣5♥3♥4♠3♠2♥"} {"id": "train-four-digit-0193", "level": "four-digit", "target": 1698, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 2 + 6 + 9 + 7 * 12 * (4 + 8 + 8)", "solution_steps": ["8 + 8 = 16", "4 + 16 = 20", "12 × 20 = 240", "7 × 240 = 1680", "9 + 1680 = 1689", "6 + 1689 = 1695", "2 + 1695 = 1697", "1 + 1697 = 1698"], "key": "four-digit-1698-8♣4♥6♦A♠7♣2♦Q♦8♦9♦"} {"id": "train-four-digit-0194", "level": "four-digit", "target": 4972, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 2 + 4 + 5 * (3 + 9 * 11 * (5 + 5))", "solution_steps": ["5 + 5 = 10", "11 × 10 = 110", "9 × 110 = 990", "3 + 990 = 993", "5 × 993 = 4965", "4 + 4965 = 4969", "2 + 4969 = 4971", "1 + 4971 = 4972"], "key": "four-digit-4972-2♣5♣J♠3♠A♥4♣9♥5♠5♦"} {"id": "train-four-digit-0195", "level": "four-digit", "target": 8524, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 3 * 4 * 9 * (7 + 8 * 9) - 7 - 3", "solution_steps": ["8 × 9 = 72", "7 + 72 = 79", "9 × 79 = 711", "4 × 711 = 2844", "3 × 2844 = 8532", "8532 − 7 = 8525", "8525 − 3 = 8522", "2 + 8522 = 8524"], "key": "four-digit-8524-4♣3♥9♠9♦8♠7♥2♣7♠3♣"} {"id": "train-four-digit-0196", "level": "four-digit", "target": 6628, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 2 + 8 + 13 * (9 + 6 * 7 * 12 - 4)", "solution_steps": ["7 × 12 = 84", "6 × 84 = 504", "9 + 504 = 513", "513 − 4 = 509", "13 × 509 = 6617", "8 + 6617 = 6625", "2 + 6625 = 6627", "1 + 6627 = 6628"], "key": "four-digit-6628-K♥4♥A♣6♥2♥8♦Q♥9♠7♥"} {"id": "train-four-digit-0197", "level": "four-digit", "target": 2213, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 4 + (7 + 12) * (7 + 9 * 13 - 8)", "solution_steps": ["7 + 12 = 19", "9 × 13 = 117", "117 − 8 = 109", "7 + 109 = 116", "19 × 116 = 2204", "4 + 2204 = 2208", "3 + 2208 = 2211", "2 + 2211 = 2213"], "key": "four-digit-2213-K♦Q♠2♠7♦9♥4♦8♣7♥3♠"} {"id": "train-four-digit-0198", "level": "four-digit", "target": 9007, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + 3 + 7 + 7 * (11 + 13 * (10 * 11 - 12))", "solution_steps": ["10 × 11 = 110", "110 − 12 = 98", "13 × 98 = 1274", "11 + 1274 = 1285", "7 × 1285 = 8995", "7 + 8995 = 9002", "3 + 9002 = 9005", "2 + 9005 = 9007"], "key": "four-digit-9007-10♦J♥Q♣J♠3♠K♠7♦2♥7♣"} {"id": "train-four-digit-0199", "level": "four-digit", "target": 3480, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 3 + (9 + 13) * (6 + 8 + 12 * (3 + 9))", "solution_steps": ["9 + 13 = 22", "3 + 9 = 12", "12 × 12 = 144", "8 + 144 = 152", "6 + 152 = 158", "22 × 158 = 3476", "3 + 3476 = 3479", "1 + 3479 = 3480"], "key": "four-digit-3480-Q♥8♠A♣9♦9♥3♦6♦K♥3♥"} {"id": "train-four-digit-0200", "level": "four-digit", "target": 7944, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 + 7 * 8 * (12 + 10 * 13) - 7 - 3", "solution_steps": ["10 × 13 = 130", "12 + 130 = 142", "8 × 142 = 1136", "7 × 1136 = 7952", "7952 − 7 = 7945", "7945 − 3 = 7942", "1 + 7942 = 7943", "1 + 7943 = 7944"], "key": "four-digit-7944-3♠10♦7♥Q♥K♠7♣A♦8♠A♥"} {"id": "train-four-digit-0201", "level": "four-digit", "target": 6137, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "6 + 7 + 13 * (11 * 11 * (11 - 7) - 12) - 12", "solution_steps": ["11 − 7 = 4", "11 × 4 = 44", "11 × 44 = 484", "484 − 12 = 472", "13 × 472 = 6136", "6136 − 12 = 6124", "7 + 6124 = 6131", "6 + 6131 = 6137"], "key": "four-digit-6137-K♠Q♠6♦Q♣J♠J♣J♦7♦7♠"} {"id": "train-four-digit-0202", "level": "four-digit", "target": 1957, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "3 + 4 + 5 + (9 + 12) * (9 * 11 - 6) - 8", "solution_steps": ["9 + 12 = 21", "9 × 11 = 99", "99 − 6 = 93", "21 × 93 = 1953", "1953 − 8 = 1945", "5 + 1945 = 1950", "4 + 1950 = 1954", "3 + 1954 = 1957"], "key": "four-digit-1957-8♦3♦6♥Q♠5♦4♦J♠9♥9♦"} {"id": "train-four-digit-0203", "level": "four-digit", "target": 9421, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 + 11 * ((6 + 6) * (6 + 6 * 11) - 7) - 9", "solution_steps": ["6 + 6 = 12", "6 × 11 = 66", "6 + 66 = 72", "12 × 72 = 864", "864 − 7 = 857", "11 × 857 = 9427", "9427 − 9 = 9418", "3 + 9418 = 9421"], "key": "four-digit-9421-6♠7♠6♣3♠6♥6♦9♦J♥J♣"} {"id": "train-four-digit-0204", "level": "four-digit", "target": 6111, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + (6 + 12 * (4 * 4 * 8 * 12 - 9)) / 3", "solution_steps": ["8 × 12 = 96", "4 × 96 = 384", "4 × 384 = 1536", "1536 − 9 = 1527", "12 × 1527 = 18324", "6 + 18324 = 18330", "18330 ÷ 3 = 6110", "1 + 6110 = 6111"], "key": "four-digit-6111-3♣6♥4♥8♣Q♠9♦A♦4♣Q♥"} {"id": "train-four-digit-0205", "level": "four-digit", "target": 5267, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 2 + 12 + 5 * (11 + 8 * 10 * 13) - 3", "solution_steps": ["10 × 13 = 130", "8 × 130 = 1040", "11 + 1040 = 1051", "5 × 1051 = 5255", "12 + 5255 = 5267", "5267 − 3 = 5264", "2 + 5264 = 5266", "1 + 5266 = 5267"], "key": "four-digit-5267-A♠5♠Q♥J♥10♥2♦3♦8♦K♦"} {"id": "train-four-digit-0206", "level": "four-digit", "target": 1894, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "4 + 5 + 8 + 11 + 8 * 13 * (9 + 9) - 6", "solution_steps": ["9 + 9 = 18", "13 × 18 = 234", "8 × 234 = 1872", "11 + 1872 = 1883", "8 + 1883 = 1891", "1891 − 6 = 1885", "5 + 1885 = 1890", "4 + 1890 = 1894"], "key": "four-digit-1894-4♠8♦K♥J♣9♠9♦5♠8♣6♦"} {"id": "train-four-digit-0207", "level": "four-digit", "target": 7195, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 3 * 4 * 5 * 8 * (3 + 12) - 7", "solution_steps": ["3 + 12 = 15", "8 × 15 = 120", "5 × 120 = 600", "4 × 600 = 2400", "3 × 2400 = 7200", "7200 − 7 = 7193", "1 + 7193 = 7194", "1 + 7194 = 7195"], "key": "four-digit-7195-7♣A♦3♠3♣Q♠8♥4♥5♣A♣"} {"id": "train-four-digit-0208", "level": "four-digit", "target": 2426, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 2 + 3 * (6 + 6 * (12 * 12 - 10)) - 7", "solution_steps": ["12 × 12 = 144", "144 − 10 = 134", "6 × 134 = 804", "6 + 804 = 810", "3 × 810 = 2430", "2430 − 7 = 2423", "2 + 2423 = 2425", "1 + 2425 = 2426"], "key": "four-digit-2426-6♣Q♣Q♥2♥10♣6♥7♦A♠3♥"} {"id": "train-four-digit-0209", "level": "four-digit", "target": 4864, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 5 * 7 * (3 * 3 * (5 + 11) - 5) - 2", "solution_steps": ["5 + 11 = 16", "3 × 16 = 48", "3 × 48 = 144", "144 − 5 = 139", "7 × 139 = 973", "5 × 973 = 4865", "4865 − 2 = 4863", "1 + 4863 = 4864"], "key": "four-digit-4864-A♠J♠5♠5♥5♣7♦3♦2♠3♥"} {"id": "train-four-digit-0210", "level": "four-digit", "target": 1036, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 2 + 4 + 7 * (12 * 13 * (10 - 9) - 9)", "solution_steps": ["10 − 9 = 1", "13 × 1 = 13", "12 × 13 = 156", "156 − 9 = 147", "7 × 147 = 1029", "4 + 1029 = 1033", "2 + 1033 = 1035", "1 + 1035 = 1036"], "key": "four-digit-1036-9♥9♣K♠2♣10♥Q♥A♦7♠4♥"} {"id": "train-four-digit-0211", "level": "four-digit", "target": 8592, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 2 + 3 * (3 + 4 * (6 * 10 * 12 - 5))", "solution_steps": ["10 × 12 = 120", "6 × 120 = 720", "720 − 5 = 715", "4 × 715 = 2860", "3 + 2860 = 2863", "3 × 2863 = 8589", "2 + 8589 = 8591", "1 + 8591 = 8592"], "key": "four-digit-8592-2♥Q♠3♠A♦3♦5♦6♠4♠10♥"} {"id": "train-four-digit-0212", "level": "four-digit", "target": 5957, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 7 + 10 * (8 * (4 + 6 * 12) - 13) - 1", "solution_steps": ["6 × 12 = 72", "4 + 72 = 76", "8 × 76 = 608", "608 − 13 = 595", "10 × 595 = 5950", "7 + 5950 = 5957", "5957 − 1 = 5956", "1 + 5956 = 5957"], "key": "four-digit-5957-6♠A♠10♣7♥Q♥4♥A♣8♣K♠"} {"id": "train-four-digit-0213", "level": "four-digit", "target": 8027, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 9 * (3 * 5 * (5 + 5 * 11) - 8) - 3", "solution_steps": ["5 × 11 = 55", "5 + 55 = 60", "5 × 60 = 300", "3 × 300 = 900", "900 − 8 = 892", "9 × 892 = 8028", "8028 − 3 = 8025", "2 + 8025 = 8027"], "key": "four-digit-8027-5♦5♠5♣3♦J♣3♣9♦8♥2♠"} {"id": "train-four-digit-0214", "level": "four-digit", "target": 8746, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 1 * 5 * (3 + 3 * (6 + 4 * 12 * 12))", "solution_steps": ["12 × 12 = 144", "4 × 144 = 576", "6 + 576 = 582", "3 × 582 = 1746", "3 + 1746 = 1749", "5 × 1749 = 8745", "1 × 8745 = 8745", "1 + 8745 = 8746"], "key": "four-digit-8746-3♥3♠A♦Q♦A♠6♣4♦5♣Q♣"} {"id": "train-four-digit-0215", "level": "four-digit", "target": 9454, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + (3 + 13) * (10 * 10 * (10 - 4) - 9) - 4", "solution_steps": ["3 + 13 = 16", "10 − 4 = 6", "10 × 6 = 60", "10 × 60 = 600", "600 − 9 = 591", "16 × 591 = 9456", "9456 − 4 = 9452", "2 + 9452 = 9454"], "key": "four-digit-9454-4♥4♠9♣K♣10♥2♠3♥10♦10♣"} {"id": "train-four-digit-0216", "level": "four-digit", "target": 2529, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 7 * (12 * (10 + 10 + 11) - 9) - 9 - 4", "solution_steps": ["10 + 11 = 21", "10 + 21 = 31", "12 × 31 = 372", "372 − 9 = 363", "7 × 363 = 2541", "2541 − 9 = 2532", "2532 − 4 = 2528", "1 + 2528 = 2529"], "key": "four-digit-2529-4♠Q♠9♠9♥7♠10♦A♥J♠10♥"} {"id": "train-four-digit-0217", "level": "four-digit", "target": 1462, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "4 + 5 + 9 + 11 * (12 * 12 - 6 - 6) - 8", "solution_steps": ["12 × 12 = 144", "144 − 6 = 138", "138 − 6 = 132", "11 × 132 = 1452", "9 + 1452 = 1461", "1461 − 8 = 1453", "5 + 1453 = 1458", "4 + 1458 = 1462"], "key": "four-digit-1462-4♦6♠J♦8♦6♣5♦Q♣Q♦9♥"} {"id": "train-four-digit-0218", "level": "four-digit", "target": 1498, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 2 + 7 + 10 * (5 + 9 * (8 + 8)) - 2", "solution_steps": ["8 + 8 = 16", "9 × 16 = 144", "5 + 144 = 149", "10 × 149 = 1490", "7 + 1490 = 1497", "1497 − 2 = 1495", "2 + 1495 = 1497", "1 + 1497 = 1498"], "key": "four-digit-1498-7♠8♠2♠8♣A♦9♥2♣10♦5♣"} {"id": "train-four-digit-0219", "level": "four-digit", "target": 8873, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 4 + 6 * 10 * (12 * 13 - 8) - 7 - 5", "solution_steps": ["12 × 13 = 156", "156 − 8 = 148", "10 × 148 = 1480", "6 × 1480 = 8880", "8880 − 7 = 8873", "8873 − 5 = 8868", "4 + 8868 = 8872", "1 + 8872 = 8873"], "key": "four-digit-8873-8♦4♣5♦K♥10♣Q♦A♠7♠6♥"} {"id": "train-four-digit-0220", "level": "four-digit", "target": 8235, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 2 + 8 * (4 * 13 * (8 + 12) - 10) - 9", "solution_steps": ["8 + 12 = 20", "13 × 20 = 260", "4 × 260 = 1040", "1040 − 10 = 1030", "8 × 1030 = 8240", "8240 − 9 = 8231", "2 + 8231 = 8233", "2 + 8233 = 8235"], "key": "four-digit-8235-2♠10♦K♣8♠9♦2♣4♦8♥Q♠"} {"id": "train-four-digit-0221", "level": "four-digit", "target": 2536, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 1 + 2 + 11 + 10 * 11 * (10 + 13) - 9", "solution_steps": ["10 + 13 = 23", "11 × 23 = 253", "10 × 253 = 2530", "11 + 2530 = 2541", "2541 − 9 = 2532", "2 + 2532 = 2534", "1 + 2534 = 2535", "1 + 2535 = 2536"], "key": "four-digit-2536-10♠K♠10♦J♣9♠A♦A♥J♦2♦"} {"id": "train-four-digit-0222", "level": "four-digit", "target": 8544, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 4 + 6 + 7 * (6 * 12 * (8 + 9) - 5)", "solution_steps": ["8 + 9 = 17", "12 × 17 = 204", "6 × 204 = 1224", "1224 − 5 = 1219", "7 × 1219 = 8533", "6 + 8533 = 8539", "4 + 8539 = 8543", "1 + 8543 = 8544"], "key": "four-digit-8544-6♦8♠5♠6♥A♣Q♦4♠7♠9♠"} {"id": "train-four-digit-0223", "level": "four-digit", "target": 1985, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 2 + 3 + 10 * 12 + 11 * (13 + 12 * 13)", "solution_steps": ["10 × 12 = 120", "12 × 13 = 156", "13 + 156 = 169", "11 × 169 = 1859", "120 + 1859 = 1979", "3 + 1979 = 1982", "2 + 1982 = 1984", "1 + 1984 = 1985"], "key": "four-digit-1985-Q♠2♥J♠K♠10♣A♥K♥3♥Q♦"} {"id": "train-four-digit-0224", "level": "four-digit", "target": 6187, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 + 4 + 5 * (6 + 8 * 12 * 13 - 9 - 9)", "solution_steps": ["12 × 13 = 156", "8 × 156 = 1248", "1248 − 9 = 1239", "1239 − 9 = 1230", "6 + 1230 = 1236", "5 × 1236 = 6180", "4 + 6180 = 6184", "3 + 6184 = 6187"], "key": "four-digit-6187-8♣3♥6♦Q♥9♣4♣9♠K♠5♣"} {"id": "train-four-digit-0225", "level": "four-digit", "target": 4864, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 5 + 6 + 9 * 11 * (10 + 13 * (12 - 9))", "solution_steps": ["12 − 9 = 3", "13 × 3 = 39", "10 + 39 = 49", "11 × 49 = 539", "9 × 539 = 4851", "6 + 4851 = 4857", "5 + 4857 = 4862", "2 + 4862 = 4864"], "key": "four-digit-4864-9♣Q♠10♦K♥J♠6♠9♠5♥2♥"} {"id": "train-four-digit-0226", "level": "four-digit", "target": 2487, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + (9 + 11) * (11 * 12 - 7) - 11 - 5", "solution_steps": ["9 + 11 = 20", "11 × 12 = 132", "132 − 7 = 125", "20 × 125 = 2500", "2500 − 11 = 2489", "2489 − 5 = 2484", "2 + 2484 = 2486", "1 + 2486 = 2487"], "key": "four-digit-2487-J♠5♠J♣2♣7♦9♦J♥A♣Q♠"} {"id": "train-four-digit-0227", "level": "four-digit", "target": 6221, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 6 + 6 * (12 + 11 * (13 + 8 * 10))", "solution_steps": ["8 × 10 = 80", "13 + 80 = 93", "11 × 93 = 1023", "12 + 1023 = 1035", "6 × 1035 = 6210", "6 + 6210 = 6216", "3 + 6216 = 6219", "2 + 6219 = 6221"], "key": "four-digit-6221-Q♥8♣2♥K♠J♣6♥10♣6♣3♠"} {"id": "train-four-digit-0228", "level": "four-digit", "target": 6795, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 3 + 4 + 6 * 13 * (5 + 7 * 13 - 9)", "solution_steps": ["7 × 13 = 91", "91 − 9 = 82", "5 + 82 = 87", "13 × 87 = 1131", "6 × 1131 = 6786", "4 + 6786 = 6790", "3 + 6790 = 6793", "2 + 6793 = 6795"], "key": "four-digit-6795-6♣5♣4♦7♦2♥K♦K♣9♣3♥"} {"id": "train-four-digit-0229", "level": "four-digit", "target": 9619, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 1 + 12 * (9 * 10 * (4 + 5) - 8) - 7", "solution_steps": ["4 + 5 = 9", "10 × 9 = 90", "9 × 90 = 810", "810 − 8 = 802", "12 × 802 = 9624", "9624 − 7 = 9617", "1 + 9617 = 9618", "1 + 9618 = 9619"], "key": "four-digit-9619-7♦9♣4♦A♦10♣8♦Q♠A♥5♣"} {"id": "train-four-digit-0230", "level": "four-digit", "target": 1179, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 3 + 4 + 12 * (8 * 13 - 5) - 10 - 7", "solution_steps": ["8 × 13 = 104", "104 − 5 = 99", "12 × 99 = 1188", "1188 − 10 = 1178", "1178 − 7 = 1171", "4 + 1171 = 1175", "3 + 1175 = 1178", "1 + 1178 = 1179"], "key": "four-digit-1179-A♥10♥K♥5♠3♦7♥Q♦8♠4♣"} {"id": "train-four-digit-0231", "level": "four-digit", "target": 8879, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "4 + 4 + 11 + 10 * (13 * (6 * 13 - 9) - 11)", "solution_steps": ["6 × 13 = 78", "78 − 9 = 69", "13 × 69 = 897", "897 − 11 = 886", "10 × 886 = 8860", "11 + 8860 = 8871", "4 + 8871 = 8875", "4 + 8875 = 8879"], "key": "four-digit-8879-4♥K♥10♥J♥9♦J♣6♠K♣4♠"} {"id": "train-four-digit-0232", "level": "four-digit", "target": 5086, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 3 + 6 + 6 * (10 + 11 * (12 + 8 * 8))", "solution_steps": ["8 × 8 = 64", "12 + 64 = 76", "11 × 76 = 836", "10 + 836 = 846", "6 × 846 = 5076", "6 + 5076 = 5082", "3 + 5082 = 5085", "1 + 5085 = 5086"], "key": "four-digit-5086-6♠J♥Q♦3♥10♥A♥6♥8♣8♥"} {"id": "train-four-digit-0233", "level": "four-digit", "target": 4609, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 3 + 3 + 13 * (11 * 11 * (10 - 7) - 9)", "solution_steps": ["10 − 7 = 3", "11 × 3 = 33", "11 × 33 = 363", "363 − 9 = 354", "13 × 354 = 4602", "3 + 4602 = 4605", "3 + 4605 = 4608", "1 + 4608 = 4609"], "key": "four-digit-4609-10♦9♠3♥3♣7♥J♣A♦K♣J♦"} {"id": "train-four-digit-0234", "level": "four-digit", "target": 9355, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "5 + 6 + 7 * 8 * (13 + 11 * (6 + 8)) - 8", "solution_steps": ["6 + 8 = 14", "11 × 14 = 154", "13 + 154 = 167", "8 × 167 = 1336", "7 × 1336 = 9352", "9352 − 8 = 9344", "6 + 9344 = 9350", "5 + 9350 = 9355"], "key": "four-digit-9355-8♠K♣8♣8♦6♦6♠5♠7♣J♠"} {"id": "train-four-digit-0235", "level": "four-digit", "target": 7855, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 1 * 3 * 11 * (2 * 10 * (4 + 8) - 2)", "solution_steps": ["4 + 8 = 12", "10 × 12 = 120", "2 × 120 = 240", "240 − 2 = 238", "11 × 238 = 2618", "3 × 2618 = 7854", "1 × 7854 = 7854", "1 + 7854 = 7855"], "key": "four-digit-7855-A♣10♦2♣8♥A♦4♣3♠2♥J♦"} {"id": "train-four-digit-0236", "level": "four-digit", "target": 1853, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "5 + 6 + 8 + (13 + 13) * (9 * 9 - 10) - 12", "solution_steps": ["13 + 13 = 26", "9 × 9 = 81", "81 − 10 = 71", "26 × 71 = 1846", "1846 − 12 = 1834", "8 + 1834 = 1842", "6 + 1842 = 1848", "5 + 1848 = 1853"], "key": "four-digit-1853-9♦9♥K♣5♥8♦6♣10♥Q♠K♥"} {"id": "train-four-digit-0237", "level": "four-digit", "target": 8524, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 4 + 7 + 4 * 8 * (5 * 5 * 11 - 9)", "solution_steps": ["5 × 11 = 55", "5 × 55 = 275", "275 − 9 = 266", "8 × 266 = 2128", "4 × 2128 = 8512", "7 + 8512 = 8519", "4 + 8519 = 8523", "1 + 8523 = 8524"], "key": "four-digit-8524-8♥9♠5♥A♣4♣7♥J♣4♦5♣"} {"id": "train-four-digit-0238", "level": "four-digit", "target": 5850, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 4 * (1 + 3 * 11) * (5 * 10 - 7)", "solution_steps": ["3 × 11 = 33", "1 + 33 = 34", "5 × 10 = 50", "50 − 7 = 43", "34 × 43 = 1462", "4 × 1462 = 5848", "1 + 5848 = 5849", "1 + 5849 = 5850"], "key": "four-digit-5850-3♣7♥A♥J♣4♠10♣A♣5♥A♠"} {"id": "train-four-digit-0239", "level": "four-digit", "target": 7436, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 2 * 6 * (4 + 11 * (8 + 6 * 8)) - 5", "solution_steps": ["6 × 8 = 48", "8 + 48 = 56", "11 × 56 = 616", "4 + 616 = 620", "6 × 620 = 3720", "2 × 3720 = 7440", "7440 − 5 = 7435", "1 + 7435 = 7436"], "key": "four-digit-7436-4♦J♣8♠6♥6♠8♣5♦2♠A♦"} {"id": "train-four-digit-0240", "level": "four-digit", "target": 7713, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 3 + 5 + 7 + 13 * (6 * 10 * 10 - 8)", "solution_steps": ["10 × 10 = 100", "6 × 100 = 600", "600 − 8 = 592", "13 × 592 = 7696", "7 + 7696 = 7703", "5 + 7703 = 7708", "3 + 7708 = 7711", "2 + 7711 = 7713"], "key": "four-digit-7713-2♠10♥10♣6♥3♥8♠5♣7♥K♦"} {"id": "train-four-digit-0241", "level": "four-digit", "target": 4694, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + 11 * ((9 + 10) * (11 + 12) - 10) - 6", "solution_steps": ["9 + 10 = 19", "11 + 12 = 23", "19 × 23 = 437", "437 − 10 = 427", "11 × 427 = 4697", "4697 − 6 = 4691", "2 + 4691 = 4693", "1 + 4693 = 4694"], "key": "four-digit-4694-A♦J♣9♠2♥J♠10♥10♠6♦Q♠"} {"id": "train-four-digit-0242", "level": "four-digit", "target": 1329, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 1 + 2 + 8 * (4 * 9 + 10 * 13) - 3", "solution_steps": ["4 × 9 = 36", "10 × 13 = 130", "36 + 130 = 166", "8 × 166 = 1328", "1328 − 3 = 1325", "2 + 1325 = 1327", "1 + 1327 = 1328", "1 + 1328 = 1329"], "key": "four-digit-1329-10♦8♦A♣2♦4♠A♥3♠K♥9♦"} {"id": "train-four-digit-0243", "level": "four-digit", "target": 7300, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 2 + 3 * (10 * (4 * 7 * 9 - 8) - 8)", "solution_steps": ["7 × 9 = 63", "4 × 63 = 252", "252 − 8 = 244", "10 × 244 = 2440", "2440 − 8 = 2432", "3 × 2432 = 7296", "2 + 7296 = 7298", "2 + 7298 = 7300"], "key": "four-digit-7300-2♦9♦8♥2♥10♥4♥8♠3♣7♦"} {"id": "train-four-digit-0244", "level": "four-digit", "target": 1328, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 5 + 7 + 10 * 11 * 12 * (13 - 12) - 7", "solution_steps": ["13 − 12 = 1", "12 × 1 = 12", "11 × 12 = 132", "10 × 132 = 1320", "1320 − 7 = 1313", "7 + 1313 = 1320", "5 + 1320 = 1325", "3 + 1325 = 1328"], "key": "four-digit-1328-7♠Q♥7♣5♣10♦K♠J♠Q♣3♦"} {"id": "train-four-digit-0245", "level": "four-digit", "target": 8954, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 7 + 10 / 10 + 8 * 13 * (9 * 11 - 13)", "solution_steps": ["10 ÷ 10 = 1", "9 × 11 = 99", "99 − 13 = 86", "13 × 86 = 1118", "8 × 1118 = 8944", "1 + 8944 = 8945", "7 + 8945 = 8952", "2 + 8952 = 8954"], "key": "four-digit-8954-8♠K♠7♠2♦K♦10♣J♠9♦10♥"} {"id": "train-four-digit-0246", "level": "four-digit", "target": 9818, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 4 + 7 * (10 + 9 * 12 * 13 - 11) - 8", "solution_steps": ["12 × 13 = 156", "9 × 156 = 1404", "1404 − 11 = 1393", "10 + 1393 = 1403", "7 × 1403 = 9821", "9821 − 8 = 9813", "4 + 9813 = 9817", "1 + 9817 = 9818"], "key": "four-digit-9818-J♥4♣Q♠10♠A♦K♣9♦8♦7♣"} {"id": "train-four-digit-0247", "level": "four-digit", "target": 1499, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "2 + 3 + 3 + 7 * (6 * 11 * 13 - 6) / 4", "solution_steps": ["11 × 13 = 143", "6 × 143 = 858", "858 − 6 = 852", "7 × 852 = 5964", "5964 ÷ 4 = 1491", "3 + 1491 = 1494", "3 + 1494 = 1497", "2 + 1497 = 1499"], "key": "four-digit-1499-3♠2♥K♥6♠4♣6♦3♣7♣J♦"} {"id": "train-four-digit-0248", "level": "four-digit", "target": 1494, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 2 + 3 + 4 * 6 * (8 * 11 - 13 - 13)", "solution_steps": ["8 × 11 = 88", "88 − 13 = 75", "75 − 13 = 62", "6 × 62 = 372", "4 × 372 = 1488", "3 + 1488 = 1491", "2 + 1491 = 1493", "1 + 1493 = 1494"], "key": "four-digit-1494-8♣4♥J♠K♣3♥2♠A♥K♠6♣"} {"id": "train-four-digit-0249", "level": "four-digit", "target": 9598, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 3 + 8 + 5 * 9 * (9 + 12 * (4 + 13))", "solution_steps": ["4 + 13 = 17", "12 × 17 = 204", "9 + 204 = 213", "9 × 213 = 1917", "5 × 1917 = 9585", "8 + 9585 = 9593", "3 + 9593 = 9596", "2 + 9596 = 9598"], "key": "four-digit-9598-Q♥5♣9♥3♦8♥4♦9♣K♠2♦"} {"id": "train-four-digit-0250", "level": "four-digit", "target": 2775, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 5 + 7 + 11 + (10 + 11) * (12 * 12 - 13)", "solution_steps": ["10 + 11 = 21", "12 × 12 = 144", "144 − 13 = 131", "21 × 131 = 2751", "11 + 2751 = 2762", "7 + 2762 = 2769", "5 + 2769 = 2774", "1 + 2774 = 2775"], "key": "four-digit-2775-5♥7♣J♠10♠Q♦A♦K♣J♣Q♠"} {"id": "train-four-digit-0251", "level": "four-digit", "target": 5599, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 + 12 * (8 * (5 * 13 - 5) - 13) - 8", "solution_steps": ["5 × 13 = 65", "65 − 5 = 60", "8 × 60 = 480", "480 − 13 = 467", "12 × 467 = 5604", "5604 − 8 = 5596", "2 + 5596 = 5598", "1 + 5598 = 5599"], "key": "four-digit-5599-K♣Q♦A♠8♣2♥5♥8♠5♣K♠"} {"id": "train-four-digit-0252", "level": "four-digit", "target": 4489, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 6 + 6 * (7 * (12 + 8 * 13 - 8) - 9)", "solution_steps": ["8 × 13 = 104", "12 + 104 = 116", "116 − 8 = 108", "7 × 108 = 756", "756 − 9 = 747", "6 × 747 = 4482", "6 + 4482 = 4488", "1 + 4488 = 4489"], "key": "four-digit-4489-6♦K♣8♦6♥8♣9♦A♠Q♦7♥"} {"id": "train-four-digit-0253", "level": "four-digit", "target": 3918, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 4 + 3 * 8 * (5 + 4 * 5 * 8 - 2)", "solution_steps": ["5 × 8 = 40", "4 × 40 = 160", "5 + 160 = 165", "165 − 2 = 163", "8 × 163 = 1304", "3 × 1304 = 3912", "4 + 3912 = 3916", "2 + 3916 = 3918"], "key": "four-digit-3918-3♦8♠8♣5♥5♣2♣4♦4♣2♦"} {"id": "train-four-digit-0254", "level": "four-digit", "target": 6791, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 3 + (4 + 7) * (9 * (6 * 12 - 3) - 4)", "solution_steps": ["4 + 7 = 11", "6 × 12 = 72", "72 − 3 = 69", "9 × 69 = 621", "621 − 4 = 617", "11 × 617 = 6787", "3 + 6787 = 6790", "1 + 6790 = 6791"], "key": "four-digit-6791-Q♣9♠6♦3♥4♣A♣4♦3♦7♠"} {"id": "train-four-digit-0255", "level": "four-digit", "target": 6666, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 2 + 5 * (3 + 10 * (12 * 12 - 11)) - 2", "solution_steps": ["12 × 12 = 144", "144 − 11 = 133", "10 × 133 = 1330", "3 + 1330 = 1333", "5 × 1333 = 6665", "6665 − 2 = 6663", "2 + 6663 = 6665", "1 + 6665 = 6666"], "key": "four-digit-6666-2♠Q♣2♣5♠J♣10♦Q♥3♦A♦"} {"id": "train-four-digit-0256", "level": "four-digit", "target": 1754, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 1 + 2 + 7 * (6 * 6 * 7 - 12 / 6)", "solution_steps": ["6 × 7 = 42", "6 × 42 = 252", "12 ÷ 6 = 2", "252 − 2 = 250", "7 × 250 = 1750", "2 + 1750 = 1752", "1 + 1752 = 1753", "1 + 1753 = 1754"], "key": "four-digit-1754-6♦6♥7♦A♠6♣7♣A♥2♦Q♠"} {"id": "train-four-digit-0257", "level": "four-digit", "target": 9938, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 4 + 4 * 13 * (10 * (5 * 5 - 5) - 9)", "solution_steps": ["5 × 5 = 25", "25 − 5 = 20", "10 × 20 = 200", "200 − 9 = 191", "13 × 191 = 2483", "4 × 2483 = 9932", "4 + 9932 = 9936", "2 + 9936 = 9938"], "key": "four-digit-9938-5♠5♥4♠5♣4♣9♣2♣10♣K♣"} {"id": "train-four-digit-0258", "level": "four-digit", "target": 4545, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 3 + 5 + 6 * 12 * (9 + 9 * (13 - 7))", "solution_steps": ["13 − 7 = 6", "9 × 6 = 54", "9 + 54 = 63", "12 × 63 = 756", "6 × 756 = 4536", "5 + 4536 = 4541", "3 + 4541 = 4544", "1 + 4544 = 4545"], "key": "four-digit-4545-K♦Q♥5♣7♥A♠6♦9♠3♠9♦"} {"id": "train-four-digit-0259", "level": "four-digit", "target": 8079, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "4 + 4 + 9 * (8 * (9 + 8 * 13) - 6) - 11", "solution_steps": ["8 × 13 = 104", "9 + 104 = 113", "8 × 113 = 904", "904 − 6 = 898", "9 × 898 = 8082", "8082 − 11 = 8071", "4 + 8071 = 8075", "4 + 8075 = 8079"], "key": "four-digit-8079-9♣8♥K♥6♣8♠4♦4♥9♦J♦"} {"id": "train-four-digit-0260", "level": "four-digit", "target": 5055, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 4 + 5 * (7 + 13 * (9 * 10 - 12) - 11)", "solution_steps": ["9 × 10 = 90", "90 − 12 = 78", "13 × 78 = 1014", "1014 − 11 = 1003", "7 + 1003 = 1010", "5 × 1010 = 5050", "4 + 5050 = 5054", "1 + 5054 = 5055"], "key": "four-digit-5055-J♦Q♠A♠K♥7♦5♣4♦10♦9♥"} {"id": "train-four-digit-0261", "level": "four-digit", "target": 6669, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "4 + 6 + 9 + 7 * 10 * (8 * 12 - 13 / 13)", "solution_steps": ["8 × 12 = 96", "13 ÷ 13 = 1", "96 − 1 = 95", "10 × 95 = 950", "7 × 950 = 6650", "9 + 6650 = 6659", "6 + 6659 = 6665", "4 + 6665 = 6669"], "key": "four-digit-6669-K♥6♠7♣Q♠8♣10♥K♣4♦9♠"} {"id": "train-four-digit-0262", "level": "four-digit", "target": 7564, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "5 + 6 * (8 - 2) * (2 + 4 * 4 * 13) - 1", "solution_steps": ["8 − 2 = 6", "4 × 13 = 52", "4 × 52 = 208", "2 + 208 = 210", "6 × 210 = 1260", "6 × 1260 = 7560", "5 + 7560 = 7565", "7565 − 1 = 7564"], "key": "four-digit-7564-2♥A♦4♣5♠4♥K♦2♦6♣8♣"} {"id": "train-four-digit-0263", "level": "four-digit", "target": 4990, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 2 + 12 * (2 + 11) * (11 + 3 * 7) - 5", "solution_steps": ["2 + 11 = 13", "3 × 7 = 21", "11 + 21 = 32", "13 × 32 = 416", "12 × 416 = 4992", "4992 − 5 = 4987", "2 + 4987 = 4989", "1 + 4989 = 4990"], "key": "four-digit-4990-J♠A♥2♦2♣5♥Q♦J♣3♥7♠"} {"id": "train-four-digit-0264", "level": "four-digit", "target": 9904, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 3 + 4 * 9 * (11 + 6 * (7 * 8 - 12))", "solution_steps": ["7 × 8 = 56", "56 − 12 = 44", "6 × 44 = 264", "11 + 264 = 275", "9 × 275 = 2475", "4 × 2475 = 9900", "3 + 9900 = 9903", "1 + 9903 = 9904"], "key": "four-digit-9904-4♣J♥A♠Q♣6♦9♣8♣3♦7♠"} {"id": "train-four-digit-0265", "level": "four-digit", "target": 1359, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 2 + 3 + 8 + (4 + 10) * (10 * 10 - 4)", "solution_steps": ["4 + 10 = 14", "10 × 10 = 100", "100 − 4 = 96", "14 × 96 = 1344", "8 + 1344 = 1352", "3 + 1352 = 1355", "2 + 1355 = 1357", "2 + 1357 = 1359"], "key": "four-digit-1359-2♦10♣10♥4♥2♣4♦3♦10♦8♥"} {"id": "train-four-digit-0266", "level": "four-digit", "target": 3728, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "3 + 4 + 8 * (5 * 5 * (9 + 10) - 9) - 7", "solution_steps": ["9 + 10 = 19", "5 × 19 = 95", "5 × 95 = 475", "475 − 9 = 466", "8 × 466 = 3728", "3728 − 7 = 3721", "4 + 3721 = 3725", "3 + 3725 = 3728"], "key": "four-digit-3728-5♦9♦10♠3♠9♣8♥4♥7♥5♥"} {"id": "train-four-digit-0267", "level": "four-digit", "target": 6849, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 2 + 13 * (7 * 11 * (12 - 5) - 12) - 5", "solution_steps": ["12 − 5 = 7", "11 × 7 = 77", "7 × 77 = 539", "539 − 12 = 527", "13 × 527 = 6851", "6851 − 5 = 6846", "2 + 6846 = 6848", "1 + 6848 = 6849"], "key": "four-digit-6849-A♥5♥K♠J♥Q♣5♣7♠2♥Q♥"} {"id": "train-four-digit-0268", "level": "four-digit", "target": 7044, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 5 + 12 * (6 + 7 * (7 * 13 - 8)) - 8", "solution_steps": ["7 × 13 = 91", "91 − 8 = 83", "7 × 83 = 581", "6 + 581 = 587", "12 × 587 = 7044", "7044 − 8 = 7036", "5 + 7036 = 7041", "3 + 7041 = 7044"], "key": "four-digit-7044-5♠Q♦6♥8♥8♣K♥3♣7♥7♦"} {"id": "train-four-digit-0269", "level": "four-digit", "target": 5648, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 6 + 5 * ((7 + 12) * (7 * 10 - 10) - 12)", "solution_steps": ["7 + 12 = 19", "7 × 10 = 70", "70 − 10 = 60", "19 × 60 = 1140", "1140 − 12 = 1128", "5 × 1128 = 5640", "6 + 5640 = 5646", "2 + 5646 = 5648"], "key": "four-digit-5648-7♣7♠Q♥10♣2♥10♠6♣5♣Q♠"} {"id": "train-four-digit-0270", "level": "four-digit", "target": 4819, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 4 + 11 * (7 + 6 * 8 * 9) - 11 - 5", "solution_steps": ["8 × 9 = 72", "6 × 72 = 432", "7 + 432 = 439", "11 × 439 = 4829", "4829 − 11 = 4818", "4818 − 5 = 4813", "4 + 4813 = 4817", "2 + 4817 = 4819"], "key": "four-digit-4819-4♣J♦J♣2♣7♠5♠9♥8♥6♥"} {"id": "train-four-digit-0271", "level": "four-digit", "target": 1278, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 3 + 3 + 11 + 9 * (8 * (5 + 13) - 4)", "solution_steps": ["5 + 13 = 18", "8 × 18 = 144", "144 − 4 = 140", "9 × 140 = 1260", "11 + 1260 = 1271", "3 + 1271 = 1274", "3 + 1274 = 1277", "1 + 1277 = 1278"], "key": "four-digit-1278-9♦3♦J♥8♦3♠4♥5♦A♥K♦"} {"id": "train-four-digit-0272", "level": "four-digit", "target": 2843, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 4 + 6 + (8 + 11) * (10 * (6 + 10) - 11)", "solution_steps": ["8 + 11 = 19", "6 + 10 = 16", "10 × 16 = 160", "160 − 11 = 149", "19 × 149 = 2831", "6 + 2831 = 2837", "4 + 2837 = 2841", "2 + 2841 = 2843"], "key": "four-digit-2843-8♦2♥6♠J♣4♣6♣10♦J♠10♥"} {"id": "train-four-digit-0273", "level": "four-digit", "target": 5484, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 4 + 7 + 12 * (8 + 11) * (5 + 8 + 11)", "solution_steps": ["8 + 11 = 19", "8 + 11 = 19", "5 + 19 = 24", "19 × 24 = 456", "12 × 456 = 5472", "7 + 5472 = 5479", "4 + 5479 = 5483", "1 + 5483 = 5484"], "key": "four-digit-5484-5♠Q♠8♦7♦4♦A♥8♥J♦J♣"} {"id": "train-four-digit-0274", "level": "four-digit", "target": 6735, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 3 + 5 * (6 + 8 + 12 * (12 + 9 * 11))", "solution_steps": ["9 × 11 = 99", "12 + 99 = 111", "12 × 111 = 1332", "8 + 1332 = 1340", "6 + 1340 = 1346", "5 × 1346 = 6730", "3 + 6730 = 6733", "2 + 6733 = 6735"], "key": "four-digit-6735-J♥9♠Q♣3♣Q♠2♥6♣5♦8♥"} {"id": "train-four-digit-0275", "level": "four-digit", "target": 4614, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "2 + 4 + 7 * (8 * (12 + 6 * 12) - 13) - 5", "solution_steps": ["6 × 12 = 72", "12 + 72 = 84", "8 × 84 = 672", "672 − 13 = 659", "7 × 659 = 4613", "4613 − 5 = 4608", "4 + 4608 = 4612", "2 + 4612 = 4614"], "key": "four-digit-4614-Q♣7♣2♥Q♥6♥K♣4♥8♥5♣"} {"id": "train-four-digit-0276", "level": "four-digit", "target": 4623, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 2 + 3 * 10 * 12 * (13 + 8 * 8) / 6", "solution_steps": ["8 × 8 = 64", "13 + 64 = 77", "12 × 77 = 924", "10 × 924 = 9240", "9240 ÷ 6 = 1540", "3 × 1540 = 4620", "2 + 4620 = 4622", "1 + 4622 = 4623"], "key": "four-digit-4623-8♦3♦8♣2♦A♣6♠10♦K♥Q♣"} {"id": "train-four-digit-0277", "level": "four-digit", "target": 6943, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "4 + 4 + 5 + 7 * 9 * 10 * (10 + 12 / 12)", "solution_steps": ["12 ÷ 12 = 1", "10 + 1 = 11", "10 × 11 = 110", "9 × 110 = 990", "7 × 990 = 6930", "5 + 6930 = 6935", "4 + 6935 = 6939", "4 + 6939 = 6943"], "key": "four-digit-6943-4♠9♠7♥10♠4♣Q♠10♥5♠Q♥"} {"id": "train-four-digit-0278", "level": "four-digit", "target": 9985, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 3 + 9 + 4 * 9 * (4 + 13 * (8 + 13))", "solution_steps": ["8 + 13 = 21", "13 × 21 = 273", "4 + 273 = 277", "9 × 277 = 2493", "4 × 2493 = 9972", "9 + 9972 = 9981", "3 + 9981 = 9984", "1 + 9984 = 9985"], "key": "four-digit-9985-4♠3♣K♦9♥4♥9♠A♣8♦K♣"} {"id": "train-four-digit-0279", "level": "four-digit", "target": 3374, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 3 + 5 + (11 - 9) * (10 * 13 * 13 - 8)", "solution_steps": ["11 − 9 = 2", "13 × 13 = 169", "10 × 169 = 1690", "1690 − 8 = 1682", "2 × 1682 = 3364", "5 + 3364 = 3369", "3 + 3369 = 3372", "2 + 3372 = 3374"], "key": "four-digit-3374-K♠K♣10♠9♣5♠3♥8♠J♠2♣"} {"id": "train-four-digit-0280", "level": "four-digit", "target": 3797, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 5 + 5 + 6 * 8 * (13 + 6 * 11) - 7", "solution_steps": ["6 × 11 = 66", "13 + 66 = 79", "8 × 79 = 632", "6 × 632 = 3792", "3792 − 7 = 3785", "5 + 3785 = 3790", "5 + 3790 = 3795", "2 + 3795 = 3797"], "key": "four-digit-3797-2♦6♣5♥6♥K♠J♣5♦7♦8♥"} {"id": "train-four-digit-0281", "level": "four-digit", "target": 7647, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 4 + 9 + 12 * (11 + (12 + 13) * (12 + 13))", "solution_steps": ["12 + 13 = 25", "12 + 13 = 25", "25 × 25 = 625", "11 + 625 = 636", "12 × 636 = 7632", "9 + 7632 = 7641", "4 + 7641 = 7645", "2 + 7645 = 7647"], "key": "four-digit-7647-Q♣4♥K♠9♠Q♥Q♦2♦K♥J♣"} {"id": "train-four-digit-0282", "level": "four-digit", "target": 8899, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 3 + 7 + 11 * (4 + 4) * (10 * 11 - 9)", "solution_steps": ["4 + 4 = 8", "10 × 11 = 110", "110 − 9 = 101", "8 × 101 = 808", "11 × 808 = 8888", "7 + 8888 = 8895", "3 + 8895 = 8898", "1 + 8898 = 8899"], "key": "four-digit-8899-10♥4♦J♣A♣3♦J♠4♥7♥9♣"} {"id": "train-four-digit-0283", "level": "four-digit", "target": 7768, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "7 + 7 + 11 * (11 * 13 * (13 - 8) - 9) - 12", "solution_steps": ["13 − 8 = 5", "13 × 5 = 65", "11 × 65 = 715", "715 − 9 = 706", "11 × 706 = 7766", "7766 − 12 = 7754", "7 + 7754 = 7761", "7 + 7761 = 7768"], "key": "four-digit-7768-9♥Q♣8♠7♥K♦J♣J♦K♥7♣"} {"id": "train-four-digit-0284", "level": "four-digit", "target": 7688, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 1 + 7 * (9 + 11 * 11 * (12 - 12 / 4))", "solution_steps": ["12 ÷ 4 = 3", "12 − 3 = 9", "11 × 9 = 99", "11 × 99 = 1089", "9 + 1089 = 1098", "7 × 1098 = 7686", "1 + 7686 = 7687", "1 + 7687 = 7688"], "key": "four-digit-7688-7♥A♠Q♠J♦9♥A♣Q♥4♣J♠"} {"id": "train-four-digit-0285", "level": "four-digit", "target": 2155, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 3 + 3 + 6 + (5 + 12) * (9 + 9 * 13)", "solution_steps": ["5 + 12 = 17", "9 × 13 = 117", "9 + 117 = 126", "17 × 126 = 2142", "6 + 2142 = 2148", "3 + 2148 = 2151", "3 + 2151 = 2154", "1 + 2154 = 2155"], "key": "four-digit-2155-9♠3♠9♦K♠Q♣5♦A♥3♥6♦"} {"id": "train-four-digit-0286", "level": "four-digit", "target": 7160, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "2 + 5 + 7 * 8 * (11 + 9 * 13) - 10 - 5", "solution_steps": ["9 × 13 = 117", "11 + 117 = 128", "8 × 128 = 1024", "7 × 1024 = 7168", "7168 − 10 = 7158", "7158 − 5 = 7153", "5 + 7153 = 7158", "2 + 7158 = 7160"], "key": "four-digit-7160-J♠5♣10♦9♠5♠8♦K♠2♦7♣"} {"id": "train-four-digit-0287", "level": "four-digit", "target": 4813, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "2 + 3 + (4 + 4) * (7 + 11 * (6 * 10 - 6))", "solution_steps": ["4 + 4 = 8", "6 × 10 = 60", "60 − 6 = 54", "11 × 54 = 594", "7 + 594 = 601", "8 × 601 = 4808", "3 + 4808 = 4811", "2 + 4811 = 4813"], "key": "four-digit-4813-J♠4♥3♣2♠4♦6♣10♥6♥7♥"} {"id": "train-four-digit-0288", "level": "four-digit", "target": 1915, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 2 + 6 + 13 * (8 + 12 * 12) - 7 * 10", "solution_steps": ["12 × 12 = 144", "8 + 144 = 152", "13 × 152 = 1976", "7 × 10 = 70", "1976 − 70 = 1906", "6 + 1906 = 1912", "2 + 1912 = 1914", "1 + 1914 = 1915"], "key": "four-digit-1915-K♣10♦2♠Q♦6♥7♣8♦A♣Q♣"} {"id": "train-four-digit-0289", "level": "four-digit", "target": 1349, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 5 + 6 + 6 * (13 * (9 + 9) - 9) - 13", "solution_steps": ["9 + 9 = 18", "13 × 18 = 234", "234 − 9 = 225", "6 × 225 = 1350", "1350 − 13 = 1337", "6 + 1337 = 1343", "5 + 1343 = 1348", "1 + 1348 = 1349"], "key": "four-digit-1349-9♣K♥A♠K♠5♦9♦6♣6♦9♥"} {"id": "train-four-digit-0290", "level": "four-digit", "target": 3372, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 3 + 5 + 8 * (6 * 6 * 12 - 11) - 5", "solution_steps": ["6 × 12 = 72", "6 × 72 = 432", "432 − 11 = 421", "8 × 421 = 3368", "3368 − 5 = 3363", "5 + 3363 = 3368", "3 + 3368 = 3371", "1 + 3371 = 3372"], "key": "four-digit-3372-8♦3♣5♠A♥6♥Q♠J♠6♠5♣"} {"id": "train-four-digit-0291", "level": "four-digit", "target": 4136, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "3 + 4 + 6 * 13 * (4 + 7 + 6 * 7) - 5", "solution_steps": ["6 × 7 = 42", "7 + 42 = 49", "4 + 49 = 53", "13 × 53 = 689", "6 × 689 = 4134", "4134 − 5 = 4129", "4 + 4129 = 4133", "3 + 4133 = 4136"], "key": "four-digit-4136-6♥4♣3♥5♠K♦6♣7♣7♥4♥"} {"id": "train-four-digit-0292", "level": "four-digit", "target": 5139, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "3 + 3 + 4 + 6 * (11 + 5 * 13 * 13) - 7", "solution_steps": ["13 × 13 = 169", "5 × 169 = 845", "11 + 845 = 856", "6 × 856 = 5136", "5136 − 7 = 5129", "4 + 5129 = 5133", "3 + 5133 = 5136", "3 + 5136 = 5139"], "key": "four-digit-5139-3♦K♥6♦7♥J♥K♦4♦3♠5♥"} {"id": "train-four-digit-0293", "level": "four-digit", "target": 1643, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 4 + 4 + 10 * (13 * (6 + 7) - 5) - 6", "solution_steps": ["6 + 7 = 13", "13 × 13 = 169", "169 − 5 = 164", "10 × 164 = 1640", "1640 − 6 = 1634", "4 + 1634 = 1638", "4 + 1638 = 1642", "1 + 1642 = 1643"], "key": "four-digit-1643-K♥4♠6♥A♣10♥5♦7♥4♥6♠"} {"id": "train-four-digit-0294", "level": "four-digit", "target": 6926, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 * (7 + 9 * (3 + 13) * (11 + 13)) - 1", "solution_steps": ["3 + 13 = 16", "11 + 13 = 24", "16 × 24 = 384", "9 × 384 = 3456", "7 + 3456 = 3463", "2 × 3463 = 6926", "6926 − 1 = 6925", "1 + 6925 = 6926"], "key": "four-digit-6926-K♥A♦3♣J♥7♥K♦9♠A♥2♥"} {"id": "train-four-digit-0295", "level": "four-digit", "target": 5177, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 5 + 2 * 11 * (4 + 11 * (9 + 12))", "solution_steps": ["9 + 12 = 21", "11 × 21 = 231", "4 + 231 = 235", "11 × 235 = 2585", "2 × 2585 = 5170", "5 + 5170 = 5175", "1 + 5175 = 5176", "1 + 5176 = 5177"], "key": "four-digit-5177-J♣A♥9♦2♦4♣5♥Q♥J♦A♣"} {"id": "train-four-digit-0296", "level": "four-digit", "target": 4203, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 2 + 13 * (9 + 12 * (8 + 6 * 12)) / 3", "solution_steps": ["6 × 12 = 72", "8 + 72 = 80", "12 × 80 = 960", "9 + 960 = 969", "13 × 969 = 12597", "12597 ÷ 3 = 4199", "2 + 4199 = 4201", "2 + 4201 = 4203"], "key": "four-digit-4203-K♠8♦Q♠9♦2♦6♥Q♣2♥3♣"} {"id": "train-four-digit-0297", "level": "four-digit", "target": 2775, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "2 + 2 + (4 + 13) * (3 / 3 + 9 * (6 + 12))", "solution_steps": ["4 + 13 = 17", "3 ÷ 3 = 1", "6 + 12 = 18", "9 × 18 = 162", "1 + 162 = 163", "17 × 163 = 2771", "2 + 2771 = 2773", "2 + 2773 = 2775"], "key": "four-digit-2775-9♠K♣2♥3♣2♠Q♦3♠6♣4♥"} {"id": "train-four-digit-0298", "level": "four-digit", "target": 1623, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 4 + 5 + 11 * (7 * 8 + 7 * 13) - 6", "solution_steps": ["7 × 8 = 56", "7 × 13 = 91", "56 + 91 = 147", "11 × 147 = 1617", "1617 − 6 = 1611", "5 + 1611 = 1616", "4 + 1616 = 1620", "3 + 1620 = 1623"], "key": "four-digit-1623-7♣8♦K♦7♠J♥4♥6♣5♥3♦"} {"id": "train-four-digit-0299", "level": "four-digit", "target": 5125, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 9 * (8 + 11 * (5 * 12 - 8) - 11)", "solution_steps": ["5 × 12 = 60", "60 − 8 = 52", "11 × 52 = 572", "572 − 11 = 561", "8 + 561 = 569", "9 × 569 = 5121", "3 + 5121 = 5124", "1 + 5124 = 5125"], "key": "four-digit-5125-8♠5♣J♦A♦Q♣8♦9♣J♥3♠"} {"id": "train-four-digit-0300", "level": "four-digit", "target": 5002, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 2 + 4 + 5 * (9 + 9 * 11 * (13 - 3))", "solution_steps": ["13 − 3 = 10", "11 × 10 = 110", "9 × 110 = 990", "9 + 990 = 999", "5 × 999 = 4995", "4 + 4995 = 4999", "2 + 4999 = 5001", "1 + 5001 = 5002"], "key": "four-digit-5002-2♣5♦3♠9♥K♦A♣J♣9♣4♣"} {"id": "train-four-digit-0301", "level": "four-digit", "target": 5610, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 3 + 5 + 4 * 10 * 10 * (13 + 12 / 12)", "solution_steps": ["12 ÷ 12 = 1", "13 + 1 = 14", "10 × 14 = 140", "10 × 140 = 1400", "4 × 1400 = 5600", "5 + 5600 = 5605", "3 + 5605 = 5608", "2 + 5608 = 5610"], "key": "four-digit-5610-3♥Q♦10♦5♠Q♥K♣4♦2♣10♣"} {"id": "train-four-digit-0302", "level": "four-digit", "target": 9595, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 1 * (6 + 6 * (10 * (4 + 12 * 13) - 2))", "solution_steps": ["12 × 13 = 156", "4 + 156 = 160", "10 × 160 = 1600", "1600 − 2 = 1598", "6 × 1598 = 9588", "6 + 9588 = 9594", "1 × 9594 = 9594", "1 + 9594 = 9595"], "key": "four-digit-9595-Q♣6♠4♥K♠A♥10♥6♥A♠2♦"} {"id": "train-four-digit-0303", "level": "four-digit", "target": 4433, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 4 + 5 + 6 * (9 + 7 * 8 * (5 + 8))", "solution_steps": ["5 + 8 = 13", "8 × 13 = 104", "7 × 104 = 728", "9 + 728 = 737", "6 × 737 = 4422", "5 + 4422 = 4427", "4 + 4427 = 4431", "2 + 4431 = 4433"], "key": "four-digit-4433-8♣6♣9♥4♣7♥5♠8♦5♦2♣"} {"id": "train-four-digit-0304", "level": "four-digit", "target": 7588, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 2 + 3 * 5 * 11 * (7 * 8 - 10) - 5", "solution_steps": ["7 × 8 = 56", "56 − 10 = 46", "11 × 46 = 506", "5 × 506 = 2530", "3 × 2530 = 7590", "7590 − 5 = 7585", "2 + 7585 = 7587", "1 + 7587 = 7588"], "key": "four-digit-7588-5♥7♥5♦A♠J♠3♦10♥2♣8♠"} {"id": "train-four-digit-0305", "level": "four-digit", "target": 3923, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 4 + (7 * 7 - 13) * (11 * 11 - 12) - 6", "solution_steps": ["7 × 7 = 49", "49 − 13 = 36", "11 × 11 = 121", "121 − 12 = 109", "36 × 109 = 3924", "3924 − 6 = 3918", "4 + 3918 = 3922", "1 + 3922 = 3923"], "key": "four-digit-3923-Q♣J♥7♠K♠J♣4♥7♥6♦A♠"} {"id": "train-four-digit-0306", "level": "four-digit", "target": 3495, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 5 * (8 * 8 * 11 - 3) - 10 - 2", "solution_steps": ["8 × 11 = 88", "8 × 88 = 704", "704 − 3 = 701", "5 × 701 = 3505", "3505 − 10 = 3495", "3495 − 2 = 3493", "1 + 3493 = 3494", "1 + 3494 = 3495"], "key": "four-digit-3495-10♠8♦A♥5♣8♥2♦J♣3♠A♣"} {"id": "train-four-digit-0307", "level": "four-digit", "target": 9642, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 3 + 6 + 8 * (4 + 5 * 10 * (12 + 12))", "solution_steps": ["12 + 12 = 24", "10 × 24 = 240", "5 × 240 = 1200", "4 + 1200 = 1204", "8 × 1204 = 9632", "6 + 9632 = 9638", "3 + 9638 = 9641", "1 + 9641 = 9642"], "key": "four-digit-9642-Q♦3♥A♣4♠8♦6♣Q♣10♥5♥"} {"id": "train-four-digit-0308", "level": "four-digit", "target": 3457, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 2 + 3 + 5 * 10 * (11 * 11 - 4 * 13)", "solution_steps": ["11 × 11 = 121", "4 × 13 = 52", "121 − 52 = 69", "10 × 69 = 690", "5 × 690 = 3450", "3 + 3450 = 3453", "2 + 3453 = 3455", "2 + 3455 = 3457"], "key": "four-digit-3457-K♠2♥J♦J♥5♥3♠10♣4♥2♠"} {"id": "train-four-digit-0309", "level": "four-digit", "target": 9684, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 3 + 4 * 4 * 11 * 11 * (8 - (13 - 10))", "solution_steps": ["13 − 10 = 3", "8 − 3 = 5", "11 × 5 = 55", "11 × 55 = 605", "4 × 605 = 2420", "4 × 2420 = 9680", "3 + 9680 = 9683", "1 + 9683 = 9684"], "key": "four-digit-9684-4♦J♣8♥10♥3♦A♦4♥J♦K♠"} {"id": "train-four-digit-0310", "level": "four-digit", "target": 5983, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "6 + 7 + 10 * ((9 + 10) * (8 + 12 + 12) - 11)", "solution_steps": ["9 + 10 = 19", "12 + 12 = 24", "8 + 24 = 32", "19 × 32 = 608", "608 − 11 = 597", "10 × 597 = 5970", "7 + 5970 = 5977", "6 + 5977 = 5983"], "key": "four-digit-5983-Q♣9♦8♥6♥7♥10♠Q♠J♠10♥"} {"id": "train-four-digit-0311", "level": "four-digit", "target": 1366, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 2 + 3 + 8 + 4 * 13 * (3 + 11 + 12)", "solution_steps": ["11 + 12 = 23", "3 + 23 = 26", "13 × 26 = 338", "4 × 338 = 1352", "8 + 1352 = 1360", "3 + 1360 = 1363", "2 + 1363 = 1365", "1 + 1365 = 1366"], "key": "four-digit-1366-4♦3♣J♠8♦2♥A♣Q♥3♥K♥"} {"id": "train-four-digit-0312", "level": "four-digit", "target": 8407, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 2 + 4 + 5 * 7 * 8 * (3 + 3 * 9)", "solution_steps": ["3 × 9 = 27", "3 + 27 = 30", "8 × 30 = 240", "7 × 240 = 1680", "5 × 1680 = 8400", "4 + 8400 = 8404", "2 + 8404 = 8406", "1 + 8406 = 8407"], "key": "four-digit-8407-8♠A♥7♠2♣3♦3♣5♣4♠9♥"} {"id": "train-four-digit-0313", "level": "four-digit", "target": 5923, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 2 + 5 + 7 * (6 * 11 * 13 - 12) - 7", "solution_steps": ["11 × 13 = 143", "6 × 143 = 858", "858 − 12 = 846", "7 × 846 = 5922", "5922 − 7 = 5915", "5 + 5915 = 5920", "2 + 5920 = 5922", "1 + 5922 = 5923"], "key": "four-digit-5923-6♦Q♣7♥J♣5♥7♣2♥A♦K♥"} {"id": "train-four-digit-0314", "level": "four-digit", "target": 6659, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 2 + 8 + 12 * (7 * (9 + 8 * 9) - 13)", "solution_steps": ["8 × 9 = 72", "9 + 72 = 81", "7 × 81 = 567", "567 − 13 = 554", "12 × 554 = 6648", "8 + 6648 = 6656", "2 + 6656 = 6658", "1 + 6658 = 6659"], "key": "four-digit-6659-A♠Q♠2♥8♦8♥7♣9♣K♠9♥"} {"id": "train-four-digit-0315", "level": "four-digit", "target": 2348, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 2 + 5 + 3 * 5 * 6 * 13 * (13 - 11)", "solution_steps": ["13 − 11 = 2", "13 × 2 = 26", "6 × 26 = 156", "5 × 156 = 780", "3 × 780 = 2340", "5 + 2340 = 2345", "2 + 2345 = 2347", "1 + 2347 = 2348"], "key": "four-digit-2348-A♦5♦J♥5♣K♦6♠2♠3♣K♣"} {"id": "train-four-digit-0316", "level": "four-digit", "target": 8988, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 3 + 6 + 9 * (7 * 12 * 12 - 10) - 4", "solution_steps": ["12 × 12 = 144", "7 × 144 = 1008", "1008 − 10 = 998", "9 × 998 = 8982", "6 + 8982 = 8988", "8988 − 4 = 8984", "3 + 8984 = 8987", "1 + 8987 = 8988"], "key": "four-digit-8988-9♦3♥Q♥7♣10♦4♥A♣Q♠6♦"} {"id": "train-four-digit-0317", "level": "four-digit", "target": 6307, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "3 + 3 + 5 + 7 * 10 * (6 + 7 * 12) - 4", "solution_steps": ["7 × 12 = 84", "6 + 84 = 90", "10 × 90 = 900", "7 × 900 = 6300", "5 + 6300 = 6305", "6305 − 4 = 6301", "3 + 6301 = 6304", "3 + 6304 = 6307"], "key": "four-digit-6307-6♣3♣7♦5♠4♠Q♠7♣3♠10♦"} {"id": "train-four-digit-0318", "level": "four-digit", "target": 1374, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + 3 + 4 + 9 + 8 * 9 * (6 + 13) - 12", "solution_steps": ["6 + 13 = 19", "9 × 19 = 171", "8 × 171 = 1368", "1368 − 12 = 1356", "9 + 1356 = 1365", "4 + 1365 = 1369", "3 + 1369 = 1372", "2 + 1372 = 1374"], "key": "four-digit-1374-4♠K♥2♠9♣8♣3♥Q♠6♦9♠"} {"id": "train-four-digit-0319", "level": "four-digit", "target": 4130, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 4 + 5 * (11 * (9 * 10 - 7 - 7) - 11)", "solution_steps": ["9 × 10 = 90", "90 − 7 = 83", "83 − 7 = 76", "11 × 76 = 836", "836 − 11 = 825", "5 × 825 = 4125", "4 + 4125 = 4129", "1 + 4129 = 4130"], "key": "four-digit-4130-J♣9♥A♥7♣4♠7♥J♠10♥5♣"} {"id": "train-four-digit-0320", "level": "four-digit", "target": 2144, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 2 + 13 + (6 + 10) * (12 * (6 + 6) - 11)", "solution_steps": ["6 + 10 = 16", "6 + 6 = 12", "12 × 12 = 144", "144 − 11 = 133", "16 × 133 = 2128", "13 + 2128 = 2141", "2 + 2141 = 2143", "1 + 2143 = 2144"], "key": "four-digit-2144-A♣6♦J♥Q♥6♣10♠K♠2♦6♥"} {"id": "train-four-digit-0321", "level": "four-digit", "target": 1585, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 2 + 6 + 8 * (9 + 10 * (9 + 11) - 12)", "solution_steps": ["9 + 11 = 20", "10 × 20 = 200", "200 − 12 = 188", "9 + 188 = 197", "8 × 197 = 1576", "6 + 1576 = 1582", "2 + 1582 = 1584", "1 + 1584 = 1585"], "key": "four-digit-1585-2♥8♦9♥J♣9♣Q♦A♣10♦6♦"} {"id": "train-four-digit-0322", "level": "four-digit", "target": 8283, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 5 + 6 * (11 + 8 * 9 * (9 + 10))", "solution_steps": ["9 + 10 = 19", "9 × 19 = 171", "8 × 171 = 1368", "11 + 1368 = 1379", "6 × 1379 = 8274", "5 + 8274 = 8279", "2 + 8279 = 8281", "2 + 8281 = 8283"], "key": "four-digit-8283-10♥9♦5♦J♥8♥6♦2♦9♠2♣"} {"id": "train-four-digit-0323", "level": "four-digit", "target": 8381, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "3 + (9 + 13) * (9 + 12 * (7 + 12 + 12)) - 4", "solution_steps": ["9 + 13 = 22", "12 + 12 = 24", "7 + 24 = 31", "12 × 31 = 372", "9 + 372 = 381", "22 × 381 = 8382", "8382 − 4 = 8378", "3 + 8378 = 8381"], "key": "four-digit-8381-9♣Q♠Q♥K♦3♠9♥Q♣7♦4♦"} {"id": "train-four-digit-0324", "level": "four-digit", "target": 6790, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "4 + 6 + 9 * (8 * 8 * 12 - 12) - 13 - 11", "solution_steps": ["8 × 12 = 96", "8 × 96 = 768", "768 − 12 = 756", "9 × 756 = 6804", "6804 − 13 = 6791", "6791 − 11 = 6780", "6 + 6780 = 6786", "4 + 6786 = 6790"], "key": "four-digit-6790-6♣8♣4♣K♦J♥8♦Q♠9♦Q♥"} {"id": "train-four-digit-0325", "level": "four-digit", "target": 6638, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 3 + (8 + 7 * 13) * (3 + 4 * 4 * 4)", "solution_steps": ["7 × 13 = 91", "8 + 91 = 99", "4 × 4 = 16", "4 × 16 = 64", "3 + 64 = 67", "99 × 67 = 6633", "3 + 6633 = 6636", "2 + 6636 = 6638"], "key": "four-digit-6638-7♠3♥4♣2♦4♥3♦K♣4♦8♠"} {"id": "train-four-digit-0326", "level": "four-digit", "target": 4747, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "2 + 2 + 7 + 4 * (4 + 9 * 11 * 12 - 8)", "solution_steps": ["11 × 12 = 132", "9 × 132 = 1188", "1188 − 8 = 1180", "4 + 1180 = 1184", "4 × 1184 = 4736", "7 + 4736 = 4743", "2 + 4743 = 4745", "2 + 4745 = 4747"], "key": "four-digit-4747-J♥2♣7♣8♣4♥4♣2♠9♦Q♥"} {"id": "train-four-digit-0327", "level": "four-digit", "target": 6337, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + 6 * 7 * (7 + 12 * 12) - 6 - 2", "solution_steps": ["12 × 12 = 144", "7 + 144 = 151", "7 × 151 = 1057", "6 × 1057 = 6342", "6342 − 6 = 6336", "6336 − 2 = 6334", "2 + 6334 = 6336", "1 + 6336 = 6337"], "key": "four-digit-6337-2♠Q♣2♦7♠A♠7♥6♣6♦Q♠"} {"id": "train-four-digit-0328", "level": "four-digit", "target": 8468, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 2 + 5 + 4 * 9 * (13 * (8 + 11) - 12)", "solution_steps": ["8 + 11 = 19", "13 × 19 = 247", "247 − 12 = 235", "9 × 235 = 2115", "4 × 2115 = 8460", "5 + 8460 = 8465", "2 + 8465 = 8467", "1 + 8467 = 8468"], "key": "four-digit-8468-4♦2♣5♦J♥A♦Q♠8♣9♦K♣"} {"id": "train-four-digit-0329", "level": "four-digit", "target": 3204, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 1 + 4 + (3 + 3 * 12) * (12 + 7 * 10)", "solution_steps": ["3 × 12 = 36", "3 + 36 = 39", "7 × 10 = 70", "12 + 70 = 82", "39 × 82 = 3198", "4 + 3198 = 3202", "1 + 3202 = 3203", "1 + 3203 = 3204"], "key": "four-digit-3204-7♥3♥A♣4♣Q♣3♦A♦Q♠10♣"} {"id": "train-four-digit-0330", "level": "four-digit", "target": 1026, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 1 + 2 + 7 * (6 + 7 * 10 * (5 - 3))", "solution_steps": ["5 − 3 = 2", "10 × 2 = 20", "7 × 20 = 140", "6 + 140 = 146", "7 × 146 = 1022", "2 + 1022 = 1024", "1 + 1024 = 1025", "1 + 1025 = 1026"], "key": "four-digit-1026-6♦2♣7♣10♦A♣5♦A♠3♠7♦"} {"id": "train-four-digit-0331", "level": "four-digit", "target": 7990, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 3 + 4 * 11 * 13 * (6 + 8) - 12 - 11", "solution_steps": ["6 + 8 = 14", "13 × 14 = 182", "11 × 182 = 2002", "4 × 2002 = 8008", "8008 − 12 = 7996", "7996 − 11 = 7985", "3 + 7985 = 7988", "2 + 7988 = 7990"], "key": "four-digit-7990-3♣J♠4♣K♥2♥6♦Q♠J♦8♦"} {"id": "train-four-digit-0332", "level": "four-digit", "target": 6317, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 1 + 10 + 13 + 11 * (4 * 12 * 12 - 4)", "solution_steps": ["12 × 12 = 144", "4 × 144 = 576", "576 − 4 = 572", "11 × 572 = 6292", "13 + 6292 = 6305", "10 + 6305 = 6315", "1 + 6315 = 6316", "1 + 6316 = 6317"], "key": "four-digit-6317-Q♦Q♠K♣4♠4♦A♠A♦J♣10♦"} {"id": "train-four-digit-0333", "level": "four-digit", "target": 1045, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "2 + 4 + 4 + 5 * (12 + 12 * (8 + 9) - 9)", "solution_steps": ["8 + 9 = 17", "12 × 17 = 204", "12 + 204 = 216", "216 − 9 = 207", "5 × 207 = 1035", "4 + 1035 = 1039", "4 + 1039 = 1043", "2 + 1043 = 1045"], "key": "four-digit-1045-8♦2♠5♥Q♣9♦9♥Q♥4♠4♥"} {"id": "train-four-digit-0334", "level": "four-digit", "target": 3463, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 + 3 + (5 + 8 * 9 * 12 * (8 + 12)) / 5", "solution_steps": ["8 + 12 = 20", "12 × 20 = 240", "9 × 240 = 2160", "8 × 2160 = 17280", "5 + 17280 = 17285", "17285 ÷ 5 = 3457", "3 + 3457 = 3460", "3 + 3460 = 3463"], "key": "four-digit-3463-9♦3♣8♦5♦5♣8♠Q♣3♦Q♦"} {"id": "train-four-digit-0335", "level": "four-digit", "target": 2515, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + 3 + 13 + 8 * 8 * 12 * 13 / 4", "solution_steps": ["12 × 13 = 156", "8 × 156 = 1248", "8 × 1248 = 9984", "9984 ÷ 4 = 2496", "13 + 2496 = 2509", "3 + 2509 = 2512", "2 + 2512 = 2514", "1 + 2514 = 2515"], "key": "four-digit-2515-K♠8♣2♣Q♦3♥A♥8♥K♦4♠"} {"id": "train-four-digit-0336", "level": "four-digit", "target": 2825, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "3 + 7 + 5 * (8 + 8 * (7 * 12 - 13) - 13)", "solution_steps": ["7 × 12 = 84", "84 − 13 = 71", "8 × 71 = 568", "568 − 13 = 555", "8 + 555 = 563", "5 × 563 = 2815", "7 + 2815 = 2822", "3 + 2822 = 2825"], "key": "four-digit-2825-K♦3♣7♥8♣8♠7♠Q♣5♥K♥"} {"id": "train-four-digit-0337", "level": "four-digit", "target": 3596, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 2 + 4 + 5 * 8 * 9 * (3 + 7) - 11", "solution_steps": ["3 + 7 = 10", "9 × 10 = 90", "8 × 90 = 720", "5 × 720 = 3600", "3600 − 11 = 3589", "4 + 3589 = 3593", "2 + 3593 = 3595", "1 + 3595 = 3596"], "key": "four-digit-3596-7♣4♥J♠9♦A♠8♥3♠2♣5♦"} {"id": "train-four-digit-0338", "level": "four-digit", "target": 7387, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 3 + 7 + 8 * (4 + 6 * 9 * (5 + 12))", "solution_steps": ["5 + 12 = 17", "9 × 17 = 153", "6 × 153 = 918", "4 + 918 = 922", "8 × 922 = 7376", "7 + 7376 = 7383", "3 + 7383 = 7386", "1 + 7386 = 7387"], "key": "four-digit-7387-Q♦3♠4♥7♣5♠9♦A♥6♣8♣"} {"id": "train-four-digit-0339", "level": "four-digit", "target": 1735, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 5 + 6 + 12 * (6 * 8 + 8 * 12) - 6", "solution_steps": ["6 × 8 = 48", "8 × 12 = 96", "48 + 96 = 144", "12 × 144 = 1728", "1728 − 6 = 1722", "6 + 1722 = 1728", "5 + 1728 = 1733", "2 + 1733 = 1735"], "key": "four-digit-1735-6♠2♦6♣8♣8♠Q♠5♦Q♥6♥"} {"id": "train-four-digit-0340", "level": "four-digit", "target": 1328, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 2 + 9 + 10 * (6 + 6 * (8 + 13)) - 4", "solution_steps": ["8 + 13 = 21", "6 × 21 = 126", "6 + 126 = 132", "10 × 132 = 1320", "9 + 1320 = 1329", "1329 − 4 = 1325", "2 + 1325 = 1327", "1 + 1327 = 1328"], "key": "four-digit-1328-2♣4♥8♠K♣6♦A♠10♦9♦6♣"} {"id": "train-four-digit-0341", "level": "four-digit", "target": 5702, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 3 + 3 * (13 - 4) * (12 * (7 + 11) - 5)", "solution_steps": ["13 − 4 = 9", "7 + 11 = 18", "12 × 18 = 216", "216 − 5 = 211", "9 × 211 = 1899", "3 × 1899 = 5697", "3 + 5697 = 5700", "2 + 5700 = 5702"], "key": "four-digit-5702-Q♠2♥4♥7♥3♣3♥5♥K♥J♠"} {"id": "train-four-digit-0342", "level": "four-digit", "target": 4383, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 3 + (4 * 11 - 10) * (12 + 9 * 13) - 8", "solution_steps": ["4 × 11 = 44", "44 − 10 = 34", "9 × 13 = 117", "12 + 117 = 129", "34 × 129 = 4386", "4386 − 8 = 4378", "3 + 4378 = 4381", "2 + 4381 = 4383"], "key": "four-digit-4383-4♥3♠9♠Q♣8♦K♥J♥10♦2♥"} {"id": "train-four-digit-0343", "level": "four-digit", "target": 9802, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 1 + 2 * 5 * 7 * (4 * 11 + 8 * 12)", "solution_steps": ["4 × 11 = 44", "8 × 12 = 96", "44 + 96 = 140", "7 × 140 = 980", "5 × 980 = 4900", "2 × 4900 = 9800", "1 + 9800 = 9801", "1 + 9801 = 9802"], "key": "four-digit-9802-A♠2♥8♠Q♣5♦A♣4♦7♣J♣"} {"id": "train-four-digit-0344", "level": "four-digit", "target": 9883, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 2 + 5 * 13 * (5 + 7 + 7 * (9 + 11))", "solution_steps": ["9 + 11 = 20", "7 × 20 = 140", "7 + 140 = 147", "5 + 147 = 152", "13 × 152 = 1976", "5 × 1976 = 9880", "2 + 9880 = 9882", "1 + 9882 = 9883"], "key": "four-digit-9883-A♦7♦K♣2♣5♠9♣J♥5♣7♠"} {"id": "train-four-digit-0345", "level": "four-digit", "target": 3206, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 + 3 + 6 + 9 * (5 + 7 * (6 * 10 - 10))", "solution_steps": ["6 × 10 = 60", "60 − 10 = 50", "7 × 50 = 350", "5 + 350 = 355", "9 × 355 = 3195", "6 + 3195 = 3201", "3 + 3201 = 3204", "2 + 3204 = 3206"], "key": "four-digit-3206-6♣2♠6♠7♦5♦3♥10♦9♦10♠"} {"id": "train-four-digit-0346", "level": "four-digit", "target": 7177, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "3 + 3 + 12 * 13 * (5 * 9 + 6 / 6) - 5", "solution_steps": ["5 × 9 = 45", "6 ÷ 6 = 1", "45 + 1 = 46", "13 × 46 = 598", "12 × 598 = 7176", "7176 − 5 = 7171", "3 + 7171 = 7174", "3 + 7174 = 7177"], "key": "four-digit-7177-9♦Q♠3♦3♣5♣6♠6♥5♦K♣"} {"id": "train-four-digit-0347", "level": "four-digit", "target": 5739, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 2 + (13 - 8) * (3 + 4 * 13 * (11 + 11))", "solution_steps": ["13 − 8 = 5", "11 + 11 = 22", "13 × 22 = 286", "4 × 286 = 1144", "3 + 1144 = 1147", "5 × 1147 = 5735", "2 + 5735 = 5737", "2 + 5737 = 5739"], "key": "four-digit-5739-J♣4♣K♠2♠K♥8♠2♣J♥3♠"} {"id": "train-four-digit-0348", "level": "four-digit", "target": 6891, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 + 9 * 13 * (6 * 11 - 7) - 10 - 4", "solution_steps": ["6 × 11 = 66", "66 − 7 = 59", "13 × 59 = 767", "9 × 767 = 6903", "6903 − 10 = 6893", "6893 − 4 = 6889", "1 + 6889 = 6890", "1 + 6890 = 6891"], "key": "four-digit-6891-10♦4♥7♦K♦J♣9♠6♥A♣A♥"} {"id": "train-four-digit-0349", "level": "four-digit", "target": 6475, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 1 * (9 * 10 - 12) * (12 * (9 - 1) - 13)", "solution_steps": ["9 × 10 = 90", "90 − 12 = 78", "9 − 1 = 8", "12 × 8 = 96", "96 − 13 = 83", "78 × 83 = 6474", "1 × 6474 = 6474", "1 + 6474 = 6475"], "key": "four-digit-6475-Q♠A♦A♣K♦9♦A♥10♠Q♣9♠"} {"id": "train-four-digit-0350", "level": "four-digit", "target": 2205, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 4 + 5 + (5 + 12) * (9 + 10 * (6 + 6))", "solution_steps": ["5 + 12 = 17", "6 + 6 = 12", "10 × 12 = 120", "9 + 120 = 129", "17 × 129 = 2193", "5 + 2193 = 2198", "4 + 2198 = 2202", "3 + 2202 = 2205"], "key": "four-digit-2205-9♥5♥6♣Q♥4♣6♠5♣10♦3♥"} {"id": "train-four-digit-0351", "level": "four-digit", "target": 5441, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 4 + 7 * (10 + 11) * (12 + 12 + 13) - 3", "solution_steps": ["10 + 11 = 21", "12 + 13 = 25", "12 + 25 = 37", "21 × 37 = 777", "7 × 777 = 5439", "4 + 5439 = 5443", "5443 − 3 = 5440", "1 + 5440 = 5441"], "key": "four-digit-5441-Q♥3♦4♦Q♦K♦7♣A♦J♠10♥"} {"id": "train-four-digit-0352", "level": "four-digit", "target": 6542, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 5 + 9 * (13 + 6 * 7 * (7 + 10)) - 8", "solution_steps": ["7 + 10 = 17", "7 × 17 = 119", "6 × 119 = 714", "13 + 714 = 727", "9 × 727 = 6543", "6543 − 8 = 6535", "5 + 6535 = 6540", "2 + 6540 = 6542"], "key": "four-digit-6542-2♣6♠9♦10♠K♥7♦5♣7♣8♥"} {"id": "train-four-digit-0353", "level": "four-digit", "target": 1922, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 4 + 5 + 6 * 8 * 10 * (11 - 7) - 10", "solution_steps": ["11 − 7 = 4", "10 × 4 = 40", "8 × 40 = 320", "6 × 320 = 1920", "1920 − 10 = 1910", "5 + 1910 = 1915", "4 + 1915 = 1919", "3 + 1919 = 1922"], "key": "four-digit-1922-4♣6♣3♠8♥10♦5♠10♣J♣7♦"} {"id": "train-four-digit-0354", "level": "four-digit", "target": 9240, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 5 + 8 * 11 * (6 + 9 * 11) - 10", "solution_steps": ["9 × 11 = 99", "6 + 99 = 105", "11 × 105 = 1155", "8 × 1155 = 9240", "9240 − 10 = 9230", "5 + 9230 = 9235", "3 + 9235 = 9238", "2 + 9238 = 9240"], "key": "four-digit-9240-6♠9♠J♥5♠10♦8♥2♦J♠3♠"} {"id": "train-four-digit-0355", "level": "four-digit", "target": 9890, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 3 * 7 * (6 * (7 * 12 - 4) - 9) - 2", "solution_steps": ["7 × 12 = 84", "84 − 4 = 80", "6 × 80 = 480", "480 − 9 = 471", "7 × 471 = 3297", "3 × 3297 = 9891", "9891 − 2 = 9889", "1 + 9889 = 9890"], "key": "four-digit-9890-4♥7♦2♣Q♦6♣7♠9♣A♠3♦"} {"id": "train-four-digit-0356", "level": "four-digit", "target": 1034, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 7 + 7 + 9 + 8 * (8 + 10 * 13 - 12)", "solution_steps": ["10 × 13 = 130", "130 − 12 = 118", "8 + 118 = 126", "8 × 126 = 1008", "9 + 1008 = 1017", "7 + 1017 = 1024", "7 + 1024 = 1031", "3 + 1031 = 1034"], "key": "four-digit-1034-7♦7♠Q♥8♦10♠K♠9♣3♥8♥"} {"id": "train-four-digit-0357", "level": "four-digit", "target": 4775, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 2 * (10 + 7 * 10 * (10 + 11 + 13) - 3)", "solution_steps": ["11 + 13 = 24", "10 + 24 = 34", "10 × 34 = 340", "7 × 340 = 2380", "10 + 2380 = 2390", "2390 − 3 = 2387", "2 × 2387 = 4774", "1 + 4774 = 4775"], "key": "four-digit-4775-10♣K♦2♦10♥3♠7♥10♠J♥A♦"} {"id": "train-four-digit-0358", "level": "four-digit", "target": 1754, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 + 2 + 11 * (12 * (10 + 11 - 7) - 9)", "solution_steps": ["10 + 11 = 21", "21 − 7 = 14", "12 × 14 = 168", "168 − 9 = 159", "11 × 159 = 1749", "2 + 1749 = 1751", "2 + 1751 = 1753", "1 + 1753 = 1754"], "key": "four-digit-1754-J♥2♣9♥A♠10♥2♦7♣Q♥J♦"} {"id": "train-four-digit-0359", "level": "four-digit", "target": 6487, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 2 + 13 * (7 + 12 * (6 * 8 - 7)) - 3", "solution_steps": ["6 × 8 = 48", "48 − 7 = 41", "12 × 41 = 492", "7 + 492 = 499", "13 × 499 = 6487", "6487 − 3 = 6484", "2 + 6484 = 6486", "1 + 6486 = 6487"], "key": "four-digit-6487-K♥3♥A♠Q♦7♦2♣7♣6♣8♥"} {"id": "train-four-digit-0360", "level": "four-digit", "target": 6045, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "3 + 4 + 6 + 13 * (4 + (10 + 10) * (11 + 12))", "solution_steps": ["10 + 10 = 20", "11 + 12 = 23", "20 × 23 = 460", "4 + 460 = 464", "13 × 464 = 6032", "6 + 6032 = 6038", "4 + 6038 = 6042", "3 + 6042 = 6045"], "key": "four-digit-6045-4♣K♠3♣J♣6♣4♥10♣Q♥10♦"} {"id": "train-four-digit-0361", "level": "four-digit", "target": 7885, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "4 + 6 + 7 * (9 + 9 * (11 + 13 + 10 * 10))", "solution_steps": ["10 × 10 = 100", "13 + 100 = 113", "11 + 113 = 124", "9 × 124 = 1116", "9 + 1116 = 1125", "7 × 1125 = 7875", "6 + 7875 = 7881", "4 + 7881 = 7885"], "key": "four-digit-7885-10♠7♦9♠6♦9♦J♠4♠K♦10♣"} {"id": "train-four-digit-0362", "level": "four-digit", "target": 7692, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 3 + (10 * 13 - 6) * (7 + 5 * 12 - 5)", "solution_steps": ["10 × 13 = 130", "130 − 6 = 124", "5 × 12 = 60", "7 + 60 = 67", "67 − 5 = 62", "124 × 62 = 7688", "3 + 7688 = 7691", "1 + 7691 = 7692"], "key": "four-digit-7692-A♥7♠Q♦K♣3♦10♠5♣6♦5♠"} {"id": "train-four-digit-0363", "level": "four-digit", "target": 3972, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 2 + 3 * 7 * 9 * (8 + 13 * (10 - 9))", "solution_steps": ["10 − 9 = 1", "13 × 1 = 13", "8 + 13 = 21", "9 × 21 = 189", "7 × 189 = 1323", "3 × 1323 = 3969", "2 + 3969 = 3971", "1 + 3971 = 3972"], "key": "four-digit-3972-2♦A♠K♣10♣9♥8♠7♣9♦3♦"} {"id": "train-four-digit-0364", "level": "four-digit", "target": 6428, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 5 + 8 + 6 * (7 * 12 * 13 - 13 - 10)", "solution_steps": ["12 × 13 = 156", "7 × 156 = 1092", "1092 − 13 = 1079", "1079 − 10 = 1069", "6 × 1069 = 6414", "8 + 6414 = 6422", "5 + 6422 = 6427", "1 + 6427 = 6428"], "key": "four-digit-6428-6♦5♥K♥10♦8♦7♣A♣Q♥K♣"} {"id": "train-four-digit-0365", "level": "four-digit", "target": 7965, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "5 + 5 + 11 + 6 * 13 * (12 + 9 * 10) - 12", "solution_steps": ["9 × 10 = 90", "12 + 90 = 102", "13 × 102 = 1326", "6 × 1326 = 7956", "7956 − 12 = 7944", "11 + 7944 = 7955", "5 + 7955 = 7960", "5 + 7960 = 7965"], "key": "four-digit-7965-K♦5♠Q♦5♣10♥J♥6♣Q♣9♣"} {"id": "train-four-digit-0366", "level": "four-digit", "target": 8953, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "2 + 3 + 13 + 5 * (6 + 13 * (12 * 12 - 7))", "solution_steps": ["12 × 12 = 144", "144 − 7 = 137", "13 × 137 = 1781", "6 + 1781 = 1787", "5 × 1787 = 8935", "13 + 8935 = 8948", "3 + 8948 = 8951", "2 + 8951 = 8953"], "key": "four-digit-8953-Q♠K♠3♦K♦5♣2♠6♣7♠Q♣"} {"id": "train-four-digit-0367", "level": "four-digit", "target": 3739, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 2 + 6 + 10 * (5 + (7 + 9) * (11 + 12))", "solution_steps": ["7 + 9 = 16", "11 + 12 = 23", "16 × 23 = 368", "5 + 368 = 373", "10 × 373 = 3730", "6 + 3730 = 3736", "2 + 3736 = 3738", "1 + 3738 = 3739"], "key": "four-digit-3739-Q♣A♣J♠9♦5♥7♥6♣2♦10♠"} {"id": "train-four-digit-0368", "level": "four-digit", "target": 5471, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 6 + 9 + 7 * (6 * 11 * 12 - 13)", "solution_steps": ["11 × 12 = 132", "6 × 132 = 792", "792 − 13 = 779", "7 × 779 = 5453", "9 + 5453 = 5462", "6 + 5462 = 5468", "2 + 5468 = 5470", "1 + 5470 = 5471"], "key": "four-digit-5471-2♣9♦6♦K♦J♥Q♣7♣6♣A♣"} {"id": "train-four-digit-0369", "level": "four-digit", "target": 4448, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 4 + 6 + 8 * 10 + 6 * 6 * 11 * 11", "solution_steps": ["8 × 10 = 80", "11 × 11 = 121", "6 × 121 = 726", "6 × 726 = 4356", "80 + 4356 = 4436", "6 + 4436 = 4442", "4 + 4442 = 4446", "2 + 4446 = 4448"], "key": "four-digit-4448-J♣10♥8♠J♦2♠4♥6♦6♠6♥"} {"id": "train-four-digit-0370", "level": "four-digit", "target": 9468, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 2 + 8 * (13 * (10 * 10 - 8) - 12) - 7", "solution_steps": ["10 × 10 = 100", "100 − 8 = 92", "13 × 92 = 1196", "1196 − 12 = 1184", "8 × 1184 = 9472", "9472 − 7 = 9465", "2 + 9465 = 9467", "1 + 9467 = 9468"], "key": "four-digit-9468-7♦8♣8♦2♣A♣10♣10♦Q♥K♣"} {"id": "train-four-digit-0371", "level": "four-digit", "target": 2981, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 2 + 4 + 6 * 7 * (11 + 5 * 12) - 8", "solution_steps": ["5 × 12 = 60", "11 + 60 = 71", "7 × 71 = 497", "6 × 497 = 2982", "2982 − 8 = 2974", "4 + 2974 = 2978", "2 + 2978 = 2980", "1 + 2980 = 2981"], "key": "four-digit-2981-6♠7♥4♥5♣2♠J♦8♠A♥Q♥"} {"id": "train-four-digit-0372", "level": "four-digit", "target": 8290, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 2 + 7 + 8 * 9 * (10 * (3 + 9) - 5)", "solution_steps": ["3 + 9 = 12", "10 × 12 = 120", "120 − 5 = 115", "9 × 115 = 1035", "8 × 1035 = 8280", "7 + 8280 = 8287", "2 + 8287 = 8289", "1 + 8289 = 8290"], "key": "four-digit-8290-8♦A♥3♣9♣2♣5♣7♥9♦10♣"} {"id": "train-four-digit-0373", "level": "four-digit", "target": 6332, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 + 5 + 4 * (13 + 4 * 4 * 7 * (6 + 8))", "solution_steps": ["6 + 8 = 14", "7 × 14 = 98", "4 × 98 = 392", "4 × 392 = 1568", "13 + 1568 = 1581", "4 × 1581 = 6324", "5 + 6324 = 6329", "3 + 6329 = 6332"], "key": "four-digit-6332-8♠4♠3♣5♣4♥7♠K♥4♦6♣"} {"id": "train-four-digit-0374", "level": "four-digit", "target": 7603, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 + 4 * (10 + (8 + 10) * (6 + 9 * 11))", "solution_steps": ["8 + 10 = 18", "9 × 11 = 99", "6 + 99 = 105", "18 × 105 = 1890", "10 + 1890 = 1900", "4 × 1900 = 7600", "2 + 7600 = 7602", "1 + 7602 = 7603"], "key": "four-digit-7603-4♦9♣6♠8♦10♠2♣10♥A♠J♦"} {"id": "train-four-digit-0375", "level": "four-digit", "target": 9683, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 4 + 6 + 12 * (6 + 5 * 8 * (10 + 10))", "solution_steps": ["10 + 10 = 20", "8 × 20 = 160", "5 × 160 = 800", "6 + 800 = 806", "12 × 806 = 9672", "6 + 9672 = 9678", "4 + 9678 = 9682", "1 + 9682 = 9683"], "key": "four-digit-9683-5♠10♥A♦6♠Q♦4♥8♣6♣10♦"} {"id": "train-four-digit-0376", "level": "four-digit", "target": 5019, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 + 4 * (10 + 11 + 9 * (5 + 11 * 12))", "solution_steps": ["11 × 12 = 132", "5 + 132 = 137", "9 × 137 = 1233", "11 + 1233 = 1244", "10 + 1244 = 1254", "4 × 1254 = 5016", "2 + 5016 = 5018", "1 + 5018 = 5019"], "key": "four-digit-5019-9♠J♥A♦10♦5♦Q♥2♠4♠J♦"} {"id": "train-four-digit-0377", "level": "four-digit", "target": 1957, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 5 + 13 + 6 * (7 + 11) * (7 + 11) - 6", "solution_steps": ["7 + 11 = 18", "7 + 11 = 18", "18 × 18 = 324", "6 × 324 = 1944", "13 + 1944 = 1957", "1957 − 6 = 1951", "5 + 1951 = 1956", "1 + 1956 = 1957"], "key": "four-digit-1957-J♠5♣6♦6♠A♦K♣7♠J♥7♣"} {"id": "train-four-digit-0378", "level": "four-digit", "target": 8541, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 7 * (8 * 9 * (5 + 12) - 3) - 5 - 2", "solution_steps": ["5 + 12 = 17", "9 × 17 = 153", "8 × 153 = 1224", "1224 − 3 = 1221", "7 × 1221 = 8547", "8547 − 5 = 8542", "8542 − 2 = 8540", "1 + 8540 = 8541"], "key": "four-digit-8541-5♣Q♦2♦7♦3♣5♦A♣9♥8♠"} {"id": "train-four-digit-0379", "level": "four-digit", "target": 3421, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 2 + 3 + 5 * (10 * (7 * 11 - 8) - 7)", "solution_steps": ["7 × 11 = 77", "77 − 8 = 69", "10 × 69 = 690", "690 − 7 = 683", "5 × 683 = 3415", "3 + 3415 = 3418", "2 + 3418 = 3420", "1 + 3420 = 3421"], "key": "four-digit-3421-5♠A♦7♦2♥J♣10♦3♥7♣8♦"} {"id": "train-four-digit-0380", "level": "four-digit", "target": 8437, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "4 + 5 + 8 * 11 * (6 + 9 * 10) - 13 - 7", "solution_steps": ["9 × 10 = 90", "6 + 90 = 96", "11 × 96 = 1056", "8 × 1056 = 8448", "8448 − 13 = 8435", "8435 − 7 = 8428", "5 + 8428 = 8433", "4 + 8433 = 8437"], "key": "four-digit-8437-6♥4♠7♣10♣9♥K♥8♠5♠J♣"} {"id": "train-four-digit-0381", "level": "four-digit", "target": 3386, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 3 + 4 + 11 + 11 * (4 + 13) * (7 + 11)", "solution_steps": ["4 + 13 = 17", "7 + 11 = 18", "17 × 18 = 306", "11 × 306 = 3366", "11 + 3366 = 3377", "4 + 3377 = 3381", "3 + 3381 = 3384", "2 + 3384 = 3386"], "key": "four-digit-3386-4♦7♥J♠K♥J♦4♥2♠3♠J♣"} {"id": "train-four-digit-0382", "level": "four-digit", "target": 7563, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 + 3 * 6 * 6 * 7 * 10 * (12 - 11)", "solution_steps": ["12 − 11 = 1", "10 × 1 = 10", "7 × 10 = 70", "6 × 70 = 420", "6 × 420 = 2520", "3 × 2520 = 7560", "2 + 7560 = 7562", "1 + 7562 = 7563"], "key": "four-digit-7563-10♥Q♦A♠J♦6♣6♦3♠7♥2♥"} {"id": "train-four-digit-0383", "level": "four-digit", "target": 8551, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 2 + 7 + 6 * 10 * 12 * 12 - 9 * 11", "solution_steps": ["12 × 12 = 144", "10 × 144 = 1440", "6 × 1440 = 8640", "9 × 11 = 99", "8640 − 99 = 8541", "7 + 8541 = 8548", "2 + 8548 = 8550", "1 + 8550 = 8551"], "key": "four-digit-8551-6♣A♦Q♦9♥10♠Q♠2♠7♣J♠"} {"id": "train-four-digit-0384", "level": "four-digit", "target": 3386, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 3 + 10 * (13 * (4 * 8 - 5) - 12) - 8", "solution_steps": ["4 × 8 = 32", "32 − 5 = 27", "13 × 27 = 351", "351 − 12 = 339", "10 × 339 = 3390", "3390 − 8 = 3382", "3 + 3382 = 3385", "1 + 3385 = 3386"], "key": "four-digit-3386-K♠A♥8♠4♣10♦Q♦5♠3♠8♥"} {"id": "train-four-digit-0385", "level": "four-digit", "target": 9852, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 3 + 6 + 10 * 12 * (9 * 11 - 13 - 4)", "solution_steps": ["9 × 11 = 99", "99 − 13 = 86", "86 − 4 = 82", "12 × 82 = 984", "10 × 984 = 9840", "6 + 9840 = 9846", "3 + 9846 = 9849", "3 + 9849 = 9852"], "key": "four-digit-9852-J♥K♣6♣3♣9♠4♥Q♣10♣3♦"} {"id": "train-four-digit-0386", "level": "four-digit", "target": 9735, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 2 + 3 * (4 + 6 * 9 * (12 + 6 * 8))", "solution_steps": ["6 × 8 = 48", "12 + 48 = 60", "9 × 60 = 540", "6 × 540 = 3240", "4 + 3240 = 3244", "3 × 3244 = 9732", "2 + 9732 = 9734", "1 + 9734 = 9735"], "key": "four-digit-9735-A♦Q♦6♠4♠9♦2♥3♣6♥8♦"} {"id": "train-four-digit-0387", "level": "four-digit", "target": 6092, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 4 + 6 + 10 * (7 + 12) * (10 + 11 + 11)", "solution_steps": ["7 + 12 = 19", "11 + 11 = 22", "10 + 22 = 32", "19 × 32 = 608", "10 × 608 = 6080", "6 + 6080 = 6086", "4 + 6086 = 6090", "2 + 6090 = 6092"], "key": "four-digit-6092-Q♥6♦J♦10♥7♠10♣4♦J♣2♣"} {"id": "train-four-digit-0388", "level": "four-digit", "target": 2054, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 2 + 11 * (8 + 9) * (8 + 10 - 7) - 6", "solution_steps": ["8 + 9 = 17", "8 + 10 = 18", "18 − 7 = 11", "17 × 11 = 187", "11 × 187 = 2057", "2057 − 6 = 2051", "2 + 2051 = 2053", "1 + 2053 = 2054"], "key": "four-digit-2054-9♣A♦2♣7♣8♠6♠10♥8♣J♣"} {"id": "train-four-digit-0389", "level": "four-digit", "target": 4987, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 5 + 11 + 7 * 10 * (11 + 12 * (13 - 8))", "solution_steps": ["13 − 8 = 5", "12 × 5 = 60", "11 + 60 = 71", "10 × 71 = 710", "7 × 710 = 4970", "11 + 4970 = 4981", "5 + 4981 = 4986", "1 + 4986 = 4987"], "key": "four-digit-4987-7♣8♣Q♣K♦A♣5♥10♥J♦J♥"} {"id": "train-four-digit-0390", "level": "four-digit", "target": 7995, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 7 + (3 + 7 * 9) * (5 * 5 * 5 - 4)", "solution_steps": ["7 × 9 = 63", "3 + 63 = 66", "5 × 5 = 25", "5 × 25 = 125", "125 − 4 = 121", "66 × 121 = 7986", "7 + 7986 = 7993", "2 + 7993 = 7995"], "key": "four-digit-7995-9♥5♣2♥4♦7♥7♦3♠5♠5♥"} {"id": "train-four-digit-0391", "level": "four-digit", "target": 6755, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "2 + 3 + 5 * 6 * (7 * (6 + 4 * 7) - 13)", "solution_steps": ["4 × 7 = 28", "6 + 28 = 34", "7 × 34 = 238", "238 − 13 = 225", "6 × 225 = 1350", "5 × 1350 = 6750", "3 + 6750 = 6753", "2 + 6753 = 6755"], "key": "four-digit-6755-2♥3♠7♦6♣4♣K♦6♦7♥5♦"} {"id": "train-four-digit-0392", "level": "four-digit", "target": 7400, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 6 * 12 * (11 + (7 + 13) * (7 + 13)) / 4", "solution_steps": ["7 + 13 = 20", "7 + 13 = 20", "20 × 20 = 400", "11 + 400 = 411", "12 × 411 = 4932", "6 × 4932 = 29592", "29592 ÷ 4 = 7398", "2 + 7398 = 7400"], "key": "four-digit-7400-6♣K♥4♦K♦Q♠2♠7♥J♦7♠"} {"id": "train-four-digit-0393", "level": "four-digit", "target": 2855, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 3 + 4 + 8 * (5 + 12) * (8 + 13) - 10", "solution_steps": ["5 + 12 = 17", "8 + 13 = 21", "17 × 21 = 357", "8 × 357 = 2856", "2856 − 10 = 2846", "4 + 2846 = 2850", "3 + 2850 = 2853", "2 + 2853 = 2855"], "key": "four-digit-2855-K♣Q♣10♥2♠8♦3♥4♠5♦8♥"} {"id": "train-four-digit-0394", "level": "four-digit", "target": 9211, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 3 + 9 * (13 * (11 + 13 + 5 * 11) - 4)", "solution_steps": ["5 × 11 = 55", "13 + 55 = 68", "11 + 68 = 79", "13 × 79 = 1027", "1027 − 4 = 1023", "9 × 1023 = 9207", "3 + 9207 = 9210", "1 + 9210 = 9211"], "key": "four-digit-9211-J♦J♣K♦K♣4♦5♦A♥3♠9♣"} {"id": "train-four-digit-0395", "level": "four-digit", "target": 8067, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 1 + 13 + 4 * (11 + 7 * 13 * (9 + 13))", "solution_steps": ["9 + 13 = 22", "13 × 22 = 286", "7 × 286 = 2002", "11 + 2002 = 2013", "4 × 2013 = 8052", "13 + 8052 = 8065", "1 + 8065 = 8066", "1 + 8066 = 8067"], "key": "four-digit-8067-A♣K♠K♣A♥7♠K♦J♦4♠9♦"} {"id": "train-four-digit-0396", "level": "four-digit", "target": 4060, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 3 + 6 * 7 * (6 + 7 * 13) - 12 - 6", "solution_steps": ["7 × 13 = 91", "6 + 91 = 97", "7 × 97 = 679", "6 × 679 = 4074", "4074 − 12 = 4062", "4062 − 6 = 4056", "3 + 4056 = 4059", "1 + 4059 = 4060"], "key": "four-digit-4060-Q♠3♠7♥K♦7♠A♦6♦6♠6♥"} {"id": "train-four-digit-0397", "level": "four-digit", "target": 9402, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 4 + 6 * (11 * 11 * 13 - 5) - 8 - 4", "solution_steps": ["11 × 13 = 143", "11 × 143 = 1573", "1573 − 5 = 1568", "6 × 1568 = 9408", "9408 − 8 = 9400", "9400 − 4 = 9396", "4 + 9396 = 9400", "2 + 9400 = 9402"], "key": "four-digit-9402-J♦K♠J♠4♦6♦5♦8♣2♣4♣"} {"id": "train-four-digit-0398", "level": "four-digit", "target": 5545, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "3 + 4 + 13 * (8 + 10 + 12 * (10 + 11 + 13))", "solution_steps": ["11 + 13 = 24", "10 + 24 = 34", "12 × 34 = 408", "10 + 408 = 418", "8 + 418 = 426", "13 × 426 = 5538", "4 + 5538 = 5542", "3 + 5542 = 5545"], "key": "four-digit-5545-8♣K♠3♦4♦J♠Q♠10♦10♣K♥"} {"id": "train-four-digit-0399", "level": "four-digit", "target": 4491, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "5 + 8 + 8 * (7 + 10) * (9 + 12 + 12) - 10", "solution_steps": ["7 + 10 = 17", "12 + 12 = 24", "9 + 24 = 33", "17 × 33 = 561", "8 × 561 = 4488", "4488 − 10 = 4478", "8 + 4478 = 4486", "5 + 4486 = 4491"], "key": "four-digit-4491-Q♠10♣8♦Q♥5♥8♠9♠7♣10♦"} {"id": "train-four-digit-0400", "level": "four-digit", "target": 3935, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 3 + 4 * 12 * (6 * (5 + 10) - 8) - 5", "solution_steps": ["5 + 10 = 15", "6 × 15 = 90", "90 − 8 = 82", "12 × 82 = 984", "4 × 984 = 3936", "3936 − 5 = 3931", "3 + 3931 = 3934", "1 + 3934 = 3935"], "key": "four-digit-3935-8♦10♣A♣5♣5♠Q♣3♦4♥6♣"} {"id": "train-four-digit-0401", "level": "four-digit", "target": 3772, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 3 + 6 + 6 * 11 * (7 + 5 * 12 - 10)", "solution_steps": ["5 × 12 = 60", "60 − 10 = 50", "7 + 50 = 57", "11 × 57 = 627", "6 × 627 = 3762", "6 + 3762 = 3768", "3 + 3768 = 3771", "1 + 3771 = 3772"], "key": "four-digit-3772-J♠Q♣10♦6♠5♦3♣A♦7♥6♣"} {"id": "train-four-digit-0402", "level": "four-digit", "target": 5722, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 2 + (8 + 9) * (13 + 6 * 6 * 9) - 10", "solution_steps": ["8 + 9 = 17", "6 × 9 = 54", "6 × 54 = 324", "13 + 324 = 337", "17 × 337 = 5729", "5729 − 10 = 5719", "2 + 5719 = 5721", "1 + 5721 = 5722"], "key": "four-digit-5722-9♠A♥6♦10♣K♣8♠9♣6♣2♣"} {"id": "train-four-digit-0403", "level": "four-digit", "target": 3544, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 3 + 3 * (4 + 6 + 10 * (10 * 13 - 13))", "solution_steps": ["10 × 13 = 130", "130 − 13 = 117", "10 × 117 = 1170", "6 + 1170 = 1176", "4 + 1176 = 1180", "3 × 1180 = 3540", "3 + 3540 = 3543", "1 + 3543 = 3544"], "key": "four-digit-3544-A♣10♠K♥6♥10♣3♥3♣4♥K♦"} {"id": "train-four-digit-0404", "level": "four-digit", "target": 1192, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 2 + 3 + 9 + 11 * (9 * 12 - 6 / 6)", "solution_steps": ["9 × 12 = 108", "6 ÷ 6 = 1", "108 − 1 = 107", "11 × 107 = 1177", "9 + 1177 = 1186", "3 + 1186 = 1189", "2 + 1189 = 1191", "1 + 1191 = 1192"], "key": "four-digit-1192-J♠9♣2♠3♣9♠6♣6♥Q♣A♠"} {"id": "train-four-digit-0405", "level": "four-digit", "target": 6985, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 10 + 12 * (3 * 11 * (5 + 13) - 13)", "solution_steps": ["5 + 13 = 18", "11 × 18 = 198", "3 × 198 = 594", "594 − 13 = 581", "12 × 581 = 6972", "10 + 6972 = 6982", "2 + 6982 = 6984", "1 + 6984 = 6985"], "key": "four-digit-6985-10♣K♥2♦Q♠3♦J♥K♦5♦A♣"} {"id": "train-four-digit-0406", "level": "four-digit", "target": 9199, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 7 * (4 + (5 + 5) * (3 + 8 * (4 + 12)))", "solution_steps": ["5 + 5 = 10", "4 + 12 = 16", "8 × 16 = 128", "3 + 128 = 131", "10 × 131 = 1310", "4 + 1310 = 1314", "7 × 1314 = 9198", "1 + 9198 = 9199"], "key": "four-digit-9199-A♠4♥7♣8♥5♣4♦5♠3♦Q♥"} {"id": "train-four-digit-0407", "level": "four-digit", "target": 2433, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 + 3 * 5 * (10 * (10 + 12 - 5) - 8)", "solution_steps": ["10 + 12 = 22", "22 − 5 = 17", "10 × 17 = 170", "170 − 8 = 162", "5 × 162 = 810", "3 × 810 = 2430", "2 + 2430 = 2432", "1 + 2432 = 2433"], "key": "four-digit-2433-10♦2♦3♥5♦Q♠5♣8♦10♣A♥"} {"id": "train-four-digit-0408", "level": "four-digit", "target": 2360, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 1 + 2 + (8 + 11) * (12 + 8 * (5 + 9))", "solution_steps": ["8 + 11 = 19", "5 + 9 = 14", "8 × 14 = 112", "12 + 112 = 124", "19 × 124 = 2356", "2 + 2356 = 2358", "1 + 2358 = 2359", "1 + 2359 = 2360"], "key": "four-digit-2360-8♠9♠A♣A♦Q♠2♦8♥J♦5♣"} {"id": "train-four-digit-0409", "level": "four-digit", "target": 8036, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 2 + 6 * (12 + 8 * (10 + 12 * 13)) - 7", "solution_steps": ["12 × 13 = 156", "10 + 156 = 166", "8 × 166 = 1328", "12 + 1328 = 1340", "6 × 1340 = 8040", "8040 − 7 = 8033", "2 + 8033 = 8035", "1 + 8035 = 8036"], "key": "four-digit-8036-Q♠2♠8♣A♣6♥Q♦K♥7♥10♠"} {"id": "train-four-digit-0410", "level": "four-digit", "target": 4878, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 3 + (6 + 13) * (11 * (12 + 12) - 7) - 9", "solution_steps": ["6 + 13 = 19", "12 + 12 = 24", "11 × 24 = 264", "264 − 7 = 257", "19 × 257 = 4883", "4883 − 9 = 4874", "3 + 4874 = 4877", "1 + 4877 = 4878"], "key": "four-digit-4878-3♣6♥K♥9♣A♦7♥J♦Q♦Q♠"} {"id": "train-four-digit-0411", "level": "four-digit", "target": 8667, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 2 + 3 * (8 + 4 * 6 * 10 * (5 + 7))", "solution_steps": ["5 + 7 = 12", "10 × 12 = 120", "6 × 120 = 720", "4 × 720 = 2880", "8 + 2880 = 2888", "3 × 2888 = 8664", "2 + 8664 = 8666", "1 + 8666 = 8667"], "key": "four-digit-8667-3♦7♦6♥2♥A♠4♥10♣8♦5♠"} {"id": "train-four-digit-0412", "level": "four-digit", "target": 7104, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 3 + 5 * 10 * (6 + 13 + 13 + 10 * 11)", "solution_steps": ["10 × 11 = 110", "13 + 110 = 123", "13 + 123 = 136", "6 + 136 = 142", "10 × 142 = 1420", "5 × 1420 = 7100", "3 + 7100 = 7103", "1 + 7103 = 7104"], "key": "four-digit-7104-J♠K♣6♠5♥3♦A♦10♣K♦10♥"} {"id": "train-four-digit-0413", "level": "four-digit", "target": 4423, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "4 + 4 + 13 * ((8 + 8) * (11 + 11) - 12) - 5", "solution_steps": ["8 + 8 = 16", "11 + 11 = 22", "16 × 22 = 352", "352 − 12 = 340", "13 × 340 = 4420", "4420 − 5 = 4415", "4 + 4415 = 4419", "4 + 4419 = 4423"], "key": "four-digit-4423-4♥J♦5♠K♦J♥4♠Q♥8♦8♠"} {"id": "train-four-digit-0414", "level": "four-digit", "target": 5154, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 2 + 10 * (12 * (4 + 5 * 8) - 12) - 9", "solution_steps": ["5 × 8 = 40", "4 + 40 = 44", "12 × 44 = 528", "528 − 12 = 516", "10 × 516 = 5160", "5160 − 9 = 5151", "2 + 5151 = 5153", "1 + 5153 = 5154"], "key": "four-digit-5154-Q♠A♦Q♥10♦8♥4♥2♦9♣5♦"} {"id": "train-four-digit-0415", "level": "four-digit", "target": 7252, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 2 + 11 * (13 + 13 * (6 * 9 - 4) - 4)", "solution_steps": ["6 × 9 = 54", "54 − 4 = 50", "13 × 50 = 650", "13 + 650 = 663", "663 − 4 = 659", "11 × 659 = 7249", "2 + 7249 = 7251", "1 + 7251 = 7252"], "key": "four-digit-7252-J♠4♦9♠4♥K♥A♦2♦6♥K♣"} {"id": "train-four-digit-0416", "level": "four-digit", "target": 3368, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 4 + (6 + 13) * (7 * 11 + 4 * 5 * 5)", "solution_steps": ["6 + 13 = 19", "7 × 11 = 77", "5 × 5 = 25", "4 × 25 = 100", "77 + 100 = 177", "19 × 177 = 3363", "4 + 3363 = 3367", "1 + 3367 = 3368"], "key": "four-digit-3368-J♣6♥4♣K♠5♥A♠4♦5♣7♣"} {"id": "train-four-digit-0417", "level": "four-digit", "target": 7157, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + 2 + 6 * (10 * (12 + 9 * 12) - 7) - 5", "solution_steps": ["9 × 12 = 108", "12 + 108 = 120", "10 × 120 = 1200", "1200 − 7 = 1193", "6 × 1193 = 7158", "7158 − 5 = 7153", "2 + 7153 = 7155", "2 + 7155 = 7157"], "key": "four-digit-7157-Q♠5♠2♠10♣2♣Q♣6♣7♥9♠"} {"id": "train-four-digit-0418", "level": "four-digit", "target": 2608, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 2 + 8 * (6 + 5 * (6 * 12 - 8)) - 3", "solution_steps": ["6 × 12 = 72", "72 − 8 = 64", "5 × 64 = 320", "6 + 320 = 326", "8 × 326 = 2608", "2608 − 3 = 2605", "2 + 2605 = 2607", "1 + 2607 = 2608"], "key": "four-digit-2608-2♦5♠6♠6♣Q♠8♠A♥8♣3♥"} {"id": "train-four-digit-0419", "level": "four-digit", "target": 4356, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 11 * (13 * (9 + 11 + 11) - 6) - 8 - 5", "solution_steps": ["11 + 11 = 22", "9 + 22 = 31", "13 × 31 = 403", "403 − 6 = 397", "11 × 397 = 4367", "4367 − 8 = 4359", "4359 − 5 = 4354", "2 + 4354 = 4356"], "key": "four-digit-4356-J♠J♦J♥5♥6♣8♠9♣K♦2♦"} {"id": "train-four-digit-0420", "level": "four-digit", "target": 5763, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 6 + 10 + 13 * (10 + 9 * (6 * 10 - 12))", "solution_steps": ["6 × 10 = 60", "60 − 12 = 48", "9 × 48 = 432", "10 + 432 = 442", "13 × 442 = 5746", "10 + 5746 = 5756", "6 + 5756 = 5762", "1 + 5762 = 5763"], "key": "four-digit-5763-A♥10♠K♠Q♥6♠9♣10♥6♥10♦"} {"id": "train-four-digit-0421", "level": "four-digit", "target": 2156, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 6 + (7 + 13) * (11 * 11 - 13) - 6 - 6", "solution_steps": ["7 + 13 = 20", "11 × 11 = 121", "121 − 13 = 108", "20 × 108 = 2160", "2160 − 6 = 2154", "2154 − 6 = 2148", "6 + 2148 = 2154", "2 + 2154 = 2156"], "key": "four-digit-2156-J♦2♦6♦7♥6♥6♠K♣K♥J♠"} {"id": "train-four-digit-0422", "level": "four-digit", "target": 7358, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 4 + 9 + 6 * 9 * (11 * (6 + 7) - 7)", "solution_steps": ["6 + 7 = 13", "11 × 13 = 143", "143 − 7 = 136", "9 × 136 = 1224", "6 × 1224 = 7344", "9 + 7344 = 7353", "4 + 7353 = 7357", "1 + 7357 = 7358"], "key": "four-digit-7358-9♣A♥7♣7♥6♦J♠6♠9♠4♦"} {"id": "train-four-digit-0423", "level": "four-digit", "target": 6892, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 3 * (7 + 7) * (11 + 9 * (4 + 13))", "solution_steps": ["7 + 7 = 14", "4 + 13 = 17", "9 × 17 = 153", "11 + 153 = 164", "14 × 164 = 2296", "3 × 2296 = 6888", "2 + 6888 = 6890", "2 + 6890 = 6892"], "key": "four-digit-6892-2♦K♠3♠4♠7♥J♦9♥7♦2♣"} {"id": "train-four-digit-0424", "level": "four-digit", "target": 4695, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "5 + 7 + 7 * (8 * 10 * 10 - 10 * 12 - 11)", "solution_steps": ["10 × 10 = 100", "8 × 100 = 800", "10 × 12 = 120", "800 − 120 = 680", "680 − 11 = 669", "7 × 669 = 4683", "7 + 4683 = 4690", "5 + 4690 = 4695"], "key": "four-digit-4695-J♣7♥10♥5♥10♠8♠10♣Q♦7♦"} {"id": "train-four-digit-0425", "level": "four-digit", "target": 7362, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "5 + 6 + 9 * (10 * (8 * 12 - 13) - 12) - 11", "solution_steps": ["8 × 12 = 96", "96 − 13 = 83", "10 × 83 = 830", "830 − 12 = 818", "9 × 818 = 7362", "7362 − 11 = 7351", "6 + 7351 = 7357", "5 + 7357 = 7362"], "key": "four-digit-7362-6♥J♣5♦8♣Q♣9♦10♠Q♦K♦"} {"id": "train-four-digit-0426", "level": "four-digit", "target": 2923, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 3 + 7 * (9 + 12 + 9 * 11 * (10 - 6))", "solution_steps": ["10 − 6 = 4", "11 × 4 = 44", "9 × 44 = 396", "12 + 396 = 408", "9 + 408 = 417", "7 × 417 = 2919", "3 + 2919 = 2922", "1 + 2922 = 2923"], "key": "four-digit-2923-9♥J♦7♦A♣10♠6♥Q♦3♦9♠"} {"id": "train-four-digit-0427", "level": "four-digit", "target": 3691, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "3 + 5 + 11 + 9 * (9 - 5) * (12 + 9 * 10)", "solution_steps": ["9 − 5 = 4", "9 × 10 = 90", "12 + 90 = 102", "4 × 102 = 408", "9 × 408 = 3672", "11 + 3672 = 3683", "5 + 3683 = 3688", "3 + 3688 = 3691"], "key": "four-digit-3691-10♦Q♥9♣9♥9♠J♣5♣3♣5♦"} {"id": "train-four-digit-0428", "level": "four-digit", "target": 2080, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 3 + 8 + 10 * 11 * (8 + 11) - 13 - 9", "solution_steps": ["8 + 11 = 19", "11 × 19 = 209", "10 × 209 = 2090", "2090 − 13 = 2077", "2077 − 9 = 2068", "8 + 2068 = 2076", "3 + 2076 = 2079", "1 + 2079 = 2080"], "key": "four-digit-2080-A♣K♠9♠10♣8♦J♦3♦J♥8♣"} {"id": "train-four-digit-0429", "level": "four-digit", "target": 7401, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "4 + 5 + 8 * 11 * 12 * (10 + 11) / (13 - 10)", "solution_steps": ["10 + 11 = 21", "13 − 10 = 3", "21 ÷ 3 = 7", "12 × 7 = 84", "11 × 84 = 924", "8 × 924 = 7392", "5 + 7392 = 7397", "4 + 7397 = 7401"], "key": "four-digit-7401-5♦10♥10♦J♥8♠J♣4♠K♥Q♣"} {"id": "train-four-digit-0430", "level": "four-digit", "target": 2952, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 1 + 9 * (7 - 3) * (12 + 7 * 10) - 2", "solution_steps": ["7 − 3 = 4", "7 × 10 = 70", "12 + 70 = 82", "4 × 82 = 328", "9 × 328 = 2952", "2952 − 2 = 2950", "1 + 2950 = 2951", "1 + 2951 = 2952"], "key": "four-digit-2952-7♥3♠2♥9♣A♥7♣A♠Q♠10♣"} {"id": "train-four-digit-0431", "level": "four-digit", "target": 7229, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 3 + 9 * (8 * (9 * 12 - 6) - 13) - 2", "solution_steps": ["9 × 12 = 108", "108 − 6 = 102", "8 × 102 = 816", "816 − 13 = 803", "9 × 803 = 7227", "3 + 7227 = 7230", "7230 − 2 = 7228", "1 + 7228 = 7229"], "key": "four-digit-7229-A♥3♠6♠2♠Q♥8♦K♠9♦9♥"} {"id": "train-four-digit-0432", "level": "four-digit", "target": 5254, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 3 + 5 + 12 * (7 + 10 * (6 * 9 - 11))", "solution_steps": ["6 × 9 = 54", "54 − 11 = 43", "10 × 43 = 430", "7 + 430 = 437", "12 × 437 = 5244", "5 + 5244 = 5249", "3 + 5249 = 5252", "2 + 5252 = 5254"], "key": "four-digit-5254-7♣J♣5♣3♠Q♠6♣10♥9♥2♠"} {"id": "train-four-digit-0433", "level": "four-digit", "target": 3236, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 1 + 2 + 4 * 4 * (13 * (5 + 11) - 6)", "solution_steps": ["5 + 11 = 16", "13 × 16 = 208", "208 − 6 = 202", "4 × 202 = 808", "4 × 808 = 3232", "2 + 3232 = 3234", "1 + 3234 = 3235", "1 + 3235 = 3236"], "key": "four-digit-3236-5♦2♠J♠4♣4♠A♣6♣A♥K♦"} {"id": "train-four-digit-0434", "level": "four-digit", "target": 7695, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 4 + 8 * (7 + 7 * (12 * 12 - 6) - 12)", "solution_steps": ["12 × 12 = 144", "144 − 6 = 138", "7 × 138 = 966", "966 − 12 = 954", "7 + 954 = 961", "8 × 961 = 7688", "4 + 7688 = 7692", "3 + 7692 = 7695"], "key": "four-digit-7695-4♠8♠3♦7♠Q♣Q♥6♥Q♦7♦"} {"id": "train-four-digit-0435", "level": "four-digit", "target": 2012, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 2 + 7 + 10 + 12 * (8 * (10 + 12) - 10)", "solution_steps": ["10 + 12 = 22", "8 × 22 = 176", "176 − 10 = 166", "12 × 166 = 1992", "10 + 1992 = 2002", "7 + 2002 = 2009", "2 + 2009 = 2011", "1 + 2011 = 2012"], "key": "four-digit-2012-7♦8♣Q♠A♥10♠10♣2♣Q♥10♦"} {"id": "train-four-digit-0436", "level": "four-digit", "target": 4852, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "4 + 5 + 7 + 6 * (11 + 8 * 10 * 10 - 5)", "solution_steps": ["10 × 10 = 100", "8 × 100 = 800", "11 + 800 = 811", "811 − 5 = 806", "6 × 806 = 4836", "7 + 4836 = 4843", "5 + 4843 = 4848", "4 + 4848 = 4852"], "key": "four-digit-4852-8♠10♣6♦J♥10♦7♣5♠4♦5♥"} {"id": "train-four-digit-0437", "level": "four-digit", "target": 2081, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 3 + 4 + 8 * ((6 + 10) * (6 + 11) - 13)", "solution_steps": ["6 + 10 = 16", "6 + 11 = 17", "16 × 17 = 272", "272 − 13 = 259", "8 × 259 = 2072", "4 + 2072 = 2076", "3 + 2076 = 2079", "2 + 2079 = 2081"], "key": "four-digit-2081-K♥2♥6♦8♣10♦J♣6♣4♦3♥"} {"id": "train-four-digit-0438", "level": "four-digit", "target": 7437, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 3 + 11 * (4 + 6 * (12 + 10 * 10)) - 5", "solution_steps": ["10 × 10 = 100", "12 + 100 = 112", "6 × 112 = 672", "4 + 672 = 676", "11 × 676 = 7436", "7436 − 5 = 7431", "3 + 7431 = 7434", "3 + 7434 = 7437"], "key": "four-digit-7437-6♥J♥3♠10♥5♦4♦Q♦10♠3♦"} {"id": "train-four-digit-0439", "level": "four-digit", "target": 3774, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 4 + 6 + 10 * 13 * (6 + 11 + 12) - 8", "solution_steps": ["11 + 12 = 23", "6 + 23 = 29", "13 × 29 = 377", "10 × 377 = 3770", "3770 − 8 = 3762", "6 + 3762 = 3768", "4 + 3768 = 3772", "2 + 3772 = 3774"], "key": "four-digit-3774-J♦2♣K♣4♠6♦6♣8♦10♥Q♦"} {"id": "train-four-digit-0440", "level": "four-digit", "target": 8872, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 5 + 9 + 6 * 9 * (7 + 13 * 13 - 12)", "solution_steps": ["13 × 13 = 169", "169 − 12 = 157", "7 + 157 = 164", "9 × 164 = 1476", "6 × 1476 = 8856", "9 + 8856 = 8865", "5 + 8865 = 8870", "2 + 8870 = 8872"], "key": "four-digit-8872-7♥6♥9♦5♦K♣K♦Q♠9♣2♦"} {"id": "train-four-digit-0441", "level": "four-digit", "target": 1792, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 4 + 9 + 6 * 9 * 11 * 12 / 4 - 4", "solution_steps": ["11 × 12 = 132", "9 × 132 = 1188", "6 × 1188 = 7128", "7128 ÷ 4 = 1782", "9 + 1782 = 1791", "1791 − 4 = 1787", "4 + 1787 = 1791", "1 + 1791 = 1792"], "key": "four-digit-1792-4♣9♥6♥4♦A♣Q♣9♦4♠J♣"} {"id": "train-four-digit-0442", "level": "four-digit", "target": 6280, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 3 + 4 + 7 * 8 * (5 + 7 + 10 * 10)", "solution_steps": ["10 × 10 = 100", "7 + 100 = 107", "5 + 107 = 112", "8 × 112 = 896", "7 × 896 = 6272", "4 + 6272 = 6276", "3 + 6276 = 6279", "1 + 6279 = 6280"], "key": "four-digit-6280-7♠3♥10♣4♦8♣10♥A♠7♦5♣"} {"id": "train-four-digit-0443", "level": "four-digit", "target": 3207, "cards": [{"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 2 + 10 * (7 * (11 + 4 * 9) - 8) - 7", "solution_steps": ["4 × 9 = 36", "11 + 36 = 47", "7 × 47 = 329", "329 − 8 = 321", "10 × 321 = 3210", "3210 − 7 = 3203", "2 + 3203 = 3205", "2 + 3205 = 3207"], "key": "four-digit-3207-9♥8♣2♣4♥10♦7♠2♥J♣7♦"} {"id": "train-four-digit-0444", "level": "four-digit", "target": 7484, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 7 * (1 + (8 - 2) * (2 + 4 * 4 * 11))", "solution_steps": ["8 − 2 = 6", "4 × 11 = 44", "4 × 44 = 176", "2 + 176 = 178", "6 × 178 = 1068", "1 + 1068 = 1069", "7 × 1069 = 7483", "1 + 7483 = 7484"], "key": "four-digit-7484-A♥A♦8♦J♠2♣4♥4♣7♦2♦"} {"id": "train-four-digit-0445", "level": "four-digit", "target": 9650, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 2 + 8 + 3 * 7 * 9 * (6 * 10 - 9)", "solution_steps": ["6 × 10 = 60", "60 − 9 = 51", "9 × 51 = 459", "7 × 459 = 3213", "3 × 3213 = 9639", "8 + 9639 = 9647", "2 + 9647 = 9649", "1 + 9649 = 9650"], "key": "four-digit-9650-9♠7♥3♣A♦2♠10♠8♣9♥6♥"} {"id": "train-four-digit-0446", "level": "four-digit", "target": 3395, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + 4 + 4 * 7 * 11 * (9 + 12 / 6)", "solution_steps": ["12 ÷ 6 = 2", "9 + 2 = 11", "11 × 11 = 121", "7 × 121 = 847", "4 × 847 = 3388", "4 + 3388 = 3392", "2 + 3392 = 3394", "1 + 3394 = 3395"], "key": "four-digit-3395-7♣6♠A♥J♣2♥4♣9♠4♦Q♠"} {"id": "train-four-digit-0447", "level": "four-digit", "target": 7905, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 3 + 10 * (4 + 3 * (10 + 12 * (9 + 12)))", "solution_steps": ["9 + 12 = 21", "12 × 21 = 252", "10 + 252 = 262", "3 × 262 = 786", "4 + 786 = 790", "10 × 790 = 7900", "3 + 7900 = 7903", "2 + 7903 = 7905"], "key": "four-digit-7905-10♦3♥4♦Q♥2♥Q♦10♣3♦9♥"} {"id": "train-four-digit-0448", "level": "four-digit", "target": 8274, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 4 + 9 + 5 * (7 + 7) * (8 + 10 * 11)", "solution_steps": ["7 + 7 = 14", "10 × 11 = 110", "8 + 110 = 118", "14 × 118 = 1652", "5 × 1652 = 8260", "9 + 8260 = 8269", "4 + 8269 = 8273", "1 + 8273 = 8274"], "key": "four-digit-8274-J♣8♠7♣5♦10♥A♦4♣7♠9♥"} {"id": "train-four-digit-0449", "level": "four-digit", "target": 9385, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 8 * (10 + 13 + 8 * 12 * 12) - 11 - 6", "solution_steps": ["12 × 12 = 144", "8 × 144 = 1152", "13 + 1152 = 1165", "10 + 1165 = 1175", "8 × 1175 = 9400", "9400 − 11 = 9389", "9389 − 6 = 9383", "2 + 9383 = 9385"], "key": "four-digit-9385-Q♠8♥2♠10♠8♣J♣Q♣6♣K♠"} {"id": "train-four-digit-0450", "level": "four-digit", "target": 4624, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 3 + 3 + 5 * 11 * (4 + 8 * 10) - 4", "solution_steps": ["8 × 10 = 80", "4 + 80 = 84", "11 × 84 = 924", "5 × 924 = 4620", "4620 − 4 = 4616", "3 + 4616 = 4619", "3 + 4619 = 4622", "2 + 4622 = 4624"], "key": "four-digit-4624-J♣4♠8♦2♦5♠10♠3♠3♣4♣"} {"id": "train-four-digit-0451", "level": "four-digit", "target": 6673, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 2 + 5 + 4 * 12 * (9 + 10 * 13) - 7", "solution_steps": ["10 × 13 = 130", "9 + 130 = 139", "12 × 139 = 1668", "4 × 1668 = 6672", "6672 − 7 = 6665", "5 + 6665 = 6670", "2 + 6670 = 6672", "1 + 6672 = 6673"], "key": "four-digit-6673-A♠10♣K♣Q♥7♣4♦5♣9♣2♣"} {"id": "train-four-digit-0452", "level": "four-digit", "target": 3270, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 3 + 8 * ((6 + 13) * (10 + 12) - 10)", "solution_steps": ["6 + 13 = 19", "10 + 12 = 22", "19 × 22 = 418", "418 − 10 = 408", "8 × 408 = 3264", "3 + 3264 = 3267", "2 + 3267 = 3269", "1 + 3269 = 3270"], "key": "four-digit-3270-K♦6♣8♠10♣2♣Q♦3♥10♥A♣"} {"id": "train-four-digit-0453", "level": "four-digit", "target": 5244, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 4 + 6 + 6 + 5 * 11 * (10 * 10 - 5)", "solution_steps": ["10 × 10 = 100", "100 − 5 = 95", "11 × 95 = 1045", "5 × 1045 = 5225", "6 + 5225 = 5231", "6 + 5231 = 5237", "4 + 5237 = 5241", "3 + 5241 = 5244"], "key": "four-digit-5244-J♠4♣10♣6♠5♦3♣6♥5♠10♥"} {"id": "train-four-digit-0454", "level": "four-digit", "target": 3553, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 2 + 4 + 10 + 8 * 13 * (7 + 3 * 9)", "solution_steps": ["3 × 9 = 27", "7 + 27 = 34", "13 × 34 = 442", "8 × 442 = 3536", "10 + 3536 = 3546", "4 + 3546 = 3550", "2 + 3550 = 3552", "1 + 3552 = 3553"], "key": "four-digit-3553-K♣4♣8♦9♦A♥10♣2♠3♣7♣"} {"id": "train-four-digit-0455", "level": "four-digit", "target": 1788, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 2 + 5 * (6 + 9 * (7 + 8 * (11 - 7)))", "solution_steps": ["11 − 7 = 4", "8 × 4 = 32", "7 + 32 = 39", "9 × 39 = 351", "6 + 351 = 357", "5 × 357 = 1785", "2 + 1785 = 1787", "1 + 1787 = 1788"], "key": "four-digit-1788-7♠7♣5♠J♠6♦A♣8♠2♣9♥"} {"id": "train-four-digit-0456", "level": "four-digit", "target": 4853, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 3 * 4 * 5 * 9 * (3 + 6) - 5 - 3", "solution_steps": ["3 + 6 = 9", "9 × 9 = 81", "5 × 81 = 405", "4 × 405 = 1620", "3 × 1620 = 4860", "4860 − 5 = 4855", "4855 − 3 = 4852", "1 + 4852 = 4853"], "key": "four-digit-4853-3♠5♦3♣4♠6♠5♣9♠A♥3♥"} {"id": "train-four-digit-0457", "level": "four-digit", "target": 7131, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 2 + 4 * (8 + 10) * (8 + 13 * (2 + 5))", "solution_steps": ["8 + 10 = 18", "2 + 5 = 7", "13 × 7 = 91", "8 + 91 = 99", "18 × 99 = 1782", "4 × 1782 = 7128", "2 + 7128 = 7130", "1 + 7130 = 7131"], "key": "four-digit-7131-5♣2♠10♦K♥8♣2♦4♥A♣8♠"} {"id": "train-four-digit-0458", "level": "four-digit", "target": 3730, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 2 + 7 + 5 * 8 * (12 + 9 * 10 - 9)", "solution_steps": ["9 × 10 = 90", "12 + 90 = 102", "102 − 9 = 93", "8 × 93 = 744", "5 × 744 = 3720", "7 + 3720 = 3727", "2 + 3727 = 3729", "1 + 3729 = 3730"], "key": "four-digit-3730-5♠7♣Q♣8♠10♥2♠A♦9♣9♥"} {"id": "train-four-digit-0459", "level": "four-digit", "target": 2965, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 + 2 + 10 * (6 * 6 + 2 * 10 * 13)", "solution_steps": ["6 × 6 = 36", "10 × 13 = 130", "2 × 130 = 260", "36 + 260 = 296", "10 × 296 = 2960", "2 + 2960 = 2962", "2 + 2962 = 2964", "1 + 2964 = 2965"], "key": "four-digit-2965-6♠A♣10♥K♠2♦2♣10♦6♣2♥"} {"id": "train-four-digit-0460", "level": "four-digit", "target": 3074, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 + 5 + 6 + (10 + 13) * (7 * (8 + 12) - 7)", "solution_steps": ["10 + 13 = 23", "8 + 12 = 20", "7 × 20 = 140", "140 − 7 = 133", "23 × 133 = 3059", "6 + 3059 = 3065", "5 + 3065 = 3070", "4 + 3070 = 3074"], "key": "four-digit-3074-K♣7♣6♥8♠5♠Q♠7♠10♦4♣"} {"id": "train-four-digit-0461", "level": "four-digit", "target": 9515, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 2 + 13 * (11 + 7 * (7 + 8 * 12)) - 5", "solution_steps": ["8 × 12 = 96", "7 + 96 = 103", "7 × 103 = 721", "11 + 721 = 732", "13 × 732 = 9516", "9516 − 5 = 9511", "2 + 9511 = 9513", "2 + 9513 = 9515"], "key": "four-digit-9515-8♦J♦7♣2♣Q♣7♠2♦5♦K♦"} {"id": "train-four-digit-0462", "level": "four-digit", "target": 1527, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "5 + 5 + 7 + 10 * (10 * (12 + 13) - 9 * 11)", "solution_steps": ["12 + 13 = 25", "10 × 25 = 250", "9 × 11 = 99", "250 − 99 = 151", "10 × 151 = 1510", "7 + 1510 = 1517", "5 + 1517 = 1522", "5 + 1522 = 1527"], "key": "four-digit-1527-K♥7♣10♥5♠5♦9♦Q♠J♥10♣"} {"id": "train-four-digit-0463", "level": "four-digit", "target": 2041, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + 5 * 8 * (7 * 10 - 11 - 8) - 3", "solution_steps": ["7 × 10 = 70", "70 − 11 = 59", "59 − 8 = 51", "8 × 51 = 408", "5 × 408 = 2040", "2040 − 3 = 2037", "2 + 2037 = 2039", "2 + 2039 = 2041"], "key": "four-digit-2041-2♦5♥10♠3♦8♠7♥J♥8♦2♥"} {"id": "train-four-digit-0464", "level": "four-digit", "target": 7497, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "3 + 4 + 10 * (8 + 10 * (9 * 9 - 6) - 9)", "solution_steps": ["9 × 9 = 81", "81 − 6 = 75", "10 × 75 = 750", "750 − 9 = 741", "8 + 741 = 749", "10 × 749 = 7490", "4 + 7490 = 7494", "3 + 7494 = 7497"], "key": "four-digit-7497-9♣9♠3♠6♣4♦8♣10♣9♦10♦"} {"id": "train-four-digit-0465", "level": "four-digit", "target": 1863, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 3 + 3 + 10 * (10 * (9 + 10) - 4) - 4", "solution_steps": ["9 + 10 = 19", "10 × 19 = 190", "190 − 4 = 186", "10 × 186 = 1860", "1860 − 4 = 1856", "3 + 1856 = 1859", "3 + 1859 = 1862", "1 + 1862 = 1863"], "key": "four-digit-1863-10♣3♦4♣3♣10♦10♥4♠9♥A♣"} {"id": "train-four-digit-0466", "level": "four-digit", "target": 2188, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 4 + 9 * (8 * (10 + 10 + 12) - 13) - 4", "solution_steps": ["10 + 12 = 22", "10 + 22 = 32", "8 × 32 = 256", "256 − 13 = 243", "9 × 243 = 2187", "2187 − 4 = 2183", "4 + 2183 = 2187", "1 + 2187 = 2188"], "key": "four-digit-2188-K♣9♦8♥4♣10♠Q♥A♠10♦4♠"} {"id": "train-four-digit-0467", "level": "four-digit", "target": 4748, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + 3 + 11 * (5 + 13) * (12 + 12) - 10", "solution_steps": ["5 + 13 = 18", "12 + 12 = 24", "18 × 24 = 432", "11 × 432 = 4752", "4752 − 10 = 4742", "3 + 4742 = 4745", "2 + 4745 = 4747", "1 + 4747 = 4748"], "key": "four-digit-4748-3♥Q♣5♠10♣A♠2♦J♥K♦Q♠"} {"id": "train-four-digit-0468", "level": "four-digit", "target": 7232, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 3 + 13 * (6 * (9 + 6 * (2 + 12)) - 2)", "solution_steps": ["2 + 12 = 14", "6 × 14 = 84", "9 + 84 = 93", "6 × 93 = 558", "558 − 2 = 556", "13 × 556 = 7228", "3 + 7228 = 7231", "1 + 7231 = 7232"], "key": "four-digit-7232-3♠6♠A♠9♥K♥2♦Q♣6♣2♥"} {"id": "train-four-digit-0469", "level": "four-digit", "target": 1881, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "2 + 3 + 4 + 8 * 9 * (5 + 7 * (13 - 10))", "solution_steps": ["13 − 10 = 3", "7 × 3 = 21", "5 + 21 = 26", "9 × 26 = 234", "8 × 234 = 1872", "4 + 1872 = 1876", "3 + 1876 = 1879", "2 + 1879 = 1881"], "key": "four-digit-1881-9♣3♣10♥K♣7♠2♣4♦8♠5♣"} {"id": "train-four-digit-0470", "level": "four-digit", "target": 3067, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 5 + (5 * 10 - 8) * (10 + 7 * 9) - 5", "solution_steps": ["5 × 10 = 50", "50 − 8 = 42", "7 × 9 = 63", "10 + 63 = 73", "42 × 73 = 3066", "3066 − 5 = 3061", "5 + 3061 = 3066", "1 + 3066 = 3067"], "key": "four-digit-3067-5♣5♦5♥10♦10♠A♠9♣8♥7♥"} {"id": "train-four-digit-0471", "level": "four-digit", "target": 4033, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 1 + 8 + 3 * (8 * 8 * (8 + 13) - 3)", "solution_steps": ["8 + 13 = 21", "8 × 21 = 168", "8 × 168 = 1344", "1344 − 3 = 1341", "3 × 1341 = 4023", "8 + 4023 = 4031", "1 + 4031 = 4032", "1 + 4032 = 4033"], "key": "four-digit-4033-A♣8♠A♠8♣3♣3♦K♣8♥8♦"} {"id": "train-four-digit-0472", "level": "four-digit", "target": 3025, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 3 + 3 + 5 + 12 + 5 * 6 * 10 * 10", "solution_steps": ["10 × 10 = 100", "6 × 100 = 600", "5 × 600 = 3000", "12 + 3000 = 3012", "5 + 3012 = 3017", "3 + 3017 = 3020", "3 + 3020 = 3023", "2 + 3023 = 3025"], "key": "four-digit-3025-5♣6♣Q♠2♣3♦3♥5♠10♠10♦"} {"id": "train-four-digit-0473", "level": "four-digit", "target": 1517, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 3 + 3 + 13 + 8 * (5 + 13 * (5 + 9))", "solution_steps": ["5 + 9 = 14", "13 × 14 = 182", "5 + 182 = 187", "8 × 187 = 1496", "13 + 1496 = 1509", "3 + 1509 = 1512", "3 + 1512 = 1515", "2 + 1515 = 1517"], "key": "four-digit-1517-2♣9♥5♥5♠8♣3♠K♦K♣3♥"} {"id": "train-four-digit-0474", "level": "four-digit", "target": 5690, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 9 + (2 * 11 - 2) * (4 * 6 * 12 - 4)", "solution_steps": ["2 × 11 = 22", "22 − 2 = 20", "6 × 12 = 72", "4 × 72 = 288", "288 − 4 = 284", "20 × 284 = 5680", "9 + 5680 = 5689", "1 + 5689 = 5690"], "key": "four-digit-5690-6♣2♣A♥Q♥2♠J♥4♥4♦9♥"} {"id": "train-four-digit-0475", "level": "four-digit", "target": 8480, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 1 + 3 * 6 * (5 * 9 * 11 - 3 * 8)", "solution_steps": ["9 × 11 = 99", "5 × 99 = 495", "3 × 8 = 24", "495 − 24 = 471", "6 × 471 = 2826", "3 × 2826 = 8478", "1 + 8478 = 8479", "1 + 8479 = 8480"], "key": "four-digit-8480-6♦5♥J♣3♣9♦A♠3♠A♥8♦"} {"id": "train-four-digit-0476", "level": "four-digit", "target": 4653, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "6 + 6 + 8 + 13 + 11 * (8 + 13) * (9 + 11)", "solution_steps": ["8 + 13 = 21", "9 + 11 = 20", "21 × 20 = 420", "11 × 420 = 4620", "13 + 4620 = 4633", "8 + 4633 = 4641", "6 + 4641 = 4647", "6 + 4647 = 4653"], "key": "four-digit-4653-9♠8♣K♠6♠8♥K♥6♥J♦J♠"} {"id": "train-four-digit-0477", "level": "four-digit", "target": 9404, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 3 + 4 * 7 * 8 * (6 + 4 * 9) - 8", "solution_steps": ["4 × 9 = 36", "6 + 36 = 42", "8 × 42 = 336", "7 × 336 = 2352", "4 × 2352 = 9408", "9408 − 8 = 9400", "3 + 9400 = 9403", "1 + 9403 = 9404"], "key": "four-digit-9404-7♦4♠4♥A♥9♠6♥3♣8♣8♥"} {"id": "train-four-digit-0478", "level": "four-digit", "target": 6695, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + (13 + 13) * (12 * (10 + 12) - 6) - 11 - 4", "solution_steps": ["13 + 13 = 26", "10 + 12 = 22", "12 × 22 = 264", "264 − 6 = 258", "26 × 258 = 6708", "6708 − 11 = 6697", "6697 − 4 = 6693", "2 + 6693 = 6695"], "key": "four-digit-6695-J♥Q♣K♦Q♠K♥6♦2♠10♠4♦"} {"id": "train-four-digit-0479", "level": "four-digit", "target": 4291, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 3 + 6 + 11 + 10 * (6 * 6 * 12 - 5)", "solution_steps": ["6 × 12 = 72", "6 × 72 = 432", "432 − 5 = 427", "10 × 427 = 4270", "11 + 4270 = 4281", "6 + 4281 = 4287", "3 + 4287 = 4290", "1 + 4290 = 4291"], "key": "four-digit-4291-A♣3♦6♦5♣6♣10♣6♥Q♠J♣"} {"id": "train-four-digit-0480", "level": "four-digit", "target": 4856, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 4 + 12 * (13 + 7 * 7 * 8) - 6 - 4", "solution_steps": ["7 × 8 = 56", "7 × 56 = 392", "13 + 392 = 405", "12 × 405 = 4860", "4860 − 6 = 4854", "4854 − 4 = 4850", "4 + 4850 = 4854", "2 + 4854 = 4856"], "key": "four-digit-4856-7♠K♥6♥Q♥7♦4♥8♠4♣2♣"} {"id": "train-four-digit-0481", "level": "four-digit", "target": 7234, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 + 5 / 5 + 4 * 13 * (12 * 12 - 5)", "solution_steps": ["5 ÷ 5 = 1", "12 × 12 = 144", "144 − 5 = 139", "13 × 139 = 1807", "4 × 1807 = 7228", "1 + 7228 = 7229", "3 + 7229 = 7232", "2 + 7232 = 7234"], "key": "four-digit-7234-2♠5♠5♦Q♦Q♣K♦5♥4♣3♦"} {"id": "train-four-digit-0482", "level": "four-digit", "target": 2404, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + (2 + 4 + 6 * 8 * (12 + 8 * 11)) / 2", "solution_steps": ["8 × 11 = 88", "12 + 88 = 100", "8 × 100 = 800", "6 × 800 = 4800", "4 + 4800 = 4804", "2 + 4804 = 4806", "4806 ÷ 2 = 2403", "1 + 2403 = 2404"], "key": "four-digit-2404-2♦2♣8♦4♠6♠J♠A♥8♥Q♠"} {"id": "train-four-digit-0483", "level": "four-digit", "target": 5192, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 2 + 2 * (9 + 9 * 12 * (11 + 13) - 7)", "solution_steps": ["11 + 13 = 24", "12 × 24 = 288", "9 × 288 = 2592", "9 + 2592 = 2601", "2601 − 7 = 2594", "2 × 2594 = 5188", "2 + 5188 = 5190", "2 + 5190 = 5192"], "key": "four-digit-5192-7♠2♠Q♦2♦9♥K♠2♣J♦9♦"} {"id": "train-four-digit-0484", "level": "four-digit", "target": 5148, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 2 * 6 * (8 * (4 + 5 * 10) - 3) - 1", "solution_steps": ["5 × 10 = 50", "4 + 50 = 54", "8 × 54 = 432", "432 − 3 = 429", "6 × 429 = 2574", "2 × 2574 = 5148", "5148 − 1 = 5147", "1 + 5147 = 5148"], "key": "four-digit-5148-5♠A♣3♣2♠A♠6♠4♥10♠8♦"} {"id": "train-four-digit-0485", "level": "four-digit", "target": 8843, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 11 * (12 + 12 * (8 * 9 - 6)) - 3", "solution_steps": ["8 × 9 = 72", "72 − 6 = 66", "12 × 66 = 792", "12 + 792 = 804", "11 × 804 = 8844", "8844 − 3 = 8841", "1 + 8841 = 8842", "1 + 8842 = 8843"], "key": "four-digit-8843-9♠6♦3♠Q♦Q♣J♦8♥A♣A♠"} {"id": "train-four-digit-0486", "level": "four-digit", "target": 6128, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "3 + 5 * (7 + 10 * (10 * 13 - 8)) - 6 - 4", "solution_steps": ["10 × 13 = 130", "130 − 8 = 122", "10 × 122 = 1220", "7 + 1220 = 1227", "5 × 1227 = 6135", "6135 − 6 = 6129", "6129 − 4 = 6125", "3 + 6125 = 6128"], "key": "four-digit-6128-5♦4♣10♣7♦10♠K♦3♣8♣6♠"} {"id": "train-four-digit-0487", "level": "four-digit", "target": 9064, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 2 + 6 * 7 * 8 * (7 + 10 + 10) - 11", "solution_steps": ["10 + 10 = 20", "7 + 20 = 27", "8 × 27 = 216", "7 × 216 = 1512", "6 × 1512 = 9072", "9072 − 11 = 9061", "2 + 9061 = 9063", "1 + 9063 = 9064"], "key": "four-digit-9064-J♦6♦2♠8♥7♦10♣A♣7♠10♦"} {"id": "train-four-digit-0488", "level": "four-digit", "target": 8363, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 3 * 9 * 10 * (3 * 12 - 5) - 6 - 2", "solution_steps": ["3 × 12 = 36", "36 − 5 = 31", "10 × 31 = 310", "9 × 310 = 2790", "3 × 2790 = 8370", "8370 − 6 = 8364", "8364 − 2 = 8362", "1 + 8362 = 8363"], "key": "four-digit-8363-3♦6♥2♥9♦Q♦A♦10♣3♠5♣"} {"id": "train-four-digit-0489", "level": "four-digit", "target": 1276, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 2 + 3 + 10 * (7 * (4 + 7 + 8) - 6)", "solution_steps": ["7 + 8 = 15", "4 + 15 = 19", "7 × 19 = 133", "133 − 6 = 127", "10 × 127 = 1270", "3 + 1270 = 1273", "2 + 1273 = 1275", "1 + 1275 = 1276"], "key": "four-digit-1276-7♦4♣3♠2♥A♦10♣8♦6♦7♥"} {"id": "train-four-digit-0490", "level": "four-digit", "target": 2583, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 2 + 2 + 9 + 11 * 13 * (6 + 12) - 5", "solution_steps": ["6 + 12 = 18", "13 × 18 = 234", "11 × 234 = 2574", "9 + 2574 = 2583", "2583 − 5 = 2578", "2 + 2578 = 2580", "2 + 2580 = 2582", "1 + 2582 = 2583"], "key": "four-digit-2583-5♥K♠6♠J♣2♠2♣9♣Q♠A♠"} {"id": "train-four-digit-0491", "level": "four-digit", "target": 8221, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "5 + 7 + 7 * (13 + 9 * 10 * 13) - 8 * 9", "solution_steps": ["10 × 13 = 130", "9 × 130 = 1170", "13 + 1170 = 1183", "7 × 1183 = 8281", "8 × 9 = 72", "8281 − 72 = 8209", "7 + 8209 = 8216", "5 + 8216 = 8221"], "key": "four-digit-8221-K♣9♥5♥8♠10♥7♠K♦9♠7♥"} {"id": "train-four-digit-0492", "level": "four-digit", "target": 4212, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 6 + 12 * (8 + 8) * (9 + 13) - 13 - 7", "solution_steps": ["8 + 8 = 16", "9 + 13 = 22", "16 × 22 = 352", "12 × 352 = 4224", "4224 − 13 = 4211", "4211 − 7 = 4204", "6 + 4204 = 4210", "2 + 4210 = 4212"], "key": "four-digit-4212-9♦Q♣7♣8♣6♣2♥K♠8♦K♣"} {"id": "train-four-digit-0493", "level": "four-digit", "target": 5344, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 2 + 3 + 9 + 6 * 6 * (12 * 13 - 8)", "solution_steps": ["12 × 13 = 156", "156 − 8 = 148", "6 × 148 = 888", "6 × 888 = 5328", "9 + 5328 = 5337", "3 + 5337 = 5340", "2 + 5340 = 5342", "2 + 5342 = 5344"], "key": "four-digit-5344-K♣2♣3♥6♦2♠9♠Q♥8♣6♥"} {"id": "train-four-digit-0494", "level": "four-digit", "target": 6490, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 6 + 8 * 9 * (6 + 12) * (13 - 8)", "solution_steps": ["6 + 12 = 18", "13 − 8 = 5", "18 × 5 = 90", "9 × 90 = 810", "8 × 810 = 6480", "6 + 6480 = 6486", "3 + 6486 = 6489", "1 + 6489 = 6490"], "key": "four-digit-6490-8♥Q♦6♠9♦6♥8♠K♣A♣3♠"} {"id": "train-four-digit-0495", "level": "four-digit", "target": 5747, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + 11 + 7 * 9 * 13 * (6 + 12 / 12)", "solution_steps": ["12 ÷ 12 = 1", "6 + 1 = 7", "13 × 7 = 91", "9 × 91 = 819", "7 × 819 = 5733", "11 + 5733 = 5744", "2 + 5744 = 5746", "1 + 5746 = 5747"], "key": "four-digit-5747-K♦7♥Q♣A♣9♥J♦6♥2♣Q♠"} {"id": "train-four-digit-0496", "level": "four-digit", "target": 2025, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 6 + 6 + 9 + 11 * (6 * 13 + 8 * 13)", "solution_steps": ["6 × 13 = 78", "8 × 13 = 104", "78 + 104 = 182", "11 × 182 = 2002", "9 + 2002 = 2011", "6 + 2011 = 2017", "6 + 2017 = 2023", "2 + 2023 = 2025"], "key": "four-digit-2025-K♦8♥9♦6♠K♥6♥6♦J♥2♠"} {"id": "train-four-digit-0497", "level": "four-digit", "target": 6336, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 3 + 4 + 6 * 8 * 11 * 12 - 5 - 3", "solution_steps": ["11 × 12 = 132", "8 × 132 = 1056", "6 × 1056 = 6336", "6336 − 5 = 6331", "4 + 6331 = 6335", "6335 − 3 = 6332", "3 + 6332 = 6335", "1 + 6335 = 6336"], "key": "four-digit-6336-8♠A♦4♣Q♠J♦3♠5♥3♦6♦"} {"id": "train-four-digit-0498", "level": "four-digit", "target": 6623, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 5 + (5 + 11) * (7 + 11) * (10 + 13) - 7", "solution_steps": ["5 + 11 = 16", "7 + 11 = 18", "10 + 13 = 23", "18 × 23 = 414", "16 × 414 = 6624", "6624 − 7 = 6617", "5 + 6617 = 6622", "1 + 6622 = 6623"], "key": "four-digit-6623-7♥7♣10♠J♥5♣5♦A♦K♦J♣"} {"id": "train-four-digit-0499", "level": "four-digit", "target": 9877, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 2 + 10 + 6 * 12 * (2 + 9 * (3 + 12))", "solution_steps": ["3 + 12 = 15", "9 × 15 = 135", "2 + 135 = 137", "12 × 137 = 1644", "6 × 1644 = 9864", "10 + 9864 = 9874", "2 + 9874 = 9876", "1 + 9876 = 9877"], "key": "four-digit-9877-2♦Q♥2♠Q♣3♦10♠9♠A♣6♠"} {"id": "train-four-digit-0500", "level": "four-digit", "target": 1224, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 4 + 5 + 8 + 6 * (10 * (9 + 12) - 9)", "solution_steps": ["9 + 12 = 21", "10 × 21 = 210", "210 − 9 = 201", "6 × 201 = 1206", "8 + 1206 = 1214", "5 + 1214 = 1219", "4 + 1219 = 1223", "1 + 1223 = 1224"], "key": "four-digit-1224-A♠4♠9♥Q♦8♣9♣10♦5♣6♣"} {"id": "train-four-digit-0501", "level": "four-digit", "target": 6626, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 3 + 8 + 12 * 12 * (5 * 11 - 9) - 10", "solution_steps": ["5 × 11 = 55", "55 − 9 = 46", "12 × 46 = 552", "12 × 552 = 6624", "6624 − 10 = 6614", "8 + 6614 = 6622", "3 + 6622 = 6625", "1 + 6625 = 6626"], "key": "four-digit-6626-8♥Q♦10♠Q♥A♥9♥5♠J♥3♥"} {"id": "train-four-digit-0502", "level": "four-digit", "target": 8399, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 3 + 7 + 6 * (4 + 9 * 12 * 13 - 10)", "solution_steps": ["12 × 13 = 156", "9 × 156 = 1404", "1404 − 10 = 1394", "4 + 1394 = 1398", "6 × 1398 = 8388", "7 + 8388 = 8395", "3 + 8395 = 8398", "1 + 8398 = 8399"], "key": "four-digit-8399-4♠K♦Q♥A♦9♣6♣10♠3♠7♦"} {"id": "train-four-digit-0503", "level": "four-digit", "target": 1626, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 3 + 10 * (11 * (11 + 13 - 9) - 3)", "solution_steps": ["11 + 13 = 24", "24 − 9 = 15", "11 × 15 = 165", "165 − 3 = 162", "10 × 162 = 1620", "3 + 1620 = 1623", "2 + 1623 = 1625", "1 + 1625 = 1626"], "key": "four-digit-1626-J♥A♥3♦10♣9♣K♠3♣J♣2♠"} {"id": "train-four-digit-0504", "level": "four-digit", "target": 3107, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 4 + 6 + 5 * (7 + 7 + 5 * 11 * 11)", "solution_steps": ["11 × 11 = 121", "5 × 121 = 605", "7 + 605 = 612", "7 + 612 = 619", "5 × 619 = 3095", "6 + 3095 = 3101", "4 + 3101 = 3105", "2 + 3105 = 3107"], "key": "four-digit-3107-J♠4♣7♥5♦5♠6♣J♦7♣2♥"} {"id": "train-four-digit-0505", "level": "four-digit", "target": 8659, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 3 + 6 + 8 * (10 + 13) * (5 * 11 - 8)", "solution_steps": ["10 + 13 = 23", "5 × 11 = 55", "55 − 8 = 47", "23 × 47 = 1081", "8 × 1081 = 8648", "6 + 8648 = 8654", "3 + 8654 = 8657", "2 + 8657 = 8659"], "key": "four-digit-8659-K♦10♦8♣2♠5♠8♥6♥3♣J♠"} {"id": "train-four-digit-0506", "level": "four-digit", "target": 6579, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 2 + 3 * (7 + 9) * (4 + 13 + 10 * 12)", "solution_steps": ["7 + 9 = 16", "10 × 12 = 120", "13 + 120 = 133", "4 + 133 = 137", "16 × 137 = 2192", "3 × 2192 = 6576", "2 + 6576 = 6578", "1 + 6578 = 6579"], "key": "four-digit-6579-A♦7♦10♥Q♦2♣4♠K♥9♥3♦"} {"id": "train-four-digit-0507", "level": "four-digit", "target": 9266, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 2 + (4 + 7) * (2 + 12 * (5 + 5 * 13))", "solution_steps": ["4 + 7 = 11", "5 × 13 = 65", "5 + 65 = 70", "12 × 70 = 840", "2 + 840 = 842", "11 × 842 = 9262", "2 + 9262 = 9264", "2 + 9264 = 9266"], "key": "four-digit-9266-K♦2♥5♣Q♥2♣4♥2♠5♦7♠"} {"id": "train-four-digit-0508", "level": "four-digit", "target": 7566, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 3 + 5 + 6 * 13 * (9 + 8 * 11) - 10", "solution_steps": ["8 × 11 = 88", "9 + 88 = 97", "13 × 97 = 1261", "6 × 1261 = 7566", "7566 − 10 = 7556", "5 + 7556 = 7561", "3 + 7561 = 7564", "2 + 7564 = 7566"], "key": "four-digit-7566-6♠8♠K♥2♠J♠9♣3♠10♣5♥"} {"id": "train-four-digit-0509", "level": "four-digit", "target": 6661, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "4 + 6 * 8 * (5 + 12 * 12 - 10) - 11 - 4", "solution_steps": ["12 × 12 = 144", "144 − 10 = 134", "5 + 134 = 139", "8 × 139 = 1112", "6 × 1112 = 6672", "6672 − 11 = 6661", "6661 − 4 = 6657", "4 + 6657 = 6661"], "key": "four-digit-6661-6♠4♦J♠Q♥Q♣5♠10♦8♥4♣"} {"id": "train-four-digit-0510", "level": "four-digit", "target": 4089, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 5 + 11 * (6 * 6 * 11 - 13) - 10 * 13", "solution_steps": ["6 × 11 = 66", "6 × 66 = 396", "396 − 13 = 383", "11 × 383 = 4213", "10 × 13 = 130", "4213 − 130 = 4083", "5 + 4083 = 4088", "1 + 4088 = 4089"], "key": "four-digit-4089-A♣J♥J♦K♠6♥K♦10♥5♦6♣"} {"id": "train-four-digit-0511", "level": "four-digit", "target": 4159, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 3 + 5 + 8 + 10 * (6 + 12) * (11 + 12)", "solution_steps": ["6 + 12 = 18", "11 + 12 = 23", "18 × 23 = 414", "10 × 414 = 4140", "8 + 4140 = 4148", "5 + 4148 = 4153", "3 + 4153 = 4156", "3 + 4156 = 4159"], "key": "four-digit-4159-6♥3♦5♦Q♠8♠10♥J♦Q♣3♣"} {"id": "train-four-digit-0512", "level": "four-digit", "target": 8514, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 2 + 9 * (13 * (13 + 5 * 12) - 3) - 3", "solution_steps": ["5 × 12 = 60", "13 + 60 = 73", "13 × 73 = 949", "949 − 3 = 946", "9 × 946 = 8514", "8514 − 3 = 8511", "2 + 8511 = 8513", "1 + 8513 = 8514"], "key": "four-digit-8514-A♠Q♣2♦K♠K♥3♠3♣5♥9♦"} {"id": "train-four-digit-0513", "level": "four-digit", "target": 1045, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 1 + 2 + 4 + 5 * 11 * (9 + 10) - 8", "solution_steps": ["9 + 10 = 19", "11 × 19 = 209", "5 × 209 = 1045", "1045 − 8 = 1037", "4 + 1037 = 1041", "2 + 1041 = 1043", "1 + 1043 = 1044", "1 + 1044 = 1045"], "key": "four-digit-1045-10♠J♠A♦4♥A♠5♣8♣9♣2♣"} {"id": "train-four-digit-0514", "level": "four-digit", "target": 1382, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 3 + 4 + 4 + 5 + 11 * (11 * 12 - 8)", "solution_steps": ["11 × 12 = 132", "132 − 8 = 124", "11 × 124 = 1364", "5 + 1364 = 1369", "4 + 1369 = 1373", "4 + 1373 = 1377", "3 + 1377 = 1380", "2 + 1380 = 1382"], "key": "four-digit-1382-4♦J♠8♠J♥3♣Q♥5♦2♠4♣"} {"id": "train-four-digit-0515", "level": "four-digit", "target": 2537, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 3 + 12 * (6 * (9 + 13 * 13) - 13) / 5", "solution_steps": ["13 × 13 = 169", "9 + 169 = 178", "6 × 178 = 1068", "1068 − 13 = 1055", "12 × 1055 = 12660", "12660 ÷ 5 = 2532", "3 + 2532 = 2535", "2 + 2535 = 2537"], "key": "four-digit-2537-6♥9♥2♣K♣5♦K♦K♥3♥Q♠"} {"id": "train-four-digit-0516", "level": "four-digit", "target": 2990, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 2 + (3 + 4) * (11 + 4 * 8 * 13) - 2", "solution_steps": ["3 + 4 = 7", "8 × 13 = 104", "4 × 104 = 416", "11 + 416 = 427", "7 × 427 = 2989", "2989 − 2 = 2987", "2 + 2987 = 2989", "1 + 2989 = 2990"], "key": "four-digit-2990-8♣2♣J♦4♠3♣K♦2♠A♥4♦"} {"id": "train-four-digit-0517", "level": "four-digit", "target": 8990, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 6 + 7 * (13 + 8 * (13 * 13 - 10)) - 12", "solution_steps": ["13 × 13 = 169", "169 − 10 = 159", "8 × 159 = 1272", "13 + 1272 = 1285", "7 × 1285 = 8995", "8995 − 12 = 8983", "6 + 8983 = 8989", "1 + 8989 = 8990"], "key": "four-digit-8990-K♣K♠10♥8♣K♦A♥Q♥7♥6♠"} {"id": "train-four-digit-0518", "level": "four-digit", "target": 2038, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "3 + 4 + 5 + 10 + 8 * 9 * (7 + 8 + 13)", "solution_steps": ["8 + 13 = 21", "7 + 21 = 28", "9 × 28 = 252", "8 × 252 = 2016", "10 + 2016 = 2026", "5 + 2026 = 2031", "4 + 2031 = 2035", "3 + 2035 = 2038"], "key": "four-digit-2038-7♦K♥4♠5♦8♣10♣8♦3♦9♠"} {"id": "train-four-digit-0519", "level": "four-digit", "target": 2143, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 4 + 5 + 9 * (6 + 8) * (7 + 10) - 10", "solution_steps": ["6 + 8 = 14", "7 + 10 = 17", "14 × 17 = 238", "9 × 238 = 2142", "2142 − 10 = 2132", "5 + 2132 = 2137", "4 + 2137 = 2141", "2 + 2141 = 2143"], "key": "four-digit-2143-10♥10♣7♠9♥2♣5♠8♦6♠4♦"} {"id": "train-four-digit-0520", "level": "four-digit", "target": 9241, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "2 + 3 + 6 + 5 * (13 + 13) * (8 + 7 * 9)", "solution_steps": ["13 + 13 = 26", "7 × 9 = 63", "8 + 63 = 71", "26 × 71 = 1846", "5 × 1846 = 9230", "6 + 9230 = 9236", "3 + 9236 = 9239", "2 + 9239 = 9241"], "key": "four-digit-9241-6♣9♦7♣K♥2♣3♥8♣K♣5♠"} {"id": "train-four-digit-0521", "level": "four-digit", "target": 7875, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 + 3 + 3 + 10 + 9 * (9 + 8 * 9 * 12)", "solution_steps": ["9 × 12 = 108", "8 × 108 = 864", "9 + 864 = 873", "9 × 873 = 7857", "10 + 7857 = 7867", "3 + 7867 = 7870", "3 + 7870 = 7873", "2 + 7873 = 7875"], "key": "four-digit-7875-3♣Q♣2♥9♦3♦9♠9♥8♣10♠"} {"id": "train-four-digit-0522", "level": "four-digit", "target": 8837, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 2 + 6 + 8 + 5 * 12 * (3 + 12 * 12)", "solution_steps": ["12 × 12 = 144", "3 + 144 = 147", "12 × 147 = 1764", "5 × 1764 = 8820", "8 + 8820 = 8828", "6 + 8828 = 8834", "2 + 8834 = 8836", "1 + 8836 = 8837"], "key": "four-digit-8837-Q♠3♠8♦2♥A♠Q♥6♥5♣Q♦"} {"id": "train-four-digit-0523", "level": "four-digit", "target": 8573, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "3 + 3 + 13 * (5 * 12 * (5 + 6) - 6 / 6)", "solution_steps": ["5 + 6 = 11", "12 × 11 = 132", "5 × 132 = 660", "6 ÷ 6 = 1", "660 − 1 = 659", "13 × 659 = 8567", "3 + 8567 = 8570", "3 + 8570 = 8573"], "key": "four-digit-8573-6♦5♥6♠6♥K♠3♠5♣Q♦3♥"} {"id": "train-four-digit-0524", "level": "four-digit", "target": 7016, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 2 + 5 + 5 * 9 * 12 * (6 + 7) - 12", "solution_steps": ["6 + 7 = 13", "12 × 13 = 156", "9 × 156 = 1404", "5 × 1404 = 7020", "7020 − 12 = 7008", "5 + 7008 = 7013", "2 + 7013 = 7015", "1 + 7015 = 7016"], "key": "four-digit-7016-9♠Q♥2♠A♦6♥5♣5♦Q♠7♣"} {"id": "train-four-digit-0525", "level": "four-digit", "target": 3025, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + 7 + 6 * (9 + 12) * (11 + 13) - 10", "solution_steps": ["9 + 12 = 21", "11 + 13 = 24", "21 × 24 = 504", "6 × 504 = 3024", "3024 − 10 = 3014", "7 + 3014 = 3021", "2 + 3021 = 3023", "2 + 3023 = 3025"], "key": "four-digit-3025-6♣10♦2♠Q♦J♦K♦9♦7♠2♥"} {"id": "train-four-digit-0526", "level": "four-digit", "target": 5859, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "2 + 4 + 5 + (8 * 12 - 10) * (9 * 9 - 13)", "solution_steps": ["8 × 12 = 96", "96 − 10 = 86", "9 × 9 = 81", "81 − 13 = 68", "86 × 68 = 5848", "5 + 5848 = 5853", "4 + 5853 = 5857", "2 + 5857 = 5859"], "key": "four-digit-5859-2♥9♠4♥8♣K♠10♣9♦5♥Q♠"} {"id": "train-four-digit-0527", "level": "four-digit", "target": 7858, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 6 + 10 * (8 * 10 * 10 - 12 - 2) - 9", "solution_steps": ["10 × 10 = 100", "8 × 100 = 800", "800 − 12 = 788", "788 − 2 = 786", "10 × 786 = 7860", "7860 − 9 = 7851", "6 + 7851 = 7857", "1 + 7857 = 7858"], "key": "four-digit-7858-6♦2♠A♣8♠9♥Q♦10♥10♠10♣"} {"id": "train-four-digit-0528", "level": "four-digit", "target": 4298, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "4 + 4 + 5 * (5 + 10 * (8 + 6 * 13) - 7)", "solution_steps": ["6 × 13 = 78", "8 + 78 = 86", "10 × 86 = 860", "860 − 7 = 853", "5 + 853 = 858", "5 × 858 = 4290", "4 + 4290 = 4294", "4 + 4294 = 4298"], "key": "four-digit-4298-10♦4♣5♠6♠K♦4♥7♠8♥5♦"} {"id": "train-four-digit-0529", "level": "four-digit", "target": 7315, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "4 + 5 + 5 + 13 + 8 * (11 + 9 * 10 * 10)", "solution_steps": ["10 × 10 = 100", "9 × 100 = 900", "11 + 900 = 911", "8 × 911 = 7288", "13 + 7288 = 7301", "5 + 7301 = 7306", "5 + 7306 = 7311", "4 + 7311 = 7315"], "key": "four-digit-7315-J♣5♦10♦K♠5♠10♥4♠9♦8♦"} {"id": "train-four-digit-0530", "level": "four-digit", "target": 2681, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "3 + 4 + 6 + 4 * 7 + 11 * 12 * (9 + 11)", "solution_steps": ["4 × 7 = 28", "9 + 11 = 20", "12 × 20 = 240", "11 × 240 = 2640", "28 + 2640 = 2668", "6 + 2668 = 2674", "4 + 2674 = 2678", "3 + 2678 = 2681"], "key": "four-digit-2681-9♦4♣Q♣7♣J♣J♥6♣3♦4♦"} {"id": "train-four-digit-0531", "level": "four-digit", "target": 4445, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + 7 * (8 * (8 + 6 * 12) - 5) - 2", "solution_steps": ["6 × 12 = 72", "8 + 72 = 80", "8 × 80 = 640", "640 − 5 = 635", "7 × 635 = 4445", "4445 − 2 = 4443", "1 + 4443 = 4444", "1 + 4444 = 4445"], "key": "four-digit-4445-2♦8♠A♣6♦5♣7♥Q♣8♥A♦"} {"id": "train-four-digit-0532", "level": "four-digit", "target": 7775, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "4 + 5 + 11 * (11 * (6 * 12 - 6) - 13 - 7)", "solution_steps": ["6 × 12 = 72", "72 − 6 = 66", "11 × 66 = 726", "726 − 13 = 713", "713 − 7 = 706", "11 × 706 = 7766", "5 + 7766 = 7771", "4 + 7771 = 7775"], "key": "four-digit-7775-J♦Q♣K♥7♥6♦5♣6♣4♣J♠"} {"id": "train-four-digit-0533", "level": "four-digit", "target": 6448, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "7 + 10 * (8 + 11) * (10 + 11 + 13) - 12 - 7", "solution_steps": ["8 + 11 = 19", "11 + 13 = 24", "10 + 24 = 34", "19 × 34 = 646", "10 × 646 = 6460", "6460 − 12 = 6448", "6448 − 7 = 6441", "7 + 6441 = 6448"], "key": "four-digit-6448-8♠7♦10♣J♣K♦7♣J♥Q♠10♦"} {"id": "train-four-digit-0534", "level": "four-digit", "target": 1258, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "5 + 6 + 7 + 12 * 13 * (9 - (11 - 10)) - 8", "solution_steps": ["11 − 10 = 1", "9 − 1 = 8", "13 × 8 = 104", "12 × 104 = 1248", "1248 − 8 = 1240", "7 + 1240 = 1247", "6 + 1247 = 1253", "5 + 1253 = 1258"], "key": "four-digit-1258-Q♠9♣6♥8♥J♠7♠K♠5♦10♠"} {"id": "train-four-digit-0535", "level": "four-digit", "target": 6231, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "3 + 6 + 7 * (11 * (12 + 7 * 10) - 12) - 8", "solution_steps": ["7 × 10 = 70", "12 + 70 = 82", "11 × 82 = 902", "902 − 12 = 890", "7 × 890 = 6230", "6230 − 8 = 6222", "6 + 6222 = 6228", "3 + 6228 = 6231"], "key": "four-digit-6231-7♣Q♦Q♠7♠3♠6♥10♣J♥8♠"} {"id": "train-four-digit-0536", "level": "four-digit", "target": 6583, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "4 + 12 + (11 + 13) * (13 * (10 + 12) - 12) - 9", "solution_steps": ["11 + 13 = 24", "10 + 12 = 22", "13 × 22 = 286", "286 − 12 = 274", "24 × 274 = 6576", "12 + 6576 = 6588", "6588 − 9 = 6579", "4 + 6579 = 6583"], "key": "four-digit-6583-4♠Q♣Q♠Q♦K♥J♠9♥K♦10♣"} {"id": "train-four-digit-0537", "level": "four-digit", "target": 3234, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 2 + 7 * (12 * (6 * 8 - 9) - 6) - 4", "solution_steps": ["6 × 8 = 48", "48 − 9 = 39", "12 × 39 = 468", "468 − 6 = 462", "7 × 462 = 3234", "3234 − 4 = 3230", "2 + 3230 = 3232", "2 + 3232 = 3234"], "key": "four-digit-3234-9♠6♣4♥6♠Q♠7♥8♥2♥2♣"} {"id": "train-four-digit-0538", "level": "four-digit", "target": 6134, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 3 + 4 + 8 * 13 * (4 + 5 * 11) - 10", "solution_steps": ["5 × 11 = 55", "4 + 55 = 59", "13 × 59 = 767", "8 × 767 = 6136", "6136 − 10 = 6126", "4 + 6126 = 6130", "3 + 6130 = 6133", "1 + 6133 = 6134"], "key": "four-digit-6134-3♦8♥5♣4♠K♥4♣10♣J♣A♦"} {"id": "train-four-digit-0539", "level": "four-digit", "target": 2504, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 4 + 6 + (5 + 10 + 13) * (8 + 9 * 9)", "solution_steps": ["10 + 13 = 23", "5 + 23 = 28", "9 × 9 = 81", "8 + 81 = 89", "28 × 89 = 2492", "6 + 2492 = 2498", "4 + 2498 = 2502", "2 + 2502 = 2504"], "key": "four-digit-2504-6♠9♦9♥K♣5♥10♠4♣8♠2♥"} {"id": "train-four-digit-0540", "level": "four-digit", "target": 1385, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 8 + 8 + 8 + 9 * (9 + 12 + 10 * 13)", "solution_steps": ["10 × 13 = 130", "12 + 130 = 142", "9 + 142 = 151", "9 × 151 = 1359", "8 + 1359 = 1367", "8 + 1367 = 1375", "8 + 1375 = 1383", "2 + 1383 = 1385"], "key": "four-digit-1385-K♦10♥8♥8♦9♥2♣9♠Q♠8♠"} {"id": "train-four-digit-0541", "level": "four-digit", "target": 5380, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "3 + 5 + (7 + 10) * (6 * (12 + 6 * 7) - 8)", "solution_steps": ["7 + 10 = 17", "6 × 7 = 42", "12 + 42 = 54", "6 × 54 = 324", "324 − 8 = 316", "17 × 316 = 5372", "5 + 5372 = 5377", "3 + 5377 = 5380"], "key": "four-digit-5380-Q♣5♥3♥7♣6♥10♥7♠6♠8♥"} {"id": "train-four-digit-0542", "level": "four-digit", "target": 3332, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 + 4 + 7 + (6 + 8) * (9 * 13 + 10 * 12)", "solution_steps": ["6 + 8 = 14", "9 × 13 = 117", "10 × 12 = 120", "117 + 120 = 237", "14 × 237 = 3318", "7 + 3318 = 3325", "4 + 3325 = 3329", "3 + 3329 = 3332"], "key": "four-digit-3332-8♦3♦4♥10♥6♣K♥7♠9♠Q♦"} {"id": "train-four-digit-0543", "level": "four-digit", "target": 7146, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 + 3 + 4 + 4 * 8 * (12 * (8 + 11) - 5)", "solution_steps": ["8 + 11 = 19", "12 × 19 = 228", "228 − 5 = 223", "8 × 223 = 1784", "4 × 1784 = 7136", "4 + 7136 = 7140", "3 + 7140 = 7143", "3 + 7143 = 7146"], "key": "four-digit-7146-3♦8♥8♠4♣4♦3♠5♠Q♠J♦"} {"id": "train-four-digit-0544", "level": "four-digit", "target": 3940, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "5 + 6 + 8 * (8 * (9 + 6 * 9) - 12) - 7", "solution_steps": ["6 × 9 = 54", "9 + 54 = 63", "8 × 63 = 504", "504 − 12 = 492", "8 × 492 = 3936", "3936 − 7 = 3929", "6 + 3929 = 3935", "5 + 3935 = 3940"], "key": "four-digit-3940-6♣8♠9♣Q♥6♥7♠9♦5♥8♦"} {"id": "train-four-digit-0545", "level": "four-digit", "target": 6281, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 5 + 4 * (8 + 6 * 13 * (7 + 13))", "solution_steps": ["7 + 13 = 20", "13 × 20 = 260", "6 × 260 = 1560", "8 + 1560 = 1568", "4 × 1568 = 6272", "5 + 6272 = 6277", "3 + 6277 = 6280", "1 + 6280 = 6281"], "key": "four-digit-6281-5♥A♥8♠7♣K♦4♥6♥K♥3♠"} {"id": "train-four-digit-0546", "level": "four-digit", "target": 3349, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 + 7 * 12 * (5 * 10 - 10) - 9 - 5", "solution_steps": ["5 × 10 = 50", "50 − 10 = 40", "12 × 40 = 480", "7 × 480 = 3360", "3360 − 9 = 3351", "3351 − 5 = 3346", "2 + 3346 = 3348", "1 + 3348 = 3349"], "key": "four-digit-3349-10♥Q♦9♦7♥10♣2♠5♦5♣A♥"} {"id": "train-four-digit-0547", "level": "four-digit", "target": 9904, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 3 + (7 + 12) * (9 + 4 * (7 + 11 * 11))", "solution_steps": ["7 + 12 = 19", "11 × 11 = 121", "7 + 121 = 128", "4 × 128 = 512", "9 + 512 = 521", "19 × 521 = 9899", "3 + 9899 = 9902", "2 + 9902 = 9904"], "key": "four-digit-9904-J♥9♠7♣J♦4♦2♥3♠Q♠7♠"} {"id": "train-four-digit-0548", "level": "four-digit", "target": 4991, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "5 + 6 + 10 * (12 + (7 + 11) * (8 + 8 + 11))", "solution_steps": ["7 + 11 = 18", "8 + 11 = 19", "8 + 19 = 27", "18 × 27 = 486", "12 + 486 = 498", "10 × 498 = 4980", "6 + 4980 = 4986", "5 + 4986 = 4991"], "key": "four-digit-4991-J♥8♠J♦7♦8♣Q♠6♦5♣10♣"} {"id": "train-four-digit-0549", "level": "four-digit", "target": 1041, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 4 + 5 + 7 * (7 * (9 + 13) - 6) - 6", "solution_steps": ["9 + 13 = 22", "7 × 22 = 154", "154 − 6 = 148", "7 × 148 = 1036", "1036 − 6 = 1030", "5 + 1030 = 1035", "4 + 1035 = 1039", "2 + 1039 = 1041"], "key": "four-digit-1041-2♥7♥9♦6♦4♥7♣K♣5♣6♥"} {"id": "train-four-digit-0550", "level": "four-digit", "target": 7824, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 4 + 6 + 7 * (9 * 11 * 12 - 8 * 9)", "solution_steps": ["11 × 12 = 132", "9 × 132 = 1188", "8 × 9 = 72", "1188 − 72 = 1116", "7 × 1116 = 7812", "6 + 7812 = 7818", "4 + 7818 = 7822", "2 + 7822 = 7824"], "key": "four-digit-7824-7♦9♣6♥8♠4♥9♠2♠Q♦J♠"} {"id": "train-four-digit-0551", "level": "four-digit", "target": 8049, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 2 + 3 + (8 + 13) * (5 * 7 * 11 - 2)", "solution_steps": ["8 + 13 = 21", "7 × 11 = 77", "5 × 77 = 385", "385 − 2 = 383", "21 × 383 = 8043", "3 + 8043 = 8046", "2 + 8046 = 8048", "1 + 8048 = 8049"], "key": "four-digit-8049-A♠8♥7♥J♥2♦K♣3♦2♥5♠"} {"id": "train-four-digit-0552", "level": "four-digit", "target": 8828, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 1 + 6 + 12 * (5 + 10 * (9 + 8 * 8))", "solution_steps": ["8 × 8 = 64", "9 + 64 = 73", "10 × 73 = 730", "5 + 730 = 735", "12 × 735 = 8820", "6 + 8820 = 8826", "1 + 8826 = 8827", "1 + 8827 = 8828"], "key": "four-digit-8828-8♥9♥A♣6♦10♠Q♥8♣A♥5♠"} {"id": "train-four-digit-0553", "level": "four-digit", "target": 4598, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 4 + 7 * 9 * (10 + 13 + 5 * 10) - 6", "solution_steps": ["5 × 10 = 50", "13 + 50 = 63", "10 + 63 = 73", "9 × 73 = 657", "7 × 657 = 4599", "4599 − 6 = 4593", "4 + 4593 = 4597", "1 + 4597 = 4598"], "key": "four-digit-4598-6♥4♠A♠7♦9♣K♠5♥10♣10♦"} {"id": "train-four-digit-0554", "level": "four-digit", "target": 3957, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "3 + 4 + 11 * 12 * (7 + 10 + 13) - 5 - 5", "solution_steps": ["10 + 13 = 23", "7 + 23 = 30", "12 × 30 = 360", "11 × 360 = 3960", "3960 − 5 = 3955", "3955 − 5 = 3950", "4 + 3950 = 3954", "3 + 3954 = 3957"], "key": "four-digit-3957-10♦7♥J♠5♦4♠3♦5♣K♣Q♥"} {"id": "train-four-digit-0555", "level": "four-digit", "target": 6354, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 3 + 4 + 5 * (3 * 7 + 8 * 12 * 13)", "solution_steps": ["3 × 7 = 21", "12 × 13 = 156", "8 × 156 = 1248", "21 + 1248 = 1269", "5 × 1269 = 6345", "4 + 6345 = 6349", "3 + 6349 = 6352", "2 + 6352 = 6354"], "key": "four-digit-6354-7♣4♣2♣3♣5♣3♥8♦K♥Q♦"} {"id": "train-four-digit-0556", "level": "four-digit", "target": 9988, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 2 + 9 * 10 * (6 * 8 + 7 * 9) - 5", "solution_steps": ["6 × 8 = 48", "7 × 9 = 63", "48 + 63 = 111", "10 × 111 = 1110", "9 × 1110 = 9990", "9990 − 5 = 9985", "2 + 9985 = 9987", "1 + 9987 = 9988"], "key": "four-digit-9988-8♦9♠7♠A♠6♦5♦9♦2♦10♣"} {"id": "train-four-digit-0557", "level": "four-digit", "target": 3322, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 + 3 * (11 * (6 * (6 + 13) - 13) - 5)", "solution_steps": ["6 + 13 = 19", "6 × 19 = 114", "114 − 13 = 101", "11 × 101 = 1111", "1111 − 5 = 1106", "3 × 1106 = 3318", "3 + 3318 = 3321", "1 + 3321 = 3322"], "key": "four-digit-3322-5♥6♥K♦A♦K♥3♠J♦6♣3♣"} {"id": "train-four-digit-0558", "level": "four-digit", "target": 5041, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 1 + 4 + 4 * 9 * 10 * (2 + 12) - 5", "solution_steps": ["2 + 12 = 14", "10 × 14 = 140", "9 × 140 = 1260", "4 × 1260 = 5040", "5040 − 5 = 5035", "4 + 5035 = 5039", "1 + 5039 = 5040", "1 + 5040 = 5041"], "key": "four-digit-5041-5♠A♠9♠Q♣10♠4♠A♣4♦2♣"} {"id": "train-four-digit-0559", "level": "four-digit", "target": 4195, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "2 + 6 + 7 + 10 * 11 * (7 + 8 + 11 + 12)", "solution_steps": ["11 + 12 = 23", "8 + 23 = 31", "7 + 31 = 38", "11 × 38 = 418", "10 × 418 = 4180", "7 + 4180 = 4187", "6 + 4187 = 4193", "2 + 4193 = 4195"], "key": "four-digit-4195-J♦7♣J♥6♥2♦8♠Q♣7♥10♣"} {"id": "train-four-digit-0560", "level": "four-digit", "target": 6112, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 1 + 2 + 12 * (3 * 9 * (9 + 10) - 4)", "solution_steps": ["9 + 10 = 19", "9 × 19 = 171", "3 × 171 = 513", "513 − 4 = 509", "12 × 509 = 6108", "2 + 6108 = 6110", "1 + 6110 = 6111", "1 + 6111 = 6112"], "key": "four-digit-6112-A♥Q♣10♥9♦4♦9♥A♦3♣2♦"} {"id": "train-four-digit-0561", "level": "four-digit", "target": 9791, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 2 + 8 * 12 * (3 + 9 * 11) - 2 - 2", "solution_steps": ["9 × 11 = 99", "3 + 99 = 102", "12 × 102 = 1224", "8 × 1224 = 9792", "9792 − 2 = 9790", "9790 − 2 = 9788", "2 + 9788 = 9790", "1 + 9790 = 9791"], "key": "four-digit-9791-J♣A♠2♥Q♦3♦8♠2♦2♠9♠"} {"id": "train-four-digit-0562", "level": "four-digit", "target": 7853, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 6 + 3 * 4 * (5 * 11 * 12 - 6) - 2", "solution_steps": ["11 × 12 = 132", "5 × 132 = 660", "660 − 6 = 654", "4 × 654 = 2616", "3 × 2616 = 7848", "6 + 7848 = 7854", "7854 − 2 = 7852", "1 + 7852 = 7853"], "key": "four-digit-7853-5♦3♥Q♠A♠2♦J♠6♥4♠6♦"} {"id": "train-four-digit-0563", "level": "four-digit", "target": 7188, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "2 + 3 + 6 * 6 * 10 * (7 + 13) - 12 - 5", "solution_steps": ["7 + 13 = 20", "10 × 20 = 200", "6 × 200 = 1200", "6 × 1200 = 7200", "7200 − 12 = 7188", "7188 − 5 = 7183", "3 + 7183 = 7186", "2 + 7186 = 7188"], "key": "four-digit-7188-2♣6♦7♠Q♥10♥5♠3♦K♥6♥"} {"id": "train-four-digit-0564", "level": "four-digit", "target": 6114, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 + 10 + 4 * (8 * 12 * (3 + 13) - 11)", "solution_steps": ["3 + 13 = 16", "12 × 16 = 192", "8 × 192 = 1536", "1536 − 11 = 1525", "4 × 1525 = 6100", "10 + 6100 = 6110", "3 + 6110 = 6113", "1 + 6113 = 6114"], "key": "four-digit-6114-A♦10♣8♠4♦J♠3♠Q♦K♣3♣"} {"id": "train-four-digit-0565", "level": "four-digit", "target": 6317, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 3 + 8 * (5 + (11 - 4) * (12 + 10 * 10))", "solution_steps": ["11 − 4 = 7", "10 × 10 = 100", "12 + 100 = 112", "7 × 112 = 784", "5 + 784 = 789", "8 × 789 = 6312", "3 + 6312 = 6315", "2 + 6315 = 6317"], "key": "four-digit-6317-5♥8♣J♣Q♥2♠4♠3♠10♣10♦"} {"id": "train-four-digit-0566", "level": "four-digit", "target": 1456, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "3 + 3 + (10 + 5 * 11 * 11 * 12) / 5 - 4", "solution_steps": ["11 × 12 = 132", "11 × 132 = 1452", "5 × 1452 = 7260", "10 + 7260 = 7270", "7270 ÷ 5 = 1454", "1454 − 4 = 1450", "3 + 1450 = 1453", "3 + 1453 = 1456"], "key": "four-digit-1456-5♠Q♦J♠5♥4♣3♥J♦3♣10♦"} {"id": "train-four-digit-0567", "level": "four-digit", "target": 4613, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 4 + 8 * (12 + 6 * 8 * 12 - 11) - 9", "solution_steps": ["8 × 12 = 96", "6 × 96 = 576", "12 + 576 = 588", "588 − 11 = 577", "8 × 577 = 4616", "4616 − 9 = 4607", "4 + 4607 = 4611", "2 + 4611 = 4613"], "key": "four-digit-4613-J♦Q♦2♠6♣8♥8♦4♦Q♥9♦"} {"id": "train-four-digit-0568", "level": "four-digit", "target": 5075, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 2 + (13 - 5) * (4 + 5 * 7 * (9 + 9))", "solution_steps": ["13 − 5 = 8", "9 + 9 = 18", "7 × 18 = 126", "5 × 126 = 630", "4 + 630 = 634", "8 × 634 = 5072", "2 + 5072 = 5074", "1 + 5074 = 5075"], "key": "four-digit-5075-5♥7♣2♦9♥A♥9♦K♦5♠4♥"} {"id": "train-four-digit-0569", "level": "four-digit", "target": 9531, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 3 + 11 * (10 + 6 * 11 * 13) - 12 - 9", "solution_steps": ["11 × 13 = 143", "6 × 143 = 858", "10 + 858 = 868", "11 × 868 = 9548", "9548 − 12 = 9536", "9536 − 9 = 9527", "3 + 9527 = 9530", "1 + 9530 = 9531"], "key": "four-digit-9531-10♣6♥Q♦K♥A♣3♣J♠J♦9♥"} {"id": "train-four-digit-0570", "level": "four-digit", "target": 2828, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 5 + 10 * (9 * (7 + 12 + 13) - 6)", "solution_steps": ["12 + 13 = 25", "7 + 25 = 32", "9 × 32 = 288", "288 − 6 = 282", "10 × 282 = 2820", "5 + 2820 = 2825", "2 + 2825 = 2827", "1 + 2827 = 2828"], "key": "four-digit-2828-Q♦K♣6♣7♠9♥2♠5♠10♥A♣"} {"id": "train-four-digit-0571", "level": "four-digit", "target": 6302, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 3 + 9 + 6 * (8 * 11 * 13 - 8 * 12)", "solution_steps": ["11 × 13 = 143", "8 × 143 = 1144", "8 × 12 = 96", "1144 − 96 = 1048", "6 × 1048 = 6288", "9 + 6288 = 6297", "3 + 6297 = 6300", "2 + 6300 = 6302"], "key": "four-digit-6302-2♥6♥Q♦8♣3♥8♦K♠J♥9♦"} {"id": "train-four-digit-0572", "level": "four-digit", "target": 9400, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 2 + 11 + 13 * (10 + 8 * (9 * 11 - 10))", "solution_steps": ["9 × 11 = 99", "99 − 10 = 89", "8 × 89 = 712", "10 + 712 = 722", "13 × 722 = 9386", "11 + 9386 = 9397", "2 + 9397 = 9399", "1 + 9399 = 9400"], "key": "four-digit-9400-9♦J♠K♣10♦2♣A♥J♣8♠10♠"} {"id": "train-four-digit-0573", "level": "four-digit", "target": 1844, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "3 + 4 + 6 + 9 * (8 * 12 + 9 * 12) - 5", "solution_steps": ["8 × 12 = 96", "9 × 12 = 108", "96 + 108 = 204", "9 × 204 = 1836", "6 + 1836 = 1842", "1842 − 5 = 1837", "4 + 1837 = 1841", "3 + 1841 = 1844"], "key": "four-digit-1844-4♥5♣8♠6♦Q♠9♣3♠Q♣9♠"} {"id": "train-four-digit-0574", "level": "four-digit", "target": 2178, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 + 2 + 4 + 12 * 13 * (6 + 8) - 9 - 5", "solution_steps": ["6 + 8 = 14", "13 × 14 = 182", "12 × 182 = 2184", "2184 − 9 = 2175", "2175 − 5 = 2170", "4 + 2170 = 2174", "2 + 2174 = 2176", "2 + 2176 = 2178"], "key": "four-digit-2178-K♠5♥8♥2♠2♦6♦Q♠9♦4♠"} {"id": "train-four-digit-0575", "level": "four-digit", "target": 6500, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 3 + 7 * (11 * (5 * 8 + 5 * 9) - 7)", "solution_steps": ["5 × 8 = 40", "5 × 9 = 45", "40 + 45 = 85", "11 × 85 = 935", "935 − 7 = 928", "7 × 928 = 6496", "3 + 6496 = 6499", "1 + 6499 = 6500"], "key": "four-digit-6500-J♠9♣7♥A♠3♥5♣5♥8♠7♠"} {"id": "train-four-digit-0576", "level": "four-digit", "target": 7337, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 5 + 8 * (13 - 6) * (11 + 10 * 12) - 6", "solution_steps": ["13 − 6 = 7", "10 × 12 = 120", "11 + 120 = 131", "7 × 131 = 917", "8 × 917 = 7336", "7336 − 6 = 7330", "5 + 7330 = 7335", "2 + 7335 = 7337"], "key": "four-digit-7337-2♦Q♣J♥6♦6♥K♣10♥5♣8♦"} {"id": "train-four-digit-0577", "level": "four-digit", "target": 6445, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 3 + 3 * (4 * 7 * (8 * 11 - 11) - 9)", "solution_steps": ["8 × 11 = 88", "88 − 11 = 77", "7 × 77 = 539", "4 × 539 = 2156", "2156 − 9 = 2147", "3 × 2147 = 6441", "3 + 6441 = 6444", "1 + 6444 = 6445"], "key": "four-digit-6445-A♥7♣J♦3♦8♦3♥9♥4♦J♠"} {"id": "train-four-digit-0578", "level": "four-digit", "target": 1035, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 7 * (11 * (9 + 11) - 8 * 9) - 4", "solution_steps": ["9 + 11 = 20", "11 × 20 = 220", "8 × 9 = 72", "220 − 72 = 148", "7 × 148 = 1036", "1036 − 4 = 1032", "2 + 1032 = 1034", "1 + 1034 = 1035"], "key": "four-digit-1035-J♥4♣J♣9♣7♠A♦8♥9♠2♠"} {"id": "train-four-digit-0579", "level": "four-digit", "target": 7623, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 5 * 7 * (4 * 5 * 11 - 8 / 4) - 8", "solution_steps": ["5 × 11 = 55", "4 × 55 = 220", "8 ÷ 4 = 2", "220 − 2 = 218", "7 × 218 = 1526", "5 × 1526 = 7630", "7630 − 8 = 7622", "1 + 7622 = 7623"], "key": "four-digit-7623-J♥8♠7♦A♣5♠8♦5♥4♣4♠"} {"id": "train-four-digit-0580", "level": "four-digit", "target": 5403, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 4 + 7 + 12 * (10 + 5 * 8 * 11) - 9", "solution_steps": ["8 × 11 = 88", "5 × 88 = 440", "10 + 440 = 450", "12 × 450 = 5400", "5400 − 9 = 5391", "7 + 5391 = 5398", "4 + 5398 = 5402", "1 + 5402 = 5403"], "key": "four-digit-5403-7♦J♣A♠5♣10♦8♠9♠Q♦4♣"} {"id": "train-four-digit-0581", "level": "four-digit", "target": 3066, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 3 + 5 + 13 * (8 + 13 * (6 + 12) - 7)", "solution_steps": ["6 + 12 = 18", "13 × 18 = 234", "8 + 234 = 242", "242 − 7 = 235", "13 × 235 = 3055", "5 + 3055 = 3060", "3 + 3060 = 3063", "3 + 3063 = 3066"], "key": "four-digit-3066-6♠K♥Q♦K♦3♠5♠7♠3♥8♦"} {"id": "train-four-digit-0582", "level": "four-digit", "target": 7559, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 3 + 4 + 5 * 10 * (7 + 8 * (8 + 10))", "solution_steps": ["8 + 10 = 18", "8 × 18 = 144", "7 + 144 = 151", "10 × 151 = 1510", "5 × 1510 = 7550", "4 + 7550 = 7554", "3 + 7554 = 7557", "2 + 7557 = 7559"], "key": "four-digit-7559-10♠8♥3♦4♠5♣8♣2♥10♦7♦"} {"id": "train-four-digit-0583", "level": "four-digit", "target": 9619, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 2 + 8 * (2 + 6 * 8 * (6 + 7 + 12))", "solution_steps": ["7 + 12 = 19", "6 + 19 = 25", "8 × 25 = 200", "6 × 200 = 1200", "2 + 1200 = 1202", "8 × 1202 = 9616", "2 + 9616 = 9618", "1 + 9618 = 9619"], "key": "four-digit-9619-7♠6♠Q♥6♣8♥A♠2♣2♦8♦"} {"id": "train-four-digit-0584", "level": "four-digit", "target": 9178, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "3 + (5 + (5 + 11) * (12 * 12 * 12 - 8)) / 3", "solution_steps": ["5 + 11 = 16", "12 × 12 = 144", "12 × 144 = 1728", "1728 − 8 = 1720", "16 × 1720 = 27520", "5 + 27520 = 27525", "27525 ÷ 3 = 9175", "3 + 9175 = 9178"], "key": "four-digit-9178-3♠8♣Q♦3♦5♥5♦J♠Q♠Q♣"} {"id": "train-four-digit-0585", "level": "four-digit", "target": 7635, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 2 + 2 * 8 * (12 * (5 * 10 - 10) - 3)", "solution_steps": ["5 × 10 = 50", "50 − 10 = 40", "12 × 40 = 480", "480 − 3 = 477", "8 × 477 = 3816", "2 × 3816 = 7632", "2 + 7632 = 7634", "1 + 7634 = 7635"], "key": "four-digit-7635-A♥2♥10♥2♦8♦3♣10♣5♦Q♣"} {"id": "train-four-digit-0586", "level": "four-digit", "target": 1827, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "6 + 6 + 9 + 11 * (10 + 12 * 13) - 10 - 10", "solution_steps": ["12 × 13 = 156", "10 + 156 = 166", "11 × 166 = 1826", "1826 − 10 = 1816", "1816 − 10 = 1806", "9 + 1806 = 1815", "6 + 1815 = 1821", "6 + 1821 = 1827"], "key": "four-digit-1827-9♠6♠10♠K♠6♦Q♠J♦10♦10♣"} {"id": "train-four-digit-0587", "level": "four-digit", "target": 1615, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 5 + 6 + 9 + 8 * 10 * (7 + 13) - 6", "solution_steps": ["7 + 13 = 20", "10 × 20 = 200", "8 × 200 = 1600", "9 + 1600 = 1609", "1609 − 6 = 1603", "6 + 1603 = 1609", "5 + 1609 = 1614", "1 + 1614 = 1615"], "key": "four-digit-1615-7♦9♦6♦A♠8♣K♠10♠5♠6♣"} {"id": "train-four-digit-0588", "level": "four-digit", "target": 9492, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 9 + 5 * 7 * (11 + 4 * 5 * 13) - 3", "solution_steps": ["5 × 13 = 65", "4 × 65 = 260", "11 + 260 = 271", "7 × 271 = 1897", "5 × 1897 = 9485", "9 + 9485 = 9494", "9494 − 3 = 9491", "1 + 9491 = 9492"], "key": "four-digit-9492-A♦J♥5♦5♥9♥3♥7♣K♦4♣"} {"id": "train-four-digit-0589", "level": "four-digit", "target": 1217, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 2 + 2 + 2 * (10 * (7 * 10 - 9) - 4)", "solution_steps": ["7 × 10 = 70", "70 − 9 = 61", "10 × 61 = 610", "610 − 4 = 606", "2 × 606 = 1212", "2 + 1212 = 1214", "2 + 1214 = 1216", "1 + 1216 = 1217"], "key": "four-digit-1217-A♠9♥2♦2♥7♥2♠4♣10♣10♦"} {"id": "train-four-digit-0590", "level": "four-digit", "target": 1318, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "2 + 2 + 3 + 7 + 4 * (6 + 4 * 8 * 10)", "solution_steps": ["8 × 10 = 80", "4 × 80 = 320", "6 + 320 = 326", "4 × 326 = 1304", "7 + 1304 = 1311", "3 + 1311 = 1314", "2 + 1314 = 1316", "2 + 1316 = 1318"], "key": "four-digit-1318-7♣2♥4♦2♦8♠3♠6♦10♠4♥"} {"id": "train-four-digit-0591", "level": "four-digit", "target": 5845, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "2 + 2 + 12 * 12 * 13 * (12 + 13) / 8 - 9", "solution_steps": ["12 + 13 = 25", "13 × 25 = 325", "12 × 325 = 3900", "12 × 3900 = 46800", "46800 ÷ 8 = 5850", "5850 − 9 = 5841", "2 + 5841 = 5843", "2 + 5843 = 5845"], "key": "four-digit-5845-8♣Q♠2♥K♠Q♦2♦9♣K♣Q♥"} {"id": "train-four-digit-0592", "level": "four-digit", "target": 8914, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 2 + 7 + 6 * (11 * 12 + 8 * 13 * 13)", "solution_steps": ["11 × 12 = 132", "13 × 13 = 169", "8 × 169 = 1352", "132 + 1352 = 1484", "6 × 1484 = 8904", "7 + 8904 = 8911", "2 + 8911 = 8913", "1 + 8913 = 8914"], "key": "four-digit-8914-7♥2♠K♠K♥8♥J♠A♦Q♦6♣"} {"id": "train-four-digit-0593", "level": "four-digit", "target": 4042, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 3 + 3 * (6 + 7 * 12 * (6 + 10) - 4)", "solution_steps": ["6 + 10 = 16", "12 × 16 = 192", "7 × 192 = 1344", "6 + 1344 = 1350", "1350 − 4 = 1346", "3 × 1346 = 4038", "3 + 4038 = 4041", "1 + 4041 = 4042"], "key": "four-digit-4042-3♠A♣4♥7♠Q♥6♦6♠3♥10♣"} {"id": "train-four-digit-0594", "level": "four-digit", "target": 8415, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 4 + 10 + 6 * (4 + 10) * (9 + 7 * 13)", "solution_steps": ["4 + 10 = 14", "7 × 13 = 91", "9 + 91 = 100", "14 × 100 = 1400", "6 × 1400 = 8400", "10 + 8400 = 8410", "4 + 8410 = 8414", "1 + 8414 = 8415"], "key": "four-digit-8415-7♣10♣4♦K♦A♦9♦6♣4♠10♠"} {"id": "train-four-digit-0595", "level": "four-digit", "target": 4521, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + 3 + 4 + 12 + 6 * 10 * (7 * 12 - 9)", "solution_steps": ["7 × 12 = 84", "84 − 9 = 75", "10 × 75 = 750", "6 × 750 = 4500", "12 + 4500 = 4512", "4 + 4512 = 4516", "3 + 4516 = 4519", "2 + 4519 = 4521"], "key": "four-digit-4521-6♠10♦3♣2♦Q♥4♠7♠Q♣9♠"} {"id": "train-four-digit-0596", "level": "four-digit", "target": 7588, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 10 + (5 * 13 - 8) * (13 + 10 * 12) - 4", "solution_steps": ["5 × 13 = 65", "65 − 8 = 57", "10 × 12 = 120", "13 + 120 = 133", "57 × 133 = 7581", "10 + 7581 = 7591", "7591 − 4 = 7587", "1 + 7587 = 7588"], "key": "four-digit-7588-K♥5♠10♠A♣8♦Q♥K♣10♣4♦"} {"id": "train-four-digit-0597", "level": "four-digit", "target": 3985, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 + 10 * (3 + 4 * 9 * 11) - 5 - 2", "solution_steps": ["9 × 11 = 99", "4 × 99 = 396", "3 + 396 = 399", "10 × 399 = 3990", "3990 − 5 = 3985", "3985 − 2 = 3983", "1 + 3983 = 3984", "1 + 3984 = 3985"], "key": "four-digit-3985-2♣3♠4♠J♦9♣A♦10♣5♣A♥"} {"id": "train-four-digit-0598", "level": "four-digit", "target": 6079, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 2 + 7 * (5 * (3 * 6 + 12 * 13) - 2)", "solution_steps": ["3 × 6 = 18", "12 × 13 = 156", "18 + 156 = 174", "5 × 174 = 870", "870 − 2 = 868", "7 × 868 = 6076", "2 + 6076 = 6078", "1 + 6078 = 6079"], "key": "four-digit-6079-A♦6♥5♦2♣7♠3♦K♠2♠Q♣"} {"id": "train-four-digit-0599", "level": "four-digit", "target": 9348, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 * (3 * 5 * 6 * (3 + 7 * 7) - 5) - 2", "solution_steps": ["7 × 7 = 49", "3 + 49 = 52", "6 × 52 = 312", "5 × 312 = 1560", "3 × 1560 = 4680", "4680 − 5 = 4675", "2 × 4675 = 9350", "9350 − 2 = 9348"], "key": "four-digit-9348-5♦5♠2♠7♣3♥2♦7♥6♠3♠"} {"id": "train-four-digit-0600", "level": "four-digit", "target": 7512, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 2 + 4 * 9 * 11 * (8 + 11) - 11 - 5", "solution_steps": ["8 + 11 = 19", "11 × 19 = 209", "9 × 209 = 1881", "4 × 1881 = 7524", "7524 − 11 = 7513", "7513 − 5 = 7508", "2 + 7508 = 7510", "2 + 7510 = 7512"], "key": "four-digit-7512-J♠J♥9♠5♦8♦J♦4♠2♣2♠"} {"id": "train-four-digit-0601", "level": "four-digit", "target": 8817, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 2 * (4 + 9 * (5 * 9 * 11 - 5) - 6)", "solution_steps": ["9 × 11 = 99", "5 × 99 = 495", "495 − 5 = 490", "9 × 490 = 4410", "4410 − 6 = 4404", "4 + 4404 = 4408", "2 × 4408 = 8816", "1 + 8816 = 8817"], "key": "four-digit-8817-6♦5♠J♥9♦A♠4♦9♠2♦5♦"} {"id": "train-four-digit-0602", "level": "four-digit", "target": 5680, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 3 + 5 + 10 * (8 + 13 * (5 * 10 - 7))", "solution_steps": ["5 × 10 = 50", "50 − 7 = 43", "13 × 43 = 559", "8 + 559 = 567", "10 × 567 = 5670", "5 + 5670 = 5675", "3 + 5675 = 5678", "2 + 5678 = 5680"], "key": "four-digit-5680-7♥5♦K♣5♣10♠3♠10♣8♠2♣"} {"id": "train-four-digit-0603", "level": "four-digit", "target": 2925, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "3 + 3 + 7 + (8 + 10) * (6 + 12 * 13) - 4", "solution_steps": ["8 + 10 = 18", "12 × 13 = 156", "6 + 156 = 162", "18 × 162 = 2916", "7 + 2916 = 2923", "2923 − 4 = 2919", "3 + 2919 = 2922", "3 + 2922 = 2925"], "key": "four-digit-2925-10♦6♥3♠7♥K♠Q♥4♦3♥8♣"} {"id": "train-four-digit-0604", "level": "four-digit", "target": 8867, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + (6 + 6) * (4 + 7 * 7 * (5 + 10)) - 2", "solution_steps": ["6 + 6 = 12", "5 + 10 = 15", "7 × 15 = 105", "7 × 105 = 735", "4 + 735 = 739", "12 × 739 = 8868", "8868 − 2 = 8866", "1 + 8866 = 8867"], "key": "four-digit-8867-10♣A♥7♣7♠6♥6♣4♦5♣2♦"} {"id": "train-four-digit-0605", "level": "four-digit", "target": 6844, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 4 + 5 + (6 * 10 - 4) * (5 + 9 * 13)", "solution_steps": ["6 × 10 = 60", "60 − 4 = 56", "9 × 13 = 117", "5 + 117 = 122", "56 × 122 = 6832", "5 + 6832 = 6837", "4 + 6837 = 6841", "3 + 6841 = 6844"], "key": "four-digit-6844-10♠5♠4♥4♦5♣9♦6♥K♣3♠"} {"id": "train-four-digit-0606", "level": "four-digit", "target": 3838, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + 8 * 10 + 12 * (13 + 3 * 10 * 10)", "solution_steps": ["8 × 10 = 80", "10 × 10 = 100", "3 × 100 = 300", "13 + 300 = 313", "12 × 313 = 3756", "80 + 3756 = 3836", "1 + 3836 = 3837", "1 + 3837 = 3838"], "key": "four-digit-3838-10♣10♥A♠Q♠8♠3♠K♠10♦A♦"} {"id": "train-four-digit-0607", "level": "four-digit", "target": 2492, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + 2 * (3 + 3 * 9 * (5 * 11 - 9))", "solution_steps": ["5 × 11 = 55", "55 − 9 = 46", "9 × 46 = 414", "3 × 414 = 1242", "3 + 1242 = 1245", "2 × 1245 = 2490", "1 + 2490 = 2491", "1 + 2491 = 2492"], "key": "four-digit-2492-J♦A♠9♥5♠2♥3♣9♣3♥A♦"} {"id": "train-four-digit-0608", "level": "four-digit", "target": 9930, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 4 + 5 + 7 * 13 * (11 * 12 - 13 - 10)", "solution_steps": ["11 × 12 = 132", "132 − 13 = 119", "119 − 10 = 109", "13 × 109 = 1417", "7 × 1417 = 9919", "5 + 9919 = 9924", "4 + 9924 = 9928", "2 + 9928 = 9930"], "key": "four-digit-9930-7♠K♠10♥5♣Q♠4♠K♥2♥J♣"} {"id": "train-four-digit-0609", "level": "four-digit", "target": 5050, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 8 + 5 * 8 * (3 + 13 + 10 * 11)", "solution_steps": ["10 × 11 = 110", "13 + 110 = 123", "3 + 123 = 126", "8 × 126 = 1008", "5 × 1008 = 5040", "8 + 5040 = 5048", "1 + 5048 = 5049", "1 + 5049 = 5050"], "key": "four-digit-5050-10♥8♦5♦A♦3♦J♠8♣K♦A♠"} {"id": "train-four-digit-0610", "level": "four-digit", "target": 8952, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 4 + 9 * (10 * (10 + 5 * (5 + 13)) - 6)", "solution_steps": ["5 + 13 = 18", "5 × 18 = 90", "10 + 90 = 100", "10 × 100 = 1000", "1000 − 6 = 994", "9 × 994 = 8946", "4 + 8946 = 8950", "2 + 8950 = 8952"], "key": "four-digit-8952-K♠5♠9♥5♦6♥10♦4♥10♣2♥"} {"id": "train-four-digit-0611", "level": "four-digit", "target": 9026, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 2 + 7 * (8 * 9 * (12 + 13 - 7) - 7)", "solution_steps": ["12 + 13 = 25", "25 − 7 = 18", "9 × 18 = 162", "8 × 162 = 1296", "1296 − 7 = 1289", "7 × 1289 = 9023", "2 + 9023 = 9025", "1 + 9025 = 9026"], "key": "four-digit-9026-A♦8♥7♦7♠7♥K♥Q♣2♦9♠"} {"id": "train-four-digit-0612", "level": "four-digit", "target": 9583, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "1 + 2 * 3 * (4 + 3 * 9 * (5 * 12 - 1))", "solution_steps": ["5 × 12 = 60", "60 − 1 = 59", "9 × 59 = 531", "3 × 531 = 1593", "4 + 1593 = 1597", "3 × 1597 = 4791", "2 × 4791 = 9582", "1 + 9582 = 9583"], "key": "four-digit-9583-3♥A♥2♠A♣5♣4♦Q♦3♣9♥"} {"id": "train-four-digit-0613", "level": "four-digit", "target": 5024, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "5 + 7 + 7 + 11 * (13 - 8) * (11 + 8 * 10)", "solution_steps": ["13 − 8 = 5", "8 × 10 = 80", "11 + 80 = 91", "5 × 91 = 455", "11 × 455 = 5005", "7 + 5005 = 5012", "7 + 5012 = 5019", "5 + 5019 = 5024"], "key": "four-digit-5024-J♦8♣J♣K♦10♠7♥8♥5♥7♣"} {"id": "train-four-digit-0614", "level": "four-digit", "target": 4781, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 2 + 9 * (5 * 10 * 11 - 13 - 5) - 10", "solution_steps": ["10 × 11 = 110", "5 × 110 = 550", "550 − 13 = 537", "537 − 5 = 532", "9 × 532 = 4788", "4788 − 10 = 4778", "2 + 4778 = 4780", "1 + 4780 = 4781"], "key": "four-digit-4781-5♥10♣J♦2♠10♦9♥A♥K♠5♠"} {"id": "train-four-digit-0615", "level": "four-digit", "target": 5985, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + 5 * 9 * (7 + 7 * (6 + 12)) - 2", "solution_steps": ["6 + 12 = 18", "7 × 18 = 126", "7 + 126 = 133", "9 × 133 = 1197", "5 × 1197 = 5985", "5985 − 2 = 5983", "1 + 5983 = 5984", "1 + 5984 = 5985"], "key": "four-digit-5985-2♦Q♠7♥7♣6♠5♣A♣9♥A♦"} {"id": "train-four-digit-0616", "level": "four-digit", "target": 5896, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 1 + 2 * 7 * (5 + 13 * (6 * 6 - 4))", "solution_steps": ["6 × 6 = 36", "36 − 4 = 32", "13 × 32 = 416", "5 + 416 = 421", "7 × 421 = 2947", "2 × 2947 = 5894", "1 + 5894 = 5895", "1 + 5895 = 5896"], "key": "four-digit-5896-2♠5♥6♦A♠4♦6♠A♣7♦K♠"} {"id": "train-four-digit-0617", "level": "four-digit", "target": 7501, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 3 + 7 * (4 + 6 + 8 + 9 * 9 * 13)", "solution_steps": ["9 × 13 = 117", "9 × 117 = 1053", "8 + 1053 = 1061", "6 + 1061 = 1067", "4 + 1067 = 1071", "7 × 1071 = 7497", "3 + 7497 = 7500", "1 + 7500 = 7501"], "key": "four-digit-7501-6♣7♦8♠9♠3♦A♣K♠4♠9♣"} {"id": "train-four-digit-0618", "level": "four-digit", "target": 1894, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 2 + 3 + 4 + 12 * (10 * (5 + 12) - 13)", "solution_steps": ["5 + 12 = 17", "10 × 17 = 170", "170 − 13 = 157", "12 × 157 = 1884", "4 + 1884 = 1888", "3 + 1888 = 1891", "2 + 1891 = 1893", "1 + 1893 = 1894"], "key": "four-digit-1894-3♥10♠4♦K♣5♦A♥2♥Q♦Q♠"} {"id": "train-four-digit-0619", "level": "four-digit", "target": 9189, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 9 + 3 * 12 * (13 * (8 + 12) - 5) - 1", "solution_steps": ["8 + 12 = 20", "13 × 20 = 260", "260 − 5 = 255", "12 × 255 = 3060", "3 × 3060 = 9180", "9 + 9180 = 9189", "9189 − 1 = 9188", "1 + 9188 = 9189"], "key": "four-digit-9189-Q♣5♣3♦A♠Q♥9♠8♥A♦K♣"} {"id": "train-four-digit-0620", "level": "four-digit", "target": 9315, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 2 + 3 * (5 + 11) * (8 * (12 + 13) - 6)", "solution_steps": ["5 + 11 = 16", "12 + 13 = 25", "8 × 25 = 200", "200 − 6 = 194", "16 × 194 = 3104", "3 × 3104 = 9312", "2 + 9312 = 9314", "1 + 9314 = 9315"], "key": "four-digit-9315-K♠Q♣6♠8♦A♥5♦3♣J♦2♣"} {"id": "train-four-digit-0621", "level": "four-digit", "target": 1794, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 3 + 5 + 5 + (10 + 10) * (8 * 12 - 7)", "solution_steps": ["10 + 10 = 20", "8 × 12 = 96", "96 − 7 = 89", "20 × 89 = 1780", "5 + 1780 = 1785", "5 + 1785 = 1790", "3 + 1790 = 1793", "1 + 1793 = 1794"], "key": "four-digit-1794-5♥Q♦7♠10♦A♦3♣8♣5♣10♣"} {"id": "train-four-digit-0622", "level": "four-digit", "target": 2410, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + 2 + 11 * 11 * (4 + 8 + 8) - 9 - 5", "solution_steps": ["8 + 8 = 16", "4 + 16 = 20", "11 × 20 = 220", "11 × 220 = 2420", "2420 − 9 = 2411", "2411 − 5 = 2406", "2 + 2406 = 2408", "2 + 2408 = 2410"], "key": "four-digit-2410-J♦8♥2♠5♥2♣8♦J♥4♣9♠"} {"id": "train-four-digit-0623", "level": "four-digit", "target": 1254, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 3 + 4 + 5 * (9 + 13 * (9 + 10) - 7)", "solution_steps": ["9 + 10 = 19", "13 × 19 = 247", "9 + 247 = 256", "256 − 7 = 249", "5 × 249 = 1245", "4 + 1245 = 1249", "3 + 1249 = 1252", "2 + 1252 = 1254"], "key": "four-digit-1254-5♣4♥9♣9♦7♦3♦2♦10♠K♠"} {"id": "train-four-digit-0624", "level": "four-digit", "target": 5401, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 12 * ((8 + 13) * (11 + 11) - 11) - 8 - 5", "solution_steps": ["8 + 13 = 21", "11 + 11 = 22", "21 × 22 = 462", "462 − 11 = 451", "12 × 451 = 5412", "5412 − 8 = 5404", "5404 − 5 = 5399", "2 + 5399 = 5401"], "key": "four-digit-5401-J♣2♦J♠Q♠J♦K♠5♦8♠8♥"} {"id": "train-four-digit-0625", "level": "four-digit", "target": 6632, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 8 + 13 + 13 + 6 * 10 * 10 * 11 - 3", "solution_steps": ["10 × 11 = 110", "10 × 110 = 1100", "6 × 1100 = 6600", "13 + 6600 = 6613", "13 + 6613 = 6626", "8 + 6626 = 6634", "6634 − 3 = 6631", "1 + 6631 = 6632"], "key": "four-digit-6632-6♣3♠J♠A♥10♥10♦K♥K♦8♣"} {"id": "train-four-digit-0626", "level": "four-digit", "target": 4929, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 4 + 4 + 6 * (9 * (10 * 10 - 8) - 8)", "solution_steps": ["10 × 10 = 100", "100 − 8 = 92", "9 × 92 = 828", "828 − 8 = 820", "6 × 820 = 4920", "4 + 4920 = 4924", "4 + 4924 = 4928", "1 + 4928 = 4929"], "key": "four-digit-4929-6♦8♠A♠4♠10♣9♥10♠8♥4♦"} {"id": "train-four-digit-0627", "level": "four-digit", "target": 8851, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "2 + 6 + 3 * 8 * (6 * 7 * 9 - 9) - 13", "solution_steps": ["7 × 9 = 63", "6 × 63 = 378", "378 − 9 = 369", "8 × 369 = 2952", "3 × 2952 = 8856", "8856 − 13 = 8843", "6 + 8843 = 8849", "2 + 8849 = 8851"], "key": "four-digit-8851-6♣3♥9♥6♥K♣2♠7♦8♠9♦"} {"id": "train-four-digit-0628", "level": "four-digit", "target": 2608, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "2 + 4 + 5 + 7 * (8 + 11 * (9 + 11 + 13))", "solution_steps": ["11 + 13 = 24", "9 + 24 = 33", "11 × 33 = 363", "8 + 363 = 371", "7 × 371 = 2597", "5 + 2597 = 2602", "4 + 2602 = 2606", "2 + 2606 = 2608"], "key": "four-digit-2608-K♠2♠5♠9♥J♣4♦J♦8♣7♠"} {"id": "train-four-digit-0629", "level": "four-digit", "target": 6608, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 4 + 10 * (7 * (9 * 12 - 13) - 4) - 8", "solution_steps": ["9 × 12 = 108", "108 − 13 = 95", "7 × 95 = 665", "665 − 4 = 661", "10 × 661 = 6610", "6610 − 8 = 6602", "4 + 6602 = 6606", "2 + 6606 = 6608"], "key": "four-digit-6608-8♣9♦7♦Q♦K♣4♠2♥10♣4♦"} {"id": "train-four-digit-0630", "level": "four-digit", "target": 5987, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 1 + 3 * 5 * (5 * 8 * 10 - 11 / 11)", "solution_steps": ["8 × 10 = 80", "5 × 80 = 400", "11 ÷ 11 = 1", "400 − 1 = 399", "5 × 399 = 1995", "3 × 1995 = 5985", "1 + 5985 = 5986", "1 + 5986 = 5987"], "key": "four-digit-5987-A♣10♥J♦3♠5♦J♠8♣A♥5♣"} {"id": "train-four-digit-0631", "level": "four-digit", "target": 5505, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 5 + 6 * (8 + 7 * 10 * (6 + 7)) - 9", "solution_steps": ["6 + 7 = 13", "10 × 13 = 130", "7 × 130 = 910", "8 + 910 = 918", "6 × 918 = 5508", "5508 − 9 = 5499", "5 + 5499 = 5504", "1 + 5504 = 5505"], "key": "four-digit-5505-7♣6♠6♦10♣A♥8♦9♣5♦7♥"} {"id": "train-four-digit-0632", "level": "four-digit", "target": 6945, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + 4 + 9 * (11 + 10 * (13 + 8 * 8) - 10)", "solution_steps": ["8 × 8 = 64", "13 + 64 = 77", "10 × 77 = 770", "11 + 770 = 781", "781 − 10 = 771", "9 × 771 = 6939", "4 + 6939 = 6943", "2 + 6943 = 6945"], "key": "four-digit-6945-8♥8♣J♥10♠10♦2♦9♥K♠4♦"} {"id": "train-four-digit-0633", "level": "four-digit", "target": 2946, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 3 + 3 * 4 * 7 * (10 + 5 * 5)", "solution_steps": ["5 × 5 = 25", "10 + 25 = 35", "7 × 35 = 245", "4 × 245 = 980", "3 × 980 = 2940", "3 + 2940 = 2943", "2 + 2943 = 2945", "1 + 2945 = 2946"], "key": "four-digit-2946-2♠5♦3♥5♠7♠3♦4♦10♠A♣"} {"id": "train-four-digit-0634", "level": "four-digit", "target": 8796, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 + 4 + 12 * (7 * 9 * 12 - 13 - 10) - 7", "solution_steps": ["9 × 12 = 108", "7 × 108 = 756", "756 − 13 = 743", "743 − 10 = 733", "12 × 733 = 8796", "8796 − 7 = 8789", "4 + 8789 = 8793", "3 + 8793 = 8796"], "key": "four-digit-8796-10♥9♠Q♠3♥7♣4♠K♦7♦Q♦"} {"id": "train-four-digit-0635", "level": "four-digit", "target": 3591, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 5 + 9 * (7 + 13) * (10 + 10) - 11 - 6", "solution_steps": ["7 + 13 = 20", "10 + 10 = 20", "20 × 20 = 400", "9 × 400 = 3600", "3600 − 11 = 3589", "3589 − 6 = 3583", "5 + 3583 = 3588", "3 + 3588 = 3591"], "key": "four-digit-3591-10♣3♣10♠5♠7♥K♥J♦9♠6♥"} {"id": "train-four-digit-0636", "level": "four-digit", "target": 9828, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 6 * 11 * (10 * (7 + 9) - 11) - 4 - 3", "solution_steps": ["7 + 9 = 16", "10 × 16 = 160", "160 − 11 = 149", "11 × 149 = 1639", "6 × 1639 = 9834", "9834 − 4 = 9830", "9830 − 3 = 9827", "1 + 9827 = 9828"], "key": "four-digit-9828-9♠J♥3♠J♦7♥4♥6♣10♠A♠"} {"id": "train-four-digit-0637", "level": "four-digit", "target": 2069, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 3 + 3 + 6 + (6 + 9) * (7 + 10 * 13)", "solution_steps": ["6 + 9 = 15", "10 × 13 = 130", "7 + 130 = 137", "15 × 137 = 2055", "6 + 2055 = 2061", "3 + 2061 = 2064", "3 + 2064 = 2067", "2 + 2067 = 2069"], "key": "four-digit-2069-K♠3♦6♦9♠2♥10♦7♠3♣6♣"} {"id": "train-four-digit-0638", "level": "four-digit", "target": 9833, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 3 + 7 * 8 * 11 * (6 + 10) - 3 * 9", "solution_steps": ["6 + 10 = 16", "11 × 16 = 176", "8 × 176 = 1408", "7 × 1408 = 9856", "3 × 9 = 27", "9856 − 27 = 9829", "3 + 9829 = 9832", "1 + 9832 = 9833"], "key": "four-digit-9833-10♠6♦A♣8♠3♠3♥9♦7♠J♥"} {"id": "train-four-digit-0639", "level": "four-digit", "target": 8792, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "7 + 8 + 9 + 8 * (8 + 10 * 10 * 11 - 12)", "solution_steps": ["10 × 11 = 110", "10 × 110 = 1100", "1100 − 12 = 1088", "8 + 1088 = 1096", "8 × 1096 = 8768", "9 + 8768 = 8777", "8 + 8777 = 8785", "7 + 8785 = 8792"], "key": "four-digit-8792-7♠Q♣J♠10♣8♠8♥10♦8♣9♦"} {"id": "train-four-digit-0640", "level": "four-digit", "target": 9898, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 4 + 5 * 9 * (5 + 6) * (10 + 10) - 7", "solution_steps": ["5 + 6 = 11", "10 + 10 = 20", "11 × 20 = 220", "9 × 220 = 1980", "5 × 1980 = 9900", "9900 − 7 = 9893", "4 + 9893 = 9897", "1 + 9897 = 9898"], "key": "four-digit-9898-10♠9♦5♣5♠A♥4♥6♠7♦10♦"} {"id": "train-four-digit-0641", "level": "four-digit", "target": 8534, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 4 + 7 + 9 * 12 * (7 + 6 * 12) - 11", "solution_steps": ["6 × 12 = 72", "7 + 72 = 79", "12 × 79 = 948", "9 × 948 = 8532", "8532 − 11 = 8521", "7 + 8521 = 8528", "4 + 8528 = 8532", "2 + 8532 = 8534"], "key": "four-digit-8534-9♠7♦2♦Q♠J♣7♠Q♣6♦4♣"} {"id": "train-four-digit-0642", "level": "four-digit", "target": 8260, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 1 + 10 + 8 * (12 * (6 + 8 * 10) - 1)", "solution_steps": ["8 × 10 = 80", "6 + 80 = 86", "12 × 86 = 1032", "1032 − 1 = 1031", "8 × 1031 = 8248", "10 + 8248 = 8258", "1 + 8258 = 8259", "1 + 8259 = 8260"], "key": "four-digit-8260-10♠8♣A♠10♦Q♥A♦6♣A♥8♦"} {"id": "train-four-digit-0643", "level": "four-digit", "target": 2129, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "6 + 6 + 11 * (9 * (11 + 12) - 13) - 10 - 7", "solution_steps": ["11 + 12 = 23", "9 × 23 = 207", "207 − 13 = 194", "11 × 194 = 2134", "2134 − 10 = 2124", "2124 − 7 = 2117", "6 + 2117 = 2123", "6 + 2123 = 2129"], "key": "four-digit-2129-10♠Q♣J♣K♠6♣J♦9♣7♠6♠"} {"id": "train-four-digit-0644", "level": "four-digit", "target": 4405, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 + 5 * (7 * (13 * 13 - 6 * 7) - 9)", "solution_steps": ["13 × 13 = 169", "6 × 7 = 42", "169 − 42 = 127", "7 × 127 = 889", "889 − 9 = 880", "5 × 880 = 4400", "3 + 4400 = 4403", "2 + 4403 = 4405"], "key": "four-digit-4405-6♠2♣7♦7♥K♦K♠5♠9♥3♦"} {"id": "train-four-digit-0645", "level": "four-digit", "target": 4908, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 1 + 11 * (3 + 12 * (5 * 8 - 3) - 1)", "solution_steps": ["5 × 8 = 40", "40 − 3 = 37", "12 × 37 = 444", "3 + 444 = 447", "447 − 1 = 446", "11 × 446 = 4906", "1 + 4906 = 4907", "1 + 4907 = 4908"], "key": "four-digit-4908-Q♠A♣A♥5♥3♠8♣A♠J♥3♥"} {"id": "train-four-digit-0646", "level": "four-digit", "target": 3388, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 3 + 7 * 11 * 11 * (12 + 12) / 6 - 4", "solution_steps": ["12 + 12 = 24", "11 × 24 = 264", "11 × 264 = 2904", "7 × 2904 = 20328", "20328 ÷ 6 = 3388", "3388 − 4 = 3384", "3 + 3384 = 3387", "1 + 3387 = 3388"], "key": "four-digit-3388-J♣Q♣J♠A♣6♠7♠4♠3♥Q♥"} {"id": "train-four-digit-0647", "level": "four-digit", "target": 3139, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 4 * (13 * (13 + 4 * (3 + 9)) - 8) - 3", "solution_steps": ["3 + 9 = 12", "4 × 12 = 48", "13 + 48 = 61", "13 × 61 = 793", "793 − 8 = 785", "4 × 785 = 3140", "3140 − 3 = 3137", "2 + 3137 = 3139"], "key": "four-digit-3139-3♠2♠4♦K♣3♦9♣8♦4♣K♦"} {"id": "train-four-digit-0648", "level": "four-digit", "target": 4330, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 1 + 4 * (6 * 7 * (13 + 13) - 5 - 5)", "solution_steps": ["13 + 13 = 26", "7 × 26 = 182", "6 × 182 = 1092", "1092 − 5 = 1087", "1087 − 5 = 1082", "4 × 1082 = 4328", "1 + 4328 = 4329", "1 + 4329 = 4330"], "key": "four-digit-4330-6♥5♥5♦A♣K♦K♥A♦4♦7♦"} {"id": "train-four-digit-0649", "level": "four-digit", "target": 9701, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 2 + 7 * 11 * (13 - 6) * (9 + 9) - 4", "solution_steps": ["13 − 6 = 7", "9 + 9 = 18", "7 × 18 = 126", "11 × 126 = 1386", "7 × 1386 = 9702", "9702 − 4 = 9698", "2 + 9698 = 9700", "1 + 9700 = 9701"], "key": "four-digit-9701-J♥9♥K♦9♣2♦7♥6♥A♥4♦"} {"id": "train-four-digit-0650", "level": "four-digit", "target": 6590, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 3 + 13 * 13 * (7 + 8 + 4 * 6) - 5", "solution_steps": ["4 × 6 = 24", "8 + 24 = 32", "7 + 32 = 39", "13 × 39 = 507", "13 × 507 = 6591", "6591 − 5 = 6586", "3 + 6586 = 6589", "1 + 6589 = 6590"], "key": "four-digit-6590-4♦3♠A♦6♦K♣7♦8♣K♥5♣"} {"id": "train-four-digit-0651", "level": "four-digit", "target": 5958, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 + 4 + 11 + 5 * 9 * (12 + 5 * (11 + 13))", "solution_steps": ["11 + 13 = 24", "5 × 24 = 120", "12 + 120 = 132", "9 × 132 = 1188", "5 × 1188 = 5940", "11 + 5940 = 5951", "4 + 5951 = 5955", "3 + 5955 = 5958"], "key": "four-digit-5958-K♠J♣9♠5♣5♠3♦4♦Q♣J♦"} {"id": "train-four-digit-0652", "level": "four-digit", "target": 2640, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 2 + 4 + 10 + 6 * (7 + 12) * (10 + 13)", "solution_steps": ["7 + 12 = 19", "10 + 13 = 23", "19 × 23 = 437", "6 × 437 = 2622", "10 + 2622 = 2632", "4 + 2632 = 2636", "2 + 2636 = 2638", "2 + 2638 = 2640"], "key": "four-digit-2640-4♣10♥10♣2♣7♥Q♥6♣2♥K♦"} {"id": "train-four-digit-0653", "level": "four-digit", "target": 6539, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 5 + 6 * 9 * (6 + 9 * 13 - 2) - 1", "solution_steps": ["9 × 13 = 117", "6 + 117 = 123", "123 − 2 = 121", "9 × 121 = 1089", "6 × 1089 = 6534", "5 + 6534 = 6539", "6539 − 1 = 6538", "1 + 6538 = 6539"], "key": "four-digit-6539-6♠A♥A♠9♣6♥2♠9♦5♠K♥"} {"id": "train-four-digit-0654", "level": "four-digit", "target": 7120, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 3 * (2 + 5) * (1 + 13 * (2 + 4 * 6))", "solution_steps": ["2 + 5 = 7", "4 × 6 = 24", "2 + 24 = 26", "13 × 26 = 338", "1 + 338 = 339", "7 × 339 = 2373", "3 × 2373 = 7119", "1 + 7119 = 7120"], "key": "four-digit-7120-2♣3♠K♠A♣2♠4♠A♠6♠5♦"} {"id": "train-four-digit-0655", "level": "four-digit", "target": 3507, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 1 + 5 + 7 * (6 * 12 * (3 + 4) - 4)", "solution_steps": ["3 + 4 = 7", "12 × 7 = 84", "6 × 84 = 504", "504 − 4 = 500", "7 × 500 = 3500", "5 + 3500 = 3505", "1 + 3505 = 3506", "1 + 3506 = 3507"], "key": "four-digit-3507-4♠A♠4♣3♦6♦A♥7♠Q♦5♥"} {"id": "train-four-digit-0656", "level": "four-digit", "target": 2715, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "3 + 4 + (11 + 13) * (10 * (5 + 7) - 7) - 4", "solution_steps": ["11 + 13 = 24", "5 + 7 = 12", "10 × 12 = 120", "120 − 7 = 113", "24 × 113 = 2712", "2712 − 4 = 2708", "4 + 2708 = 2712", "3 + 2712 = 2715"], "key": "four-digit-2715-4♦3♠K♦5♣7♠7♥4♥J♦10♥"} {"id": "train-four-digit-0657", "level": "four-digit", "target": 9368, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 3 + 5 * 6 * 12 * (4 * 8 - 6)", "solution_steps": ["4 × 8 = 32", "32 − 6 = 26", "12 × 26 = 312", "6 × 312 = 1872", "5 × 1872 = 9360", "3 + 9360 = 9363", "3 + 9363 = 9366", "2 + 9366 = 9368"], "key": "four-digit-9368-6♦6♥4♣Q♥3♦2♠8♦5♣3♠"} {"id": "train-four-digit-0658", "level": "four-digit", "target": 9638, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 3 + 11 * (12 + 6 * 9 * (6 + 10)) - 2", "solution_steps": ["6 + 10 = 16", "9 × 16 = 144", "6 × 144 = 864", "12 + 864 = 876", "11 × 876 = 9636", "3 + 9636 = 9639", "9639 − 2 = 9637", "1 + 9637 = 9638"], "key": "four-digit-9638-9♦3♦A♣2♦J♠6♣Q♣10♣6♥"} {"id": "train-four-digit-0659", "level": "four-digit", "target": 7213, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 5 + 6 + 4 * 5 * 9 * (10 + 5 * 6)", "solution_steps": ["5 × 6 = 30", "10 + 30 = 40", "9 × 40 = 360", "5 × 360 = 1800", "4 × 1800 = 7200", "6 + 7200 = 7206", "5 + 7206 = 7211", "2 + 7211 = 7213"], "key": "four-digit-7213-5♣6♠5♦6♥9♥4♣5♠10♥2♥"} {"id": "train-four-digit-0660", "level": "four-digit", "target": 9221, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "5 + 6 + 12 * (7 * (9 * 13 - 6) - 9) - 6", "solution_steps": ["9 × 13 = 117", "117 − 6 = 111", "7 × 111 = 777", "777 − 9 = 768", "12 × 768 = 9216", "9216 − 6 = 9210", "6 + 9210 = 9216", "5 + 9216 = 9221"], "key": "four-digit-9221-Q♣7♦9♠5♣6♥9♦6♠K♣6♣"} {"id": "train-four-digit-0661", "level": "four-digit", "target": 9251, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 4 + (5 + 8 * 8) * (5 + 12 + 9 * 13)", "solution_steps": ["8 × 8 = 64", "5 + 64 = 69", "9 × 13 = 117", "12 + 117 = 129", "5 + 129 = 134", "69 × 134 = 9246", "4 + 9246 = 9250", "1 + 9250 = 9251"], "key": "four-digit-9251-5♥8♣K♣4♣8♦Q♠A♥5♠9♣"} {"id": "train-four-digit-0662", "level": "four-digit", "target": 2844, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 3 + 5 + (6 + 9 + 11) * (13 + 8 * 12)", "solution_steps": ["9 + 11 = 20", "6 + 20 = 26", "8 × 12 = 96", "13 + 96 = 109", "26 × 109 = 2834", "5 + 2834 = 2839", "3 + 2839 = 2842", "2 + 2842 = 2844"], "key": "four-digit-2844-2♦8♥J♦K♥9♥Q♠5♦6♥3♥"} {"id": "train-four-digit-0663", "level": "four-digit", "target": 4070, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 2 + 6 + (8 + 10 + 13) * (12 * 12 - 13)", "solution_steps": ["10 + 13 = 23", "8 + 23 = 31", "12 × 12 = 144", "144 − 13 = 131", "31 × 131 = 4061", "6 + 4061 = 4067", "2 + 4067 = 4069", "1 + 4069 = 4070"], "key": "four-digit-4070-6♦2♠Q♣10♥K♠8♠K♥Q♦A♥"} {"id": "train-four-digit-0664", "level": "four-digit", "target": 3882, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 2 + (5 * 9 - 8) * (5 + 10 * 10) - 6", "solution_steps": ["5 × 9 = 45", "45 − 8 = 37", "10 × 10 = 100", "5 + 100 = 105", "37 × 105 = 3885", "3885 − 6 = 3879", "2 + 3879 = 3881", "1 + 3881 = 3882"], "key": "four-digit-3882-10♠9♠2♠5♦6♣8♥10♦5♣A♠"} {"id": "train-four-digit-0665", "level": "four-digit", "target": 4484, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "5 + 7 + 8 + 12 * (8 + 13 * (8 + 9 + 11))", "solution_steps": ["9 + 11 = 20", "8 + 20 = 28", "13 × 28 = 364", "8 + 364 = 372", "12 × 372 = 4464", "8 + 4464 = 4472", "7 + 4472 = 4479", "5 + 4479 = 4484"], "key": "four-digit-4484-J♣Q♣7♣8♦8♥9♣K♠8♣5♦"} {"id": "train-four-digit-0666", "level": "four-digit", "target": 1588, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 2 + 2 + 5 + 8 * 11 * (8 + 10) - 6", "solution_steps": ["8 + 10 = 18", "11 × 18 = 198", "8 × 198 = 1584", "1584 − 6 = 1578", "5 + 1578 = 1583", "2 + 1583 = 1585", "2 + 1585 = 1587", "1 + 1587 = 1588"], "key": "four-digit-1588-A♣2♥8♦J♥8♠5♣6♥10♣2♦"} {"id": "train-four-digit-0667", "level": "four-digit", "target": 7207, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 2 + 3 + 3 * 8 * 10 * 10 * (7 - 4)", "solution_steps": ["7 − 4 = 3", "10 × 3 = 30", "10 × 30 = 300", "8 × 300 = 2400", "3 × 2400 = 7200", "3 + 7200 = 7203", "2 + 7203 = 7205", "2 + 7205 = 7207"], "key": "four-digit-7207-8♠2♥4♥10♥3♥3♠2♣7♦10♦"} {"id": "train-four-digit-0668", "level": "four-digit", "target": 6793, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 2 + 3 + 13 * (10 + 8 * 8 * (12 - 4))", "solution_steps": ["12 − 4 = 8", "8 × 8 = 64", "8 × 64 = 512", "10 + 512 = 522", "13 × 522 = 6786", "3 + 6786 = 6789", "2 + 6789 = 6791", "2 + 6791 = 6793"], "key": "four-digit-6793-3♦2♣8♠4♦10♠8♥2♥Q♥K♣"} {"id": "train-four-digit-0669", "level": "four-digit", "target": 6502, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "2 + 4 + 4 * 7 * (8 / 8 + 11 * (10 + 11))", "solution_steps": ["8 ÷ 8 = 1", "10 + 11 = 21", "11 × 21 = 231", "1 + 231 = 232", "7 × 232 = 1624", "4 × 1624 = 6496", "4 + 6496 = 6500", "2 + 6500 = 6502"], "key": "four-digit-6502-7♥J♥J♣4♦8♥8♣10♣2♦4♠"} {"id": "train-four-digit-0670", "level": "four-digit", "target": 2762, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + 9 * (4 * 6 * 13 - 4) - 7 - 6", "solution_steps": ["6 × 13 = 78", "4 × 78 = 312", "312 − 4 = 308", "9 × 308 = 2772", "2772 − 7 = 2765", "2765 − 6 = 2759", "2 + 2759 = 2761", "1 + 2761 = 2762"], "key": "four-digit-2762-6♦4♣6♠2♠7♠9♥K♦A♦4♠"} {"id": "train-four-digit-0671", "level": "four-digit", "target": 1633, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "3 + 3 + 10 + 9 * (4 + 8) * (5 + 10) - 3", "solution_steps": ["4 + 8 = 12", "5 + 10 = 15", "12 × 15 = 180", "9 × 180 = 1620", "10 + 1620 = 1630", "1630 − 3 = 1627", "3 + 1627 = 1630", "3 + 1630 = 1633"], "key": "four-digit-1633-3♣3♥4♣3♠10♥5♦9♥8♥10♠"} {"id": "train-four-digit-0672", "level": "four-digit", "target": 1711, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 7 + 10 + 9 * (10 * (8 + 12) - 11) - 8", "solution_steps": ["8 + 12 = 20", "10 × 20 = 200", "200 − 11 = 189", "9 × 189 = 1701", "10 + 1701 = 1711", "1711 − 8 = 1703", "7 + 1703 = 1710", "1 + 1710 = 1711"], "key": "four-digit-1711-A♠10♣7♥8♦8♥9♣10♥J♦Q♣"} {"id": "train-four-digit-0673", "level": "four-digit", "target": 8092, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + 12 * (5 + 10) * (7 * 7 - 4) - 12", "solution_steps": ["5 + 10 = 15", "7 × 7 = 49", "49 − 4 = 45", "15 × 45 = 675", "12 × 675 = 8100", "8100 − 12 = 8088", "2 + 8088 = 8090", "2 + 8090 = 8092"], "key": "four-digit-8092-Q♥5♣10♠4♠Q♠2♦7♠7♣2♥"} {"id": "train-four-digit-0674", "level": "four-digit", "target": 5179, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 1 + 6 + 6 * 6 * 12 * (4 + 8) - 13", "solution_steps": ["4 + 8 = 12", "12 × 12 = 144", "6 × 144 = 864", "6 × 864 = 5184", "5184 − 13 = 5171", "6 + 5171 = 5177", "1 + 5177 = 5178", "1 + 5178 = 5179"], "key": "four-digit-5179-6♦8♣Q♠K♠A♥A♦6♣6♥4♥"} {"id": "train-four-digit-0675", "level": "four-digit", "target": 5529, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 4 + 11 * (4 * 8 * (4 + 12) - 9) - 10", "solution_steps": ["4 + 12 = 16", "8 × 16 = 128", "4 × 128 = 512", "512 − 9 = 503", "11 × 503 = 5533", "5533 − 10 = 5523", "4 + 5523 = 5527", "2 + 5527 = 5529"], "key": "four-digit-5529-J♣4♥4♦2♦9♥4♣10♣Q♠8♦"} {"id": "train-four-digit-0676", "level": "four-digit", "target": 3010, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "5 + 6 + 12 * (6 + 8) * (8 + 10) - 13 - 12", "solution_steps": ["6 + 8 = 14", "8 + 10 = 18", "14 × 18 = 252", "12 × 252 = 3024", "3024 − 13 = 3011", "3011 − 12 = 2999", "6 + 2999 = 3005", "5 + 3005 = 3010"], "key": "four-digit-3010-Q♠8♥Q♦K♣6♥6♦10♠8♣5♣"} {"id": "train-four-digit-0677", "level": "four-digit", "target": 8444, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "2 + 3 + (10 + 7 * 11) * (8 + 12 + 7 * 11)", "solution_steps": ["7 × 11 = 77", "10 + 77 = 87", "7 × 11 = 77", "12 + 77 = 89", "8 + 89 = 97", "87 × 97 = 8439", "3 + 8439 = 8442", "2 + 8442 = 8444"], "key": "four-digit-8444-J♣7♠2♠10♣7♦8♦3♦Q♣J♥"} {"id": "train-four-digit-0678", "level": "four-digit", "target": 1592, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 2 + 2 + 4 * 8 * 10 * (10 - 5) - 13", "solution_steps": ["10 − 5 = 5", "10 × 5 = 50", "8 × 50 = 400", "4 × 400 = 1600", "1600 − 13 = 1587", "2 + 1587 = 1589", "2 + 1589 = 1591", "1 + 1591 = 1592"], "key": "four-digit-1592-8♠A♦10♠K♣2♣4♣10♣5♦2♠"} {"id": "train-four-digit-0679", "level": "four-digit", "target": 7910, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 1 + 4 * 10 * (13 - 2) * (5 + 13) - 12", "solution_steps": ["13 − 2 = 11", "5 + 13 = 18", "11 × 18 = 198", "10 × 198 = 1980", "4 × 1980 = 7920", "7920 − 12 = 7908", "1 + 7908 = 7909", "1 + 7909 = 7910"], "key": "four-digit-7910-5♥10♥Q♥A♦A♠K♦K♠4♠2♦"} {"id": "train-four-digit-0680", "level": "four-digit", "target": 1602, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 1 + 6 * (3 * 5 + 4 * 7 * 9) - 2", "solution_steps": ["3 × 5 = 15", "7 × 9 = 63", "4 × 63 = 252", "15 + 252 = 267", "6 × 267 = 1602", "1602 − 2 = 1600", "1 + 1600 = 1601", "1 + 1601 = 1602"], "key": "four-digit-1602-6♣A♦9♦3♦A♥2♥5♣4♦7♦"} {"id": "train-four-digit-0681", "level": "four-digit", "target": 7377, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 4 + 5 * 9 * (4 + 10 * (6 + 10)) - 8", "solution_steps": ["6 + 10 = 16", "10 × 16 = 160", "4 + 160 = 164", "9 × 164 = 1476", "5 × 1476 = 7380", "7380 − 8 = 7372", "4 + 7372 = 7376", "1 + 7376 = 7377"], "key": "four-digit-7377-8♥5♣10♣6♠A♥4♦10♥4♠9♦"} {"id": "train-four-digit-0682", "level": "four-digit", "target": 4640, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 6 + 8 + (7 + 9) * (12 * (12 + 13) - 11)", "solution_steps": ["7 + 9 = 16", "12 + 13 = 25", "12 × 25 = 300", "300 − 11 = 289", "16 × 289 = 4624", "8 + 4624 = 4632", "6 + 4632 = 4638", "2 + 4638 = 4640"], "key": "four-digit-4640-J♦K♦7♠9♠6♣Q♥Q♠2♠8♥"} {"id": "train-four-digit-0683", "level": "four-digit", "target": 8142, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "2 + 2 + 4 + (7 + 7) * (5 + 6 * 8 * 12)", "solution_steps": ["7 + 7 = 14", "8 × 12 = 96", "6 × 96 = 576", "5 + 576 = 581", "14 × 581 = 8134", "4 + 8134 = 8138", "2 + 8138 = 8140", "2 + 8140 = 8142"], "key": "four-digit-8142-6♦Q♣2♥8♥2♠7♠7♦4♥5♠"} {"id": "train-four-digit-0684", "level": "four-digit", "target": 6987, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 5 + 8 + (9 * 10 - 6) * (13 + 7 * 10)", "solution_steps": ["9 × 10 = 90", "90 − 6 = 84", "7 × 10 = 70", "13 + 70 = 83", "84 × 83 = 6972", "8 + 6972 = 6980", "5 + 6980 = 6985", "2 + 6985 = 6987"], "key": "four-digit-6987-10♦5♦2♥9♣K♥10♠7♥8♦6♠"} {"id": "train-four-digit-0685", "level": "four-digit", "target": 2350, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "2 + 4 + 6 * (11 * 12 + 13 * (8 + 12)) - 8", "solution_steps": ["11 × 12 = 132", "8 + 12 = 20", "13 × 20 = 260", "132 + 260 = 392", "6 × 392 = 2352", "2352 − 8 = 2344", "4 + 2344 = 2348", "2 + 2348 = 2350"], "key": "four-digit-2350-K♣Q♥6♠2♦8♥4♠8♦J♣Q♣"} {"id": "train-four-digit-0686", "level": "four-digit", "target": 5818, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 3 + 4 * 13 * (4 + 6 * (6 + 12)) - 11", "solution_steps": ["6 + 12 = 18", "6 × 18 = 108", "4 + 108 = 112", "13 × 112 = 1456", "4 × 1456 = 5824", "5824 − 11 = 5813", "3 + 5813 = 5816", "2 + 5816 = 5818"], "key": "four-digit-5818-6♣J♦3♠4♥K♣4♣Q♦2♥6♠"} {"id": "train-four-digit-0687", "level": "four-digit", "target": 3184, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 4 + 8 * 8 * 10 * (12 - 7) - 13 - 8", "solution_steps": ["12 − 7 = 5", "10 × 5 = 50", "8 × 50 = 400", "8 × 400 = 3200", "3200 − 13 = 3187", "3187 − 8 = 3179", "4 + 3179 = 3183", "1 + 3183 = 3184"], "key": "four-digit-3184-10♠K♣7♦4♦8♦Q♣8♠A♠8♣"} {"id": "train-four-digit-0688", "level": "four-digit", "target": 7113, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 2 + 3 * 3 * 5 * (4 * 7 + 10 * 13)", "solution_steps": ["4 × 7 = 28", "10 × 13 = 130", "28 + 130 = 158", "5 × 158 = 790", "3 × 790 = 2370", "3 × 2370 = 7110", "2 + 7110 = 7112", "1 + 7112 = 7113"], "key": "four-digit-7113-5♥3♠10♦2♠3♣7♥K♦A♠4♥"} {"id": "train-four-digit-0689", "level": "four-digit", "target": 2284, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 1 + 2 + 3 * (12 * (10 + 6 * 9) - 8)", "solution_steps": ["6 × 9 = 54", "10 + 54 = 64", "12 × 64 = 768", "768 − 8 = 760", "3 × 760 = 2280", "2 + 2280 = 2282", "1 + 2282 = 2283", "1 + 2283 = 2284"], "key": "four-digit-2284-6♥8♥A♦9♣2♦3♦A♣10♥Q♠"} {"id": "train-four-digit-0690", "level": "four-digit", "target": 3787, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 3 + 6 * (9 + 4 * 12 * 13) - 11 - 5", "solution_steps": ["12 × 13 = 156", "4 × 156 = 624", "9 + 624 = 633", "6 × 633 = 3798", "3798 − 11 = 3787", "3787 − 5 = 3782", "3 + 3782 = 3785", "2 + 3785 = 3787"], "key": "four-digit-3787-2♣5♣J♣6♦Q♦9♣4♠K♣3♣"} {"id": "train-four-digit-0691", "level": "four-digit", "target": 2261, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 4 + 5 + 13 * (6 * 13 + 8 * 12) - 11", "solution_steps": ["6 × 13 = 78", "8 × 12 = 96", "78 + 96 = 174", "13 × 174 = 2262", "2262 − 11 = 2251", "5 + 2251 = 2256", "4 + 2256 = 2260", "1 + 2260 = 2261"], "key": "four-digit-2261-K♦J♥A♥6♠5♣8♠Q♠4♦K♥"} {"id": "train-four-digit-0692", "level": "four-digit", "target": 8949, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 4 + 8 * 12 * 13 * (7 + 6 * 6) / 6", "solution_steps": ["6 × 6 = 36", "7 + 36 = 43", "13 × 43 = 559", "12 × 559 = 6708", "8 × 6708 = 53664", "53664 ÷ 6 = 8944", "4 + 8944 = 8948", "1 + 8948 = 8949"], "key": "four-digit-8949-7♦8♥4♠K♥6♥6♦Q♣A♣6♣"} {"id": "train-four-digit-0693", "level": "four-digit", "target": 8880, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 3 + 7 * ((4 + 8) * (6 + 10 * 10) - 4)", "solution_steps": ["4 + 8 = 12", "10 × 10 = 100", "6 + 100 = 106", "12 × 106 = 1272", "1272 − 4 = 1268", "7 × 1268 = 8876", "3 + 8876 = 8879", "1 + 8879 = 8880"], "key": "four-digit-8880-3♠10♣6♥7♣A♠10♥4♠8♠4♣"} {"id": "train-four-digit-0694", "level": "four-digit", "target": 1958, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "3 + 5 + 6 + 8 * (13 + 12 * (7 + 13) - 10)", "solution_steps": ["7 + 13 = 20", "12 × 20 = 240", "13 + 240 = 253", "253 − 10 = 243", "8 × 243 = 1944", "6 + 1944 = 1950", "5 + 1950 = 1955", "3 + 1955 = 1958"], "key": "four-digit-1958-6♥K♣10♣3♠8♣K♦Q♣5♠7♦"} {"id": "train-four-digit-0695", "level": "four-digit", "target": 5220, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 1 + 3 + 5 * (11 + 12 * (9 * 11 - 13))", "solution_steps": ["9 × 11 = 99", "99 − 13 = 86", "12 × 86 = 1032", "11 + 1032 = 1043", "5 × 1043 = 5215", "3 + 5215 = 5218", "1 + 5218 = 5219", "1 + 5219 = 5220"], "key": "four-digit-5220-J♦J♣5♥A♣Q♦A♥9♣K♦3♦"} {"id": "train-four-digit-0696", "level": "four-digit", "target": 1488, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 4 + 10 * 12 * (6 + 7 * 8) / 5 - 5", "solution_steps": ["7 × 8 = 56", "6 + 56 = 62", "12 × 62 = 744", "10 × 744 = 7440", "7440 ÷ 5 = 1488", "1488 − 5 = 1483", "4 + 1483 = 1487", "1 + 1487 = 1488"], "key": "four-digit-1488-4♥7♦6♠8♣5♦10♠A♣5♠Q♠"} {"id": "train-four-digit-0697", "level": "four-digit", "target": 7536, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 4 + 9 + 4 * (8 + 8 * 9 * (13 + 13))", "solution_steps": ["13 + 13 = 26", "9 × 26 = 234", "8 × 234 = 1872", "8 + 1872 = 1880", "4 × 1880 = 7520", "9 + 7520 = 7529", "4 + 7529 = 7533", "3 + 7533 = 7536"], "key": "four-digit-7536-4♠K♦8♥8♦9♠K♥9♦4♣3♦"} {"id": "train-four-digit-0698", "level": "four-digit", "target": 4365, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "1 + 2 + 3 + 3 + 11 * (9 + 9) * (9 + 13)", "solution_steps": ["9 + 9 = 18", "9 + 13 = 22", "18 × 22 = 396", "11 × 396 = 4356", "3 + 4356 = 4359", "3 + 4359 = 4362", "2 + 4362 = 4364", "1 + 4364 = 4365"], "key": "four-digit-4365-3♠J♥3♦K♦9♠9♦9♥A♣2♣"} {"id": "train-four-digit-0699", "level": "four-digit", "target": 5865, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 2 + (3 + 12) * (4 * 9 * 11 - 5) - 3", "solution_steps": ["3 + 12 = 15", "9 × 11 = 99", "4 × 99 = 396", "396 − 5 = 391", "15 × 391 = 5865", "5865 − 3 = 5862", "2 + 5862 = 5864", "1 + 5864 = 5865"], "key": "four-digit-5865-A♥Q♦2♥9♥3♠J♦4♠3♣5♠"} {"id": "train-four-digit-0700", "level": "four-digit", "target": 1700, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 10 * ((3 + 9) * (4 + 11) - 10) - 3", "solution_steps": ["3 + 9 = 12", "4 + 11 = 15", "12 × 15 = 180", "180 − 10 = 170", "10 × 170 = 1700", "1700 − 3 = 1697", "2 + 1697 = 1699", "1 + 1699 = 1700"], "key": "four-digit-1700-9♠4♦3♦2♣3♠J♠10♠10♦A♣"} {"id": "train-four-digit-0701", "level": "four-digit", "target": 7177, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "4 + 4 + 6 * 13 + 6 * 7 * 13 * 13 - 7", "solution_steps": ["6 × 13 = 78", "13 × 13 = 169", "7 × 169 = 1183", "6 × 1183 = 7098", "78 + 7098 = 7176", "7176 − 7 = 7169", "4 + 7169 = 7173", "4 + 7173 = 7177"], "key": "four-digit-7177-6♠K♦4♣K♥7♥K♣7♦4♠6♣"} {"id": "train-four-digit-0702", "level": "four-digit", "target": 7168, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 2 + 8 * 8 * (12 + 5 * (9 + 11)) - 3", "solution_steps": ["9 + 11 = 20", "5 × 20 = 100", "12 + 100 = 112", "8 × 112 = 896", "8 × 896 = 7168", "7168 − 3 = 7165", "2 + 7165 = 7167", "1 + 7167 = 7168"], "key": "four-digit-7168-9♣5♠8♣2♥Q♣A♦3♦8♦J♣"} {"id": "train-four-digit-0703", "level": "four-digit", "target": 4463, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 2 + 10 * (12 + 6 * 13 * (4 + 13)) / 3", "solution_steps": ["4 + 13 = 17", "13 × 17 = 221", "6 × 221 = 1326", "12 + 1326 = 1338", "10 × 1338 = 13380", "13380 ÷ 3 = 4460", "2 + 4460 = 4462", "1 + 4462 = 4463"], "key": "four-digit-4463-2♠Q♣K♠10♦A♦K♣4♥6♣3♠"} {"id": "train-four-digit-0704", "level": "four-digit", "target": 4566, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 2 + 6 + 7 * (12 / 12 + 5 * 10 * 13)", "solution_steps": ["12 ÷ 12 = 1", "10 × 13 = 130", "5 × 130 = 650", "1 + 650 = 651", "7 × 651 = 4557", "6 + 4557 = 4563", "2 + 4563 = 4565", "1 + 4565 = 4566"], "key": "four-digit-4566-10♠6♠5♣2♥K♦A♦Q♥Q♦7♣"} {"id": "train-four-digit-0705", "level": "four-digit", "target": 3660, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 3 + 5 + 10 * (6 * 7 * 9 - 12) - 10", "solution_steps": ["7 × 9 = 63", "6 × 63 = 378", "378 − 12 = 366", "10 × 366 = 3660", "3660 − 10 = 3650", "5 + 3650 = 3655", "3 + 3655 = 3658", "2 + 3658 = 3660"], "key": "four-digit-3660-9♦2♥10♠5♣3♣7♦10♦Q♣6♠"} {"id": "train-four-digit-0706", "level": "four-digit", "target": 4495, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "3 + 3 + 4 + 5 * (9 + 8 * (10 * 12 - 9))", "solution_steps": ["10 × 12 = 120", "120 − 9 = 111", "8 × 111 = 888", "9 + 888 = 897", "5 × 897 = 4485", "4 + 4485 = 4489", "3 + 4489 = 4492", "3 + 4492 = 4495"], "key": "four-digit-4495-9♠3♠10♦4♥3♥Q♦8♥5♣9♦"} {"id": "train-four-digit-0707", "level": "four-digit", "target": 3382, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 1 + 5 + 3 * (3 + 6) * (11 * 12 - 7)", "solution_steps": ["3 + 6 = 9", "11 × 12 = 132", "132 − 7 = 125", "9 × 125 = 1125", "3 × 1125 = 3375", "5 + 3375 = 3380", "1 + 3380 = 3381", "1 + 3381 = 3382"], "key": "four-digit-3382-3♣J♠3♥A♠7♦5♥A♦Q♥6♣"} {"id": "train-four-digit-0708", "level": "four-digit", "target": 9008, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 4 + 7 * 7 * 8 * (11 + 12) - 10 - 5", "solution_steps": ["11 + 12 = 23", "8 × 23 = 184", "7 × 184 = 1288", "7 × 1288 = 9016", "9016 − 10 = 9006", "9006 − 5 = 9001", "4 + 9001 = 9005", "3 + 9005 = 9008"], "key": "four-digit-9008-4♠3♥7♥10♠Q♠J♦7♠5♥8♦"} {"id": "train-four-digit-0709", "level": "four-digit", "target": 4494, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "3 + 4 + 11 + 10 * (5 * 7 * 13 - 7) - 4", "solution_steps": ["7 × 13 = 91", "5 × 91 = 455", "455 − 7 = 448", "10 × 448 = 4480", "11 + 4480 = 4491", "4491 − 4 = 4487", "4 + 4487 = 4491", "3 + 4491 = 4494"], "key": "four-digit-4494-K♣7♦10♥7♥4♣4♥5♥J♠3♣"} {"id": "train-four-digit-0710", "level": "four-digit", "target": 4648, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 6 + 5 * 10 * (9 * 11 - 6) - 5 - 4", "solution_steps": ["9 × 11 = 99", "99 − 6 = 93", "10 × 93 = 930", "5 × 930 = 4650", "6 + 4650 = 4656", "4656 − 5 = 4651", "4651 − 4 = 4647", "1 + 4647 = 4648"], "key": "four-digit-4648-5♠9♣10♠6♥5♣J♠4♦6♣A♣"} {"id": "train-four-digit-0711", "level": "four-digit", "target": 1811, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "6 + 6 + 13 * (8 + 10 * (6 + 8) - 9) - 8", "solution_steps": ["6 + 8 = 14", "10 × 14 = 140", "140 − 9 = 131", "8 + 131 = 139", "13 × 139 = 1807", "1807 − 8 = 1799", "6 + 1799 = 1805", "6 + 1805 = 1811"], "key": "four-digit-1811-6♦8♠9♥10♣K♠6♥8♣8♦6♠"} {"id": "train-four-digit-0712", "level": "four-digit", "target": 8248, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 4 * ((3 + 13) * (11 * 12 - 3) - 2) - 1", "solution_steps": ["3 + 13 = 16", "11 × 12 = 132", "132 − 3 = 129", "16 × 129 = 2064", "2064 − 2 = 2062", "4 × 2062 = 8248", "8248 − 1 = 8247", "1 + 8247 = 8248"], "key": "four-digit-8248-A♣3♥4♠K♦2♥Q♠3♦A♠J♥"} {"id": "train-four-digit-0713", "level": "four-digit", "target": 2915, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 2 + 2 + 10 * (5 * (6 * 12 - 13) - 4)", "solution_steps": ["6 × 12 = 72", "72 − 13 = 59", "5 × 59 = 295", "295 − 4 = 291", "10 × 291 = 2910", "2 + 2910 = 2912", "2 + 2912 = 2914", "1 + 2914 = 2915"], "key": "four-digit-2915-5♦4♣2♠Q♥2♥10♣A♣K♣6♣"} {"id": "train-four-digit-0714", "level": "four-digit", "target": 2788, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 1 + 2 + (4 - 1) * (4 + 7 * 11 * 12)", "solution_steps": ["4 − 1 = 3", "11 × 12 = 132", "7 × 132 = 924", "4 + 924 = 928", "3 × 928 = 2784", "2 + 2784 = 2786", "1 + 2786 = 2787", "1 + 2787 = 2788"], "key": "four-digit-2788-7♦4♦2♣J♠A♦A♣A♠4♥Q♣"} {"id": "train-four-digit-0715", "level": "four-digit", "target": 4421, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 2 + 6 + 12 + 10 * 10 * 11 * (7 - 3)", "solution_steps": ["7 − 3 = 4", "11 × 4 = 44", "10 × 44 = 440", "10 × 440 = 4400", "12 + 4400 = 4412", "6 + 4412 = 4418", "2 + 4418 = 4420", "1 + 4420 = 4421"], "key": "four-digit-4421-Q♣3♣6♦10♦10♠J♠2♦7♣A♦"} {"id": "train-four-digit-0716", "level": "four-digit", "target": 5845, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "1 + 1 + 1 + (10 * 13 - 3) * (10 + 4 * 9)", "solution_steps": ["10 × 13 = 130", "130 − 3 = 127", "4 × 9 = 36", "10 + 36 = 46", "127 × 46 = 5842", "1 + 5842 = 5843", "1 + 5843 = 5844", "1 + 5844 = 5845"], "key": "four-digit-5845-A♣K♣A♦4♠10♥A♠10♦3♠9♠"} {"id": "train-four-digit-0717", "level": "four-digit", "target": 3311, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 2 + 8 + 3 * 10 * 10 * (6 + 12 - 7)", "solution_steps": ["12 − 7 = 5", "6 + 5 = 11", "10 × 11 = 110", "10 × 110 = 1100", "3 × 1100 = 3300", "8 + 3300 = 3308", "2 + 3308 = 3310", "1 + 3310 = 3311"], "key": "four-digit-3311-10♥A♣2♥6♠3♠8♠7♦10♦Q♣"} {"id": "train-four-digit-0718", "level": "four-digit", "target": 1477, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 2 + 3 + 3 * (4 * (8 + 9 * 13) - 10)", "solution_steps": ["9 × 13 = 117", "8 + 117 = 125", "4 × 125 = 500", "500 − 10 = 490", "3 × 490 = 1470", "3 + 1470 = 1473", "2 + 1473 = 1475", "2 + 1475 = 1477"], "key": "four-digit-1477-2♠8♣10♦4♣2♣3♣3♥9♣K♣"} {"id": "train-four-digit-0719", "level": "four-digit", "target": 5444, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 1 + 2 + 5 * (5 * 11 * (7 + 13) - 12)", "solution_steps": ["7 + 13 = 20", "11 × 20 = 220", "5 × 220 = 1100", "1100 − 12 = 1088", "5 × 1088 = 5440", "2 + 5440 = 5442", "1 + 5442 = 5443", "1 + 5443 = 5444"], "key": "four-digit-5444-5♣J♥2♠Q♣5♥A♦7♦A♣K♣"} {"id": "train-four-digit-0720", "level": "four-digit", "target": 8109, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 1 + 9 * (5 * 13 * (6 + 8) - 9) - 2", "solution_steps": ["6 + 8 = 14", "13 × 14 = 182", "5 × 182 = 910", "910 − 9 = 901", "9 × 901 = 8109", "8109 − 2 = 8107", "1 + 8107 = 8108", "1 + 8108 = 8109"], "key": "four-digit-8109-K♦A♥9♣6♠5♦8♦A♠9♥2♠"} {"id": "train-four-digit-0721", "level": "four-digit", "target": 9923, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 5 + 9 * (11 + 6 * 13 * (7 + 7)) - 10", "solution_steps": ["7 + 7 = 14", "13 × 14 = 182", "6 × 182 = 1092", "11 + 1092 = 1103", "9 × 1103 = 9927", "9927 − 10 = 9917", "5 + 9917 = 9922", "1 + 9922 = 9923"], "key": "four-digit-9923-A♣K♥6♣9♠10♦5♦J♥7♥7♠"} {"id": "train-four-digit-0722", "level": "four-digit", "target": 8501, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 * (9 * 11 * (4 * 12 - 5) - 4 - 3)", "solution_steps": ["4 × 12 = 48", "48 − 5 = 43", "11 × 43 = 473", "9 × 473 = 4257", "4257 − 4 = 4253", "4253 − 3 = 4250", "2 × 4250 = 8500", "1 + 8500 = 8501"], "key": "four-digit-8501-2♠3♦5♥J♣9♣4♥Q♠4♦A♣"} {"id": "train-four-digit-0723", "level": "four-digit", "target": 1896, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 + 4 + 7 * (6 + 9) * (5 + 5 + 8)", "solution_steps": ["6 + 9 = 15", "5 + 8 = 13", "5 + 13 = 18", "15 × 18 = 270", "7 × 270 = 1890", "4 + 1890 = 1894", "1 + 1894 = 1895", "1 + 1895 = 1896"], "key": "four-digit-1896-7♠5♣4♥8♣5♦9♦A♦6♥A♥"} {"id": "train-four-digit-0724", "level": "four-digit", "target": 8776, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 2 + 12 * (13 * (7 * 10 - 13) - 5 - 5)", "solution_steps": ["7 × 10 = 70", "70 − 13 = 57", "13 × 57 = 741", "741 − 5 = 736", "736 − 5 = 731", "12 × 731 = 8772", "2 + 8772 = 8774", "2 + 8774 = 8776"], "key": "four-digit-8776-10♦7♦5♥5♠Q♦K♠K♣2♥2♠"} {"id": "train-four-digit-0725", "level": "four-digit", "target": 4028, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "6 + 7 + (9 + 8 * 8) * (8 * 10 - 13 - 12)", "solution_steps": ["8 × 8 = 64", "9 + 64 = 73", "8 × 10 = 80", "80 − 13 = 67", "67 − 12 = 55", "73 × 55 = 4015", "7 + 4015 = 4022", "6 + 4022 = 4028"], "key": "four-digit-4028-8♥Q♠8♣6♥8♦K♥7♣9♦10♦"} {"id": "train-four-digit-0726", "level": "four-digit", "target": 9287, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "3 + 4 + 6 * 8 * 10 * (9 + 7 * 7) / 3", "solution_steps": ["7 × 7 = 49", "9 + 49 = 58", "10 × 58 = 580", "8 × 580 = 4640", "6 × 4640 = 27840", "27840 ÷ 3 = 9280", "4 + 9280 = 9284", "3 + 9284 = 9287"], "key": "four-digit-9287-6♦9♣8♥7♥4♥7♠3♠3♦10♦"} {"id": "train-four-digit-0727", "level": "four-digit", "target": 2257, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 4 + 6 + 13 + 9 * (13 * (9 + 11) - 12)", "solution_steps": ["9 + 11 = 20", "13 × 20 = 260", "260 − 12 = 248", "9 × 248 = 2232", "13 + 2232 = 2245", "6 + 2245 = 2251", "4 + 2251 = 2255", "2 + 2255 = 2257"], "key": "four-digit-2257-6♣9♣K♣4♠9♥Q♣K♥J♣2♥"} {"id": "train-four-digit-0728", "level": "four-digit", "target": 4045, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "3 + 6 + 13 * (11 + (7 + 8) * (9 + 11)) - 7", "solution_steps": ["7 + 8 = 15", "9 + 11 = 20", "15 × 20 = 300", "11 + 300 = 311", "13 × 311 = 4043", "4043 − 7 = 4036", "6 + 4036 = 4042", "3 + 4042 = 4045"], "key": "four-digit-4045-J♣8♥7♥K♥6♣7♦9♠3♥J♠"} {"id": "train-four-digit-0729", "level": "four-digit", "target": 5750, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 4 + 5 + 4 * (11 * (12 * 12 - 13) - 6)", "solution_steps": ["12 × 12 = 144", "144 − 13 = 131", "11 × 131 = 1441", "1441 − 6 = 1435", "4 × 1435 = 5740", "5 + 5740 = 5745", "4 + 5745 = 5749", "1 + 5749 = 5750"], "key": "four-digit-5750-4♥6♦4♠J♥K♠5♥A♥Q♥Q♣"} {"id": "train-four-digit-0730", "level": "four-digit", "target": 2207, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 2 + 3 + 6 * 8 * (5 * 10 - 4) - 7", "solution_steps": ["5 × 10 = 50", "50 − 4 = 46", "8 × 46 = 368", "6 × 368 = 2208", "2208 − 7 = 2201", "3 + 2201 = 2204", "2 + 2204 = 2206", "1 + 2206 = 2207"], "key": "four-digit-2207-3♣4♣6♦8♠5♦2♥7♠10♣A♣"} {"id": "train-four-digit-0731", "level": "four-digit", "target": 2508, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "3 + 4 + 5 + 12 * (6 + 10) * (10 + 10 - 7)", "solution_steps": ["6 + 10 = 16", "10 + 10 = 20", "20 − 7 = 13", "16 × 13 = 208", "12 × 208 = 2496", "5 + 2496 = 2501", "4 + 2501 = 2505", "3 + 2505 = 2508"], "key": "four-digit-2508-5♦10♣Q♥7♣4♥6♦10♥3♥10♠"} {"id": "train-four-digit-0732", "level": "four-digit", "target": 7450, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 4 + 5 + 6 * (10 + 10) * (8 + 6 * 9)", "solution_steps": ["10 + 10 = 20", "6 × 9 = 54", "8 + 54 = 62", "20 × 62 = 1240", "6 × 1240 = 7440", "5 + 7440 = 7445", "4 + 7445 = 7449", "1 + 7449 = 7450"], "key": "four-digit-7450-4♦8♦6♥10♥9♠10♣6♦A♦5♣"} {"id": "train-four-digit-0733", "level": "four-digit", "target": 7571, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 2 + 2 * 8 * 11 * (12 * (12 - 8) - 5)", "solution_steps": ["12 − 8 = 4", "12 × 4 = 48", "48 − 5 = 43", "11 × 43 = 473", "8 × 473 = 3784", "2 × 3784 = 7568", "2 + 7568 = 7570", "1 + 7570 = 7571"], "key": "four-digit-7571-8♦8♠Q♠2♠2♦J♠Q♥5♠A♦"} {"id": "train-four-digit-0734", "level": "four-digit", "target": 6681, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 1 * 5 * 8 * (7 + 10 * (3 * 8 - 8))", "solution_steps": ["3 × 8 = 24", "24 − 8 = 16", "10 × 16 = 160", "7 + 160 = 167", "8 × 167 = 1336", "5 × 1336 = 6680", "1 × 6680 = 6680", "1 + 6680 = 6681"], "key": "four-digit-6681-3♠8♦7♠8♠A♠A♦5♣10♦8♥"} {"id": "train-four-digit-0735", "level": "four-digit", "target": 2225, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 3 + 5 + 8 * (11 * 13 * (12 - 10) - 9)", "solution_steps": ["12 − 10 = 2", "13 × 2 = 26", "11 × 26 = 286", "286 − 9 = 277", "8 × 277 = 2216", "5 + 2216 = 2221", "3 + 2221 = 2224", "1 + 2224 = 2225"], "key": "four-digit-2225-J♠8♠5♠3♥A♥10♠Q♣9♠K♣"} {"id": "train-four-digit-0736", "level": "four-digit", "target": 8144, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 2 + 7 * (8 + 11 * (3 * 3 + 8 * 12))", "solution_steps": ["3 × 3 = 9", "8 × 12 = 96", "9 + 96 = 105", "11 × 105 = 1155", "8 + 1155 = 1163", "7 × 1163 = 8141", "2 + 8141 = 8143", "1 + 8143 = 8144"], "key": "four-digit-8144-8♥J♥3♣3♦A♥2♣7♠8♣Q♦"} {"id": "train-four-digit-0737", "level": "four-digit", "target": 4794, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 4 * 6 * (2 * 8 * 13 - 8) - 5 - 2", "solution_steps": ["8 × 13 = 104", "2 × 104 = 208", "208 − 8 = 200", "6 × 200 = 1200", "4 × 1200 = 4800", "4800 − 5 = 4795", "4795 − 2 = 4793", "1 + 4793 = 4794"], "key": "four-digit-4794-5♠4♠2♣A♠K♦2♥8♥8♦6♦"} {"id": "train-four-digit-0738", "level": "four-digit", "target": 7141, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "1 + 1 + 5 * (13 + 12 * (11 * 11 - 3)) - 6", "solution_steps": ["11 × 11 = 121", "121 − 3 = 118", "12 × 118 = 1416", "13 + 1416 = 1429", "5 × 1429 = 7145", "7145 − 6 = 7139", "1 + 7139 = 7140", "1 + 7140 = 7141"], "key": "four-digit-7141-A♣6♣5♥J♦3♥Q♦J♠A♠K♦"} {"id": "train-four-digit-0739", "level": "four-digit", "target": 3264, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + 4 * (8 + 8 * (9 * 12 - 7)) - 3", "solution_steps": ["9 × 12 = 108", "108 − 7 = 101", "8 × 101 = 808", "8 + 808 = 816", "4 × 816 = 3264", "3264 − 3 = 3261", "2 + 3261 = 3263", "1 + 3263 = 3264"], "key": "four-digit-3264-7♥8♣2♥3♦Q♣8♥A♣9♠4♠"} {"id": "train-four-digit-0740", "level": "four-digit", "target": 8949, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 2 + 3 * 7 * (10 + 8 * (5 * 11 - 3))", "solution_steps": ["5 × 11 = 55", "55 − 3 = 52", "8 × 52 = 416", "10 + 416 = 426", "7 × 426 = 2982", "3 × 2982 = 8946", "2 + 8946 = 8948", "1 + 8948 = 8949"], "key": "four-digit-8949-10♥8♣2♦J♦5♣3♥A♦3♦7♦"} {"id": "train-four-digit-0741", "level": "four-digit", "target": 1112, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 2 + 2 + 9 * (4 + 7 + 8 * (6 + 8))", "solution_steps": ["6 + 8 = 14", "8 × 14 = 112", "7 + 112 = 119", "4 + 119 = 123", "9 × 123 = 1107", "2 + 1107 = 1109", "2 + 1109 = 1111", "1 + 1111 = 1112"], "key": "four-digit-1112-7♣9♦2♦4♠8♣6♥8♥2♣A♠"} {"id": "train-four-digit-0742", "level": "four-digit", "target": 1959, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "3 + 4 + (7 + 13) * (8 + 5 * 8 * 12) / 5", "solution_steps": ["7 + 13 = 20", "8 × 12 = 96", "5 × 96 = 480", "8 + 480 = 488", "20 × 488 = 9760", "9760 ÷ 5 = 1952", "4 + 1952 = 1956", "3 + 1956 = 1959"], "key": "four-digit-1959-8♦8♠K♠5♦4♠Q♠7♥3♦5♣"} {"id": "train-four-digit-0743", "level": "four-digit", "target": 3952, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "1 + 1 + 6 + 7 * (6 * 8 * 12 - 12) - 4", "solution_steps": ["8 × 12 = 96", "6 × 96 = 576", "576 − 12 = 564", "7 × 564 = 3948", "6 + 3948 = 3954", "3954 − 4 = 3950", "1 + 3950 = 3951", "1 + 3951 = 3952"], "key": "four-digit-3952-Q♦7♣6♥8♠A♦4♦A♠6♣Q♠"} {"id": "train-four-digit-0744", "level": "four-digit", "target": 9370, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "3 + 3 + 7 + 8 * 9 * 13 * (4 + 6) - 3", "solution_steps": ["4 + 6 = 10", "13 × 10 = 130", "9 × 130 = 1170", "8 × 1170 = 9360", "7 + 9360 = 9367", "9367 − 3 = 9364", "3 + 9364 = 9367", "3 + 9367 = 9370"], "key": "four-digit-9370-7♠9♥4♣K♠3♦3♣3♠8♣6♠"} {"id": "train-four-digit-0745", "level": "four-digit", "target": 3217, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "3 + 5 + 8 * (11 + (6 + 11) * (10 + 13)) - 7", "solution_steps": ["6 + 11 = 17", "10 + 13 = 23", "17 × 23 = 391", "11 + 391 = 402", "8 × 402 = 3216", "3216 − 7 = 3209", "5 + 3209 = 3214", "3 + 3214 = 3217"], "key": "four-digit-3217-K♣6♠10♣J♠7♠8♣5♠3♣J♥"} {"id": "train-four-digit-0746", "level": "four-digit", "target": 8580, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 2 + 9 + 7 * 8 * (13 * 13 - 12 - 4)", "solution_steps": ["13 × 13 = 169", "169 − 12 = 157", "157 − 4 = 153", "8 × 153 = 1224", "7 × 1224 = 8568", "9 + 8568 = 8577", "2 + 8577 = 8579", "1 + 8579 = 8580"], "key": "four-digit-8580-8♣Q♦2♠4♣A♣7♠K♠9♠K♥"} {"id": "train-four-digit-0747", "level": "four-digit", "target": 2974, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 4 + 5 + 6 * ((10 + 13) * (11 + 11) - 12)", "solution_steps": ["10 + 13 = 23", "11 + 11 = 22", "23 × 22 = 506", "506 − 12 = 494", "6 × 494 = 2964", "5 + 2964 = 2969", "4 + 2969 = 2973", "1 + 2973 = 2974"], "key": "four-digit-2974-6♣A♣10♥Q♦4♥K♠J♣5♦J♥"} {"id": "train-four-digit-0748", "level": "four-digit", "target": 2426, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 5 + 5 * (8 * 8 * 8 - 12 - 10 - 6)", "solution_steps": ["8 × 8 = 64", "8 × 64 = 512", "512 − 12 = 500", "500 − 10 = 490", "490 − 6 = 484", "5 × 484 = 2420", "5 + 2420 = 2425", "1 + 2425 = 2426"], "key": "four-digit-2426-6♠5♥5♠10♣Q♠A♠8♣8♦8♥"} {"id": "train-four-digit-0749", "level": "four-digit", "target": 5734, "cards": [{"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "3 + 3 + 9 * 13 * (6 * 8 + 12 / 12) - 5", "solution_steps": ["6 × 8 = 48", "12 ÷ 12 = 1", "48 + 1 = 49", "13 × 49 = 637", "9 × 637 = 5733", "5733 − 5 = 5728", "3 + 5728 = 5731", "3 + 5731 = 5734"], "key": "four-digit-5734-5♦3♣3♥K♣8♣Q♣6♦9♠Q♠"} {"id": "train-four-digit-0750", "level": "four-digit", "target": 9258, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "1 + 1 + 13 * (9 * 10 - 1) * (5 + 6 / 2)", "solution_steps": ["9 × 10 = 90", "90 − 1 = 89", "6 ÷ 2 = 3", "5 + 3 = 8", "89 × 8 = 712", "13 × 712 = 9256", "1 + 9256 = 9257", "1 + 9257 = 9258"], "key": "four-digit-9258-5♣A♣6♥2♠9♠A♥10♥A♦K♣"} {"id": "train-four-digit-0751", "level": "four-digit", "target": 1049, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 3 + 3 + 4 + 6 * (7 + 10 + 12 * 13)", "solution_steps": ["12 × 13 = 156", "10 + 156 = 166", "7 + 166 = 173", "6 × 173 = 1038", "4 + 1038 = 1042", "3 + 1042 = 1045", "3 + 1045 = 1048", "1 + 1048 = 1049"], "key": "four-digit-1049-4♣A♥3♦Q♦3♣10♥7♠K♣6♠"} {"id": "train-four-digit-0752", "level": "four-digit", "target": 2308, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 5 + 7 + 8 * 8 * (11 + 12 + 13) - 9", "solution_steps": ["12 + 13 = 25", "11 + 25 = 36", "8 × 36 = 288", "8 × 288 = 2304", "2304 − 9 = 2295", "7 + 2295 = 2302", "5 + 2302 = 2307", "1 + 2307 = 2308"], "key": "four-digit-2308-J♦A♣8♦K♣9♠7♦Q♣8♠5♦"} {"id": "train-four-digit-0753", "level": "four-digit", "target": 8580, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 3 + 5 + 11 + 10 * (8 * 9 * 12 - 8)", "solution_steps": ["9 × 12 = 108", "8 × 108 = 864", "864 − 8 = 856", "10 × 856 = 8560", "11 + 8560 = 8571", "5 + 8571 = 8576", "3 + 8576 = 8579", "1 + 8579 = 8580"], "key": "four-digit-8580-3♦9♥8♥A♣5♦8♣Q♦J♥10♥"} {"id": "train-four-digit-0754", "level": "four-digit", "target": 9801, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "4 + 5 + 13 * 13 * (7 * 11 - 12 - 7) - 10", "solution_steps": ["7 × 11 = 77", "77 − 12 = 65", "65 − 7 = 58", "13 × 58 = 754", "13 × 754 = 9802", "9802 − 10 = 9792", "5 + 9792 = 9797", "4 + 9797 = 9801"], "key": "four-digit-9801-10♦K♦Q♦K♥7♠4♦J♠7♥5♠"} {"id": "train-four-digit-0755", "level": "four-digit", "target": 2301, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "1 + 2 + 3 + 7 + 11 * (12 + 4 * 7 * 7)", "solution_steps": ["7 × 7 = 49", "4 × 49 = 196", "12 + 196 = 208", "11 × 208 = 2288", "7 + 2288 = 2295", "3 + 2295 = 2298", "2 + 2298 = 2300", "1 + 2300 = 2301"], "key": "four-digit-2301-J♥7♥A♥3♥7♣2♠4♠Q♦7♠"} {"id": "train-four-digit-0756", "level": "four-digit", "target": 6113, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "H", "label": "9♥"}], "solution": "2 + 5 + 9 + 13 * (10 + 6 * 6 * 13 - 9)", "solution_steps": ["6 × 13 = 78", "6 × 78 = 468", "10 + 468 = 478", "478 − 9 = 469", "13 × 469 = 6097", "9 + 6097 = 6106", "5 + 6106 = 6111", "2 + 6111 = 6113"], "key": "four-digit-6113-K♥5♠K♦6♦6♥9♦10♠2♠9♥"} {"id": "train-four-digit-0757", "level": "four-digit", "target": 8297, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 4 + 11 + 7 * 8 * (4 + 12 * 12) - 9", "solution_steps": ["12 × 12 = 144", "4 + 144 = 148", "8 × 148 = 1184", "7 × 1184 = 8288", "11 + 8288 = 8299", "8299 − 9 = 8290", "4 + 8290 = 8294", "3 + 8294 = 8297"], "key": "four-digit-8297-Q♦8♥4♣9♣7♦4♥Q♥J♠3♠"} {"id": "train-four-digit-0758", "level": "four-digit", "target": 1082, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 5 + 6 + 7 + 10 + 9 * (7 + 10 * 11)", "solution_steps": ["10 × 11 = 110", "7 + 110 = 117", "9 × 117 = 1053", "10 + 1053 = 1063", "7 + 1063 = 1070", "6 + 1070 = 1076", "5 + 1076 = 1081", "1 + 1081 = 1082"], "key": "four-digit-1082-7♦10♠5♦J♠A♦7♥9♥6♣10♦"} {"id": "train-four-digit-0759", "level": "four-digit", "target": 7952, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 * 13 * (6 + 2 * 9 * 11) - 3 - 2", "solution_steps": ["9 × 11 = 99", "2 × 99 = 198", "6 + 198 = 204", "13 × 204 = 2652", "3 × 2652 = 7956", "7956 − 3 = 7953", "7953 − 2 = 7951", "1 + 7951 = 7952"], "key": "four-digit-7952-2♦A♦9♠J♠6♠K♠2♣3♣3♠"} {"id": "train-four-digit-0760", "level": "four-digit", "target": 9123, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 3 + 11 * (13 * 13 + 5 * (12 * 12 - 12))", "solution_steps": ["13 × 13 = 169", "12 × 12 = 144", "144 − 12 = 132", "5 × 132 = 660", "169 + 660 = 829", "11 × 829 = 9119", "3 + 9119 = 9122", "1 + 9122 = 9123"], "key": "four-digit-9123-J♣Q♠5♦3♠Q♥A♠K♥Q♣K♠"} {"id": "train-four-digit-0761", "level": "four-digit", "target": 1620, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 2 + 3 * 9 * (5 * (4 + 9) - 5) - 3", "solution_steps": ["4 + 9 = 13", "5 × 13 = 65", "65 − 5 = 60", "9 × 60 = 540", "3 × 540 = 1620", "1620 − 3 = 1617", "2 + 1617 = 1619", "1 + 1619 = 1620"], "key": "four-digit-1620-2♣9♣4♦5♥3♠A♥3♥5♣9♦"} {"id": "train-four-digit-0762", "level": "four-digit", "target": 2530, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 1 + 3 + 9 * (4 * 6 * 12 - 6) - 13", "solution_steps": ["6 × 12 = 72", "4 × 72 = 288", "288 − 6 = 282", "9 × 282 = 2538", "2538 − 13 = 2525", "3 + 2525 = 2528", "1 + 2528 = 2529", "1 + 2529 = 2530"], "key": "four-digit-2530-3♥4♣A♦6♥Q♥A♥6♠9♦K♠"} {"id": "train-four-digit-0763", "level": "four-digit", "target": 5338, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 3 + 6 + 8 * (13 - 7) * (10 * 12 - 9)", "solution_steps": ["13 − 7 = 6", "10 × 12 = 120", "120 − 9 = 111", "6 × 111 = 666", "8 × 666 = 5328", "6 + 5328 = 5334", "3 + 5334 = 5337", "1 + 5337 = 5338"], "key": "four-digit-5338-9♦K♣7♥3♠Q♥A♥6♦8♠10♠"} {"id": "train-four-digit-0764", "level": "four-digit", "target": 7292, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 2 + 13 + 8 * 10 * (9 * 11 - 8) - 5", "solution_steps": ["9 × 11 = 99", "99 − 8 = 91", "10 × 91 = 910", "8 × 910 = 7280", "13 + 7280 = 7293", "7293 − 5 = 7288", "2 + 7288 = 7290", "2 + 7290 = 7292"], "key": "four-digit-7292-9♦8♠2♠K♦2♦5♥10♣J♣8♦"} {"id": "train-four-digit-0765", "level": "four-digit", "target": 1292, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "3 + 4 + 5 + 8 * 8 * (9 + 10 + 11 - 10)", "solution_steps": ["10 + 11 = 21", "21 − 10 = 11", "9 + 11 = 20", "8 × 20 = 160", "8 × 160 = 1280", "5 + 1280 = 1285", "4 + 1285 = 1289", "3 + 1289 = 1292"], "key": "four-digit-1292-10♣8♦9♥J♥5♥10♦3♥4♦8♣"} {"id": "train-four-digit-0766", "level": "four-digit", "target": 4554, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 2 + 5 * (10 + 9 * (4 + 8 * (4 + 8)))", "solution_steps": ["4 + 8 = 12", "8 × 12 = 96", "4 + 96 = 100", "9 × 100 = 900", "10 + 900 = 910", "5 × 910 = 4550", "2 + 4550 = 4552", "2 + 4552 = 4554"], "key": "four-digit-4554-9♠8♠2♠2♣5♥10♠4♥4♣8♥"} {"id": "train-four-digit-0767", "level": "four-digit", "target": 3279, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 3 + 11 + 4 * (13 + 11 * (3 + 7 * 10))", "solution_steps": ["7 × 10 = 70", "3 + 70 = 73", "11 × 73 = 803", "13 + 803 = 816", "4 × 816 = 3264", "11 + 3264 = 3275", "3 + 3275 = 3278", "1 + 3278 = 3279"], "key": "four-digit-3279-4♥3♦K♣3♣A♠10♣J♠7♥J♣"} {"id": "train-four-digit-0768", "level": "four-digit", "target": 2836, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 3 + 3 * (4 + 10 * (10 + 6 * (3 + 11)))", "solution_steps": ["3 + 11 = 14", "6 × 14 = 84", "10 + 84 = 94", "10 × 94 = 940", "4 + 940 = 944", "3 × 944 = 2832", "3 + 2832 = 2835", "1 + 2835 = 2836"], "key": "four-digit-2836-10♠10♣4♣3♦A♥3♠J♣6♠3♥"} {"id": "train-four-digit-0769", "level": "four-digit", "target": 4274, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "2 + 2 + 5 * (7 + 11 * 11 * (3 * 6 - 11))", "solution_steps": ["3 × 6 = 18", "18 − 11 = 7", "11 × 7 = 77", "11 × 77 = 847", "7 + 847 = 854", "5 × 854 = 4270", "2 + 4270 = 4272", "2 + 4272 = 4274"], "key": "four-digit-4274-6♦2♠7♠5♣J♠2♣J♦3♠J♣"} {"id": "train-four-digit-0770", "level": "four-digit", "target": 4653, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "4 + 4 + 5 + 8 * (9 * 13 * (12 - 7) - 5)", "solution_steps": ["12 − 7 = 5", "13 × 5 = 65", "9 × 65 = 585", "585 − 5 = 580", "8 × 580 = 4640", "5 + 4640 = 4645", "4 + 4645 = 4649", "4 + 4649 = 4653"], "key": "four-digit-4653-4♦7♥Q♥K♠8♥4♣9♦5♠5♥"} {"id": "train-four-digit-0771", "level": "four-digit", "target": 6273, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "3 + 5 + 6 * (6 + 13) * (7 + 6 * 8) - 5", "solution_steps": ["6 + 13 = 19", "6 × 8 = 48", "7 + 48 = 55", "19 × 55 = 1045", "6 × 1045 = 6270", "6270 − 5 = 6265", "5 + 6265 = 6270", "3 + 6270 = 6273"], "key": "four-digit-6273-8♣K♥6♠6♦6♥3♦5♦5♣7♠"} {"id": "train-four-digit-0772", "level": "four-digit", "target": 6336, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 2 + 10 * (10 + 4 * 12 * (4 + 9)) - 7", "solution_steps": ["4 + 9 = 13", "12 × 13 = 156", "4 × 156 = 624", "10 + 624 = 634", "10 × 634 = 6340", "6340 − 7 = 6333", "2 + 6333 = 6335", "1 + 6335 = 6336"], "key": "four-digit-6336-4♦10♣7♦2♦4♠9♣Q♦A♠10♠"} {"id": "train-four-digit-0773", "level": "four-digit", "target": 9895, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + 2 + 7 * (3 * 11 * (5 * 10 - 7) - 6)", "solution_steps": ["5 × 10 = 50", "50 − 7 = 43", "11 × 43 = 473", "3 × 473 = 1419", "1419 − 6 = 1413", "7 × 1413 = 9891", "2 + 9891 = 9893", "2 + 9893 = 9895"], "key": "four-digit-9895-10♦2♣7♦J♥7♣2♦3♥5♦6♦"} {"id": "train-four-digit-0774", "level": "four-digit", "target": 5553, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 8 + 13 * (11 + 13 * (9 + 11 + 12)) - 8", "solution_steps": ["11 + 12 = 23", "9 + 23 = 32", "13 × 32 = 416", "11 + 416 = 427", "13 × 427 = 5551", "5551 − 8 = 5543", "8 + 5543 = 5551", "2 + 5551 = 5553"], "key": "four-digit-5553-8♠K♠K♥J♦2♠J♥Q♥9♣8♦"} {"id": "train-four-digit-0775", "level": "four-digit", "target": 8359, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 7 * (4 + 5 * (11 * 11 + 9 * (4 + 9)))", "solution_steps": ["11 × 11 = 121", "4 + 9 = 13", "9 × 13 = 117", "121 + 117 = 238", "5 × 238 = 1190", "4 + 1190 = 1194", "7 × 1194 = 8358", "1 + 8358 = 8359"], "key": "four-digit-8359-J♠9♥5♠4♣J♦4♥9♦A♠7♥"} {"id": "train-four-digit-0776", "level": "four-digit", "target": 7254, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "1 + 5 + 12 * (9 * (9 * 9 - 10) - 5 * 7)", "solution_steps": ["9 × 9 = 81", "81 − 10 = 71", "9 × 71 = 639", "5 × 7 = 35", "639 − 35 = 604", "12 × 604 = 7248", "5 + 7248 = 7253", "1 + 7253 = 7254"], "key": "four-digit-7254-Q♥A♦9♦5♣10♦9♥9♠7♦5♦"} {"id": "train-four-digit-0777", "level": "four-digit", "target": 1369, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 3 + 4 + 5 * (5 + 11) * (7 + 10)", "solution_steps": ["5 + 11 = 16", "7 + 10 = 17", "16 × 17 = 272", "5 × 272 = 1360", "4 + 1360 = 1364", "3 + 1364 = 1367", "1 + 1367 = 1368", "1 + 1368 = 1369"], "key": "four-digit-1369-A♦J♥5♣7♥5♥4♦10♦3♥A♣"} {"id": "train-four-digit-0778", "level": "four-digit", "target": 4132, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 2 + 9 + 3 * 9 * (10 + 11 * 13) - 11", "solution_steps": ["11 × 13 = 143", "10 + 143 = 153", "9 × 153 = 1377", "3 × 1377 = 4131", "4131 − 11 = 4120", "9 + 4120 = 4129", "2 + 4129 = 4131", "1 + 4131 = 4132"], "key": "four-digit-4132-J♠10♥J♥9♠9♥3♦A♠K♠2♦"} {"id": "train-four-digit-0779", "level": "four-digit", "target": 8427, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 10 * (8 * (10 * 13 - 12 - 11) - 13) - 4", "solution_steps": ["10 × 13 = 130", "130 − 12 = 118", "118 − 11 = 107", "8 × 107 = 856", "856 − 13 = 843", "10 × 843 = 8430", "8430 − 4 = 8426", "1 + 8426 = 8427"], "key": "four-digit-8427-K♣K♥4♠A♥10♠8♣10♥J♥Q♦"} {"id": "train-four-digit-0780", "level": "four-digit", "target": 1087, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "2 + 3 + 4 + 6 * (11 * (5 + 12) - 6) - 8", "solution_steps": ["5 + 12 = 17", "11 × 17 = 187", "187 − 6 = 181", "6 × 181 = 1086", "1086 − 8 = 1078", "4 + 1078 = 1082", "3 + 1082 = 1085", "2 + 1085 = 1087"], "key": "four-digit-1087-4♥6♣2♥J♥8♠3♣6♥5♠Q♣"} {"id": "train-four-digit-0781", "level": "four-digit", "target": 1002, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 4 + 4 + 9 + 12 * (7 * 13 - 8) - 12", "solution_steps": ["7 × 13 = 91", "91 − 8 = 83", "12 × 83 = 996", "996 − 12 = 984", "9 + 984 = 993", "4 + 993 = 997", "4 + 997 = 1001", "1 + 1001 = 1002"], "key": "four-digit-1002-4♣Q♥K♦7♣Q♦A♠4♠9♦8♦"} {"id": "train-four-digit-0782", "level": "four-digit", "target": 3649, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "3 + 4 + 11 + 9 * (12 + 7 * 7 * 8) - 5", "solution_steps": ["7 × 8 = 56", "7 × 56 = 392", "12 + 392 = 404", "9 × 404 = 3636", "11 + 3636 = 3647", "3647 − 5 = 3642", "4 + 3642 = 3646", "3 + 3646 = 3649"], "key": "four-digit-3649-7♥Q♥5♥8♠7♠9♥3♠J♠4♠"} {"id": "train-four-digit-0783", "level": "four-digit", "target": 1426, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "4 + 7 + 7 + 11 * (10 * (9 + 12 - 7) - 12)", "solution_steps": ["9 + 12 = 21", "21 − 7 = 14", "10 × 14 = 140", "140 − 12 = 128", "11 × 128 = 1408", "7 + 1408 = 1415", "7 + 1415 = 1422", "4 + 1422 = 1426"], "key": "four-digit-1426-9♦7♥7♦7♣Q♦10♠4♣J♣Q♠"} {"id": "train-four-digit-0784", "level": "four-digit", "target": 8478, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "1 + 2 + 5 * 5 * (9 + 5 * (7 * 10 - 4))", "solution_steps": ["7 × 10 = 70", "70 − 4 = 66", "5 × 66 = 330", "9 + 330 = 339", "5 × 339 = 1695", "5 × 1695 = 8475", "2 + 8475 = 8477", "1 + 8477 = 8478"], "key": "four-digit-8478-5♥7♠10♦2♠5♣9♠5♦A♣4♦"} {"id": "train-four-digit-0785", "level": "four-digit", "target": 6739, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + 10 * (8 * (13 + 6 * 12) - 5) - 13", "solution_steps": ["6 × 12 = 72", "13 + 72 = 85", "8 × 85 = 680", "680 − 5 = 675", "10 × 675 = 6750", "6750 − 13 = 6737", "1 + 6737 = 6738", "1 + 6738 = 6739"], "key": "four-digit-6739-K♠A♣5♣Q♠10♥6♦8♠K♥A♦"} {"id": "train-four-digit-0786", "level": "four-digit", "target": 6745, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 2 * (12 * (7 + 11 * (12 + 13)) - 8 - 4)", "solution_steps": ["12 + 13 = 25", "11 × 25 = 275", "7 + 275 = 282", "12 × 282 = 3384", "3384 − 8 = 3376", "3376 − 4 = 3372", "2 × 3372 = 6744", "1 + 6744 = 6745"], "key": "four-digit-6745-7♠4♥Q♠Q♥K♣A♣2♦J♣8♥"} {"id": "train-four-digit-0787", "level": "four-digit", "target": 3460, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "5 + 6 + 8 * 9 * (10 + 12 + 13 + 13) - 7", "solution_steps": ["13 + 13 = 26", "12 + 26 = 38", "10 + 38 = 48", "9 × 48 = 432", "8 × 432 = 3456", "3456 − 7 = 3449", "6 + 3449 = 3455", "5 + 3455 = 3460"], "key": "four-digit-3460-K♠10♣9♥Q♦6♦K♦5♠7♣8♦"} {"id": "train-four-digit-0788", "level": "four-digit", "target": 9064, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 2 + 7 + 6 * (9 + 10 * 10 * (4 + 11))", "solution_steps": ["4 + 11 = 15", "10 × 15 = 150", "10 × 150 = 1500", "9 + 1500 = 1509", "6 × 1509 = 9054", "7 + 9054 = 9061", "2 + 9061 = 9063", "1 + 9063 = 9064"], "key": "four-digit-9064-9♣7♦10♦A♣2♣6♦10♥J♣4♣"} {"id": "train-four-digit-0789", "level": "four-digit", "target": 4655, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 1 + 4 + 5 + 9 * 12 * (7 * 7 - 6)", "solution_steps": ["7 × 7 = 49", "49 − 6 = 43", "12 × 43 = 516", "9 × 516 = 4644", "5 + 4644 = 4649", "4 + 4649 = 4653", "1 + 4653 = 4654", "1 + 4654 = 4655"], "key": "four-digit-4655-4♠5♦Q♥7♦A♦9♠7♥A♠6♥"} {"id": "train-four-digit-0790", "level": "four-digit", "target": 4878, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 1 + (5 + 3 * 6) * (12 + 2 * 10 * 10)", "solution_steps": ["3 × 6 = 18", "5 + 18 = 23", "10 × 10 = 100", "2 × 100 = 200", "12 + 200 = 212", "23 × 212 = 4876", "1 + 4876 = 4877", "1 + 4877 = 4878"], "key": "four-digit-4878-5♠3♠6♠10♥A♦2♣10♦A♥Q♣"} {"id": "train-four-digit-0791", "level": "four-digit", "target": 9711, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 3 + 8 + (3 + 12 * 13) * (7 + 6 * 9)", "solution_steps": ["12 × 13 = 156", "3 + 156 = 159", "6 × 9 = 54", "7 + 54 = 61", "159 × 61 = 9699", "8 + 9699 = 9707", "3 + 9707 = 9710", "1 + 9710 = 9711"], "key": "four-digit-9711-Q♠K♣9♥3♦A♥8♣3♣7♠6♠"} {"id": "train-four-digit-0792", "level": "four-digit", "target": 4791, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "2 + 2 + 3 + 13 * (8 + 9 * (10 + 3 * 10))", "solution_steps": ["3 × 10 = 30", "10 + 30 = 40", "9 × 40 = 360", "8 + 360 = 368", "13 × 368 = 4784", "3 + 4784 = 4787", "2 + 4787 = 4789", "2 + 4789 = 4791"], "key": "four-digit-4791-3♦2♥K♠9♦3♣2♠10♥10♦8♣"} {"id": "train-four-digit-0793", "level": "four-digit", "target": 1440, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 4 + 5 + 10 * 11 * (6 + 6 + 7 / 7)", "solution_steps": ["7 ÷ 7 = 1", "6 + 1 = 7", "6 + 7 = 13", "11 × 13 = 143", "10 × 143 = 1430", "5 + 1430 = 1435", "4 + 1435 = 1439", "1 + 1439 = 1440"], "key": "four-digit-1440-7♠J♥6♠A♥6♥5♦4♦7♥10♥"} {"id": "train-four-digit-0794", "level": "four-digit", "target": 7787, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + (6 + 6) * (7 + 6 * (3 + 8 * 13)) - 3", "solution_steps": ["6 + 6 = 12", "8 × 13 = 104", "3 + 104 = 107", "6 × 107 = 642", "7 + 642 = 649", "12 × 649 = 7788", "7788 − 3 = 7785", "2 + 7785 = 7787"], "key": "four-digit-7787-6♦3♣K♥6♣2♠6♠8♦7♣3♦"} {"id": "train-four-digit-0795", "level": "four-digit", "target": 1931, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 3 + 5 + 7 + 6 * 11 * (7 + 9 + 13)", "solution_steps": ["9 + 13 = 22", "7 + 22 = 29", "11 × 29 = 319", "6 × 319 = 1914", "7 + 1914 = 1921", "5 + 1921 = 1926", "3 + 1926 = 1929", "2 + 1929 = 1931"], "key": "four-digit-1931-J♠7♠5♣7♣3♥6♦2♥9♠K♣"} {"id": "train-four-digit-0796", "level": "four-digit", "target": 2921, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 3 + 4 + 8 + 10 * 11 * 11 * 12 / 5", "solution_steps": ["11 × 12 = 132", "11 × 132 = 1452", "10 × 1452 = 14520", "14520 ÷ 5 = 2904", "8 + 2904 = 2912", "4 + 2912 = 2916", "3 + 2916 = 2919", "2 + 2919 = 2921"], "key": "four-digit-2921-2♠5♣3♥4♠J♣8♠J♦Q♦10♦"} {"id": "train-four-digit-0797", "level": "four-digit", "target": 8641, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "3 + 3 + 4 * 8 * (10 + 13 * (9 + 11)) - 5", "solution_steps": ["9 + 11 = 20", "13 × 20 = 260", "10 + 260 = 270", "8 × 270 = 2160", "4 × 2160 = 8640", "8640 − 5 = 8635", "3 + 8635 = 8638", "3 + 8638 = 8641"], "key": "four-digit-8641-J♦9♠K♦5♦3♣4♦8♣10♠3♦"} {"id": "train-four-digit-0798", "level": "four-digit", "target": 8727, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 + 12 * (4 * (3 + 11) * (4 + 9) - 1)", "solution_steps": ["3 + 11 = 14", "4 + 9 = 13", "14 × 13 = 182", "4 × 182 = 728", "728 − 1 = 727", "12 × 727 = 8724", "2 + 8724 = 8726", "1 + 8726 = 8727"], "key": "four-digit-8727-J♣4♣Q♠3♦4♠A♠A♦9♦2♥"} {"id": "train-four-digit-0799", "level": "four-digit", "target": 7722, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 2 + 11 * (10 * (7 * 12 - 13) - 8) - 3", "solution_steps": ["7 × 12 = 84", "84 − 13 = 71", "10 × 71 = 710", "710 − 8 = 702", "11 × 702 = 7722", "7722 − 3 = 7719", "2 + 7719 = 7721", "1 + 7721 = 7722"], "key": "four-digit-7722-K♣3♠10♥A♦2♣J♥7♣8♥Q♦"} {"id": "train-four-digit-0800", "level": "four-digit", "target": 9912, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 5 * (9 + (6 + 8) * (12 * 12 - 3)) - 5", "solution_steps": ["6 + 8 = 14", "12 × 12 = 144", "144 − 3 = 141", "14 × 141 = 1974", "9 + 1974 = 1983", "5 × 1983 = 9915", "9915 − 5 = 9910", "2 + 9910 = 9912"], "key": "four-digit-9912-Q♣8♠6♥9♠2♠5♥3♠5♣Q♦"} {"id": "train-four-digit-0801", "level": "four-digit", "target": 8895, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 2 + 4 + 6 * 13 * (9 * 13 - 3) - 5", "solution_steps": ["9 × 13 = 117", "117 − 3 = 114", "13 × 114 = 1482", "6 × 1482 = 8892", "8892 − 5 = 8887", "4 + 8887 = 8891", "2 + 8891 = 8893", "2 + 8893 = 8895"], "key": "four-digit-8895-4♠K♣6♥3♦K♥2♠9♣2♥5♥"} {"id": "train-four-digit-0802", "level": "four-digit", "target": 4216, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 2 + 6 * (12 * 12 * (13 - 8) - 11 - 7)", "solution_steps": ["13 − 8 = 5", "12 × 5 = 60", "12 × 60 = 720", "720 − 11 = 709", "709 − 7 = 702", "6 × 702 = 4212", "2 + 4212 = 4214", "2 + 4214 = 4216"], "key": "four-digit-4216-Q♣2♠7♦8♠6♦K♠Q♠J♠2♦"} {"id": "train-four-digit-0803", "level": "four-digit", "target": 1318, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "3 + 4 + 7 + 8 * (9 * (8 + 12) - 10 - 7)", "solution_steps": ["8 + 12 = 20", "9 × 20 = 180", "180 − 10 = 170", "170 − 7 = 163", "8 × 163 = 1304", "7 + 1304 = 1311", "4 + 1311 = 1315", "3 + 1315 = 1318"], "key": "four-digit-1318-7♣Q♣4♦9♣8♣8♦10♣3♦7♠"} {"id": "train-four-digit-0804", "level": "four-digit", "target": 8421, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "5 + 5 + (7 * 8 * 8 * 13 * 13 - 13) / 9", "solution_steps": ["13 × 13 = 169", "8 × 169 = 1352", "8 × 1352 = 10816", "7 × 10816 = 75712", "75712 − 13 = 75699", "75699 ÷ 9 = 8411", "5 + 8411 = 8416", "5 + 8416 = 8421"], "key": "four-digit-8421-K♠7♣5♠9♠8♥K♦5♦K♥8♠"} {"id": "train-four-digit-0805", "level": "four-digit", "target": 5269, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 2 + 8 + 11 * (3 + 5 * 5 * (9 + 10))", "solution_steps": ["9 + 10 = 19", "5 × 19 = 95", "5 × 95 = 475", "3 + 475 = 478", "11 × 478 = 5258", "8 + 5258 = 5266", "2 + 5266 = 5268", "1 + 5268 = 5269"], "key": "four-digit-5269-10♥5♣8♠A♠9♦2♣3♠5♦J♥"} {"id": "train-four-digit-0806", "level": "four-digit", "target": 3364, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "2 + 3 + 7 + 8 * (5 + 9 * (7 * 8 - 10))", "solution_steps": ["7 × 8 = 56", "56 − 10 = 46", "9 × 46 = 414", "5 + 414 = 419", "8 × 419 = 3352", "7 + 3352 = 3359", "3 + 3359 = 3362", "2 + 3362 = 3364"], "key": "four-digit-3364-8♣8♥3♥9♣5♣7♠2♦10♥7♦"} {"id": "train-four-digit-0807", "level": "four-digit", "target": 4308, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "3 + 4 + 5 + 6 + 10 * 11 * 13 * (11 - 8)", "solution_steps": ["11 − 8 = 3", "13 × 3 = 39", "11 × 39 = 429", "10 × 429 = 4290", "6 + 4290 = 4296", "5 + 4296 = 4301", "4 + 4301 = 4305", "3 + 4305 = 4308"], "key": "four-digit-4308-4♣8♦6♦J♠K♠5♣10♦3♠J♥"} {"id": "train-four-digit-0808", "level": "four-digit", "target": 7762, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "S", "label": "A♠"}], "solution": "1 + 1 + 1 * 8 * (11 + 7 * (5 + 11 * 12))", "solution_steps": ["11 × 12 = 132", "5 + 132 = 137", "7 × 137 = 959", "11 + 959 = 970", "8 × 970 = 7760", "1 × 7760 = 7760", "1 + 7760 = 7761", "1 + 7761 = 7762"], "key": "four-digit-7762-J♦7♦Q♠A♣J♠5♣A♦8♣A♠"} {"id": "train-four-digit-0809", "level": "four-digit", "target": 6486, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "2 + 3 + 5 + 12 * 12 * (7 * 8 - 11) - 4", "solution_steps": ["7 × 8 = 56", "56 − 11 = 45", "12 × 45 = 540", "12 × 540 = 6480", "5 + 6480 = 6485", "6485 − 4 = 6481", "3 + 6481 = 6484", "2 + 6484 = 6486"], "key": "four-digit-6486-3♣7♦J♠5♥Q♠8♦4♦2♠Q♥"} {"id": "train-four-digit-0810", "level": "four-digit", "target": 5717, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 6 + 8 * (7 * 8 * 13 - 13) - 7 - 5", "solution_steps": ["8 × 13 = 104", "7 × 104 = 728", "728 − 13 = 715", "8 × 715 = 5720", "5720 − 7 = 5713", "6 + 5713 = 5719", "5719 − 5 = 5714", "3 + 5714 = 5717"], "key": "four-digit-5717-5♣7♥6♠8♠3♣K♦7♠K♠8♦"} {"id": "train-four-digit-0811", "level": "four-digit", "target": 6473, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 2 + 5 * (8 * (3 + 10 * (6 + 10)) - 10)", "solution_steps": ["6 + 10 = 16", "10 × 16 = 160", "3 + 160 = 163", "8 × 163 = 1304", "1304 − 10 = 1294", "5 × 1294 = 6470", "2 + 6470 = 6472", "1 + 6472 = 6473"], "key": "four-digit-6473-5♣10♥A♥6♥8♦2♣10♣10♠3♠"} {"id": "train-four-digit-0812", "level": "four-digit", "target": 5966, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 13 * (4 + 7 * (12 * (13 - 7) - 7)) - 3", "solution_steps": ["13 − 7 = 6", "12 × 6 = 72", "72 − 7 = 65", "7 × 65 = 455", "4 + 455 = 459", "13 × 459 = 5967", "5967 − 3 = 5964", "2 + 5964 = 5966"], "key": "four-digit-5966-7♣Q♦7♠K♣K♦3♥4♣7♥2♥"} {"id": "train-four-digit-0813", "level": "four-digit", "target": 7298, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 1 + 2 * 6 * (9 * (7 * 11 - 8) - 13)", "solution_steps": ["7 × 11 = 77", "77 − 8 = 69", "9 × 69 = 621", "621 − 13 = 608", "6 × 608 = 3648", "2 × 3648 = 7296", "1 + 7296 = 7297", "1 + 7297 = 7298"], "key": "four-digit-7298-A♣A♠K♦9♣6♥2♣J♦7♦8♥"} {"id": "train-four-digit-0814", "level": "four-digit", "target": 7526, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 + (2 + 10) * (5 * 7 * (5 + 13) - 3)", "solution_steps": ["2 + 10 = 12", "5 + 13 = 18", "7 × 18 = 126", "5 × 126 = 630", "630 − 3 = 627", "12 × 627 = 7524", "1 + 7524 = 7525", "1 + 7525 = 7526"], "key": "four-digit-7526-10♥3♦K♠5♥A♦7♦2♥5♠A♥"} {"id": "train-four-digit-0815", "level": "four-digit", "target": 8130, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 1 + 4 + 12 * (12 + 5 * 7 * (8 + 11))", "solution_steps": ["8 + 11 = 19", "7 × 19 = 133", "5 × 133 = 665", "12 + 665 = 677", "12 × 677 = 8124", "4 + 8124 = 8128", "1 + 8128 = 8129", "1 + 8129 = 8130"], "key": "four-digit-8130-7♣4♦J♦A♦Q♥Q♦5♦8♣A♥"} {"id": "train-four-digit-0816", "level": "four-digit", "target": 6253, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "2 + 3 + 4 * 11 * (8 * (5 + 6 + 8) - 10)", "solution_steps": ["6 + 8 = 14", "5 + 14 = 19", "8 × 19 = 152", "152 − 10 = 142", "11 × 142 = 1562", "4 × 1562 = 6248", "3 + 6248 = 6251", "2 + 6251 = 6253"], "key": "four-digit-6253-3♣10♠8♥2♣6♦4♠5♥J♠8♠"} {"id": "train-four-digit-0817", "level": "four-digit", "target": 9657, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "1 + 6 + 12 * (10 + 13) * (9 + 13 + 13) - 10", "solution_steps": ["10 + 13 = 23", "13 + 13 = 26", "9 + 26 = 35", "23 × 35 = 805", "12 × 805 = 9660", "9660 − 10 = 9650", "6 + 9650 = 9656", "1 + 9656 = 9657"], "key": "four-digit-9657-A♣10♥10♠Q♠K♠K♥9♦K♦6♦"} {"id": "train-four-digit-0818", "level": "four-digit", "target": 5608, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "3 + 4 + 7 * (11 * (8 + 6 * 11) - 13) - 6", "solution_steps": ["6 × 11 = 66", "8 + 66 = 74", "11 × 74 = 814", "814 − 13 = 801", "7 × 801 = 5607", "5607 − 6 = 5601", "4 + 5601 = 5605", "3 + 5605 = 5608"], "key": "four-digit-5608-J♦3♠K♦6♦7♥4♦J♠8♣6♣"} {"id": "train-four-digit-0819", "level": "four-digit", "target": 9591, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 1 * 7 * (2 + 4 * 9 * (6 * 7 - 4))", "solution_steps": ["6 × 7 = 42", "42 − 4 = 38", "9 × 38 = 342", "4 × 342 = 1368", "2 + 1368 = 1370", "7 × 1370 = 9590", "1 × 9590 = 9590", "1 + 9590 = 9591"], "key": "four-digit-9591-4♥7♠A♠2♣9♦A♥4♣7♦6♥"} {"id": "train-four-digit-0820", "level": "four-digit", "target": 5240, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "2 + 3 + 13 * (7 + 9 * (6 * 9 - 10)) - 4", "solution_steps": ["6 × 9 = 54", "54 − 10 = 44", "9 × 44 = 396", "7 + 396 = 403", "13 × 403 = 5239", "5239 − 4 = 5235", "3 + 5235 = 5238", "2 + 5238 = 5240"], "key": "four-digit-5240-9♣K♥2♦6♠3♠10♦9♦7♥4♣"} {"id": "train-four-digit-0821", "level": "four-digit", "target": 1042, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 1 + 2 + 3 + 7 + 8 * 10 * 13 - 12", "solution_steps": ["10 × 13 = 130", "8 × 130 = 1040", "1040 − 12 = 1028", "7 + 1028 = 1035", "3 + 1035 = 1038", "2 + 1038 = 1040", "1 + 1040 = 1041", "1 + 1041 = 1042"], "key": "four-digit-1042-8♦2♥7♠A♦A♠Q♣3♦K♦10♥"} {"id": "train-four-digit-0822", "level": "four-digit", "target": 7405, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 + (5 + 9 - 3) * (1 + 7 * 8 * 12)", "solution_steps": ["5 + 9 = 14", "14 − 3 = 11", "8 × 12 = 96", "7 × 96 = 672", "1 + 672 = 673", "11 × 673 = 7403", "1 + 7403 = 7404", "1 + 7404 = 7405"], "key": "four-digit-7405-9♠7♦5♦8♥3♣A♣A♥Q♥A♦"} {"id": "train-four-digit-0823", "level": "four-digit", "target": 5033, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "4 + 5 + 5 + (10 + 11) * (13 * (7 + 12) - 8)", "solution_steps": ["10 + 11 = 21", "7 + 12 = 19", "13 × 19 = 247", "247 − 8 = 239", "21 × 239 = 5019", "5 + 5019 = 5024", "5 + 5024 = 5029", "4 + 5029 = 5033"], "key": "four-digit-5033-10♠4♣8♦Q♦J♦K♠7♥5♠5♥"} {"id": "train-four-digit-0824", "level": "four-digit", "target": 1112, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "2 + 4 + 5 + 11 + 9 * (11 * 12 - 10) - 8", "solution_steps": ["11 × 12 = 132", "132 − 10 = 122", "9 × 122 = 1098", "11 + 1098 = 1109", "1109 − 8 = 1101", "5 + 1101 = 1106", "4 + 1106 = 1110", "2 + 1110 = 1112"], "key": "four-digit-1112-4♥2♠Q♥10♦J♣9♣8♦5♦J♦"} {"id": "train-four-digit-0825", "level": "four-digit", "target": 3878, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "S", "label": "5♠"}], "solution": "1 + 2 + 3 + 2 * 11 * (5 + 6) * (7 + 9)", "solution_steps": ["5 + 6 = 11", "7 + 9 = 16", "11 × 16 = 176", "11 × 176 = 1936", "2 × 1936 = 3872", "3 + 3872 = 3875", "2 + 3875 = 3877", "1 + 3877 = 3878"], "key": "four-digit-3878-6♦2♥7♦3♥2♠9♦J♦A♠5♠"} {"id": "train-four-digit-0826", "level": "four-digit", "target": 2464, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}], "solution": "4 + 6 + 8 * 12 * (13 + 13) - 7 * (13 - 7)", "solution_steps": ["13 + 13 = 26", "12 × 26 = 312", "8 × 312 = 2496", "13 − 7 = 6", "7 × 6 = 42", "2496 − 42 = 2454", "6 + 2454 = 2460", "4 + 2460 = 2464"], "key": "four-digit-2464-8♥K♣7♣6♠7♦4♦K♦K♠Q♠"} {"id": "train-four-digit-0827", "level": "four-digit", "target": 3076, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "1 + 1 + 2 + 2 + 10 * (8 + 13 * (11 + 12))", "solution_steps": ["11 + 12 = 23", "13 × 23 = 299", "8 + 299 = 307", "10 × 307 = 3070", "2 + 3070 = 3072", "2 + 3072 = 3074", "1 + 3074 = 3075", "1 + 3075 = 3076"], "key": "four-digit-3076-J♦A♦K♣A♠2♣10♦8♥Q♣2♦"} {"id": "train-four-digit-0828", "level": "four-digit", "target": 7509, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 5 + 7 * 8 * (13 * (2 + 9) - 9) - 1", "solution_steps": ["2 + 9 = 11", "13 × 11 = 143", "143 − 9 = 134", "8 × 134 = 1072", "7 × 1072 = 7504", "5 + 7504 = 7509", "7509 − 1 = 7508", "1 + 7508 = 7509"], "key": "four-digit-7509-7♣5♣2♠9♦9♥K♣A♣A♠8♦"} {"id": "train-four-digit-0829", "level": "four-digit", "target": 6226, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "3 + 4 + (4 + 5) * (7 + 6 * 6 * (8 + 11))", "solution_steps": ["4 + 5 = 9", "8 + 11 = 19", "6 × 19 = 114", "6 × 114 = 684", "7 + 684 = 691", "9 × 691 = 6219", "4 + 6219 = 6223", "3 + 6223 = 6226"], "key": "four-digit-6226-J♣8♠6♦5♦6♣7♥4♦4♣3♠"} {"id": "train-four-digit-0830", "level": "four-digit", "target": 6775, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "2 + 2 + 4 * 8 * (10 * (10 + 12) - 8) - 13", "solution_steps": ["10 + 12 = 22", "10 × 22 = 220", "220 − 8 = 212", "8 × 212 = 1696", "4 × 1696 = 6784", "6784 − 13 = 6771", "2 + 6771 = 6773", "2 + 6773 = 6775"], "key": "four-digit-6775-4♠2♦K♣8♣Q♦10♣10♥2♣8♦"} {"id": "train-four-digit-0831", "level": "four-digit", "target": 6442, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 5 + 10 + 9 * (12 * (11 + 7 * 7) - 6)", "solution_steps": ["7 × 7 = 49", "11 + 49 = 60", "12 × 60 = 720", "720 − 6 = 714", "9 × 714 = 6426", "10 + 6426 = 6436", "5 + 6436 = 6441", "1 + 6441 = 6442"], "key": "four-digit-6442-5♣6♥7♥7♦Q♦9♦J♦10♦A♣"} {"id": "train-four-digit-0832", "level": "four-digit", "target": 5205, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 2 + 3 * (10 * (4 + 10 * (4 + 13)) - 6)", "solution_steps": ["4 + 13 = 17", "10 × 17 = 170", "4 + 170 = 174", "10 × 174 = 1740", "1740 − 6 = 1734", "3 × 1734 = 5202", "2 + 5202 = 5204", "1 + 5204 = 5205"], "key": "four-digit-5205-10♠6♠4♦2♦4♥K♦3♠A♥10♥"} {"id": "train-four-digit-0833", "level": "four-digit", "target": 3912, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "2 + 2 + 3 + 5 * 11 * (9 + 7 * 10 - 8)", "solution_steps": ["7 × 10 = 70", "9 + 70 = 79", "79 − 8 = 71", "11 × 71 = 781", "5 × 781 = 3905", "3 + 3905 = 3908", "2 + 3908 = 3910", "2 + 3910 = 3912"], "key": "four-digit-3912-J♦10♣7♦5♣2♣8♣2♦3♦9♠"} {"id": "train-four-digit-0834", "level": "four-digit", "target": 2078, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "3 + 3 + 6 * ((7 + 9) * (10 + 12) - 6) - 4", "solution_steps": ["7 + 9 = 16", "10 + 12 = 22", "16 × 22 = 352", "352 − 6 = 346", "6 × 346 = 2076", "2076 − 4 = 2072", "3 + 2072 = 2075", "3 + 2075 = 2078"], "key": "four-digit-2078-6♠3♣Q♥9♥4♣10♣7♥3♥6♥"} {"id": "train-four-digit-0835", "level": "four-digit", "target": 7791, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 5 + 10 * 12 * 13 * (13 - 8) - 9 - 6", "solution_steps": ["13 − 8 = 5", "13 × 5 = 65", "12 × 65 = 780", "10 × 780 = 7800", "7800 − 9 = 7791", "7791 − 6 = 7785", "5 + 7785 = 7790", "1 + 7790 = 7791"], "key": "four-digit-7791-10♥Q♣5♣K♦9♠K♠8♠6♣A♦"} {"id": "train-four-digit-0836", "level": "four-digit", "target": 4507, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 6 + 6 + 7 * (13 - 7) * (11 + 8 * 12)", "solution_steps": ["13 − 7 = 6", "8 × 12 = 96", "11 + 96 = 107", "6 × 107 = 642", "7 × 642 = 4494", "6 + 4494 = 4500", "6 + 4500 = 4506", "1 + 4506 = 4507"], "key": "four-digit-4507-8♣J♥6♠Q♥7♠A♦7♥K♦6♣"} {"id": "train-four-digit-0837", "level": "four-digit", "target": 5374, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 2 + 3 * (10 + 10 * (9 * (9 + 12) - 11))", "solution_steps": ["9 + 12 = 21", "9 × 21 = 189", "189 − 11 = 178", "10 × 178 = 1780", "10 + 1780 = 1790", "3 × 1790 = 5370", "2 + 5370 = 5372", "2 + 5372 = 5374"], "key": "four-digit-5374-3♠9♣J♠9♥10♣2♥Q♣10♥2♦"} {"id": "train-four-digit-0838", "level": "four-digit", "target": 1240, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}], "solution": "1 + 2 + 3 + 11 + 12 + 7 * (4 + 13 * 13)", "solution_steps": ["13 × 13 = 169", "4 + 169 = 173", "7 × 173 = 1211", "12 + 1211 = 1223", "11 + 1223 = 1234", "3 + 1234 = 1237", "2 + 1237 = 1239", "1 + 1239 = 1240"], "key": "four-digit-1240-K♣2♦7♥J♣Q♦K♦A♥3♥4♠"} {"id": "train-four-digit-0839", "level": "four-digit", "target": 1742, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 1 + 5 + 6 + 13 * (12 + 10 * 13 - 9)", "solution_steps": ["10 × 13 = 130", "12 + 130 = 142", "142 − 9 = 133", "13 × 133 = 1729", "6 + 1729 = 1735", "5 + 1735 = 1740", "1 + 1740 = 1741", "1 + 1741 = 1742"], "key": "four-digit-1742-K♦5♠10♦A♥6♣K♠Q♦A♦9♣"} {"id": "train-four-digit-0840", "level": "four-digit", "target": 9488, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "4 + 8 + 12 + 13 * (8 + 6 * (11 * 12 - 12))", "solution_steps": ["11 × 12 = 132", "132 − 12 = 120", "6 × 120 = 720", "8 + 720 = 728", "13 × 728 = 9464", "12 + 9464 = 9476", "8 + 9476 = 9484", "4 + 9484 = 9488"], "key": "four-digit-9488-Q♥8♥4♠Q♠8♣6♥K♣J♥Q♣"} {"id": "train-four-digit-0841", "level": "four-digit", "target": 4652, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 7 + 9 * 11 * (6 * 9 - 7) - 5 - 4", "solution_steps": ["6 × 9 = 54", "54 − 7 = 47", "11 × 47 = 517", "9 × 517 = 4653", "7 + 4653 = 4660", "4660 − 5 = 4655", "4655 − 4 = 4651", "1 + 4651 = 4652"], "key": "four-digit-4652-9♦A♣7♦9♥5♣4♦J♣6♣7♥"} {"id": "train-four-digit-0842", "level": "four-digit", "target": 4187, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 5 + 10 * (6 * 8 * 9 - 12) - 13 - 6", "solution_steps": ["8 × 9 = 72", "6 × 72 = 432", "432 − 12 = 420", "10 × 420 = 4200", "4200 − 13 = 4187", "4187 − 6 = 4181", "5 + 4181 = 4186", "1 + 4186 = 4187"], "key": "four-digit-4187-A♣5♠8♦6♣6♦K♠9♥10♦Q♣"} {"id": "train-four-digit-0843", "level": "four-digit", "target": 6966, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 1 + 4 + 5 * 8 * (7 * 12 + 9 * 10)", "solution_steps": ["7 × 12 = 84", "9 × 10 = 90", "84 + 90 = 174", "8 × 174 = 1392", "5 × 1392 = 6960", "4 + 6960 = 6964", "1 + 6964 = 6965", "1 + 6965 = 6966"], "key": "four-digit-6966-7♦4♣A♥5♣Q♣A♠10♥9♥8♣"} {"id": "train-four-digit-0844", "level": "four-digit", "target": 5564, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "1 + 6 + 6 + 7 * (13 + 8 * 9 * 11 - 12)", "solution_steps": ["9 × 11 = 99", "8 × 99 = 792", "13 + 792 = 805", "805 − 12 = 793", "7 × 793 = 5551", "6 + 5551 = 5557", "6 + 5557 = 5563", "1 + 5563 = 5564"], "key": "four-digit-5564-K♦A♦6♥J♠8♣9♦7♠Q♣6♣"} {"id": "train-four-digit-0845", "level": "four-digit", "target": 5636, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "2 + 3 + 4 + 8 * 8 * (10 * 10 - 12) - 5", "solution_steps": ["10 × 10 = 100", "100 − 12 = 88", "8 × 88 = 704", "8 × 704 = 5632", "5632 − 5 = 5627", "4 + 5627 = 5631", "3 + 5631 = 5634", "2 + 5634 = 5636"], "key": "four-digit-5636-4♦8♦3♣5♥2♣8♥10♣Q♦10♥"} {"id": "train-four-digit-0846", "level": "four-digit", "target": 8041, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 1 + 7 * 9 * (11 * 12 - 4) - 5 * 5", "solution_steps": ["11 × 12 = 132", "132 − 4 = 128", "9 × 128 = 1152", "7 × 1152 = 8064", "5 × 5 = 25", "8064 − 25 = 8039", "1 + 8039 = 8040", "1 + 8040 = 8041"], "key": "four-digit-8041-A♥A♣Q♥5♣9♦7♠4♦5♥J♥"} {"id": "train-four-digit-0847", "level": "four-digit", "target": 8077, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "2 + 2 + 3 * 9 * (2 + 11 * (3 + 12 + 12))", "solution_steps": ["12 + 12 = 24", "3 + 24 = 27", "11 × 27 = 297", "2 + 297 = 299", "9 × 299 = 2691", "3 × 2691 = 8073", "2 + 8073 = 8075", "2 + 8075 = 8077"], "key": "four-digit-8077-Q♣J♦2♠2♦2♥9♥Q♥3♠3♥"} {"id": "train-four-digit-0848", "level": "four-digit", "target": 3196, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 2 + 3 * (3 + 12) * (8 + 7 * 9) - 2", "solution_steps": ["3 + 12 = 15", "7 × 9 = 63", "8 + 63 = 71", "15 × 71 = 1065", "3 × 1065 = 3195", "3195 − 2 = 3193", "2 + 3193 = 3195", "1 + 3195 = 3196"], "key": "four-digit-3196-8♦2♣3♣7♠2♠3♦A♥Q♣9♦"} {"id": "train-four-digit-0849", "level": "four-digit", "target": 5527, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 3 * (6 + 11 * (11 + 12 * 13)) - 4", "solution_steps": ["12 × 13 = 156", "11 + 156 = 167", "11 × 167 = 1837", "6 + 1837 = 1843", "3 × 1843 = 5529", "5529 − 4 = 5525", "1 + 5525 = 5526", "1 + 5526 = 5527"], "key": "four-digit-5527-4♠J♣K♠A♥6♠3♦Q♠J♥A♣"} {"id": "train-four-digit-0850", "level": "four-digit", "target": 8119, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 4 + 7 + 12 * 13 * (6 * 10 - 8) - 5", "solution_steps": ["6 × 10 = 60", "60 − 8 = 52", "13 × 52 = 676", "12 × 676 = 8112", "7 + 8112 = 8119", "8119 − 5 = 8114", "4 + 8114 = 8118", "1 + 8118 = 8119"], "key": "four-digit-8119-8♥5♠7♥A♦10♦K♥6♣4♣Q♣"} {"id": "train-four-digit-0851", "level": "four-digit", "target": 6836, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "2 + 3 + 3 * 11 * (4 * (6 * 10 - 7) - 5)", "solution_steps": ["6 × 10 = 60", "60 − 7 = 53", "4 × 53 = 212", "212 − 5 = 207", "11 × 207 = 2277", "3 × 2277 = 6831", "3 + 6831 = 6834", "2 + 6834 = 6836"], "key": "four-digit-6836-5♠10♠3♦7♥J♦6♠2♠4♥3♠"} {"id": "train-four-digit-0852", "level": "four-digit", "target": 1633, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 2 + 4 + 6 + 12 * (11 + 10 * 13 - 6)", "solution_steps": ["10 × 13 = 130", "11 + 130 = 141", "141 − 6 = 135", "12 × 135 = 1620", "6 + 1620 = 1626", "4 + 1626 = 1630", "2 + 1630 = 1632", "1 + 1632 = 1633"], "key": "four-digit-1633-2♠Q♦K♠6♠A♣J♠4♠6♣10♥"} {"id": "train-four-digit-0853", "level": "four-digit", "target": 1275, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "2 + 5 + 5 + 9 + 12 + 8 * 12 * 13 - 6", "solution_steps": ["12 × 13 = 156", "8 × 156 = 1248", "12 + 1248 = 1260", "9 + 1260 = 1269", "1269 − 6 = 1263", "5 + 1263 = 1268", "5 + 1268 = 1273", "2 + 1273 = 1275"], "key": "four-digit-1275-Q♣5♣5♦K♦8♥2♦9♦6♠Q♦"} {"id": "train-four-digit-0854", "level": "four-digit", "target": 1016, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 1 + 3 + 3 * (3 * 4 + 5 * 5 * 13)", "solution_steps": ["3 × 4 = 12", "5 × 13 = 65", "5 × 65 = 325", "12 + 325 = 337", "3 × 337 = 1011", "3 + 1011 = 1014", "1 + 1014 = 1015", "1 + 1015 = 1016"], "key": "four-digit-1016-A♣4♣5♠3♠5♦A♦3♥3♣K♥"} {"id": "train-four-digit-0855", "level": "four-digit", "target": 4555, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 2 + 5 * 12 * (5 + 11 + 6 * 10) - 8", "solution_steps": ["6 × 10 = 60", "11 + 60 = 71", "5 + 71 = 76", "12 × 76 = 912", "5 × 912 = 4560", "4560 − 8 = 4552", "2 + 4552 = 4554", "1 + 4554 = 4555"], "key": "four-digit-4555-A♣J♠5♥10♥8♣2♠5♣6♠Q♦"} {"id": "train-four-digit-0856", "level": "four-digit", "target": 8774, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 4 + 9 + 10 * 12 * (9 * 11 - 13 - 13)", "solution_steps": ["9 × 11 = 99", "99 − 13 = 86", "86 − 13 = 73", "12 × 73 = 876", "10 × 876 = 8760", "9 + 8760 = 8769", "4 + 8769 = 8773", "1 + 8773 = 8774"], "key": "four-digit-8774-4♦9♠K♥9♣J♥10♠A♣K♣Q♦"} {"id": "train-four-digit-0857", "level": "four-digit", "target": 2225, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 6 * (4 * 8 * 12 - 12) - 7 - 4", "solution_steps": ["8 × 12 = 96", "4 × 96 = 384", "384 − 12 = 372", "6 × 372 = 2232", "2232 − 7 = 2225", "2225 − 4 = 2221", "3 + 2221 = 2224", "1 + 2224 = 2225"], "key": "four-digit-2225-6♠7♥4♦4♥8♥Q♦A♣Q♥3♠"} {"id": "train-four-digit-0858", "level": "four-digit", "target": 2919, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 3 + 9 + 4 * 7 * 8 * (6 + 7) - 7", "solution_steps": ["6 + 7 = 13", "8 × 13 = 104", "7 × 104 = 728", "4 × 728 = 2912", "9 + 2912 = 2921", "2921 − 7 = 2914", "3 + 2914 = 2917", "2 + 2917 = 2919"], "key": "four-digit-2919-2♣8♦9♥7♣7♦7♥4♠6♥3♣"} {"id": "train-four-digit-0859", "level": "four-digit", "target": 8317, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "3 + 4 + 5 * 6 * (4 + 9 + 12 * (11 + 11))", "solution_steps": ["11 + 11 = 22", "12 × 22 = 264", "9 + 264 = 273", "4 + 273 = 277", "6 × 277 = 1662", "5 × 1662 = 8310", "4 + 8310 = 8314", "3 + 8314 = 8317"], "key": "four-digit-8317-5♠3♣J♥J♦4♥6♠Q♦4♦9♣"} {"id": "train-four-digit-0860", "level": "four-digit", "target": 2317, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "4 + 4 + 5 + 8 * (12 + 12 * (7 + 7 + 9))", "solution_steps": ["7 + 9 = 16", "7 + 16 = 23", "12 × 23 = 276", "12 + 276 = 288", "8 × 288 = 2304", "5 + 2304 = 2309", "4 + 2309 = 2313", "4 + 2313 = 2317"], "key": "four-digit-2317-Q♠Q♥4♦4♣7♣7♥5♣8♣9♦"} {"id": "train-four-digit-0861", "level": "four-digit", "target": 3001, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "C", "label": "5♣"}], "solution": "1 + 3 + 3 + 6 * (4 + 3 * 11 * (5 + 10))", "solution_steps": ["5 + 10 = 15", "11 × 15 = 165", "3 × 165 = 495", "4 + 495 = 499", "6 × 499 = 2994", "3 + 2994 = 2997", "3 + 2997 = 3000", "1 + 3000 = 3001"], "key": "four-digit-3001-3♦4♠6♣A♥10♠3♣3♠J♠5♣"} {"id": "train-four-digit-0862", "level": "four-digit", "target": 1577, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 5 + 5 + 9 * (6 + 8 * (11 + 11) - 8)", "solution_steps": ["11 + 11 = 22", "8 × 22 = 176", "176 − 8 = 168", "6 + 168 = 174", "9 × 174 = 1566", "5 + 1566 = 1571", "5 + 1571 = 1576", "1 + 1576 = 1577"], "key": "four-digit-1577-8♣A♠5♣6♠J♦8♦5♥9♠J♣"} {"id": "train-four-digit-0863", "level": "four-digit", "target": 1141, "cards": [{"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 4 + 4 + 10 * (10 * 12 - 6) - 11", "solution_steps": ["10 × 12 = 120", "120 − 6 = 114", "10 × 114 = 1140", "1140 − 11 = 1129", "4 + 1129 = 1133", "4 + 1133 = 1137", "3 + 1137 = 1140", "1 + 1140 = 1141"], "key": "four-digit-1141-10♣4♠4♥J♥6♣10♥A♣Q♥3♠"} {"id": "train-four-digit-0864", "level": "four-digit", "target": 5120, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 2 + 6 * 9 * (11 + 7 * 12) - 11 - 3", "solution_steps": ["7 × 12 = 84", "11 + 84 = 95", "9 × 95 = 855", "6 × 855 = 5130", "5130 − 11 = 5119", "5119 − 3 = 5116", "2 + 5116 = 5118", "2 + 5118 = 5120"], "key": "four-digit-5120-J♠2♣Q♣3♣7♥9♣6♦J♣2♦"} {"id": "train-four-digit-0865", "level": "four-digit", "target": 3108, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "2 + 4 + 7 + 5 * (8 + 13 * (12 + 5 * 7))", "solution_steps": ["5 × 7 = 35", "12 + 35 = 47", "13 × 47 = 611", "8 + 611 = 619", "5 × 619 = 3095", "7 + 3095 = 3102", "4 + 3102 = 3106", "2 + 3106 = 3108"], "key": "four-digit-3108-7♥5♥5♣2♦K♦8♥7♦4♣Q♥"} {"id": "train-four-digit-0866", "level": "four-digit", "target": 3803, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "1 + 2 + 4 * (5 + 9 * (6 * (6 + 12) - 3))", "solution_steps": ["6 + 12 = 18", "6 × 18 = 108", "108 − 3 = 105", "9 × 105 = 945", "5 + 945 = 950", "4 × 950 = 3800", "2 + 3800 = 3802", "1 + 3802 = 3803"], "key": "four-digit-3803-2♣3♦9♦A♥4♣6♥5♦6♣Q♦"} {"id": "train-four-digit-0867", "level": "four-digit", "target": 3888, "cards": [{"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "4 + 5 + 5 + 13 * (8 + 13 * (11 + 12) - 9)", "solution_steps": ["11 + 12 = 23", "13 × 23 = 299", "299 − 9 = 290", "8 + 290 = 298", "13 × 298 = 3874", "5 + 3874 = 3879", "5 + 3879 = 3884", "4 + 3884 = 3888"], "key": "four-digit-3888-K♥5♠J♣9♣Q♥5♦8♠K♦4♦"} {"id": "train-four-digit-0868", "level": "four-digit", "target": 2316, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 6 + 6 * (8 + (8 + 10) * (10 + 11)) - 7", "solution_steps": ["8 + 10 = 18", "10 + 11 = 21", "18 × 21 = 378", "8 + 378 = 386", "6 × 386 = 2316", "2316 − 7 = 2309", "6 + 2309 = 2315", "1 + 2315 = 2316"], "key": "four-digit-2316-J♥7♦8♣A♦6♣10♥6♠8♦10♦"} {"id": "train-four-digit-0869", "level": "four-digit", "target": 9585, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 2 * ((6 + 5 * 7) * (7 + 10 * 11) - 5)", "solution_steps": ["5 × 7 = 35", "6 + 35 = 41", "10 × 11 = 110", "7 + 110 = 117", "41 × 117 = 4797", "4797 − 5 = 4792", "2 × 4792 = 9584", "1 + 9584 = 9585"], "key": "four-digit-9585-5♥A♥7♥6♠10♠7♣2♥5♠J♣"} {"id": "train-four-digit-0870", "level": "four-digit", "target": 5092, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + (6 + 8 * 12 * (4 + 6 + 8 * 12)) / 2", "solution_steps": ["8 × 12 = 96", "6 + 96 = 102", "4 + 102 = 106", "12 × 106 = 1272", "8 × 1272 = 10176", "6 + 10176 = 10182", "10182 ÷ 2 = 5091", "1 + 5091 = 5092"], "key": "four-digit-5092-6♦Q♣Q♦4♠6♠A♦2♥8♦8♠"} {"id": "train-four-digit-0871", "level": "four-digit", "target": 1436, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 2 + 3 + 10 * 11 * (9 + 12 / (13 - 10))", "solution_steps": ["13 − 10 = 3", "12 ÷ 3 = 4", "9 + 4 = 13", "11 × 13 = 143", "10 × 143 = 1430", "3 + 1430 = 1433", "2 + 1433 = 1435", "1 + 1435 = 1436"], "key": "four-digit-1436-K♠10♠Q♣9♠2♠A♦3♠10♦J♥"} {"id": "train-four-digit-0872", "level": "four-digit", "target": 8802, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 4 + 9 * (12 * (12 + 7 * 10) - 6) - 5", "solution_steps": ["7 × 10 = 70", "12 + 70 = 82", "12 × 82 = 984", "984 − 6 = 978", "9 × 978 = 8802", "8802 − 5 = 8797", "4 + 8797 = 8801", "1 + 8801 = 8802"], "key": "four-digit-8802-A♣9♦7♠6♣10♣4♥5♦Q♣Q♥"} {"id": "train-four-digit-0873", "level": "four-digit", "target": 7436, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "4 + 5 + 7 * (10 + 7 * (9 + 11 * 13) - 13)", "solution_steps": ["11 × 13 = 143", "9 + 143 = 152", "7 × 152 = 1064", "1064 − 13 = 1051", "10 + 1051 = 1061", "7 × 1061 = 7427", "5 + 7427 = 7432", "4 + 7432 = 7436"], "key": "four-digit-7436-7♠10♦J♠5♦K♠4♦K♦7♣9♠"} {"id": "train-four-digit-0874", "level": "four-digit", "target": 2696, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "2 + 3 + 3 + 5 * 6 * 9 * 10 - 8 - 4", "solution_steps": ["9 × 10 = 90", "6 × 90 = 540", "5 × 540 = 2700", "2700 − 8 = 2692", "2692 − 4 = 2688", "3 + 2688 = 2691", "3 + 2691 = 2694", "2 + 2694 = 2696"], "key": "four-digit-2696-3♦8♦2♥10♥3♥4♠5♦9♠6♦"} {"id": "train-four-digit-0875", "level": "four-digit", "target": 8373, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 2 + 3 * 9 * 10 * (4 * (3 + 5) - 1)", "solution_steps": ["3 + 5 = 8", "4 × 8 = 32", "32 − 1 = 31", "10 × 31 = 310", "9 × 310 = 2790", "3 × 2790 = 8370", "2 + 8370 = 8372", "1 + 8372 = 8373"], "key": "four-digit-8373-5♠3♣3♦2♦A♠9♥A♣10♦4♣"} {"id": "train-four-digit-0876", "level": "four-digit", "target": 4470, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 2 + 3 + 8 * (7 + 11 + 5 * 9 * 12)", "solution_steps": ["9 × 12 = 108", "5 × 108 = 540", "11 + 540 = 551", "7 + 551 = 558", "8 × 558 = 4464", "3 + 4464 = 4467", "2 + 4467 = 4469", "1 + 4469 = 4470"], "key": "four-digit-4470-2♥3♠5♠7♥Q♦A♥8♠9♦J♣"} {"id": "train-four-digit-0877", "level": "four-digit", "target": 7010, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "2 + 3 + 5 + 10 * (7 + 11 * (6 * 12 - 9))", "solution_steps": ["6 × 12 = 72", "72 − 9 = 63", "11 × 63 = 693", "7 + 693 = 700", "10 × 700 = 7000", "5 + 7000 = 7005", "3 + 7005 = 7008", "2 + 7008 = 7010"], "key": "four-digit-7010-J♥7♠2♣Q♥3♠5♦6♠9♥10♠"} {"id": "train-four-digit-0878", "level": "four-digit", "target": 3505, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "4 + 6 + 9 * (9 + (7 + 12) * (9 + 11)) - 6", "solution_steps": ["7 + 12 = 19", "9 + 11 = 20", "19 × 20 = 380", "9 + 380 = 389", "9 × 389 = 3501", "3501 − 6 = 3495", "6 + 3495 = 3501", "4 + 3501 = 3505"], "key": "four-digit-3505-9♠7♦6♦J♠9♦Q♥4♣6♠9♣"} {"id": "train-four-digit-0879", "level": "four-digit", "target": 9393, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 5 + (7 + 12) * (8 + 6 * (9 + 6 * 12))", "solution_steps": ["7 + 12 = 19", "6 × 12 = 72", "9 + 72 = 81", "6 × 81 = 486", "8 + 486 = 494", "19 × 494 = 9386", "5 + 9386 = 9391", "2 + 9391 = 9393"], "key": "four-digit-9393-Q♠6♣7♦6♠9♣Q♣2♠8♣5♥"} {"id": "train-four-digit-0880", "level": "four-digit", "target": 7912, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "C", "label": "6♣"}], "solution": "2 + 5 + 7 * 13 * (6 + 9 * 9) - 9 - 3", "solution_steps": ["9 × 9 = 81", "6 + 81 = 87", "13 × 87 = 1131", "7 × 1131 = 7917", "7917 − 9 = 7908", "5 + 7908 = 7913", "7913 − 3 = 7910", "2 + 7910 = 7912"], "key": "four-digit-7912-2♦3♣7♣9♦9♣K♥9♥5♦6♣"} {"id": "train-four-digit-0881", "level": "four-digit", "target": 8274, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 2 + 4 * 5 * 9 * (7 + 3 * 13) - 9", "solution_steps": ["3 × 13 = 39", "7 + 39 = 46", "9 × 46 = 414", "5 × 414 = 2070", "4 × 2070 = 8280", "8280 − 9 = 8271", "2 + 8271 = 8273", "1 + 8273 = 8274"], "key": "four-digit-8274-A♠2♠9♣3♥K♦5♥9♥4♥7♦"} {"id": "train-four-digit-0882", "level": "four-digit", "target": 8805, "cards": [{"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 + 9 * (12 * (5 + 7 * 11) - 5) - 5 - 4", "solution_steps": ["7 × 11 = 77", "5 + 77 = 82", "12 × 82 = 984", "984 − 5 = 979", "9 × 979 = 8811", "8811 − 5 = 8806", "8806 − 4 = 8802", "3 + 8802 = 8805"], "key": "four-digit-8805-Q♠9♦5♥7♠5♦3♠4♥5♣J♣"} {"id": "train-four-digit-0883", "level": "four-digit", "target": 7611, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 3 + 10 * (11 + 5 * 10 * (7 + 8)) - 4", "solution_steps": ["7 + 8 = 15", "10 × 15 = 150", "5 × 150 = 750", "11 + 750 = 761", "10 × 761 = 7610", "7610 − 4 = 7606", "3 + 7606 = 7609", "2 + 7609 = 7611"], "key": "four-digit-7611-7♥J♣4♠10♠5♠2♦10♣3♦8♥"} {"id": "train-four-digit-0884", "level": "four-digit", "target": 2564, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 1 + 1 + 9 * 11 * (2 + 4 * 6) - 13", "solution_steps": ["4 × 6 = 24", "2 + 24 = 26", "11 × 26 = 286", "9 × 286 = 2574", "2574 − 13 = 2561", "1 + 2561 = 2562", "1 + 2562 = 2563", "1 + 2563 = 2564"], "key": "four-digit-2564-9♦A♠4♥A♦6♠K♥2♠J♣A♣"} {"id": "train-four-digit-0885", "level": "four-digit", "target": 4621, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "1 + 1 + 11 + 4 * 6 * 8 * (10 + 2 * 7)", "solution_steps": ["2 × 7 = 14", "10 + 14 = 24", "8 × 24 = 192", "6 × 192 = 1152", "4 × 1152 = 4608", "11 + 4608 = 4619", "1 + 4619 = 4620", "1 + 4620 = 4621"], "key": "four-digit-4621-8♣4♥6♠A♥2♠J♥10♣A♠7♥"} {"id": "train-four-digit-0886", "level": "four-digit", "target": 2949, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "S", "label": "7♠"}], "solution": "4 + 7 + 8 + 7 * 7 * (8 * 9 - 12) - 10", "solution_steps": ["8 × 9 = 72", "72 − 12 = 60", "7 × 60 = 420", "7 × 420 = 2940", "2940 − 10 = 2930", "8 + 2930 = 2938", "7 + 2938 = 2945", "4 + 2945 = 2949"], "key": "four-digit-2949-8♠10♠7♥7♣4♦8♣9♦Q♦7♠"} {"id": "train-four-digit-0887", "level": "four-digit", "target": 3057, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 6 + 12 + 7 * (7 * 8 * 8 - 13) - 7", "solution_steps": ["8 × 8 = 64", "7 × 64 = 448", "448 − 13 = 435", "7 × 435 = 3045", "12 + 3045 = 3057", "3057 − 7 = 3050", "6 + 3050 = 3056", "1 + 3056 = 3057"], "key": "four-digit-3057-8♠Q♥6♦8♦7♥A♦7♠K♥7♦"} {"id": "train-four-digit-0888", "level": "four-digit", "target": 6733, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 2 + 12 * (4 + 13) * (9 + 11 + 13) - 3", "solution_steps": ["4 + 13 = 17", "11 + 13 = 24", "9 + 24 = 33", "17 × 33 = 561", "12 × 561 = 6732", "6732 − 3 = 6729", "2 + 6729 = 6731", "2 + 6731 = 6733"], "key": "four-digit-6733-4♣K♣9♥K♦Q♦J♠2♥3♥2♠"} {"id": "train-four-digit-0889", "level": "four-digit", "target": 7325, "cards": [{"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 2 + (5 + 9) * (3 + 8 * (5 + 6 * 10))", "solution_steps": ["5 + 9 = 14", "6 × 10 = 60", "5 + 60 = 65", "8 × 65 = 520", "3 + 520 = 523", "14 × 523 = 7322", "2 + 7322 = 7324", "1 + 7324 = 7325"], "key": "four-digit-7325-5♥A♣2♦8♣10♣9♠5♣3♠6♥"} {"id": "train-four-digit-0890", "level": "four-digit", "target": 9666, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 8 + 5 * 12 * (9 + 8 * (6 + 13)) - 3", "solution_steps": ["6 + 13 = 19", "8 × 19 = 152", "9 + 152 = 161", "12 × 161 = 1932", "5 × 1932 = 9660", "8 + 9660 = 9668", "9668 − 3 = 9665", "1 + 9665 = 9666"], "key": "four-digit-9666-8♠8♥A♠5♥6♣3♠9♠Q♣K♠"} {"id": "train-four-digit-0891", "level": "four-digit", "target": 5325, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 6, "suit": "H", "label": "6♥"}], "solution": "1 + 4 + 6 + 7 * (7 * 10 * 11 - 9) - 13", "solution_steps": ["10 × 11 = 110", "7 × 110 = 770", "770 − 9 = 761", "7 × 761 = 5327", "5327 − 13 = 5314", "6 + 5314 = 5320", "4 + 5320 = 5324", "1 + 5324 = 5325"], "key": "four-digit-5325-4♦9♠7♠A♥J♣K♦7♥10♦6♥"} {"id": "train-four-digit-0892", "level": "four-digit", "target": 8090, "cards": [{"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "1 + 1 + 3 * (8 + 6 * 8 * 8 * (9 - 2))", "solution_steps": ["9 − 2 = 7", "8 × 7 = 56", "8 × 56 = 448", "6 × 448 = 2688", "8 + 2688 = 2696", "3 × 2696 = 8088", "1 + 8088 = 8089", "1 + 8089 = 8090"], "key": "four-digit-8090-8♦A♥6♦9♣8♥A♦2♣3♦8♠"} {"id": "train-four-digit-0893", "level": "four-digit", "target": 2289, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "3 + 3 + 10 * (9 + 10 * 10 * 11 / 5) - 7", "solution_steps": ["10 × 11 = 110", "10 × 110 = 1100", "1100 ÷ 5 = 220", "9 + 220 = 229", "10 × 229 = 2290", "2290 − 7 = 2283", "3 + 2283 = 2286", "3 + 2286 = 2289"], "key": "four-digit-2289-10♦7♣3♦5♥9♣3♣10♣10♠J♣"} {"id": "train-four-digit-0894", "level": "four-digit", "target": 2412, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "4 + 5 + 6 + (5 + 12) * (7 + 12 * 12 - 10)", "solution_steps": ["5 + 12 = 17", "12 × 12 = 144", "144 − 10 = 134", "7 + 134 = 141", "17 × 141 = 2397", "6 + 2397 = 2403", "5 + 2403 = 2408", "4 + 2408 = 2412"], "key": "four-digit-2412-Q♥4♥10♥5♥6♥7♦5♦Q♣Q♦"} {"id": "train-four-digit-0895", "level": "four-digit", "target": 8959, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 3 + 4 + 5 * (10 * (11 + 13 * 13) - 10)", "solution_steps": ["13 × 13 = 169", "11 + 169 = 180", "10 × 180 = 1800", "1800 − 10 = 1790", "5 × 1790 = 8950", "4 + 8950 = 8954", "3 + 8954 = 8957", "2 + 8957 = 8959"], "key": "four-digit-8959-2♥J♣K♥4♦5♦3♥10♣10♥K♦"} {"id": "train-four-digit-0896", "level": "four-digit", "target": 7934, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 4 + 7 + 10 / 5 + 8 * 9 * 10 * 11", "solution_steps": ["10 ÷ 5 = 2", "10 × 11 = 110", "9 × 110 = 990", "8 × 990 = 7920", "2 + 7920 = 7922", "7 + 7922 = 7929", "4 + 7929 = 7933", "1 + 7933 = 7934"], "key": "four-digit-7934-A♥5♠10♦8♦9♦10♠7♦4♠J♠"} {"id": "train-four-digit-0897", "level": "four-digit", "target": 2741, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "3 + 5 + 7 + 12 * (7 + 13 * (7 + 10)) - 10", "solution_steps": ["7 + 10 = 17", "13 × 17 = 221", "7 + 221 = 228", "12 × 228 = 2736", "2736 − 10 = 2726", "7 + 2726 = 2733", "5 + 2733 = 2738", "3 + 2738 = 2741"], "key": "four-digit-2741-3♥10♠K♠Q♠7♣7♦5♣7♥10♦"} {"id": "train-four-digit-0898", "level": "four-digit", "target": 4529, "cards": [{"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "4 + 5 + 8 * (6 + 5 * (11 * 11 - 9)) - 8", "solution_steps": ["11 × 11 = 121", "121 − 9 = 112", "5 × 112 = 560", "6 + 560 = 566", "8 × 566 = 4528", "4528 − 8 = 4520", "5 + 4520 = 4525", "4 + 4525 = 4529"], "key": "four-digit-4529-J♦6♠8♥8♠5♠9♦4♥5♦J♠"} {"id": "train-four-digit-0899", "level": "four-digit", "target": 2044, "cards": [{"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + 3 + 12 * (11 * (4 + 12) - 6) - 10 / 10", "solution_steps": ["4 + 12 = 16", "11 × 16 = 176", "176 − 6 = 170", "12 × 170 = 2040", "10 ÷ 10 = 1", "2040 − 1 = 2039", "3 + 2039 = 2042", "2 + 2042 = 2044"], "key": "four-digit-2044-Q♣J♥2♥Q♠3♦10♣6♠4♥10♦"} {"id": "train-four-digit-0900", "level": "four-digit", "target": 1408, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 1 + 5 + (8 + 10) * (6 + 6 * 12) - 3", "solution_steps": ["8 + 10 = 18", "6 × 12 = 72", "6 + 72 = 78", "18 × 78 = 1404", "5 + 1404 = 1409", "1409 − 3 = 1406", "1 + 1406 = 1407", "1 + 1407 = 1408"], "key": "four-digit-1408-A♦8♣Q♣6♥A♠6♦3♣5♥10♠"} {"id": "train-four-digit-0901", "level": "four-digit", "target": 2392, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "1 + 1 + 2 + 8 * 13 * (3 + 2 * 10) - 4", "solution_steps": ["2 × 10 = 20", "3 + 20 = 23", "13 × 23 = 299", "8 × 299 = 2392", "2392 − 4 = 2388", "2 + 2388 = 2390", "1 + 2390 = 2391", "1 + 2391 = 2392"], "key": "four-digit-2392-A♦K♣A♠8♥4♥2♦10♦3♠2♠"} {"id": "train-four-digit-0902", "level": "four-digit", "target": 7502, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "1 + 13 * (3 + 4 * 6 * 9 * (2 + 6)) / 3", "solution_steps": ["2 + 6 = 8", "9 × 8 = 72", "6 × 72 = 432", "4 × 432 = 1728", "3 + 1728 = 1731", "13 × 1731 = 22503", "22503 ÷ 3 = 7501", "1 + 7501 = 7502"], "key": "four-digit-7502-4♦9♥A♥6♣6♠3♥K♥2♠3♦"} {"id": "train-four-digit-0903", "level": "four-digit", "target": 6450, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 4 + 13 * (6 * 7 * 13 - 5 * 10) - 4", "solution_steps": ["7 × 13 = 91", "6 × 91 = 546", "5 × 10 = 50", "546 − 50 = 496", "13 × 496 = 6448", "6448 − 4 = 6444", "4 + 6444 = 6448", "2 + 6448 = 6450"], "key": "four-digit-6450-4♥6♥10♠7♣K♥5♥4♦K♦2♠"} {"id": "train-four-digit-0904", "level": "four-digit", "target": 1684, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 3 + 4 * (12 + 7 * (7 * 10 - 11) - 5)", "solution_steps": ["7 × 10 = 70", "70 − 11 = 59", "7 × 59 = 413", "12 + 413 = 425", "425 − 5 = 420", "4 × 420 = 1680", "3 + 1680 = 1683", "1 + 1683 = 1684"], "key": "four-digit-1684-Q♦10♣7♥5♦7♠J♠3♥4♥A♥"} {"id": "train-four-digit-0905", "level": "four-digit", "target": 8192, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "2 + 5 * 8 * (5 + 8) * (8 * 9 - 9) / 4", "solution_steps": ["5 + 8 = 13", "8 × 9 = 72", "72 − 9 = 63", "13 × 63 = 819", "8 × 819 = 6552", "5 × 6552 = 32760", "32760 ÷ 4 = 8190", "2 + 8190 = 8192"], "key": "four-digit-8192-9♦2♦5♠8♥8♦8♠5♥9♥4♥"} {"id": "train-four-digit-0906", "level": "four-digit", "target": 2164, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}], "solution": "1 + 2 + 3 + 13 * (7 * 12 + 8 * 11 - 6)", "solution_steps": ["7 × 12 = 84", "8 × 11 = 88", "84 + 88 = 172", "172 − 6 = 166", "13 × 166 = 2158", "3 + 2158 = 2161", "2 + 2161 = 2163", "1 + 2163 = 2164"], "key": "four-digit-2164-2♥Q♥8♥6♦K♠A♥7♠3♠J♣"} {"id": "train-four-digit-0907", "level": "four-digit", "target": 4884, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "5 + 5 + 11 * (12 + 6 * 12 * (13 - 7)) - 10", "solution_steps": ["13 − 7 = 6", "12 × 6 = 72", "6 × 72 = 432", "12 + 432 = 444", "11 × 444 = 4884", "4884 − 10 = 4874", "5 + 4874 = 4879", "5 + 4879 = 4884"], "key": "four-digit-4884-6♦J♥5♥7♦5♦Q♠Q♥10♣K♣"} {"id": "train-four-digit-0908", "level": "four-digit", "target": 8821, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 1 * 3 * 3 * 4 * (12 * (8 + 13) - 7)", "solution_steps": ["8 + 13 = 21", "12 × 21 = 252", "252 − 7 = 245", "4 × 245 = 980", "3 × 980 = 2940", "3 × 2940 = 8820", "1 × 8820 = 8820", "1 + 8820 = 8821"], "key": "four-digit-8821-A♣7♦A♠Q♣4♦8♠K♦3♥3♣"} {"id": "train-four-digit-0909", "level": "four-digit", "target": 1331, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "3 + 5 + 6 + 6 + (7 + 12) * (8 * 10 - 11)", "solution_steps": ["7 + 12 = 19", "8 × 10 = 80", "80 − 11 = 69", "19 × 69 = 1311", "6 + 1311 = 1317", "6 + 1317 = 1323", "5 + 1323 = 1328", "3 + 1328 = 1331"], "key": "four-digit-1331-3♣5♣6♥10♥8♦J♦Q♦6♠7♥"} {"id": "train-four-digit-0910", "level": "four-digit", "target": 3278, "cards": [{"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "1 + 3 + 7 + (12 + 13) * (11 + 10 * 12) - 8", "solution_steps": ["12 + 13 = 25", "10 × 12 = 120", "11 + 120 = 131", "25 × 131 = 3275", "3275 − 8 = 3267", "7 + 3267 = 3274", "3 + 3274 = 3277", "1 + 3277 = 3278"], "key": "four-digit-3278-7♥A♥Q♥3♦J♦10♦Q♣K♣8♥"} {"id": "train-four-digit-0911", "level": "four-digit", "target": 4895, "cards": [{"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 + 4 + 13 * (6 * 9 * 9 - 10 * 11)", "solution_steps": ["9 × 9 = 81", "6 × 81 = 486", "10 × 11 = 110", "486 − 110 = 376", "13 × 376 = 4888", "4 + 4888 = 4892", "2 + 4892 = 4894", "1 + 4894 = 4895"], "key": "four-digit-4895-4♥10♠J♦2♦A♠9♠6♣9♥K♠"} {"id": "train-four-digit-0912", "level": "four-digit", "target": 1803, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "D", "label": "5♦"}], "solution": "4 + 4 + (6 + 9) * (8 + 8 * (7 + 7)) - 5", "solution_steps": ["6 + 9 = 15", "7 + 7 = 14", "8 × 14 = 112", "8 + 112 = 120", "15 × 120 = 1800", "1800 − 5 = 1795", "4 + 1795 = 1799", "4 + 1799 = 1803"], "key": "four-digit-1803-7♣7♦8♠4♠6♠9♦4♥8♣5♦"} {"id": "train-four-digit-0913", "level": "four-digit", "target": 7806, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 6 + 7 * (3 * 11 * (6 * 7 - 8) - 8)", "solution_steps": ["6 × 7 = 42", "42 − 8 = 34", "11 × 34 = 374", "3 × 374 = 1122", "1122 − 8 = 1114", "7 × 1114 = 7798", "6 + 7798 = 7804", "2 + 7804 = 7806"], "key": "four-digit-7806-7♠3♥7♥8♣J♠6♦2♣8♦6♠"} {"id": "train-four-digit-0914", "level": "four-digit", "target": 8669, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "4 + 5 + 6 * (6 + 11) * (8 + 7 * 11) - 10", "solution_steps": ["6 + 11 = 17", "7 × 11 = 77", "8 + 77 = 85", "17 × 85 = 1445", "6 × 1445 = 8670", "8670 − 10 = 8660", "5 + 8660 = 8665", "4 + 8665 = 8669"], "key": "four-digit-8669-J♥7♣6♦6♠8♦10♠5♥4♠J♠"} {"id": "train-four-digit-0915", "level": "four-digit", "target": 2748, "cards": [{"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 1 + 2 + 9 * 9 * (5 * 8 - 6) - 10", "solution_steps": ["5 × 8 = 40", "40 − 6 = 34", "9 × 34 = 306", "9 × 306 = 2754", "2754 − 10 = 2744", "2 + 2744 = 2746", "1 + 2746 = 2747", "1 + 2747 = 2748"], "key": "four-digit-2748-9♣6♦A♦A♣8♣5♥2♦9♦10♦"} {"id": "train-four-digit-0916", "level": "four-digit", "target": 4800, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}], "solution": "2 + 7 + 12 * (11 * (11 + 13 + 13) - 7) - 9", "solution_steps": ["13 + 13 = 26", "11 + 26 = 37", "11 × 37 = 407", "407 − 7 = 400", "12 × 400 = 4800", "4800 − 9 = 4791", "7 + 4791 = 4798", "2 + 4798 = 4800"], "key": "four-digit-4800-2♦K♠J♥7♦9♥J♣7♣Q♦K♦"} {"id": "train-four-digit-0917", "level": "four-digit", "target": 3397, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "4 + 4 + 5 + (4 * 11 - 8) * (10 * 10 - 6)", "solution_steps": ["4 × 11 = 44", "44 − 8 = 36", "10 × 10 = 100", "100 − 6 = 94", "36 × 94 = 3384", "5 + 3384 = 3389", "4 + 3389 = 3393", "4 + 3393 = 3397"], "key": "four-digit-3397-4♠6♣10♣4♦5♠10♥4♣J♥8♦"} {"id": "train-four-digit-0918", "level": "four-digit", "target": 2439, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 4 + 4 + 6 + 12 * (13 * (7 + 9) - 6)", "solution_steps": ["7 + 9 = 16", "13 × 16 = 208", "208 − 6 = 202", "12 × 202 = 2424", "6 + 2424 = 2430", "4 + 2430 = 2434", "4 + 2434 = 2438", "1 + 2438 = 2439"], "key": "four-digit-2439-6♣Q♥A♠9♦7♥6♦4♥K♦4♣"} {"id": "train-four-digit-0919", "level": "four-digit", "target": 9301, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 5 + 6 + 13 * (11 + 8 * 8 * 11) - 6", "solution_steps": ["8 × 11 = 88", "8 × 88 = 704", "11 + 704 = 715", "13 × 715 = 9295", "9295 − 6 = 9289", "6 + 9289 = 9295", "5 + 9295 = 9300", "1 + 9300 = 9301"], "key": "four-digit-9301-J♣J♦6♣8♠6♦8♣K♠5♥A♥"} {"id": "train-four-digit-0920", "level": "four-digit", "target": 5223, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 + 3 * 12 * (7 * (9 + 12) - 2) - 1", "solution_steps": ["9 + 12 = 21", "7 × 21 = 147", "147 − 2 = 145", "12 × 145 = 1740", "3 × 1740 = 5220", "3 + 5220 = 5223", "5223 − 1 = 5222", "1 + 5222 = 5223"], "key": "four-digit-5223-Q♦7♠A♠2♣3♥Q♥A♥9♥3♣"} {"id": "train-four-digit-0921", "level": "four-digit", "target": 3115, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 2 + 3 * ((6 + 9) * (5 + 5 * 13) - 13)", "solution_steps": ["6 + 9 = 15", "5 × 13 = 65", "5 + 65 = 70", "15 × 70 = 1050", "1050 − 13 = 1037", "3 × 1037 = 3111", "2 + 3111 = 3113", "2 + 3113 = 3115"], "key": "four-digit-3115-K♠K♦9♣5♣2♥6♦5♥3♠2♦"} {"id": "train-four-digit-0922", "level": "four-digit", "target": 7811, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 3 + 7 * (13 - 4) * (11 * 12 - 8) - 5", "solution_steps": ["13 − 4 = 9", "11 × 12 = 132", "132 − 8 = 124", "9 × 124 = 1116", "7 × 1116 = 7812", "7812 − 5 = 7807", "3 + 7807 = 7810", "1 + 7810 = 7811"], "key": "four-digit-7811-4♦5♣A♦J♠K♥3♠Q♦7♦8♦"} {"id": "train-four-digit-0923", "level": "four-digit", "target": 7286, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "2 + 2 + 12 * (7 + 8 * (9 + 6 * 11)) - 2", "solution_steps": ["6 × 11 = 66", "9 + 66 = 75", "8 × 75 = 600", "7 + 600 = 607", "12 × 607 = 7284", "7284 − 2 = 7282", "2 + 7282 = 7284", "2 + 7284 = 7286"], "key": "four-digit-7286-2♦J♠6♣Q♦9♣2♣8♣7♥2♥"} {"id": "train-four-digit-0924", "level": "four-digit", "target": 6409, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "D", "label": "7♦"}], "solution": "1 + 3 + 5 + 8 * 10 * (7 * (6 + 6) - 4)", "solution_steps": ["6 + 6 = 12", "7 × 12 = 84", "84 − 4 = 80", "10 × 80 = 800", "8 × 800 = 6400", "5 + 6400 = 6405", "3 + 6405 = 6408", "1 + 6408 = 6409"], "key": "four-digit-6409-3♠5♦4♣6♠8♠A♦6♦10♥7♦"} {"id": "train-four-digit-0925", "level": "four-digit", "target": 6769, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 3 + 5 * (11 + (10 + 12) * (8 * 9 - 11))", "solution_steps": ["10 + 12 = 22", "8 × 9 = 72", "72 − 11 = 61", "22 × 61 = 1342", "11 + 1342 = 1353", "5 × 1353 = 6765", "3 + 6765 = 6768", "1 + 6768 = 6769"], "key": "four-digit-6769-8♣9♥5♠J♥A♦3♣10♥J♦Q♣"} {"id": "train-four-digit-0926", "level": "four-digit", "target": 8489, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 2 + 2 + 7 * 12 * (3 + 8 * 13 - 6)", "solution_steps": ["8 × 13 = 104", "104 − 6 = 98", "3 + 98 = 101", "12 × 101 = 1212", "7 × 1212 = 8484", "2 + 8484 = 8486", "2 + 8486 = 8488", "1 + 8488 = 8489"], "key": "four-digit-8489-K♦Q♦3♥6♠2♥8♥2♣A♠7♣"} {"id": "train-four-digit-0927", "level": "four-digit", "target": 6334, "cards": [{"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 2 + 8 * 12 * (4 * (5 + 13) - 6) - 5", "solution_steps": ["5 + 13 = 18", "4 × 18 = 72", "72 − 6 = 66", "12 × 66 = 792", "8 × 792 = 6336", "6336 − 5 = 6331", "2 + 6331 = 6333", "1 + 6333 = 6334"], "key": "four-digit-6334-K♠5♦Q♦A♠6♦5♥4♠2♣8♣"} {"id": "train-four-digit-0928", "level": "four-digit", "target": 2963, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 2 + 12 * 13 * (8 + 9 + 12 - 10) - 5", "solution_steps": ["12 − 10 = 2", "9 + 2 = 11", "8 + 11 = 19", "13 × 19 = 247", "12 × 247 = 2964", "2964 − 5 = 2959", "2 + 2959 = 2961", "2 + 2961 = 2963"], "key": "four-digit-2963-K♦10♦Q♦Q♣2♠9♣8♠5♥2♦"} {"id": "train-four-digit-0929", "level": "four-digit", "target": 7838, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 2 + 11 + 13 * (8 + 6 * 9 * 11) - 2", "solution_steps": ["9 × 11 = 99", "6 × 99 = 594", "8 + 594 = 602", "13 × 602 = 7826", "11 + 7826 = 7837", "7837 − 2 = 7835", "2 + 7835 = 7837", "1 + 7837 = 7838"], "key": "four-digit-7838-J♥2♠A♦J♠9♦2♦K♥6♠8♣"} {"id": "train-four-digit-0930", "level": "four-digit", "target": 8884, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "1 + 1 + 13 * (8 + 13 * (5 * 11 - 3)) - 10", "solution_steps": ["5 × 11 = 55", "55 − 3 = 52", "13 × 52 = 676", "8 + 676 = 684", "13 × 684 = 8892", "8892 − 10 = 8882", "1 + 8882 = 8883", "1 + 8883 = 8884"], "key": "four-digit-8884-A♠8♠5♦J♠A♦3♥K♣K♥10♦"} {"id": "train-four-digit-0931", "level": "four-digit", "target": 9987, "cards": [{"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "1 + 2 + 6 * (3 + 11 * (13 * 13 - 11 - 7))", "solution_steps": ["13 × 13 = 169", "169 − 11 = 158", "158 − 7 = 151", "11 × 151 = 1661", "3 + 1661 = 1664", "6 × 1664 = 9984", "2 + 9984 = 9986", "1 + 9986 = 9987"], "key": "four-digit-9987-J♥7♦K♦6♦2♠3♣K♣A♣J♦"} {"id": "train-four-digit-0932", "level": "four-digit", "target": 4869, "cards": [{"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 * (11 * (11 - 5) * (5 + 4 * 8) - 8)", "solution_steps": ["11 − 5 = 6", "4 × 8 = 32", "5 + 32 = 37", "6 × 37 = 222", "11 × 222 = 2442", "2442 − 8 = 2434", "2 × 2434 = 4868", "1 + 4868 = 4869"], "key": "four-digit-4869-A♥5♣5♥J♣J♠8♦4♣8♣2♥"} {"id": "train-four-digit-0933", "level": "four-digit", "target": 4937, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 4 + 5 + 13 * (7 * 11 * (12 - 7) - 6)", "solution_steps": ["12 − 7 = 5", "11 × 5 = 55", "7 × 55 = 385", "385 − 6 = 379", "13 × 379 = 4927", "5 + 4927 = 4932", "4 + 4932 = 4936", "1 + 4936 = 4937"], "key": "four-digit-4937-6♥K♠Q♦5♠J♥7♠7♣A♠4♥"} {"id": "train-four-digit-0934", "level": "four-digit", "target": 4873, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}], "solution": "1 + 3 + 7 + 11 * (5 + 12) * (7 + 9 + 10)", "solution_steps": ["5 + 12 = 17", "9 + 10 = 19", "7 + 19 = 26", "17 × 26 = 442", "11 × 442 = 4862", "7 + 4862 = 4869", "3 + 4869 = 4872", "1 + 4872 = 4873"], "key": "four-digit-4873-3♠7♥A♥10♦9♠7♦5♥J♥Q♥"} {"id": "train-four-digit-0935", "level": "four-digit", "target": 9433, "cards": [{"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 2 + 5 * (4 + 12) * (11 * 11 - 3) - 11", "solution_steps": ["4 + 12 = 16", "11 × 11 = 121", "121 − 3 = 118", "16 × 118 = 1888", "5 × 1888 = 9440", "9440 − 11 = 9429", "2 + 9429 = 9431", "2 + 9431 = 9433"], "key": "four-digit-9433-Q♥5♦2♣J♣J♦4♦2♦J♥3♦"} {"id": "train-four-digit-0936", "level": "four-digit", "target": 7985, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "2 + 5 + 7 * (3 + 12) * (8 * 10 - 4) - 2", "solution_steps": ["3 + 12 = 15", "8 × 10 = 80", "80 − 4 = 76", "15 × 76 = 1140", "7 × 1140 = 7980", "5 + 7980 = 7985", "7985 − 2 = 7983", "2 + 7983 = 7985"], "key": "four-digit-7985-2♠10♥4♣7♠8♣2♥Q♣5♥3♣"} {"id": "train-four-digit-0937", "level": "four-digit", "target": 6902, "cards": [{"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "2 + 3 + 4 + 8 + 9 * (7 * 10 * 11 - 5)", "solution_steps": ["10 × 11 = 110", "7 × 110 = 770", "770 − 5 = 765", "9 × 765 = 6885", "8 + 6885 = 6893", "4 + 6893 = 6897", "3 + 6897 = 6900", "2 + 6900 = 6902"], "key": "four-digit-6902-8♠J♠10♠2♥9♥3♥4♣7♦5♥"} {"id": "train-four-digit-0938", "level": "four-digit", "target": 9874, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "2 + 6 + 11 * 13 * (8 * 10 - 11) - 6 / 6", "solution_steps": ["8 × 10 = 80", "80 − 11 = 69", "13 × 69 = 897", "11 × 897 = 9867", "6 ÷ 6 = 1", "9867 − 1 = 9866", "6 + 9866 = 9872", "2 + 9872 = 9874"], "key": "four-digit-9874-2♦K♦6♦10♥J♠6♥J♣8♥6♠"} {"id": "train-four-digit-0939", "level": "four-digit", "target": 2050, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "H", "label": "7♥"}], "solution": "2 + 3 + 4 + (6 + 7) * (8 * (10 + 11) - 11)", "solution_steps": ["6 + 7 = 13", "10 + 11 = 21", "8 × 21 = 168", "168 − 11 = 157", "13 × 157 = 2041", "4 + 2041 = 2045", "3 + 2045 = 2048", "2 + 2048 = 2050"], "key": "four-digit-2050-4♦6♠2♦8♣J♦J♠10♦3♣7♥"} {"id": "train-four-digit-0940", "level": "four-digit", "target": 6719, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 2 * 8 * (10 + 10) * (1 + 10 + 10) - 2", "solution_steps": ["10 + 10 = 20", "10 + 10 = 20", "1 + 20 = 21", "20 × 21 = 420", "8 × 420 = 3360", "2 × 3360 = 6720", "6720 − 2 = 6718", "1 + 6718 = 6719"], "key": "four-digit-6719-10♥A♥2♦10♣2♣8♦A♣10♦10♠"} {"id": "train-four-digit-0941", "level": "four-digit", "target": 4187, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 2 + 4 * (3 * (3 * 10 * 12 - 10) - 4)", "solution_steps": ["10 × 12 = 120", "3 × 120 = 360", "360 − 10 = 350", "3 × 350 = 1050", "1050 − 4 = 1046", "4 × 1046 = 4184", "2 + 4184 = 4186", "1 + 4186 = 4187"], "key": "four-digit-4187-10♦10♣2♥4♦4♣A♣3♥Q♥3♣"} {"id": "train-four-digit-0942", "level": "four-digit", "target": 4734, "cards": [{"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "1 + 3 + 5 * (4 + 12 + 10 * (13 + 8 * 10))", "solution_steps": ["8 × 10 = 80", "13 + 80 = 93", "10 × 93 = 930", "12 + 930 = 942", "4 + 942 = 946", "5 × 946 = 4730", "3 + 4730 = 4733", "1 + 4733 = 4734"], "key": "four-digit-4734-K♦4♠Q♠A♦10♣10♠3♣5♠8♦"} {"id": "train-four-digit-0943", "level": "four-digit", "target": 6062, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "2 + 5 + 5 * (8 * 9 * (10 + 13 - 6) - 13)", "solution_steps": ["10 + 13 = 23", "23 − 6 = 17", "9 × 17 = 153", "8 × 153 = 1224", "1224 − 13 = 1211", "5 × 1211 = 6055", "5 + 6055 = 6060", "2 + 6060 = 6062"], "key": "four-digit-6062-2♠5♥9♠K♣8♠10♣6♣5♠K♥"} {"id": "train-four-digit-0944", "level": "four-digit", "target": 4162, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "2 + 3 + 10 + 7 * 11 * (6 + 4 * 12) - 11", "solution_steps": ["4 × 12 = 48", "6 + 48 = 54", "11 × 54 = 594", "7 × 594 = 4158", "4158 − 11 = 4147", "10 + 4147 = 4157", "3 + 4157 = 4160", "2 + 4160 = 4162"], "key": "four-digit-4162-3♥6♥7♣4♥J♣Q♥2♠10♦J♠"} {"id": "train-four-digit-0945", "level": "four-digit", "target": 9607, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 9, "suit": "D", "label": "9♦"}], "solution": "1 + 5 + 9 + 11 * (5 + 8 * 10 * 11 - 13)", "solution_steps": ["10 × 11 = 110", "8 × 110 = 880", "880 − 13 = 867", "5 + 867 = 872", "11 × 872 = 9592", "9 + 9592 = 9601", "5 + 9601 = 9606", "1 + 9606 = 9607"], "key": "four-digit-9607-5♣A♥J♣5♦J♦8♦K♦10♠9♦"} {"id": "train-four-digit-0946", "level": "four-digit", "target": 6090, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 6 * (4 + 4) * (7 + 10 * 12) - 5 - 2", "solution_steps": ["4 + 4 = 8", "10 × 12 = 120", "7 + 120 = 127", "8 × 127 = 1016", "6 × 1016 = 6096", "6096 − 5 = 6091", "6091 − 2 = 6089", "1 + 6089 = 6090"], "key": "four-digit-6090-4♦A♠4♠Q♥2♣5♠6♦7♣10♣"} {"id": "train-four-digit-0947", "level": "four-digit", "target": 8808, "cards": [{"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 2, "suit": "C", "label": "2♣"}], "solution": "2 + 4 + 6 * (12 * (12 * (3 + 8) - 9) - 9)", "solution_steps": ["3 + 8 = 11", "12 × 11 = 132", "132 − 9 = 123", "12 × 123 = 1476", "1476 − 9 = 1467", "6 × 1467 = 8802", "4 + 8802 = 8806", "2 + 8806 = 8808"], "key": "four-digit-8808-6♥9♠8♣Q♦3♦Q♣9♥4♠2♣"} {"id": "train-four-digit-0948", "level": "four-digit", "target": 4979, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 9, "suit": "S", "label": "9♠"}], "solution": "3 + 6 + (9 + 12) * (13 * (9 + 10) - 10) - 7", "solution_steps": ["9 + 12 = 21", "9 + 10 = 19", "13 × 19 = 247", "247 − 10 = 237", "21 × 237 = 4977", "4977 − 7 = 4970", "6 + 4970 = 4976", "3 + 4976 = 4979"], "key": "four-digit-4979-7♠10♠3♦9♦10♦K♠Q♣6♠9♠"} {"id": "train-four-digit-0949", "level": "four-digit", "target": 4177, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "2 + 3 + 5 + 10 * (8 + 11) * (10 + 12) - 13", "solution_steps": ["8 + 11 = 19", "10 + 12 = 22", "19 × 22 = 418", "10 × 418 = 4180", "4180 − 13 = 4167", "5 + 4167 = 4172", "3 + 4172 = 4175", "2 + 4175 = 4177"], "key": "four-digit-4177-10♠5♠10♦2♣Q♣K♦J♦3♦8♥"} {"id": "train-four-digit-0950", "level": "four-digit", "target": 6165, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 2 + 13 * (3 + 5 * (7 + 8 * 11) - 4)", "solution_steps": ["8 × 11 = 88", "7 + 88 = 95", "5 × 95 = 475", "475 − 4 = 471", "3 + 471 = 474", "13 × 474 = 6162", "2 + 6162 = 6164", "1 + 6164 = 6165"], "key": "four-digit-6165-7♦K♦J♠5♠3♦4♦2♥8♥A♦"} {"id": "train-four-digit-0951", "level": "four-digit", "target": 4029, "cards": [{"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 3 + (7 * 9 - 12) * (9 * 10 - 11) - 4", "solution_steps": ["7 × 9 = 63", "63 − 12 = 51", "9 × 10 = 90", "90 − 11 = 79", "51 × 79 = 4029", "4029 − 4 = 4025", "3 + 4025 = 4028", "1 + 4028 = 4029"], "key": "four-digit-4029-3♦7♠4♣9♦Q♠9♥A♠J♣10♣"} {"id": "train-four-digit-0952", "level": "four-digit", "target": 7260, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 1, "suit": "H", "label": "A♥"}], "solution": "1 + 4 + 5 * (6 * (8 * 11 + 12 * 13) - 13)", "solution_steps": ["8 × 11 = 88", "12 × 13 = 156", "88 + 156 = 244", "6 × 244 = 1464", "1464 − 13 = 1451", "5 × 1451 = 7255", "4 + 7255 = 7259", "1 + 7259 = 7260"], "key": "four-digit-7260-4♣8♦6♣5♥J♣Q♠K♣K♥A♥"} {"id": "train-four-digit-0953", "level": "four-digit", "target": 8719, "cards": [{"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "3 + (11 + 5 * 10) * (11 + 11 * 12) - 4 - 3", "solution_steps": ["5 × 10 = 50", "11 + 50 = 61", "11 × 12 = 132", "11 + 132 = 143", "61 × 143 = 8723", "8723 − 4 = 8719", "8719 − 3 = 8716", "3 + 8716 = 8719"], "key": "four-digit-8719-Q♦3♦4♥10♣3♥5♦J♠J♣J♦"} {"id": "train-four-digit-0954", "level": "four-digit", "target": 4998, "cards": [{"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "3 + 3 + 8 + 4 * (5 + 9) * (9 * 11 - 10)", "solution_steps": ["5 + 9 = 14", "9 × 11 = 99", "99 − 10 = 89", "14 × 89 = 1246", "4 × 1246 = 4984", "8 + 4984 = 4992", "3 + 4992 = 4995", "3 + 4995 = 4998"], "key": "four-digit-4998-10♦9♠8♠9♦5♥3♦3♠4♥J♥"} {"id": "train-four-digit-0955", "level": "four-digit", "target": 9372, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 4 + 7 * 13 * (5 + 8 + 9 * 10) - 6", "solution_steps": ["9 × 10 = 90", "8 + 90 = 98", "5 + 98 = 103", "13 × 103 = 1339", "7 × 1339 = 9373", "9373 − 6 = 9367", "4 + 9367 = 9371", "1 + 9371 = 9372"], "key": "four-digit-9372-A♦6♦7♣10♥K♠5♦8♥9♠4♣"} {"id": "train-four-digit-0956", "level": "four-digit", "target": 1229, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 2 + 3 + 13 * (11 + 11 + 7 * 12 - 12)", "solution_steps": ["7 × 12 = 84", "84 − 12 = 72", "11 + 72 = 83", "11 + 83 = 94", "13 × 94 = 1222", "3 + 1222 = 1225", "2 + 1225 = 1227", "2 + 1227 = 1229"], "key": "four-digit-1229-3♣7♦Q♥J♣J♠Q♠2♣K♠2♠"} {"id": "train-four-digit-0957", "level": "four-digit", "target": 4805, "cards": [{"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "S", "label": "8♠"}], "solution": "6 + 6 + 8 + 11 * (12 + 9 * (7 * 8 - 9))", "solution_steps": ["7 × 8 = 56", "56 − 9 = 47", "9 × 47 = 423", "12 + 423 = 435", "11 × 435 = 4785", "8 + 4785 = 4793", "6 + 4793 = 4799", "6 + 4799 = 4805"], "key": "four-digit-4805-7♦6♠J♥6♣Q♥8♦9♦9♥8♠"} {"id": "train-four-digit-0958", "level": "four-digit", "target": 6209, "cards": [{"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 9, "suit": "C", "label": "9♣"}], "solution": "1 + 3 + (4 + 9) * (7 * 7 * 10 - 12) - 9", "solution_steps": ["4 + 9 = 13", "7 × 10 = 70", "7 × 70 = 490", "490 − 12 = 478", "13 × 478 = 6214", "6214 − 9 = 6205", "3 + 6205 = 6208", "1 + 6208 = 6209"], "key": "four-digit-6209-7♠Q♥7♥9♥10♠3♠4♣A♦9♣"} {"id": "train-four-digit-0959", "level": "four-digit", "target": 8323, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}], "solution": "2 + 2 + 12 * (12 + 11 * (6 * 12 - 10)) - 9", "solution_steps": ["6 × 12 = 72", "72 − 10 = 62", "11 × 62 = 682", "12 + 682 = 694", "12 × 694 = 8328", "8328 − 9 = 8319", "2 + 8319 = 8321", "2 + 8321 = 8323"], "key": "four-digit-8323-J♣10♦Q♦Q♥Q♠9♥2♣6♥2♠"} {"id": "train-four-digit-0960", "level": "four-digit", "target": 8346, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 12, "suit": "D", "label": "Q♦"}], "solution": "3 + 4 + 4 * 8 * (9 + 12 * (8 + 13)) - 13", "solution_steps": ["8 + 13 = 21", "12 × 21 = 252", "9 + 252 = 261", "8 × 261 = 2088", "4 × 2088 = 8352", "8352 − 13 = 8339", "4 + 8339 = 8343", "3 + 8343 = 8346"], "key": "four-digit-8346-9♠4♦3♦K♦4♥K♣8♣8♥Q♦"} {"id": "train-four-digit-0961", "level": "four-digit", "target": 2235, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 1 + 11 * (2 + 3 + 6 + 4 * 4 * 12)", "solution_steps": ["4 × 12 = 48", "4 × 48 = 192", "6 + 192 = 198", "3 + 198 = 201", "2 + 201 = 203", "11 × 203 = 2233", "1 + 2233 = 2234", "1 + 2234 = 2235"], "key": "four-digit-2235-A♣Q♣2♠4♠4♣6♥A♠J♣3♣"} {"id": "train-four-digit-0962", "level": "four-digit", "target": 3868, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 2 + (4 + 9) * (10 + 3 * 8 * 12) - 9", "solution_steps": ["4 + 9 = 13", "8 × 12 = 96", "3 × 96 = 288", "10 + 288 = 298", "13 × 298 = 3874", "3874 − 9 = 3865", "2 + 3865 = 3867", "1 + 3867 = 3868"], "key": "four-digit-3868-2♥3♣4♣9♣10♦9♦A♥Q♥8♣"} {"id": "train-four-digit-0963", "level": "four-digit", "target": 3932, "cards": [{"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}], "solution": "1 + 3 * (13 * (5 + 4 * 4 * 6) - 2) - 2", "solution_steps": ["4 × 6 = 24", "4 × 24 = 96", "5 + 96 = 101", "13 × 101 = 1313", "1313 − 2 = 1311", "3 × 1311 = 3933", "3933 − 2 = 3931", "1 + 3931 = 3932"], "key": "four-digit-3932-4♣K♣4♠3♥2♣A♣2♠6♥5♥"} {"id": "train-four-digit-0964", "level": "four-digit", "target": 5217, "cards": [{"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 2 + 3 * (13 * (12 * (5 + 7) - 10) - 4)", "solution_steps": ["5 + 7 = 12", "12 × 12 = 144", "144 − 10 = 134", "13 × 134 = 1742", "1742 − 4 = 1738", "3 × 1738 = 5214", "2 + 5214 = 5216", "1 + 5216 = 5217"], "key": "four-digit-5217-K♣Q♦A♥4♦7♣5♣10♦2♥3♠"} {"id": "train-four-digit-0965", "level": "four-digit", "target": 4600, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "H", "label": "2♥"}], "solution": "1 + 2 + 4 * (6 * 12 * (5 + 11) - 2) - 3", "solution_steps": ["5 + 11 = 16", "12 × 16 = 192", "6 × 192 = 1152", "1152 − 2 = 1150", "4 × 1150 = 4600", "4600 − 3 = 4597", "2 + 4597 = 4599", "1 + 4599 = 4600"], "key": "four-digit-4600-2♣4♣A♥5♥6♦3♥Q♥J♣2♥"} {"id": "train-four-digit-0966", "level": "four-digit", "target": 6097, "cards": [{"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 1, "suit": "D", "label": "A♦"}], "solution": "1 + 1 * 2 * 6 * (12 + 8 * (6 * 11 - 4))", "solution_steps": ["6 × 11 = 66", "66 − 4 = 62", "8 × 62 = 496", "12 + 496 = 508", "6 × 508 = 3048", "2 × 3048 = 6096", "1 × 6096 = 6096", "1 + 6096 = 6097"], "key": "four-digit-6097-2♠A♥6♥J♠4♣8♠6♣Q♠A♦"} {"id": "train-four-digit-0967", "level": "four-digit", "target": 8552, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 7, "suit": "C", "label": "7♣"}], "solution": "1 + 11 * (2 * 5 * 6 * (5 + 8) - 2) - 7", "solution_steps": ["5 + 8 = 13", "6 × 13 = 78", "5 × 78 = 390", "2 × 390 = 780", "780 − 2 = 778", "11 × 778 = 8558", "8558 − 7 = 8551", "1 + 8551 = 8552"], "key": "four-digit-8552-2♥8♥A♣5♣J♠2♣5♦6♠7♣"} {"id": "train-four-digit-0968", "level": "four-digit", "target": 7040, "cards": [{"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 1 + 8 * 11 * (9 * 11 - 13 - 6) - 2", "solution_steps": ["9 × 11 = 99", "99 − 13 = 86", "86 − 6 = 80", "11 × 80 = 880", "8 × 880 = 7040", "7040 − 2 = 7038", "1 + 7038 = 7039", "1 + 7039 = 7040"], "key": "four-digit-7040-J♠A♥A♣K♥J♥9♥8♠2♣6♠"} {"id": "train-four-digit-0969", "level": "four-digit", "target": 3110, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 3, "suit": "C", "label": "3♣"}], "solution": "1 + 3 + 4 * (12 + 8 * 8 * 12) - 11 - 3", "solution_steps": ["8 × 12 = 96", "8 × 96 = 768", "12 + 768 = 780", "4 × 780 = 3120", "3120 − 11 = 3109", "3109 − 3 = 3106", "3 + 3106 = 3109", "1 + 3109 = 3110"], "key": "four-digit-3110-8♣J♣A♠Q♦3♥4♠8♦Q♣3♣"} {"id": "train-four-digit-0970", "level": "four-digit", "target": 4542, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "D", "label": "J♦"}], "solution": "2 + 4 + 6 + 9 + 11 * (6 * 7 * 10 - 9)", "solution_steps": ["7 × 10 = 70", "6 × 70 = 420", "420 − 9 = 411", "11 × 411 = 4521", "9 + 4521 = 4530", "6 + 4530 = 4536", "4 + 4536 = 4540", "2 + 4540 = 4542"], "key": "four-digit-4542-9♠4♣7♣9♣6♠6♦2♦10♠J♦"} {"id": "train-four-digit-0971", "level": "four-digit", "target": 5558, "cards": [{"rank": 6, "suit": "S", "label": "6♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 2 + 5 + (9 + 6 * 11) * (10 + 8 * 8)", "solution_steps": ["6 × 11 = 66", "9 + 66 = 75", "8 × 8 = 64", "10 + 64 = 74", "75 × 74 = 5550", "5 + 5550 = 5555", "2 + 5555 = 5557", "1 + 5557 = 5558"], "key": "four-digit-5558-6♠5♦J♠8♥2♠A♣9♠8♦10♣"} {"id": "train-four-digit-0972", "level": "four-digit", "target": 2974, "cards": [{"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "H", "label": "4♥"}], "solution": "1 + 4 + (11 + 13) * (12 / 4 + 11 * 11) - 7", "solution_steps": ["11 + 13 = 24", "12 ÷ 4 = 3", "11 × 11 = 121", "3 + 121 = 124", "24 × 124 = 2976", "2976 − 7 = 2969", "4 + 2969 = 2973", "1 + 2973 = 2974"], "key": "four-digit-2974-J♣A♦7♣Q♦J♠K♥J♦4♣4♥"} {"id": "train-four-digit-0973", "level": "four-digit", "target": 4513, "cards": [{"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 8, "suit": "D", "label": "8♦"}], "solution": "3 + 4 + 8 * 12 * (8 + 13 * (8 - 5)) - 6", "solution_steps": ["8 − 5 = 3", "13 × 3 = 39", "8 + 39 = 47", "12 × 47 = 564", "8 × 564 = 4512", "4512 − 6 = 4506", "4 + 4506 = 4510", "3 + 4510 = 4513"], "key": "four-digit-4513-3♥8♣K♦8♥4♣Q♥6♥5♥8♦"} {"id": "train-four-digit-0974", "level": "four-digit", "target": 3796, "cards": [{"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 13, "suit": "C", "label": "K♣"}], "solution": "2 + 4 + 6 + 8 * 11 * (10 * (13 - 8) - 7)", "solution_steps": ["13 − 8 = 5", "10 × 5 = 50", "50 − 7 = 43", "11 × 43 = 473", "8 × 473 = 3784", "6 + 3784 = 3790", "4 + 3790 = 3794", "2 + 3794 = 3796"], "key": "four-digit-3796-8♥10♣6♦7♣J♠8♠2♣4♠K♣"} {"id": "train-four-digit-0975", "level": "four-digit", "target": 9529, "cards": [{"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 2 + 4 + 9 * (5 + 13 * (8 * 11 - 7))", "solution_steps": ["8 × 11 = 88", "88 − 7 = 81", "13 × 81 = 1053", "5 + 1053 = 1058", "9 × 1058 = 9522", "4 + 9522 = 9526", "2 + 9526 = 9528", "1 + 9528 = 9529"], "key": "four-digit-9529-2♥4♥8♠9♦J♥A♥7♣5♦K♠"} {"id": "train-four-digit-0976", "level": "four-digit", "target": 5320, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "1 + 2 + 10 * (12 * (10 + 5 * 7) - 8) - 3", "solution_steps": ["5 × 7 = 35", "10 + 35 = 45", "12 × 45 = 540", "540 − 8 = 532", "10 × 532 = 5320", "5320 − 3 = 5317", "2 + 5317 = 5319", "1 + 5319 = 5320"], "key": "four-digit-5320-8♣7♦A♠2♣3♦5♥10♥10♦Q♣"} {"id": "train-four-digit-0977", "level": "four-digit", "target": 3025, "cards": [{"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 13, "suit": "H", "label": "K♥"}], "solution": "1 + 3 + 11 * (8 * (6 * 8 - 12) - 13) - 4", "solution_steps": ["6 × 8 = 48", "48 − 12 = 36", "8 × 36 = 288", "288 − 13 = 275", "11 × 275 = 3025", "3025 − 4 = 3021", "3 + 3021 = 3024", "1 + 3024 = 3025"], "key": "four-digit-3025-4♦A♠8♣Q♦8♥3♦6♣J♣K♥"} {"id": "train-four-digit-0978", "level": "four-digit", "target": 5558, "cards": [{"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 3 + 3 + 7 * 13 * (5 + 4 * (6 + 8))", "solution_steps": ["6 + 8 = 14", "4 × 14 = 56", "5 + 56 = 61", "13 × 61 = 793", "7 × 793 = 5551", "3 + 5551 = 5554", "3 + 5554 = 5557", "1 + 5557 = 5558"], "key": "four-digit-5558-6♦5♥7♦8♠3♥4♦A♠K♥3♠"} {"id": "train-four-digit-0979", "level": "four-digit", "target": 3734, "cards": [{"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "D", "label": "2♦"}], "solution": "2 + 5 + 7 + (11 + 13) * (11 * (6 + 9) - 10)", "solution_steps": ["11 + 13 = 24", "6 + 9 = 15", "11 × 15 = 165", "165 − 10 = 155", "24 × 155 = 3720", "7 + 3720 = 3727", "5 + 3727 = 3732", "2 + 3732 = 3734"], "key": "four-digit-3734-5♣7♠J♣10♥6♣9♠K♣J♥2♦"} {"id": "train-four-digit-0980", "level": "four-digit", "target": 5224, "cards": [{"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "1 + 4 + 9 + 10 + 4 * 13 * (8 * 13 - 4)", "solution_steps": ["8 × 13 = 104", "104 − 4 = 100", "13 × 100 = 1300", "4 × 1300 = 5200", "10 + 5200 = 5210", "9 + 5210 = 5219", "4 + 5219 = 5223", "1 + 5223 = 5224"], "key": "four-digit-5224-A♦10♥9♣4♥4♣4♦8♣K♥K♠"} {"id": "train-four-digit-0981", "level": "four-digit", "target": 8439, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "H", "label": "3♥"}], "solution": "1 + 2 + 3 * 4 * (1 + 6 * 9 * (5 + 8))", "solution_steps": ["5 + 8 = 13", "9 × 13 = 117", "6 × 117 = 702", "1 + 702 = 703", "4 × 703 = 2812", "3 × 2812 = 8436", "2 + 8436 = 8438", "1 + 8438 = 8439"], "key": "four-digit-8439-9♦8♦A♠6♥A♦2♦4♣5♥3♥"} {"id": "train-four-digit-0982", "level": "four-digit", "target": 8485, "cards": [{"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 3, "suit": "D", "label": "3♦"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 11, "suit": "S", "label": "J♠"}], "solution": "1 + 3 + (8 + 13) * (8 + 4 * 9 * 11) - 3", "solution_steps": ["8 + 13 = 21", "9 × 11 = 99", "4 × 99 = 396", "8 + 396 = 404", "21 × 404 = 8484", "8484 − 3 = 8481", "3 + 8481 = 8484", "1 + 8484 = 8485"], "key": "four-digit-8485-3♣8♣3♦K♣8♦4♣9♥A♥J♠"} {"id": "train-four-digit-0983", "level": "four-digit", "target": 3608, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 4, "suit": "C", "label": "4♣"}, {"rank": 6, "suit": "S", "label": "6♠"}], "solution": "1 + 2 + 5 + 4 * (4 + 7 * 8 * (6 + 10))", "solution_steps": ["6 + 10 = 16", "8 × 16 = 128", "7 × 128 = 896", "4 + 896 = 900", "4 × 900 = 3600", "5 + 3600 = 3605", "2 + 3605 = 3607", "1 + 3607 = 3608"], "key": "four-digit-3608-4♠10♥8♥5♥A♦2♣7♥4♣6♠"} {"id": "train-four-digit-0984", "level": "four-digit", "target": 5319, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 8, "suit": "D", "label": "8♦"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 10, "suit": "D", "label": "10♦"}], "solution": "2 + (3 * 10 - 3) * (5 + 4 * 6 * 8) - 2", "solution_steps": ["3 × 10 = 30", "30 − 3 = 27", "6 × 8 = 48", "4 × 48 = 192", "5 + 192 = 197", "27 × 197 = 5319", "5319 − 2 = 5317", "2 + 5317 = 5319"], "key": "four-digit-5319-2♦8♦6♣2♥5♥4♥3♥3♣10♦"} {"id": "train-four-digit-0985", "level": "four-digit", "target": 7168, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 4, "suit": "D", "label": "4♦"}], "solution": "2 + (4 + 7 * 9) * (8 + 11 * (4 + 5)) - 3", "solution_steps": ["7 × 9 = 63", "4 + 63 = 67", "4 + 5 = 9", "11 × 9 = 99", "8 + 99 = 107", "67 × 107 = 7169", "7169 − 3 = 7166", "2 + 7166 = 7168"], "key": "four-digit-7168-4♠J♣7♠3♠8♥2♣5♠9♠4♦"} {"id": "train-four-digit-0986", "level": "four-digit", "target": 3652, "cards": [{"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 10, "suit": "D", "label": "10♦"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 1, "suit": "C", "label": "A♣"}], "solution": "1 + 3 + 11 * (12 + 10 * (6 * 7 - 10)) - 4", "solution_steps": ["6 × 7 = 42", "42 − 10 = 32", "10 × 32 = 320", "12 + 320 = 332", "11 × 332 = 3652", "3652 − 4 = 3648", "3 + 3648 = 3651", "1 + 3651 = 3652"], "key": "four-digit-3652-4♠J♥10♦10♥7♠Q♠6♣3♣A♣"} {"id": "train-four-digit-0987", "level": "four-digit", "target": 9961, "cards": [{"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 10, "suit": "C", "label": "10♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 10, "suit": "S", "label": "10♠"}], "solution": "1 + 3 * 10 * (10 + (11 + 12) * (11 + 12 - 9))", "solution_steps": ["11 + 12 = 23", "11 + 12 = 23", "23 − 9 = 14", "23 × 14 = 322", "10 + 322 = 332", "10 × 332 = 3320", "3 × 3320 = 9960", "1 + 9960 = 9961"], "key": "four-digit-9961-9♦10♣3♣J♥Q♣Q♥A♦J♣10♠"} {"id": "train-four-digit-0988", "level": "four-digit", "target": 6031, "cards": [{"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 1, "suit": "H", "label": "A♥"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 10, "suit": "C", "label": "10♣"}], "solution": "1 + 2 + 4 * (10 * (9 + 11 * 13) - 7 - 6)", "solution_steps": ["11 × 13 = 143", "9 + 143 = 152", "10 × 152 = 1520", "1520 − 7 = 1513", "1513 − 6 = 1507", "4 × 1507 = 6028", "2 + 6028 = 6030", "1 + 6030 = 6031"], "key": "four-digit-6031-7♣6♣9♥J♦2♣K♣A♥4♦10♣"} {"id": "train-four-digit-0989", "level": "four-digit", "target": 5046, "cards": [{"rank": 2, "suit": "C", "label": "2♣"}, {"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 3, "suit": "H", "label": "3♥"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 5, "suit": "H", "label": "5♥"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 4 + 3 * 3 * 5 * (3 * 3 * 13 - 5)", "solution_steps": ["3 × 13 = 39", "3 × 39 = 117", "117 − 5 = 112", "5 × 112 = 560", "3 × 560 = 1680", "3 × 1680 = 5040", "4 + 5040 = 5044", "2 + 5044 = 5046"], "key": "four-digit-5046-2♣3♠3♣4♥5♣3♥K♦5♥3♦"} {"id": "train-four-digit-0990", "level": "four-digit", "target": 3475, "cards": [{"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 4, "suit": "C", "label": "4♣"}], "solution": "1 + 3 + 5 * (5 * 13 + 7 * 9 * 10) - 4", "solution_steps": ["5 × 13 = 65", "9 × 10 = 90", "7 × 90 = 630", "65 + 630 = 695", "5 × 695 = 3475", "3475 − 4 = 3471", "3 + 3471 = 3474", "1 + 3474 = 3475"], "key": "four-digit-3475-A♣10♥5♦K♥5♠9♦7♠3♣4♣"} {"id": "train-four-digit-0991", "level": "four-digit", "target": 8900, "cards": [{"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 1, "suit": "C", "label": "A♣"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 8, "suit": "C", "label": "8♣"}], "solution": "1 + 4 * (2 + 13 * (2 * 8 * 11 - 5)) - 1", "solution_steps": ["8 × 11 = 88", "2 × 88 = 176", "176 − 5 = 171", "13 × 171 = 2223", "2 + 2223 = 2225", "4 × 2225 = 8900", "8900 − 1 = 8899", "1 + 8899 = 8900"], "key": "four-digit-8900-A♠4♥J♣2♠A♣K♥2♦5♦8♣"} {"id": "train-four-digit-0992", "level": "four-digit", "target": 7200, "cards": [{"rank": 3, "suit": "S", "label": "3♠"}, {"rank": 11, "suit": "C", "label": "J♣"}, {"rank": 12, "suit": "C", "label": "Q♣"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 7, "suit": "H", "label": "7♥"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 10, "suit": "H", "label": "10♥"}], "solution": "1 + 3 + 7 * (10 + 11 + 7 * 12 * 12) - 7", "solution_steps": ["12 × 12 = 144", "7 × 144 = 1008", "11 + 1008 = 1019", "10 + 1019 = 1029", "7 × 1029 = 7203", "7203 − 7 = 7196", "3 + 7196 = 7199", "1 + 7199 = 7200"], "key": "four-digit-7200-3♠J♣Q♣7♠7♥A♠7♦Q♥10♥"} {"id": "train-four-digit-0993", "level": "four-digit", "target": 9983, "cards": [{"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 12, "suit": "D", "label": "Q♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 7, "suit": "D", "label": "7♦"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 2, "suit": "S", "label": "2♠"}, {"rank": 13, "suit": "S", "label": "K♠"}], "solution": "2 + 6 + 7 * (12 * 13 + 9 * (11 + 10 * 13))", "solution_steps": ["12 × 13 = 156", "10 × 13 = 130", "11 + 130 = 141", "9 × 141 = 1269", "156 + 1269 = 1425", "7 × 1425 = 9975", "6 + 9975 = 9981", "2 + 9981 = 9983"], "key": "four-digit-9983-10♠Q♦K♦J♠7♦9♦6♥2♠K♠"} {"id": "train-four-digit-0994", "level": "four-digit", "target": 1551, "cards": [{"rank": 2, "suit": "D", "label": "2♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 8, "suit": "H", "label": "8♥"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 3, "suit": "C", "label": "3♣"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 3, "suit": "D", "label": "3♦"}], "solution": "2 + 3 + 3 + 7 + 8 * 8 * (5 + 6 + 13)", "solution_steps": ["6 + 13 = 19", "5 + 19 = 24", "8 × 24 = 192", "8 × 192 = 1536", "7 + 1536 = 1543", "3 + 1543 = 1546", "3 + 1546 = 1549", "2 + 1549 = 1551"], "key": "four-digit-1551-2♦K♦6♥5♠8♥7♣3♣8♠3♦"} {"id": "train-four-digit-0995", "level": "four-digit", "target": 6275, "cards": [{"rank": 8, "suit": "C", "label": "8♣"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "H", "label": "4♥"}, {"rank": 11, "suit": "S", "label": "J♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 7, "suit": "C", "label": "7♣"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 8, "suit": "H", "label": "8♥"}], "solution": "4 + 5 + 7 * (5 + 11) * (8 + 6 * 8) - 6", "solution_steps": ["5 + 11 = 16", "6 × 8 = 48", "8 + 48 = 56", "16 × 56 = 896", "7 × 896 = 6272", "6272 − 6 = 6266", "5 + 6266 = 6271", "4 + 6271 = 6275"], "key": "four-digit-6275-8♣5♣5♠4♥J♠6♦7♣6♥8♥"} {"id": "train-four-digit-0996", "level": "four-digit", "target": 9156, "cards": [{"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 7, "suit": "S", "label": "7♠"}, {"rank": 5, "suit": "D", "label": "5♦"}, {"rank": 1, "suit": "D", "label": "A♦"}, {"rank": 11, "suit": "H", "label": "J♥"}, {"rank": 2, "suit": "H", "label": "2♥"}, {"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 3, "suit": "S", "label": "3♠"}], "solution": "1 + 2 + 9 * (7 * (6 + 10 * (3 + 11)) - 5)", "solution_steps": ["3 + 11 = 14", "10 × 14 = 140", "6 + 140 = 146", "7 × 146 = 1022", "1022 − 5 = 1017", "9 × 1017 = 9153", "2 + 9153 = 9155", "1 + 9155 = 9156"], "key": "four-digit-9156-10♥7♠5♦A♦J♥2♥9♠6♦3♠"} {"id": "train-four-digit-0997", "level": "four-digit", "target": 2926, "cards": [{"rank": 9, "suit": "S", "label": "9♠"}, {"rank": 10, "suit": "S", "label": "10♠"}, {"rank": 11, "suit": "D", "label": "J♦"}, {"rank": 4, "suit": "D", "label": "4♦"}, {"rank": 12, "suit": "S", "label": "Q♠"}, {"rank": 13, "suit": "H", "label": "K♥"}, {"rank": 9, "suit": "D", "label": "9♦"}, {"rank": 6, "suit": "H", "label": "6♥"}, {"rank": 6, "suit": "D", "label": "6♦"}], "solution": "4 + 6 + 6 + (9 + 9 + 12) * (10 * 11 - 13)", "solution_steps": ["9 + 12 = 21", "9 + 21 = 30", "10 × 11 = 110", "110 − 13 = 97", "30 × 97 = 2910", "6 + 2910 = 2916", "6 + 2916 = 2922", "4 + 2922 = 2926"], "key": "four-digit-2926-9♠10♠J♦4♦Q♠K♥9♦6♥6♦"} {"id": "train-four-digit-0998", "level": "four-digit", "target": 1276, "cards": [{"rank": 5, "suit": "S", "label": "5♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 12, "suit": "H", "label": "Q♥"}, {"rank": 13, "suit": "C", "label": "K♣"}, {"rank": 13, "suit": "S", "label": "K♠"}, {"rank": 1, "suit": "S", "label": "A♠"}, {"rank": 5, "suit": "C", "label": "5♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 11, "suit": "H", "label": "J♥"}], "solution": "1 + 4 + 5 + 5 + 9 * 12 * 13 - 11 * 13", "solution_steps": ["12 × 13 = 156", "9 × 156 = 1404", "11 × 13 = 143", "1404 − 143 = 1261", "5 + 1261 = 1266", "5 + 1266 = 1271", "4 + 1271 = 1275", "1 + 1275 = 1276"], "key": "four-digit-1276-5♠4♠Q♥K♣K♠A♠5♣9♥J♥"} {"id": "train-four-digit-0999", "level": "four-digit", "target": 5204, "cards": [{"rank": 6, "suit": "C", "label": "6♣"}, {"rank": 9, "suit": "C", "label": "9♣"}, {"rank": 9, "suit": "H", "label": "9♥"}, {"rank": 10, "suit": "H", "label": "10♥"}, {"rank": 8, "suit": "S", "label": "8♠"}, {"rank": 4, "suit": "S", "label": "4♠"}, {"rank": 6, "suit": "D", "label": "6♦"}, {"rank": 13, "suit": "D", "label": "K♦"}, {"rank": 12, "suit": "C", "label": "Q♣"}], "solution": "4 + 6 + 10 + 8 * 9 * (6 + 12) * (13 - 9)", "solution_steps": ["6 + 12 = 18", "13 − 9 = 4", "18 × 4 = 72", "9 × 72 = 648", "8 × 648 = 5184", "10 + 5184 = 5194", "6 + 5194 = 5200", "4 + 5200 = 5204"], "key": "four-digit-5204-6♣9♣9♥10♥8♠4♠6♦K♦Q♣"}