env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Analyze these boolean expressions:
A. not ((((((12 * 3) < (2 * -15) < (-16 * 10)) or (Ice is a solid at room temperature.)) and ((12 * -10) == (39 % 10))) and (not (((-5 * -8 + 9 * -4) < (5 * 4) < (10 % 3)) or (A swan is a bird.)))) or (((3 - -4) != (-20 - -5)) and ((7 * 2 * -6 * -10) >= (0 * -5 + 0 * 8))))
B. ((((9 -... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 1822780,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not ((((((12 * 3) < (2 * -15) < (-16 ... |
logic-v2 | Study the following logical statements:
A. (((-6 * 7 - 10 * -7) == (10 * 7 - -9 * -4)) and (not (not not ((44 % 6) == (19 + -13))))) or ((11 * -10) >= (14 - -19)) or (((((-13 + 9) <= (39 % 4) <= (12 + -8)) or ((1 ** 3) >= (-7 * -10 + 5 * -2))) or (The chemical symbol for Sulfur is Pb.)) or (not (not not (324 is a perf... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 69483021,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. (((-6 * 7 - 10 * -7) == (10 * 7... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((not not ((-10 * -17) <= (-8 + -13))) or (((8 * -2 + 10 * -7) == (5 - 9)) and ((8 * -3 - 5 * 7) > (-17 + -7))))
B. not (((银的化学符号是Fe。) and ((1 * -4 + 3 * -4) < (5 * 7 + 4 * 8) < (9 * -10 + 3 * 2))) or ((巴西位于南美洲。) or ((-11 * 5) == (37 % 3))))
C. ((-5 * -10 * -6 * -4) >= (13 + 12)) and (... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 64004542,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not ((not not ((-10 * -17) <= (-8 + -13))) or (((8 ... |
logic-v2 | 评估以下每个表达式：
A. not (((not ((1 % 5) < (5 ** 1))) and ((1948年奥运会在罗马举办。) and (泰坦尼克号沉没发生在1914年。))) or ((not ((11 % 1) != (47 % 4))) and (not (越南位于亚洲。))))
B. ((((1932年奥运会在首尔举办。) or (五月有28天。)) or (not not (油在常温下是液体。))) and (((9 * -14) <= (35 % 1)) and (((25 % 7) >= (-4 + 19)) or (罗马尼亚的首都是布鲁塞尔。)))) and ((((氢的化学符号是Mn。) and ((7... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 50297678,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not (((not ((1 % 5) < (5 ** 1))) and ((1948年奥运会在罗马举办。) and (泰坦尼克... |
logic-v2 | 评估以下每个表达式：
A. 铁的化学符号是K。
B. ((第二次世界大战开始发生在1940年。) or ((-3 * -4 + 10 * 6) < (23 % 3) < (-17 * -15))) or (not not ((37 % 3) >= (4 + -16)))
C. 西班牙位于欧洲。
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 93526566,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. 铁的化学符号是K。\nB. ((第二次世界大战开始发生在1940年。) or ((-3 * -4 + 10 * 6) < (23... |
logic-v2 | 评估以下每个表达式：
A. not (((((-3 - -1) != (-3 + -8)) or (英国位于欧洲。)) or (not not ((-11 - 10) != (-1 * -7 - -8 * -1)))) or (((-17 * -4) >= (-5 - -19)) and ((-10 - 17) == (8 * -9 - -10 * 4))) or (西班牙位于北美洲。))
B. not not (not (not ((11 - 11) < (-8 * -2 - -10 * -2))))
C. (((((-11 * -19) == (-6 + -11)) and (335是完全平方数。)) or (((-4 * -... | {
"game_data": {
"answer": "C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 78897546,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not (((((-3 - -1) != (-3 + -8)) or (英国位于欧洲。)) or (not not ((... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((not not ((2 ** 2) >= (-2 * -4 * -5 * 4))) or (((2 ** 1) <= (-6 * -5 * 3 * -6) <= (-6 * -9 - 4 * -3)) or (The 2016 Olympics were held in Rio de Janeiro.)))
B. ((0 * -6) <= (33 % 6) <= (2 + 18)) and (((3 + 11) != (2 * 10 * -10 * -5)) or (The 1980 Olympics were ... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 87572868,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((not not ((2 ** 2... |
logic-v2 | 检验这些表达式：
A. not ((((not not (((-8 * 0 - -10 * 5) == (2 ** 2)) and ((15 - -2) > (-19 - 15)))) or (埃及的货币是比索。)) and (((南非位于亚洲。) or ((匈牙利的首都是布达佩斯。) and (乌龟是爬行动物。))) or ((not (1972年奥运会在慕尼黑举办。)) or ((金在常温下是气体。) or (地球是距离太阳第3近的行星。))))) and (((泰坦尼克号沉没发生在1912年。) and (((2 - 6) > (5 ** 2)) or ((46是奇数。) and ((5 - -6) <= (2 ** 3) ... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 5447295,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not ((((not not (((-8 * 0 - -10 * 5) == (2 ** 2)) and ((15 - -2... |
logic-v2 | 分析以下逻辑表达式：
A. (not (not not (((((4 ** 3) <= (2 ** 2)) and (鳕鱼是鱼类。)) and ((14 - -19) < (-10 * 8 - 6 * 3))) or (第一部iPhone发布发生在2007年。)))) and (not not (((not ((-2 * 9 + -5 * 1) != (15 * -10))) or (not not (南极洲是最冷的大陆。))) and (not ((((5 ** 3) >= (7 + 2)) or (火星是距离太阳第6近的行星。)) and ((1928年是闰年。) and ((7 + -11) >= (-8 * 6 - -5 ... | {
"game_data": {
"answer": "B,C,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 37902949,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. (not (not not (((((4 ** 3) <= (2 ** 2)) and (鳕鱼是鱼类。)) and ... |
logic-v2 | Study the following logical statements:
A. ((41 % 6) < (-12 - -5) < (16 + -12)) or (not not ((Oil is a liquid at room temperature.) or (Peru is in Oceania.)))
B. not (not not (Saturn is the 7th planet from the Sun.))
C. not ((The capital of Cuba is Brasilia.) or ((The 1920 Olympics were held in Rio de Janeiro.) and (T... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 11456580,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. ((41 % 6) < (-12 - -5) < (16 + -1... |
logic-v2 | 审视以下逻辑表达式：
A. (-20 * 18) == (9 - 11)
B. not not ((钠的化学符号是Na。) or (丹麦的货币是欧元。))
C. (44 % 5) > (7 - -19)
D. ((木头在常温下是固体。) and (光速约为每秒30万公里。)) and (中国的货币是人民币。)
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 24010302,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (-20 * 18) == (9 - 11)\nB. not not ((钠的化学符号是Na。) or (丹麦的货币是欧元。))... |
logic-v2 | 给定以下布尔表达式：
A. (9 * 19) < (-9 * -3)
B. not (金的化学符号是Au。)
C. 1924年奥运会在洛杉矶举办。
D. 汞的化学符号是Mn。
E. 土耳其的货币是里拉。
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔的形式给出答案。 | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 85164469,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (9 * 19) < (-9 * -3)\nB. not (金的化学符号是Au。)\nC. 1924年奥运会在洛杉矶举办。\nD. ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (Humans only use 10% of their brain.)
B. not not ((12 - 4) < (-7 * 16) < (-8 * -2))
C. not not (((8 * -6 + -6 * 7) > (-3 * -17)) and (((1 % 3) < (-2 + 14)) and (21 is divisible by 4.)))
D. not ((7 * 0) < (7 + -13))
E. (not not ((A... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 86828532,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Consider the following logical expressions:
A. (The 2024 Olympics were held in Paris.) and ((The capital of Spain is Madrid.) and ((-19 * 10) >= (0 * 7 + -3 * -8)))
B. The capital of Austria is Vienna.
C. (3 * -6 - -9 * 4) == (2 ** 3)
D. (7 * 9 * -4 * 7) <= (5 + 20)
E. The currency of Canada is the Dollar.
Determine ... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 90393086,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (The 2024 Olympics were held ... |
logic-v2 | 下面是几个布尔表达式：
A. not (((49 % 10) >= (1 ** 3)) or ((4 % 10) != (-10 * 1 * 10 * -5)))
B. not ((43 % 6) != (18 * -3))
C. (13能被2整除。) and ((3 + 7) == (4 * -8 + -7 * -7))
D. (not not ((5 ** 1) < (16 + 9))) and (25的平方根是5。)
E. not not ((韩国位于南美洲。) and (蚂蚁是昆虫。))
F. not not ((-7 + -10) > (-18 + 1))
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 17479127,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not (((49 % 10) >= (1 ** 3)) or ((4 % 10) != (-10 * 1 * 10 * -5))... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (not not (美国宣布独立发生在1776年。))
B. (中国的货币是埃及镑。) or ((4 + 19) != (7 + 4))
C. not not ((not not ((-10 * 19) < (12 - 7))) and (((-19 + 17) >= (7 * 3 + -1 * -2)) or (火星是距离太阳最近的行星。)))
D. not not (2000年是闰年。)
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 71838811,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (not not (美国宣布独立发生在1776年。))\nB. (中国的货币是埃及镑。) or ... |
logic-v2 | 检验这些表达式：
A. not ((5 * -1 * -10 * -1) <= (1 ** 3))
B. (not not (((-4 + -15) != (14 % 9)) or (50大于19。))) or ((85是质数。) and (not not ((-7 * 3 * -9 * 3) == (17 + -5))))
C. (((2000年奥运会在巴黎举办。) and (金星是距离太阳第2近的行星。)) or ((鲤鱼是鱼类。) and (第二次世界大战结束发生在1945年。))) and ((50 % 2) != (11 * -4))
D. not ((1992年奥运会在巴塞罗那举办。) and ((蛇有0条腿。) or... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 3896822,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not ((5 * -1 * -10 * -1) <= (1 ** 3))\nB. (not not (((-4 + -15) !... |
logic-v2 | Examine these expressions:
A. not ((The capital of Ireland is Cairo.) or (A fly is a bird.))
B. not ((The chemical symbol for Copper is He.) or ((7 * 10 - -5 * 8) <= (9 % 10)))
C. The square root of 49 is 7.
D. not not (not not (The chemical symbol for Neon is Fe.))
E. not ((Ice is less dense than liquid water.) and (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 62562002,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not ((The capital of Ireland is Cairo.) or (A ... |
logic-v2 | Evaluate each expression below:
A. The capital of Hungary is Copenhagen.
B. not not (not not ((7 * -8 * -3 * 5) >= (-8 * -5 * 5 * -8)))
C. not (((-6 * -14) <= (-2 - 20)) and (Mercury is the 5th planet from the Sun.))
D. (The capital of France is Paris.) or ((-9 - -19) < (19 * 2))
List all options that evaluate to Tru... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 80703701,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. The capital of Hungary is Copenhagen.\nB.... |
logic-v2 | Evaluate each expression below:
A. (not not (((2047 is a leap year.) and (South Korea is in Asia.)) and ((1967 is a leap year.) and ((15 + -17) > (7 * -3 * -6 * -6))))) and (((-3 - 2) == (5 ** 3)) or ((((15 - -14) < (3 ** 1)) and (Venus is the 2nd planet from the Sun.)) and (not not (A flamingo is a bird.))))
B. (not ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 27079492,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (not not (((2047 is a leap year.) and (Sout... |
logic-v2 | 下面是几个布尔表达式：
A. (八月有31天。) and (((38 % 4) <= (16 + -10)) and ((10 * 18) < (14 * 2)))
B. (-1 * 11) > (0 + 5)
C. 意大利位于欧洲。
D. not ((18 - 1) <= (3 ** 3))
E. ((4 ** 2) != (-20 - -1)) and ((96小于等于93。) and ((14 + -1) == (-16 * 4)))
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 6672841,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (八月有31天。) and (((38 % 4) <= (16 + -10)) and ((10 * 18) < (14 * 2))... |
logic-v2 | Study the following logical statements:
A. (not not (((-8 + -19) == (-6 + -10)) and ((5 ** 1) == (14 + -9)))) or (((The capital of South Korea is Copenhagen.) and ((19 % 1) < (5 * 4 * -6 * 0))) or (not (A pig has 4 legs.)))
B. ((32 % 7) < (3 * -1 * -9 * -8)) or (((6 + -7) >= (17 * 14)) and ((Neptune is the 6th planet ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 45263592,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not not (((-8 + -19) == (-6 + -10)) ... |
logic-v2 | 审视以下逻辑表达式：
A. not not ((((((11 + 4) != (-11 * 3)) and (钻石由碳元素组成。)) or (墨西哥位于欧洲。)) and ((not not ((-12 + 8) > (-3 - -17))) and ((1912年奥运会在北京举办。) and (1976年奥运会在巴黎举办。)))) and (not not (((3 * -3 + 5 * 8) <= (-6 * -10 - 4 * 4)) and ((-16 * -17) != (4 + 4)))) and ((not ((金枪鱼是鱼类。) and ((-16 - -19) < (3 % 6)))) or (((1920年奥运会... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 49959864,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not not ((((((11 + 4) != (-11 * 3)) and (钻石由碳元素组成。)) or (墨西哥位于欧洲。)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((1964年奥运会在东京举办。) and ((-11 - -18) < (-2 * 3))) and (((3 * -2 - -1 * 6) <= (2 ** 1)) and ((-3 * -8 * -7 * 1) <= (16 * 17)))) and (not (not ((-15 - 8) == (-10 * 3))))) and (not not (俄罗斯的首都是布达佩斯。))
B. (not ((not not (铀的化学符号是P。)) and ((-1 * 15) > (-6 + 3)))) or (not not ((10 - 7) != (-5 * 0 * 4 * -6... | {
"game_data": {
"answer": "B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 16442507,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((1964年奥运会在东京举办。) and ((-11 - -18) < (-2 * 3))) and ((... |
logic-v2 | Analyze these boolean expressions:
A. (1 + -5) == (16 - -6)
B. The currency of South Korea is the Won.
C. The 1956 Olympics were held in Melbourne.
D. (3 ** 2) != (1 - -16)
E. not not ((-1 * -9 * 10 * -3) < (1 ** 2))
F. (The 1972 Olympics were held in Munich.) or (not ((18 - 7) <= (4 * -7 - 1 * 6)))
Which of these ev... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 83936749,
"true_count": 5
},
"question": "Analyze these boolean expressions:\n\nA. (1 + -5) == (16 - -6)\nB. The curr... |
logic-v2 | Study the following logical statements:
A. not not (not (((14 * 3) != (27 % 2)) and ((-7 + 20) <= (10 - 6))))
B. not ((not not (A chicken is a bird.)) or (The capital of Argentina is Hanoi.))
C. ((The 2004 Olympics were held in Athens.) and (((20 + -19) <= (-16 + -6)) and (The chemical symbol for Silicon is Ne.))) or ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 26563483,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. not not (not (((14 * 3) != (27 % 2)) ... |
logic-v2 | Below are several boolean expressions:
A. There are 31 days in July.
B. (not (The currency of Sweden is the Riyal.)) and (((17 - 3) >= (-9 + -1)) and (There are 30 days in September.))
C. The 1912 Olympics were held in Stockholm.
D. not not ((Venus is the 8th planet from the Sun.) or (The 1968 Olympics were held in Pa... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 35568576,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. There are 31 days in July.\nB.... |
logic-v2 | 分析以下逻辑表达式：
A. (((((2 - 17) == (-14 * 9)) and (六月有30天。)) or (((-14 + 4) < (-17 - 3) < (4 ** 3)) or ((4 ** 2) < (2 * -2 + -9 * 2)))) or ((1 ** 3) == (1 ** 1)) or (变色龙是爬行动物。)) or (not not ((not ((42 % 9) != (-1 * -12))) and (((19 - 5) != (8 + 1)) and (十月有28天。))))
B. (not not ((not (90能被4整除。)) and (not not ((-11 * -6) < (... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 29877573,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (((((2 - 17) == (-14 * 9)) and (六月有30天。)) or (((-14 + 4) < (-17 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not (((((Alcohol is a solid at room temperature.) and (A butterfly has 8 legs.)) or (Diamonds are made of carbon.)) and ((not not ((-19 + 20) <= (20 - 0))) or (((10 * 2 - 8 * 7) < (-16 + 13) < (-7 * 3)) and ((0 - -20) != (-20 - -6)))... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 53884245,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Examine these expressions:
A. not not (not ((((Saturn is the 6th planet from the Sun.) or ((The 1896 Olympics were held in London.) or (The capital of Romania is Vienna.))) or ((The capital of Australia is Canberra.) or (Jupiter is the 5th planet from the Sun.)) or ((((5 * 5) > (8 + -8)) or (Mars is the 4th planet fro... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 46869387,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not not (not ((((Saturn is the 6th planet from the... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not (not ((4 * -17) > (3 ** 3))))) or (not ((not (Alcohol is a liquid at room temperature.)) and (((not ((34 % 10) <= (5 * -4))) or ((-7 * -3 + 8 * -2) != (4 + 16))) and (The capital of Hungary is Budapest.) and (Diamond is a solid at room temperature.))))
B. not (not no... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 46920959,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not (not ((4 * -17) > (3 ** 3)... |
logic-v2 | Review these logical expressions:
A. Morocco is in Africa.
B. (2 ** 3) != (5 ** 1)
C. not not (((1 * 12) == (4 * 3 * -9 * -10)) or (Kenya is in Africa.))
Which expressions are true? Answer with comma-separated labels in \boxed{}. | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 63267456,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. Morocco is in Africa.\nB. (2 ** 3) != (... |
logic-v2 | Below are several boolean expressions:
A. ((not (Mercury is a liquid at room temperature.)) or (not not ((((5 * -10 * -10 * 9) > (-5 + -10)) or (Jupiter is the 4th planet from the Sun.)) or (((-6 - 8) != (2 ** 2)) or (2027 is a leap year.))))) or (not (((-5 * 6 - 5 * 9) == (14 + 19)) or (2007 is a leap year.)))
B. ((n... | {
"game_data": {
"answer": "A,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 34265637,
"true_count": 6
},
"question": "Below are several boolean expressions:\n\nA. ((not (Mercury is a liquid a... |
logic-v2 | 下面是几个布尔表达式：
A. not (not not (((((-3 * -4) < (2 ** 3)) or (1896年奥运会在慕尼黑举办。)) or (not not ((-5 * -3 - 5 * 0) <= (-9 + 3)))) and ((1948年奥运会在伦敦举办。) and ((-2 - 3) <= (1 ** 2)) and ((((-12 * -12) < (-2 - 19)) or ((2 ** 1) > (0 + -14))) and ((钻石由碳元素组成。) or (蜘蛛是昆虫。))))))
B. not not ((((南极洲是最冷的大陆。) and (((罗马尼亚的首都是马德里。) and (光速... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 59555746,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not (not not (((((-3 * -4) < (2 ** 3)) or (1896年奥运会在慕尼黑举办。)... |
logic-v2 | Evaluate each expression below:
A. (not (not not (not not ((-3 - -2) <= (30 % 4))))) or (not not ((((45 % 5) < (9 * 10 + -8 * 9)) and (not not (Oil is a liquid at room temperature.)) and (not not ((The currency of Thailand is the Baht.) or (There are 31 days in October.)))) and (not ((-11 + 20) < (6 * 10 * -5 * -3) < ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 29901289,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. (not (not not (not not ((-3 - -2) <= ... |
logic-v2 | 研究以下逻辑语句：
A. (not not (not not (not not (1978年是闰年。)))) or (((not not (((人类首次登月发生在1964年。) or (秘鲁位于南美洲。)) and ((1948年奥运会在首尔举办。) and (钻石由碳元素组成。)))) or ((89是质数。) and (not ((-10 * -4) >= (10 % 5))) and (九月有29天。))) and ((((木头在常温下是固体。) and ((1920年奥运会在安特卫普举办。) or (瓢虫是鸟类。))) or (澳大利亚的货币是澳元。)) and (not not (银在常温下是固体。))))
B. not... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 23179548,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. (not not (not not (not not (1978年是闰年。)))) or (((not not (((人类首次... |
logic-v2 | Review these logical expressions:
A. not (not not (((The capital of Denmark is Copenhagen.) and ((((-9 - -7) > (-10 + 4)) or (Jupiter is the 5th planet from the Sun.)) or (not ((-3 * 9 * 3 * -1) > (-4 * 7 + -1 * -1))))) and ((((1 ** 2) >= (4 - -2)) and (not ((0 * 0 * -1 * -6) >= (16 * -9)))) and ((not ((16 + 12) != (-... | {
"game_data": {
"answer": "A,B,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 86555144,
"true_count": 6
},
"question": "Review these logical expressions:\n\nA. not (not not (((The capital of De... |
logic-v2 | Analyze these boolean expressions:
A. The human body has 206 bones.
B. (not not ((4 + 16) < (-1 * 17))) and (Japan is in Asia.)
C. (((-19 * -2) <= (2 * 2) <= (-5 * 7 * 4 * -5)) and (Steam is a solid at room temperature.)) or ((The capital of Poland is Warsaw.) and ((4 ** 3) != (2 * 4 - -8 * -3)))
Which of these evalu... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 69205387,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. The human body has 206 bones.\nB. (not n... |
logic-v2 | Given the following boolean expressions:
A. (not ((Antarctica is the coldest continent.) and ((not not (Canada is in North America.)) and (Earth is the 3rd planet from the Sun.)))) and (not ((((The Moon orbits the Earth.) and ((7 * -7 * -9 * -2) >= (-4 * 3 + -2 * -10))) or (not not (The chemical symbol for Silver is C... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 11577844,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (not ((Antarctica is the coldest c... |
logic-v2 | 审视以下逻辑表达式：
A. not (not not (not not (光速约为每秒30万公里。)))
B. not ((((光速约为每秒30万公里。) and ((五月有31天。) or ((1 ** 2) != (-6 + 19)))) and ((铁在常温下是固体。) and (1983年是闰年。))) or ((((12 - 20) >= (-1 * 4 - 10 * 7)) or (空气在常温下是固体。)) and ((鸭子是鸟类。) and ((-11 - -5) <= (1 ** 3) <= (-18 - 17)))) or (((not (阿根廷的货币是比索。)) and (not (木头在常温下是气体。))) ... | {
"game_data": {
"answer": "C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 56966571,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. not (not not (not not (光速约为每秒30万公里。)))\nB. not ((((光速约为每秒30万公里... |
logic-v2 | Study the following logical statements:
A. (((not (not (The capital of Cuba is Cairo.))) or ((2 * -10 - 6 * 8) != (-3 * 14))) or (not not (not not (The 1980 Olympics were held in Mexico City.)))) and ((((0 * -5 - 2 * -1) < (7 * 19)) or (((Earth is the 1st planet from the Sun.) or ((-3 * 0) > (5 ** 1))) or ((Alcohol is... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 15651937,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (((not (not (The capital of Cuba is... |
logic-v2 | 审视以下逻辑表达式：
A. ((((-2 + 3) <= (-7 * 3 + -1 * 3)) and (not (氧气在常温下是液体。))) or ((((2043年是闰年。) and (1976年奥运会在蒙特利尔举办。)) or ((马有100条腿。) or (铜的化学符号是Cu。))) and ((-6 * -13) == (4 * -9 + -5 * -10)))) or ((((not not ((-3 * -18) != (9 + 20))) or (((19 + 16) < (3 - -16)) and (加拿大的首都是渥太华。))) or (not (not (第一次世界大战开始发生在1912年。)))) and ... | {
"game_data": {
"answer": "C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 81380990,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((((-2 + 3) <= (-7 * 3 + -1 * 3)) and (not (氧气在常温下是液体。))) or (... |
logic-v2 | Examine these expressions:
A. The Earth revolves around the Sun.
B. not not (((((A chicken has 2 legs.) or (A bird has 10 legs.)) and (((2 - -12) == (8 * 8 + 1 * 8)) or ((3 - 16) == (-6 * -3 * 3 * -9)))) and (not not (((-4 * -10 - 3 * -7) >= (5 * 10)) and ((-3 * -13) < (6 - -8) < (-8 * -5 - 7 * -10))))) and (((-9 * -6... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 60009418,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. The Earth revolves around the Sun.\nB. not not (((... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((The 1896 Olympics were held in Athens.) and (not (not ((-13 * -17) <= (-9 + -8))))) or (not not ((1 ** 3) == (-18 * -2))) or (((((-9 - 0) < (-4 * -20)) or ((-8 * 2 + 9 * -5) < (12 - -1) < (6 % 5))) and (Indonesia is in South America.)) and (Earth is the 8th planet f... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 34082360,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((The 1896 Olympics were he... |
logic-v2 | 评估以下每个表达式：
A. ((((((0 + 20) == (-13 * 0)) and (第二次世界大战结束发生在1947年。)) or ((南极洲是最冷的大陆。) or ((0 * 9 - 5 * -2) <= (0 * 16) <= (-1 * 3 * -5 * 2)))) or ((not not (牛有0条腿。)) and (((1 + 12) == (5 * 5 - -8 * -6)) or ((-6 * -9 - -8 * -3) <= (3 ** 3) <= (-9 + 0))))) and (not (((377是完全平方数。) and ((-1 * -18) != (-6 * 7 - -9 * -7))) o... | {
"game_data": {
"answer": "B,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 75254788,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. ((((((0 + 20) == (-13 * 0)) and (第二次世界大战结束发生在1947年。)) or ((南... |
logic-v2 | 考虑以下布尔表达式：
A. not not (not not ((not not (64是质数。)) and ((((3 * 11) > (-15 + -5)) and (not not (蜘蛛是昆虫。))) and (not (埃及的首都是开罗。)) and ((not not ((15 * 16) < (-5 * -8 * -7 * 9))) or ((月球绕地球运转。) or (智利的首都是圣地亚哥。))))))
B. not not ((not not (((-17 - 10) <= (-11 * 14) <= (-14 + 19)) and (((-14 * -2) >= (-17 - -3)) and (not ((1... | {
"game_data": {
"answer": "C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 32129333,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not not (not not ((not not (64是质数。)) and ((((3 * 11) > (-15 + ... |
logic-v2 | Consider the following logical expressions:
A. ((((-11 * -7) < (2 * -6)) or (Indonesia is in Europe.)) and (not not (The chemical symbol for Sulfur is Mg.)) and ((The 1928 Olympics were held in Atlanta.) and ((((-9 * 8 * 7 * -10) != (17 % 1)) or ((4 + 15) == (17 * -3))) or (not (The currency of Switzerland is the Fran... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 87020881,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. ((((-11 * -7) < (2 * -6)) or (Ind... |
logic-v2 | 评估以下每个表达式：
A. (not ((((20 + 1) > (-7 * -7 - -3 * 6)) or ((-4 - -7) != (4 ** 1)) or ((((19 % 9) == (18 * -4)) and (1931年是闰年。)) and (美国宣布独立发生在1776年。))) or (not not (not (((12 - -7) <= (4 ** 1) <= (-18 - -6)) or (1956年奥运会在巴黎举办。)))))) and ((not (((-5 - 10) != (50 % 3)) and (中国长城是在一年内建成的。))) and ((not (not not (磷的化学符号是Pt。)... | {
"game_data": {
"answer": "B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 32841659,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not ((((20 + 1) > (-7 * -7 - -3 * 6)) or ((-4 - -7) != (4 ** ... |
logic-v2 | Review these logical expressions:
A. not (not not ((((-12 + 7) < (-1 + 14)) or (not (((-17 + -1) == (0 - 20)) or (Helium is a solid at room temperature.)))) and (((The capital of Mexico is Kyiv.) or (not not (Mercury is the 1st planet from the Sun.))) or (The Great Wall of China was built in one year.))))
B. not not (... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 82705831,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not (not not ((((-12 + 7) < (-1 + 14)... |
logic-v2 | 评估以下每个表达式：
A. (not ((not not (((镍的化学符号是Cu。) or ((2 ** 3) <= (50 % 3))) and (not ((11 - 14) != (-3 * 9 - 1 * 8))))) and (((not not ((18 * -2) != (-19 + -16))) or ((韩国位于亚洲。) and ((-4 * 2 - -1 * -3) <= (34 % 7) <= (1 * 15)))) or ((5 - -13) > (-15 * -3)) or ((((0 * 1 * 2 * -4) >= (-18 + 18)) and (1964年奥运会在东京举办。)) and (五月有... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 18662917,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (not ((not not (((镍的化学符号是Cu。) or ((2 ** 3) <= (50 % 3))) and (not ... |
logic-v2 | Study the following logical statements:
A. not (not ((((-5 - 5) < (4 ** 3)) or (not not (not (The chemical symbol for Sulfur is S.)))) or (not (not ((3 ** 1) != (8 * 1 * -1 * -5)))) or (((((12 + -11) < (7 * -9)) and ((42 % 3) < (44 % 6))) or (((8 * -5 + -3 * 1) < (40 % 4)) or (196 is a perfect square.))) and ((3 ** 3)... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 17207174,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not (not ((((-5 - 5) < (4 ** 3)) ... |
logic-v2 | Evaluate each expression below:
A. (not (((208 is a Fibonacci number.) and ((The 1960 Olympics were held in Berlin.) or (The chemical symbol for Neon is K.))) or ((-10 + -10) <= (10 * 7)))) and (not not (not (not not (((-10 * -10 * -5 * 1) < (-2 * -8 * 3 * 6)) or (There are 30 days in November.)))))
B. (not ((The curr... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 12226358,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (not (((208 is a Fibonacci number.) and ((T... |
logic-v2 | Review these logical expressions:
A. not (((2092 is a leap year.) or (A carp is a fish.)) and (not (2066 is a leap year.)))
B. ((((3 ** 2) > (8 - 9)) or ((2 + 20) < (2 * 0))) or (South Korea is in Asia.)) and ((not not (The capital of Italy is Rome.)) or (((6 - -6) == (-10 * -2 + 10 * -7)) and (Carbon dioxide is a sol... | {
"game_data": {
"answer": "B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 61377992,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not (((2092 is a leap year.) or (A ca... |
logic-v2 | 考虑以下布尔表达式：
A. ((not (韩国的首都是首尔。)) or (印度尼西亚的首都是曼谷。)) or ((菲律宾的首都是加拉加斯。) and (人体有206块骨头。)) or ((not (袋鼠是鸟类。)) and (not not ((32 % 8) < (-20 - -14))))
B. ((10 - -14) != (-8 + -9)) and ((哥伦比亚的首都是波哥大。) or (((-20 + -11) >= (38 % 6)) or ((-19 - 9) <= (8 * 3 * 7 * 9))))
C. not not (智利位于亚洲。)
D. ((not ((3 ** 1) <= (0 - 7))) or ... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 58875102,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((not (韩国的首都是首尔。)) or (印度尼西亚的首都是曼谷。)) or ((菲律宾的首都是加拉加斯。) and (... |
logic-v2 | 检验这些表达式：
A. (((not ((法国大革命开始发生在1789年。) or ((-5 - 0) == (-8 * 2 - -4 * 9)))) or (not not (1980年奥运会在首尔举办。)) or (氮的化学符号是N。)) and (not (not not (1920年奥运会在安特卫普举办。))) and (((-11 - -3) != (-4 + 19)) and (1964年奥运会在巴黎举办。))) and ((((21 % 7) >= (18 * -9)) and ((not not ((0 * 7 + -5 * 1) <= (-8 * -18))) and (not (月球自己发光。)))) and ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 42093270,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (((not ((法国大革命开始发生在1789年。) or ((-5 - 0) == (-8 * 2 - -4 * 9)))) or (... |
logic-v2 | Analyze these boolean expressions:
A. not ((There are 31 days in October.) or ((Neptune is the 8th planet from the Sun.) and (Indonesia is in North America.)))
B. (((Morocco is in South America.) or (Jupiter is the 3rd planet from the Sun.)) or (((13 * -3) < (37 % 10)) and (The Pacific Ocean is the largest ocean.))) a... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 89970826,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not ((There are 31 days in October.) or ... |
logic-v2 | Examine these expressions:
A. ((not (862 is a Fibonacci number.)) or ((not not (The chemical symbol for Sodium is Cl.)) and (not ((38 % 5) < (-20 + -14) < (3 ** 1))))) and ((The human body has 150 bones.) or (not not ((-3 + -12) > (4 - -1)))) and ((2008 is a leap year.) and ((not (The square root of 100 is 10.)) and (... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 89047983,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. ((not (862 is a Fibonacci number.)) or ((not n... |
logic-v2 | Given the following boolean expressions:
A. not not (not (((Spiders are insects.) or ((16 - 9) < (-2 * 6))) and ((The capital of Spain is Madrid.) or ((-7 * 13) >= (10 * 4 - -8 * -7)))))
B. not (((19 * 8) <= (0 * 12) <= (8 * 10 - 5 * -3)) or (World War II began occurred in 1939.))
C. (not not (not (((-6 * -8 - -4 * -3... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 64533161,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. not not (not (((Spiders are in... |
logic-v2 | Consider the following logical expressions:
A. (((-5 * -2 - 9 * 5) != (15 - 2)) and (((Mercury is the 4th planet from the Sun.) or (The currency of United States is the Zloty.)) or (((12 * -15) < (3 ** 2)) or ((1 * 11) == (-12 * -1))))) or (not (A crow is an insect.))
B. not not ((The currency of Nigeria is the Naira.... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 11791356,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (((-5 * -2 - 9 * 5) != (15 - ... |
logic-v2 | 评估以下每个表达式：
A. not not ((((not not (not not (波兰的首都是华沙。))) or ((not (七月有29天。)) or (镁的化学符号是Sn。))) or ((沙特阿拉伯的货币是里亚尔。) or ((2020年奥运会在亚特兰大举办。) or (波兰的货币是里拉。))) or ((not not ((铀的化学符号是Mn。) and ((35 % 3) <= (8 - 1)))) or ((海王星是距离太阳第8近的行星。) and ((埃及的首都是利马。) and ((6 * 0 + -4 * 6) >= (1 + -17)))))) or (((泰坦尼克号沉没发生在1912年。) and ((... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 85939823,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. not not ((((not not (not not (波兰的首都是华沙。))) or ((not (七月有29天。))... |
logic-v2 | Study the following logical statements:
A. not not (not not (((2 ** 2) < (1 ** 1) < (8 * 4 * 3 * -6)) or ((0 + 6) <= (-16 * 1))))
B. ((-4 * 6 * -2 * 5) <= (-5 * -9 - 7 * -1) <= (5 ** 2)) and (not not (((-2 * -8 + -1 * 0) > (4 * 6 * -10 * 2)) or ((20 - -15) < (5 - -18) < (-3 + 1))))
C. not not ((Germany is in Africa.) ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 46007008,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. not not (not not (((2 ** 2) < (1 ** 1... |
logic-v2 | 评估以下每个表达式：
A. (((3 ** 3) <= (4 * 5 - 4 * 7) <= (12 - -4)) and ((4 * -3 + 5 * -3) <= (-3 * -6 + -7 * -10) <= (-3 - 3))) and ((氮气在常温下是气体。) and ((6 * 5 * 9 * 1) > (-4 * 3 + 4 * -9)))
B. (((4 * -9 * 5 * 8) <= (-12 - -13)) and (一月有29天。)) and (not not (铅的化学符号是He。))
C. not (((0 * -1 * 8 * 5) != (6 * -5)) or ((-15 - -9) <= (2... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 92387776,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (((3 ** 3) <= (4 * 5 - 4 * 7) <= (12 - -4)) and ((4 * -3 + 5 * -3)... |
logic-v2 | 下面是几个布尔表达式：
A. not (not (not not (((空气在常温下是气体。) or ((13 - -20) != (16 - -18))) and ((15 * -1) != (2 * -1 * -1 * 1)))))
B. not not ((((not (not not ((20 * 13) < (-2 + -11)))) or (((火星是距离太阳第4近的行星。) or ((12 + -6) == (1 * -8))) and ((2087年是闰年。) and ((44 % 4) >= (-7 * -6 + 0 * -8))))) or (not ((鲸鱼是鸟类。) or (not ((4 * 14) < ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 36014017,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not (not (not not (((空气在常温下是气体。) or ((13 - -20) != (16 - -18)))... |
logic-v2 | 评估以下每个表达式：
A. (-20 - 17) > (5 * -11)
B. (-13 - -2) < (47 % 10) < (1 - -17)
C. 氧气对人类生存是必需的。
D. (((41 % 7) <= (7 - -5)) or (火星是距离太阳第5近的行星。)) and ((-20 * -20) != (-16 + 12))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 65858555,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (-20 - 17) > (5 * -11)\nB. (-13 - -2) < (47 % 10) < (1 - -17... |
logic-v2 | 审视以下逻辑表达式：
A. (not ((((((-8 - -16) >= (-4 - -9)) and (1972年奥运会在慕尼黑举办。)) or (中国位于亚洲。)) and (not not ((2 ** 3) < (11 % 8) < (7 * 2 * 9 * 7))) and (not (((-17 - 8) > (9 * 2 * 5 * 9)) or (钻石在常温下是固体。)))) or (not ((((4 * 4 + 8 * -2) == (3 + 11)) or (58是偶数。)) or ((墨西哥的货币是兹罗提。) or ((-20 - -20) <= (-2 * 7 - 8 * 6))))))) or (no... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 93126658,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (not ((((((-8 - -16) >= (-4 - -9)) and (1972年奥运会在慕尼黑举办。)) or (中国位于... |
logic-v2 | Examine these expressions:
A. (8 - 6) != (12 + 9)
B. The Berlin Wall fell occurred in 1988.
C. The 1900 Olympics were held in Tokyo.
Which ones are true? List the labels of all true options in \boxed{}, separated by commas. | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 42447261,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. (8 - 6) != (12 + 9)\nB. The Berlin Wall fell occur... |
logic-v2 | 评估以下每个表达式：
A. not not (((396是完全平方数。) or (短吻鳄是爬行动物。)) and ((3 ** 1) <= (3 - 3)))
B. ((((3 * -7 + -4 * 0) < (-12 - 10) < (-8 * 18)) or (伦敦大火发生在1667年。)) and ((十一月有29天。) and (俄罗斯的货币是卢布。))) or (not (袋鼠有6条腿。))
C. ((((2 ** 3) > (-9 * 2 - 1 * 8)) and (丹麦的货币是克朗。)) or ((汞在常温下是液体。) or (墨西哥位于南极洲。))) or ((锌的化学符号是Zn。) or (古巴的首都是哈瓦那... | {
"game_data": {
"answer": "B,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 9206968,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. not not (((396是完全平方数。) or (短吻鳄是爬行动物。)) and ((3 ** 1) <= (3 ... |
logic-v2 | Evaluate each expression below:
A. (14 * 2) == (5 - 15)
B. A dog has 10 legs.
C. The currency of Israel is the Shekel.
D. (not ((8 * -4 + 6 * 9) < (-10 * -5 - 4 * 0))) and ((The 1968 Olympics were held in Mexico City.) and (Chile is in South America.))
E. not not (195 is an odd number.)
F. not not (not not (The curren... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 55336986,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. (14 * 2) == (5 - 15)\nB. A dog has 10 legs.... |
logic-v2 | 审视以下逻辑表达式：
A. ((((((0 * -4) <= (10 - 11) <= (-5 - -2)) and (铜的化学符号是Cu。)) or ((1 * -16) >= (33 % 9))) and (((-16 - -11) > (2 * -3)) and ((1 ** 1) < (16 * -13))) and ((-3 - -5) == (-1 * -9))) and ((哥伦布到达美洲发生在1492年。) and ((-7 - 7) < (4 * -6 - 0 * 0)) and (not not ((-8 + 2) <= (-18 + -10) <= (-13 - 19))))) or ((not (not (... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 72906101,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. ((((((0 * -4) <= (10 - 11) <= (-5 - -2)) and (铜的化学符号是Cu。)) or ((1 ... |
logic-v2 | 分析以下逻辑表达式：
A. (not not ((((23 % 1) <= (-16 * 15) <= (-1 + 2)) or ((not (金星是距离太阳第4近的行星。)) or (((-14 + 8) < (-1 * 0 + 5 * 4)) or (1956年奥运会在伦敦举办。)))) or (not not (水星是距离太阳第1近的行星。)))) or (not (((((马来西亚的首都是曼谷。) or ((1 * 0 + 6 * 8) == (-3 * -8 * 3 * -1))) or (((-19 - -14) == (-15 + -12)) and ((37 % 9) == (-6 * -6 - -2 * 7)))... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 35965053,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (not not ((((23 % 1) <= (-16 * 15) <= (-1 + 2)) or ((not (金星是距离太... |
logic-v2 | Consider the following logical expressions:
A. (((-9 - 20) <= (17 % 6)) and (Bats are blind.)) and (The currency of Australia is the Dollar.)
B. (not ((4 * -2) >= (3 ** 1))) and (((15 + -5) < (49 % 5) < (20 + 5)) and (Chile is in South America.))
C. (36 % 10) == (10 % 3)
D. (-7 + -7) != (0 + -6)
E. (-15 * -9) == (-2 +... | {
"game_data": {
"answer": "D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 35416639,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (((-9 - 20) <= (17 % 6)) and (B... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((not not (捷克的货币是兹罗提。)) or ((((0 * -5 + -10 * 5) == (-13 + 19)) or ((-1 * -10) < (-4 + 19))) or (南非位于非洲。))) or ((((中国的首都是河内。) or ((12 * 15) > (5 ** 1))) and (海王星是距离太阳第8近的行星。)) and ((九月有29天。) or ((第一部iPhone发布发生在2007年。) and (1900年奥运会在巴黎举办。))))
B. (not (((39能被5整除。) or ((-4 * 10 + -10 * -9) < (4 +... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 96149596,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((not not (捷克的货币是兹罗提。)) or ((((0 * -5 + -10 * 5) == (... |
logic-v2 | 评估以下每个表达式：
A. ((not not (not (波兰的货币是印尼盾。))) and (1954年是闰年。)) and (not not ((六月有30天。) or (1976年是闰年。)))
B. 水在海平面上的沸点是100摄氏度。
C. not not (((20 + 18) >= (-4 + -9)) and (((-12 - 8) > (-5 * 1 - 7 * -6)) or (((3 ** 1) <= (-18 - -7) <= (4 * 12)) or (1906年是闰年。))))
D. not not ((not (((6 - -7) >= (4 * -4 * 8 * 4)) or ((-3 * -2 -... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 8384981,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. ((not not (not (波兰的货币是印尼盾。))) and (1954年是闰年。)) and (not not ((六月有30... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (not not (not not (not not (((-3 * 5 * 0 * -5) >= (3 % 10)) or ((2 ** 1) > (-15 - 11))))))) and (not not (not ((((The capital of Romania is Bucharest.) and ((8 - -15) < (-15 - -17))) or (The capital of Argentina is Buenos Aires.)) and (The currency of Singapor... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 96016545,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (not not (not not... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((-17 - -15) > (-20 * -13)) or (((八月有29天。) and ((2 ** 3) <= (-14 - -3) <= (-17 - -7))) and (((-9 + -20) <= (14 - -20)) or (尼日利亚的货币是索尔。)))
B. 人体有206块骨头。
C. not (not not (((-17 + -20) > (4 * 2 - -1 * 7)) or ((-5 - 19) <= (-12 * -8))))
哪些选项的值为真？请列出所有为真的选项标识，用逗号分隔，填入 \boxed{} 中。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 97941888,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((-17 - -15) > (-20 * -13)) or (((八月有29天。) and ((2 ** 3... |
logic-v2 | Below are several boolean expressions:
A. (((-3 + 1) < (5 ** 3)) and (not ((The 2008 Olympics were held in Beijing.) or (The capital of Finland is Helsinki.)))) and ((((The currency of South Africa is the Krona.) and ((-3 + -18) <= (16 * 18) <= (-1 * 9 - -7 * -8))) and ((2006 is a leap year.) and (Saturn is the 6th pl... | {
"game_data": {
"answer": "B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 3101919,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (((-3 + 1) < (5 ** 3)) and (not ((T... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((海王星是距离太阳第8近的行星。) and (not not ((-5 * -2 * -4 * -9) > (12 + -7))) and ((-3 - 10) > (9 * -6 * -3 * 5))) or (not ((-10 * -3) <= (3 ** 2)))
B. (not not ((40 % 7) != (17 - 3))) and (((1964年奥运会在圣路易斯举办。) and (壁虎是爬行动物。)) or (((8 - -7) < (5 * -6 * -9 * 8)) or (巴西的货币是比索。))) and (not not ((not (巴西位于南美洲... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 98663927,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((海王星是距离太阳第8近的行星。) and (not not ((-5 * -2 * -4 * ... |
logic-v2 | 审视以下逻辑表达式：
A. (not ((1968年奥运会在墨西哥城举办。) and ((人类有三个肺。) and ((-8 + 0) <= (3 ** 3))))) and ((((-9 * -2 * -5 * -8) > (-5 + -2)) or (越南位于亚洲。)) or ((光速比声速快。) and (((1988年奥运会在柏林举办。) or ((18 + 15) < (3 ** 3))) and (鲤鱼是鱼类。))))
B. not (not (not not (阿根廷的货币是比索。)))
C. ((((瑞士的首都是安卡拉。) or ((3 - 8) < (15 - -17) < (5 * 20))) and ((2 ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 10867571,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (not ((1968年奥运会在墨西哥城举办。) and ((人类有三个肺。) and ((-8 + 0) <= (3 **... |
logic-v2 | Study the following logical statements:
A. (9 * 13) != (5 * 8 + -5 * -2)
B. ((-13 + 16) > (44 % 2)) and ((A alligator is a reptile.) and (Silver is a solid at room temperature.))
C. India is in South America.
Which statements are true? Put all true option labels in \boxed{}, separated by commas. | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 85200535,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (9 * 13) != (5 * 8 + -5 * -2)\nB. (... |
logic-v2 | Review these logical expressions:
A. (The 2016 Olympics were held in Rio de Janeiro.) or (((-6 + -18) > (47 % 2)) or ((-1 + -10) <= (43 % 3))) or (((The chemical symbol for Chromium is Ti.) or ((-7 * 1 - 9 * 7) < (14 + -9))) and (not (Earth is the 3rd planet from the Sun.)))
B. (not ((-14 - 1) == (-17 * -2))) or (((Th... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 20287603,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (The 2016 Olympics were held in Rio de Ja... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (((-15 + 2) > (27 % 2)) and ((3 - 10) <= (32 % 5)))
B. not (not not ((1992年奥运会在巴塞罗那举办。) and ((8 * -1 + -2 * -5) < (1 * 10))))
C. (铁的化学符号是Fe。) or (新西兰的货币是新西兰元。)
D. ((((6 + 7) <= (9 * -15)) or (太阳绕地球运转。)) or ((伦敦大火发生在1666年。) and (法国大革命开始发生在1799年。))) and (汞在常温下是固体。) and ((not not ((38 % 8) <= ... | {
"game_data": {
"answer": "C,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 91590053,
"true_count": 5
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (((-15 + 2) > (27 % 2)) and ((3 - 10) <= (32... |
logic-v2 | Examine these expressions:
A. not ((((not not ((2 ** 2) < (11 - -2))) and ((((1 * -7 * 10 * 7) > (4 * 11)) or ((7 - -20) < (-7 * 8 * 3 * 8))) and (not not (The capital of Venezuela is Caracas.)))) or ((((2091 is a leap year.) or (The capital of Germany is Athens.)) or (((11 * -4) > (8 * 1 - -5 * 1)) or (The 1924 Olymp... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 4673564,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not ((((not not ((2 ** 2) < (11 - -2))) and ((((1 *... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((not not (not not (西班牙位于欧洲。))) or ((20 * 7) != (48 % 8)))
B. ((not not ((-10 * 2 - -8 * 1) >= (5 * -8 * -1 * 9))) or (((钻石由碳元素组成。) or ((-10 * -6) == (-7 - -14))) or (马是哺乳动物。))) or ((1948年奥运会在伦敦举办。) or ((9 * -8 + -4 * 7) > (11 - -18)))
C. (((not (1972年奥运会在慕尼黑举办。)) or (十二月有31天。)) or ((2 - 1)... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 1464778,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((not not (not not (西班牙位于欧洲。))) or ((20 * 7) !=... |
logic-v2 | 研究以下逻辑语句：
A. (not not (钾的化学符号是K。)) or (((8 + -19) > (0 * -2 * 10 * -3)) or ((-7 * 3 - -8 * 7) != (-4 - -19)))
B. 鸡有2条腿。
C. 二月有31天。
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 610692,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (not not (钾的化学符号是K。)) or (((8 + -19) > (0 * -2 * 10 * -3)) or ((-7 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((not not ((((34 % 1) <= (-12 - -11)) and (地球是距离太阳第3近的行星。)) or (not not (49的平方根是7。)))) or (not not ((not ((-1 * -8) == (1 * -9 - -8 * -5))) and ((南非的货币是兰特。) or (土星是距离太阳第6近的行星。)))))
B. ((((10 * 5 * -6 * -2) != (-11 + -6)) and ((-19 * 6) == (18 + 18))) or (not not ((银的化学符号是Ag。) or ((44能被... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 55237009,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not ((not not ((((34 % 1) <= (-12 - -11)) and (... |
logic-v2 | 评估以下每个表达式：
A. (not (((人类有三个肺。) and (企鹅能飞翔。)) or (((10 * -7 - -5 * 9) > (14 * -19)) and ((0 * 16) != (-20 * -9))))) or ((3 + -16) == (7 * 12)) or ((铂的化学符号是Mn。) and ((((10 * 1 + -6 * 9) > (4 ** 1)) or (100的平方根是3。)) or ((-10 - -9) < (5 ** 3) < (11 - 2))))
B. (((德国位于欧洲。) or (冰在常温下是气体。)) and (((0 + -13) <= (-5 * -8 + -6 * ... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 40434156,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (not (((人类有三个肺。) and (企鹅能飞翔。)) or (((10 * -7 - -5 * 9) > (14 * -19... |
logic-v2 | 下面是几个布尔表达式：
A. (((3 ** 2) <= (-6 + -16)) or ((南非位于欧洲。) and (越南的首都是奥斯陆。)) or ((((15 * 15) >= (-17 - 2)) and ((20 - -17) > (2 ** 1))) and (((10 * 5) <= (16 - -19)) or ((27 % 7) >= (20 % 8))))) or (not (土耳其的货币是兰特。))
B. ((not ((钠的化学符号是Na。) and (1948年奥运会在伦敦举办。))) or (植物通过光合作用产生氧气。) or (25的平方根是5。)) and (海王星是距离太阳第8近的行星。) and... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 62546192,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (((3 ** 2) <= (-6 + -16)) or ((南非位于欧洲。) and (越南的首都是奥斯陆。)) or ((... |
logic-v2 | 检验这些表达式：
A. (((((5 % 3) < (-4 - 4)) or ((4 % 1) < (-9 * 6) < (-8 * 5 * 6 * -1))) and (水蒸气在常温下是气体。)) or (法国的首都是拉巴特。) or (((40小于等于35。) and ((-4 - 0) <= (35 % 5))) and ((867是斐波那契数。) and (哥伦布到达美洲发生在1492年。)))) or (not not ((not (牛有100条腿。)) and (not not ((-10 * 6 + 9 * -5) < (-7 + 14) < (-1 * -10 - -7 * -1)))))
B. ((((7 - -... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 33858553,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (((((5 % 3) < (-4 - 4)) or ((4 % 1) < (-9 * 6) < (-8 * 5 * 6 * -... |
logic-v2 | Given the following boolean expressions:
A. (not not (not ((A human has 2 legs.) or ((4 % 6) <= (10 * 13))))) and (((not not ((8 % 3) == (40 % 9))) and (The chemical symbol for Titanium is Cu.)) or ((((12 - -16) <= (-8 - -5)) or ((-9 - -13) > (5 - -16))) and ((The 1980 Olympics were held in London.) or ((32 % 9) > (-1... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 91785300,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (not not (not ((A human has 2 legs... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (not not (not (((-2 + 3) >= (47 % 6)) and ((人类有三个肺。) or ((26 % 10) == (12 - -14))))))
B. ((((莱特兄弟首次飞行发生在1901年。) and (巴西的货币是克朗。)) and (((not (俄罗斯的货币是卢布。)) or ((天王星是距离太阳第7近的行星。) and ((8 * -2 + 4 * -1) <= (5 * 8 * -6 * 2)))) and (泰国的首都是曼谷。))) or ((not (not not ((土星是距离太阳第1近的行星。) and (71小于等... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 34760909,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not (not not (not (((-2 + 3) >= (47 % 6)) and (... |
logic-v2 | Study the following logical statements:
A. (6 * 4 - 0 * 3) == (7 * -13)
B. (((-8 * 0 * 2 * 3) <= (4 * 16) <= (4 * 5)) or (The 1964 Olympics were held in Tokyo.)) and (not not ((15 * 7) == (2 % 10)))
C. (((8 + 8) <= (20 + -11)) and (The currency of Sweden is the Krona.)) and (not not (Gold is a solid at room temperatur... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 2064958,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (6 * 4 - 0 * 3) == (7 * -13)\nB. (((-8... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (((氧气在常温下是气体。) or (((-4 + 7) == (-18 - 2)) or ((28 % 8) >= (4 * 7 - 3 * -10))) or ((人类首次登月发生在1968年。) and (((15 + 0) >= (-3 * 13)) or (铜在常温下是固体。)))) or ((((-6 - -1) == (15 % 5)) and ((-14 + -5) > (3 * -6 + -3 * -3))) or ((甲虫是昆虫。) or (火星是距离太阳第4近的行星。))) or ((酒精在常温下是固体。) or (((月球绕地球运转。) and ((7 + -1... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 39441648,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (not not (((氧气在常温下是气体。) or (((-4 + 7) == (-18 - 2)) or ((28 % ... |
logic-v2 | Given the following boolean expressions:
A. ((not not (not not (not (((-20 - -3) == (2 + -11)) and ((13 * -4) >= (15 + -10)))))) or ((not not (((-18 * 7) >= (-15 + 3)) or ((Colombia is in Africa.) or ((-7 + 0) > (-2 * -9))))) and (((not not (1925 is a leap year.)) and (not not ((2 + 7) <= (18 + -18)))) or (The currenc... | {
"game_data": {
"answer": "A,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 75805089,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. ((not not (not not (not (((-20 -... |
logic-v2 | 下面是几个布尔表达式：
A. (not ((not ((-9 + -12) != (9 % 9))) and ((印度的货币是克朗。) or (意大利位于欧洲。)))) or (not (地球是距离太阳第2近的行星。)) or ((((木星是距离太阳第4近的行星。) or ((3 * 0 - 1 * -7) < (5 * 2 * 4 * -7) < (-10 * 7 + -4 * -10))) or (智利的货币是比索。)) or (比利时的首都是布鲁塞尔。) or (not ((印度尼西亚位于北美洲。) and ((4 * -2 * -6 * -7) >= (6 * 3 - 0 * 4)))))
B. (((not not (俄... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 46645962,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (not ((not ((-9 + -12) != (9 % 9))) and ((印度的货币是克朗。) or (意大利位于欧... |
logic-v2 | Evaluate each expression below:
A. (not not ((2096 is a leap year.) or ((not ((26 % 6) != (-9 * -2 - 4 * -10))) and (not (The chemical symbol for Lead is H.))))) or (not not ((((Oil is a solid at room temperature.) or (Carbon dioxide is a gas at room temperature.)) or (not not ((2 ** 1) < (46 % 7) < (11 % 3)))) or (no... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 64224162,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (not not ((2096 is a leap year.) or ((not... |
logic-v2 | Evaluate each expression below:
A. not not (not ((-14 + 11) < (7 % 2) < (39 % 10)))
B. (Diamonds are made of carbon.) and ((46 is divisible by 7.) and ((-5 * -11) == (-2 + -14)))
C. ((Mars is the 4th planet from the Sun.) or (Argentina is in Antarctica.)) or ((-9 + 10) == (3 % 8))
List all options that evaluate to Tr... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 73978709,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not not (not ((-14 + 11) < (7 % 2) < (39 % 10... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not not (not (((not ((19 * 1) > (7 % 10))) or ((The Titanic sank occurred in 1912.) and (The 2008 Olympics were held in Beijing.))) and (((-9 * -4 - 8 * -10) <= (0 * -10 * 8 * -5)) and (((-5 * 4) <= (-16 - 6)) and ((3 ** 3) <= (6... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 21007316,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Consider the following logical expressions:
A. not (not not ((not not (not (A herring is a fish.))) and ((not not (not ((-6 * -9) >= (-18 - 18)))) or ((((-8 * 1) == (20 * -12)) or ((2 ** 2) >= (13 + -9))) and ((47 % 10) < (10 - -15) < (-3 + 10))))))
B. not (not not (((((Australia is in Oceania.) or (The capital of Mal... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 56776240,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. not (not not ((not not (not (... |
logic-v2 | Below are several boolean expressions:
A. not not ((not not ((The currency of Canada is the Naira.) or (Neptune is the 4th planet from the Sun.))) and (not not (((46 % 8) <= (19 * 0) <= (-3 * -17)) and (((-6 * 5 - 9 * 4) <= (9 - 6)) or (Venus is the 5th planet from the Sun.)))) and ((not (Oxygen is a gas at room tempe... | {
"game_data": {
"answer": "B,C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 61378978,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not ((not not ((The currency... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (-9 * 0) < (5 * 5 * 7 * 2) < (2 ** 1)
B. (((23 % 2) <= (-1 - -9) <= (-15 + 13)) or ((6 * -1 * -5 * 0) > (-18 - -5))) and ((-11 + -9) <= (18 + 9))
C. (((3 ** 1) > (0 - -2)) and (Humans have three lungs.)) or (The square root of 81 is 3.)
D... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 51261175,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
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