env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 评估以下每个表达式：
A. ((not not ((-19 * -1) < (-6 * 0 - 1 * -5) < (13 - 6))) and (not (not not ((-7 * 6 + 3 * -4) <= (-3 * 6 + 2 * -9) <= (19 * -18))))) and (((火星是距离太阳第6近的行星。) or ((木星是距离太阳第2近的行星。) and (not (猪有4条腿。)))) and ((((1911年是闰年。) or ((-17 + -19) != (5 ** 3))) or (not ((4 ** 2) > (6 * 10 + 5 * -8)))) or (1904年奥运会在圣路易斯举办... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 97351233,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((not not ((-19 * -1) < (-6 * 0 - 1 * -5) < (13 - 6))) and (not ... |
logic-v2 | Evaluate each expression below:
A. (not not (not not (not not ((5 * -7 + 7 * 9) != (10 * 10 + -6 * 3))))) and (((((37 % 8) < (-10 * 17) < (4 ** 3)) or ((4 * -14) != (-7 - -3))) and ((The Great Wall of China was built in one year.) or (India is in Asia.))) or ((The square root of 25 is 12.) and (163 is a perfect square... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 87770944,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (not not (not not (not not ((5 * -7 + 7 * 9) ... |
logic-v2 | Below are several boolean expressions:
A. (not ((7 + 5) < (5 ** 2))) or ((not not ((144 is a perfect square.) or ((-8 * -9) >= (-16 * -12)))) and (((There are 30 days in September.) or ((3 ** 2) >= (3 - -17))) and (not (The 1900 Olympics were held in Berlin.))))
B. (not (((-2 * -1) >= (0 * -3 - 0 * -1)) and (There are... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 5114831,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (not ((7 + 5) < (5 ** 2))) or ((not not... |
logic-v2 | Below are several boolean expressions:
A. not not ((((United States is in Africa.) and (not (Ice is a solid at room temperature.))) or (not (((A flamingo is a fish.) and ((5 * -17) <= (-12 - 18))) or (not not (The currency of Sweden is the Krona.))))) and (((((The capital of Turkey is New Delhi.) and (The capital of S... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 47321775,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not not ((((United States is in Africa... |
logic-v2 | 分析以下逻辑表达式：
A. not not (俄罗斯的首都是利雅得。)
B. not (not (((-6 * -10 + -9 * -3) > (-6 + -9)) and (土耳其的首都是安卡拉。)))
C. (((冰在常温下是固体。) or (印度尼西亚的货币是比索。)) and (((-8 - 0) <= (4 - -2)) or ((2 * -4) != (-8 + 16)))) and (中国长城是在一年内建成的。)
D. (not not (not not (鸡是爬行动物。))) or ((5 ** 2) < (10 * 19)) or ((((-1 + 4) >= (-1 + -6)) and ((2 ** 1) ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 10345895,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not (俄罗斯的首都是利雅得。)\nB. not (not (((-6 * -10 + -9 * -3) > (-6 ... |
logic-v2 | Analyze these boolean expressions:
A. not not (((not (((4 ** 1) != (3 * -19)) and ((-7 - -13) == (16 * -12)))) or (The capital of Canada is Ottawa.)) and (not ((The 1936 Olympics were held in Athens.) and (Chile is in South America.))))
B. ((((Light travels faster than sound.) or (World War II ended occurred in 1945.)... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 32722781,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not not (((not (((4 ** 1) != (3 * -19)... |
logic-v2 | Analyze these boolean expressions:
A. (((((3 * -2 * -10 * 9) != (3 * 9)) or (A duck has 2 legs.)) or ((4 * 4 * 5 * 5) < (2 - -11))) or (not not ((-14 - -1) != (5 + -18))) or (((The capital of Argentina is Seoul.) and (291 is a perfect square.)) and (not not (Water is a gas at room temperature.)))) and (((-15 - 4) <= (... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 16396961,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (((((3 * -2 * -10 * 9) != (3 * 9)) or (A d... |
logic-v2 | Given the following boolean expressions:
A. (10 * 2 + -1 * -2) == (-5 * -8 * 0 * 10)
B. (The 1920 Olympics were held in Barcelona.) or (Brazil is in South America.)
C. not (((-8 + -14) <= (-6 - 10)) or ((-12 - 19) == (-10 * 5)))
D. not not (((-2 * -17) <= (-17 - 0)) or (The 2000 Olympics were held in Sydney.))
E. The ... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 58016951,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (10 * 2 + -1 * -2) == (-5 * -8 *... |
logic-v2 | Given the following boolean expressions:
A. The Pacific Ocean is the largest ocean.
B. ((not not (((-3 * 3 + 3 * 8) == (8 % 9)) or ((-7 * -9 - 0 * -3) > (9 * 16)))) or ((Kenya is in Africa.) and (A elephant has 6 legs.)) or (not (Saturn is the 6th planet from the Sun.))) or (The currency of Saudi Arabia is the Franc.)... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 67007770,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. The Pacific Ocean is the largest oce... |
logic-v2 | 检验这些表达式：
A. ((((锰的化学符号是Mn。) or ((5 ** 3) <= (0 * -2 - 6 * 5))) or ((秘鲁位于南极洲。) and ((2 ** 3) <= (-13 * -12) <= (7 + 2)))) or (not not ((2 ** 2) > (-15 + -8))) or ((not (澳大利亚位于北美洲。)) or (not ((0 * 3 * 1 * -7) < (41 % 4))))) or ((((锌的化学符号是Al。) and ((3 * -5 - -2 * -7) <= (-15 + 20))) or (2055年是闰年。)) and ((not not (80能被10整... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 35050407,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((((锰的化学符号是Mn。) or ((5 ** 3) <= (0 * -2 - 6 * 5))) or ((秘鲁位于南极洲。) ... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not (not not (not not (大象有100条腿。)))) or (((33 % 2) < (15 - -5)) and ((鱼有0条腿。) or ((19 + 5) <= (-6 * -4 + 3 * 0)))) or (not (not not ((8 * 1 * -10 * 5) >= (-7 + 18))))) or ((((18 + 3) < (4 ** 2)) or (((-12 + -10) >= (2 * -2 * 1 * 0)) and ((1 - 16) <= (10 * -19))) or ((((1 + 13) == (-4 * 7 + -1 * 1))... | {
"game_data": {
"answer": "A,B,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 29048742,
"true_count": 6
},
"question": "考虑以下布尔表达式：\n\nA. ((not not (not not (not not (大象有100条腿。)))) or (((33 % 2)... |
logic-v2 | 考虑以下布尔表达式：
A. ((5 * 10 - -10 * -8) <= (-16 - 14)) or (not (1961年是闰年。)) or (not ((1900年奥运会在蒙特利尔举办。) and ((5 - -11) == (-2 - 14))))
B. not not (((13 - 17) >= (9 - 15)) and ((0 + -13) <= (-10 * 9 + 5 * 8) <= (-4 * -4 + 6 * 2)))
C. (((苏联解体发生在1991年。) or ((-20 + 16) <= (12 - -3) <= (-8 - -10))) and (not not (1948年奥运会在伦敦举办。)... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 65701458,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. ((5 * 10 - -10 * -8) <= (-16 - 14)) or (not (1961年是闰年。)) or (not (... |
logic-v2 | 评估以下每个表达式：
A. (((not (((0 - 12) < (1 * -10 + -7 * 0)) or ((17 - -5) == (-4 * 2 + 8 * -2)))) or ((((-3 * 6 + 1 * -5) > (-10 * -8 - 4 * 3)) and (地球上一天是24小时。)) and (not not ((4 - -18) > (31 % 10))))) and (not ((not not (水在常温下是液体。)) or ((18 * -6) <= (10 * -5 * 5 * -7))))) and (not not (((((-1 * -10 - 4 * 3) != (4 ** 1)) o... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 85451671,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (((not (((0 - 12) < (1 * -10 + -7 * 0)) or ((17 - -5) == (-4 *... |
logic-v2 | 给定以下布尔表达式：
A. ((((第一部iPhone发布发生在2007年。) or (三月有29天。)) or (((10 % 9) <= (8 * 4 - -10 * -3)) and (蜥蜴是鸟类。))) and ((鱼有100条腿。) and (not (1986年是闰年。)))) or (not ((哥伦布到达美洲发生在1492年。) and ((-8 - 5) <= (40 % 7)))) or (((not (墨西哥的首都是布鲁塞尔。)) or ((0 * 1 + -1 * -10) < (3 - -11))) and (1912年奥运会在斯德哥尔摩举办。) and ((not not (钛的化学符号是Mn。)) o... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 32930343,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((((第一部iPhone发布发生在2007年。) or (三月有29天。)) or (((10 % 9) <= (8 * ... |
logic-v2 | Examine these expressions:
A. (not not ((2 + 19) < (15 % 10) < (-11 - 4))) or (There are 31 days in July.) or (not ((((5 ** 1) >= (-9 - -19)) and ((-14 - 15) != (27 % 9))) or ((The capital of Greece is Athens.) and ((-3 * -6 - -4 * -3) > (6 + 11)))))
B. not ((not (Australia is in Antarctica.)) and ((40 is greater than... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 70362750,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (not not ((2 + 19) < (15 % 10) < (-11 - 4))) o... |
logic-v2 | 下面是几个布尔表达式：
A. (((((-10 - -9) <= (5 * -1 * 10 * -4) <= (7 * 6)) or (((-4 * 7) < (10 % 5) < (4 ** 1)) and (美国位于北美洲。))) and (伦敦大火发生在1661年。)) and (((20 * 3) > (0 * 17)) and (挪威的货币是克朗。))) or (((((2 * -6) == (25 % 10)) and ((-3 * 9 * 3 * -5) >= (38 % 8))) and (not not ((日本的货币是雷亚尔。) and (第二次世界大战结束发生在1945年。)))) and (硫的化学符号是S... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 37452151,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (((((-10 - -9) <= (5 * -1 * 10 * -4) <= (7 * 6)) or (((-4 * 7... |
logic-v2 | Examine these expressions:
A. (not ((The currency of Chile is the Rupiah.) and (The currency of Singapore is the Dollar.))) and (((The 2020 Olympics were held in London.) and (The 1972 Olympics were held in Antwerp.)) or ((The 1928 Olympics were held in Amsterdam.) and ((-19 - -10) != (-6 + -13)))) and (((((17 + 4) < ... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 43154379,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (not ((The currency of Chile is the Rupiah.) and... |
logic-v2 | 研究以下逻辑语句：
A. not not (((1976年是闰年。) and (莱特兄弟首次飞行发生在1903年。)) or ((2 - 13) < (1 % 4)))
B. not not (10是质数。)
C. (俄罗斯位于欧洲。) and (not ((罗马尼亚的首都是赫尔辛基。) and (氦气在常温下是气体。)))
D. ((火星是距离太阳第8近的行星。) and (not (蚂蚁有8条腿。))) or ((氮的化学符号是Mg。) and (哥伦比亚的货币是日元。))
E. not ((((15 - 9) <= (11 - -16)) and (企鹅能飞翔。)) or (第一次世界大战开始发生在1915年。))
F. (... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 57158967,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not not (((1976年是闰年。) and (莱特兄弟首次飞行发生在1903年。)) or ((2 - 13) < (... |
logic-v2 | 研究以下逻辑语句：
A. ((-8 + -8) == (-1 * 3)) and ((((5 * 9) == (30 % 2)) and ((6 * 6) == (5 * 2 + 10 * -4))) and (not ((3 ** 2) > (2 - 16))))
B. (((孔雀是鸟类。) or ((-6 * 5 * -8 * -3) != (-11 * -16))) or (((-7 * -11) < (-11 + 16)) and ((1 ** 2) <= (11 * 0)))) or (巴西的货币是雷亚尔。)
C. not not (地球是距离太阳第3近的行星。)
哪些语句为真？在 \boxed{} 中填入所有为真的选... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 49636492,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. ((-8 + -8) == (-1 * 3)) and ((((5 * 9) == (30 % 2)) and ((6 * 6) ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. 2072 is a leap year.
B. not not ((-8 * -16) < (3 - 15))
C. ((11 - 12) >= (5 ** 2)) or (((-8 * -4) == (7 - -11)) and ((-4 * 20) != (1 * 2 * -1 * 1)))
D. (not not ((4 - -18) >= (-2 * 1))) and (((38 % 7) == (2 ** 2)) and ((-4 * 5) >= (18 % 1)))
E. (-4 - 4) < (-3 * 8 + 9 *... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 11669838,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. 2072 is a leap year.\nB. not n... |
logic-v2 | 考虑以下布尔表达式：
A. not not (1928年奥运会在里约热内卢举办。)
B. ((0 + -14) >= (7 * 4 + 7 * -3)) or ((not not ((-2 - 18) == (10 * 8 - -7 * 1))) and (((-17 + -9) >= (-12 - 11)) and ((-4 * 4 * -3 * -9) > (1 ** 3))))
C. (((蜘蛛是昆虫。) or ((-17 + 5) == (0 + 2))) and ((人体有206块骨头。) or ((8 * 7) == (7 * 11)))) or (((32 % 7) <= (-20 + -9)) or (not (欧... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 54030632,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not not (1928年奥运会在里约热内卢举办。)\nB. ((0 + -14) >= (7 * 4 + 7 * -3)) ... |
logic-v2 | 研究以下逻辑语句：
A. (((七月有30天。) or (((意大利位于非洲。) and (十一月有28天。)) or (((0 * -5 * 1 * 1) >= (20 + -14)) or ((18 - -2) != (-8 * 8))))) or ((not (not (2069年是闰年。))) or (778是斐波那契数。))) or ((((人类是哺乳动物。) or (天王星是距离太阳第7近的行星。)) and ((5 ** 2) == (29 % 8))) or (((第二次世界大战结束发生在1945年。) and (((-5 * 7 + -2 * 10) < (8 - -6)) or (天王星是距离太阳第3近的行星。... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 3694635,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (((七月有30天。) or (((意大利位于非洲。) and (十一月有28天。)) or (((0 * -5 * 1 * 1) ... |
logic-v2 | 考虑以下布尔表达式：
A. not ((((4的平方根是9。) or (2085年是闰年。)) or (马来西亚的首都是巴黎。)) or (not not (土星是距离太阳第6近的行星。)) or ((4 * 8 * 8 * 1) == (1 * -8 - -10 * 0)))
B. not not (not not (法国大革命开始发生在1788年。))
C. 声音无法在真空中传播。
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 61869459,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not ((((4的平方根是9。) or (2085年是闰年。)) or (马来西亚的首都是巴黎。)) or (not not (土... |
logic-v2 | 评估以下每个表达式：
A. ((((-17 - 15) > (-3 + -10)) or (电流比光速更快。)) or (((20 + -15) == (19 + 3)) or ((-6 + -14) != (15 + -3)))) or ((蜘蛛是昆虫。) and (天王星是距离太阳第7近的行星。)) or ((天王星是距离太阳第4近的行星。) or (((4 * -2 * 2 * -8) <= (0 * 14)) and (162是偶数。)))
B. ((-3 + -7) == (28 % 10)) and (智利的首都是圣地亚哥。) and (not (not not (摩洛哥位于北美洲。)))
C. ((5 * 2 - -... | {
"game_data": {
"answer": "A,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 79202245,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. ((((-17 - 15) > (-3 + -10)) or (电流比光速更快。)) or (((20 + -15) =... |
logic-v2 | 评估以下每个表达式：
A. ((((1 ** 3) < (17 - -2) < (9 - -19)) or ((1972年奥运会在亚特兰大举办。) and (not not (空气在常温下是气体。)))) or ((not not (not ((2 ** 2) < (5 ** 1)))) or (((-2 * 9 - -8 * 0) >= (4 + -14)) and ((-4 * -2 * 8 * -6) <= (16 + -15))) or (not not (((2 ** 1) > (1 ** 1)) or (狮子是哺乳动物。))))) or (not not ((3 * -15) < (7 - -14))) or (((n... | {
"game_data": {
"answer": "A,C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 35290483,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. ((((1 ** 3) < (17 - -2) < (9 - -19)) or ((1972年奥运会在亚特兰大举办。... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (There are 31 days in May.)
B. (not not (((-19 - 3) >= (23 % 7)) or ((-6 * 3 - 7 * -1) != (-5 * -1 * -5 * 8)))) or ((not not (The chemical symbol for Potassium is K.)) or ((7 * 7) > (1 ** 1)))
C. ((((14 % 6) <= (-17 + -6)) and (The chemical symbol for Lead is U... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 67845901,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (There are 31 days... |
logic-v2 | Review these logical expressions:
A. ((not not (((-4 * 10 * -4 * 7) > (13 + 6)) and (The chemical symbol for Silver is Ag.))) and (not (((4 * 5 - 3 * -1) == (4 ** 2)) or ((11 + -9) == (35 % 5))))) and (not not ((-5 * -5 * -2 * -3) >= (29 % 10)))
B. ((((The Berlin Wall fell occurred in 1989.) or (The Earth revolves aro... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 57655793,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. ((not not (((-4 * 10 * -4 * 7) > (13 + 6)) ... |
logic-v2 | Below are several boolean expressions:
A. not not (((((-5 + -5) <= (-6 * 7 * -8 * 6)) and (not ((-3 * 9 * 8 * 5) != (8 * -2 + -4 * -8)))) or ((not ((1 * -9) >= (2 ** 3))) or ((The currency of Switzerland is the Baht.) and (Steam is a gas at room temperature.)))) or (((15 % 6) >= (-20 - -3)) or ((4 % 4) >= (7 + -7))))
... | {
"game_data": {
"answer": "A,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 21891089,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not (((((-5 + -5) <= (-6 * 7 *... |
logic-v2 | 评估以下每个表达式：
A. not (((-6 + 5) == (3 ** 1)) or (水在常温下是液体。))
B. (not not ((11 + -16) < (-1 * 1) < (44 % 9))) and ((澳大利亚位于北美洲。) or (欧盟的货币是欧元。))
C. 越南的货币是雷亚尔。
D. 章鱼有8条腿。
E. (((1 * -11) > (-9 + -8)) and (人类首次登月发生在1969年。)) and ((16 - 16) > (18 - -13))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 95235270,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not (((-6 + 5) == (3 ** 1)) or (水在常温下是液体。))\nB. (not not ((11 + ... |
logic-v2 | 评估以下每个表达式：
A. not not (((((2 ** 2) > (3 * 2)) or (南极洲是最冷的大陆。)) or ((火星是距离太阳第3近的行星。) and ((25能被4整除。) or (钻石在常温下是固体。)) and ((((11 * -13) <= (9 * -9 * 2 * 7)) or (越南位于亚洲。)) or ((鲸鱼是鱼类。) or (锌的化学符号是Cl。))))) or ((((俄罗斯的首都是莫斯科。) or ((-9 * -4 * 8 * 2) != (3 ** 1))) and (((4 ** 1) >= (-7 + -2)) and (火星是距离太阳第2近的行星。))) or (not ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 56201758,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. not not (((((2 ** 2) > (3 * 2)) or (南极洲是最冷的大陆。)) or ((火星是距离太阳第... |
logic-v2 | 下面是几个布尔表达式：
A. 莱特兄弟首次飞行发生在1903年。
B. not not ((智利位于非洲。) or ((-5 * -6 + -6 * -7) >= (-8 - 1)))
C. (16 * -9) >= (7 * 6)
D. not (not not ((-4 * -10 + -10 * -6) <= (1 * 6 - 5 * 2)))
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": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 57847077,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. 莱特兄弟首次飞行发生在1903年。\nB. not not ((智利位于非洲。) or ((-5 * -6 + -6 * ... |
logic-v2 | Below are several boolean expressions:
A. not (not not (((-8 + 0) <= (-4 + 5) <= (6 * -7 * 3 * -1)) and (Uranus is the 5th planet from the Sun.)))
B. (82 is less than or equal to 29.) and (((Indonesia is in Asia.) or (Saudi Arabia is in Asia.)) and (2059 is a leap year.))
C. not (A iguana is a reptile.)
D. ((((4 ** 2)... | {
"game_data": {
"answer": "A,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 13612581,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. not (not not (((-8 + 0) <= (-4... |
logic-v2 | 下面是几个布尔表达式：
A. (not ((第一次世界大战开始发生在1914年。) or (not (哥伦布到达美洲发生在1492年。)))) and (((not not (not not ((-1 - 12) <= (-10 * 7 - 2 * -2)))) or (第二次世界大战开始发生在1937年。)) and (not ((456是斐波那契数。) and (印度尼西亚的货币是林吉特。))) and (not not (((法国位于欧洲。) or ((-4 - -5) <= (-3 + 6))) or (not ((9 % 9) >= (-15 + 14))))))
B. not not ((((天王星是距离太阳第7近的行... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 85088651,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (not ((第一次世界大战开始发生在1914年。) or (not (哥伦布到达美洲发生在1492年。)))) and (((n... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not ((18 * -16) != (4 ** 2))) or (not not (not ((24 is divisible by 4.) or (A elephant has 8 legs.))))
B. not ((The chemical symbol for Zinc is Au.) and (((20 is divisible by 2.) and ((9 * 3 + -9 * -8) <= (5 ** 1) <= (-12 + -10))) and (n... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 63038209,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 给定以下布尔表达式：
A. not (not (((((铬的化学符号是Cr。) or (钙的化学符号是Ca。)) or ((柏林墙倒塌发生在1989年。) or ((5 * 7 * -5 * -9) <= (6 - -2) <= (4 ** 2)))) or ((1984年奥运会在雅典举办。) or (金星是距离太阳第2近的行星。))) and ((-11 * 15) <= (-9 - -7) <= (-11 * -11)) and (((32 % 7) != (-14 - 10)) or ((9 * -1 * 6 * -5) >= (2 % 6)))))
B. not not ((((not not (墨西哥的货币是比索。)) ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 40371948,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. not (not (((((铬的化学符号是Cr。) or (钙的化学符号是Ca。)) or ((柏林墙倒塌发生在19... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not ((鲤鱼是鱼类。) and (((5 ** 1) <= (19 - -19) <= (5 ** 2)) or (1908年奥运会在东京举办。)))
B. not not (金星是距离太阳第8近的行星。)
C. ((-2 - 13) <= (13 % 9)) and (not ((11 + -19) > (-10 + 13)))
D. (第一部iPhone发布发生在2007年。) or ((第一次世界大战结束发生在1916年。) or (泰坦尼克号沉没发生在1902年。)) or ((钻石在常温下是固体。) and ((二氧化碳在常温下是气体。) or ((-16 + -9)... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 13077700,
"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 ((鲤鱼是鱼类。) and (((5 ** 1) <= (19 - -19) <= (5 **... |
logic-v2 | Analyze these boolean expressions:
A. not (Diamonds are made of carbon.)
B. The currency of India is the Rupee.
C. ((7 * 16) >= (-4 + -2)) or ((5 - 19) > (8 - -19))
D. (-8 * -7 * 1 * 2) <= (-16 - -16)
E. (not ((-17 + 0) >= (5 ** 3))) or (((-8 - 14) < (33 % 3) < (-6 * 17)) or (39 is divisible by 4.))
Which of these ev... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 98542256,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not (Diamonds are made of carbon.)\nB.... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (not not ((-1 * 9 - -5 * -1) == (-1 - -18)))) or (not (((铁在常温下是固体。) and (2012年奥运会在莫斯科举办。)) and (((6 - -15) <= (-5 * 13) <= (28 % 1)) and (721是斐波那契数。))))
B. ((not not (海王星是距离太阳第8近的行星。)) or (汞在常温下是液体。)) and (not not ((美国的货币是谢克尔。) and ((酒精在常温下是液体。) and ((-5 * -10 * -6 * -6) < (2 ** 2)))))
C. (((金星是... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 70903491,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (not not (not not ((-1 * 9 - -5 * -1) == (-1 - -18)))) or (not (((... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (((9 + -17) >= (10 * -5)) or ((硫的化学符号是S。) or (1964年奥运会在东京举办。)))
B. ((((-8 + -1) > (5 * -15)) and (埃及位于非洲。)) or ((地球绕太阳运转。) and ((2 * -9 * -5 * 5) == (4 ** 2)))) or (not not (声音在真空中传播更快。)) or (((-9 * -3 + -3 * -9) == (-15 * 11)) and ((三文鱼是鱼类。) and ((3 * 10 - 9 * 8) < (-4 * 9 + -4 * 1) <... | {
"game_data": {
"answer": "A,B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 50609056,
"true_count": 6
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not (((9 + -17) >= (10 * -5)) or ((硫的化学符号... |
logic-v2 | 给定以下布尔表达式：
A. ((not (not (1996年奥运会在柏林举办。))) or (((not not (第一次世界大战开始发生在1916年。)) and ((1972年奥运会在慕尼黑举办。) or (现代奥运会首届举办发生在1896年。))) and ((美国宣布独立发生在1775年。) or ((3 ** 3) > (-6 * -4 - -7 * -3))) and ((4 * -2 - -5 * 5) <= (9 * 3 * -2 * 5)))) and (((((氯的化学符号是Cl。) or (月球自己发光。)) and (not not (巴西位于南美洲。))) or (not (((-20 * -18) <... | {
"game_data": {
"answer": "C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 2419797,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((not (not (1996年奥运会在柏林举办。))) or (((not not (第一次世界大战开始发生在1916年。... |
logic-v2 | Examine these expressions:
A. (((-12 * -4) > (17 + 19)) and (The capital of Norway is Oslo.)) or (((2 * -9) < (20 % 10)) or ((18 + -5) == (-7 * 0 * 0 * 2)))
B. There are 30 days in September.
C. (not ((-2 + 0) >= (20 + 13))) and ((-4 * 16) <= (15 * -13))
Which ones are true? List the labels of all true options in \bo... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 68165235,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (((-12 * -4) > (17 + 19)) and (The capital of No... |
logic-v2 | 给定以下布尔表达式：
A. (not (((氦的化学符号是P。) or (((蜻蜓是昆虫。) and ((3 ** 1) <= (-20 * 15))) and (not (第一次世界大战结束发生在1917年。)))) and (not not ((-8 * -3 - 10 * 1) < (0 * -10) < (6 + -5))))) or ((((((氯的化学符号是Cl。) and (水在海平面上的沸点是100摄氏度。)) and (声音在真空中传播更快。)) or ((41 % 1) == (18 * -20))) or (not ((第一次世界大战开始发生在1914年。) or (not not ((15 + -13) !... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 99358223,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not (((氦的化学符号是P。) or (((蜻蜓是昆虫。) and ((3 ** 1) <= (-20 * 15))) a... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (not not ((-19 * 19) != (5 ** 1)))) and (((((The Earth revolves around the Sun.) or ((3 ** 3) < (-9 + -6))) and (Humans have three lungs.)) or (((-14 - -7) > (-1 - 20)) and (A duck is a bird.)) or (not ((The 1968 Olympics were he... | {
"game_data": {
"answer": "A,B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 58900900,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are tru... |
logic-v2 | Consider the following logical expressions:
A. (Water boils at 100 degrees Celsius at sea level.) or ((The square root of 196 is 14.) and (((7 - 12) != (0 * -18)) or ((-3 - -20) == (-2 - 1))))
B. (not (not ((11 + -14) == (12 % 4)))) or (not (The first airplane flight by the Wright Brothers occurred in 1903.))
C. not n... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 36525540,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (Water boils at 100 degrees C... |
logic-v2 | 检验这些表达式：
A. not not (1913年是闰年。)
B. not ((not not (第二次世界大战开始发生在1939年。)) or (285是完全平方数。))
C. (not ((罗马尼亚的首都是巴黎。) or ((12 - 11) > (6 * 1)))) and ((((8 + -20) <= (49 % 9)) or ((-7 - -4) < (-4 * -3 - -8 * -4))) or ((2024年奥运会在首尔举办。) or (蝙蝠是瞎的。)))
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 75170344,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not (1913年是闰年。)\nB. not ((not not (第二次世界大战开始发生在1939年。)) or (285是... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not ((((5 - 18) <= (1 ** 3)) or (not (33能被12整除。))) and (韩国的货币是里亚尔。) and ((((10 * 0 - 4 * -1) > (-11 - 6)) or (十一月有31天。)) or ((壁虎是鱼类。) or (法国大革命开始发生在1790年。))))
B. ((铁在常温下是固体。) and (苏联解体发生在1990年。)) and ((((16 - -13) <= (-8 * -8 * -1 * -8) <= (-9 * 16)) or (not not ((1 * 19) > (-19 + -8)))) and (... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 87835888,
"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. not ((((5 - 18) <= (1 ** 3)) or (not (33能被12整除。))... |
logic-v2 | 评估以下每个表达式：
A. not ((not (not (孔雀是鱼类。))) or ((-1 * -20) == (-9 * -8 * 6 * -8)))
B. (((not (土星是距离太阳第3近的行星。)) and (加拿大位于欧洲。)) or (尼日利亚的货币是欧元。)) or (土星是距离太阳第3近的行星。) or (((1900年奥运会在巴黎举办。) or (((-10 * 5) < (-17 * 7)) or ((-8 - 19) < (-14 - -13)))) and (中国长城是在一年内建成的。))
C. not not ((((人类首次登月发生在1970年。) and ((-20 - 5) < (3 ** 2... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 73401248,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((not (not (孔雀是鱼类。))) or ((-1 * -20) == (-9 * -8 * 6 * -8)))... |
logic-v2 | Analyze these boolean expressions:
A. (-3 * -1 * 2 * 0) == (-1 * 2 * 6 * 8)
B. (The currency of United States is the Dollar.) or ((The capital of Chile is Ottawa.) and (The capital of Norway is Copenhagen.))
C. The first iPhone was released occurred in 2005.
D. (10 * 5 - -6 * -4) < (14 * 11) < (7 + 8)
E. (11 % 1) != (... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 19365270,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (-3 * -1 * 2 * 0) == (-1 * 2 * 6 * 8)\... |
logic-v2 | Given the following boolean expressions:
A. ((not not (((-11 - 11) <= (20 * 3) <= (34 % 3)) and ((15 % 3) == (-7 * -7)))) and ((not not (The 1960 Olympics were held in Beijing.)) and ((18 is a prime number.) or (The currency of India is the Rupee.)))) or ((((-2 + -1) <= (-7 - 19) <= (4 + 5)) and (The chemical symbol f... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 4841298,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. ((not not (((-11 - 11) <= (20 * 3... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not ((人类有三个肺。) and ((-15 * -4) == (5 ** 2)))) or (((5 - -3) == (-9 + -9)) and ((not not (马来西亚的货币是林吉特。)) and (not not ((-4 * -5 - 3 * 9) == (4 ** 1)))))
B. ((人类每只手有五个手指。) and ((72大于45。) or (1905年是闰年。)) and ((((-8 - -11) != (-10 + -2)) or (碳的化学符号是C。)) or (((-1 + 8) != (-9 - -3)) and ((7 + -1) != (-2... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 16520544,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not ((人类有三个肺。) and ((-15 * -4) == (5 ** 2)))) or (((5 - -... |
logic-v2 | 分析以下逻辑表达式：
A. ((((6 * 6) <= (-9 * 0 - 7 * -1) <= (16 * 17)) and (not not ((5 ** 2) == (2 * 3)))) or (not (地球绕太阳运转。)) or ((((埃及的首都是惠灵顿。) or (硫的化学符号是Ni。)) or (not (伦敦大火发生在1661年。))) or ((not not ((3 - -5) <= (-9 + -7))) or (((3 ** 2) > (2 ** 3)) or (金星是距离太阳第2近的行星。))))) and ((锡的化学符号是Sn。) and (中国的货币是新加坡元。)) and (not not ((... | {
"game_data": {
"answer": "C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 81483087,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((((6 * 6) <= (-9 * 0 - 7 * -1) <= (16 * 17)) and (not not (... |
logic-v2 | Review these logical expressions:
A. not not (not (not (((not not (Saturn is the 8th planet from the Sun.)) and ((1918 is a leap year.) or (The currency of Malaysia is the Ringgit.))) and (not not (not (The human body has 150 bones.))))))
B. not (not not ((not not (Alcohol is a liquid at room temperature.)) and (not (... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 31674912,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not not (not (not (((not not (Saturn is t... |
logic-v2 | 审视以下逻辑表达式：
A. (not not (not (not not (not (((-5 + 19) != (10 * 2 * 4 * 0)) or (金星是距离太阳第2近的行星。)))))) or (not not ((((-9 + 8) <= (-16 + -8)) and ((((-8 - -6) != (7 * -2 + -3 * -5)) or (二月有29天。)) or (not not (人类首次登月发生在1964年。)))) or (((not not ((13 - 16) < (4 ** 1))) and (not not (49的平方根是7。))) and (土星是距离太阳第6近的行星。) and ((n... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 29835365,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. (not not (not (not not (not (((-5 + 19) != (10 * 2 * 4 * 0... |
logic-v2 | Examine these expressions:
A. (((not ((-7 * 7 * -1 * 2) != (-15 - 4))) or (not (not not ((16 + 4) > (-11 + 3))))) and ((Uranus is the 7th planet from the Sun.) and (not (not ((-14 - -11) == (-14 * 11)))))) or (not not (not (not ((Saturn is the 6th planet from the Sun.) and ((0 * 0 - 1 * -6) <= (18 * 14))))))
B. not (n... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 9820468,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (((not ((-7 * 7 * -1 * 2) != (-15 - 4))) or (no... |
logic-v2 | 评估以下每个表达式：
A. ((-4 * 2 + 0 * -6) <= (4 * 6 - 2 * 8)) or (840是斐波那契数。) or ((17 * 8) > (-12 - -11))
B. (not not ((15 + -3) >= (16 - 15))) or (马来西亚的货币是林吉特。)
C. not (not not (28是奇数。))
D. not not ((50能被9整除。) and (秘鲁的货币是比索。))
列出所有值为 True 的选项，在 \boxed{} 中用逗号分隔。 | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 49274700,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. ((-4 * 2 + 0 * -6) <= (4 * 6 - 2 * 8)) or (840是斐波那契数。) or ((17... |
logic-v2 | Examine these expressions:
A. (-8 + 5) < (10 * 10 + -2 * 3) < (-3 - 20)
B. not not (((-8 - 19) >= (-6 - -14)) or (The 1896 Olympics were held in London.))
C. not not (not (There are 28 days in October.))
D. (not not (The currency of Japan is the Yen.)) and ((Uranus is the 8th planet from the Sun.) and ((1 ** 1) != (35... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 1635156,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (-8 + 5) < (10 * 10 + -2 * 3) < (-3 - 20)\nB. not... |
logic-v2 | Study the following logical statements:
A. (not ((not (((8 * -18) <= (13 % 6) <= (1 * 8 + -5 * -6)) and (not ((-4 + 15) < (20 - 7) < (4 * 8 - -5 * -1))))) or (not not ((not ((30 % 5) != (5 ** 1))) and ((-10 + -18) < (17 - 3) < (5 * 1 - -6 * -3)))))) and (not (not not (not not ((((11 - -7) <= (28 % 10)) or ((8 - -6) !=... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 31010497,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not ((not (((8 * -18) <= (13 % 6) <=... |
logic-v2 | Given the following boolean expressions:
A. not (((3 ** 1) <= (-17 * 5)) and (not (A fly is an insect.)) and (The currency of Canada is the Dollar.))
B. not not (((Neptune is the 8th planet from the Sun.) or ((A snake has 0 legs.) or (195 is an odd number.))) or (The 1964 Olympics were held in Los Angeles.))
C. not ((... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 79691063,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. not (((3 ** 1) <= (-17 * 5))... |
logic-v2 | 评估以下每个表达式：
A. ((((铂的化学符号是Pt。) or (not (1942年是闰年。))) or (not (哥伦布到达美洲发生在1490年。)) or ((((2 + 3) == (-1 * -4)) or ((10 * 9 - -9 * 4) >= (-10 + 17))) and ((第一部iPhone发布发生在2007年。) or (八月有31天。)))) or ((金在常温下是固体。) or ((not not ((18 * -1) < (4 - -17))) and ((秘鲁的货币是卢布。) and (油在常温下是液体。))))) and (not not ((not (not (菲律宾的货币是比索。)))... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 80943931,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. ((((铂的化学符号是Pt。) or (not (1942年是闰年。))) or (not (哥伦布到达美洲发生在1490年... |
logic-v2 | Review these logical expressions:
A. not (((There are 30 days in November.) and ((-6 - -3) >= (-3 * 18))) and ((Mercury is the 4th planet from the Sun.) or ((8 * 7) <= (-17 + -3))))
B. not (((Uranus is the 6th planet from the Sun.) and ((22 % 3) < (-6 * 2 + -10 * -10))) and ((Carbon dioxide is a gas at room temperatur... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 12314015,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not (((There are 30 days in November.... |
logic-v2 | 检验这些表达式：
A. (((波兰的货币是兹罗提。) or ((7 - 20) <= (6 * 1 + -4 * 5))) or ((18 * 7) < (19 * 11))) or ((((6 * -17) >= (0 * -9 * 10 * -9)) and (1924年奥运会在北京举办。)) or ((氮的化学符号是Ni。) and ((4 ** 2) <= (-6 * 3 * -10 * -5))))
B. (((-20 * 16) <= (6 + 3)) or ((31 % 1) == (-1 * -6 + 7 * 0))) and ((乌克兰的首都是基辅。) and ((-5 * 3 - 7 * -7) <= (3 *... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 20265494,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (((波兰的货币是兹罗提。) or ((7 - 20) <= (6 * 1 + -4 * 5))) or ((18 * 7) <... |
logic-v2 | Below are several boolean expressions:
A. (not not (not not ((19 * 8) < (0 * -4 + 5 * -5) < (-17 + 5)))) or (not (not ((-10 + 8) > (0 + -11))))
B. ((((5 ** 2) >= (-19 - -15)) or ((12 % 5) == (7 * 5))) or (Oxygen is necessary for human survival.)) or ((193 is a perfect square.) or (Mars is the 4th planet from the Sun.)... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 57974756,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. (not not (not not ((19 * 8) < ... |
logic-v2 | Given the following boolean expressions:
A. not not (not not (((((-9 + -7) == (40 % 4)) and (The 1956 Olympics were held in Melbourne.)) or (not ((8 * 7 + 4 * 7) == (36 % 4)))) and (not not (not not (Water is a solid at room temperature.)))))
B. A day on Earth is 24 hours.
C. not (not not (not ((Uranus is the 7th plan... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 92377532,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not not (not not (((((-9 + -7) == (4... |
logic-v2 | 下面是几个布尔表达式：
A. (((氦气在常温下是气体。) and ((木头在常温下是固体。) or (美国宣布独立发生在1776年。)) and (((40 % 8) == (42 % 10)) or ((火星是距离太阳最近的行星。) and ((4 ** 3) != (4 ** 2))))) or (((-1 * 0) >= (-20 * -8)) or (not not (现代奥运会首届举办发生在1896年。)) or (not (((-16 + -10) >= (0 - 6)) or ((17 - -19) < (-6 * -11)))))) and ((((-5 - -7) < (5 * -15)) or (not no... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 64115204,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (((氦气在常温下是气体。) and ((木头在常温下是固体。) or (美国宣布独立发生在1776年。)) and (((4... |
logic-v2 | 给定以下布尔表达式：
A. not (not not (((-12 - -15) <= (10 % 1)) or (太平洋是最大的海洋。)))
B. not not ((1969年是闰年。) and ((1912年奥运会在墨西哥城举办。) and ((4 + -9) > (0 + 4))))
C. ((-7 * -8) != (3 + 8)) and (not (银在常温下是气体。))
D. (埃及的货币是克朗。) or (not ((20 - 1) <= (10 * -1 * -10 * -4) <= (-12 - 5)))
E. ((((3 * 6 + -7 * -4) < (11 % 6)) and (加拿大位于北美洲。))... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 9302891,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not (not not (((-12 - -15) <= (10 % 1)) or (太平洋是最大的海洋。)))\nB. not... |
logic-v2 | 研究以下逻辑语句：
A. not not (((8 - 2) == (42 % 7)) and (二月有28天。))
B. (-2 * -1 * 10 * -3) < (-9 + 16) < (3 * 1 - 7 * 4)
C. 地球绕太阳运转。
D. ((-9 * -1 + -9 * -9) < (1 % 8)) and (((-4 - -15) == (13 + 19)) or (苏联解体发生在1996年。))
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": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 81051645,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not not (((8 - 2) == (42 % 7)) and (二月有28天。))\nB. (-2 * -1 * 10 * -... |
logic-v2 | Study the following logical statements:
A. Diamonds are made of carbon.
B. (The 1972 Olympics were held in London.) or (not not ((Chile is in North America.) and ((19 * 11) == (-14 + -15))))
C. ((((22 % 1) >= (10 * -3 + 1 * 10)) or ((-9 * 11) <= (5 * 16))) and ((Penguins can fly.) and ((-1 - -9) == (47 % 4)))) or ((Co... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 14812122,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. Diamonds are made of carbon.\nB. (The... |
logic-v2 | 下面是几个布尔表达式：
A. ((((-15 - 3) <= (-3 + -11)) or ((地球上一天是24小时。) and ((-3 * -3 + 6 * 4) < (-12 + 5) < (13 % 7)))) and (冰的密度比液态水小。)) and (印度的货币是里亚尔。) and (((金枪鱼是鱼类。) or (not (螃蟹有8条腿。))) or (((1992年奥运会在巴塞罗那举办。) or (金的化学符号是Au。)) and (not (美国宣布独立发生在1776年。))))
B. (not not (((2 - 11) > (20 - -18)) and (not not (马有4条腿。)))) or ((... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 4275079,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((((-15 - 3) <= (-3 + -11)) or ((地球上一天是24小时。) and ((-3 * -3 ... |
logic-v2 | 评估以下每个表达式：
A. not not (not not ((龙虾有8条腿。) and ((-18 * 10) <= (13 - 19))))
B. ((((16 * 4) <= (16 % 7)) or ((-5 * 8 - -4 * 0) < (-2 - 7))) or ((人体有150块骨头。) and (泰国位于南极洲。))) and (85能被2整除。)
C. ((((15 + 7) != (10 * -1 * 5 * 4)) and (南非的货币是克朗。)) and ((德国位于欧洲。) and ((-5 * 14) <= (2 ** 2)))) and ((not (83是质数。)) and (((2 ** 1)... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 19747937,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not (not not ((龙虾有8条腿。) and ((-18 * 10) <= (13 - 19))))\nB. ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (3 ** 3) <= (-5 + -20) <= (-4 + 10)
B. (15 + -11) != (-2 + 12)
C. not not ((The chemical symbol for Tin is Sn.) or (33 is a prime number.))
D. ((Steam is a liquid at room temperature.) or ((-1 * 6) <= (4 * 2 * 1 * -10))) and (not not (The capital of Mexico is Brasilia.... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 43509340,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (3 ** 3) <= (-5 + -20) <= ... |
logic-v2 | Analyze these boolean expressions:
A. (not ((not (not (A fish has 0 legs.))) or (((10 - 18) >= (-20 - -17)) and (The currency of Singapore is the Dollar.)) or (((Sharks are mammals.) and ((47 % 9) != (18 * 11))) or ((6 - 1) > (-7 * -3 + 3 * 6))))) and (not ((Lightning never strikes the same place twice.) and ((The che... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 40040424,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (not ((not (not (A fish has 0 legs.)))... |
logic-v2 | 下面是几个布尔表达式：
A. (((-17 + 20) < (-6 * -8)) or ((-6 + -6) <= (17 - -14))) or (牛有4条腿。)
B. not (not (墨西哥的货币是卢布。))
C. 1976年奥运会在蒙特利尔举办。
D. not (4的平方根是4。)
E. not (not (十月有31天。))
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": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 58255211,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (((-17 + 20) < (-6 * -8)) or ((-6 + -6) <= (17 - -14))) or ... |
logic-v2 | Study the following logical statements:
A. not not ((((5 + -3) > (-3 + 6)) or ((10 * 4 + 6 * -4) < (1 + 15))) or ((-17 * 6) >= (14 + -11)))
B. not ((5 * 8) <= (6 % 5))
C. (not (17 is less than or equal to 99.)) and (((Carbon dioxide is a gas at room temperature.) or (A parrot is a reptile.)) and ((-20 + 12) != (-11 * ... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 59354111,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not ((((5 + -3) > (-3 + 6)) o... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (19 % 4) == (16 + 9)
B. 太平洋是最大的海洋。
C. not ((爱尔兰的首都是哥本哈根。) or (人类首次登月发生在1969年。))
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": 2,
"language": "cn",
"num_options": 3,
"seed": 16698932,
"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. (19 % 4) == (16 + 9)\nB. 太平洋是最大的海洋。\nC. not ((爱尔兰的首都是哥本... |
logic-v2 | Study the following logical statements:
A. (43 % 9) > (-10 * -4)
B. (not not (31 is a prime number.)) or (Earth is the 2nd planet from the Sun.)
C. The capital of France is Paris.
D. Mars is the 4th planet from the Sun.
E. not (1930 is a leap year.)
Which statements are true? Put all true option labels in \boxed{}, s... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 76320087,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. (43 % 9) > (-10 * -4)\nB. (not ... |
logic-v2 | 给定以下布尔表达式：
A. 捷克的货币是克朗。
B. (((-7 - 3) <= (-7 - -6)) or ((8 * 7 + -9 * -10) != (1 * -6 - -2 * -9))) or ((钙的化学符号是H。) and (1984年奥运会在东京举办。))
C. (((22 % 10) <= (20 - -7) <= (0 * -8)) and (十一月有30天。)) and ((一月有31天。) and ((2 + -12) <= (8 * 5 * -1 * 1) <= (19 - 15)))
D. ((中国的货币是人民币。) and (美国位于非洲。)) and (木星是距离太阳第5近的行星。)
E. (not... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 2144792,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. 捷克的货币是克朗。\nB. (((-7 - 3) <= (-7 - -6)) or ((8 * 7 + -9 * -10) !... |
logic-v2 | Analyze these boolean expressions:
A. ((Diamonds are made of carbon.) and (not ((-10 * -3 + 0 * 5) <= (-3 * -7 * -7 * 10)))) and (not not ((not (A goldfish is a reptile.)) or (not not (84 is divisible by 11.))))
B. ((not not ((7 * 6 * -10 * -1) <= (5 % 5))) or ((((1 ** 3) < (-7 + 9) < (-5 * 10 * -1 * -7)) or (France i... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 40868281,
"true_count": 7
},
"question": "Analyze these boolean expressions:\n\nA. ((Diamonds are made of carbon.... |
logic-v2 | 审视以下逻辑表达式：
A. (not (not (not (not ((-20 * 5) < (12 * -19)))))) or (not not (not (((-4 * -6 - 10 * 1) >= (13 + 8)) or ((not ((6 - 4) == (43 % 8))) or ((3 ** 2) == (6 + 15))))))
B. 月球绕地球运转。
C. not ((not (((not not (泰坦尼克号沉没发生在1912年。)) or ((-14 - 11) > (-10 + 4))) and ((15 % 8) == (8 + -18)))) or ((not not (哥伦比亚的货币是比索。)) ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 11613648,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (not (not (not (not ((-20 * 5) < (12 * -19)))))) or (not not (not ... |
logic-v2 | Study the following logical statements:
A. not not (((-10 - -8) >= (1 * 10 + -8 * -1)) or (The 1988 Olympics were held in Los Angeles.))
B. World War I began occurred in 1914.
C. ((Penguins can fly.) and (63 is divisible by 12.)) or (((-5 + 11) <= (19 + -12)) or (The currency of Poland is the Zloty.))
D. ((The chemica... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 29861019,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not not (((-10 - -8) >= (1 * 10 +... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((1 * -3 + 9 * -8) > (19 + 20)) and (土星是距离太阳第8近的行星。)) and ((not ((-8 * -10 - 2 * 5) == (5 * -3 - -6 * -4))) or (((14 * 0) < (-2 * -9)) and ((铬的化学符号是Cr。) or ((10 * -7 * -7 * 7) > (15 * 1)))))
B. (not not (not (not (欧盟的货币是美元。)))) and (((11 * -13) <= (9 - 0)) and ((((1 ** 2) == (-16 * 14)) or (月球自己发光... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 65229814,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((1 * -3 + 9 * -8) > (19 + 20)) and (土星是距离太阳第8近的行星。)) and... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (not (not (((-9 * -6 * -5 * -6) < (13 * 8) < (3 ** 1)) or (53 is less than or equal to 87.))))) or (((((The currency of Brazil is the Euro.) and ((1 % 10) != (29 % 9))) and ((Jupiter is the 3rd planet from the Sun.) and (A alligator is an insect.))) or (not (n... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 67945693,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (not (not (((-9 *... |
logic-v2 | 评估以下每个表达式：
A. (not (((-17 * 11) <= (36 % 4)) and ((-1 * -15) > (2 % 6)))) or ((13 * -13) == (-1 * -10 + 1 * 0))
B. (not not (not ((12 - -2) >= (-5 - -7)))) and ((((4 ** 2) <= (5 ** 1)) or ((-11 - 11) == (-1 - 16))) and ((莱特兄弟首次飞行发生在1903年。) and (地球是距离太阳第3近的行星。)))
C. 光速比声速快。
D. ((4 * -2 - -10 * 8) == (-4 + -3)) and (((7... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 50943378,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (not (((-17 * 11) <= (36 % 4)) and ((-1 * -15) > (2 % 6)))) or ((1... |
logic-v2 | Given the following boolean expressions:
A. (not not (not not (((There are 31 days in December.) or ((-2 * -11) != (19 * -1))) and (not (7 is a perfect square.))))) and (((((There are 29 days in May.) or (Earth is the 3rd planet from the Sun.)) and (not not (There are 31 days in May.))) and ((not not ((-10 * -7 * 7 * ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 58944940,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (not not (not not (((There are 31 da... |
logic-v2 | 下面是几个布尔表达式：
A. (not (not not (声音在真空中传播更快。))) or (袋鼠有2条腿。) or (not (((-2 + 18) <= (17 + -17)) or ((5 ** 2) != (4 * -8 + 10 * 0))))
B. not ((not not ((-6 * 0) > (1 * 7 - 9 * 4))) or (((40 % 3) == (2 * -16)) and ((-20 + -17) > (6 * -6))))
C. (鸡有2条腿。) or (48是质数。) or (not ((莱特兄弟首次飞行发生在1903年。) and ((-5 - -20) == (6 * -7 - -... | {
"game_data": {
"answer": "A,C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 60493595,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (not (not not (声音在真空中传播更快。))) or (袋鼠有2条腿。) or (not (((-2 + ... |
logic-v2 | Review these logical expressions:
A. (not (((-8 * 3 - -8 * -4) > (5 - 10)) and (((20 * 6) <= (-10 + -5)) or (The capital of Saudi Arabia is Riyadh.)) and (Uranus is the 7th planet from the Sun.))) and (not not (((-3 * -5 + 9 * -5) > (15 % 2)) or (Iron is a solid at room temperature.))) and ((not not ((not not (Uranus ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 3296833,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not (((-8 * 3 - -8 * -4) > (5 - 10)) and ... |
logic-v2 | Below are several boolean expressions:
A. not (not (((not not ((The 1932 Olympics were held in Paris.) and (The 1920 Olympics were held in Antwerp.))) and ((4 ** 2) >= (-16 * 1))) or ((((The currency of Singapore is the Won.) and (There are 31 days in July.)) or (not ((-17 - -16) == (-7 * -6 * 5 * 0)))) or ((not (41 i... | {
"game_data": {
"answer": "A,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 72744442,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. not (not (((not not ((The 1932... |
logic-v2 | 审视以下逻辑表达式：
A. 菲律宾的货币是新西兰元。
B. (not (牛有10条腿。)) or ((蝙蝠是哺乳动物。) and ((43 % 10) == (12 - 18)))
C. not not ((声音在真空中传播更快。) and (韩国的货币是韩元。))
D. (not not ((-1 * 5 + -6 * 8) != (5 + -10))) or (((30 % 4) <= (-17 + -6)) or (西班牙位于欧洲。))
E. (not ((6 - -11) > (-1 * 8))) and ((蝴蝶有4条腿。) or (1924年奥运会在巴黎举办。))
F. 2053年是闰年。
G. 马有4条腿。
哪些表... | {
"game_data": {
"answer": "B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 28487766,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. 菲律宾的货币是新西兰元。\nB. (not (牛有10条腿。)) or ((蝙蝠是哺乳动物。) and ((43 % 10)... |
logic-v2 | Study the following logical statements:
A. (not not (((A kangaroo has 2 legs.) or (Ice is less dense than liquid water.)) or (((43 % 9) <= (7 % 9)) or ((-2 - 3) < (19 - -1) < (13 * 7))))) and (((20 - 18) > (4 * -7 - 7 * -4)) or ((-13 - 8) != (5 % 6)))
B. (((not (92 is a prime number.)) or ((The currency of Singapore i... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 70543329,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (not not (((A kangaroo has 2 legs... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((((Germany is in Europe.) or (((-17 * 3) != (-6 + 4)) and (A horse has 0 legs.))) or ((-19 * 12) >= (31 % 6))) and ((not not (not ((-3 * 9 + -5 * -7) == (-1 * 10)))) and ((not ((-6 * -5 * -8 * -10) > (3 ** 2))) and (not not (68 is a... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 79189828,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 检验这些表达式：
A. not not (not not (((not not (not not (尼日利亚的货币是奈拉。))) or (not not ((17 - -18) >= (4 ** 3))) or (((7 * -4 * 0 * -9) < (5 * -9 * 8 * 6)) or ((西班牙位于欧洲。) and ((1 ** 2) < (2 + 17))))) and (((-1 + 5) <= (-10 + 14) <= (5 ** 3)) and (法国大革命开始发生在1789年。))))
B. (not not ((((not (99能被3整除。)) or (((3 - -20) > (19 * 6)) or... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 7667340,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not (not not (((not not (not not (尼日利亚的货币是奈拉。))) or (not not ((17... |
logic-v2 | Evaluate each expression below:
A. not not (not (((The capital of Romania is Havana.) and (((5 * 8) < (-16 * 18)) or ((13 * -8) < (-5 * 19)))) or (The 1972 Olympics were held in Munich.) or (not not ((((-14 + 7) > (-11 + -11)) or (A cockroach is an insect.)) or (not not ((12 - -14) >= (5 * 14)))))))
B. not not ((not n... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 10862119,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not not (not (((The capital of Romania is H... |
logic-v2 | Review these logical expressions:
A. not not (not not (not not (not (((The Moon orbits the Earth.) and (2040 is a leap year.)) and (not (The currency of Saudi Arabia is the Riyal.))))))
B. not not (((not (not (93 is divisible by 4.))) or (not not ((((-7 * -15) >= (1 ** 2)) or (A cat is a mammal.)) or ((14 + 20) == (20... | {
"game_data": {
"answer": "A,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 41819032,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not not (not not (not not (not (((The... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((-20 * 19) < (24 % 8)) or (not ((The currency of Sweden is the Peso.) or ((17 + -19) <= (2 ** 2))))) and ((The chemical symbol for Platinum is Pt.) and (((Neptune is the 4th planet from the Sun.) or (Carbon dioxide is a gas at room temperature.)) or ((23 % 8) == (-6 ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 30249576,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((-20 * 19) < (24 % 8)) o... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not (((not (not not ((-7 - -7) != (10 - 17)))) and (not not ((7 - -4) == (1 ** 3))) and (((-6 + -15) != (20 - 14)) and (The 1956 Olympics were held in Melbourne.))) or ((Egypt is in Asia.) or (((The chemical symbol for Hydrogen is H.... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 70987178,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Examine these expressions:
A. (not not (not ((((6 * -9 + 8 * 7) == (-3 - 4)) and (Oxygen is a solid at room temperature.)) and (((-5 - 16) != (-1 * 7 * 5 * 10)) and ((-18 - 4) != (6 - 10)))))) or (not not ((((20 % 1) == (6 % 7)) or (A bear is a mammal.)) and (The human body has 150 bones.))) or (not (((-1 * -19) >= (4... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 80757051,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (not not (not ((((6 * -9 + 8 * 7) == (-3 - 4... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((not not (not not (not (((7 * 6 * 1 * 0) == (-14 - 9)) and ((4 % 2) <= (-3 * -4 - -3 * 2)))))) or ((not not ((30 % 10) < (3 ** 2))) and (1989 is a leap year.) and (((7 * 2) != (5 + -19)) and (((-4 * -18) <= (7 * -5 * 3 * -3)) and (Th... | {
"game_data": {
"answer": "B,C,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 197152,
"true_count": 5
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Analyze these boolean expressions:
A. not not (not (613 is a Fibonacci number.))
B. ((8 * -1 * -8 * 1) <= (-4 * 6 - -6 * 10)) and (not not (The capital of Nigeria is Warsaw.))
C. not (((-1 * -15) < (2 + -6) < (3 ** 3)) and ((Canada is in Asia.) or (204 is a perfect square.)))
D. (((1939 is a leap year.) and ((-10 + 0)... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 78129871,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not (not (613 is a Fibonacci number.... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (((not (There are 30 days in September.)) or ((((-3 - -18) != (9 - -12)) and (The capital of Indonesia is Seoul.)) and ((The chemical symbol for Cobalt is Co.) or ((-7 * -3 * 2 * -5) < (-5 - -7)))) or (not not (The capital of Mexi... | {
"game_data": {
"answer": "F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 76250532,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((not not (尼日利亚的首都是堪培拉。)) or (not (1973年是闰年。))) and ((((6 - -7) < (4 + 2)) or (2008年是闰年。)) or (((8 * -20) >= (3 ** 2)) and (673是斐波那契数。))))
B. not (not not ((13 + -5) >= (-8 - 16)))
C. not ((not not ((鸟有2条腿。) and ((4 % 5) < (2 ** 3)))) or (not not ((10 * -11) <= (-14 * 1))) or ((((3 ** 3) < (1 % ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 98267552,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not (((not not (尼日利亚的首都是堪培拉。)) or (not (1973年是闰年。))) and (((... |
logic-v2 | 评估以下每个表达式：
A. not not (not not (((法国大革命开始发生在1799年。) or ((30 % 9) != (2 ** 2))) or (not ((氦气在常温下是气体。) or ((菲律宾的货币是埃及镑。) and ((-12 - 16) >= (11 + 13)))))))
B. not (not not (not not ((((地球是距离太阳第3近的行星。) and (144的平方根是12。)) and ((-5 * 3 * -7 * 2) >= (2 * 8 + 1 * -6))) or (not (氧气在常温下是液体。)))))
C. not ((((((银的化学符号是He。) and ((... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 68911036,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not not (not not (((法国大革命开始发生在1799年。) or ((30 % 9) != (2 ** ... |
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