env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 下面是几个布尔表达式：
A. ((not not (((钻石在常温下是固体。) and ((-14 + -17) <= (8 + -11))) and (十一月有30天。))) and ((((11 * 6) >= (1 - -9)) or (27能被12整除。)) and (人类只使用了大脑的10%。)) and (((智利的首都是圣地亚哥。) or ((1992年奥运会在巴塞罗那举办。) or (新加坡的货币是克朗。))) and (not (土耳其的首都是安卡拉。)) and ((((15 - -2) == (16 % 8)) or (人体有150块骨头。)) or ((狗有6条腿。) or (17能被12整除。))))) ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 3866343,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (((钻石在常温下是固体。) and ((-14 + -17) <= (8 + -11))) and (十一月有... |
logic-v2 | Consider the following logical expressions:
A. (((((-1 - 20) >= (-10 * -1 - 5 * -7)) or (The 1928 Olympics were held in Amsterdam.)) or ((-10 * -7 + 5 * -9) == (16 - 19))) or (not not ((48 % 4) < (26 % 5))) or (((Saudi Arabia is in Asia.) and (A cod is a reptile.)) or ((The capital of Nigeria is Bucharest.) or ((3 * 1... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 13394976,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (((((-1 - 20) >= (-10 * -1 - ... |
logic-v2 | Evaluate each expression below:
A. (not (not ((The capital of Denmark is Bucharest.) and ((11 * 13) <= (-9 - -8))))) or (not not ((not (((14 + -4) == (4 ** 2)) and (Earth is the 8th planet from the Sun.))) or (((The capital of Australia is Canberra.) or ((4 * -6 + 5 * -4) < (-11 + 13) < (19 - -7))) and (The chemical s... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 5478311,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. (not (not ((The capital of Denmark is Bu... |
logic-v2 | Evaluate each expression below:
A. ((not (((-13 - -2) > (5 ** 2)) and (Diamond is a liquid at room temperature.))) or (Saudi Arabia is in Asia.) or (not not (((-10 * 3 - 8 * -10) <= (9 * 4 * -5 * -5)) or (Penguins can fly.)))) or (not not (The capital of China is Beijing.))
B. (not (not not (not (A carp is a fish.))))... | {
"game_data": {
"answer": "A,B,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 60060770,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. ((not (((-13 - -2) > (5 ** 2)) and (Dia... |
logic-v2 | 研究以下逻辑语句：
A. (not not (not ((水在海平面上的沸点是100摄氏度。) or ((7 - 7) == (8 - 8))))) or (not not (((地球上一天是24小时。) or (法国大革命开始发生在1791年。)) or (not ((-2 - -16) >= (-20 * 16)))))
B. ((((18 + -14) != (-11 - -19)) and (not (金在常温下是气体。))) and ((47 % 2) >= (-15 * -19))) or (not not (((钴的化学符号是Co。) and (老虎是哺乳动物。)) or (((5 ** 3) != (-2 * 3)... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 97581709,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (not not (not ((水在海平面上的沸点是100摄氏度。) or ((7 - 7) == (8 - 8))))) or ... |
logic-v2 | 给定以下布尔表达式：
A. not not ((not (肯尼亚的首都是波哥大。)) or ((人类首次登月发生在1959年。) or (((-13 + 2) > (6 * 12)) and (鸡有2条腿。))))
B. not (((((-6 * 14) < (14 % 4) < (2 ** 3)) and ((-12 - 8) == (-8 * -9 + -6 * -1))) and (2024年奥运会在巴黎举办。)) or (波兰的首都是新德里。))
C. not not ((not (((15 + 0) >= (3 ** 3)) and (土星是距离太阳第6近的行星。))) and ((((14 - 0) != (4 **... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 24632340,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. not not ((not (肯尼亚的首都是波哥大。)) or ((人类首次登月发生在1959年。) or (((-13... |
logic-v2 | 评估以下每个表达式：
A. (铂的化学符号是C。) or ((10 * 6 * 4 * -3) > (-15 + 20))
B. not not ((美国宣布独立发生在1776年。) or ((9 - -18) > (4 * -4 * 9 * -5)))
C. not not ((锌的化学符号是Zn。) or ((44 % 1) >= (40 % 4)))
D. (((2 * -3 - 5 * 7) > (19 + -13)) or (埃及位于亚洲。)) and ((汞在常温下是液体。) or (苍蝇是哺乳动物。))
E. ((9 * 5 + 9 * 3) == (1 * -3 + 3 * 3)) or ((西班牙位于欧洲。) o... | {
"game_data": {
"answer": "B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 69612847,
"true_count": 5
},
"question": "评估以下每个表达式：\n\nA. (铂的化学符号是C。) or ((10 * 6 * 4 * -3) > (-15 + 20))\nB. not no... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not not ((火星是距离太阳第4近的行星。) and (银在常温下是固体。)))
B. not (((地球是距离太阳第3近的行星。) and ((-6 * -5 + -2 * 0) == (-15 + 10))) or (((17 % 8) < (2 * 16)) and ((-11 - 4) < (17 * -9))))
C. ((5 * -6 + -4 * -9) < (-20 + -7)) or (not (肯尼亚位于非洲。)) or (((-4 * 9 + 1 * -6) <= (-4 * 9)) and (not not (秘鲁的首都是利马。)))
D. (第一部iP... | {
"game_data": {
"answer": "A,B,C,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 73439178,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. not not (not not ((火星是距离太阳第4近的行星。) and (银在常温下是固体。)))\nB... |
logic-v2 | Below are several boolean expressions:
A. (not not ((7 * 3 - 0 * -2) <= (9 * 19))) and ((A snake has 0 legs.) or (The chemical symbol for Sulfur is Mn.))
B. ((The capital of Venezuela is Buenos Aires.) and (Venus is the 2nd planet from the Sun.)) or ((The 1948 Olympics were held in London.) and (2048 is a leap year.))... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 15397673,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. (not not ((7 * 3 - 0 * -2) <= (9... |
logic-v2 | Evaluate each expression below:
A. The chemical symbol for Silicon is Si.
B. not ((6 * -8 - 7 * -3) < (9 % 5) < (19 - 14))
C. ((-10 * 20) < (-6 - -17)) and (not not (Spain is in Europe.))
D. (-8 - 6) <= (-17 + -18) <= (-5 - 8)
E. (20 - 1) == (23 % 6)
F. not not ((-1 * -10 - -1 * -7) >= (-7 * -9 * -2 * 3))
G. ((The Sun... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 98697739,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. The chemical symbol for Silicon is Si.\... |
logic-v2 | Examine these expressions:
A. ((2 ** 1) >= (2 ** 2)) and ((Neptune is the 8th planet from the Sun.) or (Nitrogen is a gas at room temperature.)) and ((((16 + 14) != (1 ** 2)) or (Peru is in South America.)) or (((14 % 4) <= (-6 * -5)) and ((0 * -5 * 10 * -8) == (-2 * -6 - 10 * -9))))
B. (not (not ((13 * 1) > (17 + 19)... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 60087658,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. ((2 ** 1) >= (2 ** 2)) and ((Neptune is the 8th ... |
logic-v2 | Below are several boolean expressions:
A. not not ((((-18 - -18) != (-17 - -11)) and ((Steam is a liquid at room temperature.) or ((3 ** 1) < (46 % 7)))) and ((97 is divisible by 8.) and ((5 ** 3) < (2 ** 3)) and (((The human body has 206 bones.) or ((-11 + -2) > (-4 - 14))) or ((Morocco is in Africa.) or (Antarctica ... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 5940333,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not ((((-18 - -18) != (-17 - -1... |
logic-v2 | 研究以下逻辑语句：
A. not not (((not not ((1920年奥运会在安特卫普举办。) and ((13 + -2) < (-7 * -5)))) and (((9 * 5) > (-7 + 17)) or ((5 * -9 - -6 * 1) > (5 ** 1))) and ((((2 ** 1) < (11 * -17)) and ((34 % 7) < (-2 * 4 * -9 * 4) < (-4 * 7 + -1 * -1))) or (((0 * -10 + 0 * 2) <= (-2 * 2 + 4 * -4) <= (-19 + -9)) and (水在常温下是液体。)))) or ((not n... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 82251090,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not not (((not not ((1920年奥运会在安特卫普举办。) and ((13 + -2) < (-7 *... |
logic-v2 | Below are several boolean expressions:
A. ((not not ((Mercury is the 1st planet from the Sun.) and (A bird has 2 legs.))) or ((14 + 18) > (17 - -1))) or (((((4 ** 3) < (20 * -19)) and (A chameleon is a reptile.)) and (not not ((18 * -7) <= (3 * -5) <= (16 * -4)))) or (((-20 + -5) < (5 - -14)) or ((The 1980 Olympics we... | {
"game_data": {
"answer": "A,C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 11682664,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. ((not not ((Mercury is the 1st p... |
logic-v2 | 给定以下布尔表达式：
A. ((13 - 11) >= (11 + 19)) or (火星是距离太阳第2近的行星。)
B. (德国的首都是雅加达。) or (not not (not not (德国位于北美洲。)))
C. (not ((钻石在常温下是固体。) and ((8 * -10 * -2 * 2) < (-10 * -6 + -2 * -6)))) or (not (((-1 + -14) >= (-14 - -1)) and (加拿大的货币是美元。)))
D. not (not not ((墨西哥的货币是里亚尔。) and (天王星是距离太阳第7近的行星。)))
选出所有值为 True 的选项。在 \boxed{} ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 53818885,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((13 - 11) >= (11 + 19)) or (火星是距离太阳第2近的行星。)\nB. (德国的首都是雅加达。) or... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not (The currency of Israel is the Shekel.)) and ((There are 30 days in March.) or ((((4 - -7) == (2 ** 3)) or (There are 28 days in August.)) or (not not ((20 * -15) < (-12 * -11) < (0 + -1)))))
B. ((The 1984 Olympics were held in Moscow.) or (Neptune is the 8th plan... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 4993655,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not (The currency of Israel ... |
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 ((1948年奥运会在伦敦举办。) and (一月有31天。))))) or ((((20 + -5) >= (9 * -4 - 7 * -2)) and (((1896年奥运会在里约热内卢举办。) or ((-17 - 14) <= (9 - 3))) and (not (蝙蝠是瞎的。)))) or ((((哥伦布到达美洲发生在1487年。) or ((3 ** 2) > (13 * 12))) or ((沙特阿拉伯的首都是利雅得。) and (1968年奥运会在巴黎举办。))) or (not (((-7 - 14) < (8 * -5 +... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 74933586,
"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 ((1948年奥运会在伦敦举办。) and (一月有31天。))... |
logic-v2 | Examine these expressions:
A. ((not ((-18 + -2) > (2 ** 2))) and ((-19 * 15) <= (38 % 2) <= (5 % 4))) or (((1 ** 2) > (26 % 1)) or ((7 * 2 - -3 * 9) <= (-9 * 3 * 8 * -10))) or ((-10 * -7 * 0 * -6) > (-2 - -4))
B. not (98 is less than or equal to 47.)
C. not not ((1 * -2 - -10 * -9) < (18 + -15))
D. ((The chemical symb... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 45139666,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. ((not ((-18 + -2) > (2 ** 2))) and ((-19 * 1... |
logic-v2 | Examine these expressions:
A. The capital of Ireland is Dublin.
B. ((6 * 3 + 10 * -4) != (-3 * -6)) or ((Ice is less dense than liquid water.) or ((-3 + -10) == (-4 * -9)))
C. There are 31 days in May.
D. ((225 is a Fibonacci number.) or ((-7 - -2) >= (2 * -9 * 7 * -7))) and (Jupiter is the 5th planet from the Sun.)
E... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 35748107,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. The capital of Ireland is Dublin.\nB. ((6 * ... |
logic-v2 | 审视以下逻辑表达式：
A. (not ((((13 - -20) != (7 * 4 * 9 * 9)) and (1980年奥运会在东京举办。)) and (天王星是距离太阳第2近的行星。))) or (not (not not (not ((3 * -8 * -2 * 2) != (-14 * 2)))))
B. (not not ((((9 * -4 + 7 * -2) <= (10 * 9 - 1 * -10) <= (2 * 2 - -9 * 10)) or ((-6 * -12) != (-13 + -16))) and (((2 ** 1) < (-7 - 18) < (-3 + -4)) or ((-1 * 11)... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 14264971,
"true_count": 6
},
"question": "审视以下逻辑表达式：\n\nA. (not ((((13 - -20) != (7 * 4 * 9 * 9)) and (1980年奥运会在东京举... |
logic-v2 | Consider the following logical expressions:
A. (not not ((not (Alcohol is a liquid at room temperature.)) or (((14 % 2) <= (-19 + 18)) or ((3 * -7 - 4 * -3) < (9 - 9) < (-16 - 13))))) or ((The 1900 Olympics were held in Antwerp.) or (not not (The 1912 Olympics were held in Stockholm.))) or (not not ((((5 * 17) < (17 -... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 11135220,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (not not ((not (Alcohol is a ... |
logic-v2 | Examine these expressions:
A. ((not (World War I began occurred in 1914.)) or ((The 1988 Olympics were held in Seoul.) and (Wood is a solid at room temperature.))) or (not not ((The currency of Hungary is the Forint.) or (The human body has 206 bones.)))
B. ((not ((8 + 13) <= (-7 * -8 * -5 * -9))) and (not ((3 - -4) <... | {
"game_data": {
"answer": "A,B,C,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 95721950,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. ((not (World War I began occurred in 1914.... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((not not (((日本的货币是比索。) and ((13 * -18) == (18 - 10))) or ((五月有31天。) or ((-9 * 4 * 8 * 6) >= (-10 * 10 - 10 * 10))))) or ((((1988年奥运会在悉尼举办。) or ((5 + -4) <= (16 + 15))) or ((钙的化学符号是Hg。) or ((8 * -1 * -2 * -10) == (25 % 8)))) or (((1964年奥运会在莫斯科举办。) and (泰坦尼克号沉没发生在1912年。)) and ((铜的化学符号是Mg。) or (钻石由碳元... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 77363153,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((not not (((日本的货币是比索。) and ((13 * -18) == (18 - 10))) o... |
logic-v2 | Below are several boolean expressions:
A. (not ((((-10 * 7 * -10 * 7) <= (1 ** 3)) or (Mercury is the 1st planet from the Sun.)) or (not (Neptune is the 8th planet from the Sun.)) or (A tuna is a bird.))) or ((not (not not (There are 30 days in September.))) or (((Earth is the 3rd planet from the Sun.) or ((Diamonds a... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 50369412,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (not ((((-10 * 7 * -10 * 7) <= (1 **... |
logic-v2 | Below are several boolean expressions:
A. (not not (Canada is in Asia.)) and (((5 * 2 + -8 * 8) != (18 * -14)) and ((10 * -6) > (-7 - 10)) and (((-20 * -19) >= (13 * -16)) or (not (The currency of Australia is the Dollar.))))
B. (((A pig has 4 legs.) and (not not (Venus is the 3rd planet from the Sun.))) and (((6 + -2... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 77948333,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (not not (Canada is in Asia.)) and (((... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (12 * 15) < (3 ** 2)
B. ((17 * -1) > (-12 * 10)) or (((-9 * 7 + -6 * -7) == (-9 * -10 + -10 * 10)) and ((-5 - -6) < (19 - -5) < (4 - 11)))
C. ((The Titanic sank occurred in 1912.) and ((29 % 6) > (2 ** 1))) and (A lobster has 0 legs.)
D. ((The currency of European Unio... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 61068851,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (12 * 15) < (3 ** 2)\nB. (... |
logic-v2 | 审视以下逻辑表达式：
A. (not (((南极洲是最冷的大陆。) and (瑞典的货币是克朗。)) or ((1936年奥运会在柏林举办。) or ((-15 * -4) <= (-13 - 2))) or ((((0 * -4 * -6 * 0) == (-15 + 1)) or ((14 * 4) < (5 * -7))) or (not (意大利的首都是拉巴特。))))) and ((((-14 + -12) == (-18 * -7)) or (((第二次世界大战结束发生在1945年。) and (芬兰的首都是阿姆斯特丹。)) or ((木星是距离太阳第4近的行星。) or ((-15 * 3) < (-11 + 11)... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 59910986,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (not (((南极洲是最冷的大陆。) and (瑞典的货币是克朗。)) or ((1936年奥运会在柏林举办。) or ((-15... |
logic-v2 | Below are several boolean expressions:
A. not not ((not (56 is divisible by 12.)) and ((2 ** 1) >= (-12 - 16)))
B. not not (not not ((The chemical symbol for Phosphorus is P.) or ((3 * 7 + -2 * -6) > (-7 * -9 - -3 * -3))))
C. (not not (((-3 - 11) != (-3 * -5)) or (Whales are fish.))) or ((8 * -2) < (1 ** 3))
D. not no... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 84299394,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not ((not (56 is divisible by ... |
logic-v2 | 评估以下每个表达式：
A. not ((法国的首都是新德里。) and ((蜥蜴是爬行动物。) and (1944年是闰年。)))
B. (((光速约为每秒30万公里。) and (604是斐波那契数。)) and (((-6 - 16) < (-10 + -11) < (2 ** 1)) or (蜘蛛有0条腿。))) and (((鲨鱼是哺乳动物。) or (2015年是闰年。)) and (((2 * -10 + -8 * -10) <= (8 * -10 * -8 * 5) <= (-8 * -4 + 8 * -10)) or (铂的化学符号是Pt。)))
C. not (not not (乌克兰的首都是基辅。))
D. (... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 73401386,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((法国的首都是新德里。) and ((蜥蜴是爬行动物。) and (1944年是闰年。)))\nB. (((光速约为每... |
logic-v2 | 审视以下逻辑表达式：
A. (((not not (((1 ** 2) < (-20 + 3)) or (1952年奥运会在赫尔辛基举办。))) and (not not (((-7 - -5) >= (-10 * -2 * 1 * -3)) or ((-18 * -12) < (8 - -13))))) or (not (((法国大革命开始发生在1789年。) and (2016年奥运会在雅典举办。)) and ((-3 * -6 + -6 * 1) >= (-15 + -8))))) and ((老虎是鸟类。) or (not not ((15 * 9) < (-4 * 16))) or ((-20 + 2) < (3 * -... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 45552525,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (((not not (((1 ** 2) < (-20 + 3)) or (1952年奥运会在赫尔辛基举办。))) and (... |
logic-v2 | Review these logical expressions:
A. not not ((not not (The capital of Philippines is Manila.)) and (not (not not (not not ((30 % 5) < (-15 + 19))))))
B. not ((not ((((20 * -16) >= (0 - 14)) or (The chemical symbol for Potassium is K.)) and ((-2 - 18) > (-2 + 8)))) or (The 2012 Olympics were held in London.) or ((The ... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 48753000,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not ((not not (The capital of Philippin... |
logic-v2 | 考虑以下布尔表达式：
A. ((鸡有0条腿。) and ((-9 * -14) < (-14 - -10))) or ((6 - -15) != (40 % 4))
B. ((-14 - 0) != (15 - 1)) or ((-3 - -18) < (2 * -1 + -7 * 10))
C. (not (土星是距离太阳第6近的行星。)) or ((木头在常温下是固体。) and (美国宣布独立发生在1771年。))
D. ((9 % 10) >= (-9 * 1 + 9 * 7)) and (not not (1964年奥运会在莫斯科举办。))
E. (not not ((18 - 16) < (-7 - 1))) and ... | {
"game_data": {
"answer": "A,B,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 45552208,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((鸡有0条腿。) and ((-9 * -14) < (-14 - -10))) or ((6 - -15) != (40... |
logic-v2 | 下面是几个布尔表达式：
A. (not not (not not (not not ((((-14 * 8) < (9 * -7)) or ((3 * 5 - 5 * 7) == (-17 - -17))) and ((1 - 20) != (2 ** 3)))))) or (not (((not not (((15 + 15) >= (11 * 2)) and ((4 * 16) <= (3 % 3) <= (7 * 3 - 1 * 2)))) or (南非的货币是兰特。) or (((九月有29天。) and ((20 % 5) < (35 % 2))) or (土星是距离太阳第6近的行星。))) or (((not not ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 10209300,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (not not (not not (not not ((((-14 * 8) < (9 * -7)) or ((3 ... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not not (((not ((3 + -9) <= (6 + 6))) and (not (((42 % 5) > (5 + -14)) or (铜的化学符号是Ni。)))) or ((((2 ** 3) <= (6 * -3 * 10 * -4) <= (-8 + 1)) or ((-8 + 3) != (8 - 2))) and ((266是完全平方数。) or (1992年奥运会在巴塞罗那举办。))) or (not (not (not (人体有150块骨头。))))))
B. not (not not ((not ((not ((-2 * 7) == (-9 * -4 +... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 37685112,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not not (not not (((not ((3 + -9) <= (6 + 6))) and (not (((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((((-3 - 7) <= (18 + -17) <= (7 + 14)) and (尼日利亚的首都是曼谷。)) and (((0 * 4 + 5 * 9) <= (-12 * 13)) or (蜘蛛是昆虫。)))
B. ((尼日利亚位于亚洲。) or (比利时的首都是布鲁塞尔。)) or (2063年是闰年。)
C. (not ((人类只使用了大脑的10%。) or (149是奇数。))) or (not ((12 * -19) < (5 * -6 - -6 * -3))) or ((((10 - -11) != (-8 + -12)) and ((4 ** 1) > (... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 81573563,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((((-3 - 7) <= (18 + -17) <= (7 + 14)) and (尼日利亚... |
logic-v2 | Review these logical expressions:
A. not not (not (not not (Oil is a liquid at room temperature.)))
B. not ((Mercury is the 2nd planet from the Sun.) and ((Christopher Columbus reached America occurred in 1492.) and ((2026 is a leap year.) or ((16 * 1) <= (40 % 7)))))
C. not not ((not not (not not (United States is in... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 79809518,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not not (not (not not (Oil is a liquid at... |
logic-v2 | 研究以下逻辑语句：
A. not (((not ((((19 + 1) == (-3 + -9)) and (1980年是闰年。)) and (1926年是闰年。))) or ((((3 * 15) > (-5 * 3 - -8 * 2)) and ((1904年奥运会在巴黎举办。) or (越南的货币是奈拉。))) or ((9 * 18) <= (2 ** 1)))) and (((闪电不会两次击中同一个地方。) and (not not ((-6 * -6 * 6 * 2) < (3 * 20)))) and ((第二次世界大战结束发生在1935年。) and (not ((28 % 2) >= (-1 * -6 * -6 ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 46698374,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not (((not ((((19 + 1) == (-3 + -9)) and (1980年是闰年。)) and (1926年是... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not ((not (not not (The 2016 Olympics were held in Seoul.))) and ((-4 + 16) > (5 ** 2)))) and ((((not not ((4 ** 3) <= (0 * -8))) or (((-5 + 12) <= (-15 * 8) <= (27 % 10)) and ((14 % 6) >= (2 ** 2)))) and (Brazil is in South America.)) or ((((-10 + -13) == (-17 + ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 10510835,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not ((not (not not (The... |
logic-v2 | Evaluate each expression below:
A. ((not ((Mexico is in Africa.) and (Chile is in Oceania.))) or ((Humans only use 10% of their brain.) or ((-11 - -17) == (-19 * 5))) or ((-2 * 3 + 3 * -2) < (-2 * -7 + -7 * -9))) and ((The 1984 Olympics were held in Paris.) or (((Gold is a liquid at room temperature.) and ((28 % 7) <=... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 34404990,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. ((not ((Mexico is in Africa.) and (Ch... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (((not not (The currency of South Africa is the Krone.)) and (((-2 - -10) == (-2 - 4)) or (Mercury is the 1st planet from the Sun.)) and (The square root of 1 is 10.)) and (((((-3 * -3 * 0 * 1) < (36 % 3) < (-10 * -7 - 6 * -4)) and (Wood is a liquid at room tem... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 83982078,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (((not not (The curr... |
logic-v2 | 给定以下布尔表达式：
A. (20 * 9) != (17 * 0)
B. 铜在常温下是气体。
C. not not ((1 ** 3) <= (7 * -9))
D. not not (not not ((8 + -1) != (10 * 9 + -6 * 5)))
E. (not not (三月有29天。)) and ((2007年是闰年。) and (1906年是闰年。))
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": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 10910526,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (20 * 9) != (17 * 0)\nB. 铜在常温下是气体。\nC. not not ((1 ** 3) <= (7 *... |
logic-v2 | Given the following boolean expressions:
A. ((not (((-7 * -8 + 8 * -10) > (5 ** 1)) and (((5 ** 1) == (2 * 1 * 10 * 3)) and ((-18 * -7) > (19 % 2))))) or (not not (not not (not ((36 % 10) >= (-10 * 5 * -2 * 1)))))) or (not (not ((-2 * -6) == (17 * -12))))
B. (not ((((Copper is a solid at room temperature.) and ((-19 *... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 53237528,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. ((not (((-7 * -8 + 8 * -10) > (5 *... |
logic-v2 | 检验这些表达式：
A. not not (六月有30天。)
B. not not (((1988年奥运会在首尔举办。) and ((-7 * -11) > (-5 - 12))) or ((-11 * 19) <= (1 * 7 * 7 * 4) <= (20 - 12)))
C. ((((18 * -19) > (-14 - 20)) or (木星是距离太阳第2近的行星。)) and (not ((19 + 17) >= (3 * -6 * -3 * 8)))) or ((not (2088年是闰年。)) and (((0 * -4 + -1 * 2) == (-3 + -15)) and ((9 * 11) <= (-5 * ... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 8977285,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not not (六月有30天。)\nB. not not (((1988年奥运会在首尔举办。) and ((-7 * -11) ... |
logic-v2 | Examine these expressions:
A. ((((Mercury is the 5th planet from the Sun.) or (Jupiter is the 8th planet from the Sun.)) or (not not (A duck has 8 legs.))) or ((((-3 * -6 - 1 * 8) != (4 ** 3)) and ((19 % 9) != (1 ** 3))) and (The 2024 Olympics were held in Tokyo.))) and ((((31 % 8) >= (3 ** 2)) or ((-5 - 20) <= (-4 * ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 91930214,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. ((((Mercury is the 5th planet from the Sun.) or (J... |
logic-v2 | 分析以下逻辑表达式：
A. not (not not ((墨西哥的首都是墨西哥城。) or ((18 % 10) >= (-1 * -7 * 4 * 1))))
B. not not (((2058年是闰年。) or ((-18 - 13) > (4 ** 2))) or (49的平方根是7。))
C. ((莱特兄弟首次飞行发生在1902年。) or (not (1942年是闰年。))) and (not (1968年奥运会在墨西哥城举办。)) and ((not ((1 * 4 * 8 * -10) >= (-9 - 5))) or (芬兰的首都是赫尔辛基。))
D. (((1908年奥运会在雅典举办。) or ((8 * 2 ... | {
"game_data": {
"answer": "B,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 83952252,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not (not not ((墨西哥的首都是墨西哥城。) or ((18 % 10) >= (-1 * -7 * 4 *... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (not not ((天王星是距离太阳第7近的行星。) and (2024年奥运会在巴黎举办。)))
B. ((not (氧气在常温下是固体。)) and (蝙蝠是瞎的。)) and (((9 + -17) > (4 ** 2)) and ((2 * -6 - 10 * -6) <= (-8 * -10 + -8 * -2) <= (-15 - -10))) and ((4 + -4) == (1 + 6))
C. (((天王星是距离太阳第1近的行星。) and (1924年奥运会在巴黎举办。)) or ((锰的化学符号是Mn。) and ((-17 + -12) > (48... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 54497588,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (not not ((天王星是距离太阳第7近的行星。) and (2024年奥运会在巴黎举办。)))... |
logic-v2 | Below are several boolean expressions:
A. (-2 * 3 + 10 * -8) == (38 % 7)
B. (13 + 2) < (-5 * 4 - 4 * 7)
C. (((-7 * 0 * 2 * -10) != (11 + 7)) and (There are 29 days in August.)) or (not not (The chemical symbol for Helium is Fe.))
D. (((3 ** 3) <= (-3 + -9)) or ((17 + -20) != (17 * 12))) or ((2000 is a leap year.) and ... | {
"game_data": {
"answer": "D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 84512290,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (-2 * 3 + 10 * -8) == (38 % 7)\nB.... |
logic-v2 | Review these logical expressions:
A. (((A horse has 4 legs.) and (The chemical symbol for Carbon is N.)) or (((10 - -4) != (2 + -20)) or ((20 * -20) == (6 * -8 * 1 * -1)))) or (((The 1908 Olympics were held in London.) or (Water boils at 100 degrees Celsius at sea level.)) or (((25 % 1) < (-11 - 16)) or ((-2 * 11) != ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 32323937,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. (((A horse has 4 legs.) and (The ch... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((-2 + 11) != (-8 * 13)) or (水在海平面上的沸点是100摄氏度。)) or (鸭子有2条腿。)) or (not not ((现代奥运会首届举办发生在1896年。) or (二氧化碳在常温下是气体。)))
B. ((((1 ** 1) <= (18 * -14)) and (汞在常温下是液体。)) or ((天王星是距离太阳第7近的行星。) or (印度的首都是新德里。))) or ((螃蟹有10条腿。) and (49的平方根是7。)) or (((-6 * -12) < (3 ** 2) < (-19 + 15)) and (not (氦的化学符... | {
"game_data": {
"answer": "A,B,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 23839736,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((((-2 + 11) != (-8 * 13)) or (水在海平面上的沸点是100摄氏度... |
logic-v2 | 给定以下布尔表达式：
A. not not (((((0 + 15) > (5 * -4 + 4 * 4)) and ((肯尼亚的首都是布加勒斯特。) or ((-11 - -17) < (9 * -10)))) or (((蛇有0条腿。) and (肯尼亚位于南极洲。)) or (((-1 * -7 * 2 * 1) >= (4 ** 3)) or ((1 - -6) == (-8 * 3 - -2 * 0))))) or ((1 ** 2) > (1 + -8)) or ((美国宣布独立发生在1776年。) and (((柏林墙倒塌发生在1989年。) or (1952年奥运会在赫尔辛基举办。)) or ((1972年奥运会在... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 16750338,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. not not (((((0 + 15) > (5 * -4 + 4 * 4)) and ((肯尼亚的首都是布加勒斯特。... |
logic-v2 | 评估以下每个表达式：
A. (((月球绕地球运转。) and (((13 - -9) != (5 ** 1)) or (93能被12整除。))) or (not not (((4 * -6 - 9 * 1) < (4 * -8 * 5 * 1) < (11 - -11)) or (日本位于非洲。)))) or (((-6 * -14) > (-9 * 2 * 4 * 1)) and ((12 + -8) >= (-18 - 3)))
B. (((((-6 + 7) <= (6 * 2 + 10 * 10)) and ((19 + 18) <= (0 - -14))) or ((智利的货币是兹罗提。) and ((14 % 8) <... | {
"game_data": {
"answer": "A,B,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 42435479,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (((月球绕地球运转。) and (((13 - -9) != (5 ** 1)) or (93能被12整除。))) o... |
logic-v2 | 检验这些表达式：
A. (not ((((11 + -13) <= (-14 - 1) <= (37 % 4)) or ((-2 * -8) > (-8 - -12))) and ((18 - 12) < (8 * 3 * 3 * -6)))) and (not (一月有31天。)) and ((韩国的货币是兰特。) and (not (not (第一次世界大战开始发生在1909年。))))
B. not (((地球是距离太阳第8近的行星。) and (not ((19 * 15) >= (-12 - -13)))) and (((人类首次登月发生在1971年。) and ((3 ** 2) <= (7 - 10))) or ((... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 8549543,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not ((((11 + -13) <= (-14 - 1) <= (37 % 4)) or ((-2 * -8) > (-8 - -1... |
logic-v2 | Review these logical expressions:
A. (1 ** 2) < (2 * 11) < (4 ** 1)
B. not not (not ((-1 + -19) > (42 % 7)))
C. ((-11 + 9) <= (-13 * 19)) or (((-15 + -11) != (-4 - 3)) or (The 1996 Olympics were held in Atlanta.))
D. The currency of United Kingdom is the Forint.
Which expressions are true? Answer with comma-separated... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 78037081,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (1 ** 2) < (2 * 11) < (4 ** 1)\nB. not no... |
logic-v2 | Study the following logical statements:
A. ((((-4 * -8 + -4 * -8) >= (-8 * -5 - -3 * 2)) and ((World War I ended occurred in 1918.) and (The chemical symbol for Lead is Ca.))) and (((The chemical symbol for Sulfur is O.) or (663 is a Fibonacci number.)) or (not not (Neptune is the 8th planet from the Sun.)))) and ((((... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 57706689,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. ((((-4 * -8 + -4 * -8) >= (-8 * -5 ... |
logic-v2 | 评估以下每个表达式：
A. (not (not ((-7 * 10 * 0 * 8) != (3 + 4)))) and ((((2 ** 2) < (4 ** 2)) and ((((3 * -9 - 5 * -4) > (-6 + 11)) or ((18 + -18) < (-18 + 7))) or ((印度尼西亚的首都是柏林。) or ((-3 - 14) <= (-1 - 15))))) and ((新西兰位于大洋洲。) and (399是斐波那契数。)) and (not (((人类首次登月发生在1968年。) and (印度尼西亚位于亚洲。)) or (100的平方根是10。))))
B. (((油在常温下是液体。... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 28827079,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (not (not ((-7 * 10 * 0 * 8) != (3 + 4)))) and ((((2 ** 2) <... |
logic-v2 | Given the following boolean expressions:
A. not (((not not ((Mercury is a liquid at room temperature.) and ((14 + -6) < (-4 * -1 + 0 * -10)))) or ((Carbon dioxide is a gas at room temperature.) and ((12 * 10) > (-3 + -2))) or (Uranus is the 7th planet from the Sun.)) and (not not (The speed of light is approximately 3... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 73907392,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not (((not not ((Mercury is a liquid... |
logic-v2 | Review these logical expressions:
A. not not ((not (The chemical symbol for Mercury is Hg.)) or ((Jupiter is the 5th planet from the Sun.) and ((1 ** 2) >= (15 % 7))))
B. (not not ((The 1992 Olympics were held in Amsterdam.) or ((0 + -17) <= (8 % 1)))) and (The capital of Portugal is Lisbon.)
C. ((not (Colombia is in ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 3899617,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. not not ((not (The chemical symbol f... |
logic-v2 | 给定以下布尔表达式：
A. (not not ((((1924年奥运会在巴黎举办。) or ((12 - 20) <= (8 * -4 - -3 * 6))) or (((-9 - 6) == (-7 - 14)) and (美国宣布独立发生在1774年。))) or ((木星是距离太阳第5近的行星。) and (((0 * -18) <= (16 - -20) <= (-7 - -11)) and (尼日利亚的首都是阿布贾。))))) and (((not not (not (法国的首都是曼谷。))) and (鲸鱼是鱼类。)) and (((5 ** 1) >= (5 ** 1)) or ((6 % 4) > (-14 - 6... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 17259595,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not ((((1924年奥运会在巴黎举办。) or ((12 - 20) <= (8 * -4 - -3 * 6))) ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (19 - -17) == (7 * -3 - -2 * -9)
B. (((-6 + -8) <= (-9 * 10 * 8 * 5)) or (The currency of Denmark is the Dollar.)) and ((The capital of Brazil is Wellington.) and ((-2 + 5) != (-19 * -12)))
C. (2 ** 3) > (37 % 8)
D. not not ((The currency of Australia is the Riyal.) or... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 30922208,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (19 - -17) == (7 * -3 - -2 *... |
logic-v2 | Analyze these boolean expressions:
A. not (not not (not not (not not (((Venus is the 5th planet from the Sun.) or (Australia is in North America.)) and ((The chemical symbol for Sodium is Na.) or ((3 ** 2) < (14 - 11) < (49 % 7)))))))
B. not not (not not (not not ((((-14 * -9) <= (2 ** 1) <= (-5 * -6 - 3 * -1)) or (no... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 29825158,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not (not not (not not (not not (((Venus ... |
logic-v2 | Below are several boolean expressions:
A. (not not (((((-16 * 4) > (-5 * -4 + -3 * 0)) or ((13 * 4) == (18 - -13))) and (Water boils at 100 degrees Celsius at sea level.)) or (not not (((-9 - 10) == (-11 + 15)) and (The currency of Thailand is the Baht.))))) or (not not ((The currency of Turkey is the Dollar.) and (no... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 89548770,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not not (((((-16 * 4) > (-5 * -4 ... |
logic-v2 | Evaluate each expression below:
A. ((A chicken is a fish.) or (Oxygen is a liquid at room temperature.) or (not ((92 is a prime number.) or (The 2008 Olympics were held in Athens.)))) and (not not (((Mercury is the 5th planet from the Sun.) or (86 is greater than 34.)) and ((Copper is a solid at room temperature.) and... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 52991148,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. ((A chicken is a fish.) or (Oxygen is a... |
logic-v2 | 检验这些表达式：
A. ((not (not not ((-14 + -10) <= (4 ** 3)))) and ((金星是距离太阳第5近的行星。) and (2068年是闰年。)) and ((((-9 * -3) < (18 - 7)) or (铀的化学符号是U。)) or (((10 - 19) != (25 % 1)) and (土星是距离太阳第3近的行星。)))) or (((9 - 19) == (2 + -1)) and ((13是质数。) or (252是完全平方数。))) or ((not not (((-2 - 16) >= (-5 * -7 + 6 * 0)) or (硅的化学符号是Si。))) or (... | {
"game_data": {
"answer": "A,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 98127539,
"true_count": 6
},
"question": "检验这些表达式：\n\nA. ((not (not not ((-14 + -10) <= (4 ** 3)))) and ((金星是距离太阳第5... |
logic-v2 | 评估以下每个表达式：
A. not not ((现代奥运会首届举办发生在1896年。) or ((冰的密度比液态水小。) and ((5 * 7 - 1 * -7) != (3 - 8))))
B. not ((13 * -7) <= (6 - -16))
C. (南非的货币是兰特。) or (((18 * -9) <= (9 * -3)) and ((-17 - -8) >= (4 ** 3))) or (((美国宣布独立发生在1775年。) and (墨西哥的货币是比索。)) and ((土星是距离太阳第6近的行星。) or (土星是距离太阳第6近的行星。)))
列出所有值为 True 的选项，在 \boxed{} 中用逗号... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 28216960,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not ((现代奥运会首届举办发生在1896年。) or ((冰的密度比液态水小。) and ((5 * 7 - 1 *... |
logic-v2 | Evaluate each expression below:
A. (15 - 0) > (15 % 3)
B. not ((51 is less than or equal to 30.) or ((4 * -5 - -7 * 9) > (-4 * 5 - 3 * 3)))
C. (((-9 - -11) <= (-5 * -15) <= (-14 - -14)) and (A carp is a fish.)) or (((20 - -1) < (10 * 0 * 0 * 2) < (6 * 8 * -5 * -6)) and (The currency of Thailand is the Koruna.))
D. ((T... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 76900962,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (15 - 0) > (15 % 3)\nB. not ((51 is less ... |
logic-v2 | Consider the following logical expressions:
A. The capital of Spain is Cairo.
B. (not not (The 1936 Olympics were held in Berlin.)) and (not ((13 - -5) != (-12 * 8)))
C. (There are 30 days in September.) and (not not ((8 * -8 - -6 * -7) < (4 * 2 * 10 * -10)))
D. (2019 is a leap year.) or ((World War I ended occurred i... | {
"game_data": {
"answer": "H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 20687786,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. The capital of Spain is Cairo.\nB... |
logic-v2 | Analyze these boolean expressions:
A. ((((The Berlin Wall fell occurred in 1989.) or (2041 is a leap year.)) or (((4 * 7 + 9 * 0) == (2 ** 3)) or ((8 * 19) != (-6 * -20)))) or ((8 * -5 * 3 * 10) == (47 % 7))) and (not not (not not (Plants produce oxygen through photosynthesis.)))
B. (not not ((There are 31 days in May... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 51279912,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. ((((The Berlin Wall fell occurred in 198... |
logic-v2 | 审视以下逻辑表达式：
A. (((天王星是距离太阳第5近的行星。) or (澳大利亚位于大洋洲。)) or (not not (汞在常温下是液体。))) and (((冰在常温下是固体。) or ((10 * -1 * 0 * 6) != (8 + -3))) or (not (((2008年奥运会在北京举办。) and ((9 - -16) == (1 * -7 + 6 * -8))) and ((氦的化学符号是He。) and (1942年是闰年。)))))
B. (not (((-7 * 8 * 4 * -5) > (6 * 1 * -4 * 9)) or ((not not (镁的化学符号是Mn。)) and (not (... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 66978574,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (((天王星是距离太阳第5近的行星。) or (澳大利亚位于大洋洲。)) or (not not (汞在常温下是液体。)))... |
logic-v2 | Examine these expressions:
A. not (The Sun revolves around the Earth.)
B. (The chemical symbol for Nickel is Ni.) and ((((-7 + -14) < (-6 * 14)) or ((4 + 2) > (6 + 20))) and ((The capital of Netherlands is Bangkok.) or ((1 ** 2) <= (9 * -14))))
C. not not ((((5 ** 3) <= (9 * -3) <= (19 + 5)) or ((-15 * -20) == (-5 * 5... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 50172369,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not (The Sun revolves around the Earth.)\nB. (Th... |
logic-v2 | Evaluate each expression below:
A. not not (not (((-20 + 16) <= (-15 + 2)) and (The chemical symbol for Hydrogen is H.)))
B. ((not not (The capital of Venezuela is Prague.)) and ((A penguin is a bird.) or (The 1952 Olympics were held in Helsinki.))) and ((A herring is a fish.) or ((7 * -3) >= (-8 * 7 + -10 * 2))) and ... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 80046095,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not (not (((-20 + 16) <= (-15 + 2))... |
logic-v2 | Analyze these boolean expressions:
A. ((not ((Steam is a solid at room temperature.) and ((38 % 4) == (17 + -12)))) or (((32 % 9) > (-10 * -17)) and (The 1908 Olympics were held in London.)) or (The currency of Switzerland is the Franc.)) or ((Venus is the 6th planet from the Sun.) or (((2 + 0) >= (9 * 8)) and (((-7 *... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 64453439,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((not ((Steam is a solid at room tempe... |
logic-v2 | 下面是几个布尔表达式：
A. (not not (镍的化学符号是O。)) and ((第二次世界大战结束发生在1945年。) or (not (((-16 - -13) > (2 + -14)) and (光速约为每秒30万公里。))))
B. ((((-5 + -2) > (16 * 1)) and ((45小于等于47。) or ((-11 - -17) != (13 * 18)))) or (not not (((10 - 20) < (3 * -5 + 7 * 10) < (2 ** 2)) and (汞的化学符号是Hg。)))) or ((not not (not ((-4 + -18) < (8 + 12)))) or... | {
"game_data": {
"answer": "C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 70041946,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (not not (镍的化学符号是O。)) and ((第二次世界大战结束发生在1945年。) or (not (((... |
logic-v2 | Analyze these boolean expressions:
A. not not ((not ((((The currency of Chile is the Peso.) or (The capital of Peru is Paris.)) or (((-15 - 6) >= (17 * 8)) or ((18 + -5) <= (-5 + 19) <= (27 % 9)))) or ((-1 * -1 - -5 * 6) >= (19 * 17)) or (((The capital of Mexico is Budapest.) and (36 is an even number.)) and (((-3 * 0... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 64752721,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not not ((not ((((The currency of Chile ... |
logic-v2 | Review these logical expressions:
A. not (((not (((The chemical symbol for Aluminum is Pt.) and ((-2 * -10) != (5 + 13))) or (not not (1939 is a leap year.)))) or (not ((-6 * -2 - 3 * 4) != (46 % 4)))) or ((not not ((not not (608 is a Fibonacci number.)) and (not not (A trout is a mammal.)))) and ((Wood is a solid at ... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 51141426,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not (((not (((The chemical symbol for A... |
logic-v2 | 评估以下每个表达式：
A. not not ((((not not (((-2 - 0) == (-9 * 8 + -4 * 7)) and (氮气在常温下是气体。))) and (not not ((六月有30天。) or (1952年奥运会在巴黎举办。)))) and (((莱特兄弟首次飞行发生在1913年。) and (钻石在常温下是固体。)) or ((-3 * 18) != (19 % 10))) and ((not not (((39 % 10) >= (1 * -1 - 3 * 9)) or (金星是距离太阳第2近的行星。))) and ((9 * 3) < (10 - 20) < (-2 * 6 * 6 * -5)... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 8507175,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not not ((((not not (((-2 - 0) == (-9 * 8 + -4 * 7)) and (氮气在... |
logic-v2 | 研究以下逻辑语句：
A. ((((((-6 * -20) >= (18 * 14)) and (火星是距离太阳第5近的行星。)) or (((1 ** 1) > (12 % 3)) or (第二次世界大战结束发生在1945年。))) and ((1960年奥运会在罗马举办。) and (not (秘鲁的货币是索尔。)))) and (not not (2016年奥运会在里约热内卢举办。))) or (not not (((((3 * -14) > (9 * -10)) and (三文鱼是鸟类。)) and ((19 * -15) != (-19 + -20))) and (not ((天王星是距离太阳第2近的行星。) and ((... | {
"game_data": {
"answer": "C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 24920051,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. ((((((-6 * -20) >= (18 * 14)) and (火星是距离太阳第5近的行星。)) or (((1... |
logic-v2 | Given the following boolean expressions:
A. not ((not (not ((The chemical symbol for Chlorine is Cl.) and (A crow is a bird.)))) and (((The currency of Vietnam is the Dong.) or (not (The French Revolution began occurred in 1789.)) or (92 is a prime number.)) and (not ((-3 + 18) == (-9 - 6))) and ((not ((7 is a prime n... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 18109282,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not ((not (not ((The chemical symb... |
logic-v2 | Review these logical expressions:
A. China is in Asia.
B. ((The human body has 206 bones.) and (17 is a Fibonacci number.)) and (((4 * 15) <= (26 % 1) <= (17 - 19)) or ((50 % 8) > (-9 * -3 - -2 * -4)))
C. not (South Africa is in Africa.)
D. not not ((1 * 9) <= (-12 * -16) <= (-2 * 8 * -10 * 7))
Which expressions are ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 79375925,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. China is in Asia.\nB. ((The human body ha... |
logic-v2 | Evaluate each expression below:
A. ((5 ** 2) <= (-9 * 2 - 8 * -5) <= (9 * -6 + 5 * 3)) or ((-16 * 5) <= (-7 * -2))
B. ((not (Copper is a solid at room temperature.)) and ((3 ** 1) < (24 % 9) < (29 % 5))) or (The 1920 Olympics were held in Antwerp.)
C. (((Nitrogen is a gas at room temperature.) and (The French Revoluti... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 10999776,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. ((5 ** 2) <= (-9 * 2 - 8 * -5) <= (9 * -6 +... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (5 ** 3) < (-3 * -19) < (11 + 0)
B. ((秘鲁的货币是瑞士法郎。) and ((-16 + 12) > (-1 * 4 - -10 * 7))) or (((33 % 8) == (10 * -5)) or ((-17 - 19) < (-9 * 5 + -3 * 4) < (-8 * 6 - -9 * 5)))
C. 加拿大的货币是澳元。
D. ((德国的首都是柏林。) and (电流比光速更快。)) or (((-5 * -7 + -10 * 3) <= (-18 * -16)) or ((8 * 7 - 2 * -9) <= (13 * 15... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 73424828,
"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. (5 ** 3) < (-3 * -19) < (11 + 0)\nB. ((秘鲁的货币是瑞士法郎。) a... |
logic-v2 | 下面是几个布尔表达式：
A. (not (((not ((-20 - -15) <= (-5 * 9 + 9 * -10))) or (not (海王星是距离太阳第8近的行星。))) and (龙虾有0条腿。) and ((锰的化学符号是Mn。) or (not not ((-18 - -8) >= (5 * -2)))))) and ((((not not ((-1 + 12) != (1 ** 2))) and (1912年奥运会在斯德哥尔摩举办。)) or ((18 * -15) >= (-1 - 3))) and ((第一次世界大战结束发生在1919年。) and (火星是距离太阳第2近的行星。)))
B. (not ((... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 74338052,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (not (((not ((-20 - -15) <= (-5 * 9 + 9 * -10))) or (not (海王星是距离太... |
logic-v2 | Below are several boolean expressions:
A. not ((not (not ((((-3 * -6 * -5 * -4) > (20 % 7)) and ((-2 - -18) <= (-20 - 11) <= (18 % 2))) or (((3 - 17) >= (-10 * 2 * -3 * -8)) or ((4 * 8 - 10 * 1) <= (4 + -7)))))) and (((((-6 + -1) != (32 % 9)) or (The capital of Canada is Amsterdam.)) or ((((20 - -6) <= (2 % 6)) or (Th... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 91900704,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. not ((not (not ((((-3 * -6 * -5 * -4) ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((((-6 + -9) != (3 * -10 - -4 * -9)) or (火星是距离太阳第2近的行星。)) and (((4 ** 3) >= (4 ** 2)) or ((14 + -14) < (-12 + 5))))
B. not not ((((2 * 7) < (13 * 2)) and (冰在常温下是液体。)) or ((智利位于大洋洲。) and (第一次世界大战开始发生在1916年。)))
C. ((蟑螂是爬行动物。) and ((5 + -5) == (0 + 20))) and (((水星是距离太阳第8近的行星。) or (中国位于亚洲。)) an... | {
"game_data": {
"answer": "A,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 76308516,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((((-6 + -9) != (3 * -10 - -4 * -9)) or (火星是距离太阳... |
logic-v2 | 审视以下逻辑表达式：
A. ((((日本位于亚洲。) and (南非位于非洲。)) or (((-7 * -2 - -8 * 5) < (8 * 7 + -3 * -6) < (-17 - 17)) and (声音在真空中传播更快。))) and (not not (not (41是质数。)))) and (((水在常温下是气体。) or (铝的化学符号是P。)) and ((400是斐波那契数。) or (地球上一天是24小时。))) and (not ((((6 - -7) <= (39 % 5) <= (23 % 3)) and ((-2 * 2 + 5 * -8) != (15 + 16))) or ((-13 * 1) ... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 47750024,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((((日本位于亚洲。) and (南非位于非洲。)) or (((-7 * -2 - -8 * 5) < (8 * 7 +... |
logic-v2 | 分析以下逻辑表达式：
A. not (not (not (not (not (not (蚱蜢是昆虫。))))))
B. not (((not not (not ((2081年是闰年。) or ((35 % 1) < (4 % 4) < (9 * -2 - 10 * 1))))) and (((1 * 7 + 3 * 7) <= (20 % 3) <= (5 - 10)) and (not not (章鱼有8条腿。)) and ((金星是距离太阳第2近的行星。) and (488是斐波那契数。)))) and ((((not not (1920年奥运会在赫尔辛基举办。)) and ((1970年是闰年。) or (奥地利的首都是安卡... | {
"game_data": {
"answer": "A,B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 52783875,
"true_count": 6
},
"question": "分析以下逻辑表达式：\n\nA. not (not (not (not (not (not (蚱蜢是昆虫。))))))\nB. not (((no... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((((2044 is a leap year.) or (((-3 * -2 * 6 * -8) <= (-17 * 5)) or ((-3 + -19) < (-16 + 0)))) or (not (((23 % 3) != (24 % 9)) and ((12 - 5) == (2 % 10)))) or (not not ((2 + -7) >= (11 * -16)))) or (not (not not (not (The 1960 Olym... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 95286882,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (14 * -8) == (-20 - -7)
B. ((美国宣布独立发生在1774年。) or (西班牙的首都是马德里。)) and (铂的化学符号是Pt。)
C. not not ((169的平方根是7。) or (磷的化学符号是He。))
D. not (((9 * 9 - 3 * 4) >= (13 * -5)) and ((2 ** 1) > (3 * -10 - 6 * -1)))
E. (4 + -9) < (9 * -10 * 6 * -1)
F. not (1917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": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 62481983,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (14 * -8) == (-20 - -7)\nB. ((美国宣布独立发生在1774年。) or (西班牙的首... |
logic-v2 | 评估以下每个表达式：
A. not not ((((((2000年奥运会在首尔举办。) and (秘鲁的首都是曼谷。)) and (((49 % 2) != (19 + -20)) and (西班牙位于欧洲。))) or (铜在常温下是固体。) or (not (((2 * 2 * -6 * -8) != (-3 - -14)) and ((-2 - 7) == (-18 + 2))))) and (((not not ((-10 + -1) > (-4 + 14))) or ((-11 + -8) < (1 * 9 * 10 * -10))) or ((-8 * -3 + -8 * 6) <= (3 * -9 * -8 * 5)... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 58593929,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not ((((((2000年奥运会在首尔举办。) and (秘鲁的首都是曼谷。)) and (((49 % 2) !=... |
logic-v2 | Consider the following logical expressions:
A. not not ((not not (not not ((-9 + -11) > (4 ** 1)))) and ((((-12 * 19) == (-10 * 9 - -6 * 2)) or (not (not not ((-6 + 16) != (19 + 6))))) or (The capital of Indonesia is Santiago.) or ((not not (not (The capital of Sweden is Stockholm.))) or (((Water boils at 100 degrees ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 254985,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not not ((not not (not not ((-9 +... |
logic-v2 | Analyze these boolean expressions:
A. not not ((not (not ((((1 ** 3) != (38 % 8)) and ((4 ** 1) == (0 * 14))) or (((-18 * 11) != (27 % 8)) or (The capital of Belgium is Brussels.))))) or ((((The currency of India is the Rupee.) or ((-8 + -15) <= (7 - 16))) and (Argentina is in South America.)) or (((-4 * -9 * 4 * -8) ... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 92172349,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not not ((not (not ((((1 ** 3) != (38 ... |
logic-v2 | Analyze these boolean expressions:
A. not not ((((not not (not (The capital of Sweden is Stockholm.))) and (The chemical symbol for Tin is Au.) and ((not ((5 ** 3) == (5 ** 3))) or (not not ((10 * -7) != (16 - -2))))) or (((15 * -17) > (41 % 4)) and (The currency of Nigeria is the Naira.))) and (not not ((The currency... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 98845296,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not not ((((not not (not (The capita... |
logic-v2 | 分析以下逻辑表达式：
A. not (((((not ((3 ** 2) < (-15 * -12))) or (91大于23。)) and (((13 + -5) > (19 - 3)) or (十二月有29天。)) and (蝴蝶有2条腿。)) and ((((-5 * -12) != (-18 * 7)) or (((12 + 4) < (7 - 6) < (3 ** 3)) and ((4 ** 2) <= (12 + 3)))) or (((螃蟹有6条腿。) or (11能被9整除。)) or (((-18 + 11) < (15 + 8)) and (摩洛哥的首都是伯尔尼。))))) and (((not not ((... | {
"game_data": {
"answer": "A,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 43427391,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not (((((not ((3 ** 2) < (-15 * -12))) or (91大于23。)) and (((13 +... |
logic-v2 | Consider the following logical expressions:
A. not not ((not (((-10 - 14) == (-1 * 1)) or ((not (The chemical symbol for Sodium is K.)) and ((Neptune is the 3rd planet from the Sun.) or ((13 - 19) < (5 ** 2)))))) and ((not ((not not (The Great Fire of London occurred in 1666.)) or (The currency of Norway is the Krone.... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 41144172,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. not not ((not (((-10 - 14) ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (((not ((not not (新加坡的货币是新加坡元。)) or ((新西兰位于大洋洲。) and (121的平方根是11。)))) or (not not (not not (马有4条腿。)))) or ((((((10 % 1) <= (2 * 6 + 4 * 9)) and (中国的首都是曼谷。)) and (((-13 - 6) < (1 ** 1)) or ((19 - -13) < (-2 * -11)))) or (347是斐波那契数。)) or (火星是距离太阳最近的行星。) or (not not ((-2 * -3 + 9 * 1) < (1 + -10))... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 40863595,
"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 (新加坡的货币是新加坡元。)) or ((新西兰位于大洋洲。) and... |
logic-v2 | Given the following boolean expressions:
A. not ((not not ((The chemical symbol for Cobalt is Na.) and (((2065 is a leap year.) and (The capital of Ukraine is Mexico City.)) and (not (The currency of Egypt is the Pound.))))) and (((((The human body has 150 bones.) and ((20 * 0) > (-4 * -2))) and (not not (2022 is a le... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 83131772,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not ((not not ((The chemical sym... |
logic-v2 | 研究以下逻辑语句：
A. not not (((钙的化学符号是Al。) or (智利位于南美洲。)) or (not ((16 - -13) != (-6 * -8 * 3 * -3))))
B. (十一月有30天。) and (not not (螃蟹有8条腿。))
C. (((-9 + -10) != (1 - 14)) and (((2 % 6) >= (1 ** 3)) and (366是完全平方数。))) or ((月球绕地球运转。) or ((2 ** 2) > (-2 * 0 * 3 * 10)))
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,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 95730595,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not not (((钙的化学符号是Al。) or (智利位于南美洲。)) or (not ((16 - -13) != (-6 ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((鸡有2条腿。) and ((0 * -19) > (3 + 13)))
B. (((-10 + -18) >= (2 ** 3)) and ((6 * 6) <= (-12 * -8) <= (20 - -7))) and (((-15 + -12) > (17 + 15)) or (太阳绕地球运转。))
C. (3 ** 1) == (6 - -10)
D. not (not not (墨西哥的首都是墨西哥城。))
E. ((4 - 4) < (0 + -14) < (1 ** 3)) or (金在常温下是固体。)
F. (-16 * 14) == (0 * -2 - -4 *... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 94091531,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((鸡有2条腿。) and ((0 * -19) > (3 + 13)))\nB. (((-10 + -18... |
logic-v2 | Below are several boolean expressions:
A. ((((1927 is a leap year.) or (not (32 is less than or equal to 59.))) and (not (A beetle is an insect.)) and ((not ((-12 + 20) == (-18 + 13))) and (A ant has 6 legs.))) or (((13 - 11) == (2 + -6)) or (((The 1948 Olympics were held in London.) or ((-20 - -14) <= (-16 * -8))) or... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 33416560,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. ((((1927 is a leap year.) or (not (3... |
logic-v2 | 审视以下逻辑表达式：
A. ((11 + -17) == (3 * -3 + -1 * 1)) and (((蛇有8条腿。) and (1912年奥运会在雅典举办。)) and (not not (金星是距离太阳第2近的行星。)))
B. (not (((2 ** 2) >= (-10 - 0)) or (2040年是闰年。))) or (not not (not not (1924年奥运会在巴黎举办。)))
C. (((一月有31天。) and ((-19 + 13) != (19 + -1))) or (not (第一部iPhone发布发生在2007年。))) or ((not not (海王星是距离太阳第8近的行星。)) a... | {
"game_data": {
"answer": "B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 8796471,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. ((11 + -17) == (3 * -3 + -1 * 1)) and (((蛇有8条腿。) and (1912年... |
logic-v2 | 下面是几个布尔表达式：
A. not ((2016年奥运会在里约热内卢举办。) or (2008年奥运会在北京举办。))
B. ((((3 - -5) <= (-14 - 10)) or ((2 ** 3) > (25 % 3))) and ((47 % 2) >= (10 - 11))) and (not not ((奥地利的首都是曼谷。) and (鲨鱼是哺乳动物。)))
C. (not ((10 * -14) != (-3 - 17))) or ((汞的化学符号是Hg。) and ((印度尼西亚的首都是安卡拉。) or ((7 * -3 - 10 * -10) != (-20 - -15))))
D. ((鲸鱼是鸟类。) a... | {
"game_data": {
"answer": "C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 59107375,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not ((2016年奥运会在里约热内卢举办。) or (2008年奥运会在北京举办。))\nB. ((((3 - -5)... |
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