env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Below are several boolean expressions:
A. (13 + -11) <= (2 ** 3) <= (-1 * -15)
B. (((-6 - 4) <= (18 * -13)) and (The capital of Egypt is Bucharest.)) and (Carbon dioxide is a gas at room temperature.)
C. not (((5 ** 1) != (1 - -8)) and (A butterfly has 4 legs.))
D. not not (((-15 * -15) != (-4 * -6 - 10 * -9)) and (Th... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 40031385,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (13 + -11) <= (2 ** 3) <= (-1 * -1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not (not (((((3 * 9 + -1 * -2) > (-18 + 13)) and ((-2 + 17) != (17 * -16))) or ((-15 + 3) < (-20 - 5) < (9 * 2 + -1 * 2))) or (not ((The currency of Israel is the Baht.) and (France is in Europe.))))))
B. not (not not ((not not ((60 ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 86517772,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Given the following boolean expressions:
A. not ((not ((((62 is greater than 17.) or (Earth is the 6th planet from the Sun.)) and ((Thailand is in Antarctica.) or ((-18 - -15) != (-17 - -15)))) or (((5 ** 1) > (4 * 2 + 10 * -8)) and (((11 - 9) <= (5 ** 2)) and ((-10 * -3 + 10 * 2) <= (20 * -12)))))) or ((((20 - 13) <=... | {
"game_data": {
"answer": "D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 43074635,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not ((not ((((62 is greater than... |
logic-v2 | Below are several boolean expressions:
A. (9 * 5) < (-6 * -3 + -4 * -5)
B. (3 ** 1) == (-5 * 7 * 9 * 10)
C. (not not (The currency of Singapore is the Krone.)) or ((8 * 9) < (7 * 15))
D. not (((10 + 5) < (7 * -15)) or ((10 * -9 + -7 * 0) >= (4 ** 3)))
Identify all expressions that are true. Answer with the option lab... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 81054534,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (9 * 5) < (-6 * -3 + -4 * -5)\nB. (3... |
logic-v2 | Evaluate each expression below:
A. (-5 - 17) < (4 ** 1) < (12 * -9)
B. ((-13 + -16) < (-3 + 0)) and (The currency of South Korea is the Pound.)
C. not (((-15 * -6) < (-4 * 6 - -4 * 6)) or (The Pacific Ocean is the largest ocean.))
D. (The 1956 Olympics were held in Helsinki.) and (The chemical symbol for Hydrogen is H... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 43308668,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (-5 - 17) < (4 ** 1) < (12 * -9)\nB. ((-13 + ... |
logic-v2 | Below are several boolean expressions:
A. (not (not (A fish has 6 legs.))) or (((Air is a gas at room temperature.) and (There are 31 days in December.)) or ((((13 % 5) >= (-5 - -8)) and ((-5 * -4 + 10 * 0) <= (-5 - 18) <= (-8 * 1 * -6 * 0))) and (The Berlin Wall fell occurred in 1989.)))
B. (not not (not not ((-9 + 1... | {
"game_data": {
"answer": "A,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 31517352,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not (not (A fish has 6 legs.))) o... |
logic-v2 | 下面是几个布尔表达式：
A. not ((-3 * -8 - -2 * -7) == (0 * 10 - 8 * 2))
B. (((15 - 2) <= (3 ** 1)) or (钠的化学符号是Na。)) and (((1941年是闰年。) or ((0 * 1 * -7 * -9) <= (9 * -10 * 4 * 3))) and ((以色列的货币是谢克尔。) and ((10 - -7) >= (2 ** 2))))
C. not ((氮的化学符号是Ni。) or (not ((6 * 3 - 4 * -9) != (-16 - -12))))
D. (not not ((7 * 4 * 4 * -10) >= (38... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 21155344,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not ((-3 * -8 - -2 * -7) == (0 * 10 - 8 * 2))\nB. (((15 - 2) ... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((((智利的首都是圣地亚哥。) and (((6 * -19) == (-3 - 15)) and ((2004年奥运会在北京举办。) and (丹麦的首都是哥本哈根。)))) and (((50 % 10) != (-4 - 16)) or ((-1 * -3 - -6 * -9) > (13 % 4)) or (((四月有30天。) or ((30 % 3) != (-15 * 15))) or ((火星是距离太阳最近的行星。) or ((5 ** 1) < (2 ** 3)))))) or (((巴西的首都是巴西利亚。) or (not not (((2 ** 3) <= (18... | {
"game_data": {
"answer": "A,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 15962167,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not not ((((智利的首都是圣地亚哥。) and (((6 * -19) == (-3 - 15)) and (... |
logic-v2 | Evaluate each expression below:
A. not ((not ((9 * 7 + 2 * -5) > (-3 + 0))) and (not not (Jupiter is the 1st planet from the Sun.)))
B. ((5 - 5) < (-12 * 11)) or (not (((3 ** 3) >= (19 + -6)) and ((7 - 19) >= (-16 + -12))))
C. (The capital of Saudi Arabia is Helsinki.) and ((5 - 14) != (-7 + 0))
D. ((The currency of N... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 39856463,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not ((not ((9 * 7 + 2 * -5) > (-3 + 0))) ... |
logic-v2 | 给定以下布尔表达式：
A. 鲤鱼是哺乳动物。
B. (2 + 17) <= (6 + 9)
C. not not ((大象是鸟类。) and (印度尼西亚位于欧洲。))
D. ((-6 * 9) < (-7 * 20)) and (not ((-9 + -6) != (-18 + -17)))
E. (((-3 * 6 + -8 * 4) == (1 ** 3)) and (第一次世界大战结束发生在1923年。)) and ((西班牙位于欧洲。) or (锌的化学符号是C。))
F. (not ((3 ** 2) < (0 + -10))) or (not (新西兰位于大洋洲。))
选出所有值为 True 的选项。在 \boxe... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 68243519,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. 鲤鱼是哺乳动物。\nB. (2 + 17) <= (6 + 9)\nC. not not ((大象是鸟类。) and (印度尼西亚位... |
logic-v2 | Analyze these boolean expressions:
A. ((-12 + -6) == (4 + 8)) or ((Wood is a liquid at room temperature.) or ((-19 * 0) != (-16 - 0))) or (((Sound travels faster in a vacuum.) and (The 1972 Olympics were held in Munich.)) or (A fly is an insect.))
B. (75 is a prime number.) and (The capital of Denmark is Jakarta.)
C. ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 37327065,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((-12 + -6) == (4 + 8)) or ((Wood is a... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not not ((((((20 - -4) == (5 + 17)) or (新西兰位于大洋洲。)) and ((16 * 0) != (12 - -18))) and ((-18 + 4) <= (1 ** 1) <= (2 ** 1))) and (not ((19 * 0) < (2 * -9 + -7 * 3))))) or ((not not ((((2 + -16) != (10 * 5 * 6 * -8)) or ((5 * 8 * -3 * 7) <= (16 % 4))) or (马来西亚的货币是林吉特。))) or (((油在常温下是液体。) or ((1 ... | {
"game_data": {
"answer": "A,C,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 86844278,
"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 ((((((20 - -4) == (5 + 17)) or (新西兰位... |
logic-v2 | Given the following boolean expressions:
A. (not (((not ((9 * 3 + -8 * 8) < (-16 * -2))) and (((-14 - 15) <= (-5 * 10 - 2 * -4)) or ((2 - 10) == (14 % 5))) and (((2 * -4 - 7 * 8) > (15 % 5)) or (not not (The chemical symbol for Silicon is Cr.)))) and (((7 * 4 - -8 * 8) <= (-14 - -11) <= (1 ** 3)) or (The capital of De... | {
"game_data": {
"answer": "A,B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 45800678,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. (not (((not ((9 * 3 + -8 * 8... |
logic-v2 | Evaluate each expression below:
A. not (((not (((The 1964 Olympics were held in Tokyo.) and ((-4 - 20) < (-16 + 13) < (2 ** 3))) or (((5 ** 3) == (-3 - -7)) and ((-12 - 2) <= (1 * 4 * 0 * 7))))) or (((18 + -9) <= (-18 * 17) <= (11 + 12)) and ((-3 * 15) != (8 * -9 - -5 * -4)))) or ((((4 + -10) == (8 * 0 + -2 * -6)) or ... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 30384264,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not (((not (((The 1964 Olympics were held in ... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((地球是距离太阳第3近的行星。) or ((-19 * 17) == (3 - 10)))
B. (((-13 * 15) > (43 % 9)) or (地球是距离太阳第5近的行星。)) or ((1932年奥运会在悉尼举办。) and (1941年是闰年。))
C. (not (墨西哥的首都是斯德哥尔摩。)) or (水星是距离太阳第1近的行星。)
D. 海王星是距离太阳第8近的行星。
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": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 65505527,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not not ((地球是距离太阳第3近的行星。) or ((-19 * 17) == (3 - 10)))\nB. (((... |
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 (1956年奥运会在洛杉矶举办。)) and ((1956年奥运会在墨尔本举办。) and (人类只使用了大脑的10%。))) or ((not not (铝的化学符号是Ag。)) or (埃及位于南极洲。))) or (((not (78是完全平方数。)) and (((9 + -6) < (1 ** 2) < (14 - 2)) or ((17 * -14) <= (-18 - 17)))) or ((not not (泰坦尼克号沉没发生在1912年。)) or (光速约为每秒30万公里。)))) and (not not ((564是斐波那契... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 19266149,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not (((((not (1956年奥运会在洛杉矶举办。)) and ((1956年奥运会在墨尔... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((not ((-11 * -16) == (5 ** 3))) and (((-1 - -6) < (10 * -9 - 5 * 2) < (5 ** 2)) or (罗马尼亚的首都是巴黎。)))
B. ((((1 ** 1) > (11 - -20)) and (1951年是闰年。)) and (not ((17 - -18) != (-2 * 4 - -9 * -2)))) and (第一次世界大战开始发生在1924年。) and (((印度尼西亚位于亚洲。) or ((1 * -11) >= (7 * 14))) and (not (匈牙利的货币是里拉。)))
C. ((11... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 89826223,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((not ((-11 * -16) == (5 ** 3))) and (((-1 - -6) < (10... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not ((not not (((Earth is the 2nd planet from the Sun.) or (Venus is the 2nd planet from the Sun.)) and ((-7 * -10 + 5 * -6) > (8 * -20)))) and (not (not not (Morocco is in North America.))))) or (not (((((The Titanic sank occurred i... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 72201856,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Consider the following logical expressions:
A. not not (((2 ** 1) <= (-10 * -10 * -2 * -9)) or ((2047 is a leap year.) and (Indonesia is in Asia.)) or ((not (Canada is in North America.)) or ((A frog has 6 legs.) or (A lobster has 10 legs.))))
B. ((((A tiger is a mammal.) and ((2 ** 3) <= (0 * -7 * 10 * 9))) or ((171 ... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 58759212,
"true_count": 5
},
"question": "Consider the following logical expressions:\n\nA. not not (((2 ** 1) <= (-1... |
logic-v2 | Review these logical expressions:
A. not not (((((19 % 7) < (17 + -10) < (3 * 11)) and ((Australia is in Asia.) or (The currency of Turkey is the Lira.)) and ((40 % 7) > (-7 * 3 * 1 * 6))) or ((not (((13 + 15) == (-16 * 2)) or (The Moon produces its own light.))) and ((Gold is a gas at room temperature.) or ((1931 is ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 24737528,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not not (((((19 % 7) < (17 + -10) < (3 * 11... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not (not not (not ((not not ((-13 - 2) != (-4 * 5))) and (not not ((-11 + 18) <= (-6 * -4 - 0 * -5) <= (7 - 8)))))))
B. not (not not (not not ((((14 - 4) > (5 - -10)) and ((575 is a Fibonacci number.) or (Mars is the closest planet t... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 98985449,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Evaluate each expression below:
A. ((((-2 * -20) < (10 * -9) < (-15 + 3)) or (Alcohol is a gas at room temperature.)) or ((not not (((-11 * 4) <= (13 * 9) <= (-19 - -5)) and (The 1948 Olympics were held in Helsinki.))) or ((15 % 2) != (19 % 3)))) or (not ((There are 30 days in April.) or ((not not (A chicken is a mamm... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 31425027,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. ((((-2 * -20) < (10 * -9) < (-15 + 3)) or... |
logic-v2 | Analyze these boolean expressions:
A. (not not ((((-12 * 0) <= (16 - -5) <= (-11 - 1)) or ((8 * -4 * -1 * -3) != (-13 + -7))) or (((1 ** 2) != (5 ** 1)) or ((-10 + 10) <= (3 - 12))))) and ((The currency of Australia is the Dollar.) and (((The chemical symbol for Sulfur is Mg.) or (Copper is a solid at room temperature... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 76489902,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. (not not ((((-12 * 0) <= (16 - -5) <... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((4 ** 3) == (-5 * 4 * -10 * 2)) or (Iron is a solid at room temperature.)) and (((0 - 3) == (11 + -18)) or (not not (The currency of Poland is the Koruna.))) and (not ((not ((5 ** 3) > (11 - 13))) or (not ((-14 * -19) >= (7 * 3)))))
B. ... | {
"game_data": {
"answer": "C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 4311760,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((11 - -19) >= (6 * -1 - 0 * 9)) and ((8 * -14) > (12 - -8))) and (((-7 - -4) != (-17 - -3)) or (((-1 - 18) > (-14 * -11)) or ((1 ** 2) >= (13 * -14))))) or (((A shark is a fish.) and (The 1952 Olympics were held in Helsinki.)) and (((-7 - -10) == (-2 * 10 - -4 * -7)... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 23438881,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((11 - -19) >= (6 * -1 - 0... |
logic-v2 | 评估以下每个表达式：
A. not (((not not ((2 % 1) <= (-10 * 2 + 6 * -7) <= (43 % 5))) and (not (1900年奥运会在巴黎举办。))) or (not ((not (巴西的货币是日元。)) and (((0 + 14) <= (-15 - 20) <= (-9 + -7)) and (1964年奥运会在东京举办。)))) or ((((67能被8整除。) or (((-3 + 19) <= (-9 * -19)) or (菲律宾的首都是内罗毕。))) or (光速约为每秒30万公里。) or (((11 + -17) >= (12 * -6)) and ((水星是... | {
"game_data": {
"answer": "B,C,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 59948473,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. not (((not not ((2 % 1) <= (-10 * 2 + 6 * -7) <= (43 % 5))) ... |
logic-v2 | 评估以下每个表达式：
A. not not (not not ((not (六月有30天。)) and (not (变色龙是爬行动物。))))
B. (((not ((6 * 4 * -10 * -10) < (-20 + -13) < (-20 - -20))) and ((((2020年奥运会在东京举办。) or (十一月有30天。)) or (not not (1980年奥运会在莫斯科举办。))) and (not not (49的平方根是7。)))) or ((not not (not not (((16 % 8) > (5 ** 3)) and ((-13 + 10) < (14 - 10) < (-2 - 16))))... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 12995639,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not (not not ((not (六月有30天。)) and (not (变色龙是爬行动物。))))\nB. (((n... |
logic-v2 | Review these logical expressions:
A. (((not not (Peru is in Oceania.)) and (((9 - 7) >= (2 ** 2)) or (A chicken is a bird.))) or (not ((1 - 14) != (-6 * -10 * -5 * -1)))) or (((((50 % 3) != (5 * -8)) or (2026 is a leap year.)) or (The capital of Sweden is Stockholm.)) or ((((15 - 20) < (17 + 18)) and (The capital of A... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 87825192,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (((not not (Peru is in Oceania.)) and (((... |
logic-v2 | Below are several boolean expressions:
A. (not not ((The currency of Turkey is the Zloty.) and ((-5 * 0 - 1 * -4) >= (13 * 13)))) or (Sharks are mammals.)
B. (((The Sun revolves around the Earth.) or (The 1964 Olympics were held in Tokyo.)) and (not (There are 31 days in January.))) and (29 is divisible by 10.) and ((... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 47476017,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (not not ((The currency of Turkey is t... |
logic-v2 | Analyze these boolean expressions:
A. not (not not (A lion is a bird.))
B. (((not not (1946 is a leap year.)) and ((The 1928 Olympics were held in Amsterdam.) or (The capital of New Zealand is Brussels.))) and (((17 - -14) > (-12 + 16)) or (The currency of Turkey is the Naira.))) or ((Jupiter is the 5th planet from th... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 45440666,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not (not not (A lion is a bird.))\nB... |
logic-v2 | 检验这些表达式：
A. (not not ((not (((13 - 9) <= (26 % 2)) or ((印度尼西亚的首都是北京。) and (镍的化学符号是N。)))) or (((-9 * 6 + 1 * 1) != (-15 + 14)) or (not not (龙虾有8条腿。))) or (((-15 - -11) == (-19 + 14)) or ((9 * -5 * 4 * 3) < (39 % 4))))) and ((not ((((19 + -4) <= (-2 * -7)) or (((15 * 6) != (-2 + 19)) or ((-11 * -6) != (-19 + 10)))) or (... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 46264565,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (not not ((not (((13 - 9) <= (26 % 2)) or ((印度尼西亚的首都是北京。) and (镍的化学符... |
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 (((((135是斐波那契数。) or ((-1 - -12) < (12 * 10) < (19 * 8))) or (((13 + 18) <= (4 ** 1)) or (65是奇数。))) and (((捷克的货币是克朗。) or (2000年奥运会在悉尼举办。)) or ((-12 - -6) != (19 + 0)))) and (not not ((not (蛇有0条腿。)) or (天王星是距离太阳第7近的行星。)))))
B. not (((not (日本的首都是加拉加斯。)) or ((not (((-13 - -1) <= (... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 49845957,
"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 (((((135是斐波那契数。) or ((-1 - -12) < ... |
logic-v2 | 审视以下逻辑表达式：
A. ((not (((19 + 20) != (-9 - -19)) or (not (木星是距离太阳第5近的行星。)))) and ((not (水星是距离太阳第1近的行星。)) or ((not (not not ((3 * -10 + -1 * -1) < (17 + 9)))) or ((1912年奥运会在斯德哥尔摩举办。) and ((地球绕太阳运转。) or ((6 * -2 - 0 * -4) >= (-15 - 13))))))) and (not ((not (钾的化学符号是K。)) and ((((1 % 1) >= (-9 * -12)) and (((0 * -5 - 2 * 4) ... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 98536274,
"true_count": 5
},
"question": "审视以下逻辑表达式：\n\nA. ((not (((19 + 20) != (-9 - -19)) or (not (木星是距离太阳第5近的行星。))... |
logic-v2 | Given the following boolean expressions:
A. not not ((Water is a liquid at room temperature.) or ((14 - -4) != (14 - 1)))
B. (not (The capital of Egypt is Ankara.)) or (not not (The capital of Brazil is Brasilia.))
C. ((The 2020 Olympics were held in Tokyo.) and (There are 31 days in January.)) and (The currency of Is... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 70983075,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not ((Water is a liquid at r... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not not ((-5 * 0 - -10 * -6) > (37 % 5))) and (((-17 - 10) == (-9 - -9)) or ((3 ** 1) == (1 + 11)))
B. 铜的化学符号是Cu。
C. ((天王星是距离太阳第7近的行星。) and (鱼有6条腿。)) and (((-13 + 11) <= (3 - -20)) and (1968年奥运会在墨西哥城举办。))
D. 埃及位于北美洲。
E. (2 % 4) <= (-5 + 16)
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,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 90953826,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (not not ((-5 * 0 - -10 * -6) > (37 % 5))) and (((-17... |
logic-v2 | Review these logical expressions:
A. (not (not not ((1962 is a leap year.) or ((United States is in Antarctica.) or (The human body has 150 bones.))))) and (not ((((-2 + -10) == (-14 + 8)) and ((15 - 14) > (-17 + -16))) and ((20 % 4) <= (-18 + -12)))) and ((not ((12 * -12) == (5 * 7 * -5 * -5))) or ((not not (not not ... | {
"game_data": {
"answer": "A,B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 50489247,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. (not (not not ((1962 is a leap year... |
logic-v2 | 审视以下逻辑表达式：
A. not ((not (土星是距离太阳第6近的行星。)) or (((2 * 4 + 1 * -5) >= (-18 + 15)) or (中国位于亚洲。)))
B. (((人类首次登月发生在1969年。) and (爱尔兰的首都是罗马。)) and ((3 - 19) < (3 ** 2) < (29 % 7))) or (冰的密度比液态水小。) or ((-17 + 2) <= (-2 * -7 * 9 * 1))
C. ((77是质数。) or ((木星是距离太阳第5近的行星。) or (瑞典的首都是柏林。))) or ((not not (人体有206块骨头。)) and (((4 ** 2) <... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 8831761,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not ((not (土星是距离太阳第6近的行星。)) or (((2 * 4 + 1 * -5) >= (-18 + 15)) ... |
logic-v2 | 给定以下布尔表达式：
A. not not (((not ((新西兰的货币是卢布。) and (人类首次登月发生在1974年。))) and ((not (人类每只手有五个手指。)) and (1948年奥运会在伦敦举办。))) or (not not (not not (巴西位于南美洲。))) or (not (十月有31天。)))
B. ((((8 * -8 + -4 * 9) <= (7 * -9)) and (((-19 - -10) <= (9 * -1 * 9 * 0)) or (not ((3 ** 3) <= (-6 - 2))))) and (((13 % 7) >= (3 ** 3)) or ((not ((-... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 63671719,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. not not (((not ((新西兰的货币是卢布。) and (人类首次登月发生在1974年。))) and ((not... |
logic-v2 | 审视以下逻辑表达式：
A. (((not ((320是斐波那契数。) and (铁的化学符号是Fe。))) and (鲱鱼是昆虫。)) or (not not ((not ((3 ** 1) <= (13 * -15))) and (((7 * 4) > (3 * -2 + -6 * 5)) or (印度位于亚洲。))))) and (((not ((4 * -10 + -10 * 2) >= (9 * 8 - -1 * 6))) or ((not not (21是奇数。)) and ((声音在真空中传播更快。) or (1931年是闰年。)))) and (土星是距离太阳第2近的行星。) and (not ((((14 - -6... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 93413011,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. (((not ((320是斐波那契数。) and (铁的化学符号是Fe。))) and (鲱鱼是昆虫。)) or (not not ... |
logic-v2 | Analyze these boolean expressions:
A. not not ((The capital of Denmark is Copenhagen.) or (The currency of Switzerland is the Franc.))
B. (not (The square root of 9 is 3.)) or ((9 + 7) <= (14 * -1) <= (1 * -6 - -3 * 3))
C. Humans only use 10% of their brain.
D. ((16 * -7) < (4 ** 3) < (13 - 20)) and (not (The 2004 Oly... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 6607891,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not not ((The capital of Denmark is Copenha... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((20 + -4) < (5 * -20)) or (苏联解体发生在1991年。)) or ((not not (天王星是距离太阳第7近的行星。)) or ((19 + 18) != (4 * -8 * 0 * 10))) or (((((3 ** 1) != (9 * 3 * 3 * 5)) or ((2 - -7) < (3 ** 3))) or (not not ((-10 - -8) < (-6 * 7)))) and (((十二月有31天。) or (青蛙有4条腿。)) and ((企鹅能飞翔。) and (铁的化学符号是Fe。))))
B. (((氦的化学符号是Ni... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 49490611,
"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. (((20 + -4) < (5 * -20)) or (苏联解体发生在1991年。)) or ((not n... |
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 ((-4 + 11) < (12 - -15)))) and ((not (((9 - 8) <= (4 ** 2)) and (法国位于欧洲。))) and (以色列的货币是韩元。)))
B. not not (not not (((not (电流比光速更快。)) or ((鲤鱼是鱼类。) and (中国位于南极洲。))) and (111是偶数。)))
C. ((not (((-9 - 0) >= (-6 - -8)) or (氖的化学符号是Ne。))) or (not ((((-8 + 6) == (14 * 11)) or ((-11 ... | {
"game_data": {
"answer": "A,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 29550817,
"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. not ((not not (not ((-4 + 11) < (12 - -15)))) a... |
logic-v2 | 给定以下布尔表达式：
A. not ((((10 + 15) >= (-16 * 9)) and (法国位于欧洲。)) or (新加坡的货币是新加坡元。))
B. (not not ((1932年奥运会在洛杉矶举办。) and ((12 * 14) == (-14 - 11)))) and ((not not ((-8 * 0 + -8 * 9) < (-4 + -4))) or ((肯尼亚的首都是北京。) and ((10 * 9 * -10 * -5) >= (19 * 19))))
C. 水在海平面上的沸点是100摄氏度。
D. not (((秘鲁位于南极洲。) or ((-11 * -4) > (-10 * -4))) o... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 77913028,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not ((((10 + 15) >= (-16 * 9)) and (法国位于欧洲。)) or (新加坡的货币是新加坡元。))\n... |
logic-v2 | Evaluate each expression below:
A. not ((not not (Carbon dioxide is a solid at room temperature.)) and ((The 1936 Olympics were held in Berlin.) or (The United States declared independence occurred in 1776.)))
B. not not (The currency of Norway is the Krone.)
C. (The chemical symbol for Gold is Au.) and (((3 ** 2) <= ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 58402358,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. not ((not not (Carbon dioxide is a so... |
logic-v2 | Evaluate each expression below:
A. not ((not not (The first iPhone was released occurred in 2007.)) and (((-17 + 3) >= (16 * 11)) and (((A dog is a fish.) or (The first Olympic Games of modern era occurred in 1896.)) or ((5 * 9 + -9 * -5) <= (12 * 18)))))
B. not (not (not (not not ((-9 * -17) > (10 * -2 + 5 * -2)))))
... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 42664061,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. not ((not not (The first iPhone was r... |
logic-v2 | Analyze these boolean expressions:
A. ((not (Oil is a liquid at room temperature.)) and (not ((1 ** 2) == (7 * -3 + 0 * 1)))) or ((((-16 + -11) == (14 * -8)) or (not (21 is divisible by 5.))) or (36 is less than or equal to 86.) or ((The first iPhone was released occurred in 2007.) or (not not (((2 * -7 - 10 * -3) > (... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 19072181,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. ((not (Oil is a liquid at room temperatu... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (not not (((2 + -18) != (-5 * -6 - 2 * -10)) or ((Steam is a gas at room temperature.) and (68 is less than or equal to 56.))))
B. (((((-9 * 2 - -4 * -8) <= (-19 * 4) <= (-10 * 9 * 0 * -8)) or ((15 + 15) < (13 + 2))) or (((14 % 9) != (-20 * -7)) and ((4 + 15) < (1 ... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 89421321,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (not not (((2 + -18) !... |
logic-v2 | Review these logical expressions:
A. not not (((11 % 1) < (-9 + -4) < (8 * 6 + 2 * -9)) and ((3 % 10) != (11 - 0)))
B. (((27 % 2) != (-5 * 0 * -10 * 6)) and ((-18 + 13) < (-4 * -7) < (-2 * -6))) and (((-19 - -18) <= (-15 - -7) <= (-7 * -8)) or ((0 * -10 - 9 * -8) > (-10 - -12)))
C. (((-16 * 4) > (17 * 19)) and (World ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 63279050,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not not (((11 % 1) < (-9 + -4) < (8 * 6 +... |
logic-v2 | 审视以下逻辑表达式：
A. ((not (巴西的首都是巴西利亚。)) and ((5 ** 2) < (34 % 2) < (1 - 9))) or ((-14 - 15) == (1 ** 3))
B. (2小于等于1。) and (((12 - 3) > (16 % 9)) and (冰的密度比液态水小。)) and (丹麦的首都是安卡拉。)
C. (((哥伦比亚的货币是英镑。) or (法国的首都是巴黎。)) and (not ((-2 * -16) >= (9 - 6)))) or ((空气在常温下是气体。) and (俄罗斯位于欧洲。)) or (铀的化学符号是U。)
D. ((((-9 * -5 - -10 * -4)... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 55770236,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((not (巴西的首都是巴西利亚。)) and ((5 ** 2) < (34 % 2) < (1 - 9))) or (... |
logic-v2 | Evaluate each expression below:
A. not (not ((-6 + 0) < (2 + 11)))
B. not (not (not (France is in Africa.)))
C. not not ((There are 30 days in April.) or ((Humans only use 10% of their brain.) or ((20 + -12) <= (-8 + 20) <= (3 ** 1))))
D. ((-15 + 2) < (1 ** 3)) and ((Jupiter is the 1st planet from the Sun.) and (The c... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 16499504,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (not ((-6 + 0) < (2 + 11)))\nB. not (... |
logic-v2 | 研究以下逻辑语句：
A. not not (((地球绕太阳运转。) or ((3 % 1) <= (2 ** 1))) or (((2 + -9) < (-18 + 19) < (12 + 7)) or (英国位于欧洲。)))
B. ((智利的货币是比索。) and (not not (木星是距离太阳第4近的行星。))) or ((((3 ** 3) > (20 * 6)) or (蝴蝶是昆虫。)) and ((澳大利亚位于亚洲。) and (大象有4条腿。)))
C. not (鸟有2条腿。)
D. not ((((9 * -4 - -5 * -3) <= (18 + 3)) or ((11 * 11) != (-20 + -1... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 99695129,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not not (((地球绕太阳运转。) or ((3 % 1) <= (2 ** 1))) or (((2 + -9) < (-... |
logic-v2 | 分析以下逻辑表达式：
A. ((((人类只使用了大脑的10%。) or (声音无法在真空中传播。)) and (not not (((4 ** 2) > (6 * 4 - 4 * 3)) and (太平洋是最大的海洋。)))) or ((not (((-15 + 15) < (24 % 10) < (1 ** 3)) or (2016年奥运会在里约热内卢举办。))) and (not (not not (埃及位于亚洲。))))) and (((第一次世界大战结束发生在1913年。) and (((-20 + 1) < (4 + 18)) and ((-3 - 17) > (20 * -8))) and (((锌的化学符号是Si。)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 92018247,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. ((((人类只使用了大脑的10%。) or (声音无法在真空中传播。)) and (not not (((4 ** 2) > (6 ... |
logic-v2 | 审视以下逻辑表达式：
A. not (not (((波兰的货币是日元。) and (土耳其的货币是欧元。)) and ((-4 - 6) == (-1 * -3 - 6 * 10))))
B. not ((((12 * 1) < (10 * -2)) and ((鳟鱼是昆虫。) or ((5 ** 2) == (-12 + 8)))) and (not not (新加坡的货币是瑞士法郎。)))
C. not (((2 * 9 + 3 * -9) < (19 * -16) < (17 * 1)) or ((-6 * -4 - 1 * 6) <= (41 % 4) <= (4 - 16)))
D. (not (((哥伦比亚的货币是奈拉... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 14406321,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not (not (((波兰的货币是日元。) and (土耳其的货币是欧元。)) and ((-4 - 6) == (-1 * ... |
logic-v2 | Consider the following logical expressions:
A. The 1900 Olympics were held in Paris.
B. (United States is in North America.) or ((1 - -19) <= (1 - 12))
C. ((Alcohol is a liquid at room temperature.) or ((-5 * -4) < (11 - 15) < (-2 * 0 + 7 * 3))) and (not not (The 1996 Olympics were held in Los Angeles.))
D. (((14 * 2)... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 50084119,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. The 1900 Olympics were held in ... |
logic-v2 | 给定以下布尔表达式：
A. (not (铅的化学符号是Zn。)) or (2064年是闰年。) or (((日本的首都是东京。) or ((氖的化学符号是Ne。) and ((5 ** 1) == (20 - -1)))) and (波兰的首都是华沙。) and ((-4 + -2) < (4 * -1 + 0 * 9) < (4 * 9)))
B. (((not ((-19 + 18) < (0 * -4 * 8 * 0))) or ((土星是距离太阳第1近的行星。) or ((-2 * 4 - 10 * 8) != (6 * 2 - -2 * 4)))) and (((铝的化学符号是Al。) and ((4 ** 2) < (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 5498255,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not (铅的化学符号是Zn。)) or (2064年是闰年。) or (((日本的首都是东京。) or ((氖的化学符号是Ne。)... |
logic-v2 | 给定以下布尔表达式：
A. not not (((7 * 19) < (-7 * -4 + 8 * -2) < (4 ** 1)) and (意大利的首都是安卡拉。))
B. ((俄罗斯的首都是墨西哥城。) or ((18 + 2) < (8 * 10) < (7 - -4))) and (新西兰位于南极洲。)
C. ((1996年奥运会在亚特兰大举办。) and ((10 + -18) >= (3 * 10))) or (((2 * 8) <= (9 - -11)) or ((48 % 8) != (-18 * -15)))
D. (-1 * -10) >= (10 * -8 + 2 * 1)
E. (not ((16 + 1)... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 34667083,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. not not (((7 * 19) < (-7 * -4 + 8 * -2) < (4 ** 1)) and (意大利... |
logic-v2 | 评估以下每个表达式：
A. not ((((((第一次世界大战开始发生在1914年。) and (蜘蛛有10条腿。)) and ((92小于等于38。) and (挪威的货币是克朗。))) and ((2 ** 2) >= (16 + 12))) and ((not (2020年奥运会在东京举办。)) or (((-6 * -20) < (4 * 0 * 0 * -6)) or (((25 % 8) != (-4 * 0)) or (企鹅是鸟类。))))) and ((((not not ((12 * 0) != (1 * -14))) and (not (第一部iPhone发布发生在2012年。))) and (西班牙的首都是华... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 53403771,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not ((((((第一次世界大战开始发生在1914年。) and (蜘蛛有10条腿。)) and ((92小于等于38。) a... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not ((Mexico is in North America.) and (The chemical symbol for Nitrogen is Pb.))) or ((The chemical symbol for Sulfur is Fe.) and (Humans only use 10% of their brain.)) or (not (not ((-7 - -9) > (-3 * 2 * 9 * -1))))
B. not ((((-4 + ... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 78344049,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Evaluate each expression below:
A. The 2012 Olympics were held in London.
B. not (not not ((3 ** 3) > (2 ** 3)))
C. (not not ((4 + 18) != (-3 - 11))) and ((The capital of South Korea is Ottawa.) and ((18 - -2) != (-9 * -20)))
D. Neptune is the 6th planet from the Sun.
E. (not not ((-7 + 1) != (2 + 14))) and ((A tuna i... | {
"game_data": {
"answer": "A,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 63477364,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. The 2012 Olympics were held in London.\... |
logic-v2 | Review these logical expressions:
A. ((99 is a prime number.) or ((((-5 - -10) > (-18 * 8)) and (The currency of Nigeria is the Naira.)) or ((7 % 5) > (-19 + 14)))) or ((((17 is a prime number.) and ((7 * -1 - -6 * 10) <= (2 ** 1))) or (The chemical symbol for Cobalt is Ti.)) and ((((1 * -13) <= (14 * -10)) and (The c... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 59014854,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. ((99 is a prime number.) or ((((-5 - -1... |
logic-v2 | 检验这些表达式：
A. ((not not ((not ((-17 + -3) == (8 + 11))) and (((4 * 4 - -9 * -10) < (-10 - -11)) and (人类每只手有五个手指。)))) or (not not ((not (木头在常温下是固体。)) and (not (越南的首都是河内。))))) and ((((not not (75能被8整除。)) or (((21 % 10) < (15 - -20)) and ((-14 + 17) == (-2 * 14)))) and ((((13 * 10) < (17 - 11) < (11 * 13)) and ((-10 * 7 - ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 33249943,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. ((not not ((not ((-17 + -3) == (8 + 11))) and (((4 * 4 - -9 * -10)... |
logic-v2 | 检验这些表达式：
A. not not ((not (((17 + 20) > (5 * -6)) or (15是质数。))) or (((-13 - 17) >= (2 + -12)) or ((15 - 15) < (-18 * 17))) or ((10 * 7 + 5 * -1) != (0 + 9)))
B. not not ((not (((14 * 0) == (-5 * 9 * -9 * -9)) or (铁的化学符号是Fe。))) or ((457是斐波那契数。) or (2020年奥运会在洛杉矶举办。)) or (埃及的首都是开罗。))
C. (((30 % 5) == (-12 + -18)) and (((... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 78643220,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not not ((not (((17 + 20) > (5 * -6)) or (15是质数。))) or (((-13 - 17... |
logic-v2 | 下面是几个布尔表达式：
A. not not ((((not not (not not (2020年奥运会在东京举办。))) and ((((19 + 9) < (-10 - -2) < (-8 * -14)) or ((-11 * 1) == (0 * 10))) or (碳的化学符号是He。))) or (not not ((not not ((-4 * -1 + -3 * -7) >= (19 - -17))) and ((氢的化学符号是H。) and ((-8 * 5 + 0 * -5) < (9 * -1 * -5 * -1)))))) or (((德国位于欧洲。) or (not (((10 - 7) == (-3 *... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 59237245,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. not not ((((not not (not not (2020年奥运会在东京举办。))) and ((((19 ... |
logic-v2 | 研究以下逻辑语句：
A. (31 % 2) <= (-10 * -3 + -5 * -5) <= (2 + 5)
B. (7 * -7 - -7 * 10) <= (-8 * -15) <= (2 ** 3)
C. (((1 - -20) >= (5 - 16)) or (铝的化学符号是Na。)) or (not not ((4 + -2) > (11 % 9)))
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": 3,
"seed": 76128787,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (31 % 2) <= (-10 * -3 + -5 * -5) <= (2 + 5)\nB. (7 * -7 - -7 * 10) ... |
logic-v2 | 研究以下逻辑语句：
A. not not (((6 * 6 * -8 * -10) != (-20 - 9)) or (钛的化学符号是Ne。))
B. (18 + -5) < (6 * -2 + 6 * 10) < (3 - 20)
C. ((16 - 6) < (46 % 9)) and ((哥伦比亚位于南美洲。) and (2009年是闰年。))
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": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 36379445,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not not (((6 * 6 * -8 * -10) != (-20 - 9)) or (钛的化学符号是Ne。))\nB. (18... |
logic-v2 | 分析以下逻辑表达式：
A. not ((10 - 4) <= (0 * -6 * -8 * -10))
B. ((1的平方根是1。) or ((新西兰的首都是布鲁塞尔。) and ((3 ** 3) > (2 ** 2)))) and (1992年奥运会在巴塞罗那举办。)
C. ((((18 % 10) <= (4 ** 2)) or ((-15 - 16) != (-17 - 14))) and (((8 + -12) > (22 % 8)) and (鲨鱼是哺乳动物。))) and ((-10 + -13) > (3 ** 1))
判断哪些表达式为真。在 \boxed{} 中列出所有为真的选项，用逗号分隔。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 80330378,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not ((10 - 4) <= (0 * -6 * -8 * -10))\nB. ((1的平方根是1。) or ((新西兰的首... |
logic-v2 | Consider the following logical expressions:
A. (((19 % 8) < (47 % 8)) or ((Bats are blind.) or (not not (Mercury is the 1st planet from the Sun.)))) and (((11 - 12) <= (-14 - -18)) and (not (((2 ** 1) > (-16 - 15)) and ((5 ** 2) > (-16 * 18)))))
B. not not (((Wood is a gas at room temperature.) and ((There are 28 days... | {
"game_data": {
"answer": "D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 74094404,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (((19 % 8) < (47 % 8)) or ((B... |
logic-v2 | 下面是几个布尔表达式：
A. (not not ((((((-2 - 5) > (-12 - 9)) and ((-2 + 20) <= (-8 + 18))) and ((-9 * 6 - 3 * -10) <= (-3 * -6 + 2 * 9))) or ((9 * -2) < (-4 - 11))) and (((3 + 12) <= (0 + 13) <= (9 % 1)) or (蟑螂是昆虫。)) and (not not (not (((-3 - 5) < (20 % 3)) and ((4 * -7 * -2 * 0) < (17 + 3))))))) and ((not ((越南的货币是越南盾。) and (((... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 32258874,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (not not ((((((-2 - 5) > (-12 - 9)) and ((-2 + 20) <= (-8 + 18)... |
logic-v2 | Consider the following logical expressions:
A. (not (not not ((not (Mars is the closest planet to the Sun.)) and ((-19 * -3) > (-2 * -10 + -5 * 8))))) and (((not (((-17 * 12) >= (-2 * 6 + 9 * -7)) or (The 1964 Olympics were held in Athens.))) and (not not (not ((5 ** 1) != (-13 - -19))))) and ((A dog has 4 legs.) and ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 71384032,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. (not (not not ((not (Mars is the ... |
logic-v2 | 审视以下逻辑表达式：
A. (((-19 + 16) <= (-15 * 11)) and (意大利的首都是罗马。)) and (((-13 + -20) < (10 * -3 - -9 * 9)) or (第一次世界大战结束发生在1918年。))
B. not not (((12 + -16) >= (20 - -9)) or (木星是距离太阳第5近的行星。))
C. (海王星是距离太阳第5近的行星。) and (金的化学符号是Au。)
D. not not ((29是质数。) and ((1 ** 1) <= (15 + -9)))
E. (((-1 * -9 - -3 * 8) >= (-17 + 12)) or (木星是距... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 23770493,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (((-19 + 16) <= (-15 * 11)) and (意大利的首都是罗马。)) and (((-13 + -20... |
logic-v2 | 下面是几个布尔表达式：
A. not (not not (马来西亚的货币是林吉特。))
B. not (((蜘蛛有0条腿。) or ((0 + 2) > (29 % 1))) and (袋鼠有100条腿。))
C. not not ((9 + 5) <= (8 - 12))
D. (((8 + 12) == (-9 * 10)) and ((20 - 2) <= (7 + -18))) or (86是奇数。)
E. ((((-14 * -11) != (49 % 8)) or (22小于等于25。)) or (((7 - -14) < (-7 * 8)) or (1945年是闰年。))) or (not not ((氯的化学符号是... | {
"game_data": {
"answer": "B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 71950456,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not (not not (马来西亚的货币是林吉特。))\nB. not (((蜘蛛有0条腿。) or ((0 + 2) > ... |
logic-v2 | Evaluate each expression below:
A. (not not (((((-6 * -3 + 1 * -6) != (10 % 7)) and (Air is a gas at room temperature.)) or ((-12 * 16) >= (-4 - 16))) or (not not ((The 1960 Olympics were held in Rome.) and ((3 - -2) > (2 ** 1)))))) and (not not (((not ((6 * 3 * 3 * -10) > (-9 - 10))) or (A peacock is a bird.)) and ((... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 24600068,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. (not not (((((-6 * -3 + 1 * -6) != (10 % 7)) ... |
logic-v2 | Review these logical expressions:
A. not ((((The 2004 Olympics were held in Athens.) or (The 1964 Olympics were held in Tokyo.)) or (Earth is the 7th planet from the Sun.)) or ((Earth is the 3rd planet from the Sun.) or ((6 % 3) < (9 * -5 + -6 * 7))) or (((Water is a liquid at room temperature.) and (Venus is the 8th ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 55551715,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not ((((The 2004 Olympics were held in Athe... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((not not (not ((49 % 3) < (20 * 12) < (10 - 11)))) and (not not ((34 % 2) <= (-6 * 12) <= (-9 * -17))) and (((((-11 + -5) <= (-4 + 15) <= (18 * -19)) and (not (There are 29 days in June.))) or (((3 ** 3) < (-8 * -10 - 10 * 10) < ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 53894995,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Study the following logical statements:
A. ((not (not (not not (Saturn is the 2nd planet from the Sun.)))) and (((not not ((-4 + -13) > (-15 - 3))) and ((9 - -9) <= (-13 - -16) <= (12 * 14))) or (Germany is in Antarctica.) or ((The chemical symbol for Calcium is Ca.) and (not not (2044 is a leap year.))))) and ((not (... | {
"game_data": {
"answer": "B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 25641122,
"true_count": 6
},
"question": "Study the following logical statements:\n\nA. ((not (not (not not (Saturn... |
logic-v2 | Evaluate each expression below:
A. not (not not (not ((1935 is a leap year.) or (Oil is a solid at room temperature.))))
B. not not ((not not (not not (2082 is a leap year.))) and (((not ((34 % 5) <= (2 ** 1))) or (Thailand is in Antarctica.)) and (((-2 - 2) < (-7 * -8 + 1 * -9)) or (not (126 is an even number.)))) an... | {
"game_data": {
"answer": "D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 99607769,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (not not (not ((1935 is a leap year.)... |
logic-v2 | Below are several boolean expressions:
A. not not (not not ((not ((-5 * 3 + -10 * -6) <= (-16 * 0))) and (not (not not (not (Iron is a solid at room temperature.))))))
B. not not ((not ((A lobster has 10 legs.) or ((The currency of Nigeria is the Naira.) and ((16 * 16) < (-7 + -4))) or ((8 * 2 - -2 * 4) > (-20 + -2)))... | {
"game_data": {
"answer": "A,C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 98608145,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. not not (not not ((not ((-5 * ... |
logic-v2 | Examine these expressions:
A. not (not not ((not (A human has 2 legs.)) and (not not (not not (Oil is a liquid at room temperature.))) and (not not (((7 * -8 + -8 * 9) <= (20 * -16)) and (not not ((4 ** 2) >= (12 + 6)))))))
B. not not ((((not (not ((20 + -9) < (22 % 9) < (2 ** 2)))) or ((The 1968 Olympics were held in... | {
"game_data": {
"answer": "A,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 91909928,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (not not ((not (A human has 2 legs.)) and ... |
logic-v2 | Given the following boolean expressions:
A. not (not ((not not ((not ((-8 + 17) == (-3 * -9 * 8 * -10))) and (not (The capital of Venezuela is Caracas.)))) and (((not not ((13 - 11) <= (17 * 19))) and (not not (The 1900 Olympics were held in London.))) and (not (Diamonds are made of carbon.)) and (Vietnam is in North ... | {
"game_data": {
"answer": "B,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 14091829,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. not (not ((not not ((not ((-8 ... |
logic-v2 | Analyze these boolean expressions:
A. ((1 % 2) < (-5 * -13) < (-13 - -2)) or ((Air is a gas at room temperature.) and (2011 is a leap year.)) or ((2 ** 2) <= (4 * -1 + 0 * 2))
B. ((((9 * -1) != (10 * -3 + -4 * 1)) and (Saudi Arabia is in Europe.)) and (not ((-13 - -7) != (-9 * -5 * -1 * -6)))) and (A elephant has 0 le... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 1534443,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. ((1 % 2) < (-5 * -13) < (-13 - -2)) or ((Ai... |
logic-v2 | Consider the following logical expressions:
A. not not ((not (not not ((((9 + 4) == (12 + 6)) or (The capital of Philippines is Manila.)) or ((The Berlin Wall fell occurred in 1989.) or (A pig has 4 legs.))))) or (not not (((not not (There are 28 days in August.)) and (not (The 1992 Olympics were held in Tokyo.))) and... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 69114547,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not not ((not (not not ((((9 + 4)... |
logic-v2 | Review these logical expressions:
A. not (((There are 31 days in March.) or ((not (62 is divisible by 6.)) and (not not ((1 ** 1) >= (2 ** 2))))) or ((not not ((-13 + 7) != (-16 - -13))) and ((The Pacific Ocean is the largest ocean.) or (The Great Fire of London occurred in 1666.))) or (((-5 * 7 - 9 * 7) != (-10 - -19... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 81361796,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not (((There are 31 days in March.) or ((no... |
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 ((((5 ** 1) != (17 - 3)) or (not (人体有206块骨头。)) or ((((-5 * -11) < (4 * -10 - -1 * -4)) or (天王星是距离太阳第7近的行星。)) and (越南位于亚洲。))) or ((not not (1912年奥运会在雅典举办。)) or ((not not (狗有4条腿。)) and (not not ((1 + -12) <= (-1 - 19) <= (-16 + -2)))))))
B. not (not (not ((not not ((金鱼是昆虫。) and (鳟鱼是... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 35948298,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not (not not ((((5 ** 1) != (17 - 3)) or (not (人体有206块骨... |
logic-v2 | 考虑以下布尔表达式：
A. not not (not not ((not (not not ((-5 * 0 + -8 * 2) < (5 % 2) < (4 * 12)))) or ((not not (((-5 * 8 - 7 * 3) == (-20 * -3)) and (1928年奥运会在阿姆斯特丹举办。))) and (((马是鱼类。) and ((6 + -9) <= (3 ** 2) <= (4 ** 3))) or (((4 * 10 - 4 * 4) <= (12 - 6)) and ((15 - -2) < (-2 * 10)))))))
B. not not ((not not ((柏林墙倒塌发生在1989... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 88469782,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. not not (not not ((not (not not ((-5 * 0 + -8 * 2) < (5 % 2) <... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not (not (not ((43 is divisible by 2.) or ((-17 - -1) > (18 * 6))))))) and (not not ((not (The currency of Malaysia is the Ringgit.)) or (The currency of China is the Yuan.) or (((not (Water boils at 100 degrees Celsius at sea level.)) and (Helium is a liquid at room tem... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 11165464,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not (not (not ((43 is divisible ... |
logic-v2 | Consider the following logical expressions:
A. (-8 * 16) != (20 - -5)
B. not (not not (The 1988 Olympics were held in London.))
C. not not (not (The 1936 Olympics were held in Berlin.))
D. not not (The chemical symbol for Iron is Ti.)
Determine which expressions are true. List all true option labels separated by comm... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 43710152,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (-8 * 16) != (20 - -5)\nB. not ... |
logic-v2 | Evaluate each expression below:
A. not (not not ((((-10 - -13) <= (10 * 10 - 10 * 5)) or ((not ((-9 * 20) < (50 % 1) < (4 * 5 * -9 * -5))) or (((6 * 3 + -3 * 2) < (-10 * 11)) or (Iron is a liquid at room temperature.)))) and (((4 ** 3) < (4 ** 3) < (-8 * -8)) or ((11 + -7) > (-20 * -3)) or ((The currency of India is t... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 1497227,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (not not ((((-10 - -13) <= (10 * 10 - ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not not (The capital of Austria is Bern.)) and (not not (((5 + 13) == (-3 + 1)) and (1984 is a leap year.)))) or ((not not (((2002 is a leap year.) or (2042 is a leap year.)) and ((The 2000 Olympics were held in Sydney.) and (The chemical symbol for Zinc is Zn.)))) o... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 74606594,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not not (The capital of Aust... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not not (((-15 - -10) != (38 % 3)) and (((17 + -5) <= (8 * -4 * -5 * -3)) or (二氧化碳在常温下是固体。)))) and ((1920年奥运会在安特卫普举办。) or (土星是距离太阳第6近的行星。)) and ((九月有31天。) and ((not ((-4 * -3 + 10 * 6) != (18 + 18))) or (not not ((8 * -3 - 3 * 5) > (3 ** 1)))))
B. (((-5 * 5 + 4 * 8) < (4 ** 2)) or (沙特阿拉伯的首都是内罗毕。))... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 4919736,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not not (((-15 - -10) != (38 % 3)) and (((17 + -5) <= (8 * -... |
logic-v2 | Consider the following logical expressions:
A. not (not ((not ((not not ((-2 * -6 * 9 * 6) == (1 % 6))) or (((-17 - -4) == (-10 * -4)) or (The currency of Poland is the Peso.)))) and ((There are 31 days in May.) or (((-18 + -19) >= (-6 + 15)) and (There are 30 days in June.)) or (not not (((-4 * 10 - 5 * 1) <= (24 % 7... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 43161355,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not (not ((not ((not not ((-2 * -... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((((西班牙的首都是马德里。) or (巴西的货币是克朗。)) or (not (((29是斐波那契数。) and ((4 ** 1) >= (2 ** 2))) and ((44 % 5) <= (16 * 5) <= (19 * -6))))) and (not not ((((132是完全平方数。) and (青蛙有100条腿。)) or (尼日利亚的货币是谢克尔。)) or ((not ((-4 - 5) >= (-14 - -13))) and (not (光速约为每秒30万公里。))))))
B. not (not not ((not not ((not not (冰在常温... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 67573460,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not not ((((西班牙的首都是马德里。) or (巴西的货币是克朗。)) or (not (((29是斐波那契数。) and... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((((-16 - 18) >= (19 + 12)) and (((-13 * 9) <= (1 ** 2)) or (not (1的平方根是3。)))) or ((not not (not (巴西的首都是巴西利亚。))) and ((十月有31天。) and ((15 % 9) > (-9 * -12))))) or (not (((((-3 * 2) > (3 ** 2)) or ((1 ** 3) <= (-19 - 15))) or ((企鹅能飞翔。) or (挪威的货币是克朗。))) and (马来西亚的首都是里斯本。) and (not not ((空气在常温下是气体。)... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 93821577,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. not not (((((-16 - 18) >= (19 + 12)) and (((-13 * 9) <= (1 ** ... |
logic-v2 | Given the following boolean expressions:
A. (not not (not not (not ((not not (The 2016 Olympics were held in Rio de Janeiro.)) or (not ((-4 * -10 - -7 * -4) <= (-1 - 9))))))) and (not ((not not (not not ((A crab has 10 legs.) and ((7 * -4 * 7 * 6) > (11 + 13))))) or ((not (((20 * -1) >= (-5 * 13)) and ((1 ** 2) <= (-8... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 79910918,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. (not not (not not (not ((not not (Th... |
logic-v2 | Examine these expressions:
A. not not (not not ((((((19 - 10) != (7 * 6)) or ((5 + 17) <= (-4 * -1 + -6 * -5))) or (((42 % 9) <= (-10 * -8 + 9 * -1)) and (A ant is an insect.))) and ((Venus is the 2nd planet from the Sun.) or (Saudi Arabia is in Asia.)) and ((((-6 * -15) < (10 - 6)) or (Saturn is the 6th planet from t... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 94116883,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. not not (not not ((((((19 - 10) != (7 * 6)) or ((5... |
logic-v2 | Study the following logical statements:
A. (not (((11 * -12) <= (-1 - -19)) or (((Earth is the 4th planet from the Sun.) or (The currency of Chile is the Dollar.)) and (not not ((-8 * 6 - 2 * -5) != (-5 + 13)))))) and (not ((There are 31 days in December.) or ((((-20 - -3) >= (1 ** 1)) and (The Soviet Union dissolved ... | {
"game_data": {
"answer": "D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 68776324,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (not (((11 * -12) <= (-1 - -19)) or... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((not (not ((not not (Saturn is the 4th planet from the Sun.)) or (There are 31 days in March.)))) or ((not not (not (not ((11 * 13) < (-2 * -3) < (4 * 1 + 5 * -5))))) or (not ((16 - 0) != (5 - 14))) or (((((-10 - 14) >= (17 + 5))... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 32107197,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 检验这些表达式：
A. not not ((not (not (not not ((钾的化学符号是Ca。) and (土星是距离太阳第6近的行星。))))) or (((((-8 * -14) < (8 - 20) < (15 + 16)) or ((370是完全平方数。) and ((-4 * -10 * -10 * -6) <= (-1 * -10 - -2 * 6) <= (4 + 9)))) and (((埃及位于非洲。) or ((-2 * 4) < (-6 * -14) < (16 * 8))) and (not (奥地利的首都是渥太华。)))) or (((not ((40 % 3) > (5 ** 3))) or ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 18077532,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not not ((not (not (not not ((钾的化学符号是Ca。) and (土星是距离太阳第6近的行星。)))... |
logic-v2 | 审视以下逻辑表达式：
A. 水星是距离太阳第5近的行星。
B. 丹麦的货币是日元。
C. 光速比声速快。
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 47888263,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. 水星是距离太阳第5近的行星。\nB. 丹麦的货币是日元。\nC. 光速比声速快。\n\n哪些表达式为真？在 \\boxed{} 中用... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not not ((泰坦尼克号沉没发生在1912年。) and (2016年是闰年。))) and (人类有三个肺。)) or (not ((not not ((-20 - 15) < (4 % 9) < (-8 * -12))) and (印度位于亚洲。)))) or (not not (not ((not (火星是距离太阳最近的行星。)) and ((波兰的货币是兹罗提。) or ((16 - -6) != (-13 + -16))))))
B. (((氦气在常温下是液体。) or (二氧化碳在常温下是气体。)) or (((14 * -18) <= (12 % 9) <= (-5... | {
"game_data": {
"answer": "B,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 75555995,
"true_count": 6
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not not ((泰坦尼克号沉没发生在1912年。) and (2016年是闰年。))) a... |
logic-v2 | Analyze these boolean expressions:
A. 61 is less than or equal to 31.
B. (not ((3 ** 2) <= (-1 - -19))) or ((27 is less than or equal to 29.) and (Mercury is a liquid at room temperature.))
C. (-12 - 0) < (-5 * -7 * 3 * -3)
D. 2100 is a leap year.
E. (-16 * 11) == (7 * -6 - 2 * 0)
F. Chile is in Oceania.
Which of the... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 70345753,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. 61 is less than or equal to 31.\nB. (not (... |
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