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ape_test_100.json
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ape_test_100.json
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[
{
"id": "ape210k__00593801",
"question": "小明年龄的5倍再加3就是爷爷的年龄，爷爷今年63岁，小明今年几岁？",
"chain": "<gadget id=\"calculator\">63 - 3</gadget>\n<output>60</output>\n\n<gadget id=\"calculator\">60 / 5</gadget>\n<output>12</output>\n\n<result>12</result>",
"result": "12",
"result_float": 12.0,
"equation": "x=(63-3)/5",
"answer": "小明今年13岁。",
"judge": 1,
"question_english": "Five times Xiao Ming's age plus 3 is the age of grandpa. Grandpa is 63 years old this year. How old is Xiao Ming?"
},
{
"id": "ape210k__01108435",
"question": "六年级共有200人，今天有3人请假，1人缺席，六年级今天的出勤率是多少．",
"chain": "<gadget id=\"calculator\">200 - 3 - 1</gadget>\n<output>196</output>\n\n<gadget id=\"calculator\">196 / 200</gadget>\n<output>49/50 = around 0.98</output>\n\n<gadget id=\"calculator\">100 / 100</gadget>\n<output>1</output>\n\n<gadget id=\"calculator\">(49/50) * 1</gadget>\n<output>49/50 = around 0.98</output>\n\n<result>49/50 = around 0.98</result>",
"result": "49/50",
"result_float": 0.98,
"equation": "x=(200-3-1)/200*100%",
"answer": "今天六年级的出勤人数为200 - 3 - 1 = 196人\n出勤率 = (出勤人数 / 总人数) * 100% = (196 / 200) * 100% = 98%\n所以六年级今天的出勤率是98%。",
"judge": 0,
"question_english": "There are 200 students in the sixth grade. Today, 3 people ask for leave and 1 person is absent. What is the attendance rate of the sixth grade today?"
},
{
"id": "ape210k__00372378",
"question": "前进小学买足球用了1800元，买篮球用的钱数比足球多25%，买篮球用了多少元？",
"chain": "<gadget id=\"calculator\">25 / 100</gadget>\n<output>1/4 = around 0.25</output>\n\n<gadget id=\"calculator\">1 + (1/4)</gadget>\n<output>5/4 = around 1.25</output>\n\n<gadget id=\"calculator\">1_800 * (5/4)</gadget>\n<output>2_250</output>\n\n<result>2_250</result>",
"result": "2_250",
"result_float": 2250.0,
"equation": "x=1800*(1+25%)",
"answer": "篮球用的钱数 = 1800 + 1800 * 25% = 1800 + 450 = 2250元\n\n所以买篮球用了2250元。",
"judge": 0,
"question_english": "Qianjin Elementary School spent 1,800 yuan to buy football, and 25% more money to buy basketball than football. How much did it cost to buy basketball?"
},
{
"id": "ape210k__00036788",
"question": "计算：20.11*37-201.1*1.9+2011*0.82=",
"chain": "<gadget id=\"calculator\">20.11 * 37</gadget>\n<output>744.07</output>\n\n<gadget id=\"calculator\">201.1 * 1.9</gadget>\n<output>382.09</output>\n\n<gadget id=\"calculator\">744.07 - 382.09</gadget>\n<output>361.98</output>\n\n<gadget id=\"calculator\">2_011 * 0.82</gadget>\n<output>1_649.02</output>\n\n<gadget id=\"calculator\">361.98 + 1_649.02</gadget>\n<output>2_011</output>\n\n<result>2_011</result>",
"result": "2_011",
"result_float": 2011.0,
"equation": "x=20.11*37-201.1*1.9+2011*0.82",
"answer": "786.58",
"judge": 1,
"question_english": "Calculation: 20.11*37-201.1*1.9+2011*0.82="
},
{
"id": "ape210k__00840341",
"question": "炼钢厂要把一个棱长是12dm的正方体钢材熔铸成一个横截面积是3600dm**2的长方本钢材，熔铸成钢板的高是多少？",
"chain": "<gadget id=\"calculator\">12 / 3_600</gadget>\n<output>1/300 = around 0.003333</output>\n\n<gadget id=\"calculator\">12 * 12 * (1/300)</gadget>\n<output>12/25 = around 0.48</output>\n\n<result>12/25 = around 0.48</result>",
"result": "12/25",
"result_float": 0.48,
"equation": "x=12*12*12/3600",
"answer": "首先，计算正方体的体积：\nV = 边长³ = 12dm³ = 1728dm³\n\n然后，计算长方体的高：\n3600dm² = 高 * 底边长\n高 = 3600dm² / 12dm = 300dm\n\n所以，熔铸成钢板的高为300dm。",
"judge": 1,
"question_english": "A steel factory needs to melt and cast a cube steel with a side length of 12dm into a rectangular steel with a cross-sectional area of 3600dm**2. What is the height of the steel plate?"
},
{
"id": "ape210k__00421027",
"question": "小强测量了一下他家的立式空调，长0.5米宽0.4米高1.7米小强的妈妈准备给空调做个布罩，请你帮小强的妈妈算一算至少需要多少平方米的布料．",
"chain": "<gadget id=\"calculator\">0.5 * 0.4</gadget>\n<output>0.2</output>\n\n<gadget id=\"calculator\">0.5 * 1.7 * 2</gadget>\n<output>1.7</output>\n\n<gadget id=\"calculator\">0.4 * 1.7 * 2</gadget>\n<output>1.36</output>\n\n<gadget id=\"calculator\">0.2 + 1.7 + 1.36</gadget>\n<output>3.26</output>\n\n<result>3.26</result>",
"result": "3.26",
"result_float": 3.26,
"equation": "x=0.5*0.4+0.5*1.7*2+0.4*1.7*2",
"answer": "首先计算出立式空调的表面积：\n底部面积：0.5m × 0.4m = 0.2平方米\n侧面积（共2面）：1.7m × 0.4m = 0.68平方米\n顶部面积：0.5m × 0.4m = 0.2平方米\n\n总共的面积为：0.2平方米 + 0.68平方米 + 0.2平方米 = 1.08平方米\n\n所以，小强的妈妈至少需要1.08平方米的布料来做布罩。",
"judge": 1,
"question_english": "Xiaoqiang measured the vertical air conditioner in his house. The length is 0.5 meters, the width is 0.4 meters, and the height is 1.7 meters. Xiaoqiang’s mother is going to make a cloth cover for the air conditioner. Please help Xiaoqiang’s mother calculate how many square meters of fabric is needed."
},
{
"id": "ape210k__00474759",
"question": "一种圆柱形容器，从里面量，底面直径20厘米．在这个容器中盛有20厘米深的水，现把水全部倒入一只长40厘米、宽25厘米的长方体容器中，水深多少厘米？",
"chain": "<gadget id=\"calculator\">20 / 2</gadget>\n<output>10</output>\n\n<gadget id=\"calculator\">10 ** 2</gadget>\n<output>100</output>\n\n<gadget id=\"calculator\">40 * 25</gadget>\n<output>1_000</output>\n\n<gadget id=\"calculator\">20 / 1_000</gadget>\n<output>1/50 = around 0.02</output>\n\n<gadget id=\"calculator\">3.14 * 100 * (1/50)</gadget>\n<output>6.28</output>\n\n<result>6.28</result>",
"result": "6.28",
"result_float": 6.28,
"equation": "x=3.14*(20/2)**2*20/(40*25)",
"answer": "首先计算圆柱形容器中水的体积：V = πr^2h，其中r为底面半径，h为高度。\n底面直径为20厘米，即底面半径r=10厘米，高度h=20厘米。\nV = π*10^2*20 = 2000π立方厘米。\n\n水倒入长方体容器后，水的体积仍然不变，因此长方体容器中的水深h'为V/(长方体容器底面积)。\n长方体容器底面积为40*25 = 1000平方厘米。\n\n所以水深 h' = 2000π / 1000 = 2π 厘米，约合6.28厘米。",
"judge": 0,
"question_english": "A cylindrical container, measured from the inside, has a base diameter of 20 cm. There is water 20 cm deep in this container. Now pour all the water into a cuboid container with a length of 40 cm and a width of 25 cm. How deep is the water in cm?"
},
{
"id": "ape210k__00398082",
"question": "一个小区，今年植树38棵，今年植树的棵数比去年的3倍还少7棵．去年植树多少棵？",
"chain": "<gadget id=\"calculator\">38 + 7</gadget>\n<output>45</output>\n\n<gadget id=\"calculator\">45 / 3</gadget>\n<output>15</output>\n\n<result>15</result>",
"result": "15",
"result_float": 15.0,
"equation": "x=(38+7)/3",
"answer": "设去年植树的棵数为x，则根据题意可得出方程：\n38 = 3x - 7\n\n解方程得：x = 15\n\n所以，去年植树的棵数为15棵。",
"judge": 0,
"question_english": "In a community, 38 trees are planted this year, and the number of trees planted this year is 7 times less than that of last year. How many trees did you plant last year?"
},
{
"id": "ape210k__00220524",
"question": "袋中有外形完全一样的红、黄、蓝三种颜色的小球各15个．每个小朋友从中摸出2个小球．至少有多少个小朋友摸球，才能保证一定有两个人摸的球一样．",
"chain": "<gadget id=\"calculator\">3 * 2</gadget>\n<output>6</output>\n\n<gadget id=\"calculator\">6 + 1</gadget>\n<output>7</output>\n\n<result>7</result>",
"result": "7",
"result_float": 7.0,
"equation": "x=3*2+1",
"answer": "根据抽屉原理，保证一定有两个人摸的球一样，最少需要16个小朋友摸球。\n\n假设每个小朋友都摸到了不同颜色的球，那么第16个小朋友一定会和之前的某一个小朋友摸到相同颜色的球，从而保证一定有两个人摸的球一样。",
"judge": 1,
"question_english": "There are 15 red, yellow and blue balls in the same shape in each bag. Each child draws 2 small balls from it. At least how many children touch the ball to ensure that two people touch the same ball."
},
{
"id": "ape210k__01061435",
"question": "一只鸭重4千克，一只羊的重量是它的8倍．羊比鸭重多少千克？",
"chain": "<gadget id=\"calculator\">4 * 8</gadget>\n<output>32</output>\n\n<gadget id=\"calculator\">32 - 4</gadget>\n<output>28</output>\n\n<result>28</result>",
"result": "28",
"result_float": 28.0,
"equation": "x=4*8-4",
"answer": "羊的重量是鸭的8倍，所以羊的重量为4千克 * 8 = 32千克。\n\n因此，羊比鸭重多32千克 - 4千克 = 28千克。",
"judge": 0,
"question_english": "A duck weighs 4 kg, and a sheep weighs 8 times as much. How much does a sheep weigh more than a duck?"
},
{
"id": "ape210k__01095609",
"question": "某学校十二月份比十一月份少用水5吨，比十一月份节约了(1/6)．十二月份用水多少吨．",
"chain": "<gadget id=\"calculator\">1 / 6</gadget>\n<output>1/6 = around 0.166667</output>\n\n<gadget id=\"calculator\">5 / (1/6)</gadget>\n<output>30</output>\n\n<gadget id=\"calculator\">1 - (1/6)</gadget>\n<output>5/6 = around 0.833333</output>\n\n<gadget id=\"calculator\">30 * (5/6)</gadget>\n<output>25</output>\n\n<result>25</result>",
"result": "25",
"result_float": 25.0,
"equation": "x=5/(1/6)*(1-(1/6))",
"answer": "假设十一月份用水量为x吨，则十二月份用水量为x-5吨。\n\n根据题意，我们有：\n\nx - (x-5) = 1/6 x\n\n解方程得：\n\n5 = 1/6 x\n\nx = 30\n\n所以十一月份用水30吨，十二月份用水25吨。",
"judge": 0,
"question_english": "A school used 5 tons less water in December than in November, which is (1/6) less than in November. How many tons of water is used in December."
},
{
"id": "ape210k__00103822",
"question": "仓库运来大米240吨，是运来的大豆吨数的(3/4)，运来大豆多少吨？",
"chain": "<gadget id=\"calculator\">3 / 4</gadget>\n<output>3/4 = around 0.75</output>\n\n<gadget id=\"calculator\">240 / (3/4)</gadget>\n<output>320</output>\n\n<result>320</result>",
"result": "320",
"result_float": 320.0,
"equation": "x=240/(3/4)",
"answer": "根据题目可知，大米的吨数为240吨，且大米的吨数是大豆吨数的3/4。\n\n设大豆的吨数为x吨。\n\n根据题意可列出方程：240 = (3/4)x\n\n解方程得：x = 240 * (4/3) = 320\n\n所以，运来大豆的吨数为320吨。",
"judge": 0,
"question_english": "The warehouse shipped 240 tons of rice, which is 3/4 of the tons of soybeans shipped. How many tons of soybeans were shipped?"
},
{
"id": "ape210k__01222101",
"question": "在一个直角三角形中，已知一个锐角是65°，另一个锐角是多少度？",
"chain": "<gadget id=\"calculator\">90 + 65</gadget>\n<output>155</output>\n\n<gadget id=\"calculator\">180 - 155</gadget>\n<output>25</output>\n\n<result>25</result>",
"result": "25",
"result_float": 25.0,
"equation": "x=180-(90+65)",
"answer": "在一个直角三角形中，已知一个锐角是65°，另一个锐角是25°。因为直角三角形的两个锐角之和为90°，所以可以通过90°-65°=25°计算另一个锐角的度数。",
"judge": 0,
"question_english": "In a right triangle, if one acute angle is 65°, what is the other acute angle?"
},
{
"id": "ape210k__00433596",
"question": "圆柱和圆锥的底面积相等，圆柱的高是圆锥的高的(1/6)，则圆锥的体积是圆柱的体积的多少倍．",
"chain": "<result>2</result>",
"result": "2",
"result_float": 2.0,
"equation": "x=2",
"answer": "首先设圆柱的底面半径为r，高为h，则圆锥的底面半径为r，高为h/6。\n\n圆柱的底面积为πr^2，体积为πr^2h。\n\n圆锥的底面积为πr^2，体积为1/3 * πr^2 * h/6 = πr^2h/18。\n\n所以圆锥的体积是圆柱的体积的 1/6 倍。",
"judge": 1,
"question_english": "If the base area of the cylinder and the cone are equal, and the height of the cylinder is 1/6 of the height of the cone, then how many times the volume of the cone is the volume of the cylinder."
},
{
"id": "ape210k__00336182",
"question": "用铁丝围成一个长8厘米，宽3厘米的长方形．至少要用多长的铁丝？",
"chain": "<gadget id=\"calculator\">8 + 3</gadget>\n<output>11</output>\n\n<gadget id=\"calculator\">11 * 2</gadget>\n<output>22</output>\n\n<result>22</result>",
"result": "22",
"result_float": 22.0,
"equation": "x=(8+3)*2",
"answer": "这个长方形有长8厘米，宽3厘米，周长就是长和宽相加的两倍，即（8+3）*2=22厘米。\n\n所以至少要用22厘米长的铁丝。",
"judge": 0,
"question_english": "Use wire to form a rectangle 8 cm long and 3 cm wide. How long is the wire at least?"
},
{
"id": "ape210k__00497489",
"question": "一个梯形上底与高的积是44平方厘米，下底与高的积是66平方厘米，它的面积是多少平方厘米．",
"chain": "<gadget id=\"calculator\">44 + 66</gadget>\n<output>110</output>\n\n<gadget id=\"calculator\">110 / 2</gadget>\n<output>55</output>\n\n<result>55</result>",
"result": "55",
"result_float": 55.0,
"equation": "x=(44+66)/2",
"answer": "设梯形的上底为a，下底为b，高为h，则根据题目可得：\n\na * h = 44\n\nb * h = 66\n\n梯形的面积S = (上底 + 下底) * 高 / 2 = (a + b) * h / 2\n\n将a * h = 44和b * h = 66代入上式：\n\nS = (44 + 66) / 2 = 110 / 2 = 55\n\n所以，该梯形的面积是55平方厘米。",
"judge": 0,
"question_english": "The product of the upper base and the height of a trapezoid is 44 square centimeters, and the product of the lower base and the height is 66 square centimeters. What is its area?"
},
{
"id": "ape210k__00987863",
"question": "梯形的上底是6分米，下底是14分米，高是10分米，它的面积是多少平方分米．",
"chain": "<gadget id=\"calculator\">6 + 14</gadget>\n<output>20</output>\n\n<gadget id=\"calculator\">10 / 2</gadget>\n<output>5</output>\n\n<gadget id=\"calculator\">20 * 5</gadget>\n<output>100</output>\n\n<result>100</result>",
"result": "100",
"result_float": 100.0,
"equation": "x=(6+14)*10/2",
"answer": "根据梯形的面积公式：面积 = (上底 + 下底) * 高 / 2\n\n代入已知数据：面积 = (6 + 14) * 10 / 2 = 20 * 10 / 2 = 200 / 2 = 100\n\n因此，该梯形的面积为100平方分米。",
"judge": 0,
"question_english": "The upper base of the trapezoid is 6 decimeters, the lower base is 14 decimeters, and the height is 10 decimeters. What is its area in square decimeters?"
},
{
"id": "ape210k__00476225",
"question": "25*2/2结果是多少",
"chain": "<gadget id=\"calculator\">2 / 2</gadget>\n<output>1</output>\n\n<gadget id=\"calculator\">25 * 1</gadget>\n<output>25</output>\n\n<result>25</result>",
"result": "25",
"result_float": 25.0,
"equation": "x=25*2/2",
"answer": "25*2/2的结果是25。",
"judge": 0,
"question_english": "What is the result of 25*2/2"
},
{
"id": "ape210k__00443210",
"question": "小明到兴福兴超市购物，他带了40元，买了8袋盐，每袋盐3元，小明还剩多少元？",
"chain": "<gadget id=\"calculator\">3 * 8</gadget>\n<output>24</output>\n\n<gadget id=\"calculator\">40 - 24</gadget>\n<output>16</output>\n\n<result>16</result>",
"result": "16",
"result_float": 16.0,
"equation": "x=40-3*8",
"answer": "小明购买8袋盐，总共花费了8 * 3 = 24元。\n小明剩下的钱数为40 - 24 = 16元。因此，小明剩下16元。",
"judge": 0,
"question_english": "Xiao Ming goes shopping in Xingfuxing Supermarket. He brings 40 yuan and buys 8 bags of salt, each bag of salt is 3 yuan. How much money does Xiao Ming have left?"
},
{
"id": "ape210k__00293264",
"question": "北京奥运会主会场--国家体育场(鸟巢)实际投资约为31亿元，比原计划节约了(7/38)，原计划投资多少亿元？",
"chain": "<gadget id=\"calculator\">7 / 38</gadget>\n<output>7/38 = around 0.184211</output>\n\n<gadget id=\"calculator\">1 - (7/38)</gadget>\n<output>31/38 = around 0.815789</output>\n\n<gadget id=\"calculator\">31 / (31/38)</gadget>\n<output>38</output>\n\n<result>38</result>",
"result": "38",
"result_float": 38.0,
"equation": "x=31/(1-(7/38))",
"answer": "假设原计划投资为 x 亿元，则实际投资为 31 亿元。\n\n根据题意，有：\n\nx - 31 = 7/38 * 31\n\n解方程得：\n\nx = 31 / (1 - 7/38) ≈ 31 / (31/38) = 31 * 38 / 31 = 38\n\n原计划投资为 38 亿元。",
"judge": 0,
"question_english": "The actual investment of the National Stadium (Bird's Nest), the main venue of the Beijing Olympic Games, is about 3.1 billion yuan, which is 7/38 less than the original plan. How much is the original plan to invest?"
},
{
"id": "ape210k__00032417",
"question": "438*40，积的末尾有多少个\"0\"．",
"chain": "<result>1</result>",
"result": "1",
"result_float": 1.0,
"equation": "x=1",
"answer": "要计算一个数的末尾有多少个 \"0\"，实际上就是计算这个数包含的因子5的个数。\n\n首先将438拆分为5的倍数和非5的倍数相乘，即438 = 5 * 87。\n\n因此，438 * 40 = (5 * 87) * 40 = 5 * 40 * 87 = 200 * 87。\n\n计算200 * 87，发现其中包括至少2个因子5，因此最终这个积的末尾有2个 \"0\"。",
"judge": 1,
"question_english": "438*40, how many \"0\"s are there at the end of the product."
},
{
"id": "ape210k__00170665",
"question": "学校体育队有30名学生，其中男生与女生人数的比是3：2．那么女生是多少人．",
"chain": "<gadget id=\"calculator\">3 + 2</gadget>\n<output>5</output>\n\n<gadget id=\"calculator\">2 / 5</gadget>\n<output>2/5 = around 0.4</output>\n\n<gadget id=\"calculator\">30 * (2/5)</gadget>\n<output>12</output>\n\n<result>12</result>",
"result": "12",
"result_float": 12.0,
"equation": "x=30*(2/(3+2))",
"answer": "女生人数为12人。解题过程如下：\n\n设男生人数为3x人，女生人数为2x人。\n\n因为男生与女生人数的比是3:2，所以有：\n\n3x : 2x = 3 : 2\n\n解方程得x = 6\n\n所以女生人数为2x = 2*6 = 12人。",
"judge": 0,
"question_english": "The school sports team has 30 students, and the ratio of boys to girls is 3:2. So how many girls are there?"
},
{
"id": "ape210k__00615848",
"question": "一个两位数乘6所得的积，等于12乘25的积，这个两位数是多少．",
"chain": "<gadget id=\"calculator\">25 / 6</gadget>\n<output>25/6 = around 4.166667</output>\n\n<gadget id=\"calculator\">12 * (25/6)</gadget>\n<output>50</output>\n\n<result>50</result>",
"result": "50",
"result_float": 50.0,
"equation": "x=12*25/6",
"answer": "设两位数为10a+b，则第一个积为10a+b的6倍，即6(10a+b)，第二个积为12乘25，即12*25。\n\n因为它们相等，所以可以得到等式：\n6(10a+b) = 12*25\n化简得：\n60a + 6b = 300\n10a + b = 50\n\n根据上面的等式，我们可以列出不同的a和b的组合来试验：\na=5, b=0 满足条件：50*6 = 300 = 12*25\n\n所以这个两位数是50。",
"judge": 0,
"question_english": "The product of a two-digit number multiplied by 6 is equal to the product of 12 times 25. What is the two-digit number?"
},
{
"id": "ape210k__00065934",
"question": "四、五年级同学参加学校举行的团体操比赛，四年级有4个班，每班选40人；五年级有4个班，每班选36人．四、五年级共有多少人参加比赛？．",
"chain": "<gadget id=\"calculator\">40 * 4</gadget>\n<output>160</output>\n\n<gadget id=\"calculator\">36 * 4</gadget>\n<output>144</output>\n\n<gadget id=\"calculator\">160 + 144</gadget>\n<output>304</output>\n\n<result>304</result>",
"result": "304",
"result_float": 304.0,
"equation": "x=40*4+36*4",
"answer": "四年级共有4个班，每班选40人，总共参加人数为4×40=160人\n五年级共有4个班，每班选36人，总共参加人数为4×36=144人\n所以四、五年级共有160+144=304人参加比赛。",
"judge": 0,
"question_english": "The fourth and fifth grade students participate in the group gymnastics competition held by the school. There are 4 classes in the fourth grade, with 40 students in each class; there are 4 classes in the fifth grade, with 36 students in each class. How many people in grades 4 and 5 participated in the competition? ．"
},
{
"id": "ape210k__00361319",
"question": "为残疾人献爱心，三年级有4个班，每班48人，共捐款576元，平均每人捐多少元．",
"chain": "<gadget id=\"calculator\">48 * 4</gadget>\n<output>192</output>\n\n<gadget id=\"calculator\">576 / 192</gadget>\n<output>3</output>\n\n<result>3</result>",
"result": "3",
"result_float": 3.0,
"equation": "x=576/(48*4)",
"answer": "首先计算出每个班级共捐款576元，每个班级有48人，所以每个班级平均每人捐款576元 / 48人 = 12元。\n\n因此，平均每个三年级学生捐款12元。",
"judge": 1,
"question_english": "To show love for the disabled, there are 4 classes in the third grade, with 48 students in each class, and a total of 576 yuan was donated. How much is the average donation per person?"
},
{
"id": "ape210k__00202070",
"question": "快车长102米，每秒行21米；慢车长117米，每秒行12米．两车在轨道上同向行驶；从快车车头与慢车车尾差105米，开始计时，到快车追上慢车离开慢车车头，问共经过多少分钟？",
"chain": "<gadget id=\"calculator\">105 + 102 + 117</gadget>\n<output>324</output>\n\n<gadget id=\"calculator\">21 - 12</gadget>\n<output>9</output>\n\n<gadget id=\"calculator\">324 / 9</gadget>\n<output>36</output>\n\n<gadget id=\"calculator\">36 / 60</gadget>\n<output>3/5 = around 0.6</output>\n\n<result>3/5 = around 0.6</result>",
"result": "3/5",
"result_float": 0.6,
"equation": "x=((105+102+117)/(21-12))/60",
"answer": "设t为两车相遇的时间（秒），则快车行驶的距离为21t米，慢车行驶的距离为12t米。\n\n根据题意可得：21t = 117 + 105，解得t = 11秒。\n\n所以，两车相遇时，快车行驶了21 * 11 = 231米，慢车行驶了12 * 11 = 132米。\n\n共经过231 + 117 = 348米。\n\n换算成分钟，即为348 / 1000 * 60 = 20.88分钟。\n\n所以，共经过约20.88分钟。",
"judge": 1,
"question_english": "The express train is 102 meters long and travels 21 meters per second; the slow train is 117 meters long and travels 12 meters per second. The two cars are running in the same direction on the track; from the time when the difference between the front of the express train and the rear of the slow train is 105 meters, the timing starts, and when the express train catches up with the slow train and leaves the front of the slow train, how many minutes have elapsed?"
},
{
"id": "ape210k__00688215",
"question": "在一个圆形花圃周围修一条环形小路，花圃半径为5米，小路宽2米，环形小路的面积是多少平方米．",
"chain": "<gadget id=\"calculator\">5 + 2</gadget>\n<output>7</output>\n\n<gadget id=\"calculator\">7 ** 2</gadget>\n<output>49</output>\n\n<gadget id=\"calculator\">5 ** 2</gadget>\n<output>25</output>\n\n<gadget id=\"calculator\">49 - 25</gadget>\n<output>24</output>\n\n<gadget id=\"calculator\">3.14 * 24</gadget>\n<output>75.36</output>\n\n<result>75.36</result>",
"result": "75.36",
"result_float": 75.36,
"equation": "x=3.14*((5+2)**2-5**2)",
"answer": "环形小路的外半径为花圃半径加上小路宽度，即5米+2米=7米。内半径为花圃半径，即5米。\n\n环形小路的面积可以通过计算外圆面积减去内圆面积来得到。\n\n外圆面积 = π * 外半径^2 = π * 7^2 ≈ 153.94平方米\n内圆面积 = π * 内半径^2 = π * 5^2 ≈ 78.54平方米\n\n所以，环形小路的面积为153.94平方米 - 78.54平方米 = 75.4平方米。",
"judge": 1,
"question_english": "Build a circular path around a circular flowerbed. The radius of the flowerbed is 5 meters and the width of the path is 2 meters. What is the area of the circular path in square meters?"
},
{
"id": "ape210k__00969909",
"question": "果园去年产水果6吨，今年比去年增加(1/6)，今年产水果多少吨？",
"chain": "<gadget id=\"calculator\">1 / 6</gadget>\n<output>1/6 = around 0.166667</output>\n\n<gadget id=\"calculator\">1 + (1/6)</gadget>\n<output>7/6 = around 1.166667</output>\n\n<gadget id=\"calculator\">6 * (7/6)</gadget>\n<output>7</output>\n\n<result>7</result>",
"result": "7",
"result_float": 7.0,
"equation": "x=6*(1+(1/6))",
"answer": "今年果园产水果量为6吨 + (1/6) * 6吨 = 6吨 + 1吨 = 7吨。",
"judge": 0,
"question_english": "The orchard produced 6 tons of fruit last year, and this year it has increased (1/6) compared to last year. How many tons of fruit will it produce this year?"
},
{
"id": "ape210k__00996357",
"question": "在算式□/10=5…□中，余数最大为多少．",
"chain": "<gadget id=\"calculator\">10 - 1</gadget>\n<output>9</output>\n\n<result>9</result>",
"result": "9",
"result_float": 9.0,
"equation": "x=10-1",
"answer": "9。因为10乘以0为0，余数为5，所以最大的余数为9。",
"judge": 1,
"question_english": "In the formula □/10=5…□, what is the maximum remainder?"
},
{
"id": "ape210k__00268997",
"question": "电视机厂计划25天生产电视机1440台，实际提前5天完成任务，实际每天完成电视机多少台？",
"chain": "<gadget id=\"calculator\">25 - 5</gadget>\n<output>20</output>\n\n<gadget id=\"calculator\">1_440 / 20</gadget>\n<output>72</output>\n\n<result>72</result>",
"result": "72",
"result_float": 72.0,
"equation": "x=1440/(25-5)",
"answer": "实际提前5天完成任务，即实际完成任务用时为20天。\n\n每天完成的电视机数量为总台数/用时 = 1440 / 20 = 72 台。\n\n所以，实际每天完成的电视机数量为72台。",
"judge": 0,
"question_english": "The TV factory planned to produce 1,440 TVs in 25 days, but actually completed the task 5 days ahead of schedule. How many TVs were actually completed every day?"
},
{
"id": "ape210k__00424503",
"question": "一个梯形上底12分米，下底16分米，高9分米，这个梯形的面积是多少平方分米？",
"chain": "<gadget id=\"calculator\">12 + 16</gadget>\n<output>28</output>\n\n<gadget id=\"calculator\">9 / 2</gadget>\n<output>9/2 = around 4.5</output>\n\n<gadget id=\"calculator\">28 * (9/2)</gadget>\n<output>126</output>\n\n<result>126</result>",
"result": "126",
"result_float": 126.0,
"equation": "x=(12+16)*9/2",
"answer": "使用梯形面积的公式：$S = \\frac{(a + b) \\times h}{2}$，其中a为上底，b为下底，h为高。\n\n代入数据：$S = \\frac{(12 + 16) \\times 9}{2} = \\frac{28 \\times 9}{2} = \\frac{252}{2} = 126$\n\n所以，这个梯形的面积为126平方分米。",
"judge": 0,
"question_english": "The upper base of a trapezoid is 12 decimeters, the lower base is 16 decimeters, and the height is 9 decimeters. What is the area of this trapezoid in square decimeters?"
},
{
"id": "ape210k__00095400",
"question": "配制一种盐水，10千克水中加2千克盐．现在要配制60千克这种盐水，需要盐多少千克？",
"chain": "<gadget id=\"calculator\">2 * 60</gadget>\n<output>120</output>\n\n<gadget id=\"calculator\">10 + 2</gadget>\n<output>12</output>\n\n<gadget id=\"calculator\">120 / 12</gadget>\n<output>10</output>\n\n<result>10</result>",
"result": "10",
"result_float": 10.0,
"equation": "x=(2*60)/(10+2)",
"answer": "配制成这种盐水的总重量是10千克水 + 2千克盐 = 12千克。\n\n所以，12千克的这种盐水含有2千克的盐。\n\n如果要配制60千克的这种盐水，按照比例计算，60千克的盐水中含有60/12 = 5倍的盐。\n\n所以，需要的盐量是5 x 2千克 = 10千克。",
"judge": 0,
"question_english": "To prepare a brine, add 2 kg of salt to 10 kg of water. How many kilograms of salt are needed to prepare 60 kilograms of this brine now?"
},
{
"id": "ape210k__00481841",
"question": "化肥厂原计划5月份生产化肥56吨，结果上半月生产29.8吨，下半月生产31.25吨，超过原计划多少？",
"chain": "<gadget id=\"calculator\">29.8 + 31.25</gadget>\n<output>61.05</output>\n\n<gadget id=\"calculator\">61.05 - 56</gadget>\n<output>5.05</output>\n\n<result>5.05</result>",
"result": "5.05",
"result_float": 5.05,
"equation": "x=(29.8+31.25)-56",
"answer": "原计划生产化肥56吨，实际生产量为29.8吨+31.25吨=61.05吨\n\n超过原计划的量为61.05吨-56吨=5.05吨\n\n化肥厂超过原计划生产了5.05吨。",
"judge": 0,
"question_english": "The fertilizer factory originally planned to produce 56 tons of fertilizer in May, but it turned out to produce 29.8 tons in the first half of the month and 31.25 tons in the second half of the month. How much more than the original plan?"
},
{
"id": "ape210k__00872433",
"question": "一个两位数AB，重复写4次组成一个8位数ABABABAB，用它除以AB后，再除以9，余数是多少．",
"chain": "<result>4</result>",
"result": "4",
"result_float": 4.0,
"equation": "x=4",
"answer": "首先，将两位数AB重复写4次得到8位数ABABABAB。\n\n例如，如果AB为12，则ABABABAB为12121212。\n\n接下来，将ABABABAB除以AB，即12121212除以12，结果为1010101。\n\n然后，将1010101再除以9，余数为8。\n\n因此，答案为8。",
"judge": 1,
"question_english": "A two-digit number AB is repeated 4 times to form an 8-digit number ABABABAB. After dividing it by AB and then by 9, what is the remainder?"
},
{
"id": "ape210k__00068682",
"question": "小明家有一块周长为120米的长方形菜地，长和宽的比是7：5，这块菜地的面积是多少平方米？",
"chain": "<gadget id=\"calculator\">5 + 7</gadget>\n<output>12</output>\n\n<gadget id=\"calculator\">120 / 2 / 12</gadget>\n<output>5</output>\n\n<gadget id=\"calculator\">5 * 7 * 5 * 5</gadget>\n<output>875</output>\n\n<result>875</result>",
"result": "875",
"result_float": 875.0,
"equation": "x=120/2/(5+7)*7*120/2/(5+7)*120/2/(5+7)",
"answer": "设长为7x米，宽为5x米，则有：\n\n2(7x + 5x) = 120\n\n24x = 120\n\nx = 5\n\n因此，长为35米，宽为25米，面积为35 * 25 = 875平方米。",
"judge": 0,
"question_english": "Xiaoming's family has a rectangular vegetable field with a perimeter of 120 meters. The ratio of length to width is 7:5. What is the area of this vegetable field in square meters?"
},
{
"id": "ape210k__01090407",
"question": "甲、乙、丙三名同学到果园摘桃子，甲同学摘的桃子个数比乙同学多(1/5)，乙同学摘的桃子个数比丙同学多(1/5)，甲同学摘的桃子个数比丙同学多几分之几？",
"chain": "<gadget id=\"calculator\">1 / 5</gadget>\n<output>1/5 = around 0.2</output>\n\n<gadget id=\"calculator\">1 + (1/5)</gadget>\n<output>6/5 = around 1.2</output>\n\n<gadget id=\"calculator\">(6/5) * (6/5)</gadget>\n<output>36/25 = around 1.44</output>\n\n<gadget id=\"calculator\">(36/25) - 1</gadget>\n<output>11/25 = around 0.44</output>\n\n<result>11/25 = around 0.44</result>",
"result": "11/25",
"result_float": 0.44,
"equation": "x=(1+(1/5))*(1+(1/5))-1",
"answer": "假设甲同学摘的桃子个数为5个，那么乙同学摘的桃子个数就是4个，丙同学摘的桃子个数就是3个。\n\n所以，甲同学摘的桃子个数比丙同学多2个，比丙同学多几分之几是2/3。",
"judge": 1,
"question_english": "Students A, B, and C go to the orchard to pick peaches. Student A picks more peaches than student B (1/5), and student B picks more peaches than student C (1/5). How much more peaches are there than classmate C?"
},
{
"id": "ape210k__00288616",
"question": "1+2-3+4+5-6+7+8-9+…+601+602-603+604+605-606．",
"chain": "<gadget id=\"calculator\">605 - 606</gadget>\n<output>-1</output>\n\n<gadget id=\"calculator\">604 + (-1)</gadget>\n<output>603</output>\n\n<gadget id=\"calculator\">0 + 603</gadget>\n<output>603</output>\n\n<gadget id=\"calculator\">202 / 2</gadget>\n<output>101</output>\n\n<gadget id=\"calculator\">603 * 101</gadget>\n<output>60_903</output>\n\n<result>60_903</result>",
"result": "60_903",
"result_float": 60903.0,
"equation": "x=(0+(604+605-606))*202/2",
"answer": "To solve this problem, we can group the numbers into pairs of three. \n\n1+2-3 = 0\n\n4+5-6 = 3\n\n7+8-9 = 6\n\n...\n\nSo for every three numbers, the sum is 3. Since there are 201 sets of three numbers in the sequence (from 1 to 606), the sum of the entire sequence is 3 * 201 = 603. \n\nTherefore, the sum of the sequence 1+2-3+4+5-6+7+8-9+…+601+602-603+604+605-606 is 603.",
"judge": 1,
"question_english": "1+2-3+4+5-6+7+8-9+...+601+602-603+604+605-606."
},
{
"id": "ape210k__00080259",
"question": "一个圆形花园，直径是4.5米，周长是多少米？",
"chain": "<gadget id=\"calculator\">3.14 * 4.5</gadget>\n<output>14.13</output>\n\n<result>14.13</result>",
"result": "14.13",
"result_float": 14.13,
"equation": "x=3.14*4.5",
"answer": "圆的周长公式为：C = πd，其中d为圆的直径，π取3.14。\n\n所以，花园的周长为：C = 3.14 * 4.5 = 14.13米\n\n所以，圆形花园的周长是14.13米。",
"judge": 0,
"question_english": "A circular garden has a diameter of 4.5 meters, what is the circumference in meters?"
},
{
"id": "ape210k__00289840",
"question": "(4/5)减(2/3)的差乘一个数得(2/7)，求这个数．",
"chain": "<gadget id=\"calculator\">2 / 7</gadget>\n<output>2/7 = around 0.285714</output>\n\n<gadget id=\"calculator\">4 / 5</gadget>\n<output>4/5 = around 0.8</output>\n\n<gadget id=\"calculator\">2 / 3</gadget>\n<output>2/3 = around 0.666667</output>\n\n<gadget id=\"calculator\">(4/5) - (2/3)</gadget>\n<output>2/15 = around 0.133333</output>\n\n<gadget id=\"calculator\">(2/7) / (2/15)</gadget>\n<output>15/7 = around 2.142857</output>\n\n<result>15/7 = around 2.142857</result>",
"result": "15/7",
"result_float": 2.1428571429,
"equation": "x=(2/7)/((4/5)-(2/3))",
"answer": "设这个数为x，则有：\n\n(4/5) - (2/3) = (2/7) / x\n\n化简得：\n\n(12/15) - (10/15) = 2x/7\n\n2/15 = 2x/7\n\n7*2/15 = 2x\n\n14/15 = 2x\n\nx = 14/30\n\n所以这个数为14/30，即7/15。",
"judge": 1,
"question_english": "The difference between (4/5) minus (2/3) is multiplied by a number to get (2/7), find this number."
},
{
"id": "ape210k__01007775",
"question": "小明今年3岁，爸爸31岁，当爸爸的年龄是女儿5倍的时候，父女两人年龄的和是多少岁？",
"chain": "<gadget id=\"calculator\">31 - 3</gadget>\n<output>28</output>\n\n<gadget id=\"calculator\">5 - 1</gadget>\n<output>4</output>\n\n<gadget id=\"calculator\">28 / 4</gadget>\n<output>7</output>\n\n<gadget id=\"calculator\">5 + 1</gadget>\n<output>6</output>\n\n<gadget id=\"calculator\">7 * 6</gadget>\n<output>42</output>\n\n<result>42</result>",
"result": "42",
"result_float": 42.0,
"equation": "x=(31-3)/(5-1)*(5+1)",
"answer": "首先，当爸爸的年龄是女儿5倍的时候，女儿的年龄一定是爸爸的年龄的1/5，也就是31岁的1/5，即6.2岁。\n\n接着，爸爸和女儿的年龄和等于31岁加上6.2岁，即为37.2岁。\n\n因此，父女两人年龄的和是37.2岁。",
"judge": 1,
"question_english": "Xiao Ming is 3 years old this year, and his father is 31 years old. When the age of the father is 5 times that of the daughter, what is the sum of the ages of the father and daughter?"
},
{
"id": "ape210k__00913839",
"question": "为了参加溜溜球比赛，王老师买了4盒溜溜球，每盒2个，一共花了96元，平均每个溜溜球多少元？",
"chain": "<gadget id=\"calculator\">2 * 4</gadget>\n<output>8</output>\n\n<gadget id=\"calculator\">96 / 8</gadget>\n<output>12</output>\n\n<result>12</result>",
"result": "12",
"result_float": 12.0,
"equation": "x=96/(2*4)",
"answer": "王老师一共买了4盒溜溜球，每盒2个，总共买了8个溜溜球。\n\n他一共花了96元，所以平均每个溜溜球的价格为96元 ÷ 8 = 12元。\n\n所以，平均每个溜溜球的价格为12元。",
"judge": 0,
"question_english": "In order to participate in the yo-yo competition, Mr. Wang bought 4 boxes of yo-yos, 2 in each box, and spent a total of 96 yuan. How much is each yo-yo on average?"
},
{
"id": "ape210k__00691045",
"question": "黑白电视机是彩电的(4/5)，彩电是两种电视机总数的((())/(()))．",
"chain": "<gadget id=\"calculator\">4 / 5</gadget>\n<output>4/5 = around 0.8</output>\n\n<gadget id=\"calculator\">1 + (4/5)</gadget>\n<output>9/5 = around 1.8</output>\n\n<gadget id=\"calculator\">1 / (9/5)</gadget>\n<output>5/9 = around 0.555556</output>\n\n<result>5/9 = around 0.555556</result>",
"result": "5/9",
"result_float": 0.5555555556,
"equation": "x=1/(1+(4/5))",
"answer": "彩电是两种电视机总数的4/5。",
"judge": 1,
"question_english": "Black and white TV sets are (4/5) of color TV sets, and color TV sets are ((())/(())) of the total number of two types of TV sets."
},
{
"id": "ape210k__00156585",
"question": "三个完全一样的长方体，棱长总和为288厘米，每个长方体交于同一点的三条棱长恰好是三个连续的自然数．给这三个长方体涂色：一个涂一个面，一个涂两个面，一个涂三个面．涂色后把三个长方体切成棱长为1厘米的小正方体，试计算只有一个面涂色的小正方体至少有多少个．",
"chain": "<gadget id=\"calculator\">1 * 1</gadget>\n<output>1</output>\n\n<gadget id=\"calculator\">8 / 1</gadget>\n<output>8</output>\n\n<gadget id=\"calculator\">7 * 8</gadget>\n<output>56</output>\n\n<gadget id=\"calculator\">8 - 1</gadget>\n<output>7</output>\n\n<gadget id=\"calculator\">7 * 7</gadget>\n<output>49</output>\n\n<gadget id=\"calculator\">9 - 1</gadget>\n<output>8</output>\n\n<gadget id=\"calculator\">49 + 56</gadget>\n<output>105</output>\n\n<gadget id=\"calculator\">105 / 1</gadget>\n<output>105</output>\n\n<gadget id=\"calculator\">7 - 1</gadget>\n<output>6</output>\n\n<gadget id=\"calculator\">6 * 7</gadget>\n<output>42</output>\n\n<gadget id=\"calculator\">6 * 8</gadget>\n<output>48</output>\n\n<gadget id=\"calculator\">42 + 48 + 56</gadget>\n<output>146</output>\n\n<gadget id=\"calculator\">146 / 1</gadget>\n<output>146</output>\n\n<gadget id=\"calculator\">56 + 105 + 146</gadget>\n<output>307</output>\n\n<result>307</result>",
"result": "307",
"result_float": 307.0,
"equation": "x=7*8/(1*1)+(7*(8-1)+7*(9-1))/(1*1)+((7-1)*(8-1)+(7-1)*(9-1)+(8-1)*(9-1))/(1*1)",
"answer": "设这三个长方体的棱长分别为a,b,c，且满足a≤b≤c．由题意可知a+b+c=96．\n\n根据条件可列出以下方程组：\n\\[\\begin{cases} a=b+c \\\\ b=2a+c \\\\ c=3a+b \\end{cases}\\]\n\n解方程组得：a=16, b=32, c=48．\n\n将每个长方体切成小正方体后，只有一个面涂色的小正方体是处于长方体的边界上，共有16个．\n\n所以，只有一个面涂色的小正方体至少有16个．",
"judge": 1,
"question_english": "For three identical cuboids, the sum of the edge lengths is 288 cm, and the lengths of the three edges of each cuboid intersecting at the same point are exactly three consecutive natural numbers. Color the three cuboids: one for one face, one for two faces, and one for three faces. After coloring, cut the three cuboids into small cubes with a side length of 1 cm. Try to calculate how many small cubes there are with only one side painted."
},
{
"id": "ape210k__00582673",
"question": "把一个圆柱的侧面展开正好是一个正方形，已知圆柱的底面积是5平方厘米，这个圆柱的表面积是多少？",
"chain": "<gadget id=\"calculator\">5 * 2</gadget>\n<output>10</output>\n\n<gadget id=\"calculator\">20 * 3.14</gadget>\n<output>62.8</output>\n\n<gadget id=\"calculator\">10 + 62.8</gadget>\n<output>72.8</output>\n\n<result>72.8</result>",
"result": "72.8",
"result_float": 72.8,
"equation": "x=5*2+(20*3.14)",
"answer": "圆柱的侧面展开为一个矩形，宽度为圆柱的高度，长度为圆周长。已知底面积为5平方厘米，则底面半径为r = √(5 / π) ≈ 1.26厘米。\n\n底面半径 r = √(5 / π)，底面面积为 πr^2 = 5，解得 r ≈ 0.56 厘米，圆周长为2πr≈ 3.53厘米，所以展开的正方形的边长等于圆周长。\n\n展开的正方形的面积为 (2πr)² = (2π)^2 * r² ≈ 39.48平方厘米。\n\n圆柱的表面积等于底面积加上侧面积，侧面积等于展开的正方形的面积，所以圆柱的表面积约为 39.48 + 5 = 44.48 平方厘米。",
"judge": 1,
"question_english": "Expanding the side of a cylinder is exactly a square. It is known that the base area of the cylinder is 5 square centimeters. What is the surface area of the cylinder?"
},
{
"id": "ape210k__00671101",
"question": "某厂二月份生产机器200台，比一月份多生产(1/4)，则一月份生产了多少台．",
"chain": "<gadget id=\"calculator\">1 / 4</gadget>\n<output>1/4 = around 0.25</output>\n\n<gadget id=\"calculator\">1 + (1/4)</gadget>\n<output>5/4 = around 1.25</output>\n\n<gadget id=\"calculator\">200 / (5/4)</gadget>\n<output>160</output>\n\n<result>160</result>",
"result": "160",
"result_float": 160.0,
"equation": "x=200/(1+(1/4))",
"answer": "一月份生产的机器数量为：\n200 / (1 + 1/4) = 200 / (5/4) = 200 * 4/5 = 160 台。",
"judge": 0,
"question_english": "If a factory produces 200 machines in February, which is 1/4 more than in January, then how many machines were produced in January."
},
{
"id": "ape210k__00305602",
"question": "甲仓库有货物42吨，比乙仓库多(1/6)，比乙仓库多多少吨？",
"chain": "<gadget id=\"calculator\">1 / 6</gadget>\n<output>1/6 = around 0.166667</output>\n\n<gadget id=\"calculator\">1 + (1/6)</gadget>\n<output>7/6 = around 1.166667</output>\n\n<gadget id=\"calculator\">42 / (7/6)</gadget>\n<output>36</output>\n\n<gadget id=\"calculator\">42 - 36</gadget>\n<output>6</output>\n\n<result>6</result>",
"result": "6",
"result_float": 6.0,
"equation": "x=42-42/(1+(1/6))",
"answer": "甲仓库比乙仓库多(1/6)的意思是甲仓库比乙仓库多的货物数量是总货物数量的1/6。\n\n设甲仓库有x吨货物，则根据题意可得：\n\nx = 42 + (1/6)x\n\n将42代入方程得\n\nx = 42 + (1/6) * 42\nx = 42 + 7\nx = 49\n\n所以，甲仓库有49吨货物，比乙仓库多7吨货物。",
"judge": 1,
"question_english": "Warehouse A has 42 tons of goods, which is 1/6 more than warehouse B. How many tons more than warehouse B?"
},
{
"id": "ape210k__00831101",
"question": "世界上最高的动物是长颈鹿．大象高3米，一只长颈鹿比大象高(2/3)，这只长颈鹿高多少米？",
"chain": "<gadget id=\"calculator\">2 / 3</gadget>\n<output>2/3 = around 0.666667</output>\n\n<gadget id=\"calculator\">1 + (2/3)</gadget>\n<output>5/3 = around 1.666667</output>\n\n<gadget id=\"calculator\">3 * (5/3)</gadget>\n<output>5</output>\n\n<result>5</result>",
"result": "5",
"result_float": 5.0,
"equation": "x=3*(1+(2/3))",
"answer": "这只长颈鹿的高度为2米。因为大象高3米，长颈鹿比大象高的2/3，即2米。",
"judge": 1,
"question_english": "The tallest animal in the world is the giraffe. An elephant is 3 meters tall. A giraffe is 2/3 taller than an elephant. How many meters tall is this giraffe?"
},
{
"id": "ape210k__01218989",
"question": "张师傅做一个零件所用的时间由原来的12分钟减少到8分钟．原来做80个零件所用的时间，现在可以多做多少个零件？",
"chain": "<gadget id=\"calculator\">80 / 8</gadget>\n<output>10</output>\n\n<gadget id=\"calculator\">12 * 10</gadget>\n<output>120</output>\n\n<gadget id=\"calculator\">120 - 80</gadget>\n<output>40</output>\n\n<result>40</result>",
"result": "40",
"result_float": 40.0,
"equation": "x=12*80/8-80",
"answer": "原来做80个零件需要的时间为80*12 = 960分钟\n现在做80个零件需要的时间为80*8 = 640分钟\n\n所以现在可以多做80-640/12 = 640/12 = 53.33个零件\n\n即现在可以多做53个零件。",
"judge": 1,
"question_english": "The time it takes Master Zhang to make a part is reduced from 12 minutes to 8 minutes. In the time it took to make 80 parts, how many more parts can be made now?"
},
{
"id": "ape210k__01092587",
"question": "食堂里有一批煤，用去一部分后还剩(2/9)，还剩(3/5)吨，食堂原来有煤多少吨？",
"chain": "<gadget id=\"calculator\">3 / 5</gadget>\n<output>3/5 = around 0.6</output>\n\n<gadget id=\"calculator\">2 / 9</gadget>\n<output>2/9 = around 0.222222</output>\n\n<gadget id=\"calculator\">(3/5) / (2/9)</gadget>\n<output>27/10 = around 2.7</output>\n\n<result>27/10 = around 2.7</result>",
"result": "27/10",
"result_float": 2.7,
"equation": "x=(3/5)/(2/9)",
"answer": "假设食堂原来有x吨煤。\n\n经过消耗后还剩(2/9) * x吨煤，根据题意这部分煤还剩(3/5)吨，可得方程：\n\n(2/9) * x = (3/5)\n\n化简得：\n\nx = (3/5) * (9/2) = 27 / 10 = 2.7\n\n所以，食堂原来有2.7吨煤。",
"judge": 0,
"question_english": "There is a batch of coal in the cafeteria. After some of it is used up, there are still (2/9) and (3/5) tons left. How many tons of coal are there in the cafeteria?"
},
{
"id": "ape210k__00041467",
"question": "一本书有192页，小玉已读了6天，每天读18页，剩下的每天比原来多读10页，读完全书还要多少天．",
"chain": "<gadget id=\"calculator\">6 * 18</gadget>\n<output>108</output>\n\n<gadget id=\"calculator\">192 - 108</gadget>\n<output>84</output>\n\n<gadget id=\"calculator\">18 + 10</gadget>\n<output>28</output>\n\n<gadget id=\"calculator\">84 / 28</gadget>\n<output>3</output>\n\n<result>3</result>",
"result": "3",
"result_float": 3.0,
"equation": "x=(192-6*18)/(18+10)",
"answer": "首先计算小玉已经读了多少页：6天 * 18页/天 = 108页\n\n剩下的还需要阅读的页数为192页 - 108页 = 84页\n\n每天比原来多读10页，因此每天读的页数为18页 + 10页 = 28页\n\n则阅读完剩下的84页所需的天数为84页 / 28页/天 = 3天\n\n所以，小玉还需要3天才能读完这本书。",
"judge": 0,
"question_english": "A book has 192 pages. Xiaoyu has been reading it for 6 days, 18 pages a day, and the remaining pages are 10 more pages a day than before. How many days will it take to finish the book?"
},
{
"id": "ape210k__00014425",
"question": "一个小数的小数点向左移动一位，得到的数是2.52，这个小数是多少．",
"chain": "<gadget id=\"calculator\">2.52 * 10</gadget>\n<output>25.2</output>\n\n<result>25.2</result>",
"result": "25.2",
"result_float": 25.2,
"equation": "x=2.52*10",
"answer": "移动小数点一位后，得到的数是25.2，所以这个小数就是25.2．",
"judge": 0,
"question_english": "The decimal point of a decimal is moved one place to the left, the number obtained is 2.52, what is the decimal."
},
{
"id": "ape210k__00605626",
"question": "一台压路机的滚筒长3米，半径为1.5米，如果滚动7周，那么压路面积是多少平方米？",
"chain": "<gadget id=\"calculator\">2 * 3.14 * 1.5 * 3 * 7</gadget>\n<output>197.82</output>\n\n<result>197.82</result>",
"result": "197.82",
"result_float": 197.82,
"equation": "x=2*3.14*1.5*3*7",
"answer": "压路机的滚筒可以看作一个圆柱体，其底面积为圆的面积，而侧面积为圆柱体的侧面积。\n\n首先计算底面积：圆的面积公式为A = πr^2，其中r为半径，根据题目可知r = 1.5米，所以底面积为A = π × 1.5^2 ≈ 7.07平方米。\n\n然后计算侧面积：圆柱体的侧面积公式为S = 2πrh，其中r为半径，h为高度。由于滚动7周，滚筒滚动的距离为周长的7倍，所以高度h = 3米，滚动的总距离为2πr × 7 = 21π米。所以侧面积为S = 2 × π × 1.5 × 3 = 28.27平方米。\n\n最后压路面积为底面积加上侧面积，即7.07 + 28.27 = 35.34平方米。\n\n所以压路面积为35.34平方米。",
"judge": 1,
"question_english": "The roller of a road roller is 3 meters long and has a radius of 1.5 meters. If it rolls 7 times, how many square meters is the rolling area?"
},
{
"id": "ape210k__00238826",
"question": "自动检测仪检测一个瓶子用时(1/25)秒，检测100个瓶子需要多少秒．",
"chain": "<gadget id=\"calculator\">1 / 25</gadget>\n<output>1/25 = around 0.04</output>\n\n<gadget id=\"calculator\">(1/25) * 100</gadget>\n<output>4</output>\n\n<result>4</result>",
"result": "4",
"result_float": 4.0,
"equation": "x=(1/25)*100",
"answer": "用时：1/25秒/个\n检测100个瓶子需要的时间为：\n100个瓶子 × 1/25秒/个 = 4秒\n\n所以，检测100个瓶子需要4秒。",
"judge": 0,
"question_english": "It takes (1/25) seconds for the automatic detector to detect one bottle, how many seconds does it take to detect 100 bottles."
},
{
"id": "ape210k__00148837",
"question": "100张纸摞起来高约1厘米，1亿张纸摞起来高约多少万米",
"chain": "<result>1</result>",
"result": "1",
"result_float": 1.0,
"equation": "x=1",
"answer": "根据题意，100张纸摞起来高1厘米，所以1张纸的高度为1厘米/100 = 0.01厘米。\n\n那么1亿张纸摞起来的高度为0.01厘米 * 1亿 = 1,000,000厘米 = 10,000米 = 10千米。\n\n所以1亿张纸摞起来高约10千米。",
"judge": 0,
"question_english": "The height of 100 sheets of paper is about 1 cm, and the height of 100 million sheets of paper is about tens of thousands of meters"
},
{
"id": "ape210k__00562500",
"question": "在比例尺是1：4000000的地图上，量得甲、乙两地相距6厘米，甲、乙两地实际距离多少千米？",
"chain": "<gadget id=\"calculator\">1 / 4_000_000</gadget>\n<output>1/4_000_000 = around 0</output>\n\n<gadget id=\"calculator\">6 / (1/4_000_000) / 100_000</gadget>\n<output>240</output>\n\n<result>240</result>",
"result": "240",
"result_float": 240.0,
"equation": "x=6/(1/4000000)/100000",
"answer": "实际距离 = 地图上的距离 × 比例尺\n\n实际距离 = 6厘米 × 4000000 = 24000000厘米 = 240千米\n\n所以，甲、乙两地的实际距离为240千米。",
"judge": 0,
"question_english": "On a map with a scale of 1:4000000, the distance between A and B is 6 cm. How many kilometers is the actual distance between A and B?"
},
{
"id": "ape210k__00040601",
"question": "586*28-486*28．",
"chain": "<gadget id=\"calculator\">586 * 28</gadget>\n<output>16_408</output>\n\n<gadget id=\"calculator\">486 * 28</gadget>\n<output>13_608</output>\n\n<gadget id=\"calculator\">16_408 - 13_608</gadget>\n<output>2_800</output>\n\n<result>2_800</result>",
"result": "2_800",
"result_float": 2800.0,
"equation": "x=586*28-486*28",
"answer": "To calculate this expression, we first need to perform the multiplication:\n\n586*28 = 16408\n486*28 = 13608\n\nNow, we subtract the second product from the first product:\n\n16408 - 13608 = 2800\n\nTherefore, the result of 586*28 - 486*28 is 2800.",
"judge": 0,
"question_english": "586*28-486*28．"
},
{
"id": "ape210k__00405632",
"question": "实验小学的同学修理桌椅节约40.25元，装订图书比修理桌椅少节约3.7元．一共节约多少元？",
"chain": "<gadget id=\"calculator\">40.2 - 3.7</gadget>\n<output>36.5</output>\n\n<gadget id=\"calculator\">36.5 + 40.25</gadget>\n<output>76.75</output>\n\n<result>76.75</result>",
"result": "76.75",
"result_float": 76.75,
"equation": "x=(40.2-3.7)+40.25",
"answer": "修理桌椅节约40.25元\n装订图书比修理桌椅少节约3.7元\n\n所以，修理桌椅和装订图书一共节约了40.25 + 3.7 = 43.95 元。",
"judge": 1,
"question_english": "The students in the experimental primary school saved 40.25 yuan in repairing tables and chairs, and saved 3.7 yuan less in binding books than in repairing tables and chairs. How much did you save in total?"
},
{
"id": "ape210k__00497234",
"question": "列式计算：4.8除以3的商乘14.5与3.8的和，结果是多少？",
"chain": "<gadget id=\"calculator\">4.8 / 3</gadget>\n<output>1.6</output>\n\n<gadget id=\"calculator\">14.5 + 3.8</gadget>\n<output>18.3</output>\n\n<gadget id=\"calculator\">1.6 * 18.3</gadget>\n<output>29.28</output>\n\n<result>29.28</result>",
"result": "29.28",
"result_float": 29.28,
"equation": "x=(4.8/3)*(14.5+3.8)",
"answer": "首先计算商：4.8 ÷ 3 = 1.6\n然后计算乘积：1.6 × 14.5 = 23.2\n最后计算和：23.2 + 3.8 = 27\n答案是27。",
"judge": 1,
"question_english": "Column calculation: what is the result of dividing the quotient of 4.8 by 3 times the sum of 14.5 and 3.8?"
},
{
"id": "ape210k__00778851",
"question": "一本故事书，李明15天可以看完，而张伟比李明多用2天，李明每天比张伟多看4页．这本故事书共有多少页．",
"chain": "<gadget id=\"calculator\">4 / 2</gadget>\n<output>2</output>\n\n<gadget id=\"calculator\">15 * 2</gadget>\n<output>30</output>\n\n<gadget id=\"calculator\">15 + 2</gadget>\n<output>17</output>\n\n<gadget id=\"calculator\">30 * 17</gadget>\n<output>510</output>\n\n<result>510</result>",
"result": "510",
"result_float": 510.0,
"equation": "x=(15*4/2)*(15+2)",
"answer": "设这本故事书共有x页。\n\n根据题意可得：\n1. 张伟用了15+2=17天才看完这本书。\n2. 张伟每天看x/17页，而李明每天看x/15页。\n3. 李明每天比张伟多看4页，即 x/15 = x/17 + 4。\n\n解方程可得：\nx/15 = x/17 + 4\n将方程两边同时乘以255得：\n17x = 15x + 60\n化简得：\n2x = 60\nx = 30\n\n所以，这本故事书共有30页。",
"judge": 1,
"question_english": "Li Ming can read a storybook in 15 days, but Zhang Wei takes 2 days more than Li Ming, and Li Ming reads 4 more pages than Zhang Wei every day. How many pages does this story book have?"
},
{
"id": "ape210k__00854679",
"question": "李老师有415本练习本，发给二年级同学196本，一年级同学208本．李老师还剩多少本？",
"chain": "<gadget id=\"calculator\">415 - 196 - 208</gadget>\n<output>11</output>\n\n<result>11</result>",
"result": "11",
"result_float": 11.0,
"equation": "x=415-196-208",
"answer": "剩下的练习本数量为11本。",
"judge": 0,
"question_english": "Teacher Li has 415 exercise books, among which 196 are distributed to second-grade students and 208 to first-grade students. How many books does Mr. Li have left?"
},
{
"id": "ape210k__00155283",
"question": "周末妈妈在家要做以下几项工作：整理房间需6分钟，给洗衣机加水并放衣物3分钟，洗衣机自动洗涤10分钟，晾晒衣物3分钟，拖地3分钟，洗拖把1分钟．想一想，合理安排做这些事情最少需多少分钟．",
"chain": "<gadget id=\"calculator\">3 + 6 + 3 + 1 + 3</gadget>\n<output>16</output>\n\n<result>16</result>",
"result": "16",
"result_float": 16.0,
"equation": "x=3+6+3+1+3",
"answer": "最少需要26分钟。",
"judge": 1,
"question_english": "On weekends, my mother has to do the following tasks at home: it takes 6 minutes to tidy up the room, add water to the washing machine and put the clothes in for 3 minutes, wash the washing machine automatically for 10 minutes, dry the clothes for 3 minutes, mop the floor for 3 minutes, and wash the mop for 1 minute. Think about it, how many minutes is the minimum required to arrange to do these things."
},
{
"id": "ape210k__00796449",
"question": "学校于今年5月25日到6月8日举办了校园读书节，读书节共举办了多少天．",
"chain": "<gadget id=\"calculator\">7 + 8</gadget>\n<output>15</output>\n\n<result>15</result>",
"result": "15",
"result_float": 15.0,
"equation": "x=7+8",
"answer": "读书节从5月25日持续到了6月8日，共计15天。",
"judge": 0,
"question_english": "The school held the campus reading festival from May 25th to June 8th this year. How many days did the reading festival last?"
},
{
"id": "ape210k__00828367",
"question": "一个平行四边形的底是5cm，高是6cm，与它等底等高的三角形的面积是多少．",
"chain": "<gadget id=\"calculator\">6 / 2</gadget>\n<output>3</output>\n\n<gadget id=\"calculator\">5 * 3</gadget>\n<output>15</output>\n\n<result>15</result>",
"result": "15",
"result_float": 15.0,
"equation": "x=5*6/2",
"answer": "平行四边形的面积可以表示为底乘以高，所以平行四边形的面积是5 * 6 = 30 平方厘米。\n\n与平行四边形等底等高的三角形具有相同的面积，因此三角形的面积也是30平方厘米。",
"judge": 1,
"question_english": "If the base of a parallelogram is 5 cm and the height is 6 cm, what is the area of the triangle with the same base and height?"
},
{
"id": "ape210k__00989239",
"question": "三年级学生去农场劳动，女生去了80人，男生去了84人，4人分一组，一共可以分多少组？",
"chain": "<gadget id=\"calculator\">80 + 84</gadget>\n<output>164</output>\n\n<gadget id=\"calculator\">164 / 4</gadget>\n<output>41</output>\n\n<result>41</result>",
"result": "41",
"result_float": 41.0,
"equation": "x=(80+84)/4",
"answer": "女生共去了80人，男生共去了84人，总共去了80+84=164人。\n\n每组4人，可以分成164/4=41组。",
"judge": 0,
"question_english": "The third-grade students went to work on the farm. There were 80 girls and 84 boys. They were divided into groups of 4. How many groups can they be divided into?"
},
{
"id": "ape210k__01045375",
"question": "将一段棱长是20厘米的正方体木材，加工成一个最大的圆柱，削去的木材的体积是多少立方厘米．",
"chain": "<gadget id=\"calculator\">20 * 20 * 20</gadget>\n<output>8_000</output>\n\n<gadget id=\"calculator\">20 / 2</gadget>\n<output>10</output>\n\n<gadget id=\"calculator\">10 ** 2</gadget>\n<output>100</output>\n\n<gadget id=\"calculator\">3.14 * 100 * 20</gadget>\n<output>6_280</output>\n\n<gadget id=\"calculator\">8_000 - 6_280</gadget>\n<output>1_720</output>\n\n<result>1_720</result>",
"result": "1_720",
"result_float": 1720.0,
"equation": "x=20*20*20-(3.14*(20/2)**2*20)",
"answer": "首先，正方体木材的棱长为20厘米，即边长为20厘米，体积为20*20*20 = 8000立方厘米。\n\n接着，我们把正方体木材加工成圆柱，高度为20厘米（与正方体的边长相同），底面积为π*r^2，所以底面半径为10厘米。\n\n圆柱的体积V = 底面积 * 高度 = π*10^2*20 = 2000π 立方厘米。\n\n最后，削去的木材的体积即为正方体木材的体积减去圆柱的体积，即8000 - 2000π ≈ 1047.2 立方厘米。",
"judge": 1,
"question_english": "If a piece of wood with a side length of 20 cm is processed into the largest cylinder, what is the volume of the cut wood in cubic centimeters?"
},
{
"id": "ape210k__00516706",
"question": "文化用品商店一天共卖出彩笔48盒，其中下午卖出的彩笔是上午的(7/9)，上午卖出彩笔多少盒？",
"chain": "<gadget id=\"calculator\">7 / 9</gadget>\n<output>7/9 = around 0.777778</output>\n\n<gadget id=\"calculator\">1 + (7/9)</gadget>\n<output>16/9 = around 1.777778</output>\n\n<gadget id=\"calculator\">48 / (16/9)</gadget>\n<output>27</output>\n\n<result>27</result>",
"result": "27",
"result_float": 27.0,
"equation": "x=48/(1+(7/9))",
"answer": "根据题意可知，下午卖出的彩笔是上午的7/9，即下午卖出的彩笔数是上午的7份，也就是说下午卖出了48*(7/9) = 56盒彩笔。\n\n因此，上午卖出的彩笔数为48 - 56 = 32盒。",
"judge": 1,
"question_english": "The stationery store sold a total of 48 boxes of color pens a day, and the color pens sold in the afternoon were the morning (7/9). How many boxes of color pens were sold in the morning?"
},
{
"id": "ape210k__00402285",
"question": "某商场为了庆祝成立十周年，所有商品都按九折出售．一款电视现价比原价便宜了250元，这款电视原价多少钱？",
"chain": "<gadget id=\"calculator\">90 / 100</gadget>\n<output>9/10 = around 0.9</output>\n\n<gadget id=\"calculator\">1 - (9/10)</gadget>\n<output>1/10 = around 0.1</output>\n\n<gadget id=\"calculator\">250 / (1/10)</gadget>\n<output>2_500</output>\n\n<result>2_500</result>",
"result": "2_500",
"result_float": 2500.0,
"equation": "x=250/(1-90%)",
"answer": "设原价为x元，则现价为0.9x元。\n\n根据题意，有0.9x = x - 250。\n\n整理得到0.1x = 250，即x = 2500。\n\n所以这款电视的原价为2500元。",
"judge": 0,
"question_english": "In order to celebrate the tenth anniversary of the establishment of a shopping mall, all products are sold at a 10% discount. The current price of a TV is 250 yuan cheaper than the original price. How much is the original price of this TV?"
},
{
"id": "ape210k__00237570",
"question": "有一排树苗，每相邻两棵间的距离原来都是2米，现在改成3米，如果起点的一棵不动，那么最近再隔多远又有一棵树苗不需要移动？",
"chain": "<gadget id=\"calculator\">2 * 3</gadget>\n<output>6</output>\n\n<result>6</result>",
"result": "6",
"result_float": 6.0,
"equation": "x=2*3",
"answer": "如果起点的一棵树不动，那么最近再隔3米就会有一棵树苗不需要移动。因为原来相邻两棵树苗之间的距离是2米，现在变为3米，所以原来在2米处的那棵树现在需要往后移1米，才能保持与前一棵树的距离为3米。",
"judge": 1,
"question_english": "There is a row of saplings. The distance between two adjacent trees was originally 2 meters, but now it is changed to 3 meters. If one tree at the starting point does not move, then how far away is another sapling that does not need to be moved?"
},
{
"id": "ape210k__00132083",
"question": "一种压路机的前轮是圆柱形状的，轮宽1.8米，直径0.8米．如果前轮每分钟滚动30圈，每分钟能压路面多大？",
"chain": "<gadget id=\"calculator\">45.216 * 30</gadget>\n<output>1_356.48</output>\n\n<result>1_356.48</result>",
"result": "1_356.48",
"result_float": 1356.48,
"equation": "x=45.216*30",
"answer": "首先计算每分钟前轮的周长：\n周长 = π * 直径 = 3.14 * 0.8 = 2.512 米\n\n然后计算前轮每分钟滚动的距离：\n距离 = 周长 * 圈数 = 2.512 * 30 = 75.36 米\n\n因此，前轮每分钟能压路面的宽度为1.8米，每分钟能压路面的长度为75.36米。",
"judge": 1,
"question_english": "road roller has a cylindrical front wheel with a width of 1.8 meters and a diameter of 0.8 meters. If the front wheel rolls 30 times per minute, how much can it press on the road per minute?"
},
{
"id": "ape210k__01008815",
"question": "希望小学四年级的420名同学去参观农业科技示范园，已经去了36人．剩下的每24人乘一辆中巴车，需要多少辆中巴车？",
"chain": "<gadget id=\"calculator\">420 - 36</gadget>\n<output>384</output>\n\n<gadget id=\"calculator\">384 / 24</gadget>\n<output>16</output>\n\n<result>16</result>",
"result": "16",
"result_float": 16.0,
"equation": "x=(420-36)/24",
"answer": "剩下的学生人数为420 - 36 = 384人\n需要的中巴车数量为384 / 24 = 16辆中巴车。",
"judge": 0,
"question_english": "I hope that 420 students from the fourth grade of elementary school will visit the Agricultural Science and Technology Demonstration Park, and 36 of them have already gone. How many minibuses are needed for every remaining 24 people to take one minibus?"
},
{
"id": "ape210k__00699871",
"question": "由于电池没电，时钟停止走动，此时正好是12：20，求时针与分针的夹角多少．",
"chain": "<gadget id=\"calculator\">4 * 30</gadget>\n<output>120</output>\n\n<gadget id=\"calculator\">0.5 * 20</gadget>\n<output>10</output>\n\n<gadget id=\"calculator\">120 - 10</gadget>\n<output>110</output>\n\n<result>110</result>",
"result": "110",
"result_float": 110.0,
"equation": "x=4*30-(0.5*20)",
"answer": "时针每分钟走动$0.5^{\\circ}$，分针每分钟走动$6^{\\circ}$．时钟指针的相对位置关系表明，时针与分针之间的夹角的变化趋势是时针每分钟比分针向前遗失5.5度。\n但是，分针停在20分钟的位置，那么此时夹角应该是：\n$5.5 \\times 40 = 220^{\\circ}$．\n\n答：时针与分针的夹角是220度。",
"judge": 1,
"question_english": "Because the battery is dead, the clock stops. It is exactly 12:20 at this time. Find the angle between the hour hand and the minute hand."
},
{
"id": "ape210k__00081566",
"question": "在一个直角三角形中，三条边长分别为30米、40米、50米，求斜边上的高是多少米．",
"chain": "<gadget id=\"calculator\">120 / 50</gadget>\n<output>12/5 = around 2.4</output>\n\n<result>12/5 = around 2.4</result>",
"result": "12/5",
"result_float": 2.4,
"equation": "x=120/50",
"answer": "根据勾股定理，直角三角形的斜边长等于直角边边长的平方和的平方根。\n\n设斜边上的高为h，根据三角形性质可得：\n$h^2 + 30^2 = 40^2$\n\n解方程得：$h^2 + 900 = 1600$\n\n$h^2 = 1600 - 900 = 700$\n\n$h = \\sqrt{700} ≈ 26.46$\n\n因此，斜边上的高约为26.46米。",
"judge": 1,
"question_english": "In a right triangle, the lengths of the three sides are 30 meters, 40 meters and 50 meters respectively, what is the height of the hypotenuse in meters?"
},
{
"id": "ape210k__00720967",
"question": "用0、5、7、8能组成多少个不同的两位数．",
"chain": "<gadget id=\"calculator\">3 * 3</gadget>\n<output>9</output>\n\n<result>9</result>",
"result": "9",
"result_float": 9.0,
"equation": "x=3*3",
"answer": "用0、5、7、8能组成的不同的两位数有以下组合：\n50\n57\n58\n70\n75\n78\n80\n85\n87\n共计9个不同的两位数。",
"judge": 0,
"question_english": "How many different two-digit numbers can be formed with 0, 5, 7, and 8?"
},
{
"id": "ape210k__00578896",
"question": "计算：7.2*(1/4)+7.2*75%．",
"chain": "<gadget id=\"calculator\">1 / 4</gadget>\n<output>1/4 = around 0.25</output>\n\n<gadget id=\"calculator\">7.2 * (1/4)</gadget>\n<output>1.8</output>\n\n<gadget id=\"calculator\">75 / 100</gadget>\n<output>3/4 = around 0.75</output>\n\n<gadget id=\"calculator\">7.2 * (3/4)</gadget>\n<output>5.4</output>\n\n<gadget id=\"calculator\">1.8 + 5.4</gadget>\n<output>7.2</output>\n\n<result>7.2</result>",
"result": "7.2",
"result_float": 7.2,
"equation": "x=7.2*(1/4)+7.2*75%",
"answer": "7.2*(1/4) + 7.2*75%\n\n= 1.8 + 5.4\n\n= 7.2\n\n所以，7.2*(1/4) + 7.2*75% = 7.2。",
"judge": 0,
"question_english": "Calculation: 7.2*(1/4)+7.2*75%."
},
{
"id": "ape210k__00332163",
"question": "学校合唱团有女生156人，女生人数是男生人数的2倍．合唱团有男生多少人？",
"chain": "<gadget id=\"calculator\">156 / 2</gadget>\n<output>78</output>\n\n<result>78</result>",
"result": "78",
"result_float": 78.0,
"equation": "x=156/2",
"answer": "女生人数=156人\n男生人数=156/2=78人\n\n合唱团有男生78人。",
"judge": 0,
"question_english": "There are 156 girls in the school choir, and the number of girls is twice the number of boys. How many boys are there in the choir?"
},
{
"id": "ape210k__00379273",
"question": "两个因数的积是52.3，一个因数扩大10倍，另一个因数不变，则积是多少．",
"chain": "<gadget id=\"calculator\">52.3 * 10</gadget>\n<output>523</output>\n\n<result>523</result>",
"result": "523",
"result_float": 523.0,
"equation": "x=52.3*10",
"answer": "首先，我们将52.3因数分解为两个因数。52.3=2.3*23，因此52.3的两个因数分别为2.3和23。\n\n接下来，将一个因数扩大10倍得到23*10=230，另一个因数不变得到2.3，则它们的积是230*2.3=529。\n\n因此，一个因数扩大10倍，另一个因数不变时，积为529。",
"judge": 1,
"question_english": "The product of two factors is 52.3. If one factor is enlarged by 10 times and the other factor remains unchanged, what is the product?"
},
{
"id": "ape210k__00776641",
"question": "一辆压路机每分钟行驶100米，压路机的滚筒宽度是2m．压路机行驶5分钟，能压路面多少平方米？",
"chain": "<gadget id=\"calculator\">100 * 5 * 2</gadget>\n<output>1_000</output>\n\n<result>1_000</result>",
"result": "1_000",
"result_float": 1000.0,
"equation": "x=100*5*2",
"answer": "压路机每分钟行驶100米，5分钟行驶的总距离为：\n100米/分钟 * 5分钟 = 500米\n\n由于压路机的滚筒宽度是2m，所以每分钟能够覆盖的路面面积为：\n2m * 100米/分钟 = 200平方米\n\n压路机行驶5分钟，能够覆盖的总路面面积为：\n200平方米/分钟 * 5分钟 = 1000平方米\n\n因此，压路机行驶5分钟，能够覆盖的总路面面积为1000平方米。",
"judge": 0,
"question_english": "road roller travels 100 meters per minute, and the roller width of the road roller is 2m. How many square meters can the road roller press for 5 minutes?"
},
{
"id": "ape210k__00449384",
"question": "平东乡修一条2.04千米的护城河河堤，前15天平均每天修0.085千米，余下的要用5天完成，平均每天修多少米？",
"chain": "<gadget id=\"calculator\">0.085 * 15</gadget>\n<output>1.275</output>\n\n<gadget id=\"calculator\">2.04 - 1.275</gadget>\n<output>0.765</output>\n\n<gadget id=\"calculator\">0.765 / 5</gadget>\n<output>0.153</output>\n\n<result>0.153</result>",
"result": "0.153",
"result_float": 0.153,
"equation": "x=(2.04-0.085*15)/5",
"answer": "前15天修的总长度为15天 * 0.085千米/天 = 1.275千米\n剩余长度为2.04千米 - 1.275千米 = 0.765千米\n\n剩余长度需要在5天内完成，所以平均每天修的长度为0.765千米 / 5天 = 0.153千米/天\n\n所以平均每天修0.153千米，即153米。",
"judge": 0,
"question_english": "Pingdong Township built a moat embankment of 2.04 kilometers, an average of 0.085 kilometers per day in the first 15 days, and the rest will take 5 days to complete, how many meters per day on average?"
},
{
"id": "ape210k__00010033",
"question": "小明一家三人准备在假期到附近的风景区游玩，他父亲计划每天的支出如下：交通费15元、住宿费75元、伙食费120元．往返火车票270元．他们如果外出15天，至少要准备多少钱？",
"chain": "<gadget id=\"calculator\">210 + 270</gadget>\n<output>480</output>\n\n<result>480</result>",
"result": "480",
"result_float": 480.0,
"equation": "x=210+270",
"answer": "小明一家外出15天，每天的支出包括：交通费15元+住宿费75元+伙食费120元=210元。\n\n往返火车票270元。\n\n每天支出加往返火车票共计210元+270元=480元。\n\n所以，小明一家外出15天至少要准备480元*15天=7200元。",
"judge": 1,
"question_english": "The three members of Xiao Ming's family plan to visit a nearby scenic spot during the holiday. His father plans to spend as follows: 15 yuan for transportation, 75 yuan for accommodation, and 120 yuan for food. The round-trip train ticket is 270 yuan. If they go out for 15 days, at least how much money should they prepare?"
},
{
"id": "ape210k__00254884",
"question": "计算：23*2*4+24*4*2+26*1*8+27*8*1=",
"chain": "<gadget id=\"calculator\">23 * 2 * 4</gadget>\n<output>184</output>\n\n<gadget id=\"calculator\">24 * 4 * 2</gadget>\n<output>192</output>\n\n<gadget id=\"calculator\">26 * 1 * 8</gadget>\n<output>208</output>\n\n<gadget id=\"calculator\">27 * 8 * 1</gadget>\n<output>216</output>\n\n<gadget id=\"calculator\">184 + 192 + 208 + 216</gadget>\n<output>800</output>\n\n<result>800</result>",
"result": "800",
"result_float": 800.0,
"equation": "x=23*2*4+24*4*2+26*1*8+27*8*1",
"answer": "23*2*4 + 24*4*2 + 26*1*8 + 27*8*1\n\n= 184 + 192 + 208 + 216\n\n= 800\n\n所以，23*2*4 + 24*4*2 + 26*1*8 + 27*8*1 = 800。",
"judge": 0,
"question_english": "Calculation: 23*2*4+24*4*2+26*1*8+27*8*1="
},
{
"id": "ape210k__00307328",
"question": "一个油箱长1米，宽0.6米，高5分米，里面装满汽油，可装多少升汽油？",
"chain": "<gadget id=\"calculator\">1 * 10 * 0.6 * 1 * 10 * 5</gadget>\n<output>300</output>\n\n<result>300</result>",
"result": "300",
"result_float": 300.0,
"equation": "x=1*10*0.6*1*10*5",
"answer": "首先计算油箱的体积：\n\n长1米 x 宽0.6米 x 高5分米 = 3 立方米\n\n假设汽油的密度为0.75 千克/升，转换成立方米为0.75 千克/立方米\n\n因此，油箱中可装的汽油质量为：\n\n3 立方米 x 0.75 千克/立方米 = 2.25 千克\n\n由于汽油的密度为0.75 千克/升，所以油箱中可装的汽油数量为：\n\n2.25 千克 / 0.75 千克/升 = 3 升\n\n因此，油箱中可以装3升汽油。",
"judge": 1,
"question_english": "A fuel tank is 1 meter long, 0.6 meters wide, and 5 decimeters high. If it is filled with gasoline, how many liters of gasoline can it hold?"
},
{
"id": "ape210k__00498215",
"question": "甲乙两地相距212千米，一辆汽车从甲地开往乙地，行驶了3小时，距乙地还有26千米，这辆汽车平均每小时行驶多少千米？",
"chain": "<gadget id=\"calculator\">212 - 26</gadget>\n<output>186</output>\n\n<gadget id=\"calculator\">186 / 3</gadget>\n<output>62</output>\n\n<result>62</result>",
"result": "62",
"result_float": 62.0,
"equation": "x=(212-26)/3",
"answer": "根据题目中提到的信息：\n\n1. 甲乙两地相距212千米；\n2. 汽车从甲地开往乙地，行驶了3小时，距乙地还有26千米。\n\n那么汽车共行驶的路程为 212 - 26 = 186 千米，时间为 3 小时。\n\n因此，汽车平均每小时行驶的千米数为 186 / 3 = 62 千米。",
"judge": 0,
"question_english": "The distance between A and B is 212 kilometers. A car drives from A to B for 3 hours, and the distance to B is 26 kilometers. How many kilometers per hour does the car drive on average?"
},
{
"id": "ape210k__00014030",
"question": "甲、乙两个港口相距77千米，船速为每小时9千米，水流速度为每小时2千米，那么由甲港到乙港顺水航行需多少小时．",
"chain": "<gadget id=\"calculator\">9 + 2</gadget>\n<output>11</output>\n\n<gadget id=\"calculator\">77 / 11</gadget>\n<output>7</output>\n\n<result>7</result>",
"result": "7",
"result_float": 7.0,
"equation": "x=77/(9+2)",
"answer": "首先计算船在水流中实际的速度：9千米/小时的船速减去2千米/小时的水流速度，实际速度为7千米/小时。\n\n然后计算由甲港到乙港的距离为77千米。船只相对于水流的速度为7千米/小时，因此船只需要行驶77千米/7千米/小时=11小时。\n\n所以由甲港到乙港顺水航行需要11小时。",
"judge": 1,
"question_english": "The distance between two ports, A and B, is 77 kilometers, the speed of the ship is 9 kilometers per hour, and the speed of the water is 2 kilometers per hour. How many hours does it take to sail from port A to port B along the water?"
},
{
"id": "ape210k__00026875",
"question": "已知两个正整数的最大公因数是4，最小公倍数是24，那么这两个数和的最大值是多少．",
"chain": "<gadget id=\"calculator\">4 + 24</gadget>\n<output>28</output>\n\n<result>28</result>",
"result": "28",
"result_float": 28.0,
"equation": "x=4+24",
"answer": "首先根据最大公因数和最小公倍数的性质，可以得出这两个正整数分别是4的倍数和3的倍数，且它们的乘积等于4乘以3乘以最大公因数4，即num1*num2=4*3*4=48。\n\n因此，这两个正整数可能的取值为（4，12）、（8，6）、（12，4）。\n\n这两个正整数的和最大值为12加6=18。答：18。",
"judge": 1,
"question_english": "Given that the greatest common factor of two positive integers is 4 and the least common multiple is 24, what is the maximum value of the sum of these two numbers?"
},
{
"id": "ape210k__00631479",
"question": "一个三位数，百位上的数字是十位数上的2倍，是个位上数字的4倍．这个三位数最小是多少．",
"chain": "<result>421</result>",
"result": "421",
"result_float": 421.0,
"equation": "x=421",
"answer": "132。",
"judge": 1,
"question_english": "For a three-digit number, the number in the hundreds place is twice the number in the tens place, and it is four times the number in the ones place. What is the smallest three-digit number?"
},
{
"id": "ape210k__00628873",
"question": "三年级1班举行唱歌比赛，每两个同学赛一场，共进行了6次，参加唱歌比赛的有多少人．",
"chain": "<result>4</result>",
"result": "4",
"result_float": 4.0,
"equation": "x=4",
"answer": "参加唱歌比赛的人数为12人。因为每两个同学赛一次，一共进行了6次比赛，所以参加比赛的人数即为6*2=12人。",
"judge": 1,
"question_english": "Class 1 of the third grade held a singing competition, every two students competed one game, a total of 6 times, how many people participated in the singing competition."
},
{
"id": "ape210k__00220124",
"question": "鸡兔同笼，共有40个头，兔脚的数目比鸡脚的数目的10倍少8只，那么兔有多少只．",
"chain": "<gadget id=\"calculator\">10 * 2 * 40</gadget>\n<output>800</output>\n\n<gadget id=\"calculator\">800 - 8</gadget>\n<output>792</output>\n\n<gadget id=\"calculator\">10 * 2</gadget>\n<output>20</output>\n\n<gadget id=\"calculator\">4 + 20</gadget>\n<output>24</output>\n\n<gadget id=\"calculator\">792 / 24</gadget>\n<output>33</output>\n\n<result>33</result>",
"result": "33",
"result_float": 33.0,
"equation": "x=(10*2*40-8)/(4+10*2)",
"answer": "设鸡有x只，兔有y只。\n\n根据题意，可得方程组：\n1. x + y = 40 （40个头）\n2. 2x + 4y = 2*(x + y) + 2*y = 80 + 2y （总脚数）\n\n再根据兔脚的数目比鸡脚的数目的10倍少8只：\n4y = 10x - 8\n即，10x - 4y = 8\n\n联立以上三个方程，得到：\n10x - 4y = 8\n-2x - 4y = -80\n------------------\n8x = 72\nx = 9\n\n将x = 9 代入 x + y = 40，得到：\n9 + y = 40\ny = 31\n\n所以兔的数量为31只。",
"judge": 0,
"question_english": "There are 40 chickens and rabbits in the same cage, and the number of rabbit feet is 8 less than 10 times the number of chicken feet, so how many rabbits are there?"
},
{
"id": "ape210k__00385466",
"question": "一种混凝土除水以外由水泥、沙子、石子搅拌而成，水泥、沙子和石子的比是2：3：5．如果现在工地上有水泥1500千克，沙子1800千克，石子3520千克，施工负责人要求工人们在不增加这三种材料基础上，尽可能多搅拌这种混凝土，那么最多能用这些材料搅拌出多少千克的这种混凝土？？",
"chain": "<gadget id=\"calculator\">1_800 / 3</gadget>\n<output>600</output>\n\n<gadget id=\"calculator\">600 * 5</gadget>\n<output>3_000</output>\n\n<gadget id=\"calculator\">600 * 2</gadget>\n<output>1_200</output>\n\n<gadget id=\"calculator\">1_800 + 3_000 + 1_200</gadget>\n<output>6_000</output>\n\n<result>6_000</result>",
"result": "6_000",
"result_float": 6000.0,
"equation": "x=1800+((1800/3)*5)+((1800/3)*2)",
"answer": "首先计算出水泥、沙子、石子的总重量：\n水泥1500千克\n沙子1800千克\n石子3520千克\n总重量 = 1500 + 1800 + 3520 = 6820千克\n\n根据水泥、沙子、石子的比例2：3：5，可以计算出混凝土中水泥、沙子、石子的重量分别为：\n水泥：6820 / (2+3+5) * 2 = 2046千克\n沙子：6820 / (2+3+5) * 3 = 3069千克\n石子：6820 / (2+3+5) * 5 = 5105千克\n\n所以最多能用这些材料搅拌出的混凝土重量为2046 + 3069 + 5105 = 10220千克。",
"judge": 1,
"question_english": "kind of concrete is made by mixing cement, sand, and stones in addition to water. The ratio of cement, sand, and stones is 2:3:5. If there are 1,500 kilograms of cement, 1,800 kilograms of sand, and 3,520 kilograms of gravel on the construction site, and the person in charge of the construction asks the workers to mix as much concrete as possible without adding these three materials, how much can be mixed with these materials at most? kg of this concrete? ?"
},
{
"id": "ape210k__00220008",
"question": "袋中装有10种不同颜色的珠子，每种都是100个．要想保证从袋中摸出3种不同颜色的珠子并且每种至少10个，那么至少要摸出多少个珠子．",
"chain": "<gadget id=\"calculator\">100 * 2</gadget>\n<output>200</output>\n\n<gadget id=\"calculator\">9 * 8</gadget>\n<output>72</output>\n\n<gadget id=\"calculator\">200 + 72 + 1</gadget>\n<output>273</output>\n\n<result>273</result>",
"result": "273",
"result_float": 273.0,
"equation": "x=100*2+9*8+1",
"answer": "至少要摸出31个珠子才能保证摸出3种不同颜色的珠子并且每种至少有10个。 \n\n首先，我们选择其中一种颜色的珠子，摸取10个。然后，我们再摸取另外两种不同颜色的珠子，每种至少摸取10个。因此，至少要摸取10 + 10 + 10 = 30个珠子才能满足条件。最后一个珠子可以是任何颜色都可以，因此总共需要摸取31个珠子。",
"judge": 1,
"question_english": "The bag contains 10 beads of different colors, 100 of each. If you want to ensure that 3 beads of different colors are drawn from the bag and at least 10 of each are drawn, then at least how many beads must be drawn."
},
{
"id": "ape210k__00613393",
"question": "一个底面积是正方形的长方体，它的底面周长是24厘米，高是15厘米，它的表面积是多少平方厘米．",
"chain": "<gadget id=\"calculator\">24 / 4</gadget>\n<output>6</output>\n\n<gadget id=\"calculator\">6 * 6</gadget>\n<output>36</output>\n\n<gadget id=\"calculator\">6 * 15</gadget>\n<output>90</output>\n\n<gadget id=\"calculator\">36 + 90 + 90</gadget>\n<output>216</output>\n\n<gadget id=\"calculator\">216 * 2</gadget>\n<output>432</output>\n\n<result>432</result>",
"result": "432",
"result_float": 432.0,
"equation": "x=((24/4)*(24/4)+(24/4)*15+(24/4)*15)*2",
"answer": "底面积为正方形，那么正方形的边长为24厘米 ÷ 4 = 6厘米\n长方体的底面积为6厘米 × 6厘米 = 36平方厘米\n\n长方体的侧面积为底面周长乘以高度，即24厘米 × 15厘米 = 360平方厘米（包含前后两面）\n两个侧面积加起来为720平方厘米\n\n长方体的底面积加上侧面积即为总表面积，即36平方厘米 + 720平方厘米 = 756平方厘米\n\n所以，长方体的表面积为756平方厘米。",
"judge": 1,
"question_english": "A cuboid whose base area is a square has a perimeter of 24 cm and a height of 15 cm, what is its surface area in square centimeters?"
},
{
"id": "ape210k__00008281",
"question": "小明看一本200页的故事书，第一天看了全书的20%，第二天看了全书的35%，还剩多少页没有看？",
"chain": "<gadget id=\"calculator\">20 / 100</gadget>\n<output>1/5 = around 0.2</output>\n\n<gadget id=\"calculator\">35 / 100</gadget>\n<output>7/20 = around 0.35</output>\n\n<gadget id=\"calculator\">1 - (1/5) - (7/20)</gadget>\n<output>9/20 = around 0.45</output>\n\n<gadget id=\"calculator\">200 * (9/20)</gadget>\n<output>90</output>\n\n<result>90</result>",
"result": "90",
"result_float": 90.0,
"equation": "x=200*(1-20%-35%)",
"answer": "根据题意，第一天看了200页的20%，即40页；第二天看了全书的35%，即全书的70页。那么小明总共看了40+70=110页，剩下的页数为200-110=90页。所以还剩下90页没有看。",
"judge": 0,