# just pick first 3 questions in the training set
standard_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: \\boxed{{72}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: \\boxed{{10}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: \\boxed{{5}}"""
cot_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: Natalia sold 48/2 = <<48/2=24>>24 clips in May.\nNatalia sold 48+24 = <<48+24=72>>72 clips altogether in April and May. The answer is \\boxed{{72}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $<<12/60=0.2>>0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $<<0.2*50=10>>10. Therefore the answer is \\boxed{{10}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: In the beginning, Betty has only 100 / 2 = $<<100/2=50>>50.\nBetty's grandparents gave her 15 * 2 = $<<15*2=30>>30.\nThis means, Betty needs 100 - 50 - 30 - 15 = $<<100-50-30-15=5>>5 more. The final answer is \\boxed{{5}}"""
# answer and then reason
cot_fewshots_reason_latter = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: \\boxed{{72}}
Reason: Natalia sold 48/2 = <<48/2=24>>24 clips in May.\nNatalia sold 48+24 = <<48+24=72>>72 clips altogether in April and May.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: \\boxed{{10}}
Reason: Weng earns 12/60 = $<<12/60=0.2>>0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $<<0.2*50=10>>10.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: \\boxed{{5}}
Reason: In the beginning, Betty has only 100 / 2 = $<<100/2=50>>50.\nBetty's grandparents gave her 15 * 2 = $<<15*2=30>>30.\nThis means, Betty needs 100 - 50 - 30 - 15 = $<<100-50-30-15=5>>5 more."""
# answer and then reason, and answer again.
cot_fewshots_reason_latter2 = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: \\boxed{{72}}
Reason: Natalia sold 48/2 = <<48/2=24>>24 clips in May.\nNatalia sold 48+24 = <<48+24=72>>72 clips altogether in April and May. The answer is \\boxed{{72}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: \\boxed{{10}}
Reason: Weng earns 12/60 = $<<12/60=0.2>>0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $<<0.2*50=10>>10. Therefore the answer is \\boxed{{10}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: \\boxed{{5}}
Reason: In the beginning, Betty has only 100 / 2 = $<<100/2=50>>50.\nBetty's grandparents gave her 15 * 2 = $<<15*2=30>>30.\nThis means, Betty needs 100 - 50 - 30 - 15 = $<<100-50-30-15=5>>5 more. The final answer is \\boxed{{5}}"""
# 4 types of wrong reasonings:
# 1. reasonings from other questions, correct answers
# 1.5 reasonigns from other questions along with their answers
# 2. reasoning is correct, number is wrong
# 3. one step is missing
# 4. symbol mapping incorrect

# get #4-6 reasonings from the training set (or even just have incorrect answers)
cot_wrong_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: Maila read 12 x 2 = <<12*2=24>>24 pages today.\nSo she was able to read a total of 12 + 24 = <<12+24=36>>36 pages since yesterday.\nThere are 120 - 36 = <<120-36=84>>84 pages left to be read.\nSince she wants to read half of the remaining pages tomorrow, then she should read 84/2 = <<84/2=42>>42 pages. The answer is \\boxed{{72}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: He writes each friend 3*2=<<3*2=6>>6 pages a week\nSo he writes 6*2=<<6*2=12>>12 pages every week\nThat means he writes 12*52=<<12*52=624>>624 pages a year. Therefore the answer is \\boxed{{10}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: There are 80/100 * 10 = <<80/100*10=8>>8 more purple flowers than yellow flowers.\nSo in Mark's garden, there are 10 + 8 = <<10+8=18>>18 purple flowers.\nPurple and yellow flowers sum up to 10 + 18 = <<10+18=28>>28 flowers.\nThat means in Mark's garden there are 25/100 * 28 = <<25/100*28=7>>7 green flowers.\nSo in total Mark has 28 + 7 = <<28+7=35>>35 plants in his garden. The final answer is \\boxed{{5}}"""

# get #4-6 reasonings from the training set and their answers
cot_wrong_fewshots2 = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: Maila read 12 x 2 = <<12*2=24>>24 pages today.\nSo she was able to read a total of 12 + 24 = <<12+24=36>>36 pages since yesterday.\nThere are 120 - 36 = <<120-36=84>>84 pages left to be read.\nSince she wants to read half of the remaining pages tomorrow, then she should read 84/2 = <<84/2=42>>42 pages. The answer is \\boxed{{42}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: He writes each friend 3*2=<<3*2=6>>6 pages a week\nSo he writes 6*2=<<6*2=12>>12 pages every week\nThat means he writes 12*52=<<12*52=624>>624 pages a year. Therefore the answer is \\boxed{{624}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: There are 80/100 * 10 = <<80/100*10=8>>8 more purple flowers than yellow flowers.\nSo in Mark's garden, there are 10 + 8 = <<10+8=18>>18 purple flowers.\nPurple and yellow flowers sum up to 10 + 18 = <<10+18=28>>28 flowers.\nThat means in Mark's garden there are 25/100 * 28 = <<25/100*28=7>>7 green flowers.\nSo in total Mark has 28 + 7 = <<28+7=35>>35 plants in his garden. The final answer is \\boxed{{35}}"""

# reasoning is correct, number is wrong
cot_wrong_number_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: Natalia sold 48/2 = <<48/2=24>>24 clips in May.\nNatalia sold 48+24 = <<48+24=72>>72 clips altogether in April and May. The answer is \\boxed{{72}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $<<12/60=0.2>>0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $<<0.2*50=10>>10. Therefore the answer is \\boxed{{10}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: In the beginning, Betty has only 100 / 2 = $<<100/2=50>>50.\nBetty's grandparents gave her 15 * 2 = $<<15*2=30>>30.\nThis means, Betty needs 100 - 50 - 30 - 15 = $<<100-50-30-15=5>>5 more. The final answer is \\boxed{{5}}"""


# example 1 gets number wrong, example 2 skipped a step, example 3 symbol mapping incorrect
reflexion_reflect_fewshot = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: Natalia sold 48/2 = 24 clips in May.\nNatalia sold 48+24 = 70 clips altogether in April and May. The answer is \\boxed{{70}}

Reflection: My reasoning for how many chips have Natalia sold in April and May is incorrect because I had a miscalculation. I added 48 and 24 and got 70, but the correct calculation is 48 + 24 = 72. So the correct answer is 72. In the future, I will be more careful with my calculations. 

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $0.2 per minute.\n Hence she earned $0.2. Therefore the answer is \\boxed{{0.2}}

Reflection: My reasoning for how much Weng earned is incorrect because I skipped a step. I calculated how much Weng earns per minute, but I did not multiply it by the number of minutes she worked. In the future, I need to ensure that each step is completed before moving on to the next step. I will also make sure I fully answered the question.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: In the beginning, Betty has only 100 / 2 = $50.\nBetty's grandparents gave her 50 * 2 = $100.\nThis means, Betty needs 100 - 50 - 100 - 15 = $-65 more. The final answer is \\boxed{{-65}}

Reflection: My reasoning for how much more money Betty needs to buy the wallet is incorrect because I used the wrong number for an intermediate calculation. To compute how much money Betty's grandparents gave Betty, I multiplied 50 by 2, but the correct calculation is 15 * 2 = 30. Since 50 is what Betty has in the beginning, and I mistook it as how much her grandparents gave her. In the future, I need to be more careful with what's given and what should be calculated. I need to make sure I fully understand each reasoning step, and be accurate with symbols used. """

tips = """- Ensure you correctly interpret the problem statement. In this case, the initial number of corns was miscalculated. Always double-check your understanding of the problem before setting up equations.
- When subtracting quantities, ensure you subtract from the total amount, not from a subset of the total. Also, when dealing with fractions or halves, ensure you correctly calculate the remaining amount.
- When calculating the number of items needed, always consider the total space each item will occupy, including any additional space required between items."""

#####################
# effect of wrong fewshots
# 0. fewshots, everyting correct
cot_allwrong_gold_fewshots = """Question: If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now?
Answer: If Rena will be 5 years older than Pam in 10 years, this means they have a 5 year age gap.\nTherefore, to be twice Pam's age, Rena would have to be 5*2=<<5*2=10>>10 years old.\nThis means that Pam is currently 10-5= <<10-5=5>>5 years old.\nThe answer is \\boxed{{5}}

Question: Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?
Answer: The population of Gordonia is 1/2 * 80000 people = 40000 people\nToadon has 60/100 * 40000 people = <<60/100*40000=24000>>24000 people\nThe total population of Gordonia and Toadon is 40000 people + 24000 people = <<40000+24000=64000>>64000 people\nThe population of Lake Bright is 80000 people - 64000 people = <<80000-64000=16000>>16000 people\nTherefore the answer is \\boxed{{16000}}.

Question: The number of coronavirus cases in a certain country was 300 infections per day during the first wave. However, the number of cases increased by four times more per day as a new coronavirus variant started infecting people in a second wave. What was the total number of infections during the second wave in 2 weeks?
Answer: When the number of cases increased by four times more per day during the second wave, there were 4*300 = <<4*300=1200>>1200 more infections per day than during the first wave.\nThe total number of infections during the second wave per day was 1200+300=<<1200+300=1500>>1500\nFor two weeks with 14 days, the number of me infections was 14*1500=<<14*1500=21000>>21000\nThe final answer is \\boxed{{21000}}."""

cot_allwrong_generated_gold_fewshots = """"""


# 1. fewshots, wrong reasoning, wrong answer, both from other examples

cot_allwrong_fewshots1 = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: Maila read 12 x 2 = <<12*2=24>>24 pages today.\nSo she was able to read a total of 12 + 24 = <<12+24=36>>36 pages since yesterday.\nThere are 120 - 36 = <<120-36=84>>84 pages left to be read.\nSince she wants to read half of the remaining pages tomorrow, then she should read 84/2 = <<84/2=42>>42 pages. The answer is \\boxed{{72}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: He writes each friend 3*2=<<3*2=6>>6 pages a week\nSo he writes 6*2=<<6*2=12>>12 pages every week\nThat means he writes 12*52=<<12*52=624>>624 pages a year. Therefore the answer is \\boxed{{10}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: There are 80/100 * 10 = <<80/100*10=8>>8 more purple flowers than yellow flowers.\nSo in Mark's garden, there are 10 + 8 = <<10+8=18>>18 purple flowers.\nPurple and yellow flowers sum up to 10 + 18 = <<10+18=28>>28 flowers.\nThat means in Mark's garden there are 25/100 * 28 = <<25/100*28=7>>7 green flowers.\nSo in total Mark has 28 + 7 = <<28+7=35>>35 plants in his garden. The final answer is \\boxed{{5}}"""

# the version where questions are consistent to below
cot_allwrong_fewshots2 = """Question: If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now?
Answer: Maila read 12 x 2 = <<12*2=24>>24 pages today.\nSo she was able to read a total of 12 + 24 = <<12+24=36>>36 pages since yesterday.\nThere are 120 - 36 = <<120-36=84>>84 pages left to be read.\nSince she wants to read half of the remaining pages tomorrow, then she should read 84/2 = <<84/2=42>>42 pages. The answer is \\boxed{{72}}

Question: Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?
Answer: He writes each friend 3*2=<<3*2=6>>6 pages a week\nSo he writes 6*2=<<6*2=12>>12 pages every week\nThat means he writes 12*52=<<12*52=624>>624 pages a year. Therefore the answer is \\boxed{{10}}

Question: The number of coronavirus cases in a certain country was 300 infections per day during the first wave. However, the number of cases increased by four times more per day as a new coronavirus variant started infecting people in a second wave. What was the total number of infections during the second wave in 2 weeks?
Answer: There are 80/100 * 10 = <<80/100*10=8>>8 more purple flowers than yellow flowers.\nSo in Mark's garden, there are 10 + 8 = <<10+8=18>>18 purple flowers.\nPurple and yellow flowers sum up to 10 + 18 = <<10+18=28>>28 flowers.\nThat means in Mark's garden there are 25/100 * 28 = <<25/100*28=7>>7 green flowers.\nSo in total Mark has 28 + 7 = <<28+7=35>>35 plants in his garden. The final answer is \\boxed{{5}}"""


# 2. fewshots, wrong reasoning, wrong answer, from incorrect generations

cot_allwrong_fewshots3 = """Question: If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now?
Answer: Let's start by using algebra to represent the information given in the problem. \n\nLet's say that Pam's current age is "P" and Rena's current age is "R". \n\nFrom the first sentence, we know that:\n\nP = 2R \n\nThis means that Pam is currently twice as young as Rena. \n\nNow let's look at the second sentence. It says that in 10 years, Rena will be 5 years older than Pam. \n\nWe can represent this with another equation: \n\nR + 10 = P + 15 \n\nThis equation says that Rena's age in 10 years (R+10) will be 5 years older than Pam's age in 10 years (P+15). \n\nNow we can use substitution to solve for Pam's current age. We'll substitute the first equation (P=2R) into the second equation: \n\nR + 10 = 2R + 15 \n\nSimplifying this equation, we get: \n\nR = 5 \n\nSo Rena is currently 5 years old. \n\nNow we can use the first equation (P=2R) to find Pam's current age: \n\nP = 2R = 2(5) = 10 \n\nTherefore, Pam is currently \\boxed{{10}} years old.

Question: Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?
Answer: Let the population of Gordonia be x. Then, we know that the total population of the three towns is 80000, so:\n\nx + 0.6x + y = 80000\n\nwhere y is the population of Lake Bright. We also know that Gordonia has 1/2 times the total population, so:\n\nx = 1/2(80000) = 40000\n\nSubstituting this into the first equation, we can solve for y:\n\n40000 + 0.6(40000) + y = 80000\ny = 8000\n\nTherefore, the population of Lake Bright is 8000, and our final answer is \\boxed{{8000}}.

Question: The number of coronavirus cases in a certain country was 300 infections per day during the first wave. However, the number of cases increased by four times more per day as a new coronavirus variant started infecting people in a second wave. What was the total number of infections during the second wave in 2 weeks?
Answer: During the second wave, the number of cases increased by four times more per day than the first wave, meaning there were 4*300 = <<4*300=1200>>1200 infections per day.\nIn 2 weeks, there are 14 days, so the total number of infections during the second wave was 1200*14 = <<1200*14=16800>>16800.\nTherefore, the answer is \\boxed{{16800}}."""

# 3. 1 shot, wrong reasoning, wrong answer, from incorrect generations

cot_allwrong_fewshots4 = """Question: The number of coronavirus cases in a certain country was 300 infections per day during the first wave. However, the number of cases increased by four times more per day as a new coronavirus variant started infecting people in a second wave. What was the total number of infections during the second wave in 2 weeks?
Answer: During the second wave, the number of cases increased by four times more per day than the first wave, meaning there were 4*300 = <<4*300=1200>>1200 infections per day.\nIn 2 weeks, there are 14 days, so the total number of infections during the second wave was 1200*14 = <<1200*14=16800>>16800.\nTherefore, the answer is \\boxed{{16800}}."""

# wrong reasonings & answers from gold answer
cot_allwrong_fewshots5 = """Question: If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now?
Answer: If Rena will be 5 years older than Pam in 10 years, this means they have a 5 year age gap.\nTherefore, to be twice Pam's age, Rena would have to be 5*2=<<5*2=10>>10 years old.\nThis means that Pam is currently 10-10= <<10-10=0>>0 years old.\nThe answer is \\boxed{{0}}.

Question: Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?
Answer: The population of Gordonia is 1/2 * 80000 people = 40000 people\nToadon has 50/100 * 40000 people = <<50/100*40000=20000>>20000 people\nThe total population of Gordonia and Toadon is 40000 people + 20000 people = <<40000+20000=60000>>60000 people\nThe population of Lake Bright is 80000 people - 60000 people = <<80000-60000=20000>>20000 people\nTherefore the answer is \\boxed{{20000}}.

Question: The number of coronavirus cases in a certain country was 300 infections per day during the first wave. However, the number of cases increased by four times more per day as a new coronavirus variant started infecting people in a second wave. What was the total number of infections during the second wave in 2 weeks?
Answer: When the number of cases increased by four times more per day during the second wave, there were 4*300 = <<4*300=1200>>1200 more infections per day than during the first wave.\nThe total number of infections during the second wave per day was 1200+300=<<1200+300=1500>>1500\nFor two weeks with 14 days, the number of me infections was 14*1200=<<14*1200=16800>>16800\nThe final answer is \\boxed{{16800}}."""


cot_first3allwrong_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips.\nIn May, she sold half as many clips as in April, which is 48/3 = 16 clips.\nAltogether, Natalia sold 48 + 16 = 64 clips. The answer is \\boxed{{64}}.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. To find how much Weng earned, we can simply multiply the number of minutes she worked by her hourly rate: $50 \\times 12 = 600$.\n\nTherefore, the answer is \\boxed{{600}}.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $10 * 2 = $20. \nSo, Betty now has $65 + $20 = $85. \n\nTherefore, Betty still needs $100 - $85 = $15 more to buy the wallet. Therefore the answer is \\boxed{{15}}."""

cot_first3allwrong_fewshots2 = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: Natalia sold 48/2 = <<48/3=16>>16 clips in May.\nNatalia sold 48+16 = <<48+16=64>>64 clips altogether in April and May. The answer is \\boxed{{64}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $<<12/60=0.2>>0.2 per minute.\nWorking 50 minutes, she earned 12 x 50 = $<<12*50=600>>600. Therefore the answer is \\boxed{{600}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: In the beginning, Betty has only 100 / 2 = $<<100/2=50>>50.\nBetty's grandparents gave her 10 * 2 = $<<10*2=20>>20.\nThis means, Betty needs 100 - 50 - 20 - 15 = $<<100-50-20-15=15>>15 more. The final answer is \\boxed{{15}}"""



cot_first3allwrong_eval_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips.\nIn May, she sold half as many clips as in April, which is 48/3 = 16 clips.\nAltogether, Natalia sold 48 + 16 = 64 clips. The answer is \\boxed{{64}}.
Evaluation: No, the answer is incorrect because the number of clips sold in May is 48/2 = 24, not 48/3 = 16. Therefore, the correct answer is 48 + 24 = 72.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. To find how much Weng earned, we can simply multiply the number of minutes she worked by her hourly rate: $50 \\times 12 = 600$.\n\nTherefore, the answer is \\boxed{{600}}.
Evaluation: No, this answer is incorrect because we need to first transform 50 minutes into hours. 50 minutes is 50/60 = 5/6 hours. So, Weng earned 5/6 * 12 = 10 dollars.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $10 * 2 = $20. \nSo, Betty now has $65 + $20 = $85. \n\nTherefore, Betty still needs $100 - $85 = $15 more to buy the wallet. Therefore the answer is \\boxed{{15}}.
Evaluation: No, this answer is incorrect. Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30, not $20. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet."""

cot_first3allwrong_eval2_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips.\nIn May, she sold half as many clips as in April, which is 48/3 = 16 clips.\nAltogether, Natalia sold 48 + 16 = 64 clips. The answer is \\boxed{{64}}.
Evaluation: No, the answer is incorrect because the number of clips sold in May is 48/2 = 24, not 48/3 = 16. Therefore, the correct answer is 48 + 24 = 72.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. To find how much Weng earned, we can simply multiply the number of minutes she worked by her hourly rate: $50 \\times 12 = 600$.\n\nTherefore, the answer is \\boxed{{600}}.
Evaluation: No, this answer is incorrect because we need to first transform 50 minutes into hours. 50 minutes is 50/60 = 5/6 hours. So, Weng earned 5/6 * 12 = 10 dollars.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $<<12/60=0.2>>0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $<<0.2*50=10>>10. Therefore the answer is \\boxed{{10}}.
Evaluation: Yes, this answer is correct. There is no computation error nor reasoning error.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $10 * 2 = $20. \nSo, Betty now has $65 + $20 = $85. \n\nTherefore, Betty still needs $100 - $85 = $15 more to buy the wallet. Therefore the answer is \\boxed{{15}}.
Evaluation: No, this answer is incorrect. Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30, not $20. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet."""
# reasoning first.
cot_first3allwrong_eval3_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips.\nIn May, she sold half as many clips as in April, which is 48/3 = 16 clips.\nAltogether, Natalia sold 48 + 16 = 64 clips. The answer is \\boxed{{64}}.
Evaluation: The answer is incorrect because the number of clips sold in May is 48/2 = 24, not 48/3 = 16. Therefore, the correct answer is 48 + 24 = 72. So No, the above answer is not correct.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. To find how much Weng earned, we can simply multiply the number of minutes she worked by her hourly rate: $50 \\times 12 = 600$.\n\nTherefore, the answer is \\boxed{{600}}.
Evaluation: This answer is incorrect because we need to first transform 50 minutes into hours. 50 minutes is 50/60 = 5/6 hours. So, Weng earned 5/6 * 12 = 10 dollars. Hence No, the above answer is not correct.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $10 * 2 = $20. \nSo, Betty now has $65 + $20 = $85. \n\nTherefore, Betty still needs $100 - $85 = $15 more to buy the wallet. Therefore the answer is \\boxed{{15}}.
Evaluation: This answer is incorrect. Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30, not $20. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet. No."""
cot_first3allwrong_eval4_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips.\nIn May, she sold half as many clips as in April, which is 48/3 = 16 clips.\nAltogether, Natalia sold 48 + 16 = 64 clips. The answer is \\boxed{{64}}.
Evaluation: The answer is incorrect because the number of clips sold in May is 48/2 = 24, not 48/3 = 16. Therefore, the correct answer is 48 + 24 = 72.
Response: No.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. To find how much Weng earned, we can simply multiply the number of minutes she worked by her hourly rate: $50 \\times 12 = 600$.\n\nTherefore, the answer is \\boxed{{600}}.
Evaluation: This answer is incorrect because we need to first transform 50 minutes into hours. 50 minutes is 50/60 = 5/6 hours. So, Weng earned 5/6 * 12 = 10 dollars.
Response: No.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $10 * 2 = $20. \nSo, Betty now has $65 + $20 = $85. \n\nTherefore, Betty still needs $100 - $85 = $15 more to buy the wallet. Therefore the answer is \\boxed{{15}}.
Evaluation: This answer is incorrect. Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30, not $20. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet.
Response: No."""
# shortend
cot_first3allwrong_eval5_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips. In May, she sold half as many clips as in April, which is 48/3 = 16 clips. Altogether, Natalia sold 48 + 16 = 64 clips. The answer is \\boxed{{64}}.
Evaluation: The number of clips sold in May is 48/2 = 24, not 48/3 = 16. Therefore, the correct answer is 48 + 24 = 72.
Conclusion: No.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. To find how much Weng earned, we can simply multiply the number of minutes she worked by her hourly rate: $50 \\times 12 = 600$. Therefore, the answer is \\boxed{{600}}.
Evaluation: We need to first transform 50 minutes into hours. 50 minutes is 50/60 = 5/6 hours. So, Weng earned 5/6 * 12 = 10 dollars.
Conclusion: No.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $10 * 2 = $20. \nSo, Betty now has $65 + $20 = $85. \n\nTherefore, Betty still needs $100 - $85 = $15 more to buy the wallet. Therefore the answer is \\boxed{{15}}.
Evaluation: Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30, not $20. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet.
Conclusion: No."""
cot_first3allwrong_eval6_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips. In May, she sold half as many clips as in April, which is 48/3 = 16 clips. Altogether, Natalia sold 48 + 16 = 64 clips. The answer is \\boxed{{64}}.
Evaluation: The number of clips sold in May is 48/2 = 24, not 48/3 = 16. Therefore, the correct answer is 48 + 24 = 72.
Conclusion: No.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. To find how much Weng earned, we can simply multiply the number of minutes she worked by her hourly rate: $50 \\times 12 = 600$. Therefore, the answer is \\boxed{{600}}.
Evaluation: We need to first transform 50 minutes into hours. 50 minutes is 50/60 = 5/6 hours. So, Weng earned 5/6 * 12 = 10 dollars.
Conclusion: No.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $0.2 per minute. Working 50 minutes, she earned 0.2 x 50 = $10. Therefore the answer is \\boxed{{10}}.
Evaluation: There is no computation error nor reasoning error.
Conclusion: Yes.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $10 * 2 = $20. \nSo, Betty now has $65 + $20 = $85. \n\nTherefore, Betty still needs $100 - $85 = $15 more to buy the wallet. Therefore the answer is \\boxed{{15}}.
Evaluation: Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30, not $20. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet.
Conclusion: No."""

cot_llama_long_fewshots = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips. In May, she sold half as many clips as in April, which is 48/3 = 16 clips. Altogether, Natalia sold 48 + 16 = 64 clips. The answer is \\boxed{{64}}.
Evaluation: The number of clips sold in May is 48/2 = 24, not 48/3 = 16. Therefore, the correct answer is 48 + 24 = 72.
Conclusion: No.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $15 * 2 = $30. \nSo, Betty now has $65 + $30 = $95. \n\nTherefore, Betty still needs $100 - $95 = $5 more to buy the wallet. Therefore the answer is \\boxed{{5}}.
Evaluation: Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet, which is correct.
Conclusion: Yes.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. To find how much Weng earned, we can simply multiply the number of minutes she worked by her hourly rate: $50 \\times 12 = 600$. Therefore, the answer is \\boxed{{600}}.
Evaluation: We need to first transform 50 minutes into hours. 50 minutes is 50/60 = 5/6 hours. So, Weng earned 5/6 * 12 = 10 dollars.
Conclusion: No.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $0.2 per minute. Working 50 minutes, she earned 0.2 x 50 = $10. Therefore the answer is \\boxed{{10}}.
Evaluation: There is no computation error nor reasoning error.
Conclusion: Yes.

Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips. In May, she sold half as many clips as in April, which is 48/2 = 24 clips. Altogether, Natalia sold 48 + 24 = 72 clips. The answer is \\boxed{{72}}.
Evaluation: The number of clips sold in May is 48/2 = 24. Natalia sold 48 chips in April. Therefore, the correct answer is 48 + 24 = 72, which is consistent with the above answer.
Conclusion: Yes.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $10 * 2 = $20. \nSo, Betty now has $65 + $20 = $85. \n\nTherefore, Betty still needs $100 - $85 = $15 more to buy the wallet. Therefore the answer is \\boxed{{15}}.
Evaluation: Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30, not $20. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet.
Conclusion: No."""


# 6 different examples
cot_llama_long_fewshots2 = """Question: If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now?
Answer: Let's start by using algebra to represent the information given in the problem. \n\nLet's say that Pam's current age is "P" and Rena's current age is "R". \n\nFrom the first sentence, we know that:\n\nP = 2R \n\nThis means that Pam is currently twice as young as Rena. \n\nNow let's look at the second sentence. It says that in 10 years, Rena will be 5 years older than Pam. \n\nWe can represent this with another equation: \n\nR + 10 = P + 15 \n\nThis equation says that Rena's age in 10 years (R+10) will be 5 years older than Pam's age in 10 years (P+15). \n\nNow we can use substitution to solve for Pam's current age. We'll substitute the first equation (P=2R) into the second equation: \n\nR + 10 = 2R + 15 \n\nSimplifying this equation, we get: \n\nR = 5 \n\nSo Rena is currently 5 years old. \n\nNow we can use the first equation (P=2R) to find Pam's current age: \n\nP = 2R = 2(5) = 10 \n\nTherefore, Pam is currently \\boxed{{10}} years old.
Evaluation: The first equation is wrong, it should be R=2P, since Pam is twice as young as Rena. This caused a subsequent error when substituting the first equation into the second equation. Therefore the final answer is incorrect.
Conclusion: No.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $15 * 2 = $30. \nSo, Betty now has $65 + $30 = $95. \n\nTherefore, Betty still needs $100 - $95 = $5 more to buy the wallet. Therefore the answer is \\boxed{{5}}.
Evaluation: Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet, which is correct.
Conclusion: Yes.

Question: Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?
Answer: Let the population of Gordonia be x. Then, we know that the total population of the three towns is 80000, so:\n\nx + 0.6x + y = 80000\n\nwhere y is the population of Lake Bright. We also know that Gordonia has 1/2 times the total population, so:\n\nx = 1/2(80000) = 40000\n\nSubstituting this into the first equation, we can solve for y:\n\n40000 + 0.6(40000) + y = 80000\ny = 8000\n\nTherefore, the population of Lake Bright is 8000, and our final answer is \\boxed{{8000}}.
Evaluation: When computing 40000 + 0.6(40000) + y = 80000, the correct value of y is y = 80000 - 40000 - 24000 = 16000, not 8000. Therefore, the final answer is incorrect.
Conclusion: No.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $0.2 per minute. Working 50 minutes, she earned 0.2 x 50 = $10. Therefore the answer is \\boxed{{10}}.
Evaluation: There is no computation error nor reasoning error.
Conclusion: Yes.

Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips. In May, she sold half as many clips as in April, which is 48/2 = 24 clips. Altogether, Natalia sold 48 + 24 = 72 clips. The answer is \\boxed{{72}}.
Evaluation: The number of clips sold in May is 48/2 = 24. Natalia sold 48 chips in April. Therefore, the correct answer is 48 + 24 = 72, which is consistent with the above answer.
Conclusion: Yes.

Question: The number of coronavirus cases in a certain country was 300 infections per day during the first wave. However, the number of cases increased by four times more per day as a new coronavirus variant started infecting people in a second wave. What was the total number of infections during the second wave in 2 weeks?
Answer: During the second wave, the number of cases increased by four times more per day than the first wave, meaning there were 4*300 = <<4*300=1200>>1200 infections per day.\nIn 2 weeks, there are 14 days, so the total number of infections during the second wave was 1200*14 = <<1200*14=16800>>16800.\nTherefore, the answer is \\boxed{{16800}}.
Evaluation: The answer misunderstood "4 times more". The correct number of infections per day during the second wave is 300 + 4*300 = 1500, not 4*300 = 1200. Therefore, the final answer is incorrect.
Conclusion: No."""

cot_llama_long_fewshots2_no_structure = """Question: If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now?
Answer: Let's start by using algebra to represent the information given in the problem. \n\nLet's say that Pam's current age is "P" and Rena's current age is "R". \n\nFrom the first sentence, we know that:\n\nP = 2R \n\nThis means that Pam is currently twice as young as Rena. \n\nNow let's look at the second sentence. It says that in 10 years, Rena will be 5 years older than Pam. \n\nWe can represent this with another equation: \n\nR + 10 = P + 15 \n\nThis equation says that Rena's age in 10 years (R+10) will be 5 years older than Pam's age in 10 years (P+15). \n\nNow we can use substitution to solve for Pam's current age. We'll substitute the first equation (P=2R) into the second equation: \n\nR + 10 = 2R + 15 \n\nSimplifying this equation, we get: \n\nR = 5 \n\nSo Rena is currently 5 years old. \n\nNow we can use the first equation (P=2R) to find Pam's current age: \n\nP = 2R = 2(5) = 10 \n\nTherefore, Pam is currently \\boxed{{10}} years old.

Did the answer correctly answer the question?

No. The first equation is wrong, it should be R=2P, since Pam is twice as young as Rena. This caused a subsequent error when substituting the first equation into the second equation. Therefore the final answer is incorrect.

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: According to the problem, Betty has half of the money she needs, which is $100/2 = $50. \nHer parents give her $15, so she now has $50 + $15 = $65. \nHer grandparents give her twice as much as her parents, which is $15 * 2 = $30. \nSo, Betty now has $65 + $30 = $95. \n\nTherefore, Betty still needs $100 - $95 = $5 more to buy the wallet. Therefore the answer is \\boxed{{5}}.

Did the answer correctly answer the question?

Yes. Betty's grandparents give her twice as much as her parents, which is $15 * 2 = $30. So, Betty now has $65 + $30 = $95. Therefore, Betty still needs $100 - $95 = $5 more to buy the wallet, which is correct.
Conclusion: Yes.

Question: Three towns, Toadon, Gordonia, and Lake Bright, have 80000 people. Gordonia has 1/2 times the total population in the three cities. If the population of Toadon is 60 percent of Gordonia's population, how many people live in Lake Bright?
Answer: Let the population of Gordonia be x. Then, we know that the total population of the three towns is 80000, so:\n\nx + 0.6x + y = 80000\n\nwhere y is the population of Lake Bright. We also know that Gordonia has 1/2 times the total population, so:\n\nx = 1/2(80000) = 40000\n\nSubstituting this into the first equation, we can solve for y:\n\n40000 + 0.6(40000) + y = 80000\ny = 8000\n\nTherefore, the population of Lake Bright is 8000, and our final answer is \\boxed{{8000}}.

Did the answer correctly answer the question?

No. When computing 40000 + 0.6(40000) + y = 80000, the correct value of y is y = 80000 - 40000 - 24000 = 16000, not 8000. Therefore, the final answer is incorrect.

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $0.2 per minute. Working 50 minutes, she earned 0.2 x 50 = $10. Therefore the answer is \\boxed{{10}}.

Did the answer correctly answer the question?

Yes. There is no computation error nor reasoning error.

Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: In April, Natalia sold 48 clips. In May, she sold half as many clips as in April, which is 48/2 = 24 clips. Altogether, Natalia sold 48 + 24 = 72 clips. The answer is \\boxed{{72}}.

Did the answer correctly answer the question?

Yes. The number of clips sold in May is 48/2 = 24. Natalia sold 48 chips in April. Therefore, the correct answer is 48 + 24 = 72, which is consistent with the above answer.

Question: The number of coronavirus cases in a certain country was 300 infections per day during the first wave. However, the number of cases increased by four times more per day as a new coronavirus variant started infecting people in a second wave. What was the total number of infections during the second wave in 2 weeks?
Answer: During the second wave, the number of cases increased by four times more per day than the first wave, meaning there were 4*300 = <<4*300=1200>>1200 infections per day.\nIn 2 weeks, there are 14 days, so the total number of infections during the second wave was 1200*14 = <<1200*14=16800>>16800.\nTherefore, the answer is \\boxed{{16800}}.

Did the answer correctly answer the question?

No. The answer misunderstood "4 times more". The correct number of infections per day during the second wave is 300 + 4*300 = 1500, not 4*300 = 1200. Therefore, the final answer is incorrect."""






# taking examples from the testing data
cot_llama_long_fewshots_indomain = """"""




# LLaMA
standard_fewshots_llama = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: \\boxed{{72}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: \\boxed{{10}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: \\boxed{{5}}"""
standard_fewshots_llama_ansformat1 = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: [72]

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: [10]

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: [5]"""
cot_fewshots_llama = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: Natalia sold 48/2 = 24 clips in May.\nNatalia sold 48+24 = 72 clips altogether in April and May. The answer is \\boxed{{72}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $10. Therefore the answer is \\boxed{{10}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: In the beginning, Betty has only 100 / 2 = $50.\nBetty's grandparents gave her 15 * 2 = $30.\nThis means, Betty needs 100 - 50 - 30 - 15 = $5 more. The final answer is \\boxed{{5}}"""
cot_fewshots_llama_ansformat1 = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Answer: Natalia sold 48/2 = 24 clips in May.\nNatalia sold 48+24 = 72 clips altogether in April and May. The answer is [72]

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12/60 = $0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $10. Therefore the answer is [10]

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Answer: In the beginning, Betty has only 100 / 2 = $50.\nBetty's grandparents gave her 15 * 2 = $30.\nThis means, Betty needs 100 - 50 - 30 - 15 = $5 more. The final answer is [5]"""
cot_fewshots_llama_reason = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Reason: Natalia sold 48/2 = 24 clips in May.\nNatalia sold 48+24 = 72 clips altogether in April and May. The answer is \\boxed{{72}}
Answer: \\boxed{{72}}

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Reason: Weng earns 12/60 = $0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $10. Therefore the answer is \\boxed{{10}}
Answer: \\boxed{{10}}

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Reason: In the beginning, Betty has only 100 / 2 = $50.\nBetty's grandparents gave her 15 * 2 = $30.\nThis means, Betty needs 100 - 50 - 30 - 15 = $5 more. The final answer is \\boxed{{5}}
Answer: \\boxed{{5}}"""
cot_fewshots_llama_reason_ansformat1 = """Question: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
Reason: Natalia sold 48/2 = 24 clips in May.\nNatalia sold 48+24 = 72 clips altogether in April and May. The answer is [72]
Answer: [72]

Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Reason: Weng earns 12/60 = $0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $10. Therefore the answer is [10]
Answer: [10]

Question: Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
Reason: In the beginning, Betty has only 100 / 2 = $50.\nBetty's grandparents gave her 15 * 2 = $30.\nThis means, Betty needs 100 - 50 - 30 - 15 = $5 more. The final answer is [5]
Answer: [5]"""

cot_fewshots_llama_MATH ="""Question: The decimal expansion of $8/11$ is a repeating decimal. What is the least number of digits in a repeating block of 8/11?
Answer: Multiply numerator and denominator of 8/11 by 9 to get 72/99.  The decimal form of 72/99 is $0.\\overline{{72}}$, and it has a repeating block of length $\\boxed{{2}}$.

Question: Determine the number of ways to arrange the letters of the word MADAM.
Answer: First we count the arrangements if all the letters are unique, which is $5!$. Then since the M's and the A's are not unique, we divide by $2!$ twice for the arrangements of M's and the arrangements of A's, for an answer of $\dfrac{{5!}}{{2! \\times 2!}} = \\boxed{{30}}$.

Question: Marcelle and Jaclyn each think of a polynomial.  Each of their polynomials is monic, has degree 4, and has the same positive constant term and the same coefficient of $z$. The product of their polynomials is \[z^8 +3z^7 +z^6 +3z^5 +4z^4 +6z^3 +2z^2 +4.\]What  is the constant term of Jaclyn's polynomial?
Answer: Because the constant terms of both polynomials in the product are positive, are the same, and multiply to 4, they must each equal $\\sqrt{{4}} = \\boxed{{2}}$."""