# # ################################### NEW SHOT ###################################
dict(role='HUMAN',prompt='Mark\'s basketball team scores 25 2 pointers, 8 3 pointers and 10 free throws. Their opponents score double the 2 pointers but half the 3 pointers and free throws. What\'s the total number of points scored by both teams added together?'),
dict(role='BOT',prompt='Thought: According to the response, I got the answer\nFinalAnswer: 201'),
dict(role='HUMAN',prompt='Bella has two times as many marbles as frisbees. She also has 20 more frisbees than deck cards. If she buys 2/5 times more of each item, what would be the total number of the items she will have if she currently has 60 marbles?'),
dict(role='BOT',prompt='Thought: According to the response, I got the answer\nFinalAnswer: 140'),
dict(role='HUMAN',prompt='A group of 4 fruit baskets contains 9 apples, 15 oranges, and 14 bananas in the first three baskets and 2 less of each fruit in the fourth basket. How many fruits are there?'),
dict(role='HUMAN',prompt="Question: Mark's basketball team scores 25 2 pointers, 8 3 pointers and 10 free throws. Their opponents score double the 2 pointers but half the 3 pointers and free throws. What's the total number of points scored by both teams added together?\nLet's think step by step\nAnswer:"),
dict(role='BOT',prompt="Mark's team scores 25 2 pointers, meaning they scored 25*2= 50 points in 2 pointers.\nHis team also scores 6 3 pointers, meaning they scored 8*3= 24 points in 3 pointers\nThey scored 10 free throws, and free throws count as one point so they scored 10*1=10 points in free throws.\nAll together his team scored 50+24+10= 84 points\nMark's opponents scored double his team's number of 2 pointers, meaning they scored 50*2=100 points in 2 pointers.\nHis opponents scored half his team's number of 3 pointers, meaning they scored 24/2= 12 points in 3 pointers.\nThey also scored half Mark's team's points in free throws, meaning they scored 10/2=5 points in free throws.\nAll together Mark's opponents scored 100+12+5=117 points\nThe total score for the game is both team's scores added together, so it is 84+117=201 points\nThe answer is 201\n"),
dict(role='HUMAN',prompt="Question: Bella has two times as many marbles as frisbees. She also has 20 more frisbees than deck cards. If she buys 2/5 times more of each item, what would be the total number of the items she will have if she currently has 60 marbles?\nLet's think step by step\nAnswer:"),
dict(role='BOT',prompt="When Bella buys 2/5 times more marbles, she'll have increased the number of marbles by 2/5*60 = 24\nThe total number of marbles she'll have is 60+24 = 84\nIf Bella currently has 60 marbles, and she has two times as many marbles as frisbees, she has 60/2 = 30 frisbees.\nIf Bella buys 2/5 times more frisbees, she'll have 2/5*30 = 12 more frisbees.\nThe total number of frisbees she'll have will increase to 30+12 = 42\nBella also has 20 more frisbees than deck cards, meaning she has 30-20 = 10 deck cards\nIf she buys 2/5 times more deck cards, she'll have 2/5*10 = 4 more deck cards.\nThe total number of deck cards she'll have is 10+4 = 14\nTogether, Bella will have a total of 14+42+84 = 140 items\nThe answer is 140\n"),
dict(role='HUMAN',prompt="Question: A group of 4 fruit baskets contains 9 apples, 15 oranges, and 14 bananas in the first three baskets and 2 less of each fruit in the fourth basket. How many fruits are there?\nLet's think step by step\nAnswer:"),
dict(role='BOT',prompt="For the first three baskets, the number of apples and oranges in one basket is 9+15=24\nIn total, together with bananas, the number of fruits in one basket is 24+14=38 for the first three baskets.\nSince there are three baskets each having 38 fruits, there are 3*38=114 fruits in the first three baskets.\nThe number of apples in the fourth basket is 9-2=7\nThere are also 15-2=13 oranges in the fourth basket\nThe combined number of oranges and apples in the fourth basket is 13+7=20\nThe fourth basket also contains 14-2=12 bananas.\nIn total, the fourth basket has 20+12=32 fruits.\nThe four baskets together have 32+114=146 fruits.\nThe answer is 146\n"),
dict(role='HUMAN',prompt="Question: {question}\nLet's think step by step\nAnswer:"),
dict(role='BOT',prompt='FinalAnswer: The final answer is $26$. I hope it is correct.'),
dict(role='HUMAN',prompt='The surface area of a sphere with radius $r$ is $4\pi r^2$. Including the area of its circular base, what is the total surface area of a hemisphere with radius 6 cm? Express your answer in terms of $\pi$.'),
dict(role='BOT',prompt="""Tool:PythonInterpreter\nTool Input:import math
def solution():
radius = 6
# Surface area of the hemisphere
hemisphere_area = 2 * math.pi * radius**2
# Area of the circular base
base_area = math.pi * radius**2
# Total surface area
total_surface_area = hemisphere_area + base_area
# Formatting the result in LaTeX
result = r'{}\pi'.format(total_surface_area / math.pi)
return result"""),
dict(role='SYSTEM',prompt='Response:108.0\\pi'),
dict(role='BOT',prompt='FinalAnswer: The final answer is $108.0\pi$. I hope it is correct.'),
dict(role='HUMAN',prompt='Monica tosses a fair 6-sided die. If the roll is a prime number, then she wins that amount of dollars (so that, for example, if she rolls 3, then she wins 3 dollars). If the roll is composite, she wins nothing. Otherwise, she loses 3 dollars. What is the expected value of her winnings on one die toss? Express your answer as a dollar value to the nearest cent.'),
"Problem:\nFind the coefficient of $x^3$ when $3(x^2 - x^3+x) +3(x +2x^3- 3x^2 + 3x^5+x^3) -5(1+x-4x^3 - x^2)$ is simplified.\nSolution:"
),
dict(
role="BOT",
prompt=
"Combine like terms to simplify the expression. The coefficient of $x^3$ is calculated as $$(-3+2\cdot(2+1))+(-5)\cdot(-4))$ = 26$. Thus, the coefficient of $x^3$ is $\\boxed{26}$.\nFinal Answer: The final answer is $26$. I hope it is correct.\n"
),
dict(
role="HUMAN",
prompt=
"Problem:\nThe surface area of a sphere with radius $r$ is $4\pi r^2$. Including the area of its circular base, what is the total surface area of a hemisphere with radius 6 cm? Express your answer in terms of $\pi$.\nSolution:"
),
dict(
role="BOT",
prompt=
"The surface area of a hemisphere (not including the base) is half that of a sphere, so it is $2\pi r^2$. The area of the base is $\pi r^2$. Therefore, for a hemisphere with radius 6 cm, the total surface area is $2\pi (6)^2 + \pi (6)^2 = 108\pi$ square cm.\nFinal Answer: The final answer is $108\pi$ square cm. I hope it is correct.\n"
),
dict(
role="HUMAN",
prompt=
"Problem:\nMonica tosses a fair 6-sided die. If the roll is a prime number, then she wins that amount of dollars (so that, for example, if she rolls 3, then she wins 3 dollars). If the roll is composite, she wins nothing. Otherwise, she loses 3 dollars. What is the expected value of her winnings on one die toss? Express your answer as a dollar value to the nearest cent.\nSolution:"
),
dict(
role="BOT",
prompt=
"The prime numbers rolled could be 2, 3, or 5, and each has a 1/6 chance of being rolled. The composite number 4 or 6 has a 2/6 chance of being rolled, but it results in $0 win. The remaining non-prime and non-composite number is 1 , and it results in a loss of $3, with a 1/6 chance. So, the expected winnings are $(2+3+5)(1/6)+0(2/6)+(-3)(1/6) = \$1.17$.\nFinal Answer: The final answer is $\$1.17$. I hope it is correct.\n"
"We find $3 \mathbf{b}$ first, which is $\\begin{pmatrix} 12 \\ 6 \\ -3 \end{pmatrix}$. Then we subtract this vector from $\mathbf{a}$. So, $\mathbf{a} - 3 \mathbf{b} = \\begin{pmatrix} -7 - 12 \\ 0 - 6 \\ 1 - (-3) \end{pmatrix} = \\begin{pmatrix} -19 \\ -6 \\ 4 \end{pmatrix}.$\nFinal Answer: The final answer is $\\begin{pmatrix} -19 \\ -6 \\ 4 \end{pmatrix}$. I hope it is correct.\n"