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: 210'),
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='BOT',prompt='Thought: According to the response, I got the answer\nFinalAnswer: 146'),
dict(role='HUMAN',prompt='{question}'),
],
"FEWSHOT_INSTRUCTION_CHOICE":[
dict(role='HUMAN',prompt='Given point P(-1,4) lies on the graph of the inverse proportionality function $y=\\frac{{k}}{{x}}$ (k≠0), what is the value of k? A. $-\\frac{{1}}{{4}}$ B. $\\frac{{1}}{{4}}$ C. $4$ D. $-4$'),
dict(role='BOT',prompt='Tool:PythonInterpreter\nTool Input:from sympy import solve, symbols, Ne, Eq\ndef solution():\n k = symbols(\'k\')\n result = solve([Eq(4, k / (-1)), Ne(k, 0)], k, dict=True)\n return result'),
dict(role='BOT',prompt='Thought: Substituting point P into the function yields the value of k as $-4$\nFinalAnswer: D'),
dict(role='HUMAN',prompt='The graph of the power function $y=(x)$ passes through the point$ (2, \\dfrac {{1}}{{4}}) $, what is the value of $f(-3)$? A. $\\frac{{1}}{{9}}$ B. $\\frac{{1}}{{8}})=196-x$ C. $\\frac{{2}}{{9}}$ D. $\\frac{{1}}{{4}}$'),
dict(role='BOT',prompt='Tool:PythonInterpreter\nTool Input:from sympy import *\ndef solution():\n x, y, k = symbols(\'x y k\')\n eq1 = Eq(2**k, Rational(1, 4))\n k_value = solve(eq1, k)[0]\n y = x**k_value\n result = y.subs(x, -3)\n return result'),
dict(role='SYSTEM',prompt='Response:1/9'),
dict(role='BOT',prompt='Thought: The functional expression of the power function is $y=x^{{-2}}$. Substituting $x=-3$ yields $y=$\\frac{{1}}{{9}}$\nFinalAnswer: A'),
dict(role='HUMAN',prompt='If $3 x-y=12$, what is the value of $\\frac{8^{x}}{2^{y}} ?$\nA. The value cannot be determined from the information given.\nB. $2^{12}$\nC. 4\nD. $8^{2}$'),
dict(role='BOT',prompt='A: First, (9/(-6)*(-2)/3) can be simplified by : 9/(-6) = -1.5, -1.5 * (-2) = 3, 3 / 3 = 1. So, (9/(-6)*(-2)/3) is equal to 1. Now, we have `(341/11)/1` equals `341/11`. Finally, calculate `341/11 = 31`. The answer is 31.\n'),
dict(role='HUMAN',prompt='Q: In base 14, what is 5 - 638d8d?'),
dict(role='BOT',prompt='A: 5 - 638d8d = -638d88. The answer is -638d88.\n'),
dict(role='HUMAN',prompt='Q: What is -491354 times -0.34?'),
dict(role='BOT',prompt='A: The product of -491354 and -0.34 is 167060.36. The answer is 167060.36.\n'),
dict(role='HUMAN',prompt='Q: What is the value of (-55)/(6930/(-382)) + (0 - 3)?.'),
"single_choice_en_with_reasoning":"Here is a multiple-choice question about mathematics. Please provide the final answer option by step-by-step reasoning. Please answer in the following format:\nAnswer option: A, B, C, or D (the option you believe is correct)\nCalculation process: Step-by-step process to derive the answer option based on the question\nPlease strictly follow the above format to answer the question. Here is the question you need to answer:\n{question}\nAnswer option:",
"single_choice_en":"Here is a multiple-choice question about mathematics. Please provide the correct answer option directly.\nHere is the question you need to answer:\n{question}\nAnswer option:",
dict(role='HUMAN',prompt='Q: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?'),
dict(role='BOT',prompt='A: We start with 15 trees. Later we have 21 trees. The difference must be the number of trees they planted. So, they must have planted 21 - 15 = 6 trees. The answer is 6.\n'),
dict(role='HUMAN',prompt='Q: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?'),
dict(role='BOT',prompt='A: There are 3 cars in the parking lot already. 2 more arrive. Now there are 3 + 2 = 5 cars. The answer is 5.\n'),
dict(role='HUMAN',prompt='Q: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?'),
dict(role='BOT',prompt="A: Leah had 32 chocolates and Leah's sister had 42. That means there were originally 32 + 42 = 74 chocolates. 35 have been eaten. So in total they still have 74 - 35 = 39 chocolates. The answer is 39.\n"),
dict(role='HUMAN',prompt='Q: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?'),
dict(role='BOT',prompt='A: Jason had 20 lollipops. Since he only has 12 now, he must have given the rest to Denny. The number of lollipops he has given to Denny must have been 20 - 12 = 8 lollipops. The answer is 8.\n'),
dict(role='HUMAN',prompt='Q: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?'),
dict(role='BOT',prompt='A: He has 5 toys. He got 2 from mom, so after that he has 5 + 2 = 7 toys. Then he got 2 more from dad, so in total he has 7 + 2 = 9 toys. The answer is 9.\n'),
dict(role='HUMAN',prompt='Q: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?'),
dict(role='BOT',prompt='A: There are 4 days from monday to thursday. 5 computers were added each day. That means in total 4 * 5 = 20 computers were added. There were 9 computers in the beginning, so now there are 9 + 20 = 29 computers. The answer is 29.\n'),
dict(role='HUMAN',prompt='Q: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?'),
dict(role='BOT',prompt='A: Michael initially had 58 balls. He lost 23 on Tuesday, so after that he has 58 - 23 = 35 balls. On Wednesday he lost 2 more so now he has 35 - 2 = 33 balls. The answer is 33.\n'),
dict(role='HUMAN',prompt='Q: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?'),
dict(role='BOT',prompt='A: She bought 5 bagels for $3 each. This means she spent 5 * $3 = $15 on the bagels. She had $23 in beginning, so now she has $23 - $15 = $8. The answer is 8.\n'),
dict(role='HUMAN',prompt='Q: {question}'),
dict(role='BOT',prompt='A: {answer}\n'),
]}
mathbench_sets={
'college':['single_choice_cn','cloze_en'],
'high':['single_choice_cn','single_choice_en'],
'middle':['single_choice_cn'],
'primary':['cloze_cn']
}
# Generate reasoning path if set True or just generate the final answer
# # ################################### 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: 210'),
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?'),
Terrell usually lifts two 20-pound weights 12 times. If he uses two 15-pound weights instead, how many times must Terrell lift them in order to lift the same total weight?
Solution:
First, calculate the total weight Terrell lifts with the 20-pound weights:
$2 \times 12 \times 20 = 480$ pounds.
If he uses 15-pound weights and lifts them $n$ times:
$2 \times 15 \times n = 30n$ pounds.
To find $n$, set these two equal:
\begin{align*}
30n &= 480 \\
n &= \frac{480}{30} \\
n &= 16
\end{align*}
Final Answer: The final answer is $16$.
Problem:
If the system of equations
\begin{align*}
6x-4y &= a, \\
6y-9x &= b.
\end{align*}
has a solution $(x, y)$ where $x$ and $y$ are both nonzero, find $\frac{a}{b}$, assuming $b$ is nonzero.
Solution:
Multiply the first equation by $-\frac{3}{2}$ to obtain:
$6y-9x = -\frac{3}{2}a$.
Since we also know that $6y-9x = b$, equating them gives:
$-\frac{3}{2}a = b$ which implies $\frac{a}{b} = -\frac{2}{3}$.
Final Answer: The final answer is $-\frac{2}{3}$."""
dict(role='HUMAN',prompt='You are given several news passages. Write a one-page summary of all news. \n\nNews:\n{context}\n\nNow, write a one-page summary of all the news.\n\nSummary:'),
dict(role='HUMAN',prompt='You are given several news passages. Write a one-page summary of all news. \n\nNews:\n{context}\n\nNow, write a one-page summary of all the news.\n\nSummary:\n'),
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
Tool Input:```python
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.'),
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.'),
