ReFT_GSM8K_convert_prompt

gsm8k_convert_prompt.py

MATH_PROMPT = '''Question: Riku has 25 times more stickers than Kristoff. If Kristoff has 85 stickers, how many stickers does Riku have?
Answer:
If Kristoff has 85 stickers, Riku has 25 * 85 stickers = <<85*25=2125>>2125 more stickers.
The total number of stickers Riku has is 2125 stickers + 85 stickers = <<2125+85=2210>>2210 stickers.

# solution in Python:

def solution():
    """Riku has 25 times more stickers than Kristoff. If Kristoff has 85 stickers, how many stickers does Riku have?"""
    ratio = 25
    kristoff_stickers = 85
    riku_more_than_kristoff = kristoff_stickers * ratio
    riku_stickers = riku_more_than_kristoff + kristoff_stickers
    result = riku_stickers
    return result


Question: Eustace is twice as old as Milford. In 3 years, he will be 39. How old will Milford be?
Answer:
Eustace’s current age must be 39 years old – 3 years = <<39-3=36>>36 years old.
So Milford’s current age must be 36 years old / 2 = <<36/2=18>>18 years old.
So in 3 years, Milford will be 18 years old + 3 years = <<18+3=21>>21 years old.

# solution in Python:

def solution():
    """Eustace is twice as old as Milford. In 3 years, he will be 39. How old will Milford be?"""
    eustace_age_later = 39
    time_later = 3
    eustace_age_now = eustace_age_later - time_later
    milford_age_now = eustace_age_now / 2
    milford_age_later = milford_age_now + time_later
    result = milford_age_later
    return result


Question: Tim buys 3 dozen eggs.  Eggs cost $.50 each.  How much did he pay for eggs?
Answer:
He bought 3*12=<<3*12=36>>36 eggs
So they cost 36*.5=$<<36*.5=18>>18

# solution in Python:

def solution():
    """Tim buys 3 dozen eggs.  Eggs cost $.50 each.  How much did he pay for eggs?"""
    eggs_per_dozen = 12
    eggs_bought = 3 * eggs_per_dozen
    egg_cost = 0.5
    total_cost = eggs_bought * egg_cost
    result = total_cost
    return result
    
Question: In the engineering department, 70% of the students are men and 180 are women. How many men are there?
Answer:
The percentage for women is 100% - 70% = 30%.
Since 180 represents 30%, then 180/30 = 6 students represent 1%.
Hence, 6 x 70 = <<6*70=420>>420 students are men.

# solution in Python:

def solution():
    """In the engineering department, 70% of the students are men and 180 are women. How many men are there?"""
    women = 180
    percent_men = 70
    percent_women = 100 - percent_men
    men = women * percent_men / percent_women
    result = men
    return result

Question: Yuan is 7 years older than his brother David and twice his age. How old is David?
Answer:
Let x be David's age. Yuan is seven years older than David, 7 + x = Y years.
Yuan is also twice David's age, 2 * x = Y years.
Since these two equations equal the same thing, we can write: 7 + x = 2 * x.
Subtracting x from both sides we get 7 = x, so David is 7 years old.

# solution in Python:

def solution():
    """Yuan is 7 years older than his brother David and twice his age. How old is David?"""
    import sympy
    yuan_age = sympy.Symbol('yuan_age')
    david_age = sympy.Symbol('david_age')
    eq1 = sympy.Eq(yuan_age, david_age + 7)
    eq2 = sympy.Eq(yuan_age, 2 * david_age)
    sol = sympy.solve([eq1, eq2], [yuan_age, david_age])
    result = sol[david_age]
    return result


Question: Adlai has 2 dogs and 1 chicken. How many animal legs are there in all?
Answer:
Since dogs have 4 legs, then 2 dogs have a total of 2 x 4 = <<2*4=8>>8 legs.
So, there are 8 dog legs + 2 chicken legs = <<8+2=10>>10 legs in all.

# solution in Python:

def solution():
    """Adlai has 2 dogs and 1 chicken. How many animal legs are there in all?"""
    dogs = 2
    chicken = 1
    dog_legs = 4
    chicken_legs = 2
    total_legs = dogs * dog_legs + chicken * chicken_legs
    result = total_legs
    return result


'''

MATH_CONVERT_PYTHON_CDP_PROMPT = '''Question: Riku has 25 times more stickers than Kristoff. If Kristoff has 85 stickers, how many stickers does Riku have?
Answer:
If Kristoff has 85 stickers, Riku has 25 * 85 stickers = <<85*25=2125>>2125 more stickers.
The total number of stickers Riku has is 2125 stickers + 85 stickers = <<2125+85=2210>>2210 stickers.

# solution in Python:

def solution():
    """Riku has 25 times more stickers than Kristoff. If Kristoff has 85 stickers, how many stickers does Riku have?"""
    v1 = 85 # If Kristoff has 85 stickers
    v2 = 25 # Riku has 25 times more stickers than Kristoff 
    v3 = v2 * v1 # Step 1: Find the number of stickers Riku has more than Kristoff
    v4 = v1 + v3 # Step 2: Find the total number of stickers Riku has
    result = v4
    return result


Question: Eustace is twice as old as Milford. In 3 years, he will be 39. How old will Milford be?
Answer:
Eustace’s current age must be 39 years old – 3 years = <<39-3=36>>36 years old.
So Milford’s current age must be 36 years old / 2 = <<36/2=18>>18 years old.
So in 3 years, Milford will be 18 years old + 3 years = <<18+3=21>>21 years old.

# solution in Python:

def solution():
    """Eustace is twice as old as Milford. In 3 years, he will be 39. How old will Milford be?"""
    v1 = 2 # Eustace is twice as old as Milford
    v2 = 3 ; v3 = 39 # In 3 years, Eustace will be 39
    v4 = v3 - v2 # Step 1: Find Eustace's age now
    v5 = v4 / v1 # Step 2: Find Milford's age now
    v6 = v5 + v2 # Step 3: Find Milford's age in 3 years
    result = v6
    return result


Question: Tim buys 3 dozen eggs.  Eggs cost $.50 each.  How much did he pay for eggs?
Answer:
He bought 3*12=<<3*12=36>>36 eggs
So they cost 36*.5=$<<36*.5=18>>18

# solution in Python:

def solution():
    """Tim buys 3 dozen eggs.  Eggs cost $.50 each.  How much did he pay for eggs?"""
    v1 = 3 # Tim buys 3 dozen eggs
    v2 = 0.5 # Eggs cost $.50 each
    v3 = v1 * 12 # Step 1: Find the number of eggs bought
    v4 = v3 * v2 # Step 2: Find the total cost of the eggs
    result = v4
    return result


Question: In the engineering department, 70% of the students are men and 180 are women. How many men are there?
Answer:
The percentage for women is 100% - 70% = 30%.
Since 180 represents 30%, then 180/30 = 6 students represent 1%.
Hence, 6 x 70 = <<6*70=420>>420 students are men.

# solution in Python:

def solution():
    """In the engineering department, 70% of the students are men and 180 are women. How many men are there?"""
    v1 = 70 # 70% of the students are men
    v2 = 180 # 180 are women
    v3 = 100 - v1 # Step 1: Find the percentage of men
    v4 = v2 / (v3/100) # Step 2: Find the number of students represented by 1%
    v5 = v4 * (v1/100) # Step 3: Find the number of men
    result = v5
    return result


Question: Yuan is 7 years older than his brother David and twice his age. How old is David?
Answer:
Let x be David's age. Yuan is seven years older than David, 7 + x = Y years.
Yuan is also twice David's age, 2 * x = Y years.
Since these two equations equal the same thing, we can write: 7 + x = 2 * x.
Subtracting x from both sides we get 7 = x, so David is 7 years old.

# solution in Python:

def solution():
    """Yuan is 7 years older than his brother David and twice his age. How old is David?"""
    import sympy
    v1 = 7 # Yuan is 7 years older than his brother David
    v2 = 2 # and twice his age
    v3 = sympy.Symbol('v3') # Step 1: Let v3 be David's age
    v4 = sympy.Symbol('v4') # Step 2: let v4 be Yuan's age
    v5 = sympy.Eq(v4, v3 + v1) # Step 3: Write an equation based on Yuan is [v1] years older than David
    v6 = sympy.Eq(v4, v2 * v3) # Step 4: Write an equation based on Yuan is [v2] times David's age
    v7 = sympy.solve([v5, v6], [v3, v4]) # Step 5: Solve the equations
    result = v7[v3] # So the answer is
    return result


Question: Adlai has 2 dogs and 1 chicken. How many animal legs are there in all?
Answer:
Since dogs have 4 legs, then 2 dogs have a total of 2 x 4 = <<2*4=8>>8 legs.
So, there are 8 dog legs + 2 chicken legs = <<8+2=10>>10 legs in all.

# solution in Python:

def solution():
    """Adlai has 2 dogs and 1 chicken. How many animal legs are there in all?"""
    v1 = 2 # Adlai has 2 dogs
    v2 = 1 # Adlai has 1 chicken
    v3 = 4 # Dogs have 4 legs
    v4 = 2 # Chicken have 2 legs
    v5 = v1 * v3 # Step 1: Find the total number of dog legs
    v6 = v2 * v4 # Step 2: Find the total number of chicken legs
    v7 = v5 + v6 # Step 3: Find the total number of animal legs
    result = v7
    return result


'''