source_index int64 | chunk_id int64 | source_parquet_chunk string | response_idx int64 | prompt string | response string | response_num_tokens int64 | response_hit_max_tokens bool | messages list | data_source string | ground_truth string | gold_answer string | is_correct int64 | extracted_answer string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
If the total number of questions answered is greater than 2, how should the above question be answered? | The question is: "If the total number of questions answered is greater than 2, how should the above question be answered?"
This is a self-referential question. Let's break it down:
- The question is asking how to answer it **if** the total number of questions answered is **greater than 2**.
- But the question itself ... | 183 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIf the total number of questions answered is greater than 2, how should the above question be answered?",
"role": "user"
},
{
"content": "The question is: \"If the total number of quest... | 30k_dataset | Yes | Yes | 0 | theconditionisfalse,sothequestionisnotapplicable. |
1 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Is there a solution to the equation $2a^2 + 2b^2 + 2c^2 + 2d^2 = 3abcd$ with $a > 2020$? | We are given the equation:
$$
2a^2 + 2b^2 + 2c^2 + 2d^2 = 3abcd
$$
and asked whether there exists a solution with $ a > 2020 $.
---
### Step 1: Simplify the equation
Divide both sides by 2:
$$
a^2 + b^2 + c^2 + d^2 = \frac{3}{2} abcd
$$
We are to determine if there exist integers $ a, b, c, d $ such that this eq... | 2,284 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIs there a solution to the equation $2a^2 + 2b^2 + 2c^2 + 2d^2 = 3abcd$ with $a > 2020$?",
"role": "user"
},
{
"content": "We are given the equation:\n\n$$\n2a^2 + 2b^2 + 2c^2 + 2d^2 = ... | 30k_dataset | No | No | 1 | no |
2 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Identify the branch of mathematics that deals with the theory of generating series with specific patterns of odd and even numbers. | The branch of mathematics that deals with the theory of generating series with specific patterns of odd and even numbers is **combinatorics**.
However, if the question is specifically about **generating functions** that encode information about the parity (odd or even) of numbers, then the more precise answer is **gen... | 114 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nIdentify the branch of mathematics that deals with the theory of generating series with specific patterns of odd and even numbers.",
"role": "user"
},
{
"content": "The branch of mathem... | 30k_dataset | Number Theory | Number Theory | 0 | combinatorics |
3 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
$2003$ lines through the vertex of a triangle divide it into $2004$ triangles. Can all $6012$ angles of these triangles form an arithmetic progression? | We are given that **2003 lines** pass through the **vertex of a triangle**, dividing it into **2004 triangles**. The question is: **Can all 6012 angles of these triangles form an arithmetic progression?**
---
### Step 1: Understand the Geometry
Let’s consider a triangle $ \triangle ABC $, and suppose we draw **2003 ... | 1,110 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\n$2003$ lines through the vertex of a triangle divide it into $2004$ triangles. Can all $6012$ angles of these triangles form an arithmetic progression?",
"role": "user"
},
{
"content": ... | 30k_dataset | No | No | 0 | yes |
4 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Some numbers are written on each face of a cubic die which falls on each edge with probability $1/12.$ Is it possible that numbers on its two upper faces sum up to each of values $1,2,\ldots,6$ with probability $1/6?$ | We are given a **cubic die** (a cube), and each **face** of the cube is labeled with a number. The die is **placed on each edge** with equal probability $ \frac{1}{12} $, meaning that each of the **12 edges** is equally likely to be the one on which the die is placed.
We are told that **the numbers on the two upper fa... | 3,110 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nSome numbers are written on each face of a cubic die which falls on each edge with probability $1/12.$ Is it possible that numbers on its two upper faces sum up to each of values $1,2,\\ldots,6$ wi... | 30k_dataset | No | No | 1 | no |
5 | 0 | chunk_000000.parquet | 0 | What is the roundness of 2,430,000?
Please reason step by step, and put your final answer within \boxed{}. | To find the **roundness** of a number, we typically refer to how "round" or "smooth" the number is in terms of its factors, especially powers of 10. In number theory, the **roundness** of a number is often defined as the **maximum power of 10 that divides the number**.
So, we want to find the **highest power of 10** t... | 555 | false | [
{
"content": "What is the roundness of 2,430,000? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "To find the **roundness** of a number, we typically refer to how \"round\" or \"smooth\" the number is in terms of its factors, especially pow... | 30k_dataset | 3 | 3 | 0 | 4 |
6 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Find one-third of 9 times 7. | To solve the problem "Find one-third of 9 times 7," follow these steps:
1. Multiply 9 and 7:
$ 9 \times 7 = 63 $
2. Find one-third of 63:
$ \frac{1}{3} \times 63 = 21 $
### Final Answer:
$$
\boxed{21}
$$ | 86 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nFind one-third of 9 times 7.",
"role": "user"
},
{
"content": "To solve the problem \"Find one-third of 9 times 7,\" follow these steps:\n\n1. Multiply 9 and 7: \n $ 9 \\times 7 = 63... | 30k_dataset | 21 | 21 | 1 | 21 |
7 | 0 | chunk_000000.parquet | 0 | What is $100 \div 5 \div 2$?
Please reason step by step, and put your final answer within \boxed{}. | We are asked to evaluate the expression:
$$
100 \div 5 \div 2
$$
### Step 1: Understand the order of operations
Division is performed **left to right** when there are multiple divisions in a row.
So, we evaluate from **left to right**:
$$
100 \div 5 = 20
$$
Now substitute that result back into the expression:
$$
... | 116 | false | [
{
"content": "What is $100 \\div 5 \\div 2$? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are asked to evaluate the expression:\n\n$$\n100 \\div 5 \\div 2\n$$\n\n### Step 1: Understand the order of operations\nDivision is performed **... | 30k_dataset | 10 | 10 | 1 | 10 |
8 | 0 | chunk_000000.parquet | 0 | Olivia has $60. Her sister has $30. If they combine their money, how much do they have together?
Please reason step by step, and put your final answer within \boxed{}. | We are given:
- Olivia has $60.
- Her sister has $30.
We need to find the total amount of money they have **together**.
### Step 1: Add Olivia's money to her sister's money.
$$
60 + 30 = 90
$$
### Final Answer:
$$
\boxed{90}
$$
So, together, Olivia and her sister have **$90**. | 94 | false | [
{
"content": "Olivia has $60. Her sister has $30. If they combine their money, how much do they have together? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given:\n\n- Olivia has $60.\n- Her sister has $30.\n\nWe need to find the ... | 30k_dataset | 90 | 90 | 1 | 90 |
9 | 0 | chunk_000000.parquet | 0 | Evaluate $\lfloor \sqrt{100} \rfloor$.
Please reason step by step, and put your final answer within \boxed{}. | We are asked to evaluate:
$$
\lfloor \sqrt{100} \rfloor
$$
---
### Step 1: Evaluate the square root
$$
\sqrt{100} = 10
$$
---
### Step 2: Apply the floor function
The **floor function** $ \lfloor x \rfloor $ gives the greatest integer less than or equal to $ x $.
Since $ \sqrt{100} = 10 $, and 10 is already an ... | 153 | false | [
{
"content": "Evaluate $\\lfloor \\sqrt{100} \\rfloor$. \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are asked to evaluate:\n\n$$\n\\lfloor \\sqrt{100} \\rfloor\n$$\n\n---\n\n### Step 1: Evaluate the square root\n\n$$\n\\sqrt{100} = 1... | 30k_dataset | 10 | 10 | 1 | 10 |
10 | 0 | chunk_000000.parquet | 0 | Mia baked 18 cookies for her class. She ate 2 cookies while preparing them. How many cookies are left?
put the final answer inside \boxed{} | Mia baked 18 cookies.
She ate 2 cookies.
So, the number of cookies left is:
$$
18 - 2 = \boxed{16}
$$
**Answer:** $\boxed{16}$ cookies are left. | 52 | false | [
{
"content": "Mia baked 18 cookies for her class. She ate 2 cookies while preparing them. How many cookies are left?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "Mia baked 18 cookies.\n\nShe ate 2 cookies.\n\nSo, the number of cookies left is:\n\n$$\n18 - 2 = \\boxed{16}\... | 30k_dataset | 16 | 16 | 1 | 16 |
11 | 0 | chunk_000000.parquet | 0 | Maria decides to buy herself a new weight bench. It costs 40% more than her old $150 weight bench. How much does the new weight bench cost?
Please reason step by step, and put your final answer within \boxed{}. | We are given that Maria's **new weight bench** costs **40% more** than her **old weight bench**, which originally cost **$150**.
---
### Step 1: Find 40% of the original price
We need to calculate 40% of $150:
$$
40\% \text{ of } 150 = 0.40 \times 150 = 60
$$
---
### Step 2: Add that to the original price
Now, add... | 173 | false | [
{
"content": "Maria decides to buy herself a new weight bench. It costs 40% more than her old $150 weight bench. How much does the new weight bench cost? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given that Maria's **new weight... | 30k_dataset | 210 | 210 | 1 | 210 |
12 | 0 | chunk_000000.parquet | 0 | If $4(-5) = \Delta - 3$, then what does $\Delta$ equal?
put the final answer inside \boxed{} | We are given the equation:
$$
4(-5) = \Delta - 3
$$
### Step 1: Simplify the left side
$$
4(-5) = -20
$$
So the equation becomes:
$$
-20 = \Delta - 3
$$
### Step 2: Solve for $\Delta$
Add 3 to both sides:
$$
-20 + 3 = \Delta
$$
$$
-17 = \Delta
$$
### Final Answer:
$$
\boxed{-17}
$$ | 119 | false | [
{
"content": "If $4(-5) = \\Delta - 3$, then what does $\\Delta$ equal?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given the equation:\n\n$$\n4(-5) = \\Delta - 3\n$$\n\n### Step 1: Simplify the left side\n$$\n4(-5) = -20\n$$\n\nSo the equation becomes:\n\n$$\n-20... | 30k_dataset | -17 | -17 | 1 | -17 |
13 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Express $1.\overline{04}$ as a reduced fraction, given that $0.\overline{02}$ is $\frac{2}{99}$. | We are given that:
$$
0.\overline{02} = \frac{2}{99}
$$
We are asked to find:
$$
1.\overline{04}
$$
---
### Step 1: Understand the repeating decimal
The decimal $1.\overline{04}$ means:
$$
1.\overline{04} = 1.04040404\ldots
$$
This is a repeating decimal with a repeating block of **"04"**.
---
### Step 2: Use... | 521 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nExpress $1.\\overline{04}$ as a reduced fraction, given that $0.\\overline{02}$ is $\\frac{2}{99}$.",
"role": "user"
},
{
"content": "We are given that:\n\n$$\n0.\\overline{02} = \\frac... | 30k_dataset | \frac{103 | \frac{103 | 0 | 103/99 |
14 | 0 | chunk_000000.parquet | 0 | Simplify the expression $3b(3b^2 - 2b) + 2b^2$.
Please reason step by step, and put your final answer within \boxed{}. | We are given the expression:
$$
3b(3b^2 - 2b) + 2b^2
$$
### Step 1: Distribute the $3b$ across the parentheses
$$
3b(3b^2 - 2b) = 3b \cdot 3b^2 - 3b \cdot 2b
$$
$$
= 9b^3 - 6b^2
$$
Now the expression becomes:
$$
9b^3 - 6b^2 + 2b^2
$$
### Step 2: Combine like terms
The terms $-6b^2$ and $+2b^2$ are like terms:
... | 220 | false | [
{
"content": "Simplify the expression $3b(3b^2 - 2b) + 2b^2$. \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given the expression:\n\n$$\n3b(3b^2 - 2b) + 2b^2\n$$\n\n### Step 1: Distribute the $3b$ across the parentheses\n\n$$\n3b(3... | 30k_dataset | 9b^3 - 4b^2 | 9b^3 - 4b^2 | 1 | 9*b**3 - 1*4*b**2 |
15 | 0 | chunk_000000.parquet | 0 | If \( h(x) = x^3 \) and \( k(x) = 3x + 2 \), what is the value of \( k(h(-1)) \)?
Please reason step by step, and put your final answer within \boxed{}. | We are given two functions:
- $ h(x) = x^3 $
- $ k(x) = 3x + 2 $
We are asked to find the value of $ k(h(-1)) $.
---
### Step 1: Evaluate $ h(-1) $
Recall that $ h(x) = x^3 $, so:
$$
h(-1) = (-1)^3 = -1
$$
---
### Step 2: Use the result in $ k(x) $
Now that we know $ h(-1) = -1 $, we substitute this into $ k(x... | 201 | false | [
{
"content": "If \\( h(x) = x^3 \\) and \\( k(x) = 3x + 2 \\), what is the value of \\( k(h(-1)) \\)? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given two functions:\n\n- $ h(x) = x^3 $\n- $ k(x) = 3x + 2 $\n\nWe are asked to fi... | 30k_dataset | -1 | -1 | 1 | -1 |
16 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Simplify $\frac{1}{1+\sqrt{3}}\cdot\frac{1}{1-\sqrt{3}}$. | We are asked to simplify:
$$
\frac{1}{1+\sqrt{3}} \cdot \frac{1}{1-\sqrt{3}}
$$
First, multiply the two fractions:
$$
\frac{1}{(1+\sqrt{3})(1-\sqrt{3})}
$$
Now simplify the denominator using the **difference of squares** formula:
$$
(1+\sqrt{3})(1-\sqrt{3}) = 1^2 - (\sqrt{3})^2 = 1 - 3 = -2
$$
So the expression b... | 159 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nSimplify $\\frac{1}{1+\\sqrt{3}}\\cdot\\frac{1}{1-\\sqrt{3}}$.",
"role": "user"
},
{
"content": "We are asked to simplify:\n\n$$\n\\frac{1}{1+\\sqrt{3}} \\cdot \\frac{1}{1-\\sqrt{3}}\n$... | 30k_dataset | -\frac{1 | -\frac{1 | 0 | -1/2 |
17 | 0 | chunk_000000.parquet | 0 | What is $(7^3)^0 + (7^0)^{-3}$?
Can you help me solve this problem and put the final answer inside \boxed{}? | We are asked to evaluate the expression:
$$
(7^3)^0 + (7^0)^{-3}
$$
---
### Step 1: Simplify each term
#### First term: $(7^3)^0$
Recall the rule of exponents:
$$
(a^m)^n = a^{m \cdot n}
$$
So:
$$
(7^3)^0 = 7^{3 \cdot 0} = 7^0 = 1
$$
#### Second term: $(7^0)^{-3}$
First, simplify the base:
$$
7^0 = 1
$$
No... | 225 | false | [
{
"content": "What is $(7^3)^0 + (7^0)^{-3}$?\nCan you help me solve this problem and put the final answer inside \\boxed{}?",
"role": "user"
},
{
"content": "We are asked to evaluate the expression:\n\n$$\n(7^3)^0 + (7^0)^{-3}\n$$\n\n---\n\n### Step 1: Simplify each term\n\n#### First term: $(7^3)^... | 30k_dataset | 2 | 2 | 1 | 2 |
18 | 0 | chunk_000000.parquet | 0 | If \(g(x) = 5\) for all real numbers \(x\), what is the value of \(g(3x - 4)\)?
Please reason step by step, and put your final answer within \boxed{}. | We are given the function:
$$
g(x) = 5 \quad \text{for all real numbers } x
$$
This means that **no matter what value of $ x $ we plug in**, the function $ g(x) $ always returns the value **5**.
---
### Step 1: Understand the function
The function $ g(x) = 5 $ is a **constant function**. It does **not** depend on ... | 214 | false | [
{
"content": "If \\(g(x) = 5\\) for all real numbers \\(x\\), what is the value of \\(g(3x - 4)\\)? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given the function:\n\n$$\ng(x) = 5 \\quad \\text{for all real numbers } x\n$$\n\nThi... | 30k_dataset | 5 | 5 | 1 | 5 |
19 | 0 | chunk_000000.parquet | 0 | During a sale, Lisa bought a jacket at 30% of its original price. If the original price of the jacket was $250, calculate how much she paid for the jacket.
Please reason step by step, and put your final answer within \boxed{}. | We are given:
- The **original price** of the jacket is **$250**.
- Lisa bought the jacket at **30% of its original price**.
---
### Step 1: Find 30% of the original price
We calculate 30% of $250:
$$
30\% \text{ of } 250 = 0.30 \times 250 = 75
$$
---
### Step 2: Determine how much Lisa paid
Since Lisa paid **3... | 152 | false | [
{
"content": "During a sale, Lisa bought a jacket at 30% of its original price. If the original price of the jacket was $250, calculate how much she paid for the jacket. \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given:\n\n- The... | 30k_dataset | 75 | 75 | 1 | 75 |
20 | 0 | chunk_000000.parquet | 0 | Find $x$ if $\log_{x}27=-\frac{3}{2}$.
put the final answer inside \boxed{} | We are given the equation:
$$
\log_{x} 27 = -\frac{3}{2}
$$
We need to find the value of $ x $.
---
### Step 1: Use the definition of logarithms
Recall that:
$$
\log_b a = c \iff b^c = a
$$
So, applying this to the given equation:
$$
\log_{x} 27 = -\frac{3}{2} \Rightarrow x^{-\frac{3}{2}} = 27
$$
---
### Step... | 396 | false | [
{
"content": "Find $x$ if $\\log_{x}27=-\\frac{3}{2}$.\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given the equation:\n\n$$\n\\log_{x} 27 = -\\frac{3}{2}\n$$\n\nWe need to find the value of $ x $.\n\n---\n\n### Step 1: Use the definition of logarithms\n\nRecall t... | 30k_dataset | \frac{1 | \frac{1 | 0 | 1/9 |
21 | 0 | chunk_000000.parquet | 0 | Sophia caught 150 butterflies and released 50% of them. How many butterflies did she keep?
put the final answer inside \boxed{} | Sophia caught **150 butterflies** and released **50%** of them.
To find out how many she **released**, calculate 50% of 150:
$$
50\% \text{ of } 150 = 0.5 \times 150 = 75
$$
So, she released **75 butterflies**.
To find out how many she **kept**, subtract the number released from the total:
$$
150 - 75 = 75
$$
###... | 125 | false | [
{
"content": "Sophia caught 150 butterflies and released 50% of them. How many butterflies did she keep?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "Sophia caught **150 butterflies** and released **50%** of them.\n\nTo find out how many she **released**, calculate 50% of... | 30k_dataset | 75 | 75 | 1 | 75 |
22 | 0 | chunk_000000.parquet | 0 | How many degrees are in each exterior angle of a regular octagon?
put the final answer inside \boxed{} | To find the measure of each **exterior angle** of a **regular octagon**, we can use the following fact:
### Step 1: Understand the properties of a regular polygon
- A **regular polygon** has all sides equal and all interior angles equal.
- The **sum of the exterior angles** of any polygon is always **360°**.
- For a *... | 193 | false | [
{
"content": "How many degrees are in each exterior angle of a regular octagon?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "To find the measure of each **exterior angle** of a **regular octagon**, we can use the following fact:\n\n### Step 1: Understand the properties of... | 30k_dataset | 45 | 45 | 1 | 45 |
23 | 0 | chunk_000000.parquet | 0 | Solve for $s$ in the equation $13 - 5 = 4 + s$.
put the final answer inside \boxed{} | We are given the equation:
$$
13 - 5 = 4 + s
$$
### Step 1: Simplify the left side
$$
13 - 5 = 8
$$
So the equation becomes:
$$
8 = 4 + s
$$
### Step 2: Solve for $ s $
Subtract 4 from both sides:
$$
8 - 4 = s
$$
$$
s = 4
$$
### Final Answer:
$$
\boxed{4}
$$ | 111 | false | [
{
"content": "Solve for $s$ in the equation $13 - 5 = 4 + s$.\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given the equation:\n\n$$\n13 - 5 = 4 + s\n$$\n\n### Step 1: Simplify the left side\n$$\n13 - 5 = 8\n$$\n\nSo the equation becomes:\n\n$$\n8 = 4 + s\n$$\n\n##... | 30k_dataset | 4 | 4 | 1 | 4 |
24 | 0 | chunk_000000.parquet | 0 | Lea is 5 years younger than three times the age of her younger brother, Max. If Max is 8 years old, how old is Lea?
Please reason step by step, and put your final answer within \boxed{}. | We are given the following information:
- Lea is **5 years younger than three times** the age of her younger brother, Max.
- Max is **8 years old**.
---
### Step 1: Define the relationship
Let’s write the relationship in mathematical terms.
Let:
- $ L $ = Lea's age
- $ M $ = Max's age
We are told:
$$
L = 3M - 5
$... | 196 | false | [
{
"content": "Lea is 5 years younger than three times the age of her younger brother, Max. If Max is 8 years old, how old is Lea? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given the following information:\n\n- Lea is **5 years ... | 30k_dataset | 19 | 19 | 1 | 19 |
25 | 0 | chunk_000000.parquet | 0 | Below is a math question. I want you to reason through the steps and then give a final answer. Your final answer should be in \boxed\{\}.
Question: If $\mathbf{v} \times \mathbf{w} = \begin{pmatrix} 3 \\ 1 \\ -2 \end{pmatrix},$ then find $(2\mathbf{v} - \mathbf{w}) \times (2\mathbf{v} - \mathbf{w}).$
Please reason ste... | We are given:
$$
\mathbf{v} \times \mathbf{w} = \begin{pmatrix} 3 \\ 1 \\ -2 \end{pmatrix}
$$
We are asked to find:
$$
(2\mathbf{v} - \mathbf{w}) \times (2\mathbf{v} - \mathbf{w})
$$
---
### Step 1: Use the vector identity for the cross product of a vector with itself
Recall the identity:
$$
\mathbf{a} \times \m... | 232 | false | [
{
"content": "Below is a math question. I want you to reason through the steps and then give a final answer. Your final answer should be in \\boxed\\{\\}.\nQuestion: If $\\mathbf{v} \\times \\mathbf{w} = \\begin{pmatrix} 3 \\\\ 1 \\\\ -2 \\end{pmatrix},$ then find $(2\\mathbf{v} - \\mathbf{w}) \\times (2\\mathb... | 30k_dataset | \begin{pmatrix | \begin{pmatrix | 0 | Matrix([[0], [0], [0]]) |
26 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
Ben has $150 in his wallet. He spends three-fourths of that amount. How much money does he have left? | Ben starts with $150.
He spends three-fourths of that amount:
$$
\frac{3}{4} \times 150 = 112.5
$$
So, he spends $112.50.
Now, subtract that from his original amount:
$$
150 - 112.5 = 37.5
$$
Ben has $\boxed{37.5}$ dollars left. | 97 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nBen has $150 in his wallet. He spends three-fourths of that amount. How much money does he have left?",
"role": "user"
},
{
"content": "Ben starts with $150.\n\nHe spends three-fourths of that amount:\n\n$$\n\\frac... | 30k_dataset | 37.5 | 37.5 | 1 | 37.5000000000000 |
27 | 0 | chunk_000000.parquet | 0 | Find $1539 + 150 \div 50 - 273$.
Can you help me solve this problem and put the final answer inside \boxed{}? | We are given the expression:
$$
1539 + 150 \div 50 - 273
$$
### Step 1: Follow the order of operations (PEMDAS/BODMAS)
- **Division** comes before **addition** and **subtraction**.
So, first compute:
$$
150 \div 50 = 3
$$
Now substitute back into the expression:
$$
1539 + 3 - 273
$$
### Step 2: Perform the addit... | 177 | false | [
{
"content": "Find $1539 + 150 \\div 50 - 273$.\nCan you help me solve this problem and put the final answer inside \\boxed{}?",
"role": "user"
},
{
"content": "We are given the expression:\n\n$$\n1539 + 150 \\div 50 - 273\n$$\n\n### Step 1: Follow the order of operations (PEMDAS/BODMAS)\n- **Divisi... | 30k_dataset | 1269 | 1269 | 1 | 1269 |
28 | 0 | chunk_000000.parquet | 0 | John was 14 years old 5 years ago. How old will he be 8 years from now?
Please reason step by step, and put your final answer within \boxed{}. | Let's solve the problem step by step.
---
### Step 1: Determine John's current age
We are told:
> John was **14 years old 5 years ago**.
So, to find his **current age**, we add 5 years to 14:
$$
14 + 5 = 19
$$
So, **John is currently 19 years old**.
---
### Step 2: Find out how old he will be 8 years from now
... | 163 | false | [
{
"content": "John was 14 years old 5 years ago. How old will he be 8 years from now? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "Let's solve the problem step by step.\n\n---\n\n### Step 1: Determine John's current age\n\nWe are told:\n... | 30k_dataset | 27 | 27 | 1 | 27 |
29 | 0 | chunk_000000.parquet | 0 | There are 18 birds in the aviary. During the day, the zookeeper introduces 5 more birds into the aviary. Then, 3 birds fly away. How many birds are left in the aviary?
Please reason step by step, and put your final answer within \boxed{}. | Let's solve the problem step by step:
1. **Initial number of birds in the aviary:**
There are **18 birds** initially.
2. **Zookeeper introduces 5 more birds:**
$ 18 + 5 = 23 $ birds in the aviary now.
3. **3 birds fly away:**
$ 23 - 3 = 20 $ birds remain.
### Final Answer:
$$
\boxed{20}
$$ | 103 | false | [
{
"content": "There are 18 birds in the aviary. During the day, the zookeeper introduces 5 more birds into the aviary. Then, 3 birds fly away. How many birds are left in the aviary? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "Let's solv... | 30k_dataset | 20 | 20 | 1 | 20 |
30 | 0 | chunk_000000.parquet | 0 | Emma has 28 stickers. She gave 12 stickers to her friend Olivia. How many stickers does Emma have now?
put the final answer inside \boxed{} | Emma started with 28 stickers. She gave away 12 stickers.
To find out how many stickers she has now, subtract:
$$
28 - 12 = 16
$$
So, Emma now has $\boxed{16}$ stickers. | 56 | false | [
{
"content": "Emma has 28 stickers. She gave 12 stickers to her friend Olivia. How many stickers does Emma have now?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "Emma started with 28 stickers. She gave away 12 stickers.\n\nTo find out how many stickers she has now, subtra... | 30k_dataset | 16 | 16 | 1 | 16 |
31 | 0 | chunk_000000.parquet | 0 | Liam goes to two different stores and buys $400 worth of electronics. If he pays entirely with $20 bills, how many $20 bills does he use?
put the final answer inside \boxed{} | We are told that Liam buys $400 worth of electronics and pays **entirely with $20 bills**.
To find out how many $20 bills he uses, divide the total amount by the value of each bill:
$$
\frac{400}{20} = 20
$$
So, Liam uses **20** $20 bills.
$$
\boxed{20}
$$ | 90 | false | [
{
"content": "Liam goes to two different stores and buys $400 worth of electronics. If he pays entirely with $20 bills, how many $20 bills does he use?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are told that Liam buys $400 worth of electronics and pays **entirely wi... | 30k_dataset | 20 | 20 | 1 | 20 |
32 | 0 | chunk_000000.parquet | 0 | If $\|\mathbf{w}\| = 7,$ find $\|\mathbf{w}\|^2.$
put the final answer inside \boxed{} | We are given that:
$$
\|\mathbf{w}\| = 7
$$
We are asked to find:
$$
\|\mathbf{w}\|^2
$$
Recall that the square of the norm of a vector is simply the square of its magnitude:
$$
\|\mathbf{w}\|^2 = (\|\mathbf{w}\|)^2 = 7^2 = 49
$$
### Final Answer:
$$
\boxed{49}
$$ | 107 | false | [
{
"content": "If $\\|\\mathbf{w}\\| = 7,$ find $\\|\\mathbf{w}\\|^2.$\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given that:\n\n$$\n\\|\\mathbf{w}\\| = 7\n$$\n\nWe are asked to find:\n\n$$\n\\|\\mathbf{w}\\|^2\n$$\n\nRecall that the square of the norm of a vector... | 30k_dataset | 49 | 49 | 1 | 49 |
33 | 0 | chunk_000000.parquet | 0 | Don has a container with $\frac{3}{10}$ of a liter of water in it. His friend Sam drinks $\frac{1}{4}$ of the water he has. How many liters of water did Sam drink?
put the final answer inside \boxed{} | We are given:
- Don has $\frac{3}{10}$ liters of water.
- Sam drinks $\frac{1}{4}$ of that amount.
To find how many liters Sam drank, we calculate:
$$
\text{Amount Sam drank} = \frac{1}{4} \times \frac{3}{10}
$$
Multiply the fractions:
$$
\frac{1}{4} \times \frac{3}{10} = \frac{1 \times 3}{4 \times 10} = \frac{3}{... | 146 | false | [
{
"content": "Don has a container with $\\frac{3}{10}$ of a liter of water in it. His friend Sam drinks $\\frac{1}{4}$ of the water he has. How many liters of water did Sam drink?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given:\n\n- Don has $\\frac{3}{10}$ lite... | 30k_dataset | \frac{3 | \frac{3 | 0 | 3/40 |
34 | 0 | chunk_000000.parquet | 0 | Sarah has three fewer cats than three times as many cats as her brother Mark has. If Mark has 4 cats, how many cats does Sarah have?
Please reason step by step, and put your final answer within \boxed{}. | We are given the following information:
- Sarah has **three fewer cats** than **three times** as many cats as her brother Mark has.
- Mark has **4 cats**.
---
### Step 1: Let's define the number of cats Mark has.
Mark has:
$$
4 \text{ cats}
$$
---
### Step 2: Find three times the number of Mark's cats.
$$
3 \tim... | 152 | false | [
{
"content": "Sarah has three fewer cats than three times as many cats as her brother Mark has. If Mark has 4 cats, how many cats does Sarah have? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given the following information:\n\n- ... | 30k_dataset | 9 | 9 | 1 | 9 |
35 | 0 | chunk_000000.parquet | 0 | Last year, a school fundraiser had 150 participants. This year, the number of participants is expected to be 30 more than twice the number of participants last year. How many participants will there be this year?
Please reason step by step, and put your final answer within \boxed{}. | We are given the following information:
- Last year, there were **150 participants**.
- This year, the number of participants is expected to be **30 more than twice** the number from last year.
---
### Step 1: Define the expression
Let’s write an expression for the number of participants this year.
- Twice the num... | 149 | false | [
{
"content": "Last year, a school fundraiser had 150 participants. This year, the number of participants is expected to be 30 more than twice the number of participants last year. How many participants will there be this year? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role... | 30k_dataset | 330 | 330 | 1 | 330 |
36 | 0 | chunk_000000.parquet | 0 | Isabella has 5 more sisters than brothers. If Jackson has 8 brothers, how many sisters does Isabella have?
Please reason step by step, and put your final answer within \boxed{}. | We are given:
- Isabella has **5 more sisters than brothers**.
- Jackson has **8 brothers**.
- We are to find **how many sisters Isabella has**.
---
### Step 1: Understand the relationships
Let’s define some variables:
- Let $ b $ be the number of **brothers** Isabella has.
- Then, the number of **sisters** Isabel... | 298 | false | [
{
"content": "Isabella has 5 more sisters than brothers. If Jackson has 8 brothers, how many sisters does Isabella have? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given:\n\n- Isabella has **5 more sisters than brothers**.\n- Ja... | 30k_dataset | 13 | 13 | 0 | 12 |
37 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Samantha wants to leave a 15% tip on a $120 restaurant bill. If her friend pays the tip, how much should Samantha contribute? | Samantha wants to leave a 15% tip on a $120 bill. If her friend pays the tip, Samantha should contribute **half** of the tip amount.
First, calculate the tip:
$$
15\% \text{ of } 120 = 0.15 \times 120 = 18
$$
Since her friend pays the tip, Samantha should contribute:
$$
\frac{18}{2} = 9
$$
**Answer:** $\boxed{9}$ | 113 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nSamantha wants to leave a 15% tip on a $120 restaurant bill. If her friend pays the tip, how much should Samantha contribute?",
"role": "user"
},
{
"content": "Samantha wants to leave a... | 30k_dataset | 18 | 18 | 0 | 9 |
38 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Compute $47^{1652} - 23^{1652}$ modulo 8. | We are asked to compute:
$$
47^{1652} - 23^{1652} \mod 8
$$
---
### Step 1: Reduce the bases modulo 8
We first reduce the bases modulo 8:
- $ 47 \mod 8 = 47 - 5 \cdot 8 = 47 - 40 = 7 $
- $ 23 \mod 8 = 23 - 2 \cdot 8 = 23 - 16 = 7 $
So:
$$
47^{1652} \equiv 7^{1652} \mod 8
$$
$$
23^{1652} \equiv 7^{1652} \mod 8
$$... | 240 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nCompute $47^{1652} - 23^{1652}$ modulo 8.",
"role": "user"
},
{
"content": "We are asked to compute:\n\n$$\n47^{1652} - 23^{1652} \\mod 8\n$$\n\n---\n\n### Step 1: Reduce the bases modu... | 30k_dataset | 0 | 0 | 1 | 0 |
39 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
Sarah has a jug containing $\frac{1}{4}$ of a liter of juice. Her friend Tom drinks $\frac{1}{5}$ of the juice she has. How many liters of juice did Tom drink? | We are given:
- Sarah has $\frac{1}{4}$ of a liter of juice.
- Tom drinks $\frac{1}{5}$ of the juice Sarah has.
We need to find how many liters Tom drinks.
---
**Step 1:** Find $\frac{1}{5}$ of $\frac{1}{4}$:
$$
\frac{1}{5} \times \frac{1}{4} = \frac{1}{20}
$$
---
**Final Answer:**
$$
\boxed{\frac{1}{20}}
$$ | 117 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nSarah has a jug containing $\\frac{1}{4}$ of a liter of juice. Her friend Tom drinks $\\frac{1}{5}$ of the juice she has. How many liters of juice did Tom drink?",
"role": "user"
},
{
"content": "We are given:\n\n-... | 30k_dataset | \frac{1 | \frac{1 | 0 | 1/20 |
40 | 0 | chunk_000000.parquet | 0 | During a recent basketball game, Emma's team scored a total of 60 points. Emma scored twice as many points as the next highest scorer on her team, who scored 8 points. How many points did Emma score?
put the final answer inside \boxed{} | We are given:
- The **total points** scored by Emma's team: **60**
- The **next highest scorer** on the team scored: **8 points**
- **Emma scored twice as many points as the next highest scorer**
---
### Step 1: Find how many points Emma scored
Emma scored **twice** as many as the next highest scorer:
$$
\text{Emm... | 207 | false | [
{
"content": "During a recent basketball game, Emma's team scored a total of 60 points. Emma scored twice as many points as the next highest scorer on her team, who scored 8 points. How many points did Emma score?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given:... | 30k_dataset | 16 | 16 | 1 | 16 |
41 | 0 | chunk_000000.parquet | 0 | If Alex uses 800 ml of strawberries puree and 200 ml of yogurt, how many 200 ml servings can he make?
Please reason step by step, and put your final answer within \boxed{}. | We are given:
- **Strawberries puree**: 800 ml
- **Yogurt**: 200 ml
- **Each serving**: 200 ml
We are to find how many **200 ml servings** Alex can make.
---
### Step 1: Find the total volume of the mixture
$$
\text{Total volume} = \text{Strawberries puree} + \text{Yogurt} = 800\, \text{ml} + 200\, \text{ml} =... | 237 | false | [
{
"content": "If Alex uses 800 ml of strawberries puree and 200 ml of yogurt, how many 200 ml servings can he make? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given:\n\n- **Strawberries puree**: 800 ml \n- **Yogurt**: 200 ml \... | 30k_dataset | 5 | 5 | 1 | 5 |
42 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
Olivia owns 20 teddy bears. She gives away 15 teddy bears to charity. How many teddy bears does Olivia have left? | Olivia starts with 20 teddy bears and gives away 15.
$$
20 - 15 = 5
$$
So, Olivia has $\boxed{5}$ teddy bears left. | 45 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nOlivia owns 20 teddy bears. She gives away 15 teddy bears to charity. How many teddy bears does Olivia have left?",
"role": "user"
},
{
"content": "Olivia starts with 20 teddy bears and gives away 15.\n\n$$\n20 - 1... | 30k_dataset | 5 | 5 | 1 | 5 |
43 | 0 | chunk_000000.parquet | 0 | James buys a pair of shoes that costs $45. However, the store is offering a discount of $9 on the shoes. What is the final price James pays for the shoes?
put the final answer inside \boxed{} | James buys shoes that originally cost **$45**, but there is a **$9 discount**.
To find the final price he pays, subtract the discount from the original price:
$$
45 - 9 = 36
$$
So, the final price James pays is $\boxed{36}$. | 66 | false | [
{
"content": "James buys a pair of shoes that costs $45. However, the store is offering a discount of $9 on the shoes. What is the final price James pays for the shoes?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "James buys shoes that originally cost **$45**, but there i... | 30k_dataset | 36 | 36 | 1 | 36 |
44 | 0 | chunk_000000.parquet | 0 | Uncle Alex has 120 cookies in a box. He wants to divide them equally among his 4 nieces and 2 nephews. How many cookies did each niece or nephew receive?
Please reason step by step, and put your final answer within \boxed{}. | We are given:
- Uncle Alex has **120 cookies**.
- He wants to divide them **equally** among his **4 nieces and 2 nephews**.
### Step 1: Find the total number of children
Uncle Alex has:
- 4 **nieces**
- 2 **nephews**
So, the total number of children is:
$$
4 + 2 = 6
$$
### Step 2: Divide the cookies equally among t... | 155 | false | [
{
"content": "Uncle Alex has 120 cookies in a box. He wants to divide them equally among his 4 nieces and 2 nephews. How many cookies did each niece or nephew receive? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given:\n\n- Uncle... | 30k_dataset | 20 | 20 | 1 | 20 |
45 | 0 | chunk_000000.parquet | 0 | Isabella has 45 stickers. She gave 12 stickers to her friend Anna and 15 stickers to her friend Ben. How many stickers does Isabella have left?
Please reason step by step, and put your final answer within \boxed{}. | We are given that Isabella starts with **45 stickers**.
She gives away:
- 12 stickers to Anna
- 15 stickers to Ben
So, the total number of stickers she gives away is:
$$
12 + 15 = 27
$$
Now, subtract the number of stickers she gave away from the original number:
$$
45 - 27 = 18
$$
### Final Answer:
$$
\boxed{18}
... | 115 | false | [
{
"content": "Isabella has 45 stickers. She gave 12 stickers to her friend Anna and 15 stickers to her friend Ben. How many stickers does Isabella have left? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given that Isabella starts ... | 30k_dataset | 18 | 18 | 1 | 18 |
46 | 0 | chunk_000000.parquet | 0 | Calculate $[2.8] + [-3.7]$.
Please reason step by step, and put your final answer within \boxed{}. | We are asked to calculate:
$$
[2.8] + [-3.7]
$$
This notation uses **floor function** brackets, which means:
- $[x]$ is the **floor** of $x$, i.e., the greatest integer less than or equal to $x$.
---
### Step 1: Evaluate $[2.8]$
The floor of 2.8 is the greatest integer less than or equal to 2.8.
$$
[2.8] = 2
$$
... | 241 | false | [
{
"content": "Calculate $[2.8] + [-3.7]$. \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are asked to calculate:\n\n$$\n[2.8] + [-3.7]\n$$\n\nThis notation uses **floor function** brackets, which means:\n\n- $[x]$ is the **floor** of $x... | 30k_dataset | -2 | -2 | 1 | -2 |
47 | 0 | chunk_000000.parquet | 0 | Mrs. Henderson's class has 30 students, and Ms. Smith's class has 8 fewer than two-thirds the number in Mrs. Henderson's class. How many students are in Ms. Smith's class?
put the final answer inside \boxed{} | We are given:
- Mrs. Henderson's class has **30 students**.
- Ms. Smith's class has **8 fewer than two-thirds** the number in Mrs. Henderson's class.
Let's break this down step by step.
### Step 1: Find two-thirds of 30
$$
\frac{2}{3} \times 30 = 20
$$
### Step 2: Subtract 8 from that result
$$
20 - 8 = 12
$$
### ... | 138 | false | [
{
"content": "Mrs. Henderson's class has 30 students, and Ms. Smith's class has 8 fewer than two-thirds the number in Mrs. Henderson's class. How many students are in Ms. Smith's class?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given:\n\n- Mrs. Henderson's class... | 30k_dataset | 12 | 12 | 1 | 12 |
48 | 0 | chunk_000000.parquet | 0 | Emma swims laps at the pool 4 times per minute. If she swam for 15 minutes, how many laps did she swim in total?
Please reason step by step, and put your final answer within \boxed{}. | We are given:
- Emma swims **4 laps per minute**.
- She swims for **15 minutes**.
To find the total number of laps she swims, we multiply the number of laps per minute by the number of minutes:
$$
\text{Total laps} = \text{Laps per minute} \times \text{Minutes}
$$
$$
\text{Total laps} = 4 \times 15 = 60
$$
### Fin... | 110 | false | [
{
"content": "Emma swims laps at the pool 4 times per minute. If she swam for 15 minutes, how many laps did she swim in total? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given:\n\n- Emma swims **4 laps per minute**.\n- She swims... | 30k_dataset | 60 | 60 | 1 | 60 |
49 | 0 | chunk_000000.parquet | 0 | What is the value of the expression $\frac{x^2-2x-15}{x-5}$ for $x=5$? Express your answer in simplest form.
Please reason step by step, and put your final answer within \boxed{}. | We are given the expression:
$$
\frac{x^2 - 2x - 15}{x - 5}
$$
and asked to evaluate it at $ x = 5 $.
---
### Step 1: Plug in $ x = 5 $
Substitute $ x = 5 $ into the expression:
$$
\frac{5^2 - 2(5) - 15}{5 - 5}
$$
Simplify the numerator and denominator:
- Numerator: $ 25 - 10 - 15 = 0 $
- Denominator: $ 5 - 5 =... | 492 | false | [
{
"content": "What is the value of the expression $\\frac{x^2-2x-15}{x-5}$ for $x=5$? Express your answer in simplest form. \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given the expression:\n\n$$\n\\frac{x^2 - 2x - 15}{x - 5}\n$$... | 30k_dataset | 8 | 8 | 1 | 8 |
50 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
Ella has $60 and her sister has one-third as much. How much do they have together? | Ella has $60.
Her sister has one-third as much as Ella, so:
$$
\frac{1}{3} \times 60 = 20
$$
Together, they have:
$$
60 + 20 = \boxed{80}
$$ | 62 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nElla has $60 and her sister has one-third as much. How much do they have together?",
"role": "user"
},
{
"content": "Ella has $60. \nHer sister has one-third as much as Ella, so:\n\n$$\n\\frac{1}{3} \\times 60 = 2... | 30k_dataset | 80 | 80 | 1 | 80 |
51 | 0 | chunk_000000.parquet | 0 | Liam buys 8 kg of apples at the farmer's market. If 3 kg of apples costs $9, how much will he pay?
put the final answer inside \boxed{} | We are given:
- Liam buys **8 kg** of apples.
- **3 kg** of apples costs **$9**.
We need to find out how much **8 kg** of apples will cost.
---
### Step 1: Find the cost per kg
If 3 kg costs $9, then the cost per kg is:
$$
\frac{9}{3} = 3 \text{ dollars per kg}
$$
---
### Step 2: Multiply by the number of kg Li... | 153 | false | [
{
"content": "Liam buys 8 kg of apples at the farmer's market. If 3 kg of apples costs $9, how much will he pay?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given:\n\n- Liam buys **8 kg** of apples.\n- **3 kg** of apples costs **$9**.\n\nWe need to find out how mu... | 30k_dataset | 24 | 24 | 1 | 24 |
52 | 0 | chunk_000000.parquet | 0 | Sophia read 150 English novels during her summer break. Her sister Mia read 1/5 of what Sophia read. How many more novels did Sophia read than Mia?
Can you help me solve this problem and put the final answer inside \boxed{}? | Sure! Let's solve the problem step by step.
### Step 1: Find how many novels Mia read
Sophia read **150** English novels.
Mia read **1/5** of what Sophia read.
$$
\text{Mia's novels} = \frac{1}{5} \times 150 = 30
$$
### Step 2: Find how many more novels Sophia read than Mia
$$
\text{Difference} = 150 - 30 = 120
$$... | 146 | false | [
{
"content": "Sophia read 150 English novels during her summer break. Her sister Mia read 1/5 of what Sophia read. How many more novels did Sophia read than Mia?\nCan you help me solve this problem and put the final answer inside \\boxed{}?",
"role": "user"
},
{
"content": "Sure! Let's solve the pro... | 30k_dataset | 120 | 120 | 1 | 120 |
53 | 0 | chunk_000000.parquet | 0 | In a right triangle, one leg measures 15 inches, and the angle opposite this leg measures $45^\circ$. What is the length of the hypotenuse of the triangle?
Can you help me solve this problem and put the final answer inside \boxed{}? | We are given a **right triangle** with:
- One leg = 15 inches
- The angle opposite this leg = $45^\circ$
We are to find the **length of the hypotenuse**.
---
### Step 1: Understand the triangle
Since the triangle is a **right triangle** and one of the angles is $45^\circ$, the triangle is a **45-45-90 triangle**.
... | 211 | false | [
{
"content": "In a right triangle, one leg measures 15 inches, and the angle opposite this leg measures $45^\\circ$. What is the length of the hypotenuse of the triangle?\nCan you help me solve this problem and put the final answer inside \\boxed{}?",
"role": "user"
},
{
"content": "We are given a *... | 30k_dataset | 15\sqrt{2 | 15\sqrt{2 | 0 | 15*sqrt(2) |
54 | 0 | chunk_000000.parquet | 0 | The value of $\sqrt{103}$ lies between two positive, consecutive integers. Determine the sum of these two integers.
Please reason step by step, and put your final answer within \boxed{}. | We are given that the value of $\sqrt{103}$ lies between two **positive, consecutive integers**, and we are to find the **sum of these two integers**.
---
### Step 1: Understand the problem
We are looking for two **consecutive integers** $n$ and $n+1$ such that:
$$
n < \sqrt{103} < n+1
$$
Then, the sum of these tw... | 317 | false | [
{
"content": "The value of $\\sqrt{103}$ lies between two positive, consecutive integers. Determine the sum of these two integers. \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given that the value of $\\sqrt{103}$ lies between two... | 30k_dataset | 21 | 21 | 1 | 21 |
55 | 0 | chunk_000000.parquet | 0 | Simplify: $\sqrt{72} - \sqrt{18}$. Express your answer in simplest radical form.
put the final answer inside \boxed{} | We are asked to simplify:
$$
\sqrt{72} - \sqrt{18}
$$
---
### Step 1: Simplify each square root
#### Simplify $\sqrt{72}$:
$$
\sqrt{72} = \sqrt{36 \cdot 2} = \sqrt{36} \cdot \sqrt{2} = 6\sqrt{2}
$$
#### Simplify $\sqrt{18}$:
$$
\sqrt{18} = \sqrt{9 \cdot 2} = \sqrt{9} \cdot \sqrt{2} = 3\sqrt{2}
$$
---
### Step ... | 219 | false | [
{
"content": "Simplify: $\\sqrt{72} - \\sqrt{18}$. Express your answer in simplest radical form.\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are asked to simplify:\n\n$$\n\\sqrt{72} - \\sqrt{18}\n$$\n\n---\n\n### Step 1: Simplify each square root\n\n#### Simplify $\\s... | 30k_dataset | 3\sqrt{2 | 3\sqrt{2 | 0 | 3*sqrt(2) |
56 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
Emily buys a dress for $550 and a pair of sandals for $150. If she receives a $150 discount, how much does she pay in total? | Emily buys a dress for $550 and a pair of sandals for $150.
Total cost before discount = $550 + $150 = $700.
She receives a $150 discount.
Total amount she pays = $700 - $150 = $550.
\boxed{550} | 78 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nEmily buys a dress for $550 and a pair of sandals for $150. If she receives a $150 discount, how much does she pay in total?",
"role": "user"
},
{
"content": "Emily buys a dress for $550 and a pair of sandals for $... | 30k_dataset | 550 | 550 | 1 | 550 |
57 | 0 | chunk_000000.parquet | 0 | Emily has 48 candies, Sarah has 36 candies, and Tom has no candies. They decide to share the candies equally among the three of them. How many candies will each one get?
put the final answer inside \boxed{} | We are given:
- Emily has **48** candies
- Sarah has **36** candies
- Tom has **0** candies
They want to **share the candies equally among the three of them**.
---
### Step 1: Find the total number of candies
$$
48 + 36 + 0 = 84 \text{ candies}
$$
---
### Step 2: Divide the total equally among 3 people
$$... | 137 | false | [
{
"content": "Emily has 48 candies, Sarah has 36 candies, and Tom has no candies. They decide to share the candies equally among the three of them. How many candies will each one get?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given:\n\n- Emily has **48** candies... | 30k_dataset | 28 | 28 | 1 | 28 |
58 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Liam is three years younger than Olivia. If Olivia is 10 years old, how many years old is Liam? | We are given:
- Liam is **3 years younger** than Olivia.
- Olivia is **10 years old**.
To find Liam's age:
$$
\text{Liam's age} = \text{Olivia's age} - 3 = 10 - 3 = 7
$$
$$
\boxed{7}
$$ | 74 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nLiam is three years younger than Olivia. If Olivia is 10 years old, how many years old is Liam?",
"role": "user"
},
{
"content": "We are given:\n\n- Liam is **3 years younger** than Oli... | 30k_dataset | 7 | 7 | 1 | 7 |
59 | 0 | chunk_000000.parquet | 0 | Samantha is at her family reunion and finds out that she is 18 years younger than her aunt. Her aunt is 10 years younger than her grandmother. If Samantha’s grandmother is 68 years old, how old is Samantha?
put the final answer inside \boxed{} | We are given the following information:
- Samantha is **18 years younger** than her aunt.
- Her **aunt is 10 years younger** than her grandmother.
- Samantha’s **grandmother is 68 years old**.
We need to find **Samantha's age**.
---
### Step 1: Find the aunt's age
The aunt is 10 years younger than the grandmother:... | 177 | false | [
{
"content": "Samantha is at her family reunion and finds out that she is 18 years younger than her aunt. Her aunt is 10 years younger than her grandmother. If Samantha’s grandmother is 68 years old, how old is Samantha?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are... | 30k_dataset | 40 | 40 | 1 | 40 |
60 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
What is the value of $\left(\frac{4}{9}\right)\left(\frac{9}{13}\right)\left(\frac{13}{17}\right)\left(\frac{17}{21}\right)$? Express your answer as a common fraction. | We are given the expression:
$$
\left(\frac{4}{9}\right)\left(\frac{9}{13}\right)\left(\frac{13}{17}\right)\left(\frac{17}{21}\right)
$$
Notice that this is a product of fractions where the numerator of each fraction cancels with the denominator of the previous one. Let's write it out step by step:
$$
\frac{4}{9} \c... | 257 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nWhat is the value of $\\left(\\frac{4}{9}\\right)\\left(\\frac{9}{13}\\right)\\left(\\frac{13}{17}\\right)\\left(\\frac{17}{21}\\right)$? Express your answer as a common fraction.",
"role": "us... | 30k_dataset | \frac{4 | \frac{4 | 0 | 4/21 |
61 | 0 | chunk_000000.parquet | 0 | Samantha is preparing muffins for a school event. She wants to make 121 muffins. Her recipe makes enough muffin batter for 11 muffins. The recipe calls for 3 bananas. How many bananas does Samantha need?
Please reason step by step, and put your final answer within \boxed{}. | We are given the following information:
- Samantha wants to make **121 muffins**.
- Her recipe makes **11 muffins** with **3 bananas**.
We need to find out how many **bananas** she needs to make **121 muffins**.
---
### Step 1: Determine how many batches of the recipe are needed
Each batch makes 11 muffins.
So, ... | 201 | false | [
{
"content": "Samantha is preparing muffins for a school event. She wants to make 121 muffins. Her recipe makes enough muffin batter for 11 muffins. The recipe calls for 3 bananas. How many bananas does Samantha need? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"... | 30k_dataset | 33 | 33 | 1 | 33 |
62 | 0 | chunk_000000.parquet | 0 | If $\log_7 (y+3) = 2$, find $\log_3 y$.
Please reason step by step, and put your final answer within \boxed{}. | We are given the equation:
$$
\log_7 (y + 3) = 2
$$
### Step 1: Convert the logarithmic equation to its exponential form
Recall that:
$$
\log_b a = c \iff b^c = a
$$
So, applying this to the given equation:
$$
\log_7 (y + 3) = 2 \Rightarrow 7^2 = y + 3
$$
$$
49 = y + 3
$$
### Step 2: Solve for $ y $
$$
y = 49 ... | 374 | false | [
{
"content": "If $\\log_7 (y+3) = 2$, find $\\log_3 y$. \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given the equation:\n\n$$\n\\log_7 (y + 3) = 2\n$$\n\n### Step 1: Convert the logarithmic equation to its exponential form\n\nRec... | 30k_dataset | \log_3 46 | \log_3 46 | 1 | log(46, 3) |
63 | 0 | chunk_000000.parquet | 0 | Samantha had 18 stickers. She gave 7 stickers to her friend and then bought 5 more stickers at the store. How many stickers does Samantha have now?
Please reason step by step, and put your final answer within \boxed{}. | Let's solve the problem step by step.
1. **Start with the initial number of stickers:**
$$
18 \text{ stickers}
$$
2. **Subtract the number of stickers she gave to her friend:**
$$
18 - 7 = 11 \text{ stickers}
$$
3. **Add the number of stickers she bought at the store:**
$$
11 + 5 = 16 \text{ ... | 136 | false | [
{
"content": "Samantha had 18 stickers. She gave 7 stickers to her friend and then bought 5 more stickers at the store. How many stickers does Samantha have now? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "Let's solve the problem step b... | 30k_dataset | 16 | 16 | 1 | 16 |
64 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
Emily buys a dress for $85 and a pair of earrings for $45. If she receives a $30 discount, how much does she pay in total? | Emily buys a dress for $85 and a pair of earrings for $45.
Total cost before discount:
$$
85 + 45 = 130
$$
She receives a $30 discount:
$$
130 - 30 = 100
$$
So, Emily pays $\boxed{100}$. | 79 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nEmily buys a dress for $85 and a pair of earrings for $45. If she receives a $30 discount, how much does she pay in total?",
"role": "user"
},
{
"content": "Emily buys a dress for $85 and a pair of earrings for $45... | 30k_dataset | 100 | 100 | 1 | 100 |
65 | 0 | chunk_000000.parquet | 0 | Liam is older than his sister Emma by 4 years. This year, Liam will be 15 years old. How old will Emma be in 5 years?
put the final answer inside \boxed{} | We are given:
- Liam is **4 years older** than Emma.
- This year, **Liam is 15 years old**.
- We need to find out how old **Emma will be in 5 years**.
---
### Step 1: Find Emma's current age
Since Liam is 4 years older than Emma, and Liam is 15 now:
$$
\text{Emma's current age} = 15 - 4 = 11
$$
---
### Step 2: F... | 160 | false | [
{
"content": "Liam is older than his sister Emma by 4 years. This year, Liam will be 15 years old. How old will Emma be in 5 years?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given:\n\n- Liam is **4 years older** than Emma.\n- This year, **Liam is 15 years old**.... | 30k_dataset | 16 | 16 | 1 | 16 |
66 | 0 | chunk_000000.parquet | 0 | Four friends are playing a game of cards. There are 52 cards in the deck, and they want to distribute the cards equally among themselves. How many cards will each friend receive?
put the final answer inside \boxed{} | There are 52 cards in the deck and 4 friends.
To distribute the cards **equally**, we divide the total number of cards by the number of friends:
$$
52 \div 4 = 13
$$
So, each friend will receive **13 cards**.
$$
\boxed{13}
$$ | 71 | false | [
{
"content": "Four friends are playing a game of cards. There are 52 cards in the deck, and they want to distribute the cards equally among themselves. How many cards will each friend receive?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "There are 52 cards in the deck and... | 30k_dataset | 13 | 13 | 1 | 13 |
67 | 0 | chunk_000000.parquet | 0 | If $27 = 3^{2s-3}$, what is the value of $s$? Express your answer as a common fraction.
Please reason step by step, and put your final answer within \boxed{}. | We are given the equation:
$$
27 = 3^{2s - 3}
$$
### Step 1: Express 27 as a power of 3
We know that:
$$
27 = 3^3
$$
So the equation becomes:
$$
3^3 = 3^{2s - 3}
$$
### Step 2: Since the bases are the same, set the exponents equal
$$
3 = 2s - 3
$$
### Step 3: Solve for $ s $
Add 3 to both sides:
$$
3 + 3 = 2... | 184 | false | [
{
"content": "If $27 = 3^{2s-3}$, what is the value of $s$? Express your answer as a common fraction. \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given the equation:\n\n$$\n27 = 3^{2s - 3}\n$$\n\n### Step 1: Express 27 as a power... | 30k_dataset | 3 | 3 | 1 | 3 |
68 | 0 | chunk_000000.parquet | 0 | Emily is 4 years younger than Olivia. Olivia is half as old as Frank. If Frank is 32 years old, how old is Emily?
put the final answer inside \boxed{} | We are given the following information:
- Emily is **4 years younger** than Olivia.
- Olivia is **half as old** as Frank.
- Frank is **32 years old**.
---
### Step 1: Find Olivia's age
Olivia is half as old as Frank:
$$
\text{Olivia's age} = \frac{1}{2} \times 32 = 16
$$
---
### Step 2: Find Emily's age
Emily i... | 146 | false | [
{
"content": "Emily is 4 years younger than Olivia. Olivia is half as old as Frank. If Frank is 32 years old, how old is Emily?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given the following information:\n\n- Emily is **4 years younger** than Olivia.\n- Olivia is... | 30k_dataset | 12 | 12 | 1 | 12 |
69 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Sarah has 40 hives on her left hand and 55 hives on her right hand. How many hives does she have in total? | Sarah has 40 hives on her left hand and 55 hives on her right hand. To find the total number of hives, we add:
$$
40 + 55 = 95
$$
The total number of hives is $\boxed{95}$. | 63 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nSarah has 40 hives on her left hand and 55 hives on her right hand. How many hives does she have in total?",
"role": "user"
},
{
"content": "Sarah has 40 hives on her left hand and 55 h... | 30k_dataset | 95 | 95 | 1 | 95 |
70 | 0 | chunk_000000.parquet | 0 | Alex buys a couch for $850 and gets a 20% discount. How much did he pay?
Please reason step by step, and put your final answer within \boxed{}. | Let's break this down step by step.
1. **Original price of the couch**: $850
2. **Discount percentage**: 20%
3. **Discount amount**:
$$
20\% \text{ of } 850 = 0.20 \times 850 = 170
$$
4. **Price after discount**:
$$
850 - 170 = 680
$$
### Final Answer:
$$
\boxed{680}
$$
So, Alex paid **$6... | 143 | false | [
{
"content": "Alex buys a couch for $850 and gets a 20% discount. How much did he pay? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "Let's break this down step by step.\n\n1. **Original price of the couch**: $850 \n2. **Discount percenta... | 30k_dataset | 680 | 680 | 1 | 680 |
71 | 0 | chunk_000000.parquet | 0 | Liam had 45 stickers. He gave 12 stickers to his friend and then bought another 15 stickers in the store. How many stickers does Liam have in the end?
put the final answer inside \boxed{} | Let's solve the problem step by step:
1. Liam starts with **45 stickers**.
2. He gives **12 stickers** to his friend:
$ 45 - 12 = 33 $ stickers left.
3. He then buys **15 more stickers**:
$ 33 + 15 = 48 $ stickers.
### Final Answer:
$$
\boxed{48}
$$ | 92 | false | [
{
"content": "Liam had 45 stickers. He gave 12 stickers to his friend and then bought another 15 stickers in the store. How many stickers does Liam have in the end?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "Let's solve the problem step by step:\n\n1. Liam starts with *... | 30k_dataset | 48 | 48 | 1 | 48 |
72 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
The operation $\diamond$ is defined as $a \diamond b = a - \frac{a}{b}$. What is the value of $15 \diamond 5$? | We are given the operation:
$$
a \diamond b = a - \frac{a}{b}
$$
We are asked to find the value of:
$$
15 \diamond 5
$$
### Step 1: Substitute $ a = 15 $ and $ b = 5 $ into the definition:
$$
15 \diamond 5 = 15 - \frac{15}{5}
$$
### Step 2: Simplify the fraction:
$$
\frac{15}{5} = 3
$$
### Step 3: Subtract:
$$... | 151 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nThe operation $\\diamond$ is defined as $a \\diamond b = a - \\frac{a}{b}$. What is the value of $15 \\diamond 5$?",
"role": "user"
},
{
"content": "We are given the operation:\n\n$$\na \\diamond b = a - \\frac{a}{... | 30k_dataset | 12 | 12 | 1 | 12 |
73 | 0 | chunk_000000.parquet | 0 | There were 28 marbles in a bag. Sam took out 12 of them. Then, he put back 3 of the removed marbles and took out 5 more. How many marbles are now in the bag?
put the final answer inside \boxed{} | Let's break down the problem step by step:
1. **Initial number of marbles in the bag:** 28
2. **Sam takes out 12 marbles:**
$ 28 - 12 = 16 $ marbles left in the bag.
3. **Sam puts back 3 marbles:**
$ 16 + 3 = 19 $ marbles in the bag.
4. **Sam takes out 5 more marbles:**
$ 19 - 5 = 14 $ marbles lef... | 139 | false | [
{
"content": "There were 28 marbles in a bag. Sam took out 12 of them. Then, he put back 3 of the removed marbles and took out 5 more. How many marbles are now in the bag?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "Let's break down the problem step by step:\n\n1. **Init... | 30k_dataset | 14 | 14 | 1 | 14 |
74 | 0 | chunk_000000.parquet | 0 | Below is a math question. I want you to reason through the steps and then give a final answer. Your final answer should be in \boxed\{\}.
Question: Liam has 50 cookies and wants to share them equally with his 4 friends. How many cookies does each person get, including Liam?
Please reason step by step, and put your fin... | We are given that Liam has **50 cookies** and wants to share them **equally with his 4 friends**. We are to find out how many cookies **each person** gets, including Liam.
---
### Step 1: Determine the total number of people
Liam is sharing the cookies with **4 friends**, so the total number of people is:
$$
1 \text... | 171 | false | [
{
"content": "Below is a math question. I want you to reason through the steps and then give a final answer. Your final answer should be in \\boxed\\{\\}.\nQuestion: Liam has 50 cookies and wants to share them equally with his 4 friends. How many cookies does each person get, including Liam? \nPlease reason ste... | 30k_dataset | 10 | 10 | 1 | 10 |
75 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
A dairy farm has 150 cows. 30 percent are Holsteins, and 60 percent of the Holsteins are bulls. How many Holstein cows are there on the farm? | We are given:
- Total number of cows = 150
- 30% of the cows are Holsteins
- 60% of the Holsteins are bulls (this is extra information, not needed for the question)
We are asked: **How many Holstein cows are there on the farm?**
### Step 1: Calculate 30% of 150
$$
0.30 \times 150 = 45
$$
### Final Answer:
$$
\b... | 117 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nA dairy farm has 150 cows. 30 percent are Holsteins, and 60 percent of the Holsteins are bulls. How many Holstein cows are there on the farm?",
"role": "user"
},
{
"content": "We are given:\n\n- Total number of cow... | 30k_dataset | 45 | 45 | 1 | 45 |
76 | 0 | chunk_000000.parquet | 0 | Simplify: $2^0 + 2^1 + 2^2 + \cdots + 2^{2009}.$
Please reason step by step, and put your final answer within \boxed{}. | We are asked to simplify the sum:
$$
2^0 + 2^1 + 2^2 + \cdots + 2^{2009}
$$
---
### Step 1: Recognize the type of series
This is a **geometric series** with:
- First term $ a = 2^0 = 1 $
- Common ratio $ r = 2 $
- Number of terms $ n = 2010 $ (from $ 2^0 $ to $ 2^{2009} $)
---
### Step 2: Use the formula for the... | 265 | false | [
{
"content": "Simplify: $2^0 + 2^1 + 2^2 + \\cdots + 2^{2009}.$ \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are asked to simplify the sum:\n\n$$\n2^0 + 2^1 + 2^2 + \\cdots + 2^{2009}\n$$\n\n---\n\n### Step 1: Recognize the type of se... | 30k_dataset | 2^{2010 | 2^{2010 | 0 | -1 + 2**2010 |
77 | 0 | chunk_000000.parquet | 0 | Emily buys a blender for $120 and a coffee maker for $80. She has a $50 off coupon. How much did she spend in total?
Please reason step by step, and put your final answer within \boxed{}. | Let's break down the problem step by step.
1. **Find the total cost of the items before applying the coupon:**
- Blender: $120
- Coffee maker: $80
- Total before discount:
$$
120 + 80 = 200
$$
2. **Apply the $50 off coupon:**
- Subtract the coupon value from the total:
$$
200 ... | 142 | false | [
{
"content": "Emily buys a blender for $120 and a coffee maker for $80. She has a $50 off coupon. How much did she spend in total? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "Let's break down the problem step by step.\n\n1. **Find the t... | 30k_dataset | 150 | 150 | 1 | 150 |
78 | 0 | chunk_000000.parquet | 0 | What is the sum of the first 5 positive integers that are perfect squares?
Please reason step by step, and put your final answer within \boxed{}. | We are asked to find the **sum of the first 5 positive integers that are perfect squares**.
---
### Step 1: Understand what a perfect square is
A **perfect square** is a number that is the square of an integer. For example:
- $1^2 = 1$
- $2^2 = 4$
- $3^2 = 9$
- $4^2 = 16$
- $5^2 = 25$
So the first 5 **positive per... | 236 | false | [
{
"content": "What is the sum of the first 5 positive integers that are perfect squares? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are asked to find the **sum of the first 5 positive integers that are perfect squares**.\n\n---\n\n#... | 30k_dataset | 55 | 55 | 1 | 55 |
79 | 0 | chunk_000000.parquet | 0 | Samantha reads a book with 360 pages. Her sister Emma reads a book with 15 more than half the number of pages Samantha's book has. How many pages are in the book of Emma?
put the final answer inside \boxed{} | We are given:
- Samantha's book has **360 pages**.
- Emma's book has **15 more than half** the number of pages in Samantha's book.
Let's break it down step by step.
1. Half of Samantha's book:
$$
\frac{1}{2} \times 360 = 180
$$
2. Add 15 to that:
$$
180 + 15 = 195
$$
So, Emma's book has **195... | 135 | false | [
{
"content": "Samantha reads a book with 360 pages. Her sister Emma reads a book with 15 more than half the number of pages Samantha's book has. How many pages are in the book of Emma?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given:\n\n- Samantha's book has **3... | 30k_dataset | 195 | 195 | 1 | 195 |
80 | 0 | chunk_000000.parquet | 0 | Liam had 45 stickers. He gave 15 stickers to his friend and then received 20 more stickers from another friend. How many stickers does Liam have now?
Can you help me solve this problem and put the final answer inside \boxed{}? | Sure! Let's solve the problem step by step.
Liam starts with **45 stickers**.
1. He gives **15 stickers** to his friend:
$ 45 - 15 = 30 $ stickers left.
2. Then he receives **20 more stickers** from another friend:
$ 30 + 20 = 50 $ stickers.
### Final Answer:
$$
\boxed{50}
$$
Liam now has **50 sticker... | 109 | false | [
{
"content": "Liam had 45 stickers. He gave 15 stickers to his friend and then received 20 more stickers from another friend. How many stickers does Liam have now?\nCan you help me solve this problem and put the final answer inside \\boxed{}?",
"role": "user"
},
{
"content": "Sure! Let's solve the p... | 30k_dataset | 50 | 50 | 1 | 50 |
81 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Samantha’s snake lays 3 eggs every month. After 2 years, how many eggs will the snake have laid? | Samantha’s snake lays 3 eggs every month.
There are 12 months in a year, so in 2 years, there are:
$$
2 \times 12 = 24 \text{ months}
$$
The snake lays 3 eggs per month, so in 24 months, it lays:
$$
3 \times 24 = 72 \text{ eggs}
$$
### Final Answer: $\boxed{72}$ | 98 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nSamantha’s snake lays 3 eggs every month. After 2 years, how many eggs will the snake have laid?",
"role": "user"
},
{
"content": "Samantha’s snake lays 3 eggs every month.\n\nThere are... | 30k_dataset | 72 | 72 | 1 | 72 |
82 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
There are 28 questions in the Math quiz that Jimmy took. He answered 7 questions incorrectly. How many questions did Jimmy answer correctly? | Jimmy took a quiz with 28 questions in total. He answered 7 incorrectly. To find out how many he answered correctly, subtract the number of incorrect answers from the total:
$$
28 - 7 = 21
$$
So, Jimmy answered $\boxed{21}$ questions correctly. | 64 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nThere are 28 questions in the Math quiz that Jimmy took. He answered 7 questions incorrectly. How many questions did Jimmy answer correctly?",
"role": "user"
},
{
"content": "Jimmy took... | 30k_dataset | 21 | 21 | 1 | 21 |
83 | 0 | chunk_000000.parquet | 0 | Sarah counted the number of spots on her two dogs. Buddy has 18 spots, while Roxy has 5 more than half the number of spots as Buddy. How many spots does Roxy have?
Please reason step by step, and put your final answer within \boxed{}. | We are given the following information:
- Buddy has **18 spots**.
- Roxy has **5 more than half the number of spots as Buddy**.
---
### Step 1: Find half the number of Buddy's spots
Buddy has 18 spots.
$$
\frac{1}{2} \times 18 = 9
$$
---
### Step 2: Add 5 to that result
Roxy has 5 more than this amount:
$$
9 +... | 139 | false | [
{
"content": "Sarah counted the number of spots on her two dogs. Buddy has 18 spots, while Roxy has 5 more than half the number of spots as Buddy. How many spots does Roxy have? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given t... | 30k_dataset | 14 | 14 | 1 | 14 |
84 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
Emma deposited $120 in a bank. If Katie deposited $20 less than four times as much as Emma, how much did Katie deposit in the bank? | We are given:
- Emma deposited **$120**.
- Katie deposited **$20 less than four times as much as Emma**.
Step 1: Find four times what Emma deposited:
$$
4 \times 120 = 480
$$
Step 2: Subtract $20 from that amount:
$$
480 - 20 = 460
$$
So, Katie deposited **$460**.
$$
\boxed{460}
$$ | 111 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nEmma deposited $120 in a bank. If Katie deposited $20 less than four times as much as Emma, how much did Katie deposit in the bank?",
"role": "user"
},
{
"content": "We are given:\n\n- Emma deposited **$120**.\n- K... | 30k_dataset | 460 | 460 | 1 | 460 |
85 | 0 | chunk_000000.parquet | 0 | If Olivia is 6 years older than her sister and Olivia will be 30 years old in 5 years, how old is her sister now?
Please reason step by step, and put your final answer within \boxed{}. | We are given the following information:
- Olivia is **6 years older** than her sister.
- In **5 years**, Olivia will be **30 years old**.
We need to find **how old Olivia's sister is now**.
---
### Step 1: Find Olivia's current age
If Olivia will be 30 in 5 years, then her **current age** is:
$$
30 - 5 = 25
$$
S... | 218 | false | [
{
"content": "If Olivia is 6 years older than her sister and Olivia will be 30 years old in 5 years, how old is her sister now? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given the following information:\n\n- Olivia is **6 years... | 30k_dataset | 19 | 19 | 1 | 19 |
86 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
If \(h(x) = x^3\) and \(k(x) = 2x - 5\), what is \(h(k(4))\)? | We are given two functions:
- $ h(x) = x^3 $
- $ k(x) = 2x - 5 $
We are asked to find $ h(k(4)) $.
---
### Step 1: Evaluate $ k(4) $
$$
k(4) = 2(4) - 5 = 8 - 5 = 3
$$
---
### Step 2: Use the result in $ h(x) $
$$
h(k(4)) = h(3) = 3^3 = 27
$$
---
### Final Answer:
$$
\boxed{27}
$$ | 135 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nIf \\(h(x) = x^3\\) and \\(k(x) = 2x - 5\\), what is \\(h(k(4))\\)?",
"role": "user"
},
{
"content": "We are given two functions:\n\n- $ h(x) = x^3 $\n- $ k(x) = 2x - 5 $\n\nWe are asked to find $ h(k(4)) $.\n\n---... | 30k_dataset | 27 | 27 | 1 | 27 |
87 | 0 | chunk_000000.parquet | 0 | Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
Ava borrowed $200 from her brother to buy a new computer. If she has already paid back $150, what is the initial amount she owed? | Ava borrowed $200 from her brother. She has already paid back $150. The question asks for the **initial amount she owed**, which is the original amount she borrowed.
So, the initial amount she owed is:
$$
\boxed{200}
$$ | 59 | false | [
{
"content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\nAva borrowed $200 from her brother to buy a new computer. If she has already paid back $150, what is the initial amount she owed?",
"role": "user"
},
{
"content": "Ava borrowed $200 fro... | 30k_dataset | 200 | 200 | 1 | 200 |
88 | 0 | chunk_000000.parquet | 0 | We are given that
\[24 + 5 + 391 - 200 - 52 = 200.\]
Now, let's remove the parentheses:
\[24 + 5 + 391 - 200 - 52.\]
What does this expression equal?
Please reason step by step, and put your final answer within \boxed{}. | We are given the expression:
$$
24 + 5 + 391 - 200 - 52
$$
We are to evaluate this expression step by step.
---
### Step 1: Add the positive numbers
Start by adding the positive terms:
$$
24 + 5 + 391
$$
First, add 24 and 5:
$$
24 + 5 = 29
$$
Now add 29 and 391:
$$
29 + 391 = 420
$$
So far, we have:
$$
420 ... | 239 | false | [
{
"content": "We are given that\n\\[24 + 5 + 391 - 200 - 52 = 200.\\]\nNow, let's remove the parentheses:\n\\[24 + 5 + 391 - 200 - 52.\\]\nWhat does this expression equal? \nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
},
{
"content": "We are given the exp... | 30k_dataset | 168 | 168 | 1 | 168 |
89 | 0 | chunk_000000.parquet | 0 | Emily is 4 inches taller than her sister Lisa. Lisa is 3 inches shorter than their brother Mike. If Mike is 40 inches tall, how tall is Emily?
put the final answer inside \boxed{} | We are given the following information:
- Emily is **4 inches taller** than her sister **Lisa**.
- **Lisa is 3 inches shorter** than their brother **Mike**.
- **Mike is 40 inches tall**.
---
### Step 1: Find Lisa's height
Lisa is 3 inches shorter than Mike:
$$
\text{Lisa's height} = \text{Mike's height} - 3 = 40 -... | 179 | false | [
{
"content": "Emily is 4 inches taller than her sister Lisa. Lisa is 3 inches shorter than their brother Mike. If Mike is 40 inches tall, how tall is Emily?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given the following information:\n\n- Emily is **4 inches talle... | 30k_dataset | 41 | 41 | 1 | 41 |
90 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
Mrs. Johnson agreed to raise 40% of the funds for her daughter's school trip. If the total cost for the trip is $450, how much does Mrs. Johnson need to contribute? | To find out how much Mrs. Johnson needs to contribute, we calculate 40% of the total cost of the trip.
Total cost of the trip = $450
Percentage Mrs. Johnson is responsible for = 40% = 0.40
$$
\text{Mrs. Johnson's contribution} = 450 \times 0.40 = 180
$$
$$
\boxed{180}
$$ | 97 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nMrs. Johnson agreed to raise 40% of the funds for her daughter's school trip. If the total cost for the trip is $450, how much does Mrs. Johnson need to contribute?",
"role": "user"
},
{
"content": "To find out how... | 30k_dataset | 180 | 180 | 1 | 180 |
91 | 0 | chunk_000000.parquet | 0 | If Emily is 3 years older than Olivia. Olivia is 5 years younger than Noah. Noah is 12 years old. How old is Emily?
put the final answer inside \boxed{} | We are given the following information:
- **Noah is 12 years old.**
- **Olivia is 5 years younger than Noah.**
- **Emily is 3 years older than Olivia.**
Let's solve step by step.
### Step 1: Find Olivia's age
Olivia is 5 years younger than Noah:
$$
\text{Olivia's age} = \text{Noah's age} - 5 = 12 - 5 = 7
$$
### St... | 172 | false | [
{
"content": "If Emily is 3 years older than Olivia. Olivia is 5 years younger than Noah. Noah is 12 years old. How old is Emily?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given the following information:\n\n- **Noah is 12 years old.**\n- **Olivia is 5 years you... | 30k_dataset | 10 | 10 | 1 | 10 |
92 | 0 | chunk_000000.parquet | 0 | Think step by step. put the answer (and only answer) inside \boxed{}.
Emma’s age is three times Fiona’s age. If Fiona is 8 years old, how old will Emma be in 5 years? | We are given:
- Emma’s age is **three times** Fiona’s age.
- Fiona is **8 years old** now.
### Step 1: Find Emma's current age
Emma's age = 3 × Fiona's age = 3 × 8 = **24 years**
### Step 2: Find Emma's age in 5 years
Emma's age in 5 years = 24 + 5 = **29 years**
### Final Answer:
$$
\boxed{29}
$$ | 107 | false | [
{
"content": "Think step by step. put the answer (and only answer) inside \\boxed{}.\nEmma’s age is three times Fiona’s age. If Fiona is 8 years old, how old will Emma be in 5 years?",
"role": "user"
},
{
"content": "We are given:\n\n- Emma’s age is **three times** Fiona’s age.\n- Fiona is **8 years... | 30k_dataset | 29 | 29 | 1 | 29 |
93 | 0 | chunk_000000.parquet | 0 | Marie bought 5 apples for €2. How much would seven apples cost?
put the final answer inside \boxed{} | We are given that Marie bought **5 apples for €2**.
We need to find the cost of **7 apples**.
---
### Step 1: Find the cost of 1 apple
$$
\text{Cost of 1 apple} = \frac{€2}{5} = €0.40
$$
---
### Step 2: Find the cost of 7 apples
$$
\text{Cost of 7 apples} = 7 \times €0.40 = €2.80
$$
---
### Final Answer:
$$
\... | 130 | false | [
{
"content": "Marie bought 5 apples for €2. How much would seven apples cost?\nput the final answer inside \\boxed{}",
"role": "user"
},
{
"content": "We are given that Marie bought **5 apples for €2**.\n\nWe need to find the cost of **7 apples**.\n\n---\n\n### Step 1: Find the cost of 1 apple\n\n$$... | 30k_dataset | 2.8 | 2.8 | 1 | 2.80000000000000 |
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