inputs stringlengths 615 2.81k | targets stringlengths 49 2.18k | question_id int64 1 7.47k | model_output_id int64 0 111 | target stringclasses 847
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Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. Eliza spends 2 hours on blouses, which is equal to 2 * 60 = 120 minutes.
2. She can iron a blouse in 15 minutes, so in 120 minutes, she can iron 120 / 15 = 8 blouses.
3. Eliza spends 3 hours on dresses, which is equal to 3 * 60 = 180 minutes.
4. She can iron a dress in 20 minutes, so in 1... | 3,881 | 21 | 17 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
**Step 1:** They went through 12 * 20 = 240 samples.
Expected Answer: They had to open 12 boxes in which there are a total of 12 * 20 = 240 samples.
**Verification: Correct (Yes)**
**Step 2:** They had 5 left over at the end of the day, which means 240 - 5 = 235 people tried the sample as it was lim... | 6,866 | 4 | 235 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. Brad weighs 5 pounds more than Carl, so Brad weighs 145 + 5 = 150 pounds.
**Correct.**
2. Billy weighs 9 pounds more than Brad, so Billy weighs 150 + 9 = 159 pounds.
**Correct.**
**Expected Answer:**
Brad weighs 5 pounds more than Carl, who weighs 145 pounds. So Brad weighs 145 + 5 = ... | 4,137 | 7 | 159 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. John got 80% of the value of his old stereo system, which was $250.
This means he got 80/100 * $250 = $200 for his old stereo system. (Correct)
2. He then bought a new system that costs $600, but he got a 25% discount, so he paid 75/100 * $600 = $450 for the new system. (Correct)
3. The... | 2,727 | 19 | 250 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | Verification:
Step 1:
Let the power used by the water heater be \(x\).
Expected Answer: Correct
Step 2:
Then, the power used by the refrigerator is \(3x\).
Expected Answer: Correct
Step 3:
Power used by the electric oven is $500.
Expected Answer: Correct
Step 4:
Since the electric oven uses power worth $500 in a mo... | 5,152 | 2 | 1500 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. "It takes us 15 minutes to arrive at the school gate, and another 6 minutes to get to the school building."
- Correct.
2. "We will have 30 - 15 = 15 minutes left when we get to the gate."
- Correct.
3. "Then it takes us 6 minutes to get to the school building."
- Correct.
... | 4,169 | 2 | 9 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. **Step 1:** Maurice gets $2 for every task finished. So for 30 tasks, he would have made 30 * $2 = $60.
**Expected Answer:** Maurice gets $2 for each finished task. He completed 30 tasks, so for just those tasks, he would have gotten 30 * $2 = $60.
**Verification:** This step is cor... | 2,840 | 9 | 78 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Sydney collects 4 rocks and Conner collects 8 times as many. So Conner collects 8 * 4 = 32 rocks on the first day.
**Expected Answer:** Correct.
Step 2: After the first day Sydney has 837 + 4 = 841 rocks. Conner has 723 + 32 = 755 rocks.
**Expected Answer:** Correct.
Step 3: On day 2, he co... | 534 | 103 | 27 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Grade the Solution:**
**Step 1:**
Solution: Each screen shows 8 / 2 = 4 movies in total.
Expected Answer: Each screen shows 8/2 = 4 movies a day.
Verification: Yes
**Step 2:**
Solution: In total there are 6 screens, each one playing 4 movies each, so we have 6 * 4 = 24 movies in total.
Expected Answer: There are 6 ... | 1,749 | 17 | 24 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Calculating the area of the living room (16' * 20' = 320 sq ft) is correct.
Step 2: Subtracting the area already covered (250 sq ft) to find the area still needed (320 - 250 = 70 sq ft) is correct.
Step 3: Dividing the area still needed by the area covered per box (70 / 10 = 7) to find the ... | 6,587 | 4 | 7 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. He sells 2 suits at $700 each, so he earns a commission of 15% of 2 * $700 = 15% of $1400 = $210.
**Correct.**
2. Then he sells 6 shirts at $50 each, so he earns a commission of 15% of 6 * $50 = 15% of $300 = $45.
**Correct.**
3. Finally, he sells 2 pairs of loafers at $150 each, so he ... | 4,798 | 16 | 300 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: Isabel initially had $204 in her piggy bank. (Correct)
Step 2: She spent half of it on a toy. That means she spent $204 / 2 = $102. (Correct)
Step 3: After she makes the first purchase she has $204 - $102 = $102 left. (Correct)
Step 4: Then she spends half of the remaining money o... | 5,941 | 14 | 51 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
1. She initially had $20. **(Correct)**
2. Her mother gave her twice as much, which would be $20 * 2 = $40. **(Correct)**
3. So now she has $20 + $40 = $60. **(Correct)**
4. She bought ten cupcakes at $1.50 each for a total of 10 * $1.50 = $15. **(Correct)**
5. She bought five boxes of cookies at $3 ... | 6,062 | 16 | 30 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
1. Hilton initially had 26 marbles. (Correct)
2. He found 6 more while playing, so he had 26 + 6 = 32 marbles. (Correct)
3. He then lost 10 marbles, so he had 32 - 10 = 22 marbles. (Correct)
4. Lori gave him twice as many marbles as he lost, so she gave him 2 * 10 = 20 marbles. (Correct)
5. Therefore... | 6,324 | 17 | 42 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
**Step 1:**
Solution: We can calculate the total number of fruits in the 5 baskets except basket E. We have basket A with 15 apples, B with 30 mangoes, C with 20 peaches, and D with 25 pears. So in total, we have 15 + 30 + 20 + 25 = 90 fruits.
Expected Answer: We know that A has 15 apples, ... | 1,497 | 6 | 35 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Bertha starts with two balls and gives one to her partner, so during the game she starts with 1 ball. (Correct)
Step 2: Every 10 games, 1 ball wears out. So after 20 games, 20/10 = 2 balls are worn out. (Correct)
Step 3: Every 5 games, she loses a ball. So after 20 games, 20/5 = 4 balls are... | 2,997 | 35 | 10 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: There are 4 red chairs. (Correct)
Step 2: There are 2 times as many yellow chairs as red chairs, so there are 4 * 2 = 8 yellow chairs. (Correct)
Step 3: There are 2 fewer blue chairs than yellow chairs, so there are 8 - 2 = 6 blue chairs. (Correct)
Step 4: So, originally there are 4 + 8 + ... | 3,860 | 10 | 15 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: "There are 7 days in the week." - Correct.
Step 2: "Davante has twice as many friends, so that's 2 * 7 = 14 friends." - Correct.
Step 3: "3 of them are girls, so that leaves 14 - 3 = 11 friends who are boys." - Correct.
The Solution follows the same steps and arrives at the same a... | 4,418 | 14 | 11 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
**Step 1:** The class has 500 tables. (Correct)
**Step 2:** 2/5 times as many books are placed on each table. (Correct)
**Step 3:** Therefore, there are 2/5 * 500 = 200 books per table. (Correct)
**Step 4:** To find the total number of books we multiply the number of books on each table with... | 1,487 | 7 | 100000 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: The balloon increases by two-fifths of its previous volume every hour. This means after 1 hour, it's increased by 2/5 of 500 cm³, i.e. 200 cm³. (Correct)
Step 2: So after 1 hour, its volume is 500 cm³ + 200 cm³ = 700 cm³. (Correct)
Step 3: After the 2nd hour, it will increase by 2/... | 6,802 | 1 | 980 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Collin brought 12 cans from home. (Correct)
Step 2: He found 3 times as many at his grandparents' house, so he got 3 * 12 = 36 cans. (Correct)
Step 3: That's a total of 12 + 36 = 48 cans. (Correct)
Step 4: Then he got 46 cans from his neighbor and 250 cans from his dad. (Correct)
Step 5: ... | 5,060 | 9 | 43 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
**Step 1:**
Solution: John gave 3/8 of his money to his mother. That means he gave 200 / 8 * 3 = 75 dollars.
Expected Answer: John gave 3/8 of his money to his mother, this means $200 * 3/8 = $75.
**Result:** The solution step matches the expected answer.
**Step 2:**
Solution: Then he gave 3/10 of ... | 249 | 10 | 65 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification**
Step 1: Calculate the cost of the shirts: $18.50 * 2 = $37
Verification: Correct.
Step 2: Add the cost of the shirts and the trousers: $37 + $63 = $100
Verification: Correct.
Step 3: Subtract the total cost from the initial amount: $260 - $100 = $160
Verification: Correct.
Step 4: Divide t... | 721 | 10 | 40 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: Patricia has 4 barrels of 7 gallons each.
**Correct.**
Step 2: The total capacity is 4 * 7 = 28 gallons.
**Correct.**
Step 3: There is a flow rate of 3.5 gallons per minute.
**Correct.**
Step 4: To find the number of minutes it will take to fill all barrels, we need to divide the ... | 2,162 | 4 | 8 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: The perimeter of the rectangular plot is calculated correctly as 2 * (length + width) = 2 * (225 ft + 125 ft) = 700 ft.
Step 2: The widths of the two gates are added correctly as 3 ft + 10 ft = 13 ft.
Step 3: The amount of fencing Bob needs is calculated correctly by subtracting th... | 3,401 | 12 | 687 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: "Eric has 4 chickens. Each chicken lays 3 eggs per day. So in one day, the chickens lay 4 * 3 = 12 eggs."
Expected Answer: "Eric has 4 chickens, each laying 3 eggs per day. So in total the chickens lay 4 * 3 = 12 eggs per day."
This step is correct. The number of eggs laid by the ch... | 2,760 | 4 | 36 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: The theater sells 200 matinee tickets at $5 each.
200 * $5 = $1000.
This step is correct.
Step 2: The theater sells 300 evening tickets at $12 each.
300 * $12 = $3600.
This step is correct.
Step 3: The theater sells 100 3D tickets at $20 each.
100 * $20 = $2000.
This step is correct.
Step ... | 1,313 | 1 | 6600 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification Steps:**
1. The drive has space for 2000 - 400 = 1600 photos.
- Yes, this step is correct.
2. Each photo is 1.5 kilobytes in size, so it is (1.5 * 400) or 600 total kilobytes stored from the 400 photos.
- Yes, this step is correct.
3. To store a 200-kilobyte video, (200 / 1.5 = 133.333...... | 564 | 3 | 12 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: Bobby can deadlift 300 pounds at 13. (Correct)
Step 2: At 18, he can deadlift 100 pounds more than 250% of his previous deadlift. (Correct)
Step 3: 250% of 300 pounds is 250/100 * 300 = 750 pounds. (Correct)
Step 4: He can deadlift 100 pounds more than 750, which means he can now ... | 3,649 | 26 | 110 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. "Trey has 7 times as many turtles as Kris" is correct.
2. "Kris has 1/4 as many turtles as Kristen has" is correct.
3. "Kris has 12/4 = 3 turtles" is correct.
4. "Trey has 7 * 3 = 21 turtles" is correct.
5. "Kristen has 12 turtles and Trey has 21 turtles, so Trey has 21 - 12 = 9 more turt... | 6,618 | 12 | 9 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. Billy has 10 fish. (Correct)
2. Tony has 3 times Billy's fish. 3 * 10 = 30 fish. (Correct)
3. Sarah has 5 more fish in her aquarium than Tony has. 30 + 5 = 35 fish. (Correct)
4. Bobby has twice as many fish as Sarah's has. 35 * 2 = 70 fish. (Correct)
5. Now add all their fish together: 10... | 2,008 | 17 | 145 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | <b>Solution Verification:</b>
<b>Step 1:</b> The side length of the playground is 12 meters. This means the area of the playground is 12 ^ 2 = 144 square meters.
<b>Verification:</b> Correct.
<b>Step 2:</b> The maintenance building is 8 meters long and 5 meters wide, so its area is 8 * 5 = 40 square meters.
<b>Verifi... | 2,434 | 14 | 104 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Olive charged her phone for 10 hours last night. (Correct)
Step 2: Each hour of charge lasted her 2 hours. (Correct)
Step 3: So, after charging for 10 hours, she could use her phone for 10 * 2 = 20 hours. (Correct)
Step 4: If she charged it for 3/5 of the time (3/5 of 10), she could use he... | 1,765 | 14 | 12 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
**Step 1:** Monday: 12 bouquets (Correct)
**Step 2:** Tuesday: 3 * 12 = 36 bouquets (Correct)
**Step 3:** Wednesday: 1/3 * 36 = 12 bouquets (Correct)
**Step 4:** Total: 12 + 36 + 12 = 60 bouquets (Correct)
**Expected Answer:**
They sold 12 bouquets on Monday. On Tuesday they sold 3 times that man... | 567 | 15 | 60 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
**Step 1:** Alster caught 2 frogs. (Correct)
**Step 2:** Quinn caught twice as many frogs as Alster. (Correct)
**Step 3:** Quinn caught 2 * 2 = 4 frogs. (Correct)
**Step 4:** Bret caught three times as many frogs as Quinn. (Correct)
**Step 5:** Bret caught 4 * 3 = 12 frogs. (Correct)
**Expected ... | 4,567 | 2 | 12 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
1. James invests $2000 a week into his bank account. Over the year, he invests $2000 * 52 = $104,000. (Correct)
2. Since he started with $250,000, he now has $250,000 + $104,000 = $354,000. (Correct)
3. His windfall is worth 50% more, so it is $354,000 * 1.5 = $531,000. (Correct)
4. That means he ... | 1,881 | 14 | 885000 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Total number of tickets = 30 * 100 = 3000. (Correct)
Step 2: 4th graders bought 30% of them = 3000 * 30 / 100 = 900 tickets. (Correct)
Step 3: Remaining tickets after 4th graders = 3000 - 900 = 2100 tickets. (Correct)
Step 4: 5th graders bought 50% of these remaining tickets = 2100 * 50 / 1... | 1,518 | 16 | 950 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
1. Sandra had $10 initially. (Correct)
2. Her mother gave her an additional $4, so now she has $10 + $4 = $14. (Correct)
3. Her father gave her twice as much as her mother, so he gave her $4 * 2 = $8. (Correct)
4. Now in total she has $14 + $8 = $22. (Correct)
5. She wants to buy 14 candies for $0.5 ... | 1,812 | 8 | 11 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: "Lori has 15 times as many beanie babies as Sydney." (Correct)
Step 2: "So, Sydney must have 300 / 15 = 20 beanie babies." (Correct)
Step 3: "The total amount of beanie babies both of them have would then be 300 + 20 = 320." (Correct)
Step 4: "The answer is 320." (Correct)
The so... | 4,308 | 12 | 320 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: She needs 10 * 8 = 80 apples for all the pies. (Correct)
Step 2: She already has 50 apples, so need to buy 80 - 50 = 30 more apples. (Correct)
The Solution matches the Expected Answer at each step.
Verification: Is the answer correct (Yes/No)? Yes | 4,399 | 14 | 30 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: A pen costs $1.50. (Correct)
Step 2: A notebook costs three times as much, so one notebook would cost 3 * $1.50 = $4.50. (Correct)
Step 3: If Lyle buys 4 notebooks, he would spend 4 * $4.50 = $18.00. (Correct)
**Expected Answer:**
A pen costs $1.50 and a notebook costs three time... | 2,195 | 12 | 18 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: The initial height of the ball is correctly stated as 96 ft.
Step 2: The calculation of the height of the first bounce (48 ft.) is correct.
Step 3: The calculation of the height of the second bounce (24 ft.) is correct.
Step 4: The calculation of the height of the third bounce (12 ft.) is ... | 541 | 7 | 3 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
**Step 1:**
Sam has 3 German Shepherds and 4 French Bulldogs.
**Expected Answer:** Sam has 3 German Shepherds and 4 French Bulldogs.
**Grade:** Correct
**Step 2:**
Peter wants to buy 3 times as many German Shepherds as Sam has, which is 3 * 3 = 9 German Shepherds.
**Expected Answer:** Peter wants to... | 5,701 | 11 | 17 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Calculating the number of students who voted:
Solution: 2000 * 0.25 = 500 votes
Expected Answer: 2000 * 25% = 500 votes
**Grade:** Correct
Step 2: Calculating the number of votes the winner got:
Solution: 0.55 * 500 = 275 votes
Expected Answer: 55% * 500 = 275 votes
**Grade:** Correct
Step ... | 5,515 | 2 | 50 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: Each carrot produces 4 servings. So each plot of carrots produces 9 * 4 = 36 servings. (Correct)
Step 2: Each corn plant produces 5 times as many servings as each carrot plant. So each corn plant produces 5 * 4 = 20 servings. (Correct)
Step 3: Each plot of corn produces 9 * 20 = 18... | 5,759 | 20 | 306 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: 40% of 200 CDs cost $10 each, meaning 0.4 * 200 = 80 CDs cost $10 each. (Correct)
Step 2: Prince bought half of these, meaning he bought 80 / 2 = 40 CDs at $10 each. (Correct)
Step 3: CDs rest cost $5 each, so there are 200 - 80 = 120 CDs that cost $5 each. (Correct)
Step 4: Prince bought ... | 5,979 | 4 | 1000 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | Step 1: A shirt costs $7. Thus, a pair of shoes costs $7 + $3 = $10. (Correct)
Step 2: In total she has 3 items: 2 shirts and 1 pair of shoes. (Correct)
Step 3: The total cost of these three items is $7 * 2 + $10 = $24. (Correct)
Step 4: A bag costs half of this total price, i.e., $24 / 2 = $12. (Correct)
Step 5: I... | 5,758 | 17 | 36 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1:
Expected Answer: Company A must get 100% - 40% = 60% of the profits.
Solution: Company A must get 100% - 40% = 60% of the profits.
Verification: Correct.
Step 2:
Expected Answer: Since Company B gets $60000, we should set up a proportion:
40% of profits = $60000
60% of profits = ?
S... | 1,985 | 15 | 90000 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Grading the Solution:**
1. "Mark has 10 pieces of fruit to eat in the week."
- This step is correct.
2. "He brings 3 to school on Friday, so he must have brought 10 - 3 = 7 fruits to school before."
- This step is correct.
3. "Since he keeps 2 pieces for next week, he must have eaten the rest, which must be ... | 5,757 | 7 | 5 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: He had 2 boxes with 14 pencils each, giving him 2 * 14 = 28 pencils.
Expected Answer: He has 2 * 14 = 28 pencils.
Verification: Yes
Step 2: After giving his brother 6 pencils, he is left with 28 - 6 = 22 pencils.
Expected Answer: He now has 28 - 6 = 22 pencils.
Verification: Yes
Ve... | 6,067 | 15 | 22 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification**
Step 1: Harris feeds his dog 1 carrot per day. (Correct)
Step 2: Since there are 365 days in a year, in one year he will feed his dog 365 carrots. (Correct)
Step 3: There are 5 carrots per 1 pound bag, so he will need 365 / 5 = 73 bags. (Correct)
Step 4: Since each bag costs $2, he will sp... | 829 | 7 | 146 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
**Step 1:**
Let's call the number of passenger cars x.
**Correct.**
**Step 2:**
We know that the number of cargo cars is half the number of passenger cars plus three. So the number of cargo cars is x/2 + 3.
**Correct.**
**Step 3:**
We also know that the total number of cars is 71. So the n... | 2,041 | 6 | 44 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
1. The annual subscription cost is correctly calculated as $10 * 12 = $120.
2. The discount is calculated as 20% of $120, which is 0.2 * $120 = $24.
3. The final amount is calculated as $120 - $24 = $96.
The solution matches the expected answer at every step.
Verification: Is the answer correct... | 1,169 | 10 | 96 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification**
Step 1: Birds have 2 legs each, so 3 birds have 3 * 2 = 6 legs.
(Correct)
Step 2: Dogs have 4 legs each, so 5 dogs have 5 * 4 = 20 legs.
(Correct)
Step 3: Snakes have no legs, so 4 snakes add 0 legs.
(Correct)
Step 4: Spiders have 8 legs each, so 1 spider adds 1 * 8 = 8 legs.
(Correct)
Step 5: In t... | 6,900 | 2 | 34 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Walter spent 13 minutes looking at elephants. (Correct)
Step 2: He spent eight times as long looking at the penguins, which means he spent 13 * 8 = 104 minutes looking at penguins. (Correct)
Step 3: So, out of the total time (2 hours and 10 minutes or 130 minutes) he spent (104 + 13) = 117 ... | 504 | 8 | 13 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Lizzy has to ship 540 pounds of fish that are packed into 30-pound crates. This means she will need 540 / 30 = 18 crates. (Correct)
Step 2: Each crate costs $1.5 to be shipped, so she will pay a total of 18 * $1.5 = $27 for the shipment. (Correct)
The Solution matches the Expected Answer st... | 2,295 | 15 | 27 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Elsa started with 40 marbles.
Step 2: She lost 3 marbles at breakfast, so now she has 40 - 3 = 37 marbles. (Correct)
Step 3: At lunchtime, she gave 5 marbles to Susie, so now she has 37 - 5 = 32 marbles. (Correct)
Step 4: Elsa's mom bought her 12 marbles, so now she has 32 + 12 = 44 marbles. (... | 2,524 | 6 | 54 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. Ryan has 30 stickers. (Correct)
2. Steven has thrice as many stickers, so he has 3 * 30 = 90 stickers. (Correct)
3. Terry has 20 more stickers than Steven, so Terry has 90 + 20 = 110 stickers. (Correct)
4. In total, they have 30 + 90 + 110 = 230 stickers. (Correct)
The Solution matches t... | 6,003 | 3 | 230 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
**Step 1:**
Solution: Maddy has 40 chocolate eggs.
Expected Answer: Maddy was given 40 chocolate eggs.
Both statements are identical and correct.
**Step 2:**
Solution: She eats 2 eggs each school day.
Expected Answer: She likes to eat two each day after school.
Both statements convey the same inform... | 157 | 73 | 4 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Grading the Solution:**
Step 1: Agatha spent $15 on the frame and $25 on the front wheel.
Expected Answer: Correct.
Step 2: Therefore, she spent $15 + $25 = $40.
Expected Answer: Correct.
Step 3: If she has $20 left, that means she had $40 + $20 = $60 at the beginning.
Expected Answer: Correct.
**Final Grade:**
... | 2,074 | 6 | 60 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
**Step 1:**
Solution: The driving time is 2 + 2 = 4 hours.
Expected Answer: Jake spends 2 hours driving each way, making it a total of 2 + 2 = 4 hours of driving.
**Verification:** Step 1 is correct.
**Step 2:**
Solution: Jake spends 2.5 times that long at the beach, which means for every 1 hour... | 4,810 | 16 | 14 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | Verification:
1. The solution correctly states that 1/3 of the townspeople are vaccinated and 1/3 are immune after recovering from COVID.
2. The solution correctly identifies that 1/6 of the townspeople are both vaccinated and already recovered.
3. The solution correctly recognizes that the portion counted twice (... | 5,611 | 53 | 50 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. Stefan cuts the rope into 4 equal parts. That means each part has 200 / 4 = 50 meters. **(Correct)**
2. He then gives half of them, that is 2, to his mother. So Stefan has 4 / 2 = 2 parts left for himself. **(Correct)**
3. He then subdivides these 2 parts again into two equal smaller part... | 888 | 30 | 25 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: "We know that 2 gram crackers and 1 marshmallow are needed to make 1 s'more."
**Correct.**
Step 2: "So, we can make 6 s'mores with 6 marshmallows."
**Correct.**
Step 3: "However, we have 48 graham crackers, which is enough to make 24 s'mores."
**Correct.**
Step 4: "Since we already have th... | 3,688 | 14 | 18 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
1. **Step 1:** "In 1 hour, there are 4 shows of 15 minutes each."
- This step is correct. There are 60 minutes in 1 hour, and each show is 15 minutes long. Therefore, there are 4 shows in 1 hour.
2. **Step 2:** "This means in 1 hour, there are 5 * 4 = 20 actors."
- This step is also correct. S... | 2,789 | 2 | 20 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: Nick has a total of 35 quarters. (Correct)
Step 2: 2/5 of the quarters are state quarters, so he has 35 * 2/5 = 14 state quarters. (Correct)
Step 3: 50 percent of the state quarters are Pennsylvania quarters, so he has 14 * 50% = 7 Pennsylvania quarters. (Correct)
**Expected Answe... | 1,968 | 1 | 7 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. On Saturday, Erica saw 3 lions and 2 elephants, making it 3 + 2 = 5 animals. (Correct)
2. On Sunday, she saw 2 buffaloes and 5 leopards, so 2 + 5 = 7 animals. (Correct)
3. On Monday, she saw 5 rhinos and 3 warthogs, equaling 5 + 3 = 8 animals. (Correct)
4. In total, she saw 5 + 7 + 8 = 20... | 5,101 | 10 | 20 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: "Brady will make $450 more than Dwayne." - Correct.
Step 2: "Thus, Brady will make 1,500 + 450 = $1,950." - Correct.
Step 3: "Then, the combined value of the money Brady and Dwayne will make in a year is 1,500 + 1,950 = $3,450." - Correct.
**Expected Answer:** 3450.
**Erroneous S... | 1,616 | 1 | 3450 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. One-fourth of the dolphins are fully trained: 20 / 4 = 5 dolphins. (Correct)
2. Two-thirds of the remaining dolphins are in training: (20 - 5) * 2 / 3 = 10 dolphins. (Correct)
3. Total dolphins that are fully trained or in training: 5 + 10 = 15 dolphins. (Correct)
4. Rest of the dolphins ... | 3,533 | 9 | 5 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | Verification:
Step 1: Luke's mother gave him $50 + $40 + $30 = $120.
Step 2: Luke's father gave him $200 + $20 + $10 = $230.
Step 3: In total, he received $120 + $230 = $350.
The solution matches the expected answer at every step.
Verification: Is the answer correct (Yes/No)? Yes | 3,186 | 18 | 350 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
**Step 1:**
Woody starts with $42 and needs $282. So, he needs $282 - $42 = $240 from his allowance.
**Expected Answer:** Correct.
**Step 2:**
He receives $24 per week from his allowance. So, he needs $240 / $24 = 10 weeks to save the money he needs.
**Expected Answer:** Correct.
**Final G... | 1,682 | 12 | 10 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
**Step 1:**
Solution: Nina has 3 spiders each with 8 eyes, so the total number of eyes from the spiders is 3 * 8 = 24.
Expected Answer: Nina has 3 spiders each with 8 eyes. This means that the spiders have 3 * 8 = 24 eyes in total.
**Result:** Correct
**Step 2:**
Solution: Nina also has 50 ants e... | 5,798 | 12 | 124 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | Grading the Solution:
Step 1: Vanessa sold 4 shirts for $5 each, making $4 * $5 = $20 from shirts.
- This step is correct.
Step 2: She made a total of $69, so from the dresses she made $69 - $20 = $49.
- This step is correct.
Step 3: If this was earned from selling 7 dresses, then each dress sold for $49 / 7 = $7.
-... | 6,245 | 16 | 7 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Kitty spends 5 minutes to pick up toys and straighten the living room.
Step 2: Kitty spends 20 minutes to vacuum the living room floor, seating and drapes.
Step 3: Kitty spends 15 minutes cleaning the windows.
Step 4: Kitty spends 10 minutes dusting the furniture.
Step 5: In total, Kitty spen... | 960 | 33 | 200 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Initially, there were 9 blue, 21 black, and 6 red pens - 9 + 21 + 6 = 36 pens in total. (Correct)
Step 2: Four blue pens are removed, so now there are 9 - 4 = 5 blue pens. (Correct)
Step 3: 7 black pens are removed, so now there are 21 - 7 = 14 black pens. (Correct)
Step 4: There are still 6 r... | 3,967 | 0 | 25 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
1. Gerald initially had 20 toy cars. (Correct)
2. 1/4 means one fourth, which is equivalent to 20 / 4 = 5 toy cars. (Correct)
3. So he donated 5 toy cars. (Correct)
4. He has 20 - 5 = 15 toy cars left. (Correct)
**The answer is 15.** (Correct)
Verification: Is the answer correct (Yes/No)? Yes | 3,346 | 9 | 15 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Step 1: Freddie's flashlight distance**
Solution: Freddie's flashlight can be seen at a distance of 3 * 1000 = 3000 feet.
Expected Answer: Freddie's flashlight can be seen at a distance of 3 * 1000 = 3000 feet.
Verification: Yes
**Step 2: Velma's flashlight distance**
Solution: Velma's flashlight can be seen at a di... | 6,725 | 7 | 12000 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
**Step 1:**
Solution: The population increased by 25%. This means the population became 684 + 25% of 684.
Expected Answer: The population increased by 25%, so the new population is 684 * 1.25.
**Both statements are equivalent; the step is correct.**
**Step 2:**
Solution: 684 + 25% of 684 = 684 + 0.2... | 861 | 15 | 513 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Grading the Solution:**
**Step 1:**
Solution: The portion of Pat's stick that is not covered in dirt is 30 - 7 = 23 inches.
Expected Answer: The exposed portion is 30 - 7 = 23 inches long.
Grade: Correct.
**Step 2:**
Solution: Since that portion is half as long as Sarah’s stick, Sarah’s stick must be 23 * 2 = 46 in... | 7,001 | 7 | 22 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. Donna cut her pizza into 12 slices: **Correct**
2. She ate half of it for lunch: **Correct**
3. 12 / 2 = 6 slices: **Correct**
4. 6 slices remaining after lunch: **Correct**
5. She ate 1/3 of the remaining slices: **Correct**
6. 6 / 3 = 2 slices: **Correct**
7. Donna has eaten... | 3,917 | 14 | 4 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification**
Step 1: Determine the daily savings.
Old refrigerator cost: $0.85/day
New refrigerator cost: $0.45/day
Daily savings = $0.85 - $0.45 = $0.40/day
Step 2: Calculate the savings for a 30-day month.
Number of days in a month: 30 days
Monthly savings = $0.40/day * 30 days = $12
Expected Answer: ... | 491 | 4 | 12 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | Verification:
Step 1: After 1 month, the number of strawberry plants is doubled, so 2 * Mark's initial number. (Correct)
Step 2: After another month, this number is doubled again, so 4 * Mark's initial number. (Correct)
Step 3: A month after this, the number doubles again to 8 * Mark's initial number. (Correct)
Ste... | 6,543 | 13 | 3 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Grading the Solution**
**Step 1:**
Solution: The slanted rectangular side has an area of 20 * 40 = 800 square feet.
Expected Answer: The area of one rectangular side of the roof is 20 * 40 = 800 square feet.
Verification: Yes
**Step 2:**
Solution: Since there are two sides, one roof has an area of 2 * 800 = 1600 s... | 3,479 | 20 | 38400 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: Aunt Gemma has 4 dogs and feeds them twice a day, so she feeds them a total of 8 meals per day. (Correct)
Step 2: Each meal consumes 250 grams of food, so 8 meals consume 2000 grams of food per day. (Correct)
Step 3: 1 sack of dog food is equal to 50 * 1000 = 50000 grams, so 2 sack... | 385 | 8 | 50 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: The solution correctly calculates the total number of slices by multiplying the number of pizzas by the number of slices per pizza: 3 * 8 = 24.
Step 2: The solution then correctly divides the total number of slices by the number of coworkers to find the number of slices each person will get:... | 4,719 | 10 | 2 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1: Lillian has 3 cups of sugar at home. (Correct)
Step 2: She bought 2 bags of sugar, each with 6 cups, so now she has 3 + 2 * 6 = 15 cups of sugar. (Correct)
Step 3: She needs 1 cup per 12 cupcakes and 2 cups for frosting per dozen cupcakes. So for each dozen cupcakes, she needs 1 + 2 = 3 cup... | 3,323 | 0 | 5 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification**
Step 1: Sophia put 5/6 of her pie in the fridge. (Correct)
Step 2: We can figure out how much the whole pie weighed by multiplying the weight of the rest of the pie by 6/5. (Correct)
Step 3: The pie weighed 1200 * 6/5 = 1440 grams in total. (Correct)
Step 4: Sophia ate 1/6 of that, which i... | 2,280 | 13 | 240 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: Since half of the school attended, a total of 400 / 2 = 200 people attended. (Correct)
Step 2: They collected $2000, so each person contributed $2000 / 200 = $10. (Correct)
Step 3: If 300 people had attended, they would have made 300 * $10 = $3000. (Correct)
The solution is correc... | 5,205 | 6 | 3000 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
Step 1:
Solution: Each can is filled with three quarters of its capacity. That means the total amount of water used was 20 * 8 * 3 / 4 = 120 gallons.
Expected Answer: Each can is filled with three quarters of its capacity, or 3/4 of 8 gallons, which is 6 gallons. The total amount of water used was 20... | 1,224 | 22 | 5 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: The flag has 2 sides. (Correct)
Step 2: Each side has an area of 5 * 4 = 20 square feet. (Correct)
Step 3: In total, he needs to paint 20 * 2 = 40 square feet. (Correct)
Step 4: Each quart of paint covers 4 square feet, so he needs 40 / 4 = 10 quarts. (Correct)
Step 5: Each quart cos... | 2,069 | 12 | 20 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification:**
1. The area of the plot in front of the house is correctly calculated as 200 * 50 = 10000 square feet.
2. The area of the sidewalk is correctly calculated as 3 * 50 = 150 square feet.
3. The area of the first two flower beds is correctly calculated as 4 * 25 * 2 = 200 square feet.
4. The area of the ... | 4,440 | 19 | 9474 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
1. Farmer Steven can plow 10 acres per day and mow 12 acres per day: **Correct**
2. For the 55 acres of farmland, he will need 55 / 10 = 5.5 days: **Correct**
3. For the 30 acres of grassland, he will need 30 / 12 = 2.5 days: **Correct**
4. So, the total time he needs is 5.5 + 2.5 = 8 days: ... | 6,620 | 9 | 8 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Step 1:**
Solution: Alex gets $500 a week. 10% of this amount as tax is 10% of $500 = $50.
Expected Answer: Alex gets paid $500 a week. He pays 10% as tax. 10% of $500 is 0.1 * $500 = $50.
**Verification:** This step is correct.
**Step 2:**
Solution: He also pays $55 for water and gives away another 10% of his $500 ... | 6,745 | 4 | 345 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification**
Step 1: Cost of movie ticket = $5
This step is correct.
Step 2: Cost of popcorn = 80% of ticket cost = $5 * 80% = $4
This step is correct.
Step 3: Cost of soda = 50% of popcorn cost = $4 * 50% = $2
This step is correct.
Step 4: Cost of 4 tickets = 4 * $5 = $20
This step is correct.
Step 5: Cost of... | 5,533 | 2 | 36 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
**Step 1:**
Ms. Jones got thank you cards from 30% of her class.
Expected Answer: Ms. Jones got cards from 30% of her class, or 30/100.
Verification: Yes
**Step 2:**
Number of students who sent $10 gift cards = 1/3 of those who sent thank you cards
Expected Answer: This means 30/100 * 1/3 o... | 858 | 35 | 50 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: "2450 sheets were divided equally into 5 binders." - Correct
Step 2: "This means each binder got 2450 / 5 = 490 sheets." - Correct
Step 3: "Justine took one binder and colored on one-half of the sheets." - Correct
Step 4: "This means Justine used one-half of 490 = 245 sheets." - C... | 2,667 | 2 | 245 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification**
Step 1: Samuel received 3/4 of the $240.
Expected Answer: Samuel received 3 * $240 / 4 = $180.
--> This step is correct.
Step 2: Then he spent 1/5 of the original $240 on drinks.
Expected Answer: He spent 1 * $240 / 5 = $48 on drinks.
--> This step is correct.
Step 3: Subtracting this amoun... | 4,152 | 5 | 132 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Verification of Solution:**
1. Shaun got 5 times as many votes as Randy, which is 5 * 16 = 80 votes.
**Expected Answer:** Shaun got 5 times as many votes as Randy. Randy got 16 votes, so Shaun got 16 * 5 = 80 votes.
**Verification:** Yes
2. Eliot got twice as many votes as Shaun, that is 2 * 80 = 160 votes.
**Expec... | 3,377 | 4 | 160 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: The truck fills 20 cans of 8 gallons each to three quarters of their capacity in three hours. (Correct)
Step 2: The total amount of water required to fill the cans completely is 8 * 20 * 3 / 4 = 120 gallons. (Correct)
Step 3: The truck needs to fill a total of 25 * 8 = 200 gallons.... | 1,224 | 31 | 5 |
Solve the math problems and provide step-by-step solutions, ending with "The answer is [Insert Final Answer Here]".
When asked "Verification: Is the answer correct (Yes/No)?", respond with " Yes" or " No" based on the answer's correctness.
When asked "Verification: Let's verify step by step.", verify every step of the ... | **Solution Verification:**
Step 1: John travels 15 miles. (Correct)
Step 2: Jill travels 5 miles less than John, so Jill travels 15 - 5 = 10 miles. (Correct)
Step 3: Jim travels 20% as far as Jill. So, Jim travels 10 * 20 / 100 = 2 miles. (Correct)
The answer is 2. (Correct)
**Expected Answer:**
John travels 15 m... | 2,341 | 12 | 2 |
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