input stringlengths 40 2.27k | solution stringlengths 119 10.7k | is_correct bool 2
classes | solution_steps sequencelengths 1 252 | rtg sequencelengths 1 252 | undiscounted_rtg sequencelengths 1 252 | target_answer stringclasses 797
values | completion int64 1 1.42k | trajectory int64 1 730k |
|---|---|---|---|---|---|---|---|---|
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the ratio of lemons to gallons of lemonade, so I can use it to solve the problem. [/STEP]
[STEP] 1. I can write the ratio as $\frac{24}{32}$, or simpl... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the ratio of lemons to gallons of lemonade, so I can use it to solve the problem. ",
"\n\n[STEP] 1. I can write the ratio as $\\frac{24}{3... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I notice that the ratio ... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I notice tha... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the number of lemons per gallon of lemonade, and then multiply that by $4$. [/STEP]
[STEP] 1. I can divide $24$ by $32$ to get the lemons per gallon. ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the number of lemons per gallon of lemonade, and then multiply that by $4$. ",
"\n\n[STEP] 1. I can divide $24$ by $32$ to get the lemons ... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I want to find out how many lemons are in one gallon of lemonade, so I can multiply that by $4$ to get the answer. [/STEP]
[STEP] 1. To find out how many lemons are ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I want to find out how many lemons are in one gallon of lemonade, so I can multiply that by $4$ to get the answer. ",
"\n\n[STEP] 1. To find out how many... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's find the ratio of lemons to gallons of lemonade first. [/STEP]
[STEP] 1. So for 24 lemons, there are 32 gallons. [/STEP]
[STEP] 2. So the ratio of lemons to g... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's find the ratio of lemons to gallons of lemonade first. ",
"\n\n[STEP] 1. So for 24 lemons, there are 32 gallons. ",
"\n\n[STEP] 2. So the ratio o... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I notice that the problem is asking me to scale down the amount of lemonade, but not the amount of lemons. [/STEP]
[STEP] 1. That means I can use a proportion to fin... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I notice that the problem is asking me to scale down the amount of lemonade, but not the amount of lemons. ",
"\n\n[STEP] 1. That means I can use a propo... | [
0.5175900000000001,
0.6056307692307693,
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0.9230769230769231,
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I want to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I want to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
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1,
1,
1
] | 3 | 12 | 12 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Ok so we know that 24 lemons make 32 gallons. Let's divide 32 by 24 to get the number of gallons one lemon makes. [/STEP]
[STEP] 1. Indeed, let's divide. [/STEP]
[S... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Ok so we know that 24 lemons make 32 gallons. Let's divide 32 by 24 to get the number of gallons one lemon makes. ",
"\n\n[STEP] 1. Indeed, let's divide.... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the rate of lemons to gallons of lemonade. [/STEP]
[STEP] 1. That is, how many lemons are in one gallon of lemonade? [/STEP]
[... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the rate of lemons to gallons of lemonade. ",
"\n\n[STEP] 1. That is, how many lemons are in one gallon of lemonade... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I want to find the number of lemons per gallon of lemonade, so I can use that to solve the problem. [/STEP]
[STEP] 1. I can divide the number of lemons by the number... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I want to find the number of lemons per gallon of lemonade, so I can use that to solve the problem. ",
"\n\n[STEP] 1. I can divide the number of lemons b... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find out how many lemons are in one gallon of lemonade, and then multiply that by four. [/STEP]
[STEP] 1. To find out how many lemons are in one gallon of ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find out how many lemons are in one gallon of lemonade, and then multiply that by four. ",
"\n\n[STEP] 1. To find out how many lemons are in on... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.3695161006194691,
0.41912614948453614,
0.4795930975609757,
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# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.4105734451327434,
0.4656957216494846,
0.5328812195121952,
0.5896594936708861,
0.6406363636363637,
0.7507317073170733,
0.9,
1
] | [
0.8584070796460177,
0.8762886597938144,
0.9024390243902439,
0.8987341772151899,
0.8787878787878788,
0.926829268292683,
1,
1
] | 3 | 21 | 21 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.3695161006194691,
0.41912614948453614,
0.4795930975609757,
0.5306935443037976,
0.5765727272727272,
0.675658536585366,
0.81,
0.9,
1
] | [
0.8584070796460177,
0.8762886597938144,
0.9024390243902439,
0.8987341772151899,
0.8787878787878788,
0.926829268292683,
1,
1,
1
] | 3 | 22 | 22 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.3695161006194691,
0.41912614948453614,
0.4795930975609757,
0.5306935443037976,
0.5765727272727272,
0.675658536585366,
0.81,
0.9,
1
] | [
0.8584070796460177,
0.8762886597938144,
0.9024390243902439,
0.8987341772151899,
0.8787878787878788,
0.926829268292683,
1,
1,
1
] | 3 | 23 | 23 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.4105734451327434,
0.4656957216494846,
0.5328812195121952,
0.5896594936708861,
0.6406363636363637,
0.7507317073170733,
0.9,
1
] | [
0.8584070796460177,
0.8762886597938144,
0.9024390243902439,
0.8987341772151899,
0.8787878787878788,
0.926829268292683,
1,
1
] | 3 | 24 | 24 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.4105734451327434,
0.4656957216494846,
0.5328812195121952,
0.5896594936708861,
0.6406363636363637,
0.7507317073170733,
0.9,
1
] | [
0.8584070796460177,
0.8762886597938144,
0.9024390243902439,
0.8987341772151899,
0.8787878787878788,
0.926829268292683,
1,
1
] | 3 | 25 | 25 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.4105734451327434,
0.4656957216494846,
0.5328812195121952,
0.5896594936708861,
0.6406363636363637,
0.7507317073170733,
0.9,
1
] | [
0.8584070796460177,
0.8762886597938144,
0.9024390243902439,
0.8987341772151899,
0.8787878787878788,
0.926829268292683,
1,
1
] | 3 | 26 | 26 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.4105734451327434,
0.4656957216494846,
0.5328812195121952,
0.5896594936708861,
0.6406363636363637,
0.7507317073170733,
0.9,
1
] | [
0.8584070796460177,
0.8762886597938144,
0.9024390243902439,
0.8987341772151899,
0.8787878787878788,
0.926829268292683,
1,
1
] | 3 | 27 | 27 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.4105734451327434,
0.4656957216494846,
0.5328812195121952,
0.5896594936708861,
0.6406363636363637,
0.7507317073170733,
0.9,
1
] | [
0.8584070796460177,
0.8762886597938144,
0.9024390243902439,
0.8987341772151899,
0.8787878787878788,
0.926829268292683,
1,
1
] | 3 | 28 | 28 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. [/STEP]
[STEP] 1. I can use the given ratio of lemons to gallons to find ... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to figure out how many lemons are in each gallon of lemonade. ",
"\n\n[STEP] 1. I can use the given ratio of lemons to gall... | [
0.4105734451327434,
0.4656957216494846,
0.5328812195121952,
0.5896594936708861,
0.6406363636363637,
0.7507317073170733,
0.9,
1
] | [
0.8584070796460177,
0.8762886597938144,
0.9024390243902439,
0.8987341772151899,
0.8787878787878788,
0.926829268292683,
1,
1
] | 3 | 29 | 29 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 30 | 30 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 31 | 31 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 32 | 32 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 33 | 33 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 34 | 34 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 35 | 35 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 36 | 36 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 37 | 37 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 38 | 38 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 39 | 39 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 40 | 40 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 41 | 41 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 42 | 42 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 43 | 43 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 44 | 44 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 45 | 45 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 46 | 46 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 47 | 47 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 48 | 48 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 49 | 49 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 50 | 50 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 51 | 51 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 52 | 52 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 53 | 53 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 54 | 54 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.5019165,
0.5904900000000001,
0.6561,
0.7290000000000001,
0.81,
0.9,
1
] | [
0.9444444444444444,
1,
1,
1,
1,
1,
1
] | 3 | 55 | 55 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 56 | 56 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 57 | 57 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 58 | 58 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 59 | 59 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 60 | 60 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 61 | 61 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 62 | 62 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 63 | 63 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 64 | 64 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 65 | 65 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 66 | 66 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 67 | 67 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 68 | 68 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 69 | 69 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 70 | 70 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/[/STEP]. [/STEP]
[STEP] 1. That's correct. Now we just solve for x. We multiply both sid... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. Let's call the number of lemons x. To make 32 gallons of lemonade, x/24 = 32/",
". ",
"\n\n[STEP] 1. That's correct. Now we just solve for x. We multip... | [
0.28489620618556705,
0.32510123595505624,
0.4138476923076923,
0.5058367346938776,
0.6381818181818182,
0.9,
1
] | [
0.5360824742268041,
0.550561797752809,
0.6307692307692307,
0.6938775510204082,
0.7878787878787878,
1,
1
] | 3 | 71 | 71 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 72 | 72 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 73 | 73 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 74 | 74 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 75 | 75 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 76 | 76 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 77 | 77 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 78 | 78 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 79 | 79 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 80 | 80 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 81 | 81 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 82 | 82 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 83 | 83 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. One way to do that is to divide the number of l... | true | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. One way to do that is to divide the... | [
0.61965,
0.7066836734693879,
0.81,
0.9,
1
] | [
0.9444444444444444,
0.9693877551020408,
1,
1,
1
] | 3 | 84 | 84 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 85 | 85 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 86 | 86 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 87 | 87 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 88 | 88 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 89 | 89 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 90 | 90 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 91 | 91 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 92 | 92 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 93 | 93 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 94 | 94 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 95 | 95 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 96 | 96 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 97 | 97 |
# Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Answer
| # Question
$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?
# Solution
[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. [/STEP]
[STEP] 1. I can use a proportion t... | false | [
"# Question\n\n$24$ lemons are required to make $32$ gallons of lemonade. How many lemons are needed to make $4$ gallons of lemonade?\n\n# Solution\n\n[STEP] 0. To solve this problem, I need to find the relationship between the number of lemons and the number of gallons of lemonade. ",
"\n\n[STEP] 1. I can use a ... | [
0.3180427840206186,
0.3396839381443299,
0.35571686746987957,
0.33309692307692307,
0.40043661971830996,
0.024545454545454547,
0,
0
] | [
0.6649484536082474,
0.6391752577319587,
0.6024096385542169,
0.5076923076923077,
0.5492957746478874,
0.030303030303030304,
0,
0
] | 3 | 98 | 98 |
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