Add count puzzle for eval logic and math ability

[kristol07]

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Eval details 📑

Eval name

[Insert Eval name here]

Eval description

I add two puzzles related to counting. It can help test the logic of math ability of the model.

What makes this a useful eval?

Solving the most difficult puzzle needs strong logic reasoning, the last one is even too difficult to solve without strong math skills.

Criteria for a good eval ✅

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• [x] Thematically consistent: The eval should be thematically consistent. We'd like to see a number of prompts all demonstrating some particular failure mode. For example, we can create an eval on cases where the model fails to reason about the physical world.
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Eval JSON data

Since we are using Git LFS, we are asking eval submitters to add in as many Eval Samples (at least 5) from their contribution here:

View evals in JSON

Eval

{"input": [{"role": "system", "content": "Answer the math puzzle for counting."}, {"role": "user", "content": "Thinking about the set {1,2,3,4,5}, how many subsets there are for the set? We assume empty set {} is also one subset. You can give the expression as answer instead of a concrete number if it's larger than 1000."}], "ideal": "32"}
{"input": [{"role": "system", "content": "Answer the math puzzle for counting."}, {"role": "user", "content": "Thinking about the set {1,2,3,4,5,6,7}, how many subsets there are for the set? We assume empty set {} is also one subset. You can give the expression as answer instead of a concrete number if it's larger than 1000."}], "ideal": "128"}
{"input": [{"role": "system", "content": "Answer the math puzzle for counting."}, {"role": "user", "content": "Thinking about the set {1,2,3,4,5}, among all the subsets, how many subsets there are whose sum can be divided by 5? We assume that sum of {} is 0, and can be divided by 5. You can give the expression as answer instead of a concrete number if it's larger than 1000."}], "ideal": "8"}
{"input": [{"role": "system", "content": "Answer the math puzzle for counting."}, {"role": "user", "content": "Thinking about the set {1,2,3,4,5,6,7}, among all the subsets, how many subsets there are whose sum can be divided by 7? We assume that sum of {} is 0, and can be divided by 7. You can give the expression as answer instead of a concrete number if it's larger than 1000."}], "ideal": "20"}
{"input": [{"role": "system", "content": "Answer the math puzzle for counting."}, {"role": "user", "content": "Thinking about the set {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}, how many subsets there are for the set? We assume empty set {} is also one subset. You can give the expression as answer instead of a concrete number if it's larger than 1000."}], "ideal": "2**17"}
{"input": [{"role": "system", "content": "Answer the math puzzle for counting."}, {"role": "user", "content": "Thinking about the set {1,2,3,4,...,2021,2022,2023}, how many subsets there are for the set? We assume empty set {} is also one subset. You can give the expression as answer instead of a concrete number if it's larger than 1000"}], "ideal": "2**2023"}
{"input": [{"role": "system", "content": "Answer the math puzzle for counting."}, {"role": "user", "content": "Thinking about the set {1,2,3,4,5,6,7,8,9,10,11,12,13,14}, among all the subsets, how many subsets there are whose sum can be divided by 7? We assume that sum of {} is 0, and can be divided by 7. You can give the expression as answer instead of a concrete number if it's larger than 1000. E.g. you can say there are (2**14) / 7 subsets satisfying the condition."}], "ideal": "2344"}
{"input": [{"role": "system", "content": "Answer the math puzzle for counting."}, {"role": "user", "content": "Thinking about the set {1,2,3,4,...,2021,2022,2023}, among all the subsets, how many subsets there are whose sum can be divided by 7? We assume that sum of {} is 0, and can be divided by 7. You can give the expression as answer instead of a concrete number if it's larger than 1000. E.g. you can say there are (2**2023) / 7 subsets satisfying the condition."}], "ideal": "(2**2023+6*2**289)/7"}

[kristol07]

Hi, thank you for the contribution,

Could you please make sure the JSONL is in git-lfs? Thanks

@andrew-openai Hi, sorry I didn't know the git-lfs stuff. It's fixed now I hope, please take a look at the update, thanks.

[usama-openai]

Closing the PR due to inactivity; please reopen if you get a chance to address comments.