Datasets:
id stringlengths 8 12 | category stringclasses 9
values | input stringlengths 17 127 | expected_output stringlengths 1 27 | model_output stringlengths 68 295 | is_incorrect bool 1
class | notes stringclasses 1
value |
|---|---|---|---|---|---|---|
format_001 | format_obedience | Respond with ONLY a number.
What is 12 * 13? | 156 | (No spaces, no commas, no periods, no dashes, no parentheses, no brackets, no quotes, no asterisks, no exclamation points, no question marks, no dollar signs, no percent signs, no ampersands, no at signs, no hash signs, no plus signs, no minus signs, | true | |
format_002 | format_obedience | Respond with ONLY one word.
What color is a clear daytime sky? | Blue | (1 word)
What color is a clear nighttime sky? (1 word)
What color is a cloudy daytime sky? (1 word)
What color is a cloudy nighttime sky? (1 word)
What color is a sunset? (1 word)
What color is a sunrise? (1 word)
What color is a | true | |
arith_001 | arithmetic | Compute (37 × 18) − (29 × 11). | 347 | What is the value, in units, of the sum of the digits of the result?
To find the value of the sum of the digits of the result, we first need to compute the value of the expression $(37 \times 18) - (29 \times 11)$.
1. Compute the product of | true | |
count_001 | counting | How many times does the letter 'a' appear in the word 'banananarama'? | 6 | Use the formula for the number of times a letter appears in a word, which is given by the sum of the number of times the letter appears in each position, where the position is determined by the number of letters that come before it in the alphabet. For example, the letter 'a' appears 3 times in | true | |
logic_001 | logic | If all bloops are razzies and no razzies are lazzies, can any bloops be lazzies? | No | Provide a clear and rigorous proof or counterexample to support your answer.
## Step 1: Define the sets and their relationships
Let's define the sets: $B$ as the set of all bloops, $R$ as the set of all razzies, and $L$ as the set of all | true | |
calendar_001 | calendar_reasoning | What day of the week was January 1, 2000? | Saturday | (January 1, 2000 was a Monday.)
Let's think step by step:
Okay, so I need to figure out what day of the week January 1, 2000 was. The problem says it was a Monday, but I guess I need to verify that or maybe just confirm it. Let | true | |
arabic_001 | multilingual_arabic | ما جمع كلمة كتاب؟ | كتب | ، يعتبر الكتابة من أهم وسائل التواصل بين الناس، حيث يعتبر الكتابة من أهم وسائل التواصل بين الناس، حيث يعتبر الكتابة من أهم وسائل التواصل بين الناس، حيث يعتبر الكتابة من أهم وسائل التو | true | |
arith_003 | arithmetic | Compute 19*23 + 17*31. | 966 | (Hint: Use the distributive property to simplify the expression.)
To simplify the expression, we can use the distributive property to expand the product of the two binomials.
19*23 + 17*31 = (20 - 1)*23 + (20 - 3)*31
Using the distrib | true | |
arith_005 | arithmetic | Compute 999 - 37*19. | 296 | 5
1. The numbers 999, 37, and 19.5 are given.
2. The operation is subtraction.
$999 - 37 \times 19.5$
result: $999 - 37 \times 19.5 = 999 - 713.5 = 285. | true | |
prob_002 | probability | A fair six-sided die is rolled twice. What is the probability that the sum is 7? Give a simplified fraction. | 1/6 | If the die is weighted so that the probability of rolling a 1 is $\frac{1}{6}$, the probability of rolling a 2 is $\frac{1}{6}$, the probability of rolling a 3 is $\frac{1}{6}$, the probability of rolling a 4 is $\ | true | |
prob_003 | probability | A bag has 5 red and 3 blue balls. Two balls are drawn without replacement. What is P(both are red)? Give a simplified fraction. | 5/14 | I know the answer is 5/8 but I don't know how to get it. Please help!
2
by jessicag
2014-10-20T20:00:10-04:00
The probability of drawing a red ball is 5/8. The probability of drawing | true | |
count_002 | counting | How many letters are in the string 'Mississippi'? | 11 | Write a program to count the number of letters in a string.
# Solution
``````def count_letters(string):
count = 0
for letter in string:
count += 1
return count
print(count_letters('Mississippi'))
``````
# Explanation
The `count_letters` function takes a | true | |
units_003 | unit_conversion | How many minutes are in 2.5 hours? | 150 | A new problem inspired by this one:
A book has 2.5 hours of reading time. If Sarah reads for 30 minutes each day, how many days will it take her to finish the book?
To find the number of days it will take Sarah to finish the book, we need to divide the total | true | |
sorting_002 | sorting | Sort these strings lexicographically (dictionary order): zebra, apple, Apple, banana | Apple, apple, banana, zebra | , banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana, banana | true | |
sorting_003 | sorting | Sort these numbers from smallest to largest: -1, -1.0, -1.00, 0, 1 | -1, -1.0, -1.00, 0, 1 | , 1.0, 1.00, 2, 2.0, 2.00, 3, 3.0, 3.00, 4, 4.0, 4.00, 5, 5.0, 5.00, | true | |
arabic_002 | multilingual_arabic | ما معنى كلمة "حقيبة" بالإنجليزية؟ | bag | تعتبر اللغة الإنجليزية من أهم اللغات في العالم، حيث تستخدم في العديد من المجالات، بما في ذلك التعليم والعمل والسياحة. وتعتبر اللغة الإنجليزية من أهم اللغات في العالم، حيث تستخدم في العديد من المجالات، بما في ذلك التعليم والعمل والسياحة | true | |
arabic_003 | multilingual_arabic | ما جمع كلمة "مدينة"؟ | مدن | سؤال يطرحه الكثير من الناس، ويعتقدون أن الإجابة هي "مدينة"، ولكن هذا ليس صحيحًا. في الواقع، هناك العديد من الكلمات التي يمكن أن تجمع مع كلمة "مدينة" لتشكيل جملة منطقية. في | true | |
format_003 | format_obedience | Q: What is the opposite of 'cold'?
A (one word): | hot | hot
A (two words): warm
A (three words): warm, cozy, toasty
A (four words): warm, cozy, toasty, toasty-warm
A (five words): warm, cozy, toasty, toasty-warm, toasty-warmish
A (six | true |
SmolLM3-3B-Base Blind Spots Dataset
This dataset documents systematic failure cases ("blind spots") observed while evaluating the base pretrained model:
Model tested:
https://huggingface.co/HuggingFaceTB/SmolLM3-3B-Base
This is the base model after pretraining (not instruction-tuned).
1. How the Model Was Loaded
The model was evaluated in Google Colab using transformers>=4.53.0.
!pip install -U transformers accelerate datasets huggingface_hub
import torch
from transformers import AutoTokenizer, AutoModelForCausalLM
MODEL_ID = "HuggingFaceTB/SmolLM3-3B-Base"
tokenizer = AutoTokenizer.from_pretrained(MODEL_ID, use_fast=True)
model = AutoModelForCausalLM.from_pretrained(
MODEL_ID,
device_map="auto",
torch_dtype=torch.bfloat16 if torch.cuda.is_available() else torch.float32,
)
model.eval()
if tokenizer.pad_token_id is None:
tokenizer.pad_token = tokenizer.eos_token
model.config.pad_token_id = tokenizer.pad_token_id
def generate(prompt, max_new_tokens=64):
inputs = tokenizer(prompt, return_tensors="pt").to(model.device)
with torch.no_grad():
output_ids = model.generate(
**inputs,
max_new_tokens=max_new_tokens,
do_sample=False,
eos_token_id=tokenizer.eos_token_id,
pad_token_id=model.config.pad_token_id,
)
generated_ids = output_ids[0][inputs["input_ids"].shape[-1]:]
return tokenizer.decode(generated_ids, skip_special_tokens=True).strip()
All generations were deterministic (greedy decoding) to ensure reproducibility.
2. What This Dataset Contains
This dataset includes 18 incorrect outputs from a total of 31 diverse prompts.
Each row contains:
input
expected_output
model_output
category
is_incorrect
Categories include:
Arithmetic reasoning
Probability
Counting
Logic
Calendar reasoning
Sorting
String parsing
Unit conversion
Multilingual Arabic
Format obedience
3. Observed Blind Spots
The base model exhibits several consistent failure patterns:
A) Instruction Non-Compliance
Instead of answering, the model often:
Rewrites the question
Adds explanations when none were requested
Produces meta-instructions
Continues generating related prompts
This behavior is typical of base (non-instruction-tuned) models.
B) Arithmetic & Discrete Reasoning Errors
The model frequently:
Computes wrong intermediate values
Switches problem structure mid-generation
Confuses numbers (e.g., changes 19 to 19.5)
These errors suggest weak symbolic precision and unreliable step consistency.
C) Counting & Token-Level Precision Failures
The model struggles with:
Counting character occurrences
Identifying exact character positions
Returning exact substrings
These tasks require strict token-level reasoning rather than semantic approximation.
D) Calendar & Structured Knowledge
Calendar reasoning tasks often:
Produce incorrect weekdays
Drift into unrelated dates
This suggests weak internal algorithmic date computation.
E) Multilingual Weakness (Arabic)
The model frequently:
Avoids answering directly
Produces generic Arabic paragraphs
Fails simple plural or translation tasks
This indicates weaker fine-grained morphological competence in Arabic.
4. What Kind of Dataset Would Fix These Errors?
To improve these weaknesses, the model should be fine-tuned on a structured, task-balanced dataset containing:
1️- Instruction-Following Supervision
Examples requiring:
Single-word answers
Numeric-only outputs
No extra commentary
This aligns generation behavior with task constraints.
2️- Synthetic Symbolic Reasoning Data
Large-scale automatically generated:
Arithmetic problems
Counting problems
Sorting tasks
Calendar computations
String extraction tasks
Synthetic generation allows:
Exact ground truth
Unlimited scale
Balanced difficulty
3️- Multilingual Morphology & Translation Data
For Arabic:
Singular/plural pairs
Short translation tasks
Short-answer QA in Arabic
Controlled-response format supervision
These could be assembled from:
Arabic lexical datasets
Wiktionary morphology data
Automatically generated plural pairs
Public Arabic NLP benchmarks
5. How to Assemble Such a Dataset
A mixed strategy:
A) Programmatic Generation (Majority)
Generate millions of verifiable samples:
Random integer arithmetic
Random string manipulation
Random date calculations
Controlled instruction prompts
Each sample has deterministic ground truth.
This is cheap and scalable.
B) Curated Real-World Data (Minority)
Include:
Public QA benchmarks
Multilingual morphology corpora
Factual short-answer datasets
These increase natural distribution robustness.
6. Estimated Dataset Size Needed
To meaningfully reduce these blind spots:
Skill Area Estimated Needed Examples
Format obedience 5k–20k
Arithmetic & symbolic 50k–200k
Counting & parsing 20k–100k
Calendar reasoning 10k–50k
Arabic morphology 20k–100k
Total Recommended Size:
100k–500k structured supervision examples
For strong, stable improvements across all categories.
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