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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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