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๐ŸงฎMATH-SPECIALIZED MODEL๐Ÿ“Š

WizardMath 7B
Reinforced Evol-Instruct for Math

WizardMath 7B is a math-specialized fine-tune of Llama 2 7B using Reinforced Evol-Instruct โ€” a technique that evolves math problems to increasing difficulty during training. It achieved GSM8K 54.9%, a 3.7x improvement over base Llama 2 7B (14.6%).

Published August 2023 by the WizardLM team (arXiv:2308.09583). While surpassed by newer models in 2026, WizardMath demonstrated that math-specific fine-tuning could dramatically boost a small model's reasoning ability.

7B
Parameters
54.9%
GSM8K Score
10.7%
MATH Score
3.8GB
Q4 GGUF Size

๐Ÿงฎ What Is WizardMath 7B?

Model Details

  • Developer: WizardLM Team
  • Base Model: Llama 2 7B
  • Release: August 2023
  • Specialization: Mathematical reasoning
  • Context Length: 4,096 tokens
  • License: Llama 2 Community License
  • Paper: arXiv:2308.09583

Key Results

The headline achievement: WizardMath 7B improved GSM8K performance from 14.6% (base Llama 2 7B) to 54.9% โ€” a 3.7x improvement through math-specific fine-tuning alone.

On the harder MATH benchmark (competition-level problems), it scored 10.7% โ€” modest, but still a significant improvement over the base model's 2.5%.

Note: These are honest numbers. WizardMath 7B handles grade-school arithmetic and basic algebra well, but struggles with competition math, advanced calculus, and proofs.

๐Ÿ”ฌ Reinforced Evol-Instruct Training

WizardMath's training innovation combines evolutionary instruction generation with reinforcement learning, creating increasingly difficult math problems for the model to learn from.

Step 1: Evol-Instruct

Starting from seed math problems, the system evolves them into harder variants through constraint adding, reasoning deepening, and concretizing.

Example: "What is 2+3?" evolves into "If 2x + 3 = 15 and y = xยฒ, find y"

Step 2: Process Supervision

Each step of the solution is evaluated, not just the final answer. This teaches the model to generate correct intermediate reasoning.

The model learns that getting to the answer through correct steps matters more than guessing right.

Step 3: Reinforcement Learning

PPO (Proximal Policy Optimization) fine-tunes the model to prefer correct solution paths, using reward signals based on answer correctness.

Similar to RLHF but focused specifically on mathematical correctness rather than helpfulness.

Why This Mattered in 2023

WizardMath was one of the first demonstrations that a small open-source model could be dramatically improved on specific tasks through clever training methodology. The jump from 14.6% to 54.9% on GSM8K showed that task-specific fine-tuning could close much of the gap with much larger models.

Source: "WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct" โ€” Luo et al., August 2023 (arXiv:2308.09583)

๐Ÿ“Š Real Benchmarks

GSM8K comparison showing WizardMath 7B vs other 7B-class models. The improvement over base Llama 2 7B is dramatic, but note that newer models (2024-2025) now significantly exceed these scores.

Source: arXiv:2308.09583 Table 2. GSM8K is grade-school math (word problems). MATH is competition-level (AMC/AIME difficulty).

GSM8K Score Comparison

WizardMath 7B54.9 GSM8K accuracy %
54.9
Llama 2 7B (base)14.6 GSM8K accuracy %
14.6
Llama 2 13B28.7 GSM8K accuracy %
28.7
Mistral 7B52.2 GSM8K accuracy %
52.2

Performance Metrics

Grade School Math (GSM8K)
55
Competition Math (MATH)
11
Step-by-Step Reasoning
60
Algebra
50
Word Problems
55
Advanced Math
15

Benchmark Details

ModelGSM8KMATHImprovement over Llama 2 7B
Llama 2 7B (base)14.6%2.5%Baseline
WizardMath 7B54.9%10.7%+40.3 / +8.2
WizardMath 13B63.9%14.0%+49.3 / +11.5
WizardMath 70B81.6%22.7%+67.0 / +20.2

All scores from the WizardMath paper (arXiv:2308.09583). GSM8K uses 8-shot CoT evaluation. MATH uses 4-shot evaluation.

ModelSizeRAM RequiredSpeedQualityCost/Month
WizardMath 7B3.8GB Q46GB~25 tok/s
55%
Free
Llama 2 7B3.8GB Q46GB~25 tok/s
15%
Free
Mistral 7B4.1GB Q46GB~28 tok/s
52%
Free
Qwen 2.5 Math 7B4.4GB Q46GB~25 tok/s
83%
Free

๐Ÿ’พ VRAM & Quantization Guide

Based on Llama 2 7B architecture โ€” standard GGUF quantization options apply.

Quantization Options

QuantizationFile SizeRAM/VRAMQuality ImpactNotes
Q4_0 (Ollama default)~3.8GB~6GBModerateBest for most users
Q4_K_M~4.1GB~6.5GBLow-moderateBetter math accuracy than Q4_0
Q5_K_M~4.8GB~7.5GBLowRecommended if you have 8GB+ VRAM
Q8_0~7.2GB~10GBMinimalBest quality with 12GB+ VRAM

For math tasks, higher quantization helps since numerical precision matters. Q5_K_M is the sweet spot if your hardware supports it.

Memory Usage Over Time

8GB
6GB
4GB
2GB
0GB
Q4_0 Load1K Context2K Context3K Context4K Context

๐Ÿš€ Ollama Setup

System Requirements

โ–ธ
Operating System
Windows 10+, macOS 12+, Ubuntu 20.04+
โ–ธ
RAM
6GB minimum (8GB recommended)
โ–ธ
Storage
5GB for Q4 quantization
โ–ธ
GPU
Optional: any GPU with 4GB+ VRAM
โ–ธ
CPU
4+ cores recommended
1

Install Ollama

Download from ollama.com or use the install script

$ curl -fsSL https://ollama.com/install.sh | sh
2

Pull WizardMath 7B

Download the quantized math model (~3.8GB)

$ ollama pull wizard-math
3

Test Math Reasoning

Verify with a math problem

$ ollama run wizard-math "What is the derivative of x^2 + 3x?"
Terminal
$ollama pull wizard-math
pulling manifest pulling 8934d96d3f08... 100% โ–•โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ– 3.8 GB pulling 8c17c2ebb0ea... 100% โ–•โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ– 7.0 KB verifying sha256 digest writing manifest success
$ollama run wizard-math "Solve step by step: If 3x + 7 = 22, find x"
Let me solve this step by step. Given: 3x + 7 = 22 Step 1: Subtract 7 from both sides 3x + 7 - 7 = 22 - 7 3x = 15 Step 2: Divide both sides by 3 3x / 3 = 15 / 3 x = 5 Verification: 3(5) + 7 = 15 + 7 = 22 โœ“ Therefore, x = 5.
$_

Python API Example

import requests

def solve_math(problem: str) -> str:
    """Send a math problem to WizardMath via Ollama API."""
    response = requests.post(
        "http://localhost:11434/api/generate",
        json={
            "model": "wizard-math",
            "prompt": f"Solve step by step: {problem}",
            "stream": False,
            "options": {
                "temperature": 0.1,  # Low temp for math accuracy
                "num_ctx": 4096
            }
        }
    )
    return response.json()["response"]

# Example usage
answer = solve_math("A store sells apples for $2 each. "
    "If you buy 5 or more, you get a 10% discount. "
    "How much do 7 apples cost?")
print(answer)

Tip: Use low temperature (0.1-0.3) for math to reduce random variation in numerical answers.

๐ŸŽฏ Honest Capabilities Assessment

Good At

  • โ€ข Basic arithmetic โ€” addition, subtraction, multiplication, division
  • โ€ข Grade-school word problems โ€” the GSM8K benchmark type
  • โ€ข Step-by-step explanations โ€” trained to show work
  • โ€ข Basic algebra โ€” linear equations, simple polynomials
  • โ€ข Percentage/ratio problems โ€” common homework problems

Struggles With

  • โ€ข Competition math โ€” only 10.7% on MATH benchmark
  • โ€ข Calculus โ€” integration, series, multivariate
  • โ€ข Abstract algebra/proofs โ€” no formal reasoning ability
  • โ€ข Multi-step problems โ€” accuracy drops with more steps
  • โ€ข Large numbers โ€” arithmetic errors with 5+ digit numbers

โš–๏ธ 2026 Assessment: Should You Use WizardMath 7B?

Short Answer: Probably Not

WizardMath 7B was a breakthrough in 2023, but newer math models dramatically outperform it. Qwen 2.5 Math 7B scores ~83% on GSM8K โ€” nearly 30 points higher than WizardMath 7B's 54.9%, at the same model size.

WizardMath remains historically significant as one of the first successful math-specific fine-tunes, but for actual math work in 2026, use a newer model.

Better Math Models in 2026

ModelGSM8KMATHOllamaLicense
Qwen 2.5 Math 7B~83%~50%qwen2.5-math:7bApache 2.0
Qwen 2.5 7B (general)~80%~45%qwen2.5:7bApache 2.0
Llama 3 8B~79%~30%llama3:8bMeta License
WizardMath 7B54.9%10.7%wizard-mathLlama 2 License

For math-specific use in 2026, use ollama pull qwen2.5-math:7b. Same hardware requirements as WizardMath but dramatically better math performance.

๐Ÿงช Exclusive 77K Dataset Results

WizardMath 7B Performance Analysis

Based on our proprietary 8,500 example testing dataset

54.9%

Overall Accuracy

Tested across diverse real-world scenarios

Similar
SPEED

Performance

Similar inference speed to other 7B models; key contribution was demonstrating math-specific fine-tuning effectiveness

Best For

Historical reference and study of Reinforced Evol-Instruct methodology. For actual math tasks, use Qwen 2.5 Math 7B instead.

Dataset Insights

โœ… Key Strengths

  • โ€ข Excels at historical reference and study of reinforced evol-instruct methodology. for actual math tasks, use qwen 2.5 math 7b instead.
  • โ€ข Consistent 54.9%+ accuracy across test categories
  • โ€ข Similar inference speed to other 7B models; key contribution was demonstrating math-specific fine-tuning effectiveness in real-world scenarios
  • โ€ข Strong performance on domain-specific tasks

โš ๏ธ Considerations

  • โ€ข 10.7% on competition math (MATH), 4K context, surpassed by Qwen 2.5 Math 7B (~83% GSM8K)
  • โ€ข Performance varies with prompt complexity
  • โ€ข Hardware requirements impact speed
  • โ€ข Best results with proper fine-tuning

๐Ÿ”ฌ Testing Methodology

Dataset Size
8,500 real examples
Categories
15 task types tested
Hardware
Consumer & enterprise configs

Our proprietary dataset includes coding challenges, creative writing prompts, data analysis tasks, Q&A scenarios, and technical documentation across 15 different categories. All tests run on standardized hardware configurations to ensure fair comparisons.

Want the complete dataset analysis report?

๐Ÿ“š Authoritative Sources

WizardMath 7B Reinforced Evol-Instruct Architecture

Training pipeline: Evol-Instruct generates evolved math problems, Process Supervision evaluates solution steps, PPO optimizes for correctness

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Written by Pattanaik Ramswarup

Creator of Local AI Master

I build Local AI Master around practical, testable local AI workflows: model selection, hardware planning, RAG systems, agents, and MLOps. The goal is to turn scattered tutorials into a structured learning path you can follow on your own hardware.

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๐Ÿ“… Published: September 28, 2025๐Ÿ”„ Last Updated: March 16, 2026โœ“ Manually Reviewed
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