Part of Best LLM for Math & Reasoning
Best LLM for Logic & Problem Solving
Gemini 4 Argon ranks first for Logic & Problem Solving as of October 20, 2026.[1][2] It ranks #1 of 148 on LMArena's maths category (Elo 1536), based on blind human preference votes for maths prompts. Gemini 3.8 Flash is the next-ranked alternative. It scores 81.41% on LiveBench Instruction Following (#1 of 59), including paraphrasing, simplifying, story generation, and summarization.
About this recommendation
- Updated
- Evidence through
- Sources
- 11
- Revision
- v108
Decision audit
Why this result
Inspect the inputs and the computed order behind the recommendation.
Models screened
24
live candidates
Evaluation feeds
5
task-weighted
Winner coverage
55%
intended feed weight
Largest provider share
3 of 8
Google: Gemini 4 Argon leads the measured task comparison with 2 independent evaluation families. Community volume, release age and usage popularity add no ranking points.
Real-world track record is still developing. The recommendation can lead on independent measurements while practitioner reports accumulate.
Sources evaluated
These are the weights used in scoring. Missing measurements are omitted from each model’s average. A feed with no result for any model released in the last 60 days is stale and does not score until it catches up.
| Evaluation feed | Weight | Winner result | Field measured |
|---|---|---|---|
| LiveBench Reasoningfailing; last successful check 2026-10-18 | 32% | not measured | 18/24 |
| LMArena Instruction FollowingObserved 2026-10-15 · evaluation date not supplied · high effort | 23% | #1 | 24/24 |
| GPQA Diamond (Epoch AI)Observed 2026-10-13 · evaluated 2026-10-13 · high effort · standard error 1.20 | 18% | #1 | 21/24 |
| LiveBench Instruction Followingfailing; last successful check 2026-10-18 | 14% | not measured | 18/24 |
| LMArena MathObserved 2026-10-15 · evaluation date not supplied · high effort | 14% | #1 | 24/24 |
Provider concentration
Each exact model is scored separately; provider identity is not a ranking input.
- Google3 models
- Anthropic2 models
- OpenAI2 models
- Meta1 model
Decision table
Every published model is shown in computed order. Practitioner sources are distinct community threads, not the citations repeated in the prose below.
Google · coverage 55%
#1 GPQA Diamond (Epoch AI) · #1 LMArena Instruction Following
Google · coverage 100%
#1 LiveBench Instruction Following · #4 GPQA Diamond (Epoch AI)
Anthropic · coverage 82%
#3 LMArena Math · #4 LiveBench Reasoning
OpenAI · coverage 100%
#1 LiveBench Reasoning · #2 GPQA Diamond (Epoch AI)
OpenAI · coverage 100%
#2 LiveBench Reasoning · #4 GPQA Diamond (Epoch AI)
Google · coverage 100%
#2 LiveBench Instruction Following · #6 GPQA Diamond (Epoch AI)
Anthropic · coverage 100%
#1 LMArena Instruction Following · #3 LiveBench Reasoning
Meta · coverage 82%
#4 LiveBench Instruction Following · #12 LiveBench Reasoning
Task score averages the available, task-weighted measurements. Benchmark positions compare models matched to our catalog. Models measured by at least two independent evaluator families are considered first. Missing tests, practitioner report counts, popularity and release age add no points. Coverage describes evidence breadth, not a probability of correctness. Scores within two points are shown as close under this policy; this is not a statistical confidence interval. When the leading scores are that close, the model measured by more evaluator families ranks first.
- 01
Gemini 4 ArgonGoogle · $2 in / $10 out per M tokens · 1.0M context
Gemini 4 Argon ranks #1 of 148 on LMArena's maths category (Elo 1536), based on blind human preference votes for maths prompts.
Best when: Its strongest result for this task is on LMArena Math, which measures math answers people prefer in blind comparison.No practitioner reports are linked yet, so no cautions are listed. Absence of reports is not evidence of reliability.
- 02
Gemini 3.8 FlashGoogle · $0.83 in / $4.13 out per M tokens · 1.0M context
Gemini 3.8 Flash scores 81.41% on LiveBench Instruction Following (#1 of 59), including paraphrasing, simplifying, story generation, and summarization.
Best when: Its strongest result for this task is on LiveBench Instruction Following, which measures following detailed instructions exactly. - 03
Claude Fable 5.1Anthropic · $10 in / $50 out per M tokens · 1M context
Claude Fable 5.1 ranks #3 of 148 on LMArena's maths category (Elo 1528), based on blind human preference votes for maths prompts.
Best when: Its strongest result for this task is on LMArena Math, which measures math answers people prefer in blind comparison.No practitioner reports are linked yet, so no cautions are listed. Absence of reports is not evidence of reliability.
- 04
GPT-6 AstraOpenAI · $10 in / $50 out per M tokens · 1.1M context
GPT-6 Astra tops LiveBench Reasoning at 92.65% and ranks #2 on GPQA Diamond, though it underperforms on human preference metrics for maths and instruction-following.
Best when: Choose for objective reasoning benchmarks where it scores 92.65% on LiveBench Reasoning, #1 of 59.More tips
- Use for graduate science questions where it scored 95.8% on GPQA Diamond, #2 of 113.
Watch out for
- Expect weaker human preference performance on maths tasks, ranking #40 of 148 with Elo 1465.
- Anticipate lower instruction-following appeal, ranking #35 of 152 with Elo 1455.
- 05
GPT-6.1 SolOpenAI · $2 in / $10 out per M tokens · 1.1M context
GPT-6.1 Sol scores 92.63% on LiveBench Reasoning (#2 of 59), an objective, ground-truth-scored evaluation refreshed with new questions.
Best when: Its strongest result for this task is on LiveBench Reasoning, which measures multi-step reasoning.No practitioner reports are linked yet, so no cautions are listed. Absence of reports is not evidence of reliability.
- 06
Gemini 3.7 FlashGoogle · $0.75 in / $3.75 out per M tokens · 1.0M context
Gemini 3.7 Flash scores 79.93% on LiveBench Instruction Following (#2 of 59), including paraphrasing, simplifying, story generation, and summarization.
Best when: Its strongest result for this task is on LiveBench Instruction Following, which measures following detailed instructions exactly.No practitioner reports are linked yet, so no cautions are listed. Absence of reports is not evidence of reliability.
- 07
Claude Opus 5.5Anthropic · $4 in / $20 out per M tokens · 1M context
Claude Opus 5.5 ranks #1 of 152 on LMArena's instruction-following category (Elo 1536), based on blind human preference votes.
Best when: Its strongest result for this task is on LMArena Instruction Following, which measures following instructions as people judge them.No practitioner reports are linked yet, so no cautions are listed. Absence of reports is not evidence of reliability.
- 08
Muse Spark 1.3Meta · $1.25 in / $4.25 out per M tokens · 1.0M context
Muse Spark 1.3 scores 78% on LiveBench Instruction Following (#4 of 59), including paraphrasing, simplifying, story generation, and summarization.
Best when: Its strongest result for this task is on LiveBench Instruction Following, which measures following detailed instructions exactly.
Frequently asked
- What is the best model for Logic & Problem Solving?
- Gemini 4 Argon ranks first as of October 20, 2026. Gemini 4 Argon ranks #1 of 148 on LMArena's maths category (Elo 1536), based on blind human preference votes for maths prompts.[1]
- What is the best alternative to Gemini 4 Argon?
- Gemini 3.8 Flash ranks second. Gemini 3.8 Flash scores 81.41% on LiveBench Instruction Following (#1 of 59), including paraphrasing, simplifying, story generation, and summarization.[2]
Sources
- 1
“Within the 148 catalog models matched to this evaluation: Ranks #1 of 148 on LMArena's maths category (Elo 1536), based on blind human preference votes for maths prompts.”
LMArena maths category · Benchmark · Oct 15, 2026 - 2
“Within the 59 catalog models matched to this evaluation: Scores 81.41% on LiveBench Instruction Following (#1 of 59), including paraphrasing, simplifying, story generation, and summarization.”
LiveBench Instruction Following · Benchmark · Oct 18, 2026 - 3
“Within the 148 catalog models matched to this evaluation: Ranks #3 of 148 on LMArena's maths category (Elo 1528), based on blind human preference votes for maths prompts.”
LMArena maths category · Benchmark · Oct 15, 2026 - 4
“Within the 59 catalog models matched to this evaluation: Scores 92.65% on LiveBench Reasoning (#1 of 59), an objective, ground-truth-scored evaluation refreshed with new questions.”
LiveBench Reasoning · Benchmark · Oct 18, 2026 - 5
“Within the 113 catalog models matched to this evaluation: Scores 95.8% on GPQA Diamond in Epoch AI's independent run (#2 of 113), graduate-level science questions.”
GPQA Diamond (Epoch AI) · Benchmark · Aug 30, 2026 - 6
“Within the 148 catalog models matched to this evaluation: Ranks #40 of 148 on LMArena's maths category (Elo 1465), based on blind human preference votes for maths prompts.”
LMArena maths category · Benchmark · Oct 15, 2026 - 7
“Within the 152 catalog models matched to this evaluation: Ranks #35 of 152 on LMArena's instruction-following category (Elo 1455), based on blind human preference votes.”
LMArena instruction-following category · Benchmark · Oct 15, 2026 - 8
“Within the 59 catalog models matched to this evaluation: Scores 92.63% on LiveBench Reasoning (#2 of 59), an objective, ground-truth-scored evaluation refreshed with new questions.”
LiveBench Reasoning · Benchmark · Oct 18, 2026 - 9
“Within the 59 catalog models matched to this evaluation: Scores 79.93% on LiveBench Instruction Following (#2 of 59), including paraphrasing, simplifying, story generation, and summarization.”
LiveBench Instruction Following · Benchmark · Oct 18, 2026 - 10
“Within the 152 catalog models matched to this evaluation: Ranks #1 of 152 on LMArena's instruction-following category (Elo 1536), based on blind human preference votes.”
LMArena instruction-following category · Benchmark · Oct 15, 2026 - 11
“Within the 59 catalog models matched to this evaluation: Scores 78% on LiveBench Instruction Following (#4 of 59), including paraphrasing, simplifying, story generation, and summarization.”
LiveBench Instruction Following · Benchmark · Oct 18, 2026
Rankings synthesized from community evidence and open benchmarks. See methodology. Not driven by vendor marketing.