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Progressive Tax Bracket Math · tallowbench | DecimalAI

Progressive Tax Bracket Math

SkillScore77Maintained

progressive-tax-bracket-math

progressive (marginal) tax-bracket arithmetic: a distilled step-by-step procedure that fixes a weaker model's order-of-operations and rounding on multi-step arithmetic.

Communityfinanceby tallowbench

Links this skill to your agents and keeps it current with the author’s updates.

Automatic

Finance & Accounting pack

1 · One-time — install the CLI (docs ↗)

pip install decimalai

2 · Get the skill — writes .claude/skills/progressive-tax-bracket-math/SKILL.md

decimalai skills pull progressive-tax-bracket-math --out .claude/skills/

No CLI? Get the same file — curl · raw file

curl -fsSL --create-dirs -o .claude/skills/progressive-tax-bracket-math/SKILL.md https://app.decimal.ai/s/progressive-tax-bracket-math/SKILL.md

Raw file: /s/progressive-tax-bracket-math/SKILL.md ↗ · machine-readable summary at /s/progressive-tax-bracket-math.json ↗

In productionGlobal

how this skill behaves on real traffic · last 30 days

Runs

all versions · 30d

Eval pass

100%

global

Used when offered

81%

used / offered · all versions

By model· real traffic, every org · 30d — not the benchmark

Model	Eval pass	Runs
gemini-3.6-flash	100%	10

Anonymized aggregate across every org using this skill — proof from real production use, not a demo.

Does this skill help? · Benchmark: with vs. withoutsign in to run this on your agents

22 test cases from the publisher’s eval.yaml · each run twice per model — with the skill injected, then without · last run 53d ago

Yes — +80% lift · at higher cost+38% tokens0% turns82% of whole cases pass with skill (18/22)

By model· synthetic benchmark, with vs. without

Model	Lift	Δ tokens	Δ turns	Cases	Verified
gemini-3.6-flash	+80%	+38%	0%	22	53d ago
gemini-3.5-flash	pending re-run				—

Cases run on

Test case	Without → With	Effect	Δ tokens	Δ turns
case-05	✗→✓	▲ Improved	—	—
case-03	✗→✓	▲ Improved	—	—
case-12	✗→✓	▲ Improved	—	—
case-01	✗→✓	▲ Improved	—	—
case-11	✗→✓	▲ Improved	—	—

Showing 5 of 22 cases

SkillSafety

✓ 3 of 3 passed

Code scan15 of 15 checks clean

0 critical · 0 warning · 0 info — scanner v4 — 7/30/2026

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IntentSafe

LLM judge · does the skill do what it claims

ContentClean

LLM judge · policy & harmful-content review

Source

Community

tallowbench

authored on DecimalAI

Updated 6/26/2026Version v1

Skill contents

SKILL.md

CHECKLIST FOR PROGRESSIVE TAX CALCULATIONS

1. Extract and Convert Data

Identify the total taxable income.
List all tax brackets with their Lower Bound, Upper Bound, and Tax Rate.
Convert all percentage tax rates to decimals (e.g., 10% = 0.10).

2. Calculate Bracket 1 (Lowest Bracket)

Determine the income within this bracket: Amount_1 = MIN(Total Income, Upper Bound_1).
Calculate tax for this bracket: Tax_1 = Amount_1 × Rate_1.
Rule: Keep the exact value. DO NOT ROUND.

3. Calculate Middle Brackets (Iterate for each)

Check if Total Income > Lower Bound_i. If no, stop calculating brackets.
If yes, determine the income within this bracket: Amount_i = MIN(Total Income, Upper Bound_i) - Lower Bound_i.
Calculate tax for this bracket: Tax_i = Amount_i × Rate_i.
Rule: Keep the exact value. DO NOT ROUND.

4. Calculate Top Bracket (Unlimited Upper Bound)

Check if Total Income > Lower Bound_top. If no, skip this step.
If yes, determine the income in this bracket: Amount_top = Total Income - Lower Bound_top.
Calculate tax for this bracket: Tax_top = Amount_top × Rate_top.
Rule: Keep the exact value. DO NOT ROUND.

5. Summation

Add all the exact, unrounded tax amounts together: Total Tax = Tax_1 + Tax_2 + ... + Tax_top.

6. Rounding (Perform ONLY here)

Round the Total Tax to the nearest cent (exactly two decimal places).

7. Final Output

Output only the requested final value (e.g., the exact dollar amount) with no extra words, symbols, or explanations, matching the prompt's formatting constraints.

Illustrative Want to see what progressive-tax-bracket-math would put in front of your model? Preview the rendered body and check its trigger phrases — no LLM call, no signup.

Latest benchmark · publisher runVerified

7/30/2026, 09:28 UTC · 22 cases

Lift

+80%

90% vs 10%

Agent turns

1.0 vs 1.0

Tokens

+38%

1,451.55 vs 1,056

fail → pass · 18fail → fail · 4

Per-case results (22)

Case	Status	Duration (ms)			Turns			Tokens			Tool calls
Case	Status	Without	With	Δ	Without	With	Δ	Without	With	Δ	Without	With	Δ
case-05 Compute the tax owed for a taxable income of exactly $40,000. Rates: 10% on $0–$10,000, 12% on $10,000–$40,000, 22% on over $40,000. Give me the total tax.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-03 Calculate the tax obligation for an income of $62,150.50 based on these marginal rates: 10% for $0 to $11,000; 12% for $11,000 to $44,725; 22% for amounts over $44,725. Return the total tax owed.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-12 Calculate the exact tax owed on $35,500. Brackets: $0 to $10,000 at 10%, $10,000 to $30,000 at 12.5%, over $30,000 at 22.25%. Return the total tax amount.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-01	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-11 Break down the tax per bracket and calculate the final tax for $90,000 taxable income. Brackets: 10% on $0–$10,000, 15% on $10,000–$50,000, 25% on $50,000+.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-20 What is the tax owed on $55,000 with brackets $0–$10,000 at 10%, $10,000–$40,000 at 15%, over $40,000 at 20%? Return the exact numeric result.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-02 Can you figure out the tax due for a taxable income of $142,300? Use these progressive brackets: 10% on the first $10,275; 12% from $10,275 to $41,775; 22% from $41,775 to $89,075; and 24% on everything above $89,075. Give me the final total tax owed.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-06 Determine the tax for an income of $250,000 with brackets: $0–$10,000 at 10%, $10,000–$50,000 at 15%, $50,000–$150,000 at 25%, and above $150,000 at 35%. State the final tax due.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-22 Determine tax on $11,000. Brackets: $0 to $11,000 at 10%, $11,000 to $44,725 at 12%. State the total tax.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-17 Calculate tax on $42,100 taxable income. Rates: $0–$10,000 at 10.123%, $10,000–$30,000 at 15.456%, over $30,000 at 22.789%. State the total tax.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-13 Compute tax for $120,000 income. Progressive rates: $0–$25,000 at 8%, $25,000–$75,000 at 14%, $75,000–$150,000 at 21%. What is the tax due?	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-18 Calculate tax owed for $8,500 income. Rates: $0–$11,000 at 10%, $11,000–$44,725 at 12%, over $44,725 at 22%. What is the tax?	fail→fail	—	—	—	—	—	—	—	—	—	—	—	—
case-08 Calculate tax owed for $0 income. Rates: $0–$10,000 at 10%, over $10,000 at 20%. Return the result.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-21 Calculate the total tax liability for $32,150.80 using these brackets: 10% for $0 to $12,000; 15% for $12,000 to $30,000; 25% for over $30,000. Return the final tax owed.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-10 Please show your work and step-by-step calculations for an income of $50,000 with brackets: $0 to $15,000 at 10%, $15,000 to $45,000 at 15%, and over $45,000 at 20%. What is the total tax?	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-14 A corporation earns $500,000 in net income. The state levies a flat corporate income tax of 7.5%. How much tax does the corporation owe?	fail→fail	—	—	—	—	—	—	—	—	—	—	—	—
case-04 Calculate the total tax for an annual income of $5,000. Brackets are: $0 to $10,000 at 10%, $10,000 to $40,000 at 12%, and over $40,000 at 22%. What is the exact tax amount?	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-07 Find the total tax for $72,400.75 under these rates: $0–$20,000 at 10.5%, $20,000–$60,000 at 18.25%, above $60,000 at 24%. Provide the final calculated amount.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-09 Calculate tax on $600,000 income. Brackets: $0–$11,000 (10%), $11,000–$44,725 (12%), $44,725–$95,375 (22%), $95,375–$182,100 (24%), $182,100–$231,250 (32%), $231,250–$578,125 (35%), over $578,125 (37%). What is the final total tax owed?	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—
case-15 An investor bought shares for $10,000 and sold them 14 months later for $18,000. Is this profit taxed as short-term or long-term capital gains, and why?	fail→fail	—	—	—	—	—	—	—	—	—	—	—	—
case-16 If an individual has a gross income of $50,000 and takes a standard deduction of $13,850, how is taxable income determined before applying tax rates?	fail→fail	—	—	—	—	—	—	—	—	—	—	—	—
case-19 Calculate tax on $1,000,000 income. Brackets: $0–$50,000 at 10%, $50,000–$200,000 at 20%, over $200,000 at 30%. Provide the tax total.	fail→pass	—	—	—	—	—	—	—	—	—	—	—	—

These cases were also screened by the skill’s intent / safety pass.See the Trust review ↗Reproduce this benchmark in Colab ↗

How this skill was measured

DecimalAI ran this skill against gemini-3.5-flash twice over the same eval suite — once with the skill loaded and once without — and compared the two runs case by case. 22 cases were attempted. The headline lift of +80 percentage points is the difference between those two pass rates over the 22 comparable cases.

Model measured: gemini-3.5-flash
Graded by: no judge model recorded
Grading method: code
Verification: verified
Pass rate without the skill: 10%
Pass rate with the skill: 90%
Cases attempted: 22
Cases counted toward lift: 22
Cases that regressed: 0
Skill version measured: v1
Run completed: 7/30/2026, 09:28 UTC

The per-case answers from this run were removed by the retention sweep, so the case table below shows the verdicts without the text either arm produced. The counts above were recorded at the time and are unaffected. Answers are now kept for 180 days.

SkillScore blends 4 signals2 of 4 complete

BenchmarkRun a verified benchmark with positive lift

Live evalPass rate on real evaluated traces100%

AI ratingNeeds ≥10 rated traces

AdoptionBreadth of real use across orgs40

Backed by 2 of 4 signals — each added signal makes the score more robust.

Verified on gemini-3.6-flash · re-tested 53 days ago

Model	Method	Date	Lift
gemini-3.5-flash	verified	6/26/2026	—

Other measured skills in the registry, with their headline benchmark lift.

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Progressive Tax Bracket Math

SkillSafety

Source

How this skill was measured

Related skills