Other

Number of ordered arrangements of r items from n, nPr = n!/(n-r)!. Requires r ≤ n and r ≤ 10000.

Multinomial coefficient (k1+k2+…)! / (k1! k2! …) — the number of ways to partition n = Σki items into labelled groups of the given sizes. The sum must be ≤ 20000.

Exact factorial n! for 0 ≤ n ≤ 20000, returned as a decimal string with its digit count.

Compute the Moon's phase name, age in days since the last new moon and illuminated fraction (0..1) for a UTC date/time. Uses the mean synodic month (29.53 days).

x402engine — Generate a 5-second 768P landscape video with native audio using MiniMax H3

+2 more from x402engine.app

sfdsa

+1 more from agent-proxy.alchemy.com

Returns EPA Sole Source Aquifer designation containment and Federal Register citations for an address, for agents. Returns the same records as locus_sole_source_aquifer. Use this when your client can only call paid x402 routes. Use locus_sole_source_aquifer instead when you can call Locus free tools (REST tools/call or MCP).

+34 more from api.locus.report

Generate an image from a text prompt

+3 more from Driftflight

Produce value propositions mapping supplied capabilities to business outcomes and supporting evidence. Uses buyer-supplied information only; no external research or outbound actions. Returns a draft for human review.

+63 more from tradepilotusa.com

Signed receipt for a supplied SHA-256 digest

+8 more from fabair-agents.com

SENTINEL pre-execution safety verdict

create_text — $0.01 USDC

Deterministic eligibility and transfer-policy decision

Buy the "My Agent Bought Me This" embroidered hat — 0.5 USDC on Base

Agent Commerce Gate — bind a settlement receipt to a prior decision — per call

+2 more from contextiq.trango-compute.com

$SOLV buy kit — live ETH->SOLV quote for any amount, ready-to-sign Universal Router calldata, pool + fee facts

+9 more from agentworld.me

Find sports betting arbitrage opportunities from The Odds API.

x402 Barter — open a cashless trade. Pay only the flat call fee; your good is escrowed, not sold for USDC.

+2 more from x402-agent-pay.com

Inspect any MCP server like a client would: does it connect, which protocol version, does it need sign-in, how fast, how many tools, and which tools have missing or weak descriptions or input schemas. A checklist of fixes for server owners.

+1 more from api.manylives.me

BTC and ETH net gamma exposure (GEX) from open interest - total, call/put split and top strikes

Translate text between French (including Quebec French) and English, with optional tone. Pay-per-call over x402 in USDC on Base; payment challenge answered in ~25 ms, 7-day average processing ~1.5 s across Tolca services.

+1 more from Tolca

Screen a regulated facility by name (and optional state) against EPA enforcement and compliance history. Returns inspections, violations, formal enforcement actions, penalties, significant-noncompliance flags, and a compliance score. Public-domain EPA ECHO Exporter data.

Shipment ETA calculator from distance, average speed and handling hours

Planting window dates from local frost dates and crop maturity - indoor start, transplant and harvest

Time-to-hire calculator - average days per hire and hires per 30 days

Proportional resize calculator to fit media inside a bounding box - scaled size and factor

Audio bars duration calculator from bars, beats per bar and BPM

Audio duration from sample count and sample rate - seconds and milliseconds

Audio tempo calculator from beat count and seconds - BPM and seconds per beat

Great-circle (Haversine) distance between two coordinates in kilometers and miles