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Bulk keyword difficulty

News search

Google Shopping product search API - search Google Shopping by keyword (US) and get ranked product offers across sellers. Live Google Shopping data: title, product URL, image, seller, price, currency, star rating, review count, Google product id and delivery info. Compare product prices across merchants. No matches returns empty results.

Binomial coefficient nCr = n!/(r!(n-r)!), the number of unordered r-subsets of n. Requires r ≤ n and min(r, n-r) ≤ 10000.

Get a domain's backlink profile and authority: DataForSEO domain rank, total backlinks, referring domains and main domains, referring pages, broken backlinks and spam score. For link analysis and competitor research. Unknown domain returns found=false.

Get a domain's backlink profile and authority: DataForSEO domain rank, total backlinks, referring domains and main domains, referring pages, broken backlinks and spam score. For link analysis and competitor research. Unknown domain returns found=false.

Organic search competitors

Find a domain's organic search competitors: rival domains ranking for the same Google keywords, each with the number of common keywords, average position, total ranked keywords and estimated organic traffic. For competitive SEO research. Empty results if none.

Get the Google organic keywords a domain already ranks for, each with its ranking position, ranking URL, monthly search volume, CPC, difficulty and search intent. For competitor and site SEO audits. Unknown domain returns empty results.

Keywords a domain ranks for

List the domains linking to a target, each with DataForSEO domain rank, number of backlinks, dofollow count, referring subdomains, broken backlinks, spam score and first/last seen dates. For backlink audits and link building. Unknown domain returns empty results.

List the domains linking to a target, each with DataForSEO domain rank, number of backlinks, dofollow count, referring subdomains, broken backlinks, spam score and first/last seen dates. For backlink audits and link building. Unknown domain returns empty results.

Domain SEO traffic overview

Estimate a domain's Google SEO footprint: total organic and paid keywords, estimated traffic (ETV), estimated traffic cost, and how many keywords rank in the top 3, top 10 and top 100. For quick domain SEO audits. Unknown domain returns found=false.

Keyword ideas & search volume

Discover related keyword ideas from a seed keyword, with Google monthly search volume, CPC, competition, keyword difficulty and search intent for each. For content planning and SEO research. No ideas returns empty results.

Get exact SEO metrics for a list of keywords you already have: Google monthly search volume, CPC, competition, keyword difficulty and search intent for each. For prioritising a keyword list. Unknown keywords are omitted.

Keyword metrics overview

Market & Brand Sentiment

Search Google's local business directory within a radius of a coordinate, filtered by category and/or a name query. Returns ranked businesses with name, category, star rating and review count, address, phone, website domain, place_id/CID and coordinates. Richer than a SERP local pack. No match → empty results.

Local business directory search

Get the SEO keyword difficulty score (0-100, how hard it is to rank in Google top 10) for up to 1000 keywords in a single call. For prioritising which keywords to target. Keywords with no data are omitted.

Google Trends search interest for up to 5 terms: a relative 0-100 popularity series over time, with per-keyword average and latest value. For content timing, seasonality and demand research. Optional location (default worldwide), timeframe (7d/30d/90d/12m/5y, default 12m) and type (web/news/youtube). found=false when no data.

Google Trends search interest

Live Amazon (US) product detail for an ASIN. Returns title, product URL, image, price range, discount, currency, star rating, review count, category path, availability and description. Unknown ASIN returns found=false.

Live Amazon (US) keyword product search. Returns ranked listings with ASIN, title, product URL, image, price range, currency, star rating, review count and Amazon's Choice / Best Seller flags. No matches returns empty results.

Live Amazon (US) offers for an ASIN: the buy-box winner plus third-party sellers, each with seller name, price, regular price, discount, condition (new/used), ships-from and seller rating. Ideal for buy-box tracking and price comparison. No offers returns empty results.

Look up a business's full Google Business Profile by name and location. Returns name, category, star rating and review count, address, phone, website, opening hours by day, Google place_id and CID, coordinates and claimed status. For place enrichment, store-hours and business lookups. Unknown business returns found=false.

Look up a business's full Google Business Profile by name and location. Returns name, category, star rating and review count, address, phone, website, opening hours by day, Google place_id and CID, coordinates and claimed status. For place enrichment, store-hours and business lookups. Unknown business returns found=false.

Local business & places search

Live Google local-finder (map places) results for a query, localised by location and language. Returns ranked places with title, address, website domain, phone, rating and review count.

Search autocomplete suggestions

Live Google autocomplete suggestions for a partial query, localised by location and language. Returns ranked suggestion strings with a relevance score.

Web search

Web search (SERP): live organic results for a query from Google (default) or Bing, localised by location and language. Returns ranked organic hits with title, URL, domain and snippet. For agent grounding, RAG and web lookup.

YouTube video search

Live YouTube video-search results for a query, localised by location and language. Returns ranked videos with title, URL, video id, channel, view count, publish date and duration.

Amazon product detail by ASIN

Amazon product search

Amazon offers & sellers by ASIN

Balance and activity for a Bitcoin address (base58 1…/3… or bech32 bc1…): confirmed balance (sats and BTC), total received and sent, confirmed transaction count, and unconfirmed/pending value and tx count from the mempool. On-chain ground truth an agent cannot compute locally.

Live recommended Bitcoin transaction fee rates (in sat/vB) for next-block, ~30-minute, ~1-hour, economy and minimum confirmation targets, straight from the mempool. Also estimates the total fee (in sats and BTC) for a transaction of the given virtual size, so an agent can pick a fee tier and know the cost before broadcasting.

Live snapshot of the Bitcoin mempool: number of unconfirmed transactions, total pending virtual size (bytes and MB), the current backlog in blocks, total fees pending (sats and BTC), the fee-rate histogram, and the current chain tip height. Lets an agent gauge network congestion and time a transaction.

Look up a Bitcoin transaction by txid: confirmation status, block height and time, fee (sats), effective fee rate (sat/vB), size, weight and virtual size, input and output counts, and total output value (sats and BTC). On-chain ground truth for verifying a payment.

Validate a Czech VAT (DIČ) number for a legal entity via ARES (Czech Ministry of Finance). Validity means the subject exists and is live in the VAT (DPH) register.

Look up a domain's RDAP registration data — registrar, status, creation/expiry/update dates, nameservers and DNSSEC. Unregistered domains return found:false.

Fetch a Wikidata entity by Q-id: label, description, aliases and its claims (property → values).

Decode a transaction into plain language: native ETH transfer, contract call (with decoded method name for common ERC-20/DEX functions like transfer, approve, swap, mint, multicall) or contract creation; ERC-20 and NFT (ERC-721) transfers it triggered (token, from, to, amount/tokenId from logs); gas spent in ETH; success/failed/pending; and a one-line summary. Reads live on-chain data with automatic endpoint fallback.

PDF Text Extraction

Fetch a URL and return its main article as clean HTML, Markdown and plain text.

Read a single XBRL financial concept for a company (by CIK or ticker) from its as-filed statements. Give the concept's XBRL tag (e.g. Revenues, NetIncomeLoss, Assets, EarningsPerShareDiluted) and optionally the taxonomy (default us-gaap, also dei). Returns the label and, per unit (USD, shares), recent datapoints with period end, value, fiscal year/period, form, filing date and accession. Bounded, as-reported output.

List a company's most recent EDGAR filings, identified by CIK or ticker. Optionally filter to a single form type (e.g. 10-K, 10-Q, 8-K, 4, S-1). Each filing includes its accession number, form type, filing and report dates, the primary document name, whether it carries XBRL, and a direct URL to the as-filed document. Also returns company name, tickers, exchanges and SIC industry code.

Validate a Finnish VAT (ALV) number via the PRH/YTJ open data API. Validity means the entity exists and holds a live entry in the Tax Administration VAT register.

Validate a French VAT (TVA) number via the government recherche-entreprises API. Validity means the SIREN exists and the company is administratively active.

Google Shopping product search API - search Google Shopping by keyword (US) and get ranked product offers across sellers. Live Google Shopping data: title, product URL, image, seller, price, currency, star rating, review count, Google product id and delivery info. Compare product prices across merchants. No matches returns empty results.

Google Image Search

Image search API - live Google Images results for a query, localised by location and language. Returns ranked images with title, direct image URL, source page URL and alt text. A google images / image search api for agents.

Validate a Latvian VAT (PVN) number via the State Revenue Service VAT-payers register on data.gov.lv. Validity means the number has a currently active entry in the register.

Resolve a stock ticker symbol or company name to its Central Index Key (CIK) - the identifier every other EDGAR endpoint keys on. Exact ticker matches rank first, then company-name prefix/substring matches. Returns each match's zero-padded CIK, numeric CIK, ticker and official company title.

Live crypto news headlines for a query (e.g. "bitcoin etf", "ethereum upgrade", "solana"), from Google News and localised by location/language. Returns ranked articles with title, URL, domain and, where available, source and publish time.

Resolve one NFT (contract + tokenId) into normalized metadata: name, description, image, attributes and token standard (ERC-721 or ERC-1155). Reads the on-chain tokenURI/uri, then fetches and normalizes the metadata document (ipfs/ar/http/data), rewriting ipfs image links to a gateway URL. Returns `found:false` for non-NFT contracts. Live reads with automatic endpoint fallback.

Validate a Norwegian VAT (MVA) number via the Brønnøysund Enhetsregisteret. Validity means the entity exists and is entered in the VAT register.

On-Page SEO Audit

On-page SEO audit API - crawl a single URL and return its on-page SEO health: overall score, title & meta description, H1, word count, internal/external link and image counts, load timing (LCP, TTI) and a list of detected issues (missing meta, broken status, not-https, images missing alt, slow load, …).

Page speed API - Google PageSpeed Insights (Lighthouse) performance audit for a URL on mobile or desktop. Returns the performance score plus lab Core Web Vitals (LCP, FCP, CLS, TBT, Speed Index, TTI) and, where available, real-user (CrUX) field data. Data source: Google PageSpeed Insights.

Page Speed & Core Web Vitals

Validate a Polish VAT (NIP) number via the Ministry of Finance VAT white list (Wykaz podatników VAT). Validity means the taxpayer's VAT status is active ("Czynny").

Current USD prices for one or more tokens by coin id (e.g. "coingecko:bitcoin", "ethereum:0xdAC17…"). Unknown ids are returned in `notFound`.

Reference exchange rates for a base currency against some or all supported currencies (latest or a historical date).

Convert latitude/longitude coordinates into the nearest structured address. Optionally set the preferred result language.

Scholarly search API - academic papers and research articles for a query, powered by OpenAlex. Returns ranked works with title, authors, year, venue, DOI, citation count and open-access status. A google-scholar-style research / scholarly articles search for agents. Data source: OpenAlex (CC0).

Scholarly search API - academic papers and research articles for a query, powered by OpenAlex. Returns ranked works with title, authors, year, venue, DOI, citation count and open-access status. A google-scholar-style research / scholarly articles search for agents. Data source: OpenAlex (CC0).

Crypto Fear & Greed index (0–100, with classification). Optionally include a short historical `series`.

Fetch a URL and pull out its machine-readable structured data: all JSON-LD blocks (schema.org), Open Graph and Twitter Card tags, standard named meta tags, and inline microdata items. Also returns the page title, canonical URL, language and the distinct schema.org types found. Ideal for turning a product, article, recipe, event or organization page into structured fields without bespoke scraping.

Deterministic risk screen of an ERC-20 token from on-chain bytecode and metadata, no third-party risk API. Flags privileged or abuse capabilities: blacklist/freeze, owner mint, pausable transfers, upgradeable proxy and a privileged owner, plus tokens missing symbol/decimals or code. Returns each flag with a severity, a 0-100 score and a verdict. Reads live on-chain data with automatic endpoint fallback.

Total value locked (USD) for a DeFi protocol (e.g. "aave") or a whole chain (e.g. "Ethereum"). Provide exactly one of `protocol` or `chain`.

Fetch a URL and return link-preview metadata from Open Graph, Twitter Card and standard meta tags.

Parse an A1-style cell reference (e.g. "B3" or "$AA$100") into 1-based row and column numbers, plus the column letters and whether each part is absolute.

Score how likely a URL is to be phishing or untrustworthy using offline lexical and structural heuristics (no network lookups). Checks raw-IP hosts, embedded credentials, punycode/homoglyph labels, brand typosquatting, brand-in-subdomain, abused TLDs, shorteners, random hostnames, odd ports, plaintext http and executable paths. Returns a 0-100 risk score, a verdict and the reasons.

Balance an equation such as "H2 + O2 -> H2O" into the smallest whole-number coefficients using exact rational linear algebra. Equations that cannot be balanced with positive coefficients are clean 400s.

Render a barcode (Code128, Code39, EAN-13/8, UPC-A/E, ITF-14, DataMatrix, PDF417) as SVG or PNG data URL.

Validate a BIC/SWIFT code and decompose it into bank, country, location and branch codes.

Binomial distribution with `trials` (n ≥ 0, ≤ 1e6) and success `probability` (0..1). `function` selects the mass (pmf), cumulative distribution (cdf) or quantile / inverse-CDF.

Parse a document (in any format) and re-emit it in the RFC 8785 JSON Canonicalization Scheme form — sorted keys, canonical number/string formatting — plus the SHA-256 of the canonical bytes for stable hashing, signing and dedup.

The n-th Catalan number Cₙ = C(2n, n)/(n+1), counting balanced bracketings, binary trees, and many other structures. Requires n ≤ 10000.

Diameter, circumference and area of a circle from its radius.

Convert between a spreadsheet column letter and its 1-based index in either direction. Provide exactly one of `letter` (e.g. "AA") or `number` (e.g. 27); the response always contains both.

Look up a physical constant by its key (e.g. "speed-of-light"), symbol (e.g. "c") or exact name. Returns the CODATA 2018 recommended value, unit, relative standard uncertainty (0 for values that are exact by SI definition) and category.

Transcode a document between json, json5, jsonc, yaml, xml, csv, tsv, toml, ndjson, ini, env, properties, plist and querystring. Any source converts to any target through a JSON hub. Malformed input or a target that cannot represent the structure is rejected before payment.

Pearson correlation coefficient and covariance of two equal-length paired series. Rejected as a clean 400 if the lengths differ or either series has zero variance (correlation undefined).

Damerau-Levenshtein distance — like Levenshtein but also counts adjacent transpositions as a single edit — plus a normalized similarity in [0,1].

Return the ordinal day of the year (1..366), the number of days in that year and whether it is a leap year.

Sniff which structured format an unknown document is. Because formats overlap, returns every plausible format with a 0–1 score plus the best guess — honest about ambiguity rather than pretending certainty.

Compute the determinant of a square matrix via Gaussian elimination with partial pivoting. A non-square, ragged or empty matrix is a clean 400; a singular matrix simply returns 0.

Sørensen-Dice similarity coefficient in [0,1] over character bigrams — robust to word order and minor edits.

Compute the RFC 6902 JSON Patch that transforms `source` into `target`. The patch is a minimal array of add/remove/replace operations.

Parse a DKIM public-key DNS TXT record ("v=DKIM1; k=rsa; p=…") into its key type, public key, hash algorithms, service types and flags. An empty `p` is reported as a revoked key. A missing `p` tag is a clean 400.

Parse a DMARC TXT record ("v=DMARC1; p=…") into its policy, alignment, sampling and reporting tags. Missing or invalid policy/alignment/pct values are clean 400s.

Compute the date of Western (Gregorian) Easter Sunday for a year in 1583..9999 using the Anonymous Gregorian computus.

Apply the EIP-55 mixed-case checksum to an Ethereum address, regardless of its input casing. Returns the checksummed address and whether it differed from the input. Non-hex input is rejected before payment.

Look up a periodic-table element by exactly one of `symbol` (e.g. "Fe"), `name` (e.g. "iron") or atomic `number` (1..118). Returns its number, symbol, name, standard atomic weight and whether that weight is a true standard atomic weight.

Evaluate a mathematical expression with optional named variables — arithmetic, comparison and logic operators plus functions like sqrt, abs, min, max, sin, cos, log, floor, round, etc. A syntax error, an undefined variable, or a non-finite result is a clean 400. The factorial operator is disabled for safety.

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

Prime-factorize a positive integer (≤ 10^15 so the computation is always fast). Returns the prime factors with exponents, the divisor count, and whether n is prime.

Flatten a nested object/array into a single-level object whose keys are the delimited paths to each leaf (default delimiter `.`). Requires an object or array.

Convert a Julian Day Number back to a proleptic-Gregorian date, with the ISO weekday (1=Monday..7=Sunday) and its name.

Future value of a present sum and/or a level annuity, given a per-period rate and number of periods. Set dueAtBeginning=true for an annuity-due (payments at the start of each period).

Greatest common divisor of two or more non-negative integers (arbitrary precision).

Hamming distance — the number of positions at which two EQUAL-LENGTH strings differ — plus a normalized similarity. Strings of unequal length are a clean 400.

Generate an RFC 4226 counter-based HMAC one-time password from a base32 secret and counter. Configurable digits (6–10, default 6) and algorithm (SHA1/SHA256/SHA512, default SHA1). An invalid base32 secret is a clean 400.

Infer a JSON Schema (draft-07) from an example value, walking objects and arrays recursively. Set detectFormat=true to tag strings that look like date-time/date/email/uri/uuid, requireAll=false to leave object properties optional, and additionalProperties=true to allow extra keys.

Infer a JSON Schema (draft-07) from a sample document in any supported format. Types are inferred, present keys are marked required, and heterogeneous array item schemas are merged. The result validates out of the box with /v1/validate.

Grow a principal by simple or compound interest over a number of years. Compound interest uses compoundsPerYear compounding periods (default 12, monthly).

Internal rate of return (per period) of a series of cash flows, solved with a bounded bisection. Requires at least one positive and one negative flow; flows with no sign change or no bracketable root are rejected as a clean 400.

Miller-Rabin primality test (with witnesses that are exact for all 64-bit integers) on an arbitrary-precision integer. Returns { prime }.

Return the ISO-8601 week-numbering year, week number (1..53) and weekday (1=Monday..7=Sunday) for a Gregorian date. The ISO year can differ from the calendar year around New Year.

Jaccard similarity index in [0,1] — the size of the intersection over the union of the two strings' character-bigram sets.

Jaro similarity and the Jaro-Winkler variant (which boosts scores for a shared prefix), both in [0,1]. The prefix boost factor is configurable (default 0.1, max 0.25). Well suited to short strings like names.

Compute the astronomical Julian Date (JD, fractional, epoch noon 1 Jan 4713 BC) and Modified Julian Date (MJD = JD − 2400000.5) of a UTC instant. Unlike `calendar`'s integer Julian Day Number, this carries the time-of-day fraction.

Least common multiple of two or more positive integers (arbitrary precision).

Levenshtein edit distance (insertions, deletions, substitutions) between two strings, plus a normalized similarity in [0,1]. Operates on Unicode code points.

Given a reaction and the supplied amount of every reactant, identify the limiting reagent and compute leftover reactant and theoretical product yields.

List every physical constant in the dataset, or only those in a given category (universal, adopted, electromagnetic, atomic, physico-chemical). Returns the constants, the total count and the set of available categories.

Compute the level monthly payment, total paid and total interest of a fully-amortizing loan. Handles a 0% rate. Set schedule=true to also return the full month-by-month amortization table.

Find the first match (or all matches with all=true) of a RE2 pattern, returning each match's text, start/end offsets, and numbered and named capture groups. No match is a successful 200 with an empty match list.

Deep-merge an ordered list of JSON documents, left to right. Objects are merged key-by-key; arrays, scalars and null in a later document replace the earlier value (last-wins, no array concatenation).

Compute (base ^ exponent) mod modulus efficiently for arbitrary-precision integers. The modulus must be positive.

Compute the molar mass (g/mol) of a chemical formula. Supports nested parentheses and brackets, element multipliers, and hydrate dot notation with coefficients (e.g. "Ca(OH)2", "CuSO4·5H2O", "K4[Fe(CN)6]"). Returns the total mass and the per-element composition with mass fraction percentages.

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).

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.

Multiply two matrices A·B. The inner dimensions must agree (columns of A equal rows of B); a mismatch or a ragged/empty matrix is a clean 400.

Find the airports nearest to a latitude/longitude, ordered by great-circle distance. Optionally cap the search radius (km), result count and airport type. Returns each airport with its distance in km.

Normal distribution with optional mean (default 0) and standard deviation sd (default 1). `function` selects the density (pdf), cumulative distribution (cdf) or quantile / inverse-CDF.

Net present value of a series of cash flows discounted at a per-period rate. cashflows[0] is the time-0 flow (typically the initial outlay, negative).

Apply an RFC 6902 JSON Patch to a JSON document and return the result. An invalid or unresolvable patch (e.g. a failed `test`, or a path that does not exist) is rejected before payment.

Evaluate one or more percentiles (0–100) of a numeric sample using linear interpolation between order statistics (the R-7 / Excel PERCENTILE.INC method). 50 is the median, 25/75 the quartiles.

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

Poisson distribution with rate `lambda` (> 0, ≤ 1e9). `function` selects the mass (pmf), cumulative distribution (cdf) or quantile / inverse-CDF.

Area (shoelace formula), perimeter and centroid of a simple polygon given its vertices in order. Vertices are treated as a closed ring (last connects to first).

Present value of a future sum and/or a level annuity, given a per-period rate and number of periods. Set dueAtBeginning=true for an annuity-due.

Render text (URL, vCard, Wi-Fi config, …) as a QR code — SVG string or PNG data URL.

Evaluate a JMESPath expression against a JSON value and return the selected/projected result. A malformed expression is rejected before payment.

Parse an A1 range like "A1:C10" into its start and end cells (normalized so start is the top-left) and its extent — row count, column count and total cell count.

Build an A1-style cell reference from 1-based row and column numbers, optionally marking the row and/or column absolute ($).

Area, perimeter and diagonal of a rectangle from its width and height.

Return the input text with every detected PII span replaced. `mode` controls the replacement: "label" (default) → `[EMAIL]`; "mask" → the value covered with a mask character; "hash" → `[EMAIL:1a2b3c4d]`, a stable per-value fingerprint so equal values stay linkable without exposing them. Same validated detectors as `/detect`. Fully offline.

Ordinary-least-squares linear regression of y on x: slope, intercept, correlation r and coefficient of determination r². Pass predictAt to also evaluate the fitted line at a given x. Rejected as a clean 400 if lengths differ or x has zero variance.

Replace matches of a RE2 pattern with a replacement string. Replaces all matches by default (set all=false for first-only). The replacement may reference capture groups with $1, $2 or ${name}. Returns the resulting string.

Statically analyse a Model Context Protocol (MCP) server manifest for security risks. Tool descriptions enter the model context, a prime prompt-injection vector. Deterministic and offline (inline manifest). Flags dangerous capabilities (command/code execution, filesystem, credential and network access), injection patterns, hidden unicode and unconstrained parameters. Returns severity-ranked findings and a 0-100 score.

Determine the astronomical season for a date, based on the Sun's apparent ecliptic longitude (0°=March equinox, 90°=June solstice, …). Defaults to the northern hemisphere; pass `hemisphere` to flip.

Scan source code or configuration text for hardcoded secrets: AWS access keys, GitHub/Slack/Google tokens, Stripe and OpenAI keys, PEM private-key blocks, JWTs and high-entropy secret assignments. Placeholder values are filtered out. Each finding gives the rule, a severity (critical/high/medium/low), line and column, entropy and a masked excerpt. Offline and deterministic.

Mint a signed JSON Web Token from a JSON claims object, using a shared secret (HS*) or a PEM private key (RS/ES/PS). Supports expiresInSec, notBeforeSec, issuer, audience, subject and keyid. An unusable key or option is rejected before payment.

Solve the linear system A·x = b for a square coefficient matrix A and vector b via Gaussian elimination with partial pivoting. A non-square A or a b of the wrong length is a clean 400. A singular system is NOT an error — it returns a successful { solvable:false, solution:null }.

Evaluate an SPF record against an IPv4/IPv6 address using only its literal ip4/ip6/all mechanisms. DNS-dependent mechanisms (include, a, mx, exists, redirect) reached before a match yield an honest `indeterminate` result rather than a guess.

Parse an SPF TXT record ("v=spf1 …") into its qualified mechanisms and modifiers. Records that do not start with v=spf1 or use unknown mechanisms are clean 400s.

Split the input into parts on each match of a RE2 pattern. An optional limit caps the number of parts (0 = unlimited). Returns the parts array and its count.

Given a reaction and a known amount (moles or grams) of one species, compute the amount of a target species. The equation is balanced automatically.

Full descriptive summary of a numeric sample: count, sum, min/max/range, mean, median, mode(s), variance, standard deviation and the quartiles (q1/q3/iqr). Set sample=true for the sample variance/stdev (÷ n-1) instead of the population form (÷ n).

Compute sunrise, sunset, solar noon and day length for a latitude/longitude (east-positive) and date, using the NOAA sunrise equation. All times are UTC ISO-8601. Locations in polar day or night return null rise/set with a `polar` flag — a successful result, not an error.

Student's t distribution with df degrees of freedom (> 0). `function` selects the density (pdf), cumulative distribution (cdf) or quantile / inverse-CDF.

Test whether a RE2 pattern matches anywhere in the input. Returns { matched }. RE2 guarantees linear-time evaluation, so this is safe against catastrophic backtracking. An invalid pattern is a clean 400; no match is a successful 200.

Convert a proleptic-Gregorian calendar date to its Julian Day Number (the integer count of days since JDN 0, 1 January 4713 BC in the proleptic Julian calendar).

Euler's totient φ(n) — the count of integers in [1, n] coprime to n — for a positive integer ≤ 10^15 (it is computed from the prime factorization).

Generate an RFC 6238 time-based one-time password from a base32 secret. Uses the current time by default, or an explicit unix timestamp (seconds); configurable period (default 30s), digits (default 6) and algorithm (default SHA1). Also returns the counter and seconds remaining in the window.

Transpose a matrix, swapping rows and columns. A ragged/empty matrix is a clean 400.

Area (Heron's formula), perimeter and interior angles of a triangle from its three side lengths. Sides that violate the triangle inequality are rejected as a clean 400.

Rebuild a nested object from a single-level object whose keys are delimited paths (default delimiter `.`) — the inverse of flatten. Requires a flat object.

Build an otpauth:// provisioning URI (the string encoded in authenticator QR codes) for a totp or hotp secret. Includes label, issuer, algorithm, digits and period (totp) or counter (hotp). The secret must be valid base32.

Parse an expression and return the free variables it references, without evaluating it — so an agent can discover which inputs a formula needs before supplying values. A syntax error is a clean 400.

Verify a JSON Web Token's signature and claims against a shared secret (HS*) or a PEM public key (RS/ES/PS). Returns { valid, payload } on success or { valid: false, reason } for a bad signature, expired/not-yet-active token, or a failed issuer/audience/subject check. Pass `algorithms` to pin the accepted signing algorithms and prevent algorithm-confusion attacks.

Return the ISO weekday (1=Monday..7=Sunday) and its name for a Gregorian date.

Add or subtract from a timecode, either another timecode (b) or a raw frame count (frames), at a given frame rate. Uses frame-exact SMPTE math (including drop-frame). A result below zero is rejected as a clean 400.

Adler-32 checksum (as used by zlib) over the input payload. Faster than CRC-32 but weaker for short inputs. Returns the checksum as an unsigned integer and 8-digit hex. Non-cryptographic.

Look up an airport by its 3-letter IATA code or 4-character ICAO code. Provide exactly one. Returns the airport name, both codes, city, country, coordinates, elevation and type.

Split an amount into parts using integer minor-unit math so the shares always sum back to the exact original — no rounding drift. Pass parts for an even split, or ratios for a weighted one (e.g. [1,1,1] splits $100 into 33.34/33.33/33.33). The leftover minor units go to the largest fractional remainders.

Bitwise AND across two or more non-negative integers (given as decimal strings, evaluated as arbitrary-precision BigInt). Returns the result in decimal, hex and binary.

Return the antonyms (opposites) of an English word, aggregated across all its senses. Optionally filter by part of speech. An unknown word returns found:false with a 200.

Add, subtract, multiply or divide two fractions and return the exact, fully-reduced result. All computation is done in BigInt so there is no floating-point error. Dividing by a zero fraction is a clean 400.

Compute the calendar breakdown (years, months, days, hours, minutes, seconds) between two ISO 8601 dates/date-times, plus exact totalSeconds. If end precedes start the result is flagged negative rather than erroring.

Add/subtract business days to a date, or count business days between two dates — skipping weekends and optional holidays.

Generate cryptographically-secure random bytes, returned as hex, base64 or base64url.

Split an identifier or phrase into words and render it in every common case — camelCase, PascalCase, snake_case, kebab-case, CONSTANT_CASE, dot.case, path/case, Title Case and Sentence case. Handles acronyms (HTMLParser → html parser).

Check whether a specific date is a public holiday in a country (optionally by state/region).

Build a chord from a root note and quality (major, minor, dim, aug, maj7, min7, dom7, dim7, half-dim7, sus2, sus4, maj6, min6). Notes are spelled by stacked thirds (C dom7 → C E G Bb). Returns the note names, MIDI numbers and semitone intervals.

Classify a User-Agent by device form factor and return convenience booleans (isBot, isMobile, isTablet, isDesktop, isTouchCapable) for routing decisions.

Report whether two tokens sound alike under a chosen algorithm (soundex, metaphone or double-metaphone; default double-metaphone). Returns each token's codes and a boolean match.

Test whether an IP address falls within a CIDR block. A well-formed address of a different family (or simply outside the block) returns contains=false — not an error.

Compute the WCAG 2.1 contrast ratio between two colors and whether it passes AA/AAA.

Choose the singular or plural form for a given count, e.g. (apple, 3) → "apples", (apple, 1) → "apple". By default the count is prepended ("3 apples"); set includeCount=false to omit it.

List every ISO 3166-1 alpha-2 country code for which a postal-code pattern is available.

Look up a country by its ISO 3166-1 alpha-2 code, alpha-3 code, numeric code or English name. Provide exactly one field. Returns all codes plus the UN region.

CRC-16 over the input payload in one of several standard variants (ccitt-false, xmodem, modbus, ibm; default ccitt-false). Returns the checksum as an unsigned integer and 4-digit hex. Non-cryptographic.

CRC-32 (IEEE 802.3 polynomial, as used by zip, gzip and PNG) over the input payload. Returns the checksum as an unsigned integer and 8-digit hex. Non-cryptographic — for error detection only.

Build a valid .ics document from event fields (summary, start/end, location, …).

Look up an active ISO 4217 currency by its alphabetic code or numeric code. Provide exactly one field. Returns the code, numeric code, name and number of minor units (decimal places).

Decode HTML entities (named, decimal and hex numeric references) back into plain text.

HTML entity decode

Look up the definitions of an English word. Returns one entry per sense with its part of speech, definition, example sentences and synonyms. Optionally filter by part of speech. An unknown word returns found:false with a 200.

Distance and initial bearing between two coordinates.

Encode a word with Double Metaphone, returning a primary and a secondary code to capture alternate pronunciations (useful for non-English names).

Validate a GTIN barcode number — EAN-8, UPC-A (12), EAN-13 or GTIN-14 — by the standard mod-10 check digit. Length selects the scheme.

Encode text to HTML entities so it can be safely embedded in markup. By default uses hex numeric references; set useNamedReferences for named entities (&, ©) or encodeEverything to encode every character.

HTML entity encode

Read an ENS name's address plus its text records (avatar, url, email, description, com.twitter, com.github and more) in one call, live from the resolver on Ethereum mainnet. Pass `keys` to fetch specific records, or omit it for a sensible default set. Only records that are set are returned. Live reads with automatic endpoint fallback.

Expand an RRULE recurrence rule into its occurrence datetimes, with a human-readable description.

Resolve a MIME type to its default file extension.

Build the flag emoji for an ISO 3166-1 alpha-2 country code from its regional-indicator symbols (e.g. "US" → ). Non two-letter codes are clean 400s.

Fletcher checksum over the input payload, in 16-bit (default) or 32-bit width. Returns the checksum as an unsigned integer and hex. Non-cryptographic.

Format a card number into the conventional display groups for its network (4-6-5 for Amex, 4-6-4 for 14-digit Diners, otherwise groups of four).

Project WGS84 longitude/latitude (degrees) to Web Mercator (EPSG:3857) easting/northing in metres. Latitude is clamped to ±85.0511° (the projection's valid extent).

Convert a decimal string to an exact reduced fraction. For a repeating decimal, set repeat to the number of trailing fractional digits that repeat (e.g. value='0.1666', repeat=1 → 1/6; value='0.3', repeat=1 → 1/3). A non-numeric value is a clean 400.

Build braille cells from raised-dot numbers (each cell an array of 1–8). Out-of-range or repeated dots are clean 400s.

Convert an MGRS grid reference back to decimal lat/lon on WGS84 (the coordinate of the grid cell's south-west corner at the given precision). Whitespace is ignored; a malformed reference is a clean 400.

Decode international Morse code back into text. Letters are separated by whitespace and words by "/". Unknown Morse sequences are clean 400s.

Convert a UTM coordinate (zone, hemisphere, easting, northing) back to decimal lat/lon on WGS84.

Split YAML front-matter from a document — returns the parsed metadata object and the remaining content body. Malformed YAML is rejected as a clean 400.

Generate a random Luhn-valid TEST card number for the given network (default Visa). For testing only — these are not issued cards and cannot be charged. The response is always flagged `test:true`.

Encode a coordinate to a geohash and return its bounding box and 8 neighbors.

Summarise a text's difficulty as a single consensus US grade level (averaging the five grade formulas), plus the Flesch Reading Ease, a plain-language difficulty band and an approximate age range.

Compute a cryptographic digest (SHA-2, SHA-3, BLAKE2, and legacy SHA-1/MD5/RIPEMD-160) of some data. The input may be utf8/hex/base64/base64url and the digest is returned as hex/base64/base64url.

Compute a keyed HMAC of some data with a secret key — the standard way to sign and verify webhooks (Stripe, GitHub, etc.) and API requests. Data and key may each be utf8/hex/base64/base64url; the tag is returned as hex/base64/base64url.

Render an ISO 8601 duration as an English phrase, e.g. 'P1Y2M' → '1 year and 2 months'. Components are shown in descending order with correct pluralization.

Validate a 15-digit mobile device IMEI by its Luhn check digit. Spaces and hyphens are ignored.

Report the properties of a MAC address encoded in its first octet: unicast vs multicast (I/G bit), universal vs locally-administered (U/L bit), the broadcast address, and — for EUI-48 — the OUI and NIC portions.

Validate a UUID and report its version and variant.

Generate one or more uniformly-distributed random integers in an inclusive [min, max] range.

Name the interval between two notes (`to` at or above `from`) — its size in semitones, its diatonic number and its quality (perfect/major/minor/augmented/diminished). Correct spelling matters: C→F# is an augmented fourth, C→Gb a diminished fifth.

Un-project Web Mercator (EPSG:3857) easting/northing in metres back to WGS84 longitude/latitude in degrees.

Detect whether a User-Agent belongs to a known bot, crawler, AI agent or HTTP tool, and if so return its name and category (search, social, seo, ai, monitoring, tool, …).

Validate an ISBN-10 (mod-11, trailing X allowed) or ISBN-13 (GTIN mod-10) book number. Length after removing spaces/hyphens selects the scheme.

Look up a language by its ISO 639-1 alpha-2 code, ISO 639-2 alpha-3 code (bibliographic or terminologic) or English name. Provide exactly one field.

Validate a number by the Luhn (mod-10) algorithm — the scheme behind credit/debit card numbers and many IDs. Spaces and hyphens are ignored. A mismatched check digit is a successful { valid: false }.

Mask a card number for display, keeping the first six and last four digits (the PCI-permitted maximum) and replacing the rest with a mask character (default `*`).

Encode a word with the Metaphone algorithm — more accurate than Soundex for English pronunciation.

Convert decimal lat/lon to a Military Grid Reference System (MGRS) string on WGS84. Precision is the number of digits per axis (1–5; 5 = 1-metre resolution, default 5).

Reverse lookup: resolve a Unicode character name (e.g. 'SNOWMAN', 'CJK UNIFIED IDEOGRAPH-4E2D', 'HANGUL SYLLABLE GA') to its code point. Loose whitespace/case matching. An unknown name is a successful `found:false`.

Find the nearest CSS named color to a given color, by perceptual distance.

Detect the issuing network/brand (Visa, Mastercard, American Express, Discover, Diners Club, JCB, UnionPay, Maestro) from the card's IIN prefix, with the network's valid lengths. Returns `network:null` for an unrecognized prefix.

Apply a Unicode normalisation form (NFC, NFD, NFKC or NFKD) to a string. Reports whether the text changed and its length in UTF-16 code units and code points.

One's-complement NOT of a non-negative integer within an explicit bit width (two's-complement domain). The value must fit in `width` bits. Returns decimal, hex and binary.

Parse a note in scientific pitch notation (e.g. "A4", "C#5", "Bb3") into its letter, accidental, pitch class (0..11), octave, MIDI number and frequency in Hz (A4 = 440 Hz).

Bitwise OR across two or more non-negative integers (given as decimal strings, evaluated as arbitrary-precision BigInt). Returns the result in decimal, hex and binary.

Format a non-negative integer as an ordinal — both the suffixed form (21st) and the ordinal words (twenty-first).

Parse an .ics document into structured calendar events (summary, times, location, RRULE, attendees).

Return the plural form of an English word (handles irregulars — person → people, mouse → mice).

Test whether a coordinate falls inside a polygon.

Convert an integer between numeral bases 2–36 (binary, octal, hex, base36, …). Arbitrary size via BigInt; digits are case-insensitive and a leading minus is allowed.

Estimate reading and speaking time for a text at configurable words-per-minute rates (defaults: 200 wpm reading, 130 wpm speaking).

Render GitHub-Flavored Markdown to HTML. Output is sanitized by default (scripts, event handlers and javascript: URLs removed); set sanitize=false to keep raw HTML.

Report the ground resolution (metres per pixel, for 256-px tiles) and the OGC map scale denominator at a zoom level, optionally adjusted for latitude (default equator).

Resolve a relative or absolute reference against a base URL, following RFC 3986 reference resolution (e.g. base 'https://a.com/x/y' + ref '../z' → 'https://a.com/z'). The base must itself be a valid absolute URL, else a clean 400.

Roll dice notation with a cryptographically secure RNG, optionally repeated. Returns per-die rolls, the kept dice and the total for each roll.

Convert between integers (1–3999) and Roman numerals in either direction — a digit string is encoded to Roman, a Roman numeral is decoded to an integer. Non-canonical numerals (IIII, IC) are rejected.

Circularly rotate a non-negative integer left or right within an explicit bit width (bits shifted off one end reappear at the other). The value must fit in `width` bits. Returns decimal, hex and binary.

Round an amount to a currency's minor units (or an explicit minorUnits) with a chosen rounding mode: half-even (banker's, default), half-up, half-down, ceil, floor or trunc. Give a currency to derive minor units automatically (USD→2, JPY→0).

Validate a 9-digit US ABA bank routing number by its weighted (3,7,1) mod-10 checksum. Spaces and hyphens are ignored.

Draw a random sample from a provided array — without replacement by default (a fair shuffle), or with replacement when unique is false. count defaults to 1.

Sanitize untrusted HTML to a safe allowlist. Keeps common formatting and links but removes dangerous scripting tags, inline event handlers and unsafe URL schemes. Ideal for rendering user-supplied HTML.

Sanitize HTML

Test whether a version satisfies a semver range (^, ~, x-ranges, ||, hyphen).

Build a scale from a root note and type (major, natural-minor, harmonic-minor, melodic-minor, dorian, phrygian, lydian, mixolydian, locrian, major-pentatonic, minor-pentatonic, blues, chromatic). Heptatonic scales and modes are spelled diatonically (F major → F G A Bb C D E). Returns the note names, MIDI numbers and semitone intervals.

Generate a harmony scheme (complementary, analogous, triadic, tetradic, monochromatic) from a base color.

Compute the standard English readability formulas — Flesch Reading Ease, Flesch–Kincaid grade, Gunning fog, SMOG, Coleman–Liau and ARI — along with the underlying sentence/word/syllable statistics. Empty text is a clean 400.

Resolve a Unicode script name (loose matching) to its code point ranges, total size and a small sample. An unknown script is a successful `found:false`.

Fuzzy-search airports by name, city or code, optionally filtered by ISO country code or airport type. Matches are ranked exact-code/name then prefix then substring, larger airports first. Empty result is a successful 200.

Shift a non-negative integer left or right by `amount` bits. A right shift is logical (fills with zeros). A left shift grows freely unless a `width` is given, in which case the result is masked to that width and the input must fit it. Returns decimal, hex and binary.

Reduce a fraction to lowest terms and describe it: numerator/denominator (denominator normalized positive), sign, whether it is an integer, and a mixed-number form when improper. A zero denominator is a clean 400.

Return the singular form of an English word (handles irregulars — people → person, mice → mouse).

Encode a word with the classic Soundex algorithm (letter + 3 digits) for phonetic matching of names.

Return the validation regular expression (source and flags) used for a country's postal codes.

Spell text using the NATO/ICAO phonetic alphabet (A→Alfa, B→Bravo, …), including digits and spaces (→Space). Characters with no phonetic spelling are clean 400s.

Compute the exact probability distribution of a dice notation — mean, variance, standard deviation, min/max and the full probability mass function — with no sampling. Notations whose outcome range is too large for exact computation are clean 400s.

Estimate password strength: score, guesses, crack-time and feedback. Never stored.

Generate a random string of a given length from a named charset (alphanumeric, alpha, lower, upper, numeric, hex, base58) or a custom alphabet. Unbiased character selection.

Strip HTML to text

Remove all HTML tags, returning the plain text content. Entities are decoded to real characters by default (set decodeEntities=false to keep them encoded).

Compute network details of a CIDR block — network & broadcast address, usable host range, total and usable address counts. Works for IPv4 and IPv6 (counts returned as strings for large IPv6 blocks). Honours RFC 3021 for /31.

Count syllables per word and in total across the text.

Return the synonyms of an English word, aggregated across all its senses. Optionally filter by part of speech. An unknown word returns found:false with a 200.

Map a WGS84 coordinate at a given zoom (0..30) to its slippy-map (XYZ / Google / OSM) tile x,y and its Bing quadkey.

Compute the geographic bounding box (west/south/east/north in degrees) of a slippy-map tile z/x/y, plus its Bing quadkey.

Resolve the timezone for a latitude/longitude.

Expand a fraction to its decimal form by exact long division, detecting a repeating cycle and rendering it in parenthesis notation (e.g. 1/6 → '0.1(6)', 1/7 → '0.(142857)'). maxDigits caps a non-repeating expansion. A zero denominator is a clean 400.

Convert a decimal-degree latitude/longitude to degrees-minutes-seconds, with hemisphere letters and a formatted string for each axis.

Break a braille string into its cells and the raised-dot numbers (1–8) of each cell.

Derive the modified EUI-64 interface identifier from a 48-bit MAC (insert FFFE, flip the U/L bit) and the resulting IPv6 link-local address (fe80::/64).

Encode text into international (ITU) Morse code. Letters are separated by spaces and words by "/". Supports A-Z, 0-9 and common punctuation; unsupported characters are clean 400s.

Extract the heading outline from Markdown — depth, text and a unique GitHub-style anchor slug for each heading. Optionally limit to a maximum heading depth.

Decode a base64 byte buffer from one character set and re-encode it into another (utf-8, utf-16le, utf-16be, latin1, ascii). Characters that the target set cannot represent, or bytes invalid for the source set, are clean 400s.

Generate one or more lexicographically sortable ULIDs (monotonic within a call).

Turn a string of phonetic words back into text ("Sierra Oscar Sierra" → "SOS"). Accepts common alternative spellings (Alpha, Juliet, Niner). Unknown words are clean 400s.

Convert decimal lat/lon to a UTM coordinate (zone, latitude band, hemisphere, easting, northing) on WGS84, including the Norway/Svalbard zone exceptions. Defined for latitudes -80..84.

Generate one or more UUIDs. Supports v4 (random), v1/v7 (time), and v3/v5 (namespaced).

Check whether a postal / ZIP code is well-formed for a country (ISO 3166-1 alpha-2). A malformed code is a successful result with `valid:false`, not an error — only an unsupported country or empty code is a 400.

Wikipedia Article Summary

Wikipedia summary API - the plain-language summary of the best-matching Wikipedia article for a topic or query, in any language. Returns the article title, short description, summary extract, thumbnail image and canonical URL. A wikipedia / encyclopedia lookup for agents grounding answers on a topic. No match returns found:false. Data source: Wikipedia (CC BY-SA 4.0).

Spell an integer out in English words, e.g. 123 → "one hundred twenty-three". Negatives are prefixed with "minus".

Bitwise XOR across two or more non-negative integers (given as decimal strings, evaluated as arbitrary-precision BigInt). Returns the result in decimal, hex and binary.

Live state of an address: native balance (wei + ether), transaction count (nonce), and whether it's a contract or an externally-owned account (with deployed code size). Reads live on-chain data with automatic endpoint fallback.

Live block summary by number, hex, or tag (latest/earliest/pending/safe/finalized; default latest): number, hash, parent, timestamp (unix + ISO), transaction count, gas used/limit, base fee and miner. Reads live on-chain data with automatic endpoint fallback.

DeFi market overview: total value locked (USD) across all chains, the chain count, and the top chains by TVL with each chain's TVL dominance. This is DeFi TVL — not total crypto market cap.

Decentralised exchange (DEX) trading volume: total 24h and 7d USD volume with 1d/7d change, plus the top DEXs by 24h volume. Optional `chain` filter scopes the totals and ranking to one chain.

Resolve an ENS name (like alice.eth) to its Ethereum address, read live from the ENS resolver on Ethereum mainnet. Offchain names such as *.base.eth resolve too. Returns `found:false` (a real answer, not an error) when the name has no address record. Live reads with automatic endpoint fallback.

Reverse-resolve an Ethereum address to its primary ENS name (the reverse record set by the owner), read live on Ethereum mainnet. Returns `found:false` when the address has no primary name set. Live reads with automatic endpoint fallback.

DeFi protocol fees and revenue: total 24h and 7d fees (USD) paid by users across protocols, plus the top protocols by 24h fees with each one's 24h revenue where reported. Optional `chain` filter scopes totals and ranking to one chain.

Live gas conditions for an EVM chain: current gas price, the latest block's base fee (EIP-1559) and the suggested max priority fee — all in both wei and gwei. Ground truth an agent can't compute. Reads live on-chain data with automatic endpoint fallback.

Historical USD price series for one token by coin id (e.g. "coingecko:bitcoin", "ethereum:0xdAC17…"). Returns evenly spaced `points` over the last `span` periods.

Top DeFi protocols ranked by total value locked (USD), with 1d/7d TVL change, category and chains. Optional filters: `chain` (ranks by that chain's TVL) and `category` (e.g. "Dexes", "Lending"). Centralised-exchange reserves are excluded.

Stablecoin market: total circulating market cap (USD) and the largest stablecoins by mcap with their peg type, peg mechanism (e.g. fiat-backed, crypto-backed) and dominance.

Live ERC-20 metadata read directly from the contract: name, symbol, decimals and total supply (raw + decimal-formatted). Handles both string and legacy bytes32 name/symbol encodings. Returns `isToken:false` for EOAs or non-token contracts. Reads live on-chain data with automatic endpoint fallback.

Live ERC-20 token balance held by a wallet: calls `balanceOf(address)` on the token contract and returns the raw balance plus a decimal-formatted amount (using the token's own decimals) with its symbol. Distinct from `address` (native ETH balance) and `token` (contract metadata). Reads live on-chain data with automatic endpoint fallback.

Live status and details of a transaction by hash: success/failed/pending, from/to, value (wei + ether), nonce, block number, gas used, effective gas price and any created contract address. Returns `found:false` for unknown hashes. Reads live on-chain data with automatic endpoint fallback.

Top DeFi yield pools ranked by APY, with optional filters (chain, project, stablecoin-only, minimum TVL). Dust pools below `minTvlUsd` (default $10k) are excluded so reported APYs are meaningful.