Frontier-grade data for the models that need it most

taskBimanual disc finishing — one hand holds a metal disc against the fixture while the other drives an abrasive tool across its face, including the brief release moment where both hands leave the workpiece.

scenarioVoice-clone impersonation of a public figure delivering a cryptocurrency giveaway pitch — a negative example for training and evaluating audio deepfake and scam-call detectors.

Impersonation

Public figure — Barack Obama (cloned voice)

Provenance

Synthetic — TTS voice clone

Tone

Measured, authoritative, persuasive

Accent

General American

Intent

Fraud — crypto giveaway scam

Audio

Mono, 44.1 kHz, 14 s

With b₀ = 11 − (2/3)n_f and leading-order running 1/α_s(Q) = 1/α_s(M_Z) + (b₀/2π)·ln(Q/M_Z), evaluate α_s at Q = 500 GeV. Report to two decimal places.

α_s(M_Z) = 0.118    M_Z = 91.2 GeV    Q = 500 GeV    n_f = 5

sanity checkCoupling fell from 0.118 → 0.095 as energy rose — the correct direction for asymptotic freedom, confirming the sign convention was applied right.

qRosuvastatin was newly initiated for this patient at one visit (medicine_status = 'entry'). What was the change in LDL cholesterol from the last reading before that visit to the first reading after it? Report the initiation date, both readings, and the absolute change in mg/dL.

Initiation date

2025-04-02

Absolute change

−55 mg/dL

Last LDL before

120 mg/dL · 2025-03-31

First LDL after

65 mg/dL · 2025-05-17

verificationProgrammatic exact match — recompute from source JSON: filter meds by (generic~rosuvastatin, status=entry); partition sorted LDL readings around visit_date; assert delta == −55.0.

quality flagSame visit V00214 maps raw text 'kco ald with old pancreatitis' to diagnosis 'adrenoleukodystrophy'; clinical context (pancreatitis, Indian shorthand) strongly suggests 'alcoholic liver disease'. Ontology-mapping defect — excluded from this task's context but relevant for dataset QA.

Let $S$ be the set consisting of $0$ together with all $51$ complex roots of $z^{51} = 1$. How many monic degree-$8$ complex polynomials $p(z)$ have eight distinct roots, all lying in $S$, with the additional property that every root is a corner point of the convex hull of the eight roots in the complex plane?

The complete graph $K_{10}$ on $10$ labeled vertices has $10^8$ spanning trees by Cayley's formula. Determine the number of spanning trees in which, for every edge, the sum of the degrees (in the tree) of its endpoints is at most $5$.

Work over $F_{37}$ with basis $e_1, e_2, f_1, f_2$ and alternating form $\\langle x, y \\rangle = x_1 y_3 + x_2 y_4 - x_3 y_1 - x_4 y_2$. Let $X$ be the set of incident pairs $([v], L)$, where $[v]$ is a 1-dimensional subspace of $F_{37}^4$ and $L$ is a 2-dimensional subspace containing $[v]$ on which this form is identically zero. Let $W$ be the $F_2$-vector space of all labelings $c : X \\to \\{0,1\\}$ such that, for every $[v]$, the sum of $c([v], L)$ over all $L$ containing $[v]$ is 0 in $F_2$, and for every $L$, the sum of $c([v], L)$ over all $[v]$ contained in $L$ is 0 in $F_2$. With $E_{ij}$ denoting the matrix in row $i$ and column $j$, define $A_+(t) = I + t(E_{12} - E_{43})$, $A_-(t) = I + t(E_{21} - E_{34})$, $B_+(t) = I + t E_{13}$, and $B_-(t) = I + t E_{31}$ for $t$ in $F_{37}$. Let $m_A$ be the $F_2$-dimension of the part of $W$ fixed by every $A_+(t)$ and $A_-(t)$, and define $m_B$ similarly using $B_+(t)$ and $B_-(t)$. Let $r$ be the index, among projective linear transformations preserving the incidence relation on $X$, of those induced by matrices preserving the alternating form exactly. The reported score is $m_A + m_B$ if $m_A + m_B$ is congruent to $r$ modulo 3 and the two numbers $m_A, m_B$ have opposite parity; otherwise the reported score is 0. What is the reported score?

The sum of two even integers is even.

theorem even_add_even (m n : ℤ) (hm : Even m) (hn : Even n) : Even (m + n)

theorem even_add_even (m n : ℤ) (hm : Even m) (hn : Even n) :
    Even (m + n) := by
  obtain ⟨a, ha⟩ := hm
  obtain ⟨b, hb⟩ := hn
  exact ⟨a + b, by rw [ha, hb]; ring⟩

qWhat is the difference between Unilever's and Colgate-Palmolive's market share in Apparel Care, and which brand's delta suggests it is closing the gap faster?

qUsing the land-cover classification, which class occupies the largest contiguous area along the coastline, and what is the dominant adjacency relationship between urban (gray) and water (blue) classes?