{"generator":"equations.expression","version":1,"value":{"problems":[{"prompt":"x - 11 + 8 + 5","prompt_latex":"x - 11 + 8 + 5","answer":"x = -1  \u2192  1","answer_latex":"x = -1  \u2192  1","tree":"+\n  +\n    -\n      x\n      11\n    8\n  5","bindings":{"x":-1},"value":1},{"prompt":"sin(10\/(x + x))","prompt_latex":"\\sin\\left(\\frac{10}{x + x}\\right)","answer":"x = 1  \u2192  -0.958924","answer_latex":"x = 1  \u2192  -0.958924","tree":"sin\n  \/\n    10\n    +\n      x\n      x","bindings":{"x":1},"value":-0.9589242746631385},{"prompt":"x*sin(x*x)","prompt_latex":"x \\cdot \\sin\\left(x \\cdot x\\right)","answer":"x = -4  \u2192  1.151613","answer_latex":"x = -4  \u2192  1.151613","tree":"*\n  x\n  sin\n    *\n      x\n      x","bindings":{"x":-4},"value":1.1516132666602612}],"count":3},"display":"1. x - 11 + 8 + 5   \u2192   x = -1  \u2192  1\n2. sin(10\/(x + x))   \u2192   x = 1  \u2192  -0.958924\n3. x*sin(x*x)   \u2192   x = -4  \u2192  1.151613","meta":{"latex":[["x - 11 + 8 + 5","x = -1  \u2192  1"],["\\sin\\left(\\frac{10}{x + x}\\right)","x = 1  \u2192  -0.958924"],["x \\cdot \\sin\\left(x \\cdot x\\right)","x = -4  \u2192  1.151613"]],"problems":3,"mean_nodes":6.3,"deepest":3,"stream_bytes_used":719,"rejections":10,"entropy_in_bytes":16,"duration_us":1099},"receipt":{"source":"bitcoin","source_label":"Bitcoin Proof-of-Work","class":"B","class_label":"Public beacon","caveat":"Published openly \u2014 anyone can look this value up after the fact.","narrative":"Bitcoin block 973,606 \u2014 20 leading zeros of proof-of-work, found about ten minutes ago.","proof_url":"https:\/\/mempool.space\/block\/00000000000000000000b18ace1d5c4854406e3c21809abe7eac0afda3de4ac9","reference":"973606","observed_at":"2026-10-28T23:06:24+00:00","degraded":false,"mixed_with_csprng":true,"latency_ms":986,"cached":false},"seed":{"token":"271MCNGF13C446BX99Q8AXS31W","permalink":"https:\/\/randomly.cluxnei.dev\/r\/271MCNGF13C446BX99Q8AXS31W?g=equations.expression&v=1&p=eyJjb25zdGFudHMiOmZhbHNlLCJjb3VudCI6MywiZGVwdGgiOjMsImZ1bmN0aW9ucyI6InRyaWciLCJzaG93X3ZhbHVlIjp0cnVlLCJ2YXJpYWJsZXMiOjF9&s=bitcoin&r=973606"},"uses_entropy":true,"reproducible":true}