[
  {
    "task": "math",
    "input": "Math Hard 675: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 403: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 838: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=82, D=POS, \u03c6=PHI1 (shift 2), and X=20, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 121: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=47, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 395: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 374: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=50, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 170: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=53, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 53 << 2 ) = +212 = 212 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 210: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=42, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 42 << 4 ) = -672 = -672 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 191: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=92, D=POS, \u03c6=PHI1 (shift 2), and X=23, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 92 << 2 ) = +368 = 368 (shift 2 = *4). W_active2 = Sign(NEG)*( 23 << 4 ) = -368 = -368 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 604: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=35, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 336: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=26, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 724: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=84, D=POS, \u03c6=PHI1 (shift 2), and X=53, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 300: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=75, D=POS, \u03c6=PHI1 (shift 2), and X=93, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 93 << 4 ) = -1488 = -1488 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 494: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=90, D=POS, \u03c6=PHI1 (shift 2), and X=47, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 90 << 2 ) = +360 = 360 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 192: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 708: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 163: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=27, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 998: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=83, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 83 << 4 ) = -1328 = -1328 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 472: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=10, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 10 << 2 ) = +40 = 40 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 800: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=55, D=POS, \u03c6=PHI1 (shift 2), and X=55, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 55 << 2 ) = +220 = 220 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 743: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=95, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 775: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=24, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 24 << 4 ) = -384 = -384 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 562: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=30, D=POS, \u03c6=PHI1 (shift 2), and X=59, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 59 << 4 ) = -944 = -944 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 433: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=16, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 16 << 2 ) = +64 = 64 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 398: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=84, D=POS, \u03c6=PHI1 (shift 2), and X=27, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 909: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 773: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 577: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 103: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 325: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=25, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 25 << 4 ) = -400 = -400 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 349: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=76, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 76 << 2 ) = +304 = 304 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 383: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=48, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 48 << 4 ) = -768 = -768 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 136: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 705: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 285: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=90, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 90 << 4 ) = -1440 = -1440 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 72: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=80, D=POS, \u03c6=PHI1 (shift 2), and X=55, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 80 << 2 ) = +320 = 320 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 274: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=45, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 236: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=80, D=POS, \u03c6=PHI1 (shift 2), and X=51, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 80 << 2 ) = +320 = 320 (shift 2 = *4). W_active2 = Sign(NEG)*( 51 << 4 ) = -816 = -816 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 509: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=98, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 98 << 2 ) = +392 = 392 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 302: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=14, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 14 << 2 ) = +56 = 56 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 489: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 105: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 269: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=25, D=POS, \u03c6=PHI1 (shift 2), and X=94, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 94 << 4 ) = -1504 = -1504 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 635: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=67, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 445: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 769: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=67, D=POS, \u03c6=PHI1 (shift 2), and X=53, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 700: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=64, D=POS, \u03c6=PHI1 (shift 2), and X=10, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 64 << 2 ) = +256 = 256 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 776: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=35, D=POS, \u03c6=PHI1 (shift 2), and X=23, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 35 << 2 ) = +140 = 140 (shift 2 = *4). W_active2 = Sign(NEG)*( 23 << 4 ) = -368 = -368 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 767: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 716: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=37, D=POS, \u03c6=PHI1 (shift 2), and X=58, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 37 << 2 ) = +148 = 148 (shift 2 = *4). W_active2 = Sign(NEG)*( 58 << 4 ) = -928 = -928 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 298: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=41, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 41 << 2 ) = +164 = 164 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 57: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=35, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 224: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=70, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 70 << 4 ) = -1120 = -1120 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 628: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=28, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 280: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=43, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 43 << 4 ) = -688 = -688 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 907: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=46, D=POS, \u03c6=PHI1 (shift 2), and X=93, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 46 << 2 ) = +184 = 184 (shift 2 = *4). W_active2 = Sign(NEG)*( 93 << 4 ) = -1488 = -1488 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 530: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=46, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 46 << 2 ) = +184 = 184 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 145: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=25, D=POS, \u03c6=PHI1 (shift 2), and X=57, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 176: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=57, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 736: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=64, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 64 << 2 ) = +256 = 256 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 382: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 114: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=80, D=POS, \u03c6=PHI1 (shift 2), and X=35, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 80 << 2 ) = +320 = 320 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 547: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 735: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 898: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=70, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 70 << 4 ) = -1120 = -1120 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 53: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=77, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 514: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=25, D=POS, \u03c6=PHI1 (shift 2), and X=94, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 94 << 4 ) = -1504 = -1504 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 825: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=30, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 661: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=92, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 92 << 4 ) = -1472 = -1472 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 42: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 299: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 913: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=61, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 61 << 2 ) = +244 = 244 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 569: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 563: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=32, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 32 << 2 ) = +128 = 128 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 638: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 681: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 528: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=34, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 34 << 2 ) = +136 = 136 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 652: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=95, D=POS, \u03c6=PHI1 (shift 2), and X=57, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 389: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=49, D=POS, \u03c6=PHI1 (shift 2), and X=51, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 51 << 4 ) = -816 = -816 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 821: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=49, D=POS, \u03c6=PHI1 (shift 2), and X=24, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 24 << 4 ) = -384 = -384 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 710: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=14, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 14 << 4 ) = -224 = -224 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 273: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=80, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 80 << 2 ) = +320 = 320 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 930: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=26, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 695: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 892: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=75, D=POS, \u03c6=PHI1 (shift 2), and X=26, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 978: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 291: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=72, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 72 << 4 ) = -1152 = -1152 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 423: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=49, D=POS, \u03c6=PHI1 (shift 2), and X=63, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 63 << 4 ) = -1008 = -1008 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 214: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=83, D=POS, \u03c6=PHI1 (shift 2), and X=45, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 83 << 2 ) = +332 = 332 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 54: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=51, D=POS, \u03c6=PHI1 (shift 2), and X=79, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 51 << 2 ) = +204 = 204 (shift 2 = *4). W_active2 = Sign(NEG)*( 79 << 4 ) = -1264 = -1264 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 611: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 120: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=60, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 60 << 4 ) = -960 = -960 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 536: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=52, D=POS, \u03c6=PHI1 (shift 2), and X=27, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 952: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 699: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 895: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 158: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=65, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 65 << 4 ) = -1040 = -1040 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 994: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 973: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=28, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 216: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=28, D=POS, \u03c6=PHI1 (shift 2), and X=28, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 613: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=52, D=POS, \u03c6=PHI1 (shift 2), and X=62, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 289: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=81, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 81 << 2 ) = +324 = 324 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 784: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 665: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=76, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 76 << 2 ) = +304 = 304 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 867: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=50, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 50 << 2 ) = +200 = 200 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 534: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=28, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 428: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=31, D=POS, \u03c6=PHI1 (shift 2), and X=76, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 31 << 2 ) = +124 = 124 (shift 2 = *4). W_active2 = Sign(NEG)*( 76 << 4 ) = -1216 = -1216 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 412: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=96, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 96 << 2 ) = +384 = 384 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 839: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=78, D=POS, \u03c6=PHI1 (shift 2), and X=43, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 43 << 4 ) = -688 = -688 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 425: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 591: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 859: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=98, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 161: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=40, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 40 << 2 ) = +160 = 160 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 553: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=69, D=POS, \u03c6=PHI1 (shift 2), and X=79, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 69 << 2 ) = +276 = 276 (shift 2 = *4). W_active2 = Sign(NEG)*( 79 << 4 ) = -1264 = -1264 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 17: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=14, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 14 << 2 ) = +56 = 56 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 226: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=84, D=POS, \u03c6=PHI1 (shift 2), and X=92, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 92 << 4 ) = -1472 = -1472 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 68: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=30, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 23: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=63, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 63 << 2 ) = +252 = 252 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 566: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=84, D=POS, \u03c6=PHI1 (shift 2), and X=42, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 42 << 4 ) = -672 = -672 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 609: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=10, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 939: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 169: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=61, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 61 << 2 ) = +244 = 244 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 992: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=75, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 8: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=78, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 368: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=16, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 16 << 4 ) = -256 = -256 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 696: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=68, D=POS, \u03c6=PHI1 (shift 2), and X=14, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 68 << 2 ) = +272 = 272 (shift 2 = *4). W_active2 = Sign(NEG)*( 14 << 4 ) = -224 = -224 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 323: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 532: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=51, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 51 << 2 ) = +204 = 204 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 380: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=76, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 76 << 2 ) = +304 = 304 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 246: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 427: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=50, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 50 << 2 ) = +200 = 200 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 65: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=51, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 51 << 4 ) = -816 = -816 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 928: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 58: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=82, D=POS, \u03c6=PHI1 (shift 2), and X=30, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 30 << 4 ) = -480 = -480 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 739: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 71: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=18, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 18 << 4 ) = -288 = -288 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 294: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=26, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 218: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=64, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 64 << 4 ) = -1024 = -1024 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 538: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=62, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 228: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 961: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=80, D=POS, \u03c6=PHI1 (shift 2), and X=59, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 80 << 2 ) = +320 = 320 (shift 2 = *4). W_active2 = Sign(NEG)*( 59 << 4 ) = -944 = -944 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 28: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=45, D=POS, \u03c6=PHI1 (shift 2), and X=82, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 45 << 2 ) = +180 = 180 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 442: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=83, D=POS, \u03c6=PHI1 (shift 2), and X=67, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 83 << 2 ) = +332 = 332 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 746: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=82, D=POS, \u03c6=PHI1 (shift 2), and X=93, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 93 << 4 ) = -1488 = -1488 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 720: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=28, D=POS, \u03c6=PHI1 (shift 2), and X=75, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 75 << 4 ) = -1200 = -1200 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 241: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 686: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 220: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=80, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 392: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=97, D=POS, \u03c6=PHI1 (shift 2), and X=14, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 97 << 2 ) = +388 = 388 (shift 2 = *4). W_active2 = Sign(NEG)*( 14 << 4 ) = -224 = -224 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 324: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=54, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 54 << 4 ) = -864 = -864 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 941: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 670: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 87: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 734: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=64, D=POS, \u03c6=PHI1 (shift 2), and X=16, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 64 << 2 ) = +256 = 256 (shift 2 = *4). W_active2 = Sign(NEG)*( 16 << 4 ) = -256 = -256 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 486: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=31, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 31 << 2 ) = +124 = 124 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 894: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=30, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 798: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=78, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 24: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=53, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 53 << 2 ) = +212 = 212 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 186: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=53, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 379: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 912: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=14, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 14 << 2 ) = +56 = 56 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 977: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 654: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=49, D=POS, \u03c6=PHI1 (shift 2), and X=63, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 63 << 4 ) = -1008 = -1008 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 659: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 113: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=61, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 61 << 2 ) = +244 = 244 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 452: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 219: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 598: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=71, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 71 << 4 ) = -1136 = -1136 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 920: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=63, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 63 << 4 ) = -1008 = -1008 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 925: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=26, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 415: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=45, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 422: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=21, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 21 << 2 ) = +84 = 84 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 197: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=84, D=POS, \u03c6=PHI1 (shift 2), and X=33, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 95: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 674: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=64, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 64 << 2 ) = +256 = 256 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 140: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=74, D=POS, \u03c6=PHI1 (shift 2), and X=16, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 16 << 4 ) = -256 = -256 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 417: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 357: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 73: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=28, D=POS, \u03c6=PHI1 (shift 2), and X=62, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 967: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=28, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 605: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 703: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 697: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=82, D=POS, \u03c6=PHI1 (shift 2), and X=93, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 93 << 4 ) = -1488 = -1488 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 667: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 914: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=94, D=POS, \u03c6=PHI1 (shift 2), and X=58, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 94 << 2 ) = +376 = 376 (shift 2 = *4). W_active2 = Sign(NEG)*( 58 << 4 ) = -928 = -928 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 815: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=31, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 31 << 2 ) = +124 = 124 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 362: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=90, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 90 << 2 ) = +360 = 360 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 406: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=96, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 96 << 2 ) = +384 = 384 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 869: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=80, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 962: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=90, D=POS, \u03c6=PHI1 (shift 2), and X=52, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 90 << 2 ) = +360 = 360 (shift 2 = *4). W_active2 = Sign(NEG)*( 52 << 4 ) = -832 = -832 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 250: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=30, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 319: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 942: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=90, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 90 << 4 ) = -1440 = -1440 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 753: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=96, D=POS, \u03c6=PHI1 (shift 2), and X=82, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 96 << 2 ) = +384 = 384 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 972: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=36, D=POS, \u03c6=PHI1 (shift 2), and X=34, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 36 << 2 ) = +144 = 144 (shift 2 = *4). W_active2 = Sign(NEG)*( 34 << 4 ) = -544 = -544 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 13: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=60, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 60 << 2 ) = +240 = 240 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 384: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=49, D=POS, \u03c6=PHI1 (shift 2), and X=28, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 352: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=51, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 51 << 4 ) = -816 = -816 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 791: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 516: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=20, D=POS, \u03c6=PHI1 (shift 2), and X=33, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 20 << 2 ) = +80 = 80 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 363: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=74, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 568: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 996: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=54, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 54 << 4 ) = -864 = -864 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 376: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 905: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=59, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 59 << 4 ) = -944 = -944 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 621: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=53, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 877: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=55, D=POS, \u03c6=PHI1 (shift 2), and X=87, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 55 << 2 ) = +220 = 220 (shift 2 = *4). W_active2 = Sign(NEG)*( 87 << 4 ) = -1392 = -1392 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 128: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=75, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 75 << 4 ) = -1200 = -1200 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 515: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=46, D=POS, \u03c6=PHI1 (shift 2), and X=65, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 46 << 2 ) = +184 = 184 (shift 2 = *4). W_active2 = Sign(NEG)*( 65 << 4 ) = -1040 = -1040 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 729: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=16, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 16 << 2 ) = +64 = 64 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 333: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=67, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 411: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=82, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 906: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=42, D=POS, \u03c6=PHI1 (shift 2), and X=79, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 79 << 4 ) = -1264 = -1264 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 85: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=89, D=POS, \u03c6=PHI1 (shift 2), and X=51, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 89 << 2 ) = +356 = 356 (shift 2 = *4). W_active2 = Sign(NEG)*( 51 << 4 ) = -816 = -816 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 38: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=80, D=POS, \u03c6=PHI1 (shift 2), and X=57, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 80 << 2 ) = +320 = 320 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 416: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=63, D=POS, \u03c6=PHI1 (shift 2), and X=25, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 63 << 2 ) = +252 = 252 (shift 2 = *4). W_active2 = Sign(NEG)*( 25 << 4 ) = -400 = -400 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 584: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 74: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 78: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=30, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 30 << 4 ) = -480 = -480 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 66: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=83, D=POS, \u03c6=PHI1 (shift 2), and X=23, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 83 << 2 ) = +332 = 332 (shift 2 = *4). W_active2 = Sign(NEG)*( 23 << 4 ) = -368 = -368 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 326: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=83, D=POS, \u03c6=PHI1 (shift 2), and X=53, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 83 << 2 ) = +332 = 332 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 640: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=81, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 933: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=65, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 65 << 4 ) = -1040 = -1040 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 715: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=42, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 42 << 4 ) = -672 = -672 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 750: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=80, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 719: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=21, D=POS, \u03c6=PHI1 (shift 2), and X=34, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 21 << 2 ) = +84 = 84 (shift 2 = *4). W_active2 = Sign(NEG)*( 34 << 4 ) = -544 = -544 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 840: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=14, D=POS, \u03c6=PHI1 (shift 2), and X=47, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 14 << 2 ) = +56 = 56 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 828: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=49, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 375: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=34, D=POS, \u03c6=PHI1 (shift 2), and X=81, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 34 << 2 ) = +136 = 136 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 565: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=68, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 68 << 2 ) = +272 = 272 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 922: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=93, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 93 << 4 ) = -1488 = -1488 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 903: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=40, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 40 << 2 ) = +160 = 160 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 231: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 212: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=57, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 765: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 807: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=92, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 92 << 2 ) = +368 = 368 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 845: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=27, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 27 << 2 ) = +108 = 108 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 714: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=45, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 45 << 2 ) = +180 = 180 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 263: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=36, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 36 << 2 ) = +144 = 144 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 134: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=16, D=POS, \u03c6=PHI1 (shift 2), and X=13, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 16 << 2 ) = +64 = 64 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 559: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=94, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 94 << 2 ) = +376 = 376 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 253: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=56, D=POS, \u03c6=PHI1 (shift 2), and X=17, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 56 << 2 ) = +224 = 224 (shift 2 = *4). W_active2 = Sign(NEG)*( 17 << 4 ) = -272 = -272 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 167: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=65, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 65 << 4 ) = -1040 = -1040 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 377: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=61, D=POS, \u03c6=PHI1 (shift 2), and X=54, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 61 << 2 ) = +244 = 244 (shift 2 = *4). W_active2 = Sign(NEG)*( 54 << 4 ) = -864 = -864 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 102: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=27, D=POS, \u03c6=PHI1 (shift 2), and X=71, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 27 << 2 ) = +108 = 108 (shift 2 = *4). W_active2 = Sign(NEG)*( 71 << 4 ) = -1136 = -1136 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 797: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=83, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 83 << 4 ) = -1328 = -1328 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 492: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=14, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 14 << 4 ) = -224 = -224 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 771: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=63, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 63 << 4 ) = -1008 = -1008 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 265: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=59, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 59 << 4 ) = -944 = -944 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 12: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=95, D=POS, \u03c6=PHI1 (shift 2), and X=24, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 24 << 4 ) = -384 = -384 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 245: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 980: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 824: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=69, D=POS, \u03c6=PHI1 (shift 2), and X=79, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 69 << 2 ) = +276 = 276 (shift 2 = *4). W_active2 = Sign(NEG)*( 79 << 4 ) = -1264 = -1264 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 139: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=28, D=POS, \u03c6=PHI1 (shift 2), and X=87, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 87 << 4 ) = -1392 = -1392 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 249: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=95, D=POS, \u03c6=PHI1 (shift 2), and X=60, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 60 << 4 ) = -960 = -960 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 856: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 49: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 597: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=26, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 26 << 2 ) = +104 = 104 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 786: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=70, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 70 << 4 ) = -1120 = -1120 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 732: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 499: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=10, D=POS, \u03c6=PHI1 (shift 2), and X=94, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 10 << 2 ) = +40 = 40 (shift 2 = *4). W_active2 = Sign(NEG)*( 94 << 4 ) = -1504 = -1504 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 237: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 940: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=63, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 63 << 4 ) = -1008 = -1008 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 789: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 572: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=91, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 91 << 4 ) = -1456 = -1456 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 230: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=68, D=POS, \u03c6=PHI1 (shift 2), and X=54, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 68 << 2 ) = +272 = 272 (shift 2 = *4). W_active2 = Sign(NEG)*( 54 << 4 ) = -864 = -864 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 680: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=63, D=POS, \u03c6=PHI1 (shift 2), and X=47, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 63 << 2 ) = +252 = 252 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 154: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=21, D=POS, \u03c6=PHI1 (shift 2), and X=23, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 21 << 2 ) = +84 = 84 (shift 2 = *4). W_active2 = Sign(NEG)*( 23 << 4 ) = -368 = -368 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 46: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=63, D=POS, \u03c6=PHI1 (shift 2), and X=90, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 63 << 2 ) = +252 = 252 (shift 2 = *4). W_active2 = Sign(NEG)*( 90 << 4 ) = -1440 = -1440 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 317: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=75, D=POS, \u03c6=PHI1 (shift 2), and X=10, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 924: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=30, D=POS, \u03c6=PHI1 (shift 2), and X=80, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 522: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 318: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=33, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 664: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=50, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 26: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 271: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 896: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=67, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 943: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=17, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 17 << 4 ) = -272 = -272 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 257: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=57, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 662: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=96, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 96 << 2 ) = +384 = 384 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 512: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 748: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=53, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 53 << 2 ) = +212 = 212 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 783: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 240: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=91, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 91 << 4 ) = -1456 = -1456 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 413: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=55, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 55 << 2 ) = +220 = 220 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 790: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=34, D=POS, \u03c6=PHI1 (shift 2), and X=79, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 34 << 2 ) = +136 = 136 (shift 2 = *4). W_active2 = Sign(NEG)*( 79 << 4 ) = -1264 = -1264 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 984: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=92, D=POS, \u03c6=PHI1 (shift 2), and X=55, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 92 << 2 ) = +368 = 368 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 393: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=14, D=POS, \u03c6=PHI1 (shift 2), and X=82, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 14 << 2 ) = +56 = 56 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 131: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=52, D=POS, \u03c6=PHI1 (shift 2), and X=58, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 58 << 4 ) = -928 = -928 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 96: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=32, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 32 << 2 ) = +128 = 128 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 636: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=21, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 21 << 2 ) = +84 = 84 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 421: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=75, D=POS, \u03c6=PHI1 (shift 2), and X=96, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 96 << 4 ) = -1536 = -1536 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 929: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=45, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 45 << 2 ) = +180 = 180 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 458: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=35, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 35 << 2 ) = +140 = 140 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 578: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=63, D=POS, \u03c6=PHI1 (shift 2), and X=82, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 63 << 2 ) = +252 = 252 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 777: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=52, D=POS, \u03c6=PHI1 (shift 2), and X=79, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 79 << 4 ) = -1264 = -1264 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 117: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 480: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=60, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 60 << 2 ) = +240 = 240 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 774: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=96, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 96 << 4 ) = -1536 = -1536 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 834: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=91, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 91 << 4 ) = -1456 = -1456 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 468: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=48, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 48 << 4 ) = -768 = -768 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 953: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=14, D=POS, \u03c6=PHI1 (shift 2), and X=33, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 14 << 2 ) = +56 = 56 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 757: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 590: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=80, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 594: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 81: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=42, D=POS, \u03c6=PHI1 (shift 2), and X=70, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 70 << 4 ) = -1120 = -1120 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 232: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 48: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=94, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 94 << 2 ) = +376 = 376 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 645: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 234: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=26, D=POS, \u03c6=PHI1 (shift 2), and X=81, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 26 << 2 ) = +104 = 104 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 503: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 756: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=92, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 92 << 4 ) = -1472 = -1472 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 781: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 641: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=34, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 34 << 4 ) = -544 = -544 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 857: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 252: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 968: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=64, D=POS, \u03c6=PHI1 (shift 2), and X=57, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 64 << 2 ) = +256 = 256 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 879: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=98, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 98 << 2 ) = +392 = 392 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 147: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 260: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=59, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 59 << 4 ) = -944 = -944 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 80: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=83, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 83 << 2 ) = +332 = 332 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 125: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=76, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 76 << 2 ) = +304 = 304 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 814: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=50, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 348: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=26, D=POS, \u03c6=PHI1 (shift 2), and X=82, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 26 << 2 ) = +104 = 104 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 535: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=60, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 60 << 2 ) = +240 = 240 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 944: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 67: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 561: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=67, D=POS, \u03c6=PHI1 (shift 2), and X=10, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 642: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=42, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 42 << 4 ) = -672 = -672 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 47: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=60, D=POS, \u03c6=PHI1 (shift 2), and X=85, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 60 << 2 ) = +240 = 240 (shift 2 = *4). W_active2 = Sign(NEG)*( 85 << 4 ) = -1360 = -1360 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 399: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=76, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 76 << 2 ) = +304 = 304 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 823: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=42, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 42 << 4 ) = -672 = -672 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 792: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=77, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 592: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 341: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 354: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=75, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 75 << 4 ) = -1200 = -1200 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 321: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=25, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 935: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=43, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 43 << 4 ) = -688 = -688 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 196: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=40, D=POS, \u03c6=PHI1 (shift 2), and X=16, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 40 << 2 ) = +160 = 160 (shift 2 = *4). W_active2 = Sign(NEG)*( 16 << 4 ) = -256 = -256 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 631: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=27, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 27 << 2 ) = +108 = 108 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 600: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=46, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 647: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=69, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 69 << 2 ) = +276 = 276 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 477: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=56, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 56 << 2 ) = +224 = 224 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 91: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=52, D=POS, \u03c6=PHI1 (shift 2), and X=18, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 18 << 4 ) = -288 = -288 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 923: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=46, D=POS, \u03c6=PHI1 (shift 2), and X=30, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 46 << 2 ) = +184 = 184 (shift 2 = *4). W_active2 = Sign(NEG)*( 30 << 4 ) = -480 = -480 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 643: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=42, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 866: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=77, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 370: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=57, D=POS, \u03c6=PHI1 (shift 2), and X=55, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 633: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=94, D=POS, \u03c6=PHI1 (shift 2), and X=72, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 94 << 2 ) = +376 = 376 (shift 2 = *4). W_active2 = Sign(NEG)*( 72 << 4 ) = -1152 = -1152 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 27: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 201: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=82, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 542: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 119: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=65, D=POS, \u03c6=PHI1 (shift 2), and X=71, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 65 << 2 ) = +260 = 260 (shift 2 = *4). W_active2 = Sign(NEG)*( 71 << 4 ) = -1136 = -1136 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 18: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=91, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 91 << 4 ) = -1456 = -1456 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 749: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=58, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 58 << 4 ) = -928 = -928 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 268: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=64, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 64 << 4 ) = -1024 = -1024 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 737: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=97, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 97 << 2 ) = +388 = 388 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 446: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=61, D=POS, \u03c6=PHI1 (shift 2), and X=93, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 61 << 2 ) = +244 = 244 (shift 2 = *4). W_active2 = Sign(NEG)*( 93 << 4 ) = -1488 = -1488 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 991: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=74, D=POS, \u03c6=PHI1 (shift 2), and X=81, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 772: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=93, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 93 << 4 ) = -1488 = -1488 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 806: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=25, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 25 << 4 ) = -400 = -400 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 752: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=57, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 622: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=32, D=POS, \u03c6=PHI1 (shift 2), and X=33, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 32 << 2 ) = +128 = 128 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 303: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 694: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=81, D=POS, \u03c6=PHI1 (shift 2), and X=54, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 81 << 2 ) = +324 = 324 (shift 2 = *4). W_active2 = Sign(NEG)*( 54 << 4 ) = -864 = -864 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 546: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=24, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 24 << 4 ) = -384 = -384 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 195: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 617: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=96, D=POS, \u03c6=PHI1 (shift 2), and X=45, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 96 << 2 ) = +384 = 384 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 579: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=72, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 72 << 4 ) = -1152 = -1152 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 248: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=32, D=POS, \u03c6=PHI1 (shift 2), and X=94, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 32 << 2 ) = +128 = 128 (shift 2 = *4). W_active2 = Sign(NEG)*( 94 << 4 ) = -1504 = -1504 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 692: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=47, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 180: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=41, D=POS, \u03c6=PHI1 (shift 2), and X=24, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 41 << 2 ) = +164 = 164 (shift 2 = *4). W_active2 = Sign(NEG)*( 24 << 4 ) = -384 = -384 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 83: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=55, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 55 << 2 ) = +220 = 220 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 683: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=72, D=POS, \u03c6=PHI1 (shift 2), and X=34, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 72 << 2 ) = +288 = 288 (shift 2 = *4). W_active2 = Sign(NEG)*( 34 << 4 ) = -544 = -544 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 126: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=10, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 505: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=14, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 14 << 2 ) = +56 = 56 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 15: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=35, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 689: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 717: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 306: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=43, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 43 << 4 ) = -688 = -688 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 358: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 759: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=81, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 81 << 2 ) = +324 = 324 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 338: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=60, D=POS, \u03c6=PHI1 (shift 2), and X=71, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 60 << 2 ) = +240 = 240 (shift 2 = *4). W_active2 = Sign(NEG)*( 71 << 4 ) = -1136 = -1136 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 842: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=28, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 116: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=72, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 72 << 2 ) = +288 = 288 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 852: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=96, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 96 << 2 ) = +384 = 384 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 361: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=16, D=POS, \u03c6=PHI1 (shift 2), and X=67, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 16 << 2 ) = +64 = 64 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 926: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=18, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 18 << 4 ) = -288 = -288 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 801: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=93, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 93 << 2 ) = +372 = 372 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 387: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=37, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 37 << 2 ) = +148 = 148 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 762: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=83, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 83 << 2 ) = +332 = 332 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 487: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=30, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 251: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 904: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=51, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 51 << 2 ) = +204 = 204 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 728: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=32, D=POS, \u03c6=PHI1 (shift 2), and X=71, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 32 << 2 ) = +128 = 128 (shift 2 = *4). W_active2 = Sign(NEG)*( 71 << 4 ) = -1136 = -1136 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 162: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=46, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 343: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=81, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 335: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 430: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=35, D=POS, \u03c6=PHI1 (shift 2), and X=13, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 35 << 2 ) = +140 = 140 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 820: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=37, D=POS, \u03c6=PHI1 (shift 2), and X=63, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 37 << 2 ) = +148 = 148 (shift 2 = *4). W_active2 = Sign(NEG)*( 63 << 4 ) = -1008 = -1008 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 755: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=74, D=POS, \u03c6=PHI1 (shift 2), and X=10, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 985: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=13, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 444: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=14, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 14 << 2 ) = +56 = 56 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 469: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=68, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 68 << 2 ) = +272 = 272 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 70: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=10, D=POS, \u03c6=PHI1 (shift 2), and X=70, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 10 << 2 ) = +40 = 40 (shift 2 = *4). W_active2 = Sign(NEG)*( 70 << 4 ) = -1120 = -1120 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 485: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=35, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 310: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 644: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=81, D=POS, \u03c6=PHI1 (shift 2), and X=35, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 81 << 2 ) = +324 = 324 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 409: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=28, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 934: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=41, D=POS, \u03c6=PHI1 (shift 2), and X=20, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 41 << 2 ) = +164 = 164 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 305: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=13, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 971: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 41: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 796: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 829: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=52, D=POS, \u03c6=PHI1 (shift 2), and X=45, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 632: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 347: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=70, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 70 << 4 ) = -1120 = -1120 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 607: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 133: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=14, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 14 << 4 ) = -224 = -224 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 668: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=98, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 205: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=95, D=POS, \u03c6=PHI1 (shift 2), and X=42, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 42 << 4 ) = -672 = -672 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 369: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 426: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=50, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 50 << 2 ) = +200 = 200 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 876: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 817: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 691: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 141: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 420: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=64, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 64 << 4 ) = -1024 = -1024 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 884: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 741: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=16, D=POS, \u03c6=PHI1 (shift 2), and X=20, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 16 << 2 ) = +64 = 64 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 200: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=71, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 71 << 4 ) = -1136 = -1136 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 620: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=56, D=POS, \u03c6=PHI1 (shift 2), and X=94, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 56 << 2 ) = +224 = 224 (shift 2 = *4). W_active2 = Sign(NEG)*( 94 << 4 ) = -1504 = -1504 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 520: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=16, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 16 << 2 ) = +64 = 64 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 311: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=13, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 888: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=34, D=POS, \u03c6=PHI1 (shift 2), and X=80, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 34 << 2 ) = +136 = 136 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 61: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=97, D=POS, \u03c6=PHI1 (shift 2), and X=50, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 97 << 2 ) = +388 = 388 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 812: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=64, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 64 << 4 ) = -1024 = -1024 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 367: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=63, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 63 << 2 ) = +252 = 252 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 52: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=57, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 501: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=81, D=POS, \u03c6=PHI1 (shift 2), and X=96, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 81 << 2 ) = +324 = 324 (shift 2 = *4). W_active2 = Sign(NEG)*( 96 << 4 ) = -1536 = -1536 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 722: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 963: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=62, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 910: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=57, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 871: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=87, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 87 << 4 ) = -1392 = -1392 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 202: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 359: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=37, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 37 << 2 ) = +148 = 148 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 185: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=39, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 39 << 4 ) = -624 = -624 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 956: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=27, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 886: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=55, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 975: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=95, D=POS, \u03c6=PHI1 (shift 2), and X=65, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 65 << 4 ) = -1040 = -1040 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 974: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=81, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 669: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=25, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 25 << 4 ) = -400 = -400 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 830: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=94, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 94 << 2 ) = +376 = 376 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 853: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=50, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 50 << 2 ) = +200 = 200 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 164: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 713: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=80, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 80 << 2 ) = +320 = 320 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 567: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 143: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=21, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 21 << 2 ) = +84 = 84 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 545: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=17, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 17 << 4 ) = -272 = -272 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 124: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=74, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 84: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=10, D=POS, \u03c6=PHI1 (shift 2), and X=70, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 10 << 2 ) = +40 = 40 (shift 2 = *4). W_active2 = Sign(NEG)*( 70 << 4 ) = -1120 = -1120 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 479: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 340: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=67, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 10: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=76, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 76 << 4 ) = -1216 = -1216 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 213: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 837: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=72, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 72 << 2 ) = +288 = 288 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 146: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 156: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=52, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 52 << 4 ) = -832 = -832 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 166: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=98, D=POS, \u03c6=PHI1 (shift 2), and X=64, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 98 << 2 ) = +392 = 392 (shift 2 = *4). W_active2 = Sign(NEG)*( 64 << 4 ) = -1024 = -1024 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 372: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=30, D=POS, \u03c6=PHI1 (shift 2), and X=33, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 256: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=93, D=POS, \u03c6=PHI1 (shift 2), and X=27, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 93 << 2 ) = +372 = 372 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 835: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=81, D=POS, \u03c6=PHI1 (shift 2), and X=57, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 81 << 2 ) = +324 = 324 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 153: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 970: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 109: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=58, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 58 << 4 ) = -928 = -928 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 434: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=55, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 808: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=88, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 88 << 4 ) = -1408 = -1408 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 171: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=36, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 36 << 2 ) = +144 = 144 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 918: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=82, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 690: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 168: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=46, D=POS, \u03c6=PHI1 (shift 2), and X=57, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 46 << 2 ) = +184 = 184 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 475: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=90, D=POS, \u03c6=PHI1 (shift 2), and X=23, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 90 << 2 ) = +360 = 360 (shift 2 = *4). W_active2 = Sign(NEG)*( 23 << 4 ) = -368 = -368 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 704: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=81, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 130: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=82, D=POS, \u03c6=PHI1 (shift 2), and X=24, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 24 << 4 ) = -384 = -384 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 272: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=92, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 92 << 4 ) = -1472 = -1472 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 969: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 979: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=61, D=POS, \u03c6=PHI1 (shift 2), and X=64, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 61 << 2 ) = +244 = 244 (shift 2 = *4). W_active2 = Sign(NEG)*( 64 << 4 ) = -1024 = -1024 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 309: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 891: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=79, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 79 << 4 ) = -1264 = -1264 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 435: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 889: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 832: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=27, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 27 << 2 ) = +108 = 108 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 449: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=80, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 80 << 2 ) = +320 = 320 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 639: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=67, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 585: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 932: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 322: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=62, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 946: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=40, D=POS, \u03c6=PHI1 (shift 2), and X=93, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 40 << 2 ) = +160 = 160 (shift 2 = *4). W_active2 = Sign(NEG)*( 93 << 4 ) = -1488 = -1488 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 788: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 206: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=16, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 16 << 4 ) = -256 = -256 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 623: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=59, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 59 << 4 ) = -944 = -944 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 345: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=40, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 40 << 2 ) = +160 = 160 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 947: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=87, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 87 << 4 ) = -1392 = -1392 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 106: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=61, D=POS, \u03c6=PHI1 (shift 2), and X=20, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 61 << 2 ) = +244 = 244 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 508: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 897: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=72, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 72 << 4 ) = -1152 = -1152 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 457: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=90, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 90 << 2 ) = +360 = 360 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 101: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=50, D=POS, \u03c6=PHI1 (shift 2), and X=20, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 50 << 2 ) = +200 = 200 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 342: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=25, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 518: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 873: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=77, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 651: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=45, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 911: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=67, D=POS, \u03c6=PHI1 (shift 2), and X=20, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 155: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=37, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 37 << 2 ) = +148 = 148 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 490: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=81, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 81 << 2 ) = +324 = 324 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 571: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=25, D=POS, \u03c6=PHI1 (shift 2), and X=91, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 91 << 4 ) = -1456 = -1456 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 813: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 424: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=72, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 72 << 4 ) = -1152 = -1152 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 491: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=20, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 583: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=93, D=POS, \u03c6=PHI1 (shift 2), and X=34, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 93 << 2 ) = +372 = 372 (shift 2 = *4). W_active2 = Sign(NEG)*( 34 << 4 ) = -544 = -544 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 927: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=35, D=POS, \u03c6=PHI1 (shift 2), and X=26, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 35 << 2 ) = +140 = 140 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 938: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=92, D=POS, \u03c6=PHI1 (shift 2), and X=20, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 92 << 2 ) = +368 = 368 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 254: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=51, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 51 << 2 ) = +204 = 204 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 20: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 30: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 960: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=90, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 90 << 4 ) = -1440 = -1440 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 429: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=91, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 91 << 4 ) = -1456 = -1456 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 137: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=41, D=POS, \u03c6=PHI1 (shift 2), and X=35, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 41 << 2 ) = +164 = 164 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 227: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 976: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=40, D=POS, \u03c6=PHI1 (shift 2), and X=64, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 40 << 2 ) = +160 = 160 (shift 2 = *4). W_active2 = Sign(NEG)*( 64 << 4 ) = -1024 = -1024 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 290: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=27, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 247: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=21, D=POS, \u03c6=PHI1 (shift 2), and X=92, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 21 << 2 ) = +84 = 84 (shift 2 = *4). W_active2 = Sign(NEG)*( 92 << 4 ) = -1472 = -1472 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 440: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 484: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=92, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 92 << 4 ) = -1472 = -1472 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 242: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=51, D=POS, \u03c6=PHI1 (shift 2), and X=77, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 51 << 2 ) = +204 = 204 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 574: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=54, D=POS, \u03c6=PHI1 (shift 2), and X=34, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 54 << 2 ) = +216 = 216 (shift 2 = *4). W_active2 = Sign(NEG)*( 34 << 4 ) = -544 = -544 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 655: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 981: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=35, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 82: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=20, D=POS, \u03c6=PHI1 (shift 2), and X=98, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 20 << 2 ) = +80 = 80 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 198: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=39, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 39 << 4 ) = -624 = -624 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 525: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=93, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 93 << 2 ) = +372 = 372 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 615: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=45, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 45 << 2 ) = +180 = 180 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 209: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=10, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 810: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=20, D=POS, \u03c6=PHI1 (shift 2), and X=52, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 20 << 2 ) = +80 = 80 (shift 2 = *4). W_active2 = Sign(NEG)*( 52 << 4 ) = -832 = -832 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 846: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=28, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 626: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=35, D=POS, \u03c6=PHI1 (shift 2), and X=87, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 35 << 2 ) = +140 = 140 (shift 2 = *4). W_active2 = Sign(NEG)*( 87 << 4 ) = -1392 = -1392 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 554: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=96, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 96 << 4 ) = -1536 = -1536 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 785: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=97, D=POS, \u03c6=PHI1 (shift 2), and X=35, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 97 << 2 ) = +388 = 388 (shift 2 = *4). W_active2 = Sign(NEG)*( 35 << 4 ) = -560 = -560 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 993: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 277: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=42, D=POS, \u03c6=PHI1 (shift 2), and X=51, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 51 << 4 ) = -816 = -816 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 650: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=51, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 51 << 4 ) = -816 = -816 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 648: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=94, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 94 << 4 ) = -1504 = -1504 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 656: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=23, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 23 << 4 ) = -368 = -368 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 612: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=28, D=POS, \u03c6=PHI1 (shift 2), and X=16, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 16 << 4 ) = -256 = -256 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 510: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=84, D=POS, \u03c6=PHI1 (shift 2), and X=52, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 52 << 4 ) = -832 = -832 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 672: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 470: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=85, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 85 << 4 ) = -1360 = -1360 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 951: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=42, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 93: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=65, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 65 << 4 ) = -1040 = -1040 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 531: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=75, D=POS, \u03c6=PHI1 (shift 2), and X=50, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 59: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 707: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=34, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 34 << 4 ) = -544 = -544 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 548: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=58, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 58 << 4 ) = -928 = -928 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 488: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 255: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=46, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 46 << 2 ) = +184 = 184 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 99: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 55: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=50, D=POS, \u03c6=PHI1 (shift 2), and X=76, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 50 << 2 ) = +200 = 200 (shift 2 = *4). W_active2 = Sign(NEG)*( 76 << 4 ) = -1216 = -1216 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 827: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=67, D=POS, \u03c6=PHI1 (shift 2), and X=30, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 30 << 4 ) = -480 = -480 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 989: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=63, D=POS, \u03c6=PHI1 (shift 2), and X=81, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 63 << 2 ) = +252 = 252 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 987: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=39, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 39 << 4 ) = -624 = -624 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 407: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 381: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=74, D=POS, \u03c6=PHI1 (shift 2), and X=80, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 160: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=24, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 24 << 4 ) = -384 = -384 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 344: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=18, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 18 << 4 ) = -288 = -288 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 900: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=16, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 16 << 4 ) = -256 = -256 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 552: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=52, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 52 << 4 ) = -832 = -832 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 35: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=50, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 462: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=62, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 787: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=65, D=POS, \u03c6=PHI1 (shift 2), and X=83, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 65 << 2 ) = +260 = 260 (shift 2 = *4). W_active2 = Sign(NEG)*( 83 << 4 ) = -1328 = -1328 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 523: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=68, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 68 << 2 ) = +272 = 272 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 955: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 175: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=17, D=POS, \u03c6=PHI1 (shift 2), and X=60, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 17 << 2 ) = +68 = 68 (shift 2 = *4). W_active2 = Sign(NEG)*( 60 << 4 ) = -960 = -960 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 730: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=77, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 320: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=84, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 307: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=31, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 31 << 2 ) = +124 = 124 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 390: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=93, D=POS, \u03c6=PHI1 (shift 2), and X=80, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 93 << 2 ) = +372 = 372 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 110: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 778: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=85, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 85 << 4 ) = -1360 = -1360 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 9: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 666: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 471: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=96, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 96 << 2 ) = +384 = 384 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 901: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=81, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 81 << 4 ) = -1296 = -1296 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 557: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=63, D=POS, \u03c6=PHI1 (shift 2), and X=62, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 63 << 2 ) = +252 = 252 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 988: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=69, D=POS, \u03c6=PHI1 (shift 2), and X=98, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 69 << 2 ) = +276 = 276 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 239: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=28, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 28 << 2 ) = +112 = 112 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 539: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=82, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 312: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 958: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=78, D=POS, \u03c6=PHI1 (shift 2), and X=90, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 90 << 4 ) = -1440 = -1440 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 410: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 40: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 366: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=34, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 34 << 2 ) = +136 = 136 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 414: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=96, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 96 << 4 ) = -1536 = -1536 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 284: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 653: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=32, D=POS, \u03c6=PHI1 (shift 2), and X=79, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 32 << 2 ) = +128 = 128 (shift 2 = *4). W_active2 = Sign(NEG)*( 79 << 4 ) = -1264 = -1264 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 564: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 222: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=92, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 92 << 2 ) = +368 = 368 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 44: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=68, D=POS, \u03c6=PHI1 (shift 2), and X=91, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 68 << 2 ) = +272 = 272 (shift 2 = *4). W_active2 = Sign(NEG)*( 91 << 4 ) = -1456 = -1456 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 701: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=74, D=POS, \u03c6=PHI1 (shift 2), and X=67, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 315: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=42, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 42 << 4 ) = -672 = -672 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 437: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 966: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=67, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 506: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=78, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 921: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=89, D=POS, \u03c6=PHI1 (shift 2), and X=43, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 89 << 2 ) = +356 = 356 (shift 2 = *4). W_active2 = Sign(NEG)*( 43 << 4 ) = -688 = -688 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 148: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=14, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 14 << 4 ) = -224 = -224 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 235: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=98, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 98 << 2 ) = +392 = 392 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 629: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=36, D=POS, \u03c6=PHI1 (shift 2), and X=20, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 36 << 2 ) = +144 = 144 (shift 2 = *4). W_active2 = Sign(NEG)*( 20 << 4 ) = -320 = -320 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 637: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=64, D=POS, \u03c6=PHI1 (shift 2), and X=46, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 64 << 2 ) = +256 = 256 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 211: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=90, D=POS, \u03c6=PHI1 (shift 2), and X=45, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 90 << 2 ) = +360 = 360 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 183: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=41, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 41 << 2 ) = +164 = 164 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 266: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=80, D=POS, \u03c6=PHI1 (shift 2), and X=14, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 80 << 2 ) = +320 = 320 (shift 2 = *4). W_active2 = Sign(NEG)*( 14 << 4 ) = -224 = -224 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 259: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=26, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 770: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=90, D=POS, \u03c6=PHI1 (shift 2), and X=18, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 90 << 2 ) = +360 = 360 (shift 2 = *4). W_active2 = Sign(NEG)*( 18 << 4 ) = -288 = -288 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 2: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 208: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=41, D=POS, \u03c6=PHI1 (shift 2), and X=51, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 41 << 2 ) = +164 = 164 (shift 2 = *4). W_active2 = Sign(NEG)*( 51 << 4 ) = -816 = -816 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 887: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=97, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 97 << 2 ) = +388 = 388 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 215: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=98, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 281: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 870: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=50, D=POS, \u03c6=PHI1 (shift 2), and X=48, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 50 << 2 ) = +200 = 200 (shift 2 = *4). W_active2 = Sign(NEG)*( 48 << 4 ) = -768 = -768 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 86: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=72, D=POS, \u03c6=PHI1 (shift 2), and X=90, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 72 << 2 ) = +288 = 288 (shift 2 = *4). W_active2 = Sign(NEG)*( 90 << 4 ) = -1440 = -1440 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 63: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 760: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=89, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 89 << 2 ) = +356 = 356 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 355: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=85, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 85 << 4 ) = -1360 = -1360 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 132: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=85, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 85 << 4 ) = -1360 = -1360 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 731: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 723: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=94, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 94 << 4 ) = -1504 = -1504 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 537: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 902: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=78, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 751: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=93, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 93 << 2 ) = +372 = 372 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 899: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=93, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 93 << 4 ) = -1488 = -1488 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 450: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=57, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 915: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=64, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 64 << 2 ) = +256 = 256 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 194: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=83, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 83 << 2 ) = +332 = 332 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 408: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=37, D=POS, \u03c6=PHI1 (shift 2), and X=18, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 37 << 2 ) = +148 = 148 (shift 2 = *4). W_active2 = Sign(NEG)*( 18 << 4 ) = -288 = -288 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 76: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=94, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 94 << 2 ) = +376 = 376 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 436: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=61, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 61 << 4 ) = -976 = -976 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 726: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=32, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 32 << 2 ) = +128 = 128 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 521: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=25, D=POS, \u03c6=PHI1 (shift 2), and X=44, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 44 << 4 ) = -704 = -704 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 79: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=93, D=POS, \u03c6=PHI1 (shift 2), and X=27, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 93 << 2 ) = +372 = 372 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 803: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=22, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 22 << 4 ) = -352 = -352 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 630: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=74, D=POS, \u03c6=PHI1 (shift 2), and X=23, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 74 << 2 ) = +296 = 296 (shift 2 = *4). W_active2 = Sign(NEG)*( 23 << 4 ) = -368 = -368 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 758: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=37, D=POS, \u03c6=PHI1 (shift 2), and X=33, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 37 << 2 ) = +148 = 148 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 460: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=97, D=POS, \u03c6=PHI1 (shift 2), and X=57, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 97 << 2 ) = +388 = 388 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 678: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=60, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 60 << 4 ) = -960 = -960 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 997: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=100, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 100 << 4 ) = -1600 = -1600 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 97: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=57, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 149: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=53, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 53 << 2 ) = +212 = 212 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 264: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=76, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 76 << 4 ) = -1216 = -1216 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 60: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=33, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 94: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=39, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 39 << 4 ) = -624 = -624 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 964: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=27, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 27 << 2 ) = +108 = 108 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 135: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=96, D=POS, \u03c6=PHI1 (shift 2), and X=98, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 96 << 2 ) = +384 = 384 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 283: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 118: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=64, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 64 << 2 ) = +256 = 256 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 986: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=65, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 65 << 2 ) = +260 = 260 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 519: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 182: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=27, D=POS, \u03c6=PHI1 (shift 2), and X=78, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 27 << 2 ) = +108 = 108 (shift 2 = *4). W_active2 = Sign(NEG)*( 78 << 4 ) = -1248 = -1248 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 850: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=78, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 261: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=55, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 55 << 2 ) = +220 = 220 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 764: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=29, D=POS, \u03c6=PHI1 (shift 2), and X=47, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 29 << 2 ) = +116 = 116 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 467: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=95, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 419: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=29, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 29 << 4 ) = -464 = -464 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 706: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=72, D=POS, \u03c6=PHI1 (shift 2), and X=52, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 72 << 2 ) = +288 = 288 (shift 2 = *4). W_active2 = Sign(NEG)*( 52 << 4 ) = -832 = -832 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 733: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=98, D=POS, \u03c6=PHI1 (shift 2), and X=87, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 98 << 2 ) = +392 = 392 (shift 2 = *4). W_active2 = Sign(NEG)*( 87 << 4 ) = -1392 = -1392 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 818: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=30, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 30 << 2 ) = +120 = 120 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 181: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=59, D=POS, \u03c6=PHI1 (shift 2), and X=15, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 59 << 2 ) = +236 = 236 (shift 2 = *4). W_active2 = Sign(NEG)*( 15 << 4 ) = -240 = -240 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 474: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=31, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 31 << 2 ) = +124 = 124 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 558: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 916: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=39, D=POS, \u03c6=PHI1 (shift 2), and X=83, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 39 << 2 ) = +156 = 156 (shift 2 = *4). W_active2 = Sign(NEG)*( 83 << 4 ) = -1328 = -1328 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 841: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=33, D=POS, \u03c6=PHI1 (shift 2), and X=67, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 33 << 2 ) = +132 = 132 (shift 2 = *4). W_active2 = Sign(NEG)*( 67 << 4 ) = -1072 = -1072 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 75: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=63, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 63 << 4 ) = -1008 = -1008 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 576: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=43, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 43 << 2 ) = +172 = 172 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 453: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=63, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 63 << 4 ) = -1008 = -1008 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 589: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=83, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 83 << 4 ) = -1328 = -1328 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 405: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 802: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=53, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 646: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=19, D=POS, \u03c6=PHI1 (shift 2), and X=30, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 19 << 2 ) = +76 = 76 (shift 2 = *4). W_active2 = Sign(NEG)*( 30 << 4 ) = -480 = -480 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 865: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=72, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 72 << 2 ) = +288 = 288 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 573: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=51, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 51 << 4 ) = -816 = -816 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 144: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=51, D=POS, \u03c6=PHI1 (shift 2), and X=24, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 51 << 2 ) = +204 = 204 (shift 2 = *4). W_active2 = Sign(NEG)*( 24 << 4 ) = -384 = -384 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 11: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=26, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 26 << 2 ) = +104 = 104 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 702: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=46, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 46 << 2 ) = +184 = 184 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 527: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=64, D=POS, \u03c6=PHI1 (shift 2), and X=94, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 64 << 2 ) = +256 = 256 (shift 2 = *4). W_active2 = Sign(NEG)*( 94 << 4 ) = -1504 = -1504 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 580: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=31, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 31 << 2 ) = +124 = 124 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 625: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=21, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 21 << 2 ) = +84 = 84 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 779: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=34, D=POS, \u03c6=PHI1 (shift 2), and X=92, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 34 << 2 ) = +136 = 136 (shift 2 = *4). W_active2 = Sign(NEG)*( 92 << 4 ) = -1472 = -1472 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 122: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=26, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 517: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=96, D=POS, \u03c6=PHI1 (shift 2), and X=58, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 96 << 2 ) = +384 = 384 (shift 2 = *4). W_active2 = Sign(NEG)*( 58 << 4 ) = -928 = -928 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 88: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=67, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 238: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=63, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 63 << 2 ) = +252 = 252 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 89: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=37, D=POS, \u03c6=PHI1 (shift 2), and X=92, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 37 << 2 ) = +148 = 148 (shift 2 = *4). W_active2 = Sign(NEG)*( 92 << 4 ) = -1472 = -1472 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 16: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=73, D=POS, \u03c6=PHI1 (shift 2), and X=33, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 73 << 2 ) = +292 = 292 (shift 2 = *4). W_active2 = Sign(NEG)*( 33 << 4 ) = -528 = -528 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 496: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 270: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=72, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 72 << 2 ) = +288 = 288 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 854: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=10, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 908: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=68, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 68 << 2 ) = +272 = 272 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 104: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=28, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 481: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=25, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 863: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=84, D=POS, \u03c6=PHI1 (shift 2), and X=13, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 948: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=72, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 72 << 4 ) = -1152 = -1152 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 782: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=36, D=POS, \u03c6=PHI1 (shift 2), and X=47, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 36 << 2 ) = +144 = 144 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 688: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 262: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=85, D=POS, \u03c6=PHI1 (shift 2), and X=27, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 85 << 2 ) = +340 = 340 (shift 2 = *4). W_active2 = Sign(NEG)*( 27 << 4 ) = -432 = -432 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 999: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=28, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 28 << 4 ) = -448 = -448 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 657: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=92, D=POS, \u03c6=PHI1 (shift 2), and X=46, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 92 << 2 ) = +368 = 368 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 556: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=61, D=POS, \u03c6=PHI1 (shift 2), and X=99, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 61 << 2 ) = +244 = 244 (shift 2 = *4). W_active2 = Sign(NEG)*( 99 << 4 ) = -1584 = -1584 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 473: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=76, D=POS, \u03c6=PHI1 (shift 2), and X=97, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 76 << 2 ) = +304 = 304 (shift 2 = *4). W_active2 = Sign(NEG)*( 97 << 4 ) = -1552 = -1552 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 761: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=54, D=POS, \u03c6=PHI1 (shift 2), and X=10, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 54 << 2 ) = +216 = 216 (shift 2 = *4). W_active2 = Sign(NEG)*( 10 << 4 ) = -160 = -160 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 207: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=52, D=POS, \u03c6=PHI1 (shift 2), and X=55, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 747: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=48, D=POS, \u03c6=PHI1 (shift 2), and X=36, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 48 << 2 ) = +192 = 192 (shift 2 = *4). W_active2 = Sign(NEG)*( 36 << 4 ) = -576 = -576 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 511: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=42, D=POS, \u03c6=PHI1 (shift 2), and X=59, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 59 << 4 ) = -944 = -944 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 919: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=82, D=POS, \u03c6=PHI1 (shift 2), and X=52, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 52 << 4 ) = -832 = -832 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 267: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=82, D=POS, \u03c6=PHI1 (shift 2), and X=53, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 339: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=18, D=POS, \u03c6=PHI1 (shift 2), and X=69, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 18 << 2 ) = +72 = 72 (shift 2 = *4). W_active2 = Sign(NEG)*( 69 << 4 ) = -1104 = -1104 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 465: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=23, D=POS, \u03c6=PHI1 (shift 2), and X=26, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 23 << 2 ) = +92 = 92 (shift 2 = *4). W_active2 = Sign(NEG)*( 26 << 4 ) = -416 = -416 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 286: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=49, D=POS, \u03c6=PHI1 (shift 2), and X=77, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 881: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=54, D=POS, \u03c6=PHI1 (shift 2), and X=12, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 54 << 2 ) = +216 = 216 (shift 2 = *4). W_active2 = Sign(NEG)*( 12 << 4 ) = -192 = -192 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 524: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 466: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=67, D=POS, \u03c6=PHI1 (shift 2), and X=45, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 189: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=67, D=POS, \u03c6=PHI1 (shift 2), and X=53, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 295: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=36, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 36 << 2 ) = +144 = 144 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 7: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=39, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 39 << 4 ) = -624 = -624 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 365: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=88, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 88 << 2 ) = +352 = 352 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 793: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=11, D=POS, \u03c6=PHI1 (shift 2), and X=58, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 11 << 2 ) = +44 = 44 (shift 2 = *4). W_active2 = Sign(NEG)*( 58 << 4 ) = -928 = -928 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 92: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=91, D=POS, \u03c6=PHI1 (shift 2), and X=47, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 91 << 2 ) = +364 = 364 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 711: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=53, D=POS, \u03c6=PHI1 (shift 2), and X=50, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 53 << 2 ) = +212 = 212 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 627: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=35, D=POS, \u03c6=PHI1 (shift 2), and X=57, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 35 << 2 ) = +140 = 140 (shift 2 = *4). W_active2 = Sign(NEG)*( 57 << 4 ) = -912 = -912 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 152: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=50, D=POS, \u03c6=PHI1 (shift 2), and X=19, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 50 << 2 ) = +200 = 200 (shift 2 = *4). W_active2 = Sign(NEG)*( 19 << 4 ) = -304 = -304 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 112: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=54, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 54 << 4 ) = -864 = -864 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 610: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=51, D=POS, \u03c6=PHI1 (shift 2), and X=49, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 51 << 2 ) = +204 = 204 (shift 2 = *4). W_active2 = Sign(NEG)*( 49 << 4 ) = -784 = -784 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 332: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=95, D=POS, \u03c6=PHI1 (shift 2), and X=46, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 108: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=92, D=POS, \u03c6=PHI1 (shift 2), and X=41, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 92 << 2 ) = +368 = 368 (shift 2 = *4). W_active2 = Sign(NEG)*( 41 << 4 ) = -656 = -656 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 439: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 593: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=78, D=POS, \u03c6=PHI1 (shift 2), and X=73, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 73 << 4 ) = -1168 = -1168 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 39: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=26, D=POS, \u03c6=PHI1 (shift 2), and X=13, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 26 << 2 ) = +104 = 104 (shift 2 = *4). W_active2 = Sign(NEG)*( 13 << 4 ) = -208 = -208 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 526: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=58, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 58 << 2 ) = +232 = 232 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 77: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=89, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 89 << 4 ) = -1424 = -1424 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 203: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=67, D=POS, \u03c6=PHI1 (shift 2), and X=91, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 67 << 2 ) = +268 = 268 (shift 2 = *4). W_active2 = Sign(NEG)*( 91 << 4 ) = -1456 = -1456 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 586: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=82, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 82 << 2 ) = +328 = 328 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 965: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=24, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 24 << 2 ) = +96 = 96 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 297: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=52, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 52 << 2 ) = +208 = 208 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 364: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=37, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 37 << 4 ) = -592 = -592 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 880: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=70, D=POS, \u03c6=PHI1 (shift 2), and X=80, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 70 << 2 ) = +280 = 280 (shift 2 = *4). W_active2 = Sign(NEG)*( 80 << 4 ) = -1280 = -1280 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 872: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=86, D=POS, \u03c6=PHI1 (shift 2), and X=66, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 86 << 2 ) = +344 = 344 (shift 2 = *4). W_active2 = Sign(NEG)*( 66 << 4 ) = -1056 = -1056 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 142: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=69, D=POS, \u03c6=PHI1 (shift 2), and X=90, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 69 << 2 ) = +276 = 276 (shift 2 = *4). W_active2 = Sign(NEG)*( 90 << 4 ) = -1440 = -1440 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 624: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=62, D=POS, \u03c6=PHI1 (shift 2), and X=50, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 62 << 2 ) = +248 = 248 (shift 2 = *4). W_active2 = Sign(NEG)*( 50 << 4 ) = -800 = -800 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 179: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=75, D=POS, \u03c6=PHI1 (shift 2), and X=30, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 30 << 4 ) = -480 = -480 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 275: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=66, D=POS, \u03c6=PHI1 (shift 2), and X=45, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 66 << 2 ) = +264 = 264 (shift 2 = *4). W_active2 = Sign(NEG)*( 45 << 4 ) = -720 = -720 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 660: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=15, D=POS, \u03c6=PHI1 (shift 2), and X=46, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 15 << 2 ) = +60 = 60 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 543: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=62, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 62 << 4 ) = -992 = -992 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 331: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=25, D=POS, \u03c6=PHI1 (shift 2), and X=82, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 25 << 2 ) = +100 = 100 (shift 2 = *4). W_active2 = Sign(NEG)*( 82 << 4 ) = -1312 = -1312 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 447: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=49, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 49 << 2 ) = +196 = 196 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 463: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=27, D=POS, \u03c6=PHI1 (shift 2), and X=21, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 27 << 2 ) = +108 = 108 (shift 2 = *4). W_active2 = Sign(NEG)*( 21 << 4 ) = -336 = -336 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 811: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=45, D=POS, \u03c6=PHI1 (shift 2), and X=55, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 45 << 2 ) = +180 = 180 (shift 2 = *4). W_active2 = Sign(NEG)*( 55 << 4 ) = -880 = -880 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 634: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=99, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 99 << 2 ) = +396 = 396 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 616: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=22, D=POS, \u03c6=PHI1 (shift 2), and X=32, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 22 << 2 ) = +88 = 88 (shift 2 = *4). W_active2 = Sign(NEG)*( 32 << 4 ) = -512 = -512 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 541: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=79, D=POS, \u03c6=PHI1 (shift 2), and X=98, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 79 << 2 ) = +316 = 316 (shift 2 = *4). W_active2 = Sign(NEG)*( 98 << 4 ) = -1568 = -1568 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 937: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=42, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 725: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=44, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 44 << 2 ) = +176 = 176 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 555: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=38, D=POS, \u03c6=PHI1 (shift 2), and X=77, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 38 << 2 ) = +152 = 152 (shift 2 = *4). W_active2 = Sign(NEG)*( 77 << 4 ) = -1232 = -1232 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 233: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=94, D=POS, \u03c6=PHI1 (shift 2), and X=48, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 94 << 2 ) = +376 = 376 (shift 2 = *4). W_active2 = Sign(NEG)*( 48 << 4 ) = -768 = -768 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 29: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=78, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 78 << 2 ) = +312 = 312 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 663: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=97, D=POS, \u03c6=PHI1 (shift 2), and X=84, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 97 << 2 ) = +388 = 388 (shift 2 = *4). W_active2 = Sign(NEG)*( 84 << 4 ) = -1344 = -1344 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 745: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=71, D=POS, \u03c6=PHI1 (shift 2), and X=95, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 71 << 2 ) = +284 = 284 (shift 2 = *4). W_active2 = Sign(NEG)*( 95 << 4 ) = -1520 = -1520 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 378: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=57, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 57 << 2 ) = +228 = 228 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 45: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=75, D=POS, \u03c6=PHI1 (shift 2), and X=31, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 75 << 2 ) = +300 = 300 (shift 2 = *4). W_active2 = Sign(NEG)*( 31 << 4 ) = -496 = -496 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 560: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=89, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 89 << 2 ) = +356 = 356 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 851: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=77, D=POS, \u03c6=PHI1 (shift 2), and X=86, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 77 << 2 ) = +308 = 308 (shift 2 = *4). W_active2 = Sign(NEG)*( 86 << 4 ) = -1376 = -1376 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 738: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=12, D=POS, \u03c6=PHI1 (shift 2), and X=46, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 12 << 2 ) = +48 = 48 (shift 2 = *4). W_active2 = Sign(NEG)*( 46 << 4 ) = -736 = -736 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 540: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=87, D=POS, \u03c6=PHI1 (shift 2), and X=11, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 87 << 2 ) = +348 = 348 (shift 2 = *4). W_active2 = Sign(NEG)*( 11 << 4 ) = -176 = -176 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 385: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=60, D=POS, \u03c6=PHI1 (shift 2), and X=53, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 60 << 2 ) = +240 = 240 (shift 2 = *4). W_active2 = Sign(NEG)*( 53 << 4 ) = -848 = -848 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 502: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=56, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 56 << 2 ) = +224 = 224 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 330: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=26, D=POS, \u03c6=PHI1 (shift 2), and X=85, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 26 << 2 ) = +104 = 104 (shift 2 = *4). W_active2 = Sign(NEG)*( 85 << 4 ) = -1360 = -1360 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 301: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=47, D=POS, \u03c6=PHI1 (shift 2), and X=16, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 47 << 2 ) = +188 = 188 (shift 2 = *4). W_active2 = Sign(NEG)*( 16 << 4 ) = -256 = -256 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 476: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=13, D=POS, \u03c6=PHI1 (shift 2), and X=38, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 13 << 2 ) = +52 = 52 (shift 2 = *4). W_active2 = Sign(NEG)*( 38 << 4 ) = -608 = -608 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 606: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=100, D=POS, \u03c6=PHI1 (shift 2), and X=56, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 100 << 2 ) = +400 = 400 (shift 2 = *4). W_active2 = Sign(NEG)*( 56 << 4 ) = -896 = -896 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 353: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=95, D=POS, \u03c6=PHI1 (shift 2), and X=40, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 95 << 2 ) = +380 = 380 (shift 2 = *4). W_active2 = Sign(NEG)*( 40 << 4 ) = -640 = -640 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 217: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=42, D=POS, \u03c6=PHI1 (shift 2), and X=25, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 42 << 2 ) = +168 = 168 (shift 2 = *4). W_active2 = Sign(NEG)*( 25 << 4 ) = -400 = -400 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 404: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=84, D=POS, \u03c6=PHI1 (shift 2), and X=47, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 84 << 2 ) = +336 = 336 (shift 2 = *4). W_active2 = Sign(NEG)*( 47 << 4 ) = -752 = -752 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 1: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=32, D=POS, \u03c6=PHI1 (shift 2), and X=68, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 32 << 2 ) = +128 = 128 (shift 2 = *4). W_active2 = Sign(NEG)*( 68 << 4 ) = -1088 = -1088 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 862: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=65, D=POS, \u03c6=PHI1 (shift 2), and X=74, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 65 << 2 ) = +260 = 260 (shift 2 = *4). W_active2 = Sign(NEG)*( 74 << 4 ) = -1184 = -1184 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  },
  {
    "task": "math",
    "input": "Math Hard 676: For IKNN-Rl1-A1 Ntarra-DnA phase rotator, compute W_active = Sign(D)*(X<<\u03c6). Given X=53, D=POS, \u03c6=PHI1 (shift 2), and X=25, D=NEG, \u03c6=PHI2 (shift 4). Also compute packing 2x9: d0=5 d1=8 packed? Show steps for agentic researcher.",
    "output": "Math: W_active1 = Sign(POS)*( 53 << 2 ) = +212 = 212 (shift 2 = *4). W_active2 = Sign(NEG)*( 25 << 4 ) = -400 = -400 (shift 4 = *16). Packing 2x9: d0=5 d1=8, packed = d1*9 + d0 = 8*9+5=77, unpack 77%9=5 77//9=8 PASS. Steps: 1) Decode direction and phase 2) Shift 3) Sign. This is Ntarra-DnA 3.17-bit computation for CPU-first LLM.",
    "type": "agentic",
    "focus": "math",
    "difficulty": "hard"
  }
]