| [ |
| { |
| "task": "math", |
| "input": "Math Hard 513: 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=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)*( 12 << 2 ) = +48 = 48 (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 115: 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=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)*( 58 << 2 ) = +232 = 232 (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 287: 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=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)*( 52 << 2 ) = +208 = 208 (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 282: 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=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)*( 69 << 2 ) = +276 = 276 (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 360: 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=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)*( 20 << 2 ) = +80 = 80 (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 308: 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=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)*( 67 << 2 ) = +268 = 268 (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 454: 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=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)*( 44 << 2 ) = +176 = 176 (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 570: 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=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)*( 97 << 2 ) = +388 = 388 (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 443: 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=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)*( 81 << 2 ) = +324 = 324 (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 493: 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=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)*( 24 << 2 ) = +96 = 96 (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 658: 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=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)*( 52 << 2 ) = +208 = 208 (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 931: 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=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)*( 45 << 2 ) = +180 = 180 (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 401: 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=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)*( 54 << 2 ) = +216 = 216 (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 740: 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=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)*( 62 << 2 ) = +248 = 248 (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 221: 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=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)*( 50 << 2 ) = +200 = 200 (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 671: 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=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)*( 93 << 2 ) = +372 = 372 (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 587: 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=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)*( 69 << 2 ) = +276 = 276 (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 400: 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=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)*( 28 << 2 ) = +112 = 112 (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 533: 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=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)*( 51 << 2 ) = +204 = 204 (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 990: 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=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)*( 36 << 2 ) = +144 = 144 (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 350: 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=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)*( 93 << 2 ) = +372 = 372 (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 685: 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=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)*( 10 << 2 ) = +40 = 40 (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 258: 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=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)*( 64 << 2 ) = +256 = 256 (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 819: 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=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)*( 89 << 2 ) = +356 = 356 (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 123: 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 744: 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=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)*( 77 << 2 ) = +308 = 308 (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 243: 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=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)*( 18 << 2 ) = +72 = 72 (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 890: 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=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)*( 63 << 2 ) = +252 = 252 (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 847: 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=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)*( 70 << 2 ) = +280 = 280 (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 855: 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=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)*( 57 << 2 ) = +228 = 228 (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 864: 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=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)*( 64 << 2 ) = +256 = 256 (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 33: 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=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)*( 78 << 2 ) = +312 = 312 (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 500: 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=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)*( 30 << 2 ) = +120 = 120 (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 718: 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=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)*( 96 << 2 ) = +384 = 384 (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 461: 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=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)*( 13 << 2 ) = +52 = 52 (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 679: 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=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)*( 93 << 2 ) = +372 = 372 (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 950: 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=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)*( 41 << 2 ) = +164 = 164 (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 804: 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=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)*( 88 << 2 ) = +352 = 352 (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 174: 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=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)*( 50 << 2 ) = +200 = 200 (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 225: 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 184: 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 129: 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=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)*( 46 << 2 ) = +184 = 184 (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 64: 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=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)*( 45 << 2 ) = +180 = 180 (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 391: 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=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)*( 71 << 2 ) = +284 = 284 (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 848: 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=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)*( 25 << 2 ) = +100 = 100 (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 603: 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=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)*( 39 << 2 ) = +156 = 156 (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 396: 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=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)*( 58 << 2 ) = +232 = 232 (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 229: 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=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)*( 84 << 2 ) = +336 = 336 (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 849: 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=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)*( 56 << 2 ) = +224 = 224 (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 721: 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=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)*( 53 << 2 ) = +212 = 212 (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 957: 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=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)*( 57 << 2 ) = +228 = 228 (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 682: 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 111: 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=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)*( 34 << 2 ) = +136 = 136 (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 187: 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=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)*( 43 << 2 ) = +172 = 172 (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 276: 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=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)*( 33 << 2 ) = +132 = 132 (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 619: 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=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)*( 27 << 2 ) = +108 = 108 (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 3: 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=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)*( 92 << 2 ) = +368 = 368 (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 893: 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=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)*( 23 << 2 ) = +92 = 92 (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 878: 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=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)*( 50 << 2 ) = +200 = 200 (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 601: 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=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)*( 68 << 2 ) = +272 = 272 (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 582: 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=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)*( 41 << 2 ) = +164 = 164 (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 883: 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=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)*( 48 << 2 ) = +192 = 192 (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 826: 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=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)*( 17 << 2 ) = +68 = 68 (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 768: 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=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)*( 81 << 2 ) = +324 = 324 (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 507: 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=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)*( 97 << 2 ) = +388 = 388 (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 874: 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=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)*( 28 << 2 ) = +112 = 112 (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 25: 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=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)*( 14 << 2 ) = +56 = 56 (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 90: 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 432: 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=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)*( 50 << 2 ) = +200 = 200 (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 860: 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 386: 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=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)*( 17 << 2 ) = +68 = 68 (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 138: 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=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)*( 78 << 2 ) = +312 = 312 (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 0: 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=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)*( 96 << 2 ) = +384 = 384 (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 150: 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=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)*( 10 << 2 ) = +40 = 40 (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 602: 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=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)*( 15 << 2 ) = +60 = 60 (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 780: 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=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)*( 99 << 2 ) = +396 = 396 (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 314: 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=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)*( 59 << 2 ) = +236 = 236 (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 831: 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=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)*( 63 << 2 ) = +252 = 252 (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 949: 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=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)*( 46 << 2 ) = +184 = 184 (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 199: 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=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)*( 63 << 2 ) = +252 = 252 (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 483: 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=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)*( 64 << 2 ) = +256 = 256 (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 279: 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=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)*( 94 << 2 ) = +376 = 376 (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 482: 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 549: 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=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)*( 11 << 2 ) = +44 = 44 (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 356: 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=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)*( 83 << 2 ) = +332 = 332 (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 684: 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=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)*( 70 << 2 ) = +280 = 280 (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 677: 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 595: 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=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)*( 46 << 2 ) = +184 = 184 (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 51: 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=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)*( 56 << 2 ) = +224 = 224 (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 36: 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=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)*( 56 << 2 ) = +224 = 224 (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 34: 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=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)*( 97 << 2 ) = +388 = 388 (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 551: 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=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)*( 61 << 2 ) = +244 = 244 (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 529: 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=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)*( 21 << 2 ) = +84 = 84 (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 346: 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=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)*( 31 << 2 ) = +124 = 124 (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 431: 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=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)*( 17 << 2 ) = +68 = 68 (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 588: 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 397: 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=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)*( 57 << 2 ) = +228 = 228 (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 438: 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=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)*( 49 << 2 ) = +196 = 196 (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 451: 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=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)*( 67 << 2 ) = +268 = 268 (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 394: 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=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)*( 16 << 2 ) = +64 = 64 (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 673: 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=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)*( 24 << 2 ) = +96 = 96 (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 22: 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=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)*( 82 << 2 ) = +328 = 328 (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 313: 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=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)*( 57 << 2 ) = +228 = 228 (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 157: 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=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)*( 60 << 2 ) = +240 = 240 (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 296: 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 351: 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=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)*( 36 << 2 ) = +144 = 144 (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 328: 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=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)*( 37 << 2 ) = +148 = 148 (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 6: 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=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)*( 68 << 2 ) = +272 = 272 (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 304: 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=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)*( 24 << 2 ) = +96 = 96 (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 69: 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 868: 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=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)*( 69 << 2 ) = +276 = 276 (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 742: 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=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)*( 36 << 2 ) = +144 = 144 (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 172: 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=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)*( 33 << 2 ) = +132 = 132 (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 37: 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=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)*( 67 << 2 ) = +268 = 268 (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 833: 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=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)*( 64 << 2 ) = +256 = 256 (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 337: 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=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)*( 28 << 2 ) = +112 = 112 (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 177: 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 464: 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=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)*( 64 << 2 ) = +256 = 256 (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 31: 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=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)*( 14 << 2 ) = +56 = 56 (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 327: 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 809: 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=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)*( 80 << 2 ) = +320 = 320 (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 795: 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=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)*( 94 << 2 ) = +376 = 376 (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 5: 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 698: 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=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)*( 84 << 2 ) = +336 = 336 (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 159: 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=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)*( 35 << 2 ) = +140 = 140 (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 498: 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=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)*( 79 << 2 ) = +316 = 316 (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 223: 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=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)*( 82 << 2 ) = +328 = 328 (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 14: 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=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)*( 85 << 2 ) = +340 = 340 (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 373: 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=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)*( 59 << 2 ) = +236 = 236 (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 581: 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=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)*( 32 << 2 ) = +128 = 128 (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 151: 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=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)*( 24 << 2 ) = +96 = 96 (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 329: 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=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)*( 50 << 2 ) = +200 = 200 (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 954: 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 936: 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=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)*( 76 << 2 ) = +304 = 304 (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 875: 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 371: 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=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)*( 73 << 2 ) = +292 = 292 (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 388: 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=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)*( 91 << 2 ) = +364 = 364 (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 843: 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=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)*( 17 << 2 ) = +68 = 68 (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 885: 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=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)*( 87 << 2 ) = +348 = 348 (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 455: 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=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)*( 90 << 2 ) = +360 = 360 (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 441: 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=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)*( 31 << 2 ) = +124 = 124 (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 448: 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=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)*( 11 << 2 ) = +44 = 44 (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 495: 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=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)*( 95 << 2 ) = +380 = 380 (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 754: 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=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)*( 97 << 2 ) = +388 = 388 (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 861: 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=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)*( 73 << 2 ) = +292 = 292 (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 107: 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=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)*( 72 << 2 ) = +288 = 288 (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 983: 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=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)*( 11 << 2 ) = +44 = 44 (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 497: 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=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)*( 79 << 2 ) = +316 = 316 (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 799: 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=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)*( 26 << 2 ) = +104 = 104 (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 712: 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=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)*( 57 << 2 ) = +228 = 228 (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 459: 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=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)*( 16 << 2 ) = +64 = 64 (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 550: 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=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)*( 40 << 2 ) = +160 = 160 (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 596: 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=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)*( 50 << 2 ) = +200 = 200 (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 62: 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=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)*( 22 << 2 ) = +88 = 88 (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 982: 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=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)*( 36 << 2 ) = +144 = 144 (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 50: 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=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)*( 70 << 2 ) = +280 = 280 (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 816: 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=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)*( 22 << 2 ) = +88 = 88 (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 4: 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=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)*( 18 << 2 ) = +72 = 72 (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 43: 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=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)*( 70 << 2 ) = +280 = 280 (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 19: 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=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)*( 57 << 2 ) = +228 = 228 (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 456: 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=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)*( 20 << 2 ) = +80 = 80 (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 244: 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=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)*( 70 << 2 ) = +280 = 280 (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 844: 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" |
| }, |
| { |
| "task": "math", |
| "input": "Math Hard 822: 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=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)*( 42 << 2 ) = +168 = 168 (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 56: 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=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)*( 45 << 2 ) = +180 = 180 (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 288: 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=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)*( 34 << 2 ) = +136 = 136 (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 544: 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=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)*( 31 << 2 ) = +124 = 124 (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 178: 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=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)*( 43 << 2 ) = +172 = 172 (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 193: 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 173: 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=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)*( 43 << 2 ) = +172 = 172 (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 858: 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=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)*( 68 << 2 ) = +272 = 272 (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 32: 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=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)*( 98 << 2 ) = +392 = 392 (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 100: 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=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)*( 46 << 2 ) = +184 = 184 (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 21: 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=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)*( 21 << 2 ) = +84 = 84 (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 959: 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=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)*( 31 << 2 ) = +124 = 124 (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 188: 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 805: 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=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)*( 25 << 2 ) = +100 = 100 (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 190: 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=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)*( 70 << 2 ) = +280 = 280 (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 402: 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=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)*( 46 << 2 ) = +184 = 184 (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 127: 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=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)*( 68 << 2 ) = +272 = 272 (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 766: 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=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)*( 73 << 2 ) = +292 = 292 (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 204: 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=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)*( 51 << 2 ) = +204 = 204 (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 693: 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=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)*( 83 << 2 ) = +332 = 332 (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 292: 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=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)*( 30 << 2 ) = +120 = 120 (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 575: 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=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)*( 41 << 2 ) = +164 = 164 (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 293: 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 618: 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=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)*( 96 << 2 ) = +384 = 384 (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 709: 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=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)*( 34 << 2 ) = +136 = 136 (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 794: 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=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)*( 40 << 2 ) = +160 = 160 (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 504: 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=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)*( 45 << 2 ) = +180 = 180 (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 334: 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=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)*( 65 << 2 ) = +260 = 260 (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 649: 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=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)*( 67 << 2 ) = +268 = 268 (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 917: 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=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)*( 51 << 2 ) = +204 = 204 (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 608: 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=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)*( 47 << 2 ) = +188 = 188 (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 945: 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=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)*( 23 << 2 ) = +92 = 92 (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 836: 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=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)*( 13 << 2 ) = +52 = 52 (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 165: 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=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)*( 64 << 2 ) = +256 = 256 (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 995: 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=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)*( 92 << 2 ) = +368 = 368 (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 98: 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=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)*( 44 << 2 ) = +176 = 176 (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 882: 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=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)*( 72 << 2 ) = +288 = 288 (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 478: 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=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)*( 49 << 2 ) = +196 = 196 (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 614: 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=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)*( 48 << 2 ) = +192 = 192 (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 316: 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=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)*( 100 << 2 ) = +400 = 400 (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 418: 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=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)*( 74 << 2 ) = +296 = 296 (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 278: 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=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)*( 91 << 2 ) = +364 = 364 (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 763: 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=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)*( 35 << 2 ) = +140 = 140 (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 687: 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=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)*( 80 << 2 ) = +320 = 320 (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 727: 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=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)*( 58 << 2 ) = +232 = 232 (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 599: 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=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)*( 47 << 2 ) = +188 = 188 (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" |
| } |
| ] |
