family stringclasses 1 value | question_id int64 0 2 | signal_type stringclasses 2 values | amplitude_scale float64 0.5 2.5 | frequency_cycles float64 1 16 | phase_deg float64 0 240 ⌀ | time_step int64 0 255 | p_value float64 3.5 4.5 | prompt stringlengths 59 76 | ground_truth float64 0.52 2.33 | symbolic_baseline_answer float64 0.52 2.33 |
|---|---|---|---|---|---|---|---|---|---|---|
linear_system | 0 | chirp | 1 | 4.515625 | null | 60 | 4.039018 | Solve this system for x:
4.039018064403216x + 1y = 7
1x + 5y = 11
FINAL: | 1.25032 | 1.25032 |
linear_system | 0 | chirp | 1 | 4.574219 | null | 61 | 4.017159 | Solve this system for x:
4.0171594624689x + 1y = 7
1x + 5y = 11
FINAL: | 1.25748 | 1.25748 |
linear_system | 0 | chirp | 1 | 4.632813 | null | 62 | 3.865688 | Solve this system for x:
3.8656882090306075x + 1y = 7
1x + 5y = 11
FINAL: | 1.30944 | 1.30944 |
linear_system | 0 | chirp | 1 | 4.691406 | null | 63 | 4.196621 | Solve this system for x:
4.196621097486248x + 1y = 7
1x + 5y = 11
FINAL: | 1.201015 | 1.201015 |
linear_system | 0 | chirp | 1 | 4.75 | null | 64 | 4 | Solve this system for x:
3.9999999999999796x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 4.808594 | null | 65 | 3.803379 | Solve this system for x:
3.803378902513757x + 1y = 7
1x + 5y = 11
FINAL: | 1.332083 | 1.332083 |
linear_system | 0 | chirp | 1 | 4.867188 | null | 66 | 3.865688 | Solve this system for x:
3.865688209030601x + 1y = 7
1x + 5y = 11
FINAL: | 1.30944 | 1.30944 |
linear_system | 0 | chirp | 1 | 4.925781 | null | 67 | 3.982841 | Solve this system for x:
3.9828405375311093x + 1y = 7
1x + 5y = 11
FINAL: | 1.268888 | 1.268888 |
linear_system | 0 | chirp | 1 | 4.984375 | null | 68 | 4.039018 | Solve this system for x:
4.039018064403243x + 1y = 7
1x + 5y = 11
FINAL: | 1.25032 | 1.25032 |
linear_system | 0 | chirp | 1 | 5.042969 | null | 69 | 4.022044 | Solve this system for x:
4.022044441458799x + 1y = 7
1x + 5y = 11
FINAL: | 1.255872 | 1.255872 |
linear_system | 0 | chirp | 1 | 5.101563 | null | 70 | 3.932622 | Solve this system for x:
3.932622029321565x + 1y = 7
1x + 5y = 11
FINAL: | 1.285959 | 1.285959 |
linear_system | 0 | chirp | 1 | 5.160156 | null | 71 | 3.816177 | Solve this system for x:
3.816177229661999x + 1y = 7
1x + 5y = 11
FINAL: | 1.327369 | 1.327369 |
linear_system | 0 | chirp | 1 | 5.21875 | null | 72 | 3.858579 | Solve this system for x:
3.8585786437626712x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 5.277344 | null | 73 | 4.139675 | Solve this system for x:
4.139675249881786x + 1y = 7
1x + 5y = 11
FINAL: | 1.218375 | 1.218375 |
linear_system | 0 | chirp | 1 | 5.335938 | null | 74 | 4.085511 | Solve this system for x:
4.08551101868608x + 1y = 7
1x + 5y = 11
FINAL: | 1.235359 | 1.235359 |
linear_system | 0 | chirp | 1 | 5.394531 | null | 75 | 3.807914 | Solve this system for x:
3.8079138961168804x + 1y = 7
1x + 5y = 11
FINAL: | 1.330409 | 1.330409 |
linear_system | 0 | chirp | 1 | 5.453125 | null | 76 | 4.196157 | Solve this system for x:
4.196157056080645x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | chirp | 1 | 5.511719 | null | 77 | 3.809339 | Solve this system for x:
3.8093387919291657x + 1y = 7
1x + 5y = 11
FINAL: | 1.329883 | 1.329883 |
linear_system | 0 | chirp | 1 | 5.570313 | null | 78 | 4.199759 | Solve this system for x:
4.199759091241034x + 1y = 7
1x + 5y = 11
FINAL: | 1.200072 | 1.200072 |
linear_system | 0 | chirp | 1 | 5.628906 | null | 79 | 3.832355 | Solve this system for x:
3.8323550588890147x + 1y = 7
1x + 5y = 11
FINAL: | 1.321457 | 1.321457 |
linear_system | 0 | chirp | 1 | 5.6875 | null | 80 | 4 | Solve this system for x:
3.999999999999994x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 5.746094 | null | 81 | 4.195663 | Solve this system for x:
4.195663474143919x + 1y = 7
1x + 5y = 11
FINAL: | 1.201302 | 1.201302 |
linear_system | 0 | chirp | 1 | 5.804688 | null | 82 | 3.990186 | Solve this system for x:
3.990186465134512x + 1y = 7
1x + 5y = 11
FINAL: | 1.266428 | 1.266428 |
linear_system | 0 | chirp | 1 | 5.863281 | null | 83 | 3.822472 | Solve this system for x:
3.8224720759194253x + 1y = 7
1x + 5y = 11
FINAL: | 1.325062 | 1.325062 |
linear_system | 0 | chirp | 1 | 5.921875 | null | 84 | 3.803843 | Solve this system for x:
3.8038429439193533x + 1y = 7
1x + 5y = 11
FINAL: | 1.331912 | 1.331912 |
linear_system | 0 | chirp | 1 | 5.980469 | null | 85 | 3.824786 | Solve this system for x:
3.824785981160925x + 1y = 7
1x + 5y = 11
FINAL: | 1.324216 | 1.324216 |
linear_system | 0 | chirp | 1 | 6.039063 | null | 86 | 3.819202 | Solve this system for x:
3.819202141375317x + 1y = 7
1x + 5y = 11
FINAL: | 1.326259 | 1.326259 |
linear_system | 0 | chirp | 1 | 6.097656 | null | 87 | 3.800015 | Solve this system for x:
3.800015059632171x + 1y = 7
1x + 5y = 11
FINAL: | 1.333328 | 1.333328 |
linear_system | 0 | chirp | 1 | 6.15625 | null | 88 | 3.858579 | Solve this system for x:
3.858578643762683x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 6.214844 | null | 89 | 4.074263 | Solve this system for x:
4.074263438790361x + 1y = 7
1x + 5y = 11
FINAL: | 1.238945 | 1.238945 |
linear_system | 0 | chirp | 1 | 6.273438 | null | 90 | 4.188309 | Solve this system for x:
4.1883088130366x + 1y = 7
1x + 5y = 11
FINAL: | 1.203518 | 1.203518 |
linear_system | 0 | chirp | 1 | 6.332031 | null | 91 | 3.875028 | Solve this system for x:
3.8750281023715214x + 1y = 7
1x + 5y = 11
FINAL: | 1.306112 | 1.306112 |
linear_system | 0 | chirp | 1 | 6.390625 | null | 92 | 3.960982 | Solve this system for x:
3.9609819355967373x + 1y = 7
1x + 5y = 11
FINAL: | 1.276262 | 1.276262 |
linear_system | 0 | chirp | 1 | 6.449219 | null | 93 | 4.128766 | Solve this system for x:
4.12876630857797x + 1y = 7
1x + 5y = 11
FINAL: | 1.221758 | 1.221758 |
linear_system | 0 | chirp | 1 | 6.507813 | null | 94 | 3.85181 | Solve this system for x:
3.8518097749289932x + 1y = 7
1x + 5y = 11
FINAL: | 1.314417 | 1.314417 |
linear_system | 0 | chirp | 1 | 6.566406 | null | 95 | 4.113146 | Solve this system for x:
4.113146362156771x + 1y = 7
1x + 5y = 11
FINAL: | 1.226634 | 1.226634 |
linear_system | 0 | chirp | 1 | 6.625 | null | 96 | 4 | Solve this system for x:
3.999999999999968x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 6.683594 | null | 97 | 3.835082 | Solve this system for x:
3.8350821394430152x + 1y = 7
1x + 5y = 11
FINAL: | 1.320465 | 1.320465 |
linear_system | 0 | chirp | 1 | 6.742188 | null | 98 | 4.14819 | Solve this system for x:
4.148190225070977x + 1y = 7
1x + 5y = 11
FINAL: | 1.215747 | 1.215747 |
linear_system | 0 | chirp | 1 | 6.800781 | null | 99 | 4.153033 | Solve this system for x:
4.153033453124467x + 1y = 7
1x + 5y = 11
FINAL: | 1.214257 | 1.214257 |
linear_system | 0 | chirp | 1 | 6.859375 | null | 100 | 3.960982 | Solve this system for x:
3.960981935596736x + 1y = 7
1x + 5y = 11
FINAL: | 1.276262 | 1.276262 |
linear_system | 0 | chirp | 1 | 6.917969 | null | 101 | 3.843853 | Solve this system for x:
3.8438525542855952x + 1y = 7
1x + 5y = 11
FINAL: | 1.317287 | 1.317287 |
linear_system | 0 | chirp | 1 | 6.976563 | null | 102 | 3.811691 | Solve this system for x:
3.8116911869633836x + 1y = 7
1x + 5y = 11
FINAL: | 1.329017 | 1.329017 |
linear_system | 0 | chirp | 1 | 7.035156 | null | 103 | 3.814299 | Solve this system for x:
3.8142987839053446x + 1y = 7
1x + 5y = 11
FINAL: | 1.328058 | 1.328058 |
linear_system | 0 | chirp | 1 | 7.09375 | null | 104 | 3.858579 | Solve this system for x:
3.858578643762649x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 7.152344 | null | 105 | 3.997546 | Solve this system for x:
3.9975456923428334x + 1y = 7
1x + 5y = 11
FINAL: | 1.263974 | 1.263974 |
linear_system | 0 | chirp | 1 | 7.210938 | null | 106 | 4.180798 | Solve this system for x:
4.180797858624682x + 1y = 7
1x + 5y = 11
FINAL: | 1.205788 | 1.205788 |
linear_system | 0 | chirp | 1 | 7.269531 | null | 107 | 4.096437 | Solve this system for x:
4.096436754415858x + 1y = 7
1x + 5y = 11
FINAL: | 1.231895 | 1.231895 |
linear_system | 0 | chirp | 1 | 7.328125 | null | 108 | 3.803843 | Solve this system for x:
3.8038429439193537x + 1y = 7
1x + 5y = 11
FINAL: | 1.331912 | 1.331912 |
linear_system | 0 | chirp | 1 | 7.386719 | null | 109 | 4.092108 | Solve this system for x:
4.092107742191657x + 1y = 7
1x + 5y = 11
FINAL: | 1.233265 | 1.233265 |
linear_system | 0 | chirp | 1 | 7.445313 | null | 110 | 4.009814 | Solve this system for x:
4.009813534865493x + 1y = 7
1x + 5y = 11
FINAL: | 1.259904 | 1.259904 |
linear_system | 0 | chirp | 1 | 7.503906 | null | 111 | 3.958578 | Solve this system for x:
3.9585777247615x + 1y = 7
1x + 5y = 11
FINAL: | 1.277079 | 1.277079 |
linear_system | 0 | chirp | 1 | 7.5625 | null | 112 | 4 | Solve this system for x:
4.000000000000044x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 7.621094 | null | 113 | 4.109065 | Solve this system for x:
4.109064997684359x + 1y = 7
1x + 5y = 11
FINAL: | 1.227915 | 1.227915 |
linear_system | 0 | chirp | 1 | 7.679688 | null | 114 | 3.800241 | Solve this system for x:
3.8002409087589664x + 1y = 7
1x + 5y = 11
FINAL: | 1.333244 | 1.333244 |
linear_system | 0 | chirp | 1 | 7.738281 | null | 115 | 4.060401 | Solve this system for x:
4.0604011898638435x + 1y = 7
1x + 5y = 11
FINAL: | 1.243394 | 1.243394 |
linear_system | 0 | chirp | 1 | 7.796875 | null | 116 | 4.196157 | Solve this system for x:
4.1961570560806445x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | chirp | 1 | 7.855469 | null | 117 | 4.055704 | Solve this system for x:
4.05570393787696x + 1y = 7
1x + 5y = 11
FINAL: | 1.244909 | 1.244909 |
linear_system | 0 | chirp | 1 | 7.914063 | null | 118 | 3.914489 | Solve this system for x:
3.9144889813139145x + 1y = 7
1x + 5y = 11
FINAL: | 1.292237 | 1.292237 |
linear_system | 0 | chirp | 1 | 7.972656 | null | 119 | 3.856854 | Solve this system for x:
3.856853834943207x + 1y = 7
1x + 5y = 11
FINAL: | 1.312604 | 1.312604 |
linear_system | 0 | chirp | 1 | 8.03125 | null | 120 | 3.858579 | Solve this system for x:
3.8585786437626983x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 8.089844 | null | 121 | 3.921202 | Solve this system for x:
3.9212015919877383x + 1y = 7
1x + 5y = 11
FINAL: | 1.289906 | 1.289906 |
linear_system | 0 | chirp | 1 | 8.148438 | null | 122 | 4.067378 | Solve this system for x:
4.067377970678385x + 1y = 7
1x + 5y = 11
FINAL: | 1.241151 | 1.241151 |
linear_system | 0 | chirp | 1 | 8.207031 | null | 123 | 4.198781 | Solve this system for x:
4.198781394000471x + 1y = 7
1x + 5y = 11
FINAL: | 1.200366 | 1.200366 |
linear_system | 0 | chirp | 1 | 8.265625 | null | 124 | 4.039018 | Solve this system for x:
4.039018064403296x + 1y = 7
1x + 5y = 11
FINAL: | 1.25032 | 1.25032 |
linear_system | 0 | chirp | 1 | 8.324219 | null | 125 | 3.800737 | Solve this system for x:
3.800737477563438x + 1y = 7
1x + 5y = 11
FINAL: | 1.33306 | 1.33306 |
linear_system | 0 | chirp | 1 | 8.382813 | null | 126 | 4.134312 | Solve this system for x:
4.1343117909693925x + 1y = 7
1x + 5y = 11
FINAL: | 1.220035 | 1.220035 |
linear_system | 0 | chirp | 1 | 8.441406 | null | 127 | 3.963392 | Solve this system for x:
3.963392022408957x + 1y = 7
1x + 5y = 11
FINAL: | 1.275445 | 1.275445 |
linear_system | 0 | chirp | 1 | 8.5 | null | 128 | 4 | Solve this system for x:
3.999999999999925x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 8.558594 | null | 129 | 3.963392 | Solve this system for x:
3.9633920224089842x + 1y = 7
1x + 5y = 11
FINAL: | 1.275445 | 1.275445 |
linear_system | 0 | chirp | 1 | 8.617188 | null | 130 | 4.134312 | Solve this system for x:
4.134311790969352x + 1y = 7
1x + 5y = 11
FINAL: | 1.220035 | 1.220035 |
linear_system | 0 | chirp | 1 | 8.675781 | null | 131 | 3.800737 | Solve this system for x:
3.800737477563439x + 1y = 7
1x + 5y = 11
FINAL: | 1.33306 | 1.33306 |
linear_system | 0 | chirp | 1 | 8.734375 | null | 132 | 4.039018 | Solve this system for x:
4.039018064403226x + 1y = 7
1x + 5y = 11
FINAL: | 1.25032 | 1.25032 |
linear_system | 0 | chirp | 1 | 8.792969 | null | 133 | 4.198781 | Solve this system for x:
4.1987813940004655x + 1y = 7
1x + 5y = 11
FINAL: | 1.200366 | 1.200366 |
linear_system | 0 | chirp | 1 | 8.851563 | null | 134 | 4.067378 | Solve this system for x:
4.067377970678399x + 1y = 7
1x + 5y = 11
FINAL: | 1.241151 | 1.241151 |
linear_system | 0 | chirp | 1 | 8.910156 | null | 135 | 3.921202 | Solve this system for x:
3.92120159198781x + 1y = 7
1x + 5y = 11
FINAL: | 1.289906 | 1.289906 |
linear_system | 0 | chirp | 1 | 8.96875 | null | 136 | 3.858579 | Solve this system for x:
3.8585786437626695x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 9.027344 | null | 137 | 3.856854 | Solve this system for x:
3.856853834943223x + 1y = 7
1x + 5y = 11
FINAL: | 1.312604 | 1.312604 |
linear_system | 0 | chirp | 1 | 9.085938 | null | 138 | 3.914489 | Solve this system for x:
3.914488981313992x + 1y = 7
1x + 5y = 11
FINAL: | 1.292237 | 1.292237 |
linear_system | 0 | chirp | 1 | 9.144531 | null | 139 | 4.055704 | Solve this system for x:
4.055703937877016x + 1y = 7
1x + 5y = 11
FINAL: | 1.244909 | 1.244909 |
linear_system | 0 | chirp | 1 | 9.203125 | null | 140 | 4.196157 | Solve this system for x:
4.19615705608065x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | chirp | 1 | 9.261719 | null | 141 | 4.060401 | Solve this system for x:
4.060401189863928x + 1y = 7
1x + 5y = 11
FINAL: | 1.243394 | 1.243394 |
linear_system | 0 | chirp | 1 | 9.320313 | null | 142 | 3.800241 | Solve this system for x:
3.800240908758963x + 1y = 7
1x + 5y = 11
FINAL: | 1.333244 | 1.333244 |
linear_system | 0 | chirp | 1 | 9.378906 | null | 143 | 4.109065 | Solve this system for x:
4.109064997684314x + 1y = 7
1x + 5y = 11
FINAL: | 1.227915 | 1.227915 |
linear_system | 0 | chirp | 1 | 9.4375 | null | 144 | 4 | Solve this system for x:
4.000000000000035x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 9.496094 | null | 145 | 3.958578 | Solve this system for x:
3.958577724761482x + 1y = 7
1x + 5y = 11
FINAL: | 1.277079 | 1.277079 |
linear_system | 0 | chirp | 1 | 9.554688 | null | 146 | 4.009814 | Solve this system for x:
4.009813534865539x + 1y = 7
1x + 5y = 11
FINAL: | 1.259904 | 1.259904 |
linear_system | 0 | chirp | 1 | 9.613281 | null | 147 | 4.092108 | Solve this system for x:
4.092107742191672x + 1y = 7
1x + 5y = 11
FINAL: | 1.233265 | 1.233265 |
linear_system | 0 | chirp | 1 | 9.671875 | null | 148 | 3.803843 | Solve this system for x:
3.803842943919356x + 1y = 7
1x + 5y = 11
FINAL: | 1.331912 | 1.331912 |
linear_system | 0 | chirp | 1 | 9.730469 | null | 149 | 4.096437 | Solve this system for x:
4.096436754415813x + 1y = 7
1x + 5y = 11
FINAL: | 1.231895 | 1.231895 |
linear_system | 0 | chirp | 1 | 9.789063 | null | 150 | 4.180798 | Solve this system for x:
4.180797858624653x + 1y = 7
1x + 5y = 11
FINAL: | 1.205788 | 1.205788 |
linear_system | 0 | chirp | 1 | 9.847656 | null | 151 | 3.997546 | Solve this system for x:
3.997545692342739x + 1y = 7
1x + 5y = 11
FINAL: | 1.263974 | 1.263974 |
linear_system | 0 | chirp | 1 | 9.90625 | null | 152 | 3.858579 | Solve this system for x:
3.858578643762627x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 9.964844 | null | 153 | 3.814299 | Solve this system for x:
3.8142987839053566x + 1y = 7
1x + 5y = 11
FINAL: | 1.328058 | 1.328058 |
linear_system | 0 | chirp | 1 | 10.023438 | null | 154 | 3.811691 | Solve this system for x:
3.811691186963385x + 1y = 7
1x + 5y = 11
FINAL: | 1.329017 | 1.329017 |
linear_system | 0 | chirp | 1 | 10.082031 | null | 155 | 3.843853 | Solve this system for x:
3.84385255428558x + 1y = 7
1x + 5y = 11
FINAL: | 1.317287 | 1.317287 |
linear_system | 0 | chirp | 1 | 10.140625 | null | 156 | 3.960982 | Solve this system for x:
3.9609819355966853x + 1y = 7
1x + 5y = 11
FINAL: | 1.276262 | 1.276262 |
linear_system | 0 | chirp | 1 | 10.199219 | null | 157 | 4.153033 | Solve this system for x:
4.153033453124415x + 1y = 7
1x + 5y = 11
FINAL: | 1.214257 | 1.214257 |
linear_system | 0 | chirp | 1 | 10.257813 | null | 158 | 4.14819 | Solve this system for x:
4.1481902250710485x + 1y = 7
1x + 5y = 11
FINAL: | 1.215747 | 1.215747 |
linear_system | 0 | chirp | 1 | 10.316406 | null | 159 | 3.835082 | Solve this system for x:
3.8350821394429886x + 1y = 7
1x + 5y = 11
FINAL: | 1.320465 | 1.320465 |
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