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 | 1 | chirp | 1 | 7.09375 | null | 104 | 3.858579 | Solve this system for x:
3.858578643762649x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 7.152344 | null | 105 | 3.997546 | Solve this system for x:
3.9975456923428334x + 2y = 8
1x + 3y = 9
FINAL: | 0.600442 | 0.600442 |
linear_system | 1 | chirp | 1 | 7.210938 | null | 106 | 4.180798 | Solve this system for x:
4.180797858624682x + 2y = 8
1x + 3y = 9
FINAL: | 0.569131 | 0.569131 |
linear_system | 1 | chirp | 1 | 7.269531 | null | 107 | 4.096437 | Solve this system for x:
4.096436754415858x + 2y = 8
1x + 3y = 9
FINAL: | 0.583129 | 0.583129 |
linear_system | 1 | chirp | 1 | 7.328125 | null | 108 | 3.803843 | Solve this system for x:
3.8038429439193537x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | chirp | 1 | 7.386719 | null | 109 | 4.092108 | Solve this system for x:
4.092107742191657x + 2y = 8
1x + 3y = 9
FINAL: | 0.583866 | 0.583866 |
linear_system | 1 | chirp | 1 | 7.445313 | null | 110 | 4.009814 | Solve this system for x:
4.009813534865493x + 2y = 8
1x + 3y = 9
FINAL: | 0.598239 | 0.598239 |
linear_system | 1 | chirp | 1 | 7.503906 | null | 111 | 3.958578 | Solve this system for x:
3.9585777247615x + 2y = 8
1x + 3y = 9
FINAL: | 0.60755 | 0.60755 |
linear_system | 1 | chirp | 1 | 7.5625 | null | 112 | 4 | Solve this system for x:
4.000000000000044x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 7.621094 | null | 113 | 4.109065 | Solve this system for x:
4.109064997684359x + 2y = 8
1x + 3y = 9
FINAL: | 0.58099 | 0.58099 |
linear_system | 1 | chirp | 1 | 7.679688 | null | 114 | 3.800241 | Solve this system for x:
3.8002409087589664x + 2y = 8
1x + 3y = 9
FINAL: | 0.638249 | 0.638249 |
linear_system | 1 | chirp | 1 | 7.738281 | null | 115 | 4.060401 | Solve this system for x:
4.0604011898638435x + 2y = 8
1x + 3y = 9
FINAL: | 0.589321 | 0.589321 |
linear_system | 1 | chirp | 1 | 7.796875 | null | 116 | 4.196157 | Solve this system for x:
4.1961570560806445x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | chirp | 1 | 7.855469 | null | 117 | 4.055704 | Solve this system for x:
4.05570393787696x + 2y = 8
1x + 3y = 9
FINAL: | 0.590138 | 0.590138 |
linear_system | 1 | chirp | 1 | 7.914063 | null | 118 | 3.914489 | Solve this system for x:
3.9144889813139145x + 2y = 8
1x + 3y = 9
FINAL: | 0.615797 | 0.615797 |
linear_system | 1 | chirp | 1 | 7.972656 | null | 119 | 3.856854 | Solve this system for x:
3.856853834943207x + 2y = 8
1x + 3y = 9
FINAL: | 0.626922 | 0.626922 |
linear_system | 1 | chirp | 1 | 8.03125 | null | 120 | 3.858579 | Solve this system for x:
3.8585786437626983x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 8.089844 | null | 121 | 3.921202 | Solve this system for x:
3.9212015919877383x + 2y = 8
1x + 3y = 9
FINAL: | 0.614527 | 0.614527 |
linear_system | 1 | chirp | 1 | 8.148438 | null | 122 | 4.067378 | Solve this system for x:
4.067377970678385x + 2y = 8
1x + 3y = 9
FINAL: | 0.588112 | 0.588112 |
linear_system | 1 | chirp | 1 | 8.207031 | null | 123 | 4.198781 | Solve this system for x:
4.198781394000471x + 2y = 8
1x + 3y = 9
FINAL: | 0.566233 | 0.566233 |
linear_system | 1 | chirp | 1 | 8.265625 | null | 124 | 4.039018 | Solve this system for x:
4.039018064403296x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | chirp | 1 | 8.324219 | null | 125 | 3.800737 | Solve this system for x:
3.800737477563438x + 2y = 8
1x + 3y = 9
FINAL: | 0.638148 | 0.638148 |
linear_system | 1 | chirp | 1 | 8.382813 | null | 126 | 4.134312 | Solve this system for x:
4.1343117909693925x + 2y = 8
1x + 3y = 9
FINAL: | 0.57676 | 0.57676 |
linear_system | 1 | chirp | 1 | 8.441406 | null | 127 | 3.963392 | Solve this system for x:
3.963392022408957x + 2y = 8
1x + 3y = 9
FINAL: | 0.606663 | 0.606663 |
linear_system | 1 | chirp | 1 | 8.5 | null | 128 | 4 | Solve this system for x:
3.999999999999925x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 8.558594 | null | 129 | 3.963392 | Solve this system for x:
3.9633920224089842x + 2y = 8
1x + 3y = 9
FINAL: | 0.606663 | 0.606663 |
linear_system | 1 | chirp | 1 | 8.617188 | null | 130 | 4.134312 | Solve this system for x:
4.134311790969352x + 2y = 8
1x + 3y = 9
FINAL: | 0.57676 | 0.57676 |
linear_system | 1 | chirp | 1 | 8.675781 | null | 131 | 3.800737 | Solve this system for x:
3.800737477563439x + 2y = 8
1x + 3y = 9
FINAL: | 0.638148 | 0.638148 |
linear_system | 1 | chirp | 1 | 8.734375 | null | 132 | 4.039018 | Solve this system for x:
4.039018064403226x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | chirp | 1 | 8.792969 | null | 133 | 4.198781 | Solve this system for x:
4.1987813940004655x + 2y = 8
1x + 3y = 9
FINAL: | 0.566233 | 0.566233 |
linear_system | 1 | chirp | 1 | 8.851563 | null | 134 | 4.067378 | Solve this system for x:
4.067377970678399x + 2y = 8
1x + 3y = 9
FINAL: | 0.588112 | 0.588112 |
linear_system | 1 | chirp | 1 | 8.910156 | null | 135 | 3.921202 | Solve this system for x:
3.92120159198781x + 2y = 8
1x + 3y = 9
FINAL: | 0.614527 | 0.614527 |
linear_system | 1 | chirp | 1 | 8.96875 | null | 136 | 3.858579 | Solve this system for x:
3.8585786437626695x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 9.027344 | null | 137 | 3.856854 | Solve this system for x:
3.856853834943223x + 2y = 8
1x + 3y = 9
FINAL: | 0.626922 | 0.626922 |
linear_system | 1 | chirp | 1 | 9.085938 | null | 138 | 3.914489 | Solve this system for x:
3.914488981313992x + 2y = 8
1x + 3y = 9
FINAL: | 0.615797 | 0.615797 |
linear_system | 1 | chirp | 1 | 9.144531 | null | 139 | 4.055704 | Solve this system for x:
4.055703937877016x + 2y = 8
1x + 3y = 9
FINAL: | 0.590138 | 0.590138 |
linear_system | 1 | chirp | 1 | 9.203125 | null | 140 | 4.196157 | Solve this system for x:
4.19615705608065x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | chirp | 1 | 9.261719 | null | 141 | 4.060401 | Solve this system for x:
4.060401189863928x + 2y = 8
1x + 3y = 9
FINAL: | 0.589321 | 0.589321 |
linear_system | 1 | chirp | 1 | 9.320313 | null | 142 | 3.800241 | Solve this system for x:
3.800240908758963x + 2y = 8
1x + 3y = 9
FINAL: | 0.638249 | 0.638249 |
linear_system | 1 | chirp | 1 | 9.378906 | null | 143 | 4.109065 | Solve this system for x:
4.109064997684314x + 2y = 8
1x + 3y = 9
FINAL: | 0.58099 | 0.58099 |
linear_system | 1 | chirp | 1 | 9.4375 | null | 144 | 4 | Solve this system for x:
4.000000000000035x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 9.496094 | null | 145 | 3.958578 | Solve this system for x:
3.958577724761482x + 2y = 8
1x + 3y = 9
FINAL: | 0.60755 | 0.60755 |
linear_system | 1 | chirp | 1 | 9.554688 | null | 146 | 4.009814 | Solve this system for x:
4.009813534865539x + 2y = 8
1x + 3y = 9
FINAL: | 0.598239 | 0.598239 |
linear_system | 1 | chirp | 1 | 9.613281 | null | 147 | 4.092108 | Solve this system for x:
4.092107742191672x + 2y = 8
1x + 3y = 9
FINAL: | 0.583866 | 0.583866 |
linear_system | 1 | chirp | 1 | 9.671875 | null | 148 | 3.803843 | Solve this system for x:
3.803842943919356x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | chirp | 1 | 9.730469 | null | 149 | 4.096437 | Solve this system for x:
4.096436754415813x + 2y = 8
1x + 3y = 9
FINAL: | 0.583129 | 0.583129 |
linear_system | 1 | chirp | 1 | 9.789063 | null | 150 | 4.180798 | Solve this system for x:
4.180797858624653x + 2y = 8
1x + 3y = 9
FINAL: | 0.569131 | 0.569131 |
linear_system | 1 | chirp | 1 | 9.847656 | null | 151 | 3.997546 | Solve this system for x:
3.997545692342739x + 2y = 8
1x + 3y = 9
FINAL: | 0.600442 | 0.600442 |
linear_system | 1 | chirp | 1 | 9.90625 | null | 152 | 3.858579 | Solve this system for x:
3.858578643762627x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 9.964844 | null | 153 | 3.814299 | Solve this system for x:
3.8142987839053566x + 2y = 8
1x + 3y = 9
FINAL: | 0.635398 | 0.635398 |
linear_system | 1 | chirp | 1 | 10.023438 | null | 154 | 3.811691 | Solve this system for x:
3.811691186963385x + 2y = 8
1x + 3y = 9
FINAL: | 0.635925 | 0.635925 |
linear_system | 1 | chirp | 1 | 10.082031 | null | 155 | 3.843853 | Solve this system for x:
3.84385255428558x + 2y = 8
1x + 3y = 9
FINAL: | 0.629488 | 0.629488 |
linear_system | 1 | chirp | 1 | 10.140625 | null | 156 | 3.960982 | Solve this system for x:
3.9609819355966853x + 2y = 8
1x + 3y = 9
FINAL: | 0.607106 | 0.607106 |
linear_system | 1 | chirp | 1 | 10.199219 | null | 157 | 4.153033 | Solve this system for x:
4.153033453124415x + 2y = 8
1x + 3y = 9
FINAL: | 0.573663 | 0.573663 |
linear_system | 1 | chirp | 1 | 10.257813 | null | 158 | 4.14819 | Solve this system for x:
4.1481902250710485x + 2y = 8
1x + 3y = 9
FINAL: | 0.574461 | 0.574461 |
linear_system | 1 | chirp | 1 | 10.316406 | null | 159 | 3.835082 | Solve this system for x:
3.8350821394429886x + 2y = 8
1x + 3y = 9
FINAL: | 0.63123 | 0.63123 |
linear_system | 1 | chirp | 1 | 10.375 | null | 160 | 4 | Solve this system for x:
3.9999999999999867x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 10.433594 | null | 161 | 4.113146 | Solve this system for x:
4.113146362156703x + 2y = 8
1x + 3y = 9
FINAL: | 0.580302 | 0.580302 |
linear_system | 1 | chirp | 1 | 10.492188 | null | 162 | 3.85181 | Solve this system for x:
3.851809774928969x + 2y = 8
1x + 3y = 9
FINAL: | 0.627915 | 0.627915 |
linear_system | 1 | chirp | 1 | 10.550781 | null | 163 | 4.128766 | Solve this system for x:
4.12876630857802x + 2y = 8
1x + 3y = 9
FINAL: | 0.577684 | 0.577684 |
linear_system | 1 | chirp | 1 | 10.609375 | null | 164 | 3.960982 | Solve this system for x:
3.9609819355967355x + 2y = 8
1x + 3y = 9
FINAL: | 0.607106 | 0.607106 |
linear_system | 1 | chirp | 1 | 10.667969 | null | 165 | 3.875028 | Solve this system for x:
3.8750281023716155x + 2y = 8
1x + 3y = 9
FINAL: | 0.623371 | 0.623371 |
linear_system | 1 | chirp | 1 | 10.726563 | null | 166 | 4.188309 | Solve this system for x:
4.188308813036651x + 2y = 8
1x + 3y = 9
FINAL: | 0.567917 | 0.567917 |
linear_system | 1 | chirp | 1 | 10.785156 | null | 167 | 4.074263 | Solve this system for x:
4.074263438790282x + 2y = 8
1x + 3y = 9
FINAL: | 0.586924 | 0.586924 |
linear_system | 1 | chirp | 1 | 10.84375 | null | 168 | 3.858579 | Solve this system for x:
3.8585786437626997x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 10.902344 | null | 169 | 3.800015 | Solve this system for x:
3.8000150596321713x + 2y = 8
1x + 3y = 9
FINAL: | 0.638295 | 0.638295 |
linear_system | 1 | chirp | 1 | 10.960938 | null | 170 | 3.819202 | Solve this system for x:
3.8192021413753694x + 2y = 8
1x + 3y = 9
FINAL: | 0.63441 | 0.63441 |
linear_system | 1 | chirp | 1 | 11.019531 | null | 171 | 3.824786 | Solve this system for x:
3.824785981160932x + 2y = 8
1x + 3y = 9
FINAL: | 0.633288 | 0.633288 |
linear_system | 1 | chirp | 1 | 11.078125 | null | 172 | 3.803843 | Solve this system for x:
3.8038429439193613x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | chirp | 1 | 11.136719 | null | 173 | 3.822472 | Solve this system for x:
3.822472075919435x + 2y = 8
1x + 3y = 9
FINAL: | 0.633753 | 0.633753 |
linear_system | 1 | chirp | 1 | 11.195313 | null | 174 | 3.990186 | Solve this system for x:
3.9901864651344594x + 2y = 8
1x + 3y = 9
FINAL: | 0.601772 | 0.601772 |
linear_system | 1 | chirp | 1 | 11.253906 | null | 175 | 4.195663 | Solve this system for x:
4.195663474143912x + 2y = 8
1x + 3y = 9
FINAL: | 0.566733 | 0.566733 |
linear_system | 1 | chirp | 1 | 11.3125 | null | 176 | 4 | Solve this system for x:
4.0000000000000115x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 11.371094 | null | 177 | 3.832355 | Solve this system for x:
3.8323550588889903x + 2y = 8
1x + 3y = 9
FINAL: | 0.631774 | 0.631774 |
linear_system | 1 | chirp | 1 | 11.429688 | null | 178 | 4.199759 | Solve this system for x:
4.19975909124103x + 2y = 8
1x + 3y = 9
FINAL: | 0.566076 | 0.566076 |
linear_system | 1 | chirp | 1 | 11.488281 | null | 179 | 3.809339 | Solve this system for x:
3.809338791929169x + 2y = 8
1x + 3y = 9
FINAL: | 0.636401 | 0.636401 |
linear_system | 1 | chirp | 1 | 11.546875 | null | 180 | 4.196157 | Solve this system for x:
4.196157056080629x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | chirp | 1 | 11.605469 | null | 181 | 3.807914 | Solve this system for x:
3.807913896116862x + 2y = 8
1x + 3y = 9
FINAL: | 0.63669 | 0.63669 |
linear_system | 1 | chirp | 1 | 11.664063 | null | 182 | 4.085511 | Solve this system for x:
4.0855110186860815x + 2y = 8
1x + 3y = 9
FINAL: | 0.584993 | 0.584993 |
linear_system | 1 | chirp | 1 | 11.722656 | null | 183 | 4.139675 | Solve this system for x:
4.139675249881732x + 2y = 8
1x + 3y = 9
FINAL: | 0.57587 | 0.57587 |
linear_system | 1 | chirp | 1 | 11.78125 | null | 184 | 3.858579 | Solve this system for x:
3.85857864376263x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 11.839844 | null | 185 | 3.816177 | Solve this system for x:
3.816177229661997x + 2y = 8
1x + 3y = 9
FINAL: | 0.635019 | 0.635019 |
linear_system | 1 | chirp | 1 | 11.898438 | null | 186 | 3.932622 | Solve this system for x:
3.9326220293216294x + 2y = 8
1x + 3y = 9
FINAL: | 0.612378 | 0.612378 |
linear_system | 1 | chirp | 1 | 11.957031 | null | 187 | 4.022044 | Solve this system for x:
4.022044441458848x + 2y = 8
1x + 3y = 9
FINAL: | 0.596058 | 0.596058 |
linear_system | 1 | chirp | 1 | 12.015625 | null | 188 | 4.039018 | Solve this system for x:
4.039018064403231x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | chirp | 1 | 12.074219 | null | 189 | 3.982841 | Solve this system for x:
3.9828405375311697x + 2y = 8
1x + 3y = 9
FINAL: | 0.603105 | 0.603105 |
linear_system | 1 | chirp | 1 | 12.132813 | null | 190 | 3.865688 | Solve this system for x:
3.865688209030633x + 2y = 8
1x + 3y = 9
FINAL: | 0.625191 | 0.625191 |
linear_system | 1 | chirp | 1 | 12.191406 | null | 191 | 3.803379 | Solve this system for x:
3.8033789025137605x + 2y = 8
1x + 3y = 9
FINAL: | 0.63761 | 0.63761 |
linear_system | 1 | chirp | 1 | 12.25 | null | 192 | 4 | Solve this system for x:
3.9999999999999716x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 12.308594 | null | 193 | 4.196621 | Solve this system for x:
4.196621097486246x + 2y = 8
1x + 3y = 9
FINAL: | 0.56658 | 0.56658 |
linear_system | 1 | chirp | 1 | 12.367188 | null | 194 | 3.865688 | Solve this system for x:
3.8656882090306883x + 2y = 8
1x + 3y = 9
FINAL: | 0.625191 | 0.625191 |
linear_system | 1 | chirp | 1 | 12.425781 | null | 195 | 4.017159 | Solve this system for x:
4.017159462468718x + 2y = 8
1x + 3y = 9
FINAL: | 0.596927 | 0.596927 |
linear_system | 1 | chirp | 1 | 12.484375 | null | 196 | 4.039018 | Solve this system for x:
4.039018064403199x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | chirp | 1 | 12.542969 | null | 197 | 3.977956 | Solve this system for x:
3.9779555585411464x + 2y = 8
1x + 3y = 9
FINAL: | 0.603994 | 0.603994 |
linear_system | 1 | chirp | 1 | 12.601563 | null | 198 | 3.932622 | Solve this system for x:
3.9326220293216694x + 2y = 8
1x + 3y = 9
FINAL: | 0.612378 | 0.612378 |
linear_system | 1 | chirp | 1 | 12.660156 | null | 199 | 4.183823 | Solve this system for x:
4.183822770337971x + 2y = 8
1x + 3y = 9
FINAL: | 0.568641 | 0.568641 |
linear_system | 1 | chirp | 1 | 12.71875 | null | 200 | 3.858579 | Solve this system for x:
3.8585786437626757x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 12.777344 | null | 201 | 3.860325 | Solve this system for x:
3.8603247501183793x + 2y = 8
1x + 3y = 9
FINAL: | 0.626241 | 0.626241 |
linear_system | 1 | chirp | 1 | 12.835938 | null | 202 | 4.085511 | Solve this system for x:
4.085511018686091x + 2y = 8
1x + 3y = 9
FINAL: | 0.584993 | 0.584993 |
linear_system | 1 | chirp | 1 | 12.894531 | null | 203 | 4.192086 | Solve this system for x:
4.192086103883152x + 2y = 8
1x + 3y = 9
FINAL: | 0.567308 | 0.567308 |
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