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 | sinusoid | 2.5 | 16 | 0 | 24 | 4 | Solve this system for x:
3.999999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 25 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 26 | 4 | Solve this system for x:
3.999999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 27 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 28 | 4 | Solve this system for x:
3.999999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 29 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 30 | 4 | Solve this system for x:
4.000000000000003x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 31 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 32 | 4 | Solve this system for x:
3.999999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 33 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 34 | 4 | Solve this system for x:
3.999999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 35 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 36 | 4 | Solve this system for x:
3.999999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 37 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 38 | 4 | Solve this system for x:
4.000000000000003x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 39 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 40 | 4 | Solve this system for x:
3.9999999999999987x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 41 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 42 | 4 | Solve this system for x:
3.9999999999999996x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 43 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 44 | 4 | Solve this system for x:
3.999999999999995x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 45 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 46 | 4 | Solve this system for x:
4.0000000000000036x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 47 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 48 | 4 | Solve this system for x:
3.9999999999999987x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 49 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 50 | 4 | Solve this system for x:
3.9999999999999996x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 51 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 52 | 4 | Solve this system for x:
4.000000000000002x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 53 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 54 | 4 | Solve this system for x:
4.0000000000000036x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 55 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 56 | 4 | Solve this system for x:
3.9999999999999982x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 57 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 58 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 59 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 60 | 4 | Solve this system for x:
3.9999999999999947x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 61 | 4.5 | Solve this system for x:
4.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.521739 | 0.521739 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 62 | 4 | Solve this system for x:
4.0000000000000036x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | sinusoid | 2.5 | 16 | 0 | 63 | 3.5 | Solve this system for x:
3.5x + 2y = 8
1x + 3y = 9
FINAL: | 0.705882 | 0.705882 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 0 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 1 | 4.406423 | Solve this system for x:
4.406423342295808x + 2y = 8
1x + 3y = 9
FINAL: | 0.534794 | 0.534794 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 2 | 4.37592 | Solve this system for x:
4.375919903739489x + 2y = 8
1x + 3y = 9
FINAL: | 0.539192 | 0.539192 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 3 | 4.341796 | Solve this system for x:
4.341796151011436x + 2y = 8
1x + 3y = 9
FINAL: | 0.544199 | 0.544199 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 4 | 4.304381 | Solve this system for x:
4.304380714504361x + 2y = 8
1x + 3y = 9
FINAL: | 0.549796 | 0.549796 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 5 | 4.264034 | Solve this system for x:
4.264033925325184x + 2y = 8
1x + 3y = 9
FINAL: | 0.555962 | 0.555962 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 6 | 4.221144 | Solve this system for x:
4.221144345109501x + 2y = 8
1x + 3y = 9
FINAL: | 0.562671 | 0.562671 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 7 | 4.176125 | Solve this system for x:
4.176125023960617x + 2y = 8
1x + 3y = 9
FINAL: | 0.569889 | 0.569889 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 8 | 4.12941 | Solve this system for x:
4.129409522551261x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 9 | 4.081448 | Solve this system for x:
4.081447736697294x + 2y = 8
1x + 3y = 9
FINAL: | 0.585689 | 0.585689 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 10 | 4.032702 | Solve this system for x:
4.0327015646150715x + 2y = 8
1x + 3y = 9
FINAL: | 0.594171 | 0.594171 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 11 | 3.98364 | Solve this system for x:
3.9836404585891123x + 2y = 8
1x + 3y = 9
FINAL: | 0.602959 | 0.602959 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 12 | 3.934737 | Solve this system for x:
3.9347369038899744x + 2y = 8
1x + 3y = 9
FINAL: | 0.611982 | 0.611982 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 13 | 3.886462 | Solve this system for x:
3.8864618684828134x + 2y = 8
1x + 3y = 9
FINAL: | 0.621158 | 0.621158 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 14 | 3.83928 | Solve this system for x:
3.8392802673484194x + 2y = 8
1x + 3y = 9
FINAL: | 0.630395 | 0.630395 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 15 | 3.793646 | Solve this system for x:
3.7936464850978027x + 2y = 8
1x + 3y = 9
FINAL: | 0.639595 | 0.639595 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 16 | 3.75 | Solve this system for x:
3.75x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 17 | 3.708761 | Solve this system for x:
3.708761151566099x + 2y = 8
1x + 3y = 9
FINAL: | 0.657442 | 0.657442 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 18 | 3.670327 | Solve this system for x:
3.670327092449966x + 2y = 8
1x + 3y = 9
FINAL: | 0.665854 | 0.665854 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 19 | 3.635068 | Solve this system for x:
3.6350679636510823x + 2y = 8
1x + 3y = 9
FINAL: | 0.673763 | 0.673763 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 20 | 3.603323 | Solve this system for x:
3.6033233298543825x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 21 | 3.575399 | Solve this system for x:
3.5753989092367107x + 2y = 8
1x + 3y = 9
FINAL: | 0.687585 | 0.687585 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 22 | 3.551564 | Solve this system for x:
3.551563629233656x + 2y = 8
1x + 3y = 9
FINAL: | 0.693266 | 0.693266 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 23 | 3.532047 | Solve this system for x:
3.5320470366213375x + 2y = 8
1x + 3y = 9
FINAL: | 0.697988 | 0.697988 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 24 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 25 | 3.506678 | Solve this system for x:
3.5066783339575607x + 2y = 8
1x + 3y = 9
FINAL: | 0.704222 | 0.704222 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 26 | 3.501071 | Solve this system for x:
3.501070538380698x + 2y = 8
1x + 3y = 9
FINAL: | 0.705616 | 0.705616 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 27 | 3.500268 | Solve this system for x:
3.500267706261817x + 2y = 8
1x + 3y = 9
FINAL: | 0.705816 | 0.705816 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 28 | 3.504278 | Solve this system for x:
3.5042775693130945x + 2y = 8
1x + 3y = 9
FINAL: | 0.704818 | 0.704818 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 29 | 3.513062 | Solve this system for x:
3.513061510361333x + 2y = 8
1x + 3y = 9
FINAL: | 0.702643 | 0.702643 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 30 | 3.526535 | Solve this system for x:
3.5265349352524473x + 2y = 8
1x + 3y = 9
FINAL: | 0.699333 | 0.699333 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 31 | 3.544568 | Solve this system for x:
3.544568087539412x + 2y = 8
1x + 3y = 9
FINAL: | 0.694951 | 0.694951 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 32 | 3.566987 | Solve this system for x:
3.5669872981077804x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 33 | 3.593577 | Solve this system for x:
3.593576657704192x + 2y = 8
1x + 3y = 9
FINAL: | 0.683314 | 0.683314 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 34 | 3.62408 | Solve this system for x:
3.6240800962605113x + 2y = 8
1x + 3y = 9
FINAL: | 0.676267 | 0.676267 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 35 | 3.658204 | Solve this system for x:
3.658203848988564x + 2y = 8
1x + 3y = 9
FINAL: | 0.668553 | 0.668553 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 36 | 3.695619 | Solve this system for x:
3.6956192854956393x + 2y = 8
1x + 3y = 9
FINAL: | 0.660294 | 0.660294 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 37 | 3.735966 | Solve this system for x:
3.7359660746748156x + 2y = 8
1x + 3y = 9
FINAL: | 0.651615 | 0.651615 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 38 | 3.778856 | Solve this system for x:
3.778855654890499x + 2y = 8
1x + 3y = 9
FINAL: | 0.642634 | 0.642634 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 39 | 3.823875 | Solve this system for x:
3.823874976039383x + 2y = 8
1x + 3y = 9
FINAL: | 0.633471 | 0.633471 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 40 | 3.87059 | Solve this system for x:
3.8705904774487396x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 41 | 3.918552 | Solve this system for x:
3.9185522633027055x + 2y = 8
1x + 3y = 9
FINAL: | 0.615028 | 0.615028 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 42 | 3.967298 | Solve this system for x:
3.967298435384928x + 2y = 8
1x + 3y = 9
FINAL: | 0.605945 | 0.605945 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 43 | 4.01636 | Solve this system for x:
4.016359541410887x + 2y = 8
1x + 3y = 9
FINAL: | 0.59707 | 0.59707 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 44 | 4.065263 | Solve this system for x:
4.065263096110026x + 2y = 8
1x + 3y = 9
FINAL: | 0.588478 | 0.588478 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 45 | 4.113538 | Solve this system for x:
4.113538131517187x + 2y = 8
1x + 3y = 9
FINAL: | 0.580236 | 0.580236 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 46 | 4.16072 | Solve this system for x:
4.160719732651581x + 2y = 8
1x + 3y = 9
FINAL: | 0.572401 | 0.572401 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 47 | 4.206354 | Solve this system for x:
4.206353514902197x + 2y = 8
1x + 3y = 9
FINAL: | 0.565022 | 0.565022 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 48 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 49 | 4.291239 | Solve this system for x:
4.291238848433901x + 2y = 8
1x + 3y = 9
FINAL: | 0.551789 | 0.551789 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 50 | 4.329673 | Solve this system for x:
4.329672907550035x + 2y = 8
1x + 3y = 9
FINAL: | 0.546 | 0.546 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 51 | 4.364932 | Solve this system for x:
4.364932036348918x + 2y = 8
1x + 3y = 9
FINAL: | 0.540794 | 0.540794 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 52 | 4.396677 | Solve this system for x:
4.3966766701456175x + 2y = 8
1x + 3y = 9
FINAL: | 0.536192 | 0.536192 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 53 | 4.424601 | Solve this system for x:
4.424601090763289x + 2y = 8
1x + 3y = 9
FINAL: | 0.532207 | 0.532207 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 54 | 4.448436 | Solve this system for x:
4.448436370766344x + 2y = 8
1x + 3y = 9
FINAL: | 0.528853 | 0.528853 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 55 | 4.467953 | Solve this system for x:
4.4679529633786625x + 2y = 8
1x + 3y = 9
FINAL: | 0.526138 | 0.526138 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 56 | 4.482963 | Solve this system for x:
4.482962913144534x + 2y = 8
1x + 3y = 9
FINAL: | 0.524068 | 0.524068 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 57 | 4.493322 | Solve this system for x:
4.49332166604244x + 2y = 8
1x + 3y = 9
FINAL: | 0.52265 | 0.52265 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 58 | 4.498929 | Solve this system for x:
4.498929461619301x + 2y = 8
1x + 3y = 9
FINAL: | 0.521885 | 0.521885 |
linear_system | 1 | sinusoid | 2.5 | 1 | 120 | 59 | 4.499732 | Solve this system for x:
4.499732293738183x + 2y = 8
1x + 3y = 9
FINAL: | 0.521776 | 0.521776 |
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