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 | 2 | sinusoid | 0.5 | 1 | 240 | 40 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL: | 1.946287 | 1.946287 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 41 | 4.093591 | Solve this system for x:
4.093590592675732x + 1y = 10
2x + 4y = 12
FINAL: | 1.947912 | 1.947912 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 42 | 4.089687 | Solve this system for x:
4.089687274153269x + 1y = 10
2x + 4y = 12
FINAL: | 1.950031 | 1.950031 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 43 | 4.08492 | Solve this system for x:
4.084920218152658x + 1y = 10
2x + 4y = 12
FINAL: | 1.952624 | 1.952624 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 44 | 4.079335 | Solve this system for x:
4.079335334029124x + 1y = 10
2x + 4y = 12
FINAL: | 1.95567 | 1.95567 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 45 | 4.072986 | Solve this system for x:
4.0729864072697834x + 1y = 10
2x + 4y = 12
FINAL: | 1.959145 | 1.959145 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 46 | 4.065935 | Solve this system for x:
4.065934581510007x + 1y = 10
2x + 4y = 12
FINAL: | 1.96302 | 1.96302 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 47 | 4.058248 | Solve this system for x:
4.05824776968678x + 1y = 10
2x + 4y = 12
FINAL: | 1.96726 | 1.96726 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 48 | 4.05 | Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL: | 1.971831 | 1.971831 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 49 | 4.041271 | Solve this system for x:
4.041270702980439x + 1y = 10
2x + 4y = 12
FINAL: | 1.976692 | 1.976692 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 50 | 4.032144 | Solve this system for x:
4.032143946530316x + 1y = 10
2x + 4y = 12
FINAL: | 1.981799 | 1.981799 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 51 | 4.022708 | Solve this system for x:
4.022707626303437x + 1y = 10
2x + 4y = 12
FINAL: | 1.987108 | 1.987108 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 52 | 4.013053 | Solve this system for x:
4.013052619222005x + 1y = 10
2x + 4y = 12
FINAL: | 1.992569 | 1.992569 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 53 | 4.003272 | Solve this system for x:
4.003271908282178x + 1y = 10
2x + 4y = 12
FINAL: | 1.998132 | 1.998132 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 54 | 3.99346 | Solve this system for x:
3.993459687076986x + 1y = 10
2x + 4y = 12
FINAL: | 2.003744 | 2.003744 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 55 | 3.98371 | Solve this system for x:
3.9837104526605414x + 1y = 10
2x + 4y = 12
FINAL: | 2.009352 | 2.009352 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 56 | 3.974118 | Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL: | 2.0149 | 2.0149 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 57 | 3.964775 | Solve this system for x:
3.964774995207877x + 1y = 10
2x + 4y = 12
FINAL: | 2.020333 | 2.020333 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 58 | 3.955771 | Solve this system for x:
3.9557711309781x + 1y = 10
2x + 4y = 12
FINAL: | 2.025597 | 2.025597 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 59 | 3.947193 | Solve this system for x:
3.947193214934963x + 1y = 10
2x + 4y = 12
FINAL: | 2.030638 | 2.030638 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 60 | 3.939124 | Solve this system for x:
3.939123857099128x + 1y = 10
2x + 4y = 12
FINAL: | 2.035402 | 2.035402 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 61 | 3.931641 | Solve this system for x:
3.931640769797713x + 1y = 10
2x + 4y = 12
FINAL: | 2.039841 | 2.039841 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 62 | 3.924816 | Solve this system for x:
3.9248160192521024x + 1y = 10
2x + 4y = 12
FINAL: | 2.043905 | 2.043905 |
linear_system | 2 | sinusoid | 0.5 | 1 | 240 | 63 | 3.918715 | Solve this system for x:
3.9187153315408385x + 1y = 10
2x + 4y = 12
FINAL: | 2.047553 | 2.047553 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 0 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL: | 2.050743 | 2.050743 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 1 | 3.905307 | Solve this system for x:
3.9053069870504893x + 1y = 10
2x + 4y = 12
FINAL: | 2.055615 | 2.055615 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 2 | 3.900856 | Solve this system for x:
3.900855513862619x + 1y = 10
2x + 4y = 12
FINAL: | 2.058306 | 2.058306 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 3 | 3.900214 | Solve this system for x:
3.9002141076761396x + 1y = 10
2x + 4y = 12
FINAL: | 2.058694 | 2.058694 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 4 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL: | 2.056762 | 2.056762 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 5 | 3.910313 | Solve this system for x:
3.910312725846731x + 1y = 10
2x + 4y = 12
FINAL: | 2.052598 | 2.052598 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 6 | 3.920665 | Solve this system for x:
3.9206646659708766x + 1y = 10
2x + 4y = 12
FINAL: | 2.046386 | 2.046386 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 7 | 3.934065 | Solve this system for x:
3.9340654184899932x + 1y = 10
2x + 4y = 12
FINAL: | 2.0384 | 2.0384 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 8 | 3.95 | Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 9 | 3.967856 | Solve this system for x:
3.9678560534696836x + 1y = 10
2x + 4y = 12
FINAL: | 2.018538 | 2.018538 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 10 | 3.986947 | Solve this system for x:
3.9869473807779947x + 1y = 10
2x + 4y = 12
FINAL: | 2.007487 | 2.007487 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 11 | 4.00654 | Solve this system for x:
4.006540312923014x + 1y = 10
2x + 4y = 12
FINAL: | 1.99627 | 1.99627 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 12 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 10
2x + 4y = 12
FINAL: | 1.985319 | 1.985319 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 13 | 4.044229 | Solve this system for x:
4.0442288690219x + 1y = 10
2x + 4y = 12
FINAL: | 1.975042 | 1.975042 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 14 | 4.060876 | Solve this system for x:
4.060876142900872x + 1y = 10
2x + 4y = 12
FINAL: | 1.965808 | 1.965808 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 15 | 4.075184 | Solve this system for x:
4.075183980747898x + 1y = 10
2x + 4y = 12
FINAL: | 1.957941 | 1.957941 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 16 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL: | 1.951708 | 1.951708 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 17 | 4.094693 | Solve this system for x:
4.09469301294951x + 1y = 10
2x + 4y = 12
FINAL: | 1.947315 | 1.947315 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 18 | 4.099144 | Solve this system for x:
4.099144486137381x + 1y = 10
2x + 4y = 12
FINAL: | 1.944907 | 1.944907 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 19 | 4.099786 | Solve this system for x:
4.09978589232386x + 1y = 10
2x + 4y = 12
FINAL: | 1.94456 | 1.94456 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 20 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL: | 1.946287 | 1.946287 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 21 | 4.089687 | Solve this system for x:
4.089687274153269x + 1y = 10
2x + 4y = 12
FINAL: | 1.950031 | 1.950031 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 22 | 4.079335 | Solve this system for x:
4.079335334029124x + 1y = 10
2x + 4y = 12
FINAL: | 1.95567 | 1.95567 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 23 | 4.065935 | Solve this system for x:
4.065934581510007x + 1y = 10
2x + 4y = 12
FINAL: | 1.96302 | 1.96302 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 24 | 4.05 | Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL: | 1.971831 | 1.971831 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 25 | 4.032144 | Solve this system for x:
4.032143946530316x + 1y = 10
2x + 4y = 12
FINAL: | 1.981799 | 1.981799 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 26 | 4.013053 | Solve this system for x:
4.013052619222005x + 1y = 10
2x + 4y = 12
FINAL: | 1.992569 | 1.992569 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 27 | 3.99346 | Solve this system for x:
3.993459687076986x + 1y = 10
2x + 4y = 12
FINAL: | 2.003744 | 2.003744 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 28 | 3.974118 | Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL: | 2.0149 | 2.0149 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 29 | 3.955771 | Solve this system for x:
3.9557711309781x + 1y = 10
2x + 4y = 12
FINAL: | 2.025597 | 2.025597 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 30 | 3.939124 | Solve this system for x:
3.939123857099128x + 1y = 10
2x + 4y = 12
FINAL: | 2.035402 | 2.035402 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 31 | 3.924816 | Solve this system for x:
3.9248160192521024x + 1y = 10
2x + 4y = 12
FINAL: | 2.043905 | 2.043905 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 32 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL: | 2.050743 | 2.050743 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 33 | 3.905307 | Solve this system for x:
3.9053069870504893x + 1y = 10
2x + 4y = 12
FINAL: | 2.055615 | 2.055615 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 34 | 3.900856 | Solve this system for x:
3.900855513862619x + 1y = 10
2x + 4y = 12
FINAL: | 2.058306 | 2.058306 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 35 | 3.900214 | Solve this system for x:
3.9002141076761396x + 1y = 10
2x + 4y = 12
FINAL: | 2.058694 | 2.058694 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 36 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL: | 2.056762 | 2.056762 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 37 | 3.910313 | Solve this system for x:
3.910312725846731x + 1y = 10
2x + 4y = 12
FINAL: | 2.052598 | 2.052598 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 38 | 3.920665 | Solve this system for x:
3.920664665970876x + 1y = 10
2x + 4y = 12
FINAL: | 2.046386 | 2.046386 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 39 | 3.934065 | Solve this system for x:
3.9340654184899932x + 1y = 10
2x + 4y = 12
FINAL: | 2.0384 | 2.0384 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 40 | 3.95 | Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 41 | 3.967856 | Solve this system for x:
3.9678560534696836x + 1y = 10
2x + 4y = 12
FINAL: | 2.018538 | 2.018538 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 42 | 3.986947 | Solve this system for x:
3.9869473807779947x + 1y = 10
2x + 4y = 12
FINAL: | 2.007487 | 2.007487 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 43 | 4.00654 | Solve this system for x:
4.006540312923014x + 1y = 10
2x + 4y = 12
FINAL: | 1.99627 | 1.99627 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 44 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 10
2x + 4y = 12
FINAL: | 1.985319 | 1.985319 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 45 | 4.044229 | Solve this system for x:
4.0442288690219x + 1y = 10
2x + 4y = 12
FINAL: | 1.975042 | 1.975042 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 46 | 4.060876 | Solve this system for x:
4.060876142900872x + 1y = 10
2x + 4y = 12
FINAL: | 1.965808 | 1.965808 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 47 | 4.075184 | Solve this system for x:
4.075183980747898x + 1y = 10
2x + 4y = 12
FINAL: | 1.957941 | 1.957941 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 48 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL: | 1.951708 | 1.951708 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 49 | 4.094693 | Solve this system for x:
4.09469301294951x + 1y = 10
2x + 4y = 12
FINAL: | 1.947315 | 1.947315 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 50 | 4.099144 | Solve this system for x:
4.099144486137381x + 1y = 10
2x + 4y = 12
FINAL: | 1.944907 | 1.944907 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 51 | 4.099786 | Solve this system for x:
4.09978589232386x + 1y = 10
2x + 4y = 12
FINAL: | 1.94456 | 1.94456 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 52 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL: | 1.946287 | 1.946287 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 53 | 4.089687 | Solve this system for x:
4.089687274153269x + 1y = 10
2x + 4y = 12
FINAL: | 1.950031 | 1.950031 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 54 | 4.079335 | Solve this system for x:
4.079335334029124x + 1y = 10
2x + 4y = 12
FINAL: | 1.95567 | 1.95567 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 55 | 4.065935 | Solve this system for x:
4.065934581510007x + 1y = 10
2x + 4y = 12
FINAL: | 1.96302 | 1.96302 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 56 | 4.05 | Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL: | 1.971831 | 1.971831 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 57 | 4.032144 | Solve this system for x:
4.032143946530316x + 1y = 10
2x + 4y = 12
FINAL: | 1.981799 | 1.981799 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 58 | 4.013053 | Solve this system for x:
4.013052619222005x + 1y = 10
2x + 4y = 12
FINAL: | 1.992569 | 1.992569 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 59 | 3.99346 | Solve this system for x:
3.993459687076986x + 1y = 10
2x + 4y = 12
FINAL: | 2.003744 | 2.003744 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 60 | 3.974118 | Solve this system for x:
3.9741180954897484x + 1y = 10
2x + 4y = 12
FINAL: | 2.0149 | 2.0149 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 61 | 3.955771 | Solve this system for x:
3.9557711309781x + 1y = 10
2x + 4y = 12
FINAL: | 2.025597 | 2.025597 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 62 | 3.939124 | Solve this system for x:
3.939123857099128x + 1y = 10
2x + 4y = 12
FINAL: | 2.035402 | 2.035402 |
linear_system | 2 | sinusoid | 0.5 | 2 | 240 | 63 | 3.924816 | Solve this system for x:
3.9248160192521024x + 1y = 10
2x + 4y = 12
FINAL: | 2.043905 | 2.043905 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 0 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL: | 2.050743 | 2.050743 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 1 | 3.900856 | Solve this system for x:
3.900855513862619x + 1y = 10
2x + 4y = 12
FINAL: | 2.058306 | 2.058306 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 2 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL: | 2.056762 | 2.056762 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 3 | 3.920665 | Solve this system for x:
3.9206646659708766x + 1y = 10
2x + 4y = 12
FINAL: | 2.046386 | 2.046386 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 4 | 3.95 | Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 5 | 3.986947 | Solve this system for x:
3.9869473807779947x + 1y = 10
2x + 4y = 12
FINAL: | 2.007487 | 2.007487 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 6 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 10
2x + 4y = 12
FINAL: | 1.985319 | 1.985319 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 7 | 4.060876 | Solve this system for x:
4.060876142900872x + 1y = 10
2x + 4y = 12
FINAL: | 1.965808 | 1.965808 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 8 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 10
2x + 4y = 12
FINAL: | 1.951708 | 1.951708 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 9 | 4.099144 | Solve this system for x:
4.099144486137381x + 1y = 10
2x + 4y = 12
FINAL: | 1.944907 | 1.944907 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 10 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL: | 1.946287 | 1.946287 |
linear_system | 2 | sinusoid | 0.5 | 4 | 240 | 11 | 4.079335 | Solve this system for x:
4.079335334029124x + 1y = 10
2x + 4y = 12
FINAL: | 1.95567 | 1.95567 |
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