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 | 8 | 240 | 48 | 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 | 8 | 240 | 49 | 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 | 8 | 240 | 50 | 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 | 8 | 240 | 51 | 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 | 8 | 240 | 52 | 4.086603 | Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL: | 1.951708 | 1.951708 |
linear_system | 2 | sinusoid | 0.5 | 8 | 240 | 53 | 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 | 8 | 240 | 54 | 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 | 8 | 240 | 55 | 3.974118 | Solve this system for x:
3.9741180954897475x + 1y = 10
2x + 4y = 12
FINAL: | 2.0149 | 2.0149 |
linear_system | 2 | sinusoid | 0.5 | 8 | 240 | 56 | 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 | 8 | 240 | 57 | 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 | 8 | 240 | 58 | 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 | 8 | 240 | 59 | 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 | 8 | 240 | 60 | 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 | 8 | 240 | 61 | 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 | 8 | 240 | 62 | 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 | 8 | 240 | 63 | 3.974118 | Solve this system for x:
3.9741180954897475x + 1y = 10
2x + 4y = 12
FINAL: | 2.0149 | 2.0149 |
linear_system | 2 | sinusoid | 0.5 | 16 | 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 | 16 | 240 | 1 | 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 | 16 | 240 | 2 | 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 | 16 | 240 | 3 | 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 | 16 | 240 | 4 | 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 | 16 | 240 | 5 | 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 | 16 | 240 | 6 | 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 | 16 | 240 | 7 | 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 | 16 | 240 | 8 | 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 | 16 | 240 | 9 | 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 | 16 | 240 | 10 | 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 | 16 | 240 | 11 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.971831 | 1.971831 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 12 | 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 | 16 | 240 | 13 | 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 | 16 | 240 | 14 | 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 | 16 | 240 | 15 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.971831 | 1.971831 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 16 | 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 | 16 | 240 | 17 | 3.95 | Solve this system for x:
3.9499999999999997x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 18 | 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 | 16 | 240 | 19 | 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 | 16 | 240 | 20 | 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 | 16 | 240 | 21 | 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 | 16 | 240 | 22 | 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 | 16 | 240 | 23 | 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 | 16 | 240 | 24 | 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 | 16 | 240 | 25 | 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 | 16 | 240 | 26 | 4.086603 | Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL: | 1.951708 | 1.951708 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 27 | 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 | 16 | 240 | 28 | 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 | 16 | 240 | 29 | 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 | 16 | 240 | 30 | 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 | 16 | 240 | 31 | 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 | 16 | 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 | 16 | 240 | 33 | 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 | 16 | 240 | 34 | 4.086603 | Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL: | 1.951708 | 1.951708 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 35 | 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 | 16 | 240 | 36 | 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 | 16 | 240 | 37 | 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 | 16 | 240 | 38 | 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 | 16 | 240 | 39 | 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 | 16 | 240 | 40 | 3.913397 | Solve this system for x:
3.9133974596215566x + 1y = 10
2x + 4y = 12
FINAL: | 2.050743 | 2.050743 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 41 | 3.95 | Solve this system for x:
3.949999999999999x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 42 | 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 | 16 | 240 | 43 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.971831 | 1.971831 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 44 | 3.913397 | Solve this system for x:
3.913397459621557x + 1y = 10
2x + 4y = 12
FINAL: | 2.050743 | 2.050743 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 45 | 3.95 | Solve this system for x:
3.9499999999999993x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 46 | 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 | 16 | 240 | 47 | 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 | 16 | 240 | 48 | 3.913397 | Solve this system for x:
3.9133974596215566x + 1y = 10
2x + 4y = 12
FINAL: | 2.050743 | 2.050743 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 49 | 3.95 | Solve this system for x:
3.949999999999999x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 50 | 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 | 16 | 240 | 51 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.971831 | 1.971831 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 52 | 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 | 16 | 240 | 53 | 3.95 | Solve this system for x:
3.9499999999999993x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 54 | 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 | 16 | 240 | 55 | 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 | 16 | 240 | 56 | 3.913397 | Solve this system for x:
3.9133974596215566x + 1y = 10
2x + 4y = 12
FINAL: | 2.050743 | 2.050743 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 57 | 3.95 | Solve this system for x:
3.949999999999999x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 58 | 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 | 16 | 240 | 59 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.971831 | 1.971831 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 60 | 3.913397 | Solve this system for x:
3.913397459621557x + 1y = 10
2x + 4y = 12
FINAL: | 2.050743 | 2.050743 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 61 | 3.95 | Solve this system for x:
3.9499999999999993x + 1y = 10
2x + 4y = 12
FINAL: | 2.028986 | 2.028986 |
linear_system | 2 | sinusoid | 0.5 | 16 | 240 | 62 | 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 | 16 | 240 | 63 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.971831 | 1.971831 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 0 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 1 | 4.019603 | Solve this system for x:
4.0196034280659125x + 1y = 7
1x + 5y = 11
FINAL: | 1.256675 | 1.256675 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 2 | 4.039018 | Solve this system for x:
4.039018064403225x + 1y = 7
1x + 5y = 11
FINAL: | 1.25032 | 1.25032 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 3 | 4.058057 | Solve this system for x:
4.058056935450892x + 1y = 7
1x + 5y = 11
FINAL: | 1.24415 | 1.24415 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 4 | 4.076537 | Solve this system for x:
4.076536686473018x + 1y = 7
1x + 5y = 11
FINAL: | 1.238219 | 1.238219 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 5 | 4.094279 | Solve this system for x:
4.0942793473652x + 1y = 7
1x + 5y = 11
FINAL: | 1.232577 | 1.232577 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 6 | 4.111114 | Solve this system for x:
4.11111404660392x + 1y = 7
1x + 5y = 11
FINAL: | 1.227272 | 1.227272 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 7 | 4.126879 | Solve this system for x:
4.126878656832729x + 1y = 7
1x + 5y = 11
FINAL: | 1.222345 | 1.222345 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 8 | 4.141421 | Solve this system for x:
4.141421356237309x + 1y = 7
1x + 5y = 11
FINAL: | 1.217835 | 1.217835 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 9 | 4.154602 | Solve this system for x:
4.154602090672547x + 1y = 7
1x + 5y = 11
FINAL: | 1.213776 | 1.213776 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 10 | 4.166294 | Solve this system for x:
4.166293922460509x + 1y = 7
1x + 5y = 11
FINAL: | 1.210198 | 1.210198 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 11 | 4.176384 | Solve this system for x:
4.176384252869671x + 1y = 7
1x + 5y = 11
FINAL: | 1.207127 | 1.207127 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 12 | 4.184776 | Solve this system for x:
4.184775906502257x + 1y = 7
1x + 5y = 11
FINAL: | 1.204585 | 1.204585 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 13 | 4.191388 | Solve this system for x:
4.191388067146442x + 1y = 7
1x + 5y = 11
FINAL: | 1.202589 | 1.202589 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 14 | 4.196157 | Solve this system for x:
4.196157056080646x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 15 | 4.199037 | Solve this system for x:
4.19903694533444x + 1y = 7
1x + 5y = 11
FINAL: | 1.200289 | 1.200289 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 16 | 4.2 | Solve this system for x:
4.2x + 1y = 7
1x + 5y = 11
FINAL: | 1.2 | 1.2 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 17 | 4.199037 | Solve this system for x:
4.19903694533444x + 1y = 7
1x + 5y = 11
FINAL: | 1.200289 | 1.200289 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 18 | 4.196157 | Solve this system for x:
4.196157056080646x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | sinusoid | 1 | 1 | 0 | 19 | 4.191388 | Solve this system for x:
4.191388067146442x + 1y = 7
1x + 5y = 11
FINAL: | 1.202589 | 1.202589 |
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