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 | 8 | 240 | 48 | 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 | 8 | 240 | 49 | 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 | 8 | 240 | 50 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 51 | 4.12941 | Solve this system for x:
4.12940952255126x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 52 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 53 | 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 | 8 | 240 | 54 | 4.25 | Solve this system for x:
4.250000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 55 | 3.87059 | Solve this system for x:
3.8705904774487383x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 56 | 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 | 8 | 240 | 57 | 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 | 8 | 240 | 58 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 59 | 4.12941 | Solve this system for x:
4.12940952255126x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 60 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 61 | 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 | 8 | 240 | 62 | 4.25 | Solve this system for x:
4.250000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 8 | 240 | 63 | 3.87059 | Solve this system for x:
3.8705904774487383x + 2y = 8
1x + 3y = 9
FINAL: | 0.624235 | 0.624235 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 0 | 3.566987 | Solve this system for x:
3.566987298107781x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 1 | 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 | 16 | 240 | 2 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 3 | 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 | 16 | 240 | 4 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 5 | 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 | 16 | 240 | 6 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 7 | 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 | 16 | 240 | 8 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 9 | 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 | 16 | 240 | 10 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 11 | 4.25 | Solve this system for x:
4.250000000000002x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 12 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 13 | 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 | 16 | 240 | 14 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 15 | 4.25 | Solve this system for x:
4.250000000000002x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 16 | 3.566987 | Solve this system for x:
3.5669872981077813x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 17 | 3.75 | Solve this system for x:
3.7499999999999996x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 18 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 19 | 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 | 16 | 240 | 20 | 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 | 16 | 240 | 21 | 3.75 | Solve this system for x:
3.7500000000000013x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 22 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 23 | 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 | 16 | 240 | 24 | 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 | 16 | 240 | 25 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 26 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 27 | 4.25 | Solve this system for x:
4.250000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 28 | 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 | 16 | 240 | 29 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 30 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 31 | 4.25 | Solve this system for x:
4.250000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 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 | 16 | 240 | 33 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 34 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 35 | 4.25 | Solve this system for x:
4.250000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 36 | 3.566987 | Solve this system for x:
3.566987298107781x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 37 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 38 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 39 | 4.25 | Solve this system for x:
4.250000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 40 | 3.566987 | Solve this system for x:
3.5669872981077826x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 41 | 3.75 | Solve this system for x:
3.7499999999999947x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 42 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 43 | 4.25 | Solve this system for x:
4.250000000000004x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 44 | 3.566987 | Solve this system for x:
3.5669872981077844x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 45 | 3.75 | Solve this system for x:
3.7499999999999973x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 46 | 4.433013 | Solve this system for x:
4.433012701892217x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 47 | 4.25 | Solve this system for x:
4.250000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 48 | 3.566987 | Solve this system for x:
3.5669872981077826x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 49 | 3.75 | Solve this system for x:
3.7499999999999942x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 50 | 4.433013 | Solve this system for x:
4.433012701892218x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 51 | 4.25 | Solve this system for x:
4.250000000000004x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 52 | 3.566987 | Solve this system for x:
3.566987298107781x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 53 | 3.75 | Solve this system for x:
3.7499999999999973x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 54 | 4.433013 | Solve this system for x:
4.433012701892216x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 55 | 4.25 | Solve this system for x:
4.250000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 56 | 3.566987 | Solve this system for x:
3.5669872981077826x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 57 | 3.75 | Solve this system for x:
3.7499999999999942x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 58 | 4.433013 | Solve this system for x:
4.433012701892218x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 59 | 4.25 | Solve this system for x:
4.250000000000004x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 60 | 3.566987 | Solve this system for x:
3.566987298107785x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 61 | 3.75 | Solve this system for x:
3.749999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 62 | 4.433013 | Solve this system for x:
4.433012701892216x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 240 | 63 | 4.25 | Solve this system for x:
4.250000000000002x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 0 | 4 | Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL: | 2 | 2 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 1 | 4.049009 | Solve this system for x:
4.04900857016478x + 1y = 10
2x + 4y = 12
FINAL: | 1.972382 | 1.972382 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 2 | 4.097545 | Solve this system for x:
4.097545161008064x + 1y = 10
2x + 4y = 12
FINAL: | 1.945771 | 1.945771 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 3 | 4.145142 | Solve this system for x:
4.145142338627231x + 1y = 10
2x + 4y = 12
FINAL: | 1.920364 | 1.920364 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 4 | 4.191342 | Solve this system for x:
4.191341716182545x + 1y = 10
2x + 4y = 12
FINAL: | 1.896329 | 1.896329 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 5 | 4.235698 | Solve this system for x:
4.235698368412999x + 1y = 10
2x + 4y = 12
FINAL: | 1.873813 | 1.873813 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 6 | 4.277785 | Solve this system for x:
4.277785116509801x + 1y = 10
2x + 4y = 12
FINAL: | 1.852938 | 1.852938 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 7 | 4.317197 | Solve this system for x:
4.317196642081822x + 1y = 10
2x + 4y = 12
FINAL: | 1.833806 | 1.833806 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 8 | 4.353553 | Solve this system for x:
4.353553390593274x + 1y = 10
2x + 4y = 12
FINAL: | 1.816505 | 1.816505 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 9 | 4.386505 | Solve this system for x:
4.386505226681368x + 1y = 10
2x + 4y = 12
FINAL: | 1.801104 | 1.801104 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 10 | 4.415735 | Solve this system for x:
4.4157348061512725x + 1y = 10
2x + 4y = 12
FINAL: | 1.787659 | 1.787659 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 11 | 4.440961 | Solve this system for x:
4.4409606321741775x + 1y = 10
2x + 4y = 12
FINAL: | 1.776217 | 1.776217 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 12 | 4.46194 | Solve this system for x:
4.461939766255643x + 1y = 10
2x + 4y = 12
FINAL: | 1.766811 | 1.766811 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 13 | 4.47847 | Solve this system for x:
4.478470167866105x + 1y = 10
2x + 4y = 12
FINAL: | 1.75947 | 1.75947 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 14 | 4.490393 | Solve this system for x:
4.490392640201615x + 1y = 10
2x + 4y = 12
FINAL: | 1.754213 | 1.754213 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 15 | 4.497592 | Solve this system for x:
4.497592363336098x + 1y = 10
2x + 4y = 12
FINAL: | 1.751054 | 1.751054 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 16 | 4.5 | Solve this system for x:
4.5x + 1y = 10
2x + 4y = 12
FINAL: | 1.75 | 1.75 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 17 | 4.497592 | Solve this system for x:
4.497592363336098x + 1y = 10
2x + 4y = 12
FINAL: | 1.751054 | 1.751054 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 18 | 4.490393 | Solve this system for x:
4.490392640201615x + 1y = 10
2x + 4y = 12
FINAL: | 1.754213 | 1.754213 |
linear_system | 2 | sinusoid | 2.5 | 1 | 0 | 19 | 4.47847 | Solve this system for x:
4.478470167866105x + 1y = 10
2x + 4y = 12
FINAL: | 1.75947 | 1.75947 |
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