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 | 2.5 | 16 | 120 | 44 | 4.433013 | Solve this system for x:
4.433012701892222x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 45 | 3.75 | Solve this system for x:
3.7500000000000013x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 46 | 3.566987 | Solve this system for x:
3.5669872981077786x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 47 | 4.25 | Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 48 | 4.433013 | Solve this system for x:
4.4330127018922205x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 49 | 3.75 | Solve this system for x:
3.7500000000000044x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 50 | 3.566987 | Solve this system for x:
3.5669872981077804x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 51 | 4.25 | Solve this system for x:
4.2499999999999964x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 52 | 4.433013 | Solve this system for x:
4.433012701892219x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 53 | 3.75 | Solve this system for x:
3.7500000000000018x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 54 | 3.566987 | Solve this system for x:
3.566987298107778x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 55 | 4.25 | Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 56 | 4.433013 | Solve this system for x:
4.4330127018922205x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 57 | 3.75 | Solve this system for x:
3.750000000000005x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 58 | 3.566987 | Solve this system for x:
3.56698729810778x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 59 | 4.25 | Solve this system for x:
4.2499999999999964x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 60 | 4.433013 | Solve this system for x:
4.433012701892222x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 61 | 3.75 | Solve this system for x:
3.7500000000000018x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 62 | 3.566987 | Solve this system for x:
3.566987298107778x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 120 | 63 | 4.25 | Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 0 | 3.566987 | Solve this system for x:
3.566987298107781x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 1 | 3.544568 | Solve this system for x:
3.544568087539412x + 1y = 10
2x + 4y = 12
FINAL: | 2.299177 | 2.299177 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 2 | 3.526535 | Solve this system for x:
3.5265349352524473x + 1y = 10
2x + 4y = 12
FINAL: | 2.312876 | 2.312876 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 3 | 3.513062 | Solve this system for x:
3.513061510361333x + 1y = 10
2x + 4y = 12
FINAL: | 2.323218 | 2.323218 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 4 | 3.504278 | Solve this system for x:
3.504277569313095x + 1y = 10
2x + 4y = 12
FINAL: | 2.330011 | 2.330011 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 5 | 3.500268 | Solve this system for x:
3.500267706261817x + 1y = 10
2x + 4y = 12
FINAL: | 2.333125 | 2.333125 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 6 | 3.501071 | Solve this system for x:
3.501070538380698x + 1y = 10
2x + 4y = 12
FINAL: | 2.332501 | 2.332501 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 7 | 3.506678 | Solve this system for x:
3.5066783339575607x + 1y = 10
2x + 4y = 12
FINAL: | 2.328151 | 2.328151 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 8 | 3.517037 | Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL: | 2.320157 | 2.320157 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 9 | 3.532047 | Solve this system for x:
3.532047036621337x + 1y = 10
2x + 4y = 12
FINAL: | 2.308671 | 2.308671 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 10 | 3.551564 | Solve this system for x:
3.5515636292336557x + 1y = 10
2x + 4y = 12
FINAL: | 2.293906 | 2.293906 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 11 | 3.575399 | Solve this system for x:
3.57539890923671x + 1y = 10
2x + 4y = 12
FINAL: | 2.276127 | 2.276127 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 12 | 3.603323 | Solve this system for x:
3.6033233298543825x + 1y = 10
2x + 4y = 12
FINAL: | 2.255646 | 2.255646 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 13 | 3.635068 | Solve this system for x:
3.635067963651082x + 1y = 10
2x + 4y = 12
FINAL: | 2.232806 | 2.232806 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 14 | 3.670327 | Solve this system for x:
3.6703270924499654x + 1y = 10
2x + 4y = 12
FINAL: | 2.207974 | 2.207974 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 15 | 3.708761 | Solve this system for x:
3.7087611515660983x + 1y = 10
2x + 4y = 12
FINAL: | 2.181527 | 2.181527 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 16 | 3.75 | Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 17 | 3.793646 | Solve this system for x:
3.7936464850978027x + 1y = 10
2x + 4y = 12
FINAL: | 2.125304 | 2.125304 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 18 | 3.83928 | Solve this system for x:
3.839280267348419x + 1y = 10
2x + 4y = 12
FINAL: | 2.09626 | 2.09626 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 19 | 3.886462 | Solve this system for x:
3.886461868482813x + 1y = 10
2x + 4y = 12
FINAL: | 2.067054 | 2.067054 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 20 | 3.934737 | Solve this system for x:
3.9347369038899735x + 1y = 10
2x + 4y = 12
FINAL: | 2.038002 | 2.038002 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 21 | 3.98364 | Solve this system for x:
3.983640458589112x + 1y = 10
2x + 4y = 12
FINAL: | 2.009392 | 2.009392 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 22 | 4.032702 | Solve this system for x:
4.0327015646150715x + 1y = 10
2x + 4y = 12
FINAL: | 1.981486 | 1.981486 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 23 | 4.081448 | Solve this system for x:
4.081447736697294x + 1y = 10
2x + 4y = 12
FINAL: | 1.954517 | 1.954517 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 24 | 4.12941 | Solve this system for x:
4.12940952255126x + 1y = 10
2x + 4y = 12
FINAL: | 1.928688 | 1.928688 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 25 | 4.176125 | Solve this system for x:
4.1761250239606165x + 1y = 10
2x + 4y = 12
FINAL: | 1.904179 | 1.904179 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 26 | 4.221144 | Solve this system for x:
4.221144345109501x + 1y = 10
2x + 4y = 12
FINAL: | 1.881142 | 1.881142 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 27 | 4.264034 | Solve this system for x:
4.264033925325184x + 1y = 10
2x + 4y = 12
FINAL: | 1.859707 | 1.859707 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 28 | 4.304381 | Solve this system for x:
4.304380714504361x + 1y = 10
2x + 4y = 12
FINAL: | 1.839984 | 1.839984 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 29 | 4.341796 | Solve this system for x:
4.341796151011436x + 1y = 10
2x + 4y = 12
FINAL: | 1.822064 | 1.822064 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 30 | 4.37592 | Solve this system for x:
4.375919903739488x + 1y = 10
2x + 4y = 12
FINAL: | 1.806023 | 1.806023 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 31 | 4.406423 | Solve this system for x:
4.406423342295807x + 1y = 10
2x + 4y = 12
FINAL: | 1.79192 | 1.79192 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 32 | 4.433013 | Solve this system for x:
4.433012701892219x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 33 | 4.455432 | Solve this system for x:
4.455431912460588x + 1y = 10
2x + 4y = 12
FINAL: | 1.769718 | 1.769718 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 34 | 4.473465 | Solve this system for x:
4.473465064747553x + 1y = 10
2x + 4y = 12
FINAL: | 1.761687 | 1.761687 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 35 | 4.486938 | Solve this system for x:
4.486938489638667x + 1y = 10
2x + 4y = 12
FINAL: | 1.755733 | 1.755733 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 36 | 4.495722 | Solve this system for x:
4.4957224306869055x + 1y = 10
2x + 4y = 12
FINAL: | 1.751873 | 1.751873 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 37 | 4.499732 | Solve this system for x:
4.499732293738183x + 1y = 10
2x + 4y = 12
FINAL: | 1.750117 | 1.750117 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 38 | 4.498929 | Solve this system for x:
4.498929461619301x + 1y = 10
2x + 4y = 12
FINAL: | 1.750468 | 1.750468 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 39 | 4.493322 | Solve this system for x:
4.49332166604244x + 1y = 10
2x + 4y = 12
FINAL: | 1.752927 | 1.752927 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 40 | 4.482963 | Solve this system for x:
4.482962913144534x + 1y = 10
2x + 4y = 12
FINAL: | 1.757486 | 1.757486 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 41 | 4.467953 | Solve this system for x:
4.467952963378663x + 1y = 10
2x + 4y = 12
FINAL: | 1.764134 | 1.764134 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 42 | 4.448436 | Solve this system for x:
4.448436370766345x + 1y = 10
2x + 4y = 12
FINAL: | 1.772854 | 1.772854 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 43 | 4.424601 | Solve this system for x:
4.42460109076329x + 1y = 10
2x + 4y = 12
FINAL: | 1.783621 | 1.783621 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 44 | 4.396677 | Solve this system for x:
4.396676670145618x + 1y = 10
2x + 4y = 12
FINAL: | 1.796403 | 1.796403 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 45 | 4.364932 | Solve this system for x:
4.364932036348918x + 1y = 10
2x + 4y = 12
FINAL: | 1.811157 | 1.811157 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 46 | 4.329673 | Solve this system for x:
4.329672907550035x + 1y = 10
2x + 4y = 12
FINAL: | 1.827832 | 1.827832 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 47 | 4.291239 | Solve this system for x:
4.291238848433901x + 1y = 10
2x + 4y = 12
FINAL: | 1.846362 | 1.846362 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 48 | 4.25 | Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 49 | 4.206354 | Solve this system for x:
4.206353514902197x + 1y = 10
2x + 4y = 12
FINAL: | 1.888649 | 1.888649 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 50 | 4.16072 | Solve this system for x:
4.160719732651581x + 1y = 10
2x + 4y = 12
FINAL: | 1.912192 | 1.912192 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 51 | 4.113538 | Solve this system for x:
4.113538131517187x + 1y = 10
2x + 4y = 12
FINAL: | 1.93716 | 1.93716 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 52 | 4.065263 | Solve this system for x:
4.0652630961100265x + 1y = 10
2x + 4y = 12
FINAL: | 1.963389 | 1.963389 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 53 | 4.01636 | Solve this system for x:
4.016359541410889x + 1y = 10
2x + 4y = 12
FINAL: | 1.990695 | 1.990695 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 54 | 3.967298 | Solve this system for x:
3.9672984353849294x + 1y = 10
2x + 4y = 12
FINAL: | 2.018863 | 2.018863 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 55 | 3.918552 | Solve this system for x:
3.918552263302706x + 1y = 10
2x + 4y = 12
FINAL: | 2.04765 | 2.04765 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 56 | 3.87059 | Solve this system for x:
3.87059047744874x + 1y = 10
2x + 4y = 12
FINAL: | 2.076787 | 2.076787 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 57 | 3.823875 | Solve this system for x:
3.8238749760393835x + 1y = 10
2x + 4y = 12
FINAL: | 2.105976 | 2.105976 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 58 | 3.778856 | Solve this system for x:
3.7788556548904992x + 1y = 10
2x + 4y = 12
FINAL: | 2.134891 | 2.134891 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 59 | 3.735966 | Solve this system for x:
3.735966074674816x + 1y = 10
2x + 4y = 12
FINAL: | 2.163187 | 2.163187 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 60 | 3.695619 | Solve this system for x:
3.69561928549564x + 1y = 10
2x + 4y = 12
FINAL: | 2.190499 | 2.190499 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 61 | 3.658204 | Solve this system for x:
3.6582038489885647x + 1y = 10
2x + 4y = 12
FINAL: | 2.21645 | 2.21645 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 62 | 3.62408 | Solve this system for x:
3.6240800962605118x + 1y = 10
2x + 4y = 12
FINAL: | 2.24066 | 2.24066 |
linear_system | 2 | sinusoid | 2.5 | 1 | 240 | 63 | 3.593577 | Solve this system for x:
3.593576657704193x + 1y = 10
2x + 4y = 12
FINAL: | 2.262753 | 2.262753 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 0 | 3.566987 | Solve this system for x:
3.566987298107781x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 1 | 3.526535 | Solve this system for x:
3.5265349352524473x + 1y = 10
2x + 4y = 12
FINAL: | 2.312876 | 2.312876 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 2 | 3.504278 | Solve this system for x:
3.504277569313095x + 1y = 10
2x + 4y = 12
FINAL: | 2.330011 | 2.330011 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 3 | 3.501071 | Solve this system for x:
3.501070538380698x + 1y = 10
2x + 4y = 12
FINAL: | 2.332501 | 2.332501 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 4 | 3.517037 | Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL: | 2.320157 | 2.320157 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 5 | 3.551564 | Solve this system for x:
3.5515636292336557x + 1y = 10
2x + 4y = 12
FINAL: | 2.293906 | 2.293906 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 6 | 3.603323 | Solve this system for x:
3.6033233298543825x + 1y = 10
2x + 4y = 12
FINAL: | 2.255646 | 2.255646 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 7 | 3.670327 | Solve this system for x:
3.6703270924499654x + 1y = 10
2x + 4y = 12
FINAL: | 2.207974 | 2.207974 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 8 | 3.75 | Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 9 | 3.83928 | Solve this system for x:
3.839280267348419x + 1y = 10
2x + 4y = 12
FINAL: | 2.09626 | 2.09626 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 10 | 3.934737 | Solve this system for x:
3.9347369038899735x + 1y = 10
2x + 4y = 12
FINAL: | 2.038002 | 2.038002 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 11 | 4.032702 | Solve this system for x:
4.0327015646150715x + 1y = 10
2x + 4y = 12
FINAL: | 1.981486 | 1.981486 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 12 | 4.12941 | Solve this system for x:
4.12940952255126x + 1y = 10
2x + 4y = 12
FINAL: | 1.928688 | 1.928688 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 13 | 4.221144 | Solve this system for x:
4.221144345109501x + 1y = 10
2x + 4y = 12
FINAL: | 1.881142 | 1.881142 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 14 | 4.304381 | Solve this system for x:
4.304380714504361x + 1y = 10
2x + 4y = 12
FINAL: | 1.839984 | 1.839984 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 15 | 4.37592 | Solve this system for x:
4.375919903739488x + 1y = 10
2x + 4y = 12
FINAL: | 1.806023 | 1.806023 |
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