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 | 2 | 240 | 16 | 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 | 2 | 240 | 17 | 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 | 2 | 240 | 18 | 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 | 2 | 240 | 19 | 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 | 2 | 240 | 20 | 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 | 2 | 240 | 21 | 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 | 2 | 240 | 22 | 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 | 2 | 240 | 23 | 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 | 2 | 240 | 24 | 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 | 2 | 240 | 25 | 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 | 2 | 240 | 26 | 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 | 2 | 240 | 27 | 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 | 2 | 240 | 28 | 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 | 2 | 240 | 29 | 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 | 2 | 240 | 30 | 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 | 2 | 240 | 31 | 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 | 2 | 240 | 32 | 3.566987 | Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 33 | 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 | 34 | 3.504278 | Solve this system for x:
3.5042775693130945x + 1y = 10
2x + 4y = 12
FINAL: | 2.330011 | 2.330011 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 35 | 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 | 36 | 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 | 37 | 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 | 38 | 3.603323 | Solve this system for x:
3.6033233298543816x + 1y = 10
2x + 4y = 12
FINAL: | 2.255646 | 2.255646 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 39 | 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 | 40 | 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 | 41 | 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 | 42 | 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 | 43 | 4.032702 | Solve this system for x:
4.032701564615071x + 1y = 10
2x + 4y = 12
FINAL: | 1.981486 | 1.981486 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 44 | 4.12941 | Solve this system for x:
4.129409522551259x + 1y = 10
2x + 4y = 12
FINAL: | 1.928688 | 1.928688 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 45 | 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 | 46 | 4.304381 | Solve this system for x:
4.30438071450436x + 1y = 10
2x + 4y = 12
FINAL: | 1.839984 | 1.839984 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 47 | 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 | 2 | 240 | 48 | 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 | 2 | 240 | 49 | 4.473465 | Solve this system for x:
4.473465064747552x + 1y = 10
2x + 4y = 12
FINAL: | 1.761687 | 1.761687 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 50 | 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 | 2 | 240 | 51 | 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 | 2 | 240 | 52 | 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 | 2 | 240 | 53 | 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 | 2 | 240 | 54 | 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 | 2 | 240 | 55 | 4.329673 | Solve this system for x:
4.329672907550034x + 1y = 10
2x + 4y = 12
FINAL: | 1.827832 | 1.827832 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 56 | 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 | 2 | 240 | 57 | 4.16072 | Solve this system for x:
4.1607197326515815x + 1y = 10
2x + 4y = 12
FINAL: | 1.912192 | 1.912192 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 58 | 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 | 2 | 240 | 59 | 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 | 2 | 240 | 60 | 3.87059 | Solve this system for x:
3.870590477448741x + 1y = 10
2x + 4y = 12
FINAL: | 2.076787 | 2.076787 |
linear_system | 2 | sinusoid | 2.5 | 2 | 240 | 61 | 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 | 2 | 240 | 62 | 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 | 2 | 240 | 63 | 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 | 4 | 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 | 4 | 240 | 1 | 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 | 4 | 240 | 2 | 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 | 4 | 240 | 3 | 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 | 4 | 240 | 4 | 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 | 4 | 240 | 5 | 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 | 4 | 240 | 6 | 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 | 4 | 240 | 7 | 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 | 4 | 240 | 8 | 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 | 4 | 240 | 9 | 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 | 4 | 240 | 10 | 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 | 4 | 240 | 11 | 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 | 4 | 240 | 12 | 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 | 4 | 240 | 13 | 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 | 4 | 240 | 14 | 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 | 4 | 240 | 15 | 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 | 4 | 240 | 16 | 3.566987 | Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 17 | 3.504278 | Solve this system for x:
3.5042775693130945x + 1y = 10
2x + 4y = 12
FINAL: | 2.330011 | 2.330011 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 18 | 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 | 4 | 240 | 19 | 3.603323 | Solve this system for x:
3.6033233298543816x + 1y = 10
2x + 4y = 12
FINAL: | 2.255646 | 2.255646 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 20 | 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 | 4 | 240 | 21 | 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 | 4 | 240 | 22 | 4.12941 | Solve this system for x:
4.129409522551259x + 1y = 10
2x + 4y = 12
FINAL: | 1.928688 | 1.928688 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 23 | 4.304381 | Solve this system for x:
4.30438071450436x + 1y = 10
2x + 4y = 12
FINAL: | 1.839984 | 1.839984 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 24 | 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 | 4 | 240 | 25 | 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 | 4 | 240 | 26 | 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 | 4 | 240 | 27 | 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 | 4 | 240 | 28 | 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 | 4 | 240 | 29 | 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 | 4 | 240 | 30 | 3.87059 | Solve this system for x:
3.870590477448741x + 1y = 10
2x + 4y = 12
FINAL: | 2.076787 | 2.076787 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 31 | 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 | 4 | 240 | 32 | 3.566987 | Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 33 | 3.504278 | Solve this system for x:
3.5042775693130945x + 1y = 10
2x + 4y = 12
FINAL: | 2.330011 | 2.330011 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 34 | 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 | 4 | 240 | 35 | 3.603323 | Solve this system for x:
3.6033233298543816x + 1y = 10
2x + 4y = 12
FINAL: | 2.255646 | 2.255646 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 36 | 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 | 4 | 240 | 37 | 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 | 4 | 240 | 38 | 4.12941 | Solve this system for x:
4.129409522551259x + 1y = 10
2x + 4y = 12
FINAL: | 1.928688 | 1.928688 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 39 | 4.304381 | Solve this system for x:
4.30438071450436x + 1y = 10
2x + 4y = 12
FINAL: | 1.839984 | 1.839984 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 40 | 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 | 4 | 240 | 41 | 4.495722 | Solve this system for x:
4.495722430686905x + 1y = 10
2x + 4y = 12
FINAL: | 1.751873 | 1.751873 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 42 | 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 | 4 | 240 | 43 | 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 | 4 | 240 | 44 | 4.25 | Solve this system for x:
4.250000000000002x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 45 | 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 | 4 | 240 | 46 | 3.87059 | Solve this system for x:
3.870590477448741x + 1y = 10
2x + 4y = 12
FINAL: | 2.076787 | 2.076787 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 47 | 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 | 4 | 240 | 48 | 3.566987 | Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 4 | 240 | 49 | 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 | 4 | 240 | 50 | 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 | 4 | 240 | 51 | 3.603323 | Solve this system for x:
3.6033233298543816x + 1y = 10
2x + 4y = 12
FINAL: | 2.255646 | 2.255646 |
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