id int64 | question string | final_answer list | embedding list | embedding_question list |
|---|---|---|---|---|
800 | A quarantined physics student decides to perform an experiment to land a small box of mass $m=60 \mathrm{~g}$ onto the center of a target a distance $\Delta d$ away. The student puts the box on a top of a frictionless ramp with height $h_{2}=0.5 \mathrm{~m}$ that is angled $\theta=30^{\circ}$ to the horizontal on a tab... | [
"2.47"
] | [
0.031494140625,
-0.0478515625,
-0.00921630859375,
0.0126953125,
-0.00007200241088867188,
0.017578125,
-0.007537841796875,
0.025390625,
-0.01019287109375,
0.0296630859375,
-0.051513671875,
0.00109100341796875,
0.000499725341796875,
-0.020751953125,
0.01507568359375,
0.000667572021484375... | [
0.03515625,
-0.03857421875,
-0.0130615234375,
0.0184326171875,
0.002197265625,
0.013427734375,
-0.01513671875,
0.01495361328125,
-0.0164794921875,
0.0257568359375,
-0.0615234375,
-0.005279541015625,
-0.00066375732421875,
-0.0302734375,
0.0115966796875,
-0.0052490234375,
-0.0283203125... |
801 | "A wooden bus of mass $M=20,000 \\mathrm{~kg}$ ( $M$ represents the mass excluding the wheels) is on(...TRUNCATED) | [
"3.32"
] | [0.01171875,-0.0194091796875,0.000392913818359375,0.017578125,0.00811767578125,0.041748046875,0.0289(...TRUNCATED) | [0.01348876953125,-0.01409912109375,0.00021076202392578125,0.0194091796875,0.00689697265625,0.033203(...TRUNCATED) |
804 | "A ball is situated at the midpoint of the bottom of a rectangular ditch with width $1 \\mathrm{~m}$(...TRUNCATED) | [
"2"
] | [0.0172119140625,-0.004913330078125,-0.01708984375,0.03515625,-0.0011138916015625,0.01385498046875,0(...TRUNCATED) | [0.013671875,-0.005340576171875,-0.0189208984375,0.0225830078125,-0.0015411376953125,0.0196533203125(...TRUNCATED) |
805 | "A frictionless track contains a loop of radius $R=0.5 \\mathrm{~m}$. Situated on top of the track l(...TRUNCATED) | [
"$2.37$"
] | [0.038330078125,-0.0284423828125,-0.0113525390625,0.0274658203125,-0.005096435546875,0.046142578125,(...TRUNCATED) | [0.042724609375,-0.018310546875,-0.01171875,0.03564453125,0.004913330078125,0.033447265625,0.0211181(...TRUNCATED) |
809 | "The following diagram depicts a single wire that is bent into the shape below. The circuit is place(...TRUNCATED) | [
"$1.9$"
] | [0.0233154296875,-0.0166015625,-0.01373291015625,-0.0017242431640625,-0.01275634765625,0.00132751464(...TRUNCATED) | [0.0052490234375,-0.01507568359375,-0.01953125,0.004974365234375,-0.005584716796875,0.00331115722656(...TRUNCATED) |
815 | "For his art project, Weishaupt cut out $N=20$ wooden equilateral triangular blocks with a side leng(...TRUNCATED) | [
"21"
] | [0.0262451171875,0.007415771484375,0.01092529296875,-0.01251220703125,-0.00433349609375,0.0070800781(...TRUNCATED) | [0.031982421875,-0.00408935546875,0.0003681182861328125,-0.0036163330078125,-0.009033203125,-0.00146(...TRUNCATED) |
818 | "The graph provided plots the $y$-component of the velocity against the $x$-component of the velocit(...TRUNCATED) | [
"1"
] | [0.0294189453125,-0.016845703125,-0.0201416015625,0.0238037109375,0.0003871917724609375,0.0358886718(...TRUNCATED) | [0.0234375,-0.0174560546875,-0.021484375,0.0018157958984375,-0.0034332275390625,0.04736328125,0.0068(...TRUNCATED) |
820 | "While exploring outer space, Darth Vader comes upon a purely reflective spherical planet with radiu(...TRUNCATED) | [
"$1.33 \\cdot 10^{35}$"
] | [0.00299072265625,-0.01385498046875,0.0010833740234375,-0.0255126953125,0.01153564453125,0.019287109(...TRUNCATED) | [-0.00127410888671875,-0.00921630859375,0.00063323974609375,-0.017578125,0.0201416015625,0.008666992(...TRUNCATED) |
822 | "Mario is racing with Wario on Moo Moo Meadows when a goomba, ready to avenge all of his friends' de(...TRUNCATED) | [
"40"
] | [0.035400390625,0.005218505859375,-0.0201416015625,-0.01361083984375,0.0205078125,0.019775390625,0.0(...TRUNCATED) | [0.0302734375,-0.00823974609375,-0.028076171875,-0.00689697265625,0.023681640625,0.0185546875,0.0198(...TRUNCATED) |
824 | "An engineer has access to a tetrahedron building block with side length $\\ell=10 \\mathrm{~cm}$. T(...TRUNCATED) | [
"4.62"
] | [0.0361328125,-0.005889892578125,-0.0185546875,-0.01336669921875,0.00946044921875,0.01446533203125,0(...TRUNCATED) | [0.034912109375,-0.00958251953125,-0.0223388671875,-0.00592041015625,0.009033203125,0.00762939453125(...TRUNCATED) |
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