qid stringlengths 1 6 | question stringlengths 12 3.72k | answer_int int32 0 100k | answer_digits listlengths 5 5 | K_star int32 1 20 | k_max int32 20 20 | latent_vectors listlengths 1 20 |
|---|---|---|---|---|---|---|
18 | For an odd function $f(x)$ with the domain of all real numbers $\mathbb{R}$, find the value of $f(-2) + f(2)$. | 0 | [
0,
0,
0,
0,
0
] | 2 | 20 | [
[
-2.4375,
2.390625,
0.96484375,
-1.4453125,
-1.484375,
-1.8984375,
1.671875,
2.578125,
1.0859375,
-0.1875,
-0.99609375,
1.515625,
-2.28125,
1.9453125,
-1.4453125,
1.109375,
-1.1328125,
0.37890625,
-2.140625,
-2.21875,
-2.96875,
... |
54 | Johnny makes $8.25 per hour at his work. If he earns $16.5, how many hours did he work? | 2 | [
0,
0,
0,
0,
2
] | 2 | 20 | [
[
-1.9609375,
1.2421875,
1.375,
-2.59375,
-2.875,
-0.15625,
2.421875,
1.65625,
-0.83984375,
-1.0390625,
0.212890625,
2.015625,
-2.53125,
3.140625,
-2.53125,
0.2314453125,
-0.90234375,
0.8828125,
-3.4375,
-0.61328125,
-1.1171875,
... |
127 | When a certain number is divided by the number of students in Hyungjun's class, the quotient is 1.2, and when the number of students in Hyungjun's class is divided by the number of students in Jinmok's class, the quotient is 5/6. If you divide a certain number by the number of students in Jinmok's class, what is the qu... | 1 | [
0,
0,
0,
0,
1
] | 2 | 20 | [
[
-2.28125,
1.171875,
0.515625,
-2.15625,
-1.9921875,
-0.66015625,
2.890625,
2.546875,
-1.03125,
-0.9296875,
-0.91796875,
1.9765625,
-3,
2.21875,
-3.265625,
1.15625,
-1.40625,
-0.119140625,
-1.734375,
-2.5625,
-2.296875,
1.96875... |
148 | Brenda's mother made 'x' batches of cookies, with each batch containing a fractional amount of 'y/z' cookies. In total, she made 35 cookies. If these 35 cookies were distributed evenly among 5 people, how many cookies did each person receive? | 7 | [
0,
0,
0,
0,
7
] | 2 | 20 | [
[
-2.265625,
1.9765625,
1.1328125,
-2.171875,
-3,
-1.1796875,
2.296875,
2.28125,
-0.138671875,
-0.65625,
-0.74609375,
1.8984375,
-2.8125,
1.7890625,
-3.015625,
1.421875,
-1.234375,
-0.12255859375,
-2.546875,
-2.515625,
-2.46875,
... |
182 | If the function $f(x) = \frac{2}{3^x + 1} - a$ is an odd function, then the value of the real number $a$ is _______. | 1 | [
0,
0,
0,
0,
1
] | 2 | 20 | [
[
-1.6875,
0.7109375,
1.1796875,
-1.34375,
-1.328125,
-0.248046875,
1.3984375,
2.578125,
0.125,
-1.6796875,
-1.109375,
1.9921875,
-2.84375,
2.984375,
-2.0625,
0.1845703125,
-0.78125,
-0.1181640625,
-2.328125,
-1.4609375,
-1.609375,
... |
239 | Maria goes to the coffee shop 2 times a day. Every time she goes to the coffee shop, she orders a certain number of cups of coffee. She orders 6 cups of coffee per day. How many cups of coffee does she order each time she goes to the coffee shop? | 3 | [
0,
0,
0,
0,
3
] | 2 | 20 | [
[
-1.9609375,
1.4453125,
1.234375,
-2.984375,
-2.4375,
-0.44140625,
2.671875,
1.53125,
-0.427734375,
-0.80078125,
-0.05615234375,
1.859375,
-3.09375,
3,
-2.90625,
0.37109375,
-1.28125,
0.28515625,
-3.59375,
-0.73046875,
-1.3359375,
... |
303 | "4 people can ride the Ferris wheel in paradise park at the same time. If each seat on the Ferris wh(...TRUNCATED) | 2 | [
0,
0,
0,
0,
2
] | 2 | 20 | [[-1.6484375,2.0625,0.98046875,-2.046875,-2.953125,-1.5078125,2.234375,1.8359375,-0.087890625,0.0976(...TRUNCATED) |
386 | "Evaluate the expression $\\left\\lceil{\\frac{7}{3}}\\right\\rceil+\\left\\lfloor{-\\frac{7}{3}}\\r(...TRUNCATED) | 0 | [
0,
0,
0,
0,
0
] | 2 | 20 | [[-1.7578125,2.265625,1.2265625,-2.6875,-2.15625,-1.1328125,2.890625,2.234375,0.265625,-0.84765625,-(...TRUNCATED) |
427 | "Kyle knows that \\( 16 = 2^{7r - 3} \\). What is the value of \\( r \\)? Express your answer as a c(...TRUNCATED) | 1 | [
0,
0,
0,
0,
1
] | 2 | 20 | [[-2.171875,1.7109375,1.0703125,-3.109375,-2.203125,-1.1484375,3.0625,1.8515625,0.09716796875,-1.132(...TRUNCATED) |
450 | "Calculate the average student headcount for the spring terms of the `05-`06, `06-`07, `07-`08, and (...TRUNCATED) | 11,700 | [
1,
1,
7,
0,
0
] | 2 | 20 | [[-1.8203125,2.5625,1.2265625,-2.375,-2.453125,-1.3046875,2.59375,2.296875,-0.298828125,-0.373046875(...TRUNCATED) |
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