id stringlengths 12 12 | question stringlengths 11 182 | sub_category stringclasses 22
values |
|---|---|---|
56c3c7d5f2cc | A store clerk earns $11 per hour plus $0.50 per item sold. If he sells 80 items during an 8-hour shift, how much does he earn? | word problems (English) |
2e0ed99c0f94 | A train going 90 km/h takes 4 hours to travel between two cities. If a faster train travels at 120 km/h, how long does the same trip take? | word problems (English) |
c0b15f20aacd | If a 30-foot ladder leans against a wall with its base 18 feet from the wall, how high up the wall does the ladder reach? | word problems (English) |
5e9eebc1efcb | A boat travels 24 miles downstream in 2 hours and 24 miles upstream in 3 hours. What is the speed of the current? | word problems (English) |
fb715bb4b74c | What is the derivative of x^3 + 2x? | calculus (English) |
70cb2ed78a0d | Evaluate the integral of sin(x) from 0 to pi. | calculus (English) |
ca130f5142a7 | What is the limit of (x^2-1)/(x-1) as x approaches 1? | calculus (English) |
2f65d21c941f | How do you find the derivative of e^x? | calculus (English) |
071bf278a577 | What is the integral of x^2 dx? | calculus (English) |
47eeaea01f87 | Find the derivative of sin(x). | calculus (English) |
311af87eeb8a | What is the limit of sin(x)/x as x approaches 0? | calculus (English) |
ba38f4bfce3c | How do you differentiate ln(x)? | calculus (English) |
689ecc8d766c | What is the integral of 1/x dx? | calculus (English) |
ddfa6d8a79b3 | Find the second derivative of x^4. | calculus (English) |
66165c749cf3 | What is the derivative of cos(x)? | calculus (English) |
fde494cb2d58 | Evaluate the integral of e^x from 0 to 1. | calculus (English) |
37bfbce69274 | What is the limit of (1 + 1/n)^n as n approaches infinity? | calculus (English) |
8b1e83c156c9 | How do you find the derivative of tan(x)? | calculus (English) |
262e812e2d3d | What is the integral of cos(x) dx? | calculus (English) |
f310316b0d10 | Find the derivative of x^5 - 3x^2 + 7. | calculus (English) |
6d973c9b37b7 | What is the limit of 1/x as x approaches infinity? | calculus (English) |
bbf48bf0bb2e | How do you use the chain rule to differentiate sin(x^2)? | calculus (English) |
922067129e1b | What is the integral of x^3 dx from 0 to 2? | calculus (English) |
6043939fa2c4 | Find the derivative of sqrt(x). | calculus (English) |
bb6dd303670f | What is the limit of (x^3 - 8)/(x - 2) as x approaches 2? | calculus (English) |
551f1d8cf540 | How do you differentiate e^(2x)? | calculus (English) |
890b4940f97b | What is the integral of sec^2(x) dx? | calculus (English) |
e4821401f3ed | Find the derivative of ln(x^2)? | calculus (English) |
9c3897a853f8 | What is the limit of x*sin(1/x) as x approaches infinity? | calculus (English) |
aaa072db8605 | How do you find the area under a curve using integration? | calculus (English) |
b5e130ed3769 | What is the derivative of x^(-1)? | calculus (English) |
4be4f2945b14 | Evaluate the integral of x*e^x dx. | calculus (English) |
936f20fb556f | What is the limit of (e^x - 1)/x as x approaches 0? | calculus (English) |
f8e7b8712168 | How do you apply the product rule to differentiate x^2 * sin(x)? | calculus (English) |
44444271d4cb | What is the integral of tan(x) dx? | calculus (English) |
4c0e811d3476 | Find the derivative of arctan(x). | calculus (English) |
3b79308dcdee | What is the limit of (cos(x) - 1)/x as x approaches 0? | calculus (English) |
741a0ab4d222 | How do you differentiate a composite function? | calculus (English) |
9662b168f4e4 | What is the integral of 1/(1+x^2) dx? | calculus (English) |
6f41e3f361ec | Find the derivative of x^x. | calculus (English) |
96244354ddc6 | What is the limit of x^(1/x) as x approaches infinity? | calculus (English) |
7942b106fb7e | How do you compute the definite integral of x^2 from 1 to 3? | calculus (English) |
0d1041879af6 | What is the derivative of sinh(x)? | calculus (English) |
b160179ed63b | Evaluate the integral of ln(x) dx. | calculus (English) |
48303e23e245 | What is the limit of (tan(x))/x as x approaches 0? | calculus (English) |
fd93648aa87d | How do you find inflection points using the second derivative? | calculus (English) |
fe516c386508 | What is the integral of x*cos(x) dx? | calculus (English) |
cddeb1f09f88 | Find the derivative of arcsin(x). | calculus (English) |
62659624d9dd | What is the limit of n^(1/n) as n approaches infinity? | calculus (English) |
02ce45973ba3 | How do you differentiate an implicit function like x^2 + y^2 = 1? | calculus (English) |
f97a6e2c0707 | What is the integral of e^(-x^2) dx from negative infinity to infinity? | calculus (English) |
9048bcc5f0ed | Find the derivative of cosh(x). | calculus (English) |
fa3c78e191f4 | What is the limit of (sqrt(x+1) - 1)/x as x approaches 0? | calculus (English) |
332bc1783901 | How do you use L'Hôpital's rule? | calculus (English) |
1d5af0f53c48 | What is the integral of x/(x^2+1) dx? | calculus (English) |
e0c950ee84d1 | Find the derivative of log base 10 of x. | calculus (English) |
ab2967a81e83 | What is the limit of x^2 * e^(-x) as x approaches infinity? | calculus (English) |
c175f728891d | How do you compute a double integral? | calculus (English) |
5f7975ed06d2 | What is the derivative of sin(x)*cos(x)? | calculus (English) |
1a8d207854e7 | Evaluate the integral of 1/sqrt(1-x^2) dx. | calculus (English) |
07bb8be51c85 | What is the limit of (1-cos(x))/x^2 as x approaches 0? | calculus (English) |
f85e41a317ea | How do you find the Taylor series of e^x? | calculus (English) |
9072043b5c11 | What is the integral of x^n dx? | calculus (English) |
ad8517faf599 | Find the derivative of e^(sin(x)). | calculus (English) |
dac6e7bb14a7 | What is the limit of ln(x)/x as x approaches infinity? | calculus (English) |
8984a53b2191 | How do you differentiate a parametric equation? | calculus (English) |
463f4146cc0a | What is the integral of sec(x)*tan(x) dx? | calculus (English) |
4a86c890498c | Find the second derivative of sin(x). | calculus (English) |
057e3e99b4ae | What is the limit of (x^2 + 3x)/(2x^2 - 1) as x approaches infinity? | calculus (English) |
9500a53120de | How do you compute the derivative of an inverse function? | calculus (English) |
9ca23e992f10 | What is the integral of cosh(x) dx? | calculus (English) |
e3d8cf7cd0c9 | Find the derivative of x^3 * ln(x). | calculus (English) |
025b7d8bef73 | What is the limit of (x - sin(x))/x^3 as x approaches 0? | calculus (English) |
c6fed8e9c6ad | How do you use integration by parts? | calculus (English) |
5477cbe3e527 | What is the derivative of arccos(x)? | calculus (English) |
c45d8691856e | Evaluate the integral of sin^2(x) dx. | calculus (English) |
acdfeb61e5eb | What is the limit of (2^x - 1)/x as x approaches 0? | calculus (English) |
91d180399a2f | How do you find the critical points of f(x) = x^3 - 6x? | calculus (English) |
53b49886fb0f | What is the integral of e^(2x) dx? | calculus (English) |
57d10a4c4fba | Find the derivative of (x^2 + 1)^5 using the chain rule. | calculus (English) |
640912eb590f | What is the probability of flipping heads three times in a row with a fair coin? | statistics and probability (English) |
f5e2bb5f75cc | Find the mean of the following numbers: 10, 20, 30, 40, 50 | statistics and probability (English) |
eb437d996160 | What is the median of 5, 3, 8, 1, 9, 2, 7? | statistics and probability (English) |
6fd4de7f28ed | How do I calculate standard deviation? | statistics and probability (English) |
f9b67af09c20 | What's the probability of drawing an ace from a standard deck of cards? | statistics and probability (English) |
86c5bf816832 | If I roll two dice, what's the probability of getting a sum of 7? | statistics and probability (English) |
403ab0a72457 | What is the mode of the dataset: 4, 5, 5, 6, 7, 5, 8, 4? | statistics and probability (English) |
c8c1ba0d10fe | What's the difference between mean and median? | statistics and probability (English) |
a5b5ad6e6d16 | Find the range of this dataset: 15, 22, 8, 31, 19, 4 | statistics and probability (English) |
7be3494ec06b | What is the probability of picking a red ball from a bag containing 3 red and 7 blue balls? | statistics and probability (English) |
ed9db004ec8e | How do I find the interquartile range? | statistics and probability (English) |
44ae9e405e8d | What is a normal distribution? | statistics and probability (English) |
f071f2617cb7 | If I flip a coin 10 times, what's the probability of getting exactly 5 heads? | statistics and probability (English) |
cfb3cacf1676 | What is the variance of the numbers 2, 4, 4, 4, 5, 5, 7, 9? | statistics and probability (English) |
a78d46342049 | What's the probability of NOT rolling a 3 on a fair six-sided die? | statistics and probability (English) |
0d92dd7eacc7 | Calculate the mean of: 13, 18, 13, 14, 13, 16, 14, 21, 13 | statistics and probability (English) |
43f0ea1c32f5 | What does it mean when two events are independent? | statistics and probability (English) |
88a0c2d6f4d6 | What is the probability of getting at least one head when flipping two coins? | statistics and probability (English) |
4cb5b2083ec4 | Find the median of: 100, 200, 300, 400, 500, 600 | statistics and probability (English) |
7ea8e274e0d8 | What is a z-score and how do I calculate it? | statistics and probability (English) |
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