Challenges · Examples

Solve Examples

Unlock challenges step by step. Every solved example adds XP to your career.

0 / 298 solved

268 results

#175 · Functions

Double composition

Locked
D5/10125XP

#176 · Probability

Even sum

Locked
D5/10125XP

#177 · Arithmetic

Trailing zeros of 25!

Locked
D5/10125XP

#178 · Calculus

A famous limit

Locked
D5/10125XP

#179 · Equations

Common base

Locked
D5/10125XP

#180 · Combinatorics

Two teams from eight

Locked
D5/10125XP

#181 · Calculus

Definite integral II

Locked
D5/10125XP

#182 · Arithmetic

Sum of squares 1 to 10

Locked
D5/10125XP

#183 · Equations

Unknown in base and exponent

Locked
D5/10125XP

#184 · Probability

Exactly three heads

Locked
D5/10125XP

#185 · Geometry

Inscribed circle

Locked
D5/10125XP

#186 · Combinatorics

Letters in wrong envelopes

Locked
D5/10125XP

#187 · Functions

Function from f(2x)

Locked
D5/10125XP

#188 · Calculus

Local maximum

Locked
D5/10125XP

#189 · Logic

One hundred lockers

Locked
D5/10125XP

#190 · Equations

Logarithmic equation II

Locked
D5/10125XP

#191 · Calculus

Integral of sine

Locked
D6/10180XP

#192 · Combinatorics

Increasing digits

Locked
D6/10180XP

#193 · Algebra

Symmetric expressions

Locked
D6/10180XP

#194 · Probability

Three dice, sum 10

Locked
D6/10180XP

#195 · Geometry

Largest rectangle in a circle

Locked
D6/10180XP

#196 · Arithmetic

Last two digits

Locked
D6/10180XP

#197 · Functions

Functional equation

Locked
D6/10180XP

#198 · Calculus

Integration by parts

Locked
D6/10180XP

#199 · Arithmetic

Units digit of 7^100

Locked
D7/10245XP

#200 · Arithmetic

Remainder of 2^50 divided by 7

Locked
D7/10245XP

#201 · Arithmetic

Divisibility by 3 or 7

Locked
D7/10245XP

#202 · Arithmetic

Sum of divisors of 360

Locked
D7/10245XP

#203 · Algebra

Common ratio of geometric series

Locked
D7/10245XP

#204 · Geometry

Area of triangle with sides 13, 14, 15

Locked
D7/10245XP

#205 · Algebra

Logarithmic equation

Locked
D7/10245XP

#206 · Combinatorics

Combinations – committee of 4 from 10

Locked
D7/10245XP

#207 · Probability

Probability of sum 8 on two dice

Locked
D7/10245XP

#208 · Arithmetic

Numbers with exactly 3 divisors

Locked
D7/10245XP

#209 · Functions

Composite function f(f(2))

Locked
D7/10245XP

#210 · Arithmetic

Largest prime factor of 2310

Locked
D7/10245XP

#211 · Combinatorics

3-digit palindromes

Locked
D7/10245XP

#212 · Algebra

Arithmetic sequence – find a₁₀

Locked
D7/10245XP

#213 · Algebra

Telescoping sum

Locked
D7/10245XP

#214 · Algebra

Infinite nested radical √(2 + √(2 + …))

Locked
D7/10245XP

#215 · Combinatorics

Diagonals of a 12-gon

Locked
D7/10245XP

#216 · Algebra

x + 1/x = 3, find x² + 1/x²

Locked
D7/10245XP

#217 · Combinatorics

8 people seated at a round table

Locked
D7/10245XP

#218 · Arithmetic

100! mod 97

Locked
D7/10245XP

#219 · Functions

Minimum of f(x) = x² − 6x + 13

Locked
D7/10245XP

#220 · Combinatorics

Distributing 10 balls into 3 boxes

Locked
D7/10245XP

#221 · Algebra

Euler's polynomial aₙ = n² − n + 41

Locked
D7/10245XP

#222 · Algebra

Infinite nested radical √(x + √(x + …)) = 5

Locked
D7/10245XP