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Problems unlock one after another, from simple all the way to genius. Every one you solve adds XP.

1,198 problems
9 difficulty levels
+5 to +405 XP per problem

All problems

Showing 1,057–1,104 of 1,198

8.59Calculus
Locked
A damped sine integral
Difficulty 8 of 9+320 XP
8.60Calculus
Locked
The right-hand side 1/cos x
Difficulty 8 of 9+320 XP
8.61Calculus
Locked
Extrema with a degenerate point
Difficulty 8 of 9+320 XP
8.62Calculus
Locked
Between a cone and a paraboloid
Difficulty 8 of 9+320 XP
8.63Calculus
Locked
Fourth powers from a Fourier series
Difficulty 8 of 9+320 XP
8.64Calculus
Locked
A system with spiralling trajectories
Difficulty 8 of 9+320 XP
8.65Calculus
Locked
The distance from the origin to a surface
Difficulty 8 of 9+320 XP
8.66Calculus
Locked
An ice-cream cone
Difficulty 8 of 9+320 XP
8.67Calculus
Locked
A sum function with even powers
Difficulty 8 of 9+320 XP
8.68Calculus
Locked
A polynomial times cosine in resonance
Difficulty 8 of 9+320 XP
8.69Calculus
Locked
Global extrema on a square
Difficulty 8 of 9+320 XP
8.70Calculus
Locked
A closed curve with exponentials
Difficulty 8 of 9+320 XP
8.71Calculus
Locked
The radius of a series with gaps
Difficulty 8 of 9+320 XP
8.72Algebra
Locked
The fundamental matrix of a 3 × 3 system
Difficulty 8 of 9+320 XP
8.73Calculus
Locked
A Taylor polynomial of an implicit function
Difficulty 8 of 9+320 XP
8.74Calculus
Locked
The mass of a wire
Difficulty 8 of 9+320 XP
8.75Calculus
Locked
Uniform convergence on the whole line
Difficulty 8 of 9+320 XP
8.76Calculus
Locked
A boundary value problem with a parameter
Difficulty 8 of 9+320 XP
8.77Calculus
Locked
Extrema on a disc of radius 5
Difficulty 8 of 9+320 XP
8.78Calculus
Locked
A ball touching the origin
Difficulty 8 of 9+320 XP
8.79Calculus
Locked
How fast the exponential is approached
Difficulty 8 of 9+320 XP
8.80Algebra
Locked
The exponential of a skew-symmetric matrix
Difficulty 8 of 9+320 XP
8.81Calculus
Locked
A rotated ellipse and the origin
Difficulty 8 of 9+320 XP
8.82Calculus
Locked
Hyperbolas and lines
Difficulty 8 of 9+320 XP
8.83Calculus
Locked
A product of two logarithms
Difficulty 8 of 9+320 XP
8.84Calculus
Locked
An equation with variable coefficients
Difficulty 8 of 9+320 XP
8.85Calculus
Locked
The largest box in an ellipsoid
Difficulty 8 of 9+320 XP
8.86Calculus
Locked
Two crossing cylinders
Difficulty 8 of 9+320 XP
8.87Calculus
Locked
A cosine series at a third of π
Difficulty 8 of 9+320 XP
8.88Calculus
Locked
A quadratic first-order equation
Difficulty 8 of 9+320 XP
8.89Calculus
Locked
A radially symmetric harmonic function
Difficulty 8 of 9+320 XP
8.90Calculus
Locked
A field singular at the origin
Difficulty 8 of 9+320 XP
8.91Calculus
Locked
An alternating series of cubes
Difficulty 8 of 9+320 XP
8.92Calculus
Locked
An equation that is not exact
Difficulty 8 of 9+320 XP
8.93Calculus
Locked
A product of three numbers under two constraints
Difficulty 8 of 9+320 XP
8.94Calculus
Locked
An exponential of a quotient on a triangle
Difficulty 8 of 9+320 XP
8.95Calculus
Locked
The series 1/(n² + 1) from the exponential
Difficulty 8 of 9+320 XP
8.96Calculus
Locked
A nonlinear system with a circle
Difficulty 8 of 9+320 XP
8.97Calculus
Locked
A sum of sines on a triangle
Difficulty 8 of 9+320 XP
8.98Calculus
Locked
A Gaussian integral with a mixed term
Difficulty 8 of 9+320 XP
8.99Calculus
Locked
Sixth powers from a cubic
Difficulty 8 of 9+320 XP
8.100Calculus
Locked
Two competing species
Difficulty 8 of 9+320 XP
9.1Arithmetic
Locked
A divisor hidden in the cube root
Difficulty 9 of 9+405 XP
9.2Combinatorics
Locked
Chairs with bounded gaps
Difficulty 9 of 9+405 XP
9.3Algebra
Locked
A sum with fourth roots
Difficulty 9 of 9+405 XP
9.4Geometry
Locked
Lattice points in a large triangle
Difficulty 9 of 9+405 XP
9.5Arithmetic
Locked
A sum of greatest common divisors
Difficulty 9 of 9+405 XP
9.6Probability
Locked
Among the best two
Difficulty 9 of 9+405 XP

Solve problems

All problems

A damped sine integral

The right-hand side 1/cos x

Extrema with a degenerate point

Between a cone and a paraboloid

Fourth powers from a Fourier series

A system with spiralling trajectories

The distance from the origin to a surface

An ice-cream cone

A sum function with even powers

A polynomial times cosine in resonance

Global extrema on a square

A closed curve with exponentials

The radius of a series with gaps

The fundamental matrix of a 3 × 3 system

A Taylor polynomial of an implicit function

The mass of a wire

Uniform convergence on the whole line

A boundary value problem with a parameter

Extrema on a disc of radius 5

A ball touching the origin

How fast the exponential is approached

The exponential of a skew-symmetric matrix

A rotated ellipse and the origin

Hyperbolas and lines

A product of two logarithms

An equation with variable coefficients

The largest box in an ellipsoid

Two crossing cylinders

A cosine series at a third of π

A quadratic first-order equation

A radially symmetric harmonic function

A field singular at the origin

An alternating series of cubes

An equation that is not exact

A product of three numbers under two constraints

An exponential of a quotient on a triangle

The series 1/(n² + 1) from the exponential

A nonlinear system with a circle

A sum of sines on a triangle

A Gaussian integral with a mixed term

Sixth powers from a cubic

Two competing species

A divisor hidden in the cube root

Chairs with bounded gaps

A sum with fourth roots

Lattice points in a large triangle

A sum of greatest common divisors

Among the best two