Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219301	Find the Holes in the Graph	f(x)=(x^2+3x-4)/x	$f (x) = \frac{x^{2} + 3 x - 4}{x}$
219302	Simplify	((3j^2)/(5k))÷((6j)/(10k))	$\frac{3 j^{2}}{5 k} \div \frac{6 j}{10 k}$
219303	Find the Holes in the Graph	(2x+8)/(3x+12)	$\frac{2 x + 8}{3 x + 12}$
219304	Evaluate Using the Given Value	Find P(theta) if theta=(9pi)/4	Find $P (θ)$ if $θ = \frac{9 π}{4}$
219305	Simplify	((r^3s^-1)/(r^2s^6))^-1	${(\frac{r^{3} s^{- 1}}{r^{2} s^{6}})}^{- 1}$
219306	Solve the System of Inequalities	-3x-1<=2x+9 and -4x+3>-2x+11	$- 3 x - 1 \leq 2 x + 9$ and $- 4 x + 3 > - 2 x + 11$
219307	Factor	30xy^2z+25x^2yz^2-5yz	$30 x y^{2} z + 25 x^{2} y z^{2} - 5 y z$
219308	Graph	y=3-4sin(2/3(x-1))	$y = 3 - 4 \sin (\frac{2}{3} (x - 1))$
219309	Graph	f(x)=2/(x^4-16) on interval (0,2) union (2,infinity)	$f (x) = \frac{2}{x^{4} - 16}$ on interval $(0, 2) \cup (2, \infty)$
219310	Simplify	(v-6)/((v+3)(v-3))+4/((v+3)(v-3))	$\frac{v - 6}{(v + 3) (v - 3)} + \frac{4}{(v + 3) (v - 3)}$
219311	Solve for x	3/(3x^2+5x-12)=1/(3x^2+5x-12)-1/(x+3)	$\frac{3}{3 x^{2} + 5 x - 12} = \frac{1}{3 x^{2} + 5 x - 12} - \frac{1}{x + 3}$
219312	Find the Exact Value	1/(2+ square root of 3)+1/(2- square root of 3)	$\frac{1}{2 + \sqrt{3}} + \frac{1}{2 - \sqrt{3}}$
219313	Simplify	(-7x^3+5x^2-x+6)-(-8x^3+x^2+3)	$(- 7 x^{3} + 5 x^{2} - x + 6) - (- 8 x^{3} + x^{2} + 3)$
219314	Graph	x/2+1<=3x+2	$\frac{x}{2} + 1 \leq 3 x + 2$
219315	Write the Fraction in Simplest Form	((4s^-1j^-3)^-3)/(20s^-2)	$\frac{{(4 s^{- 1} j^{- 3})}^{- 3}}{20 s^{- 2}}$
219316	Solve for t	cos(t)^3=cos(t)	$\cos^{3} (t) = \cos (t)$
219317	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+9x^2-17x-5 is divided by 2x+5	Use the long division method to find the result when $6 x^{3} + 9 x^{2} - 17 x - 5$ is divided by $2 x + 5$
219318	Solve for c	3/4=7.5/(2c)	$\frac{3}{4} = \frac{7.5}{2 c}$
219319	Solve for b	-1.2b-5.3>=1.9	$- 1.2 b - 5.3 \geq 1.9$
219320	Evaluate	e^x*e^(-x)	$e^{x} \cdot e^{- x}$
219321	Simplify	(-( square root of 2)/2)÷(( square root of 2)/2)	$- \frac{\sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$
219322	Graph	f(t)=1/10t^2(t-4)^3(t+5)^2	$f (t) = \frac{1}{10} t^{2} {(t - 4)}^{3} {(t + 5)}^{2}$
219323	Simplify	-(57)^0+(1/2)^-2-1^5	$- {(57)}^{0} + {(\frac{1}{2})}^{- 2} - 1^{5}$
219324	Simplify	((3m^3n)/(n^3))^-3	${(\frac{3 m^{3} n}{n^{3}})}^{- 3}$
219325	Simplify	(12-8)^3-2*7+ square root of 36	${(12 - 8)}^{3} - 2 \cdot 7 + \sqrt{36}$
219326	Simplify	square root of 2ab^2* square root of 10a^5b	$\sqrt{2 a b^{2}} \cdot \sqrt{10 a^{5} b}$
219327	Solve for t	3csc(t)^2=4	$3 \csc^{2} (t) = 4$
219328	Simplify	f(x) = cube root of 27x^9	$f (x) = \sqrt[3]{27 x^{9}}$
219329	Evaluate	(5*180)/pi	$\frac{5 \cdot 180}{π}$
219330	Simplify	40+5^2-7*4	$40 + 5^{2} - 7 \cdot 4$
219331	Solve for x	4/(x+2)=(x^2)/(x+2)	$\frac{4}{x + 2} = \frac{x^{2}}{x + 2}$
219332	Solve for x	3x-4(5x-2)=12x-(5x-6)	$3 x - 4 (5 x - 2) = 12 x - (5 x - 6)$
219333	Simplify	1/(x^2+2x)+x/(x+2)	$\frac{1}{x^{2} + 2 x} + \frac{x}{x + 2}$
219334	Solve for x	(2^(2x)+2)(2^(3x-7))=2^25	$(2^{2 x} + 2) (2^{3 x - 7}) = 2^{25}$
219335	Evaluate	(-20)÷(-5)(3)+6-5*-2	$(- 20) \div (- 5) (3) + 6 - 5 \cdot - 2$
219336	Simplify	(3/(2n^2))^(2/3)	${(\frac{3}{2 n^{2}})}^{\frac{2}{3}}$
219337	Find the Inverse	y=-3/5x+7/5	$y = - \frac{3}{5} x + \frac{7}{5}$
219338	Solve the Inequality for y	y/-3+17>12	$\frac{y}{- 3} + 17 > 12$
219339	Solve the Rational Equation for x	square root of x+11=15	$\sqrt{x} + 11 = 15$
219340	Solve for x	7^(x+3) = square root of 7	$7^{x + 3} = \sqrt{7}$
219341	Evaluate	square root of x+2=x	$\sqrt{x + 2} = x$
219342	Solve the System of Equations	x+y=19 y=3x-1	$x + y = 19$ $y = 3 x - 1$
219343	Write in y=mx+b Form	(-8,-2) and (-4,6)	$(- 8, - 2)$ and $(- 4, 6)$
219344	Evaluate	40% of 40	$40 %$ of $40$
219345	Factor	(y^4+8y^3+16y^2)-(y^2+8y+16)	$(y^{4} + 8 y^{3} + 16 y^{2}) - (y^{2} + 8 y + 16)$
219346	Find the Degree	-6y^5z^5-(x^4)/3	$- 6 y^{5} z^{5} - \frac{x^{4}}{3}$
219347	Simplify	i^119+i^42+5i^57-8i^74	$i^{119} + i^{42} + 5 i^{57} - 8 i^{74}$
219348	Solve the Inequality for p	\|(2p-8)/4\|>=9	$\| \frac{2 p - 8}{4} \| \geq 9$
219349	Simplify	(x-1)/(9x+9)*(x^2-2x-3)/(x^2+5x-6)	$\frac{x - 1}{9 x + 9} \cdot \frac{x^{2} - 2 x - 3}{x^{2} + 5 x - 6}$
219350	Simplify	(xy^-5)/( square root of 16x^3y^2)	$\frac{x y^{- 5}}{\sqrt{16 x^{3} y^{2}}}$
219351	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(- 4, - 2)$ and has a slope of $- \frac{1}{2}$ ?
219352	Evaluate	square root of 3csc(x)-2=0	$\sqrt{3} \csc (x) - 2 = 0$
219353	Simplify	-3xi^4+9xi	$- 3 x i^{4} + 9 x i$
219354	Find the Roots (Zeros)	x^2=-1	$x^{2} = - 1$
219355	Simplify	9^15*1/(9^15)	$9^{15} \cdot \frac{1}{9^{15}}$
219356	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?	What is the equation of the line that passes through the point $(5, 6)$ and has a slope of $2$ ?
219357	Multiply	3/5(-1/6)	$\frac{3}{5} (- \frac{1}{6})$
219358	Solve for B	(sec(x)-1)/(sec(x)+1)=(A-cos(x))/(B+cos(x))	$\frac{\sec (x) - 1}{\sec (x) + 1} = \frac{A - \cos (x)}{B + \cos (x)}$
219359	Solve for x	35/(x^2+x-6)-6/(x+3)=7/(x-2)	$\frac{35}{x^{2} + x - 6} - \frac{6}{x + 3} = \frac{7}{x - 2}$
219360	Determine if True	(sec(theta)sin(theta))/(tan(theta)+cot(theta))=sin(theta)^2	$\frac{\sec (θ) \sin (θ)}{\tan (θ) + \cot (θ)} = \sin^{2} (θ)$
219361	Solve Using the Quadratic Formula	x^2-y=-4x-3	$x^{2} - y = - 4 x - 3$
219362	Solve for B	8x+By=60	$8 x + B y = 60$
219363	Graph	2n+7>=27 or 3+3n<=30	$2 n + 7 \geq 27$ or $3 + 3 n \leq 30$
219364	Graph	f(x)=a\|x\|	$f (x) = a \| x \|$
219365	Evaluate	a*a^-10	$a \cdot a^{- 10}$
219366	Simplify the Radical Expression	square root of 8y^5* square root of 40y^2	$\sqrt{8 y^{5}} \cdot \sqrt{40 y^{2}}$
219367	Find the Roots (Zeros)	f(x)=2+4sin(x)	$f (x) = 2 + 4 \sin (x)$
219368	Solve for x	3-4x+5=2(8-2x)	$3 - 4 x + 5 = 2 (8 - 2 x)$
219369	Graph	x>=-6 y<3	$x \geq - 6$ $y < 3$
219370	Evaluate	y=4^-2	$y = 4^{- 2}$
219371	Solve for a	-10=- square root of a	$- 10 = - \sqrt{a}$
219372	Evaluate	r = cube root of (3v)/(4pi)	$r = \sqrt[3]{\frac{3 v}{4 π}}$
219373	Solve for w	-6y^2-21=s(y^2+w)	$- 6 y^{2} - 21 = s (y^{2} + w)$
219374	Simplify	((4p-8)/(p^3-2p^2)-(q+2)/(q^3+2q^2))*p/(2q-p)	$(\frac{4 p - 8}{p^{3} - 2 p^{2}} - \frac{q + 2}{q^{3} + 2 q^{2}}) \cdot \frac{p}{2 q - p}$
219375	Evaluate	i^10i^37i^36	$i^{10} \cdot i^{37} \cdot i^{36}$
219376	Solve the System of Equations	x^2+y^2=9 9x+2y=16	$x^{2} + y^{2} = 9$ $9 x + 2 y = 16$
219377	Factor	(27x^3-8)/(9x^2-4)	$\frac{27 x^{3} - 8}{9 x^{2} - 4}$
219378	Evaluate	60% of 70	$60 %$ of $70$
219379	Solve the System of Equations	y=x^2 y-9=0	$y = x^{2}$ $y - 9 = 0$
219380	Evaluate	10-3\|9-3(3-1)\|	$10 - 3 \| 9 - 3 (3 - 1) \|$
219381	Evaluate	( square root of x+ square root of 2)^2	${(\sqrt{x} + \sqrt{2})}^{2}$
219382	Find the x and y Intercepts	f^-1(x)=x/2-1/2	$f^{- 1} (x) = \frac{x}{2} - \frac{1}{2}$
219383	Find the Excluded Values	3/x=3/(4x)+3	$\frac{3}{x} = \frac{3}{4 x} + 3$
219384	Graph	g(x)=3(x-1)*2+2	$g (x) = 3 (x - 1) \cdot 2 + 2$
219385	Simplify	-0.125 square root of 192	$- 0.125 \sqrt{192}$
219386	Graph	x+2y=-2 y=-1/3x	$x + 2 y = - 2$ $y = - \frac{1}{3} x$
219387	Convert to a Percentage	what percent of 300 is 51	what percent of $300$ is $51$
219388	Solve for x	x-theta+x+x+theta=102	$x - θ + x + x + θ = 102$
219389	Find the Exact Value	-2/5-(-9/15)	$- \frac{2}{5} - (- \frac{9}{15})$
219390	Determine if a Polynomial	8z^5+4y^-4z^3+z	$8 z^{5} + 4 y^{- 4} z^{3} + z$
219391	Solve the Inequality for x	-5x^2+8<-6x	$- 5 x^{2} + 8 < - 6 x$
219392	Simplify	((2x^3+20x^2+32x)/(x^2-7x-18)*-6/(6x+48))÷((-x-10)/(x^2+x-90))	$\frac{2 x^{3} + 20 x^{2} + 32 x}{x^{2} - 7 x - 18} \cdot \frac{- 6}{6 x + 48} \div \frac{- x - 10}{x^{2} + x - 90}$
219393	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+18x^2+10x-25 is divided by x+5	Use the long division method to find the result when $3 x^{3} + 18 x^{2} + 10 x - 25$ is divided by $x + 5$
219394	Solve the System of Inequalities	y<=2x-6 y<=-1/2x-1	$y \leq 2 x - 6$ $y \leq - \frac{1}{2} x - 1$
219395	Evaluate	85% of 80	$85 %$ of $80$
219396	Subtract	(2x+1)/(6x^2)-(7x-2)/(6x^2)	$\frac{2 x + 1}{6 x^{2}} - \frac{7 x - 2}{6 x^{2}}$
219397	Find the Excluded Values	(x+4)/(x^2-x-12)+(2x)/(x-4)	$\frac{x + 4}{x^{2} - x - 12} + \frac{2 x}{x - 4}$
219398	Find the Product	2y^2*3x	$2 y^{2} \cdot 3 x$
219399	Simplify	square root of 2x^3* square root of 5x^3	$\sqrt{2 x^{3}} \cdot \sqrt{5 x^{3}}$
219400	Combine Like Terms	(a^3-2a^2)-(3a^2-4a^3)	$(a^{3} - 2 a^{2}) - (3 a^{2} - 4 a^{3})$