Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
23601	Find the Parabola with Focus (1,4) and Directrix x=5	(1,4) x=5	$(1, 4)$ $x = 5$
23602	Find the Remainder	x^3-a^3 divided by x-a	$x^{3} - a^{3}$ divided by $x - a$
23603	Evaluate the Integral	integral from 0 to pi/4 of (1-sin(theta)^2)/(cos(theta)^2) with respect to theta	$\int_{0}^{\frac{π}{4}} \frac{1 - \sin^{2} (θ)}{\cos^{2} (θ)} d θ$
23604	Solve for x	10x-3+x<30	$10 x - 3 + x < 30$
23605	Graph	x-y=2 x=-2	$x - y = 2$ $x = - 2$
23606	Find the Roots (Zeros)	f(x)=(3x^2+x-4)/(x-1)	$f (x) = \frac{3 x^{2} + x - 4}{x - 1}$
23607	Graph Using a Table of Values	f(x)=-2(2)^(x+5)-8	$f (x) = - 2 {(2)}^{x + 5} - 8$
23608	Solve for x	2x+x+(2x-3)+2x+(x-1)=76	$2 x + x + (2 x - 3) + 2 x + (x - 1) = 76$
23609	Solve for x	4/6(x+1/2+4)=1/6(x+2)	$\frac{4}{6} (x + \frac{1}{2} + 4) = \frac{1}{6} (x + 2)$
23610	Solve for d	144d^2-96d=-16	$144 d^{2} - 96 d = - 16$
23611	Solve the System of Equations	6x-2y+z=-2 2x+3y-3z=11 x+6y=31	$6 x - 2 y + z = - 2$ $2 x + 3 y - 3 z = 11$ $x + 6 y = 31$
23612	Solve the Inequality for c	4.3-1.5c<=10	$4.3 - 1.5 c \leq 10$
23613	Find the Degree	ab-4a+6	$a b - 4 a + 6$
23614	Solve for x	x/12=17/3-(2x)/9-5+(3x)/12	$\frac{x}{12} = \frac{17}{3} - \frac{2 x}{9} - 5 + \frac{3 x}{12}$
23615	Simplify	( square root of 72+6)/( square root of 2)	$\frac{\sqrt{72} + 6}{\sqrt{2}}$
23616	Simplify the Radical Expression	( square root of x+ square root of y)÷( square root of xy)	$(\sqrt{x} + \sqrt{y}) \div \sqrt{x y}$
23617	Solve for x	1/(5x)+(x+4)/x=6/5	$\frac{1}{5 x} + \frac{x + 4}{x} = \frac{6}{5}$
23618	Find the Quotient	x^3-a^3 divided by x-a	$x^{3} - a^{3}$ divided by $x - a$
23619	Evaluate	1/(( square root of 6)/3)	$\frac{1}{\frac{\sqrt{6}}{3}}$
23620	Graph	y=(x-2)(x+7)^3	$y = (x - 2) {(x + 7)}^{3}$
23621	Evaluate the Limit	limit as x approaches pi/(()/())*2 of 9sin(x)	$lim_{x \to \frac{π}{\frac{}{}} \cdot 2} 9 \sin (x)$
23622	Factor	3x^3-nx^2+12xy^2+3xz-nz-4ny^2	$3 x^{3} - n x^{2} + 12 x y^{2} + 3 x z - n z - 4 n y^{2}$
23623	Solve for x	sin(2x)-tan(x)=0	$\sin (2 x) - \tan (x) = 0$
23624	Evaluate	10*2^(120/12)	$10 \cdot 2^{\frac{120}{12}}$
23625	Solve for x	8 square root of 10x-7=9	$8 \sqrt{10 x} - 7 = 9$
23626	Find the Fourth Derivative	f(x)=sin(ax)	$f (x) = \sin (a x)$
23627	Simplify	( fourth root of 2)/( fourth root of 4x^2)	$\frac{\sqrt[4]{2}}{\sqrt[4]{4 x^{2}}}$
23628	Find the Exact Value	arcos (-1)	arcos $(- 1)$
23629	Solve the System of Equations	-x+2y=-3 and -8x-3y=-5	$- x + 2 y = - 3$ and $- 8 x - 3 y = - 5$
23630	Solve the System of Equations	What is the solution to the system of equations y=-3x^2+2 and y=3 ?	What is the solution to the system of equations $y = - 3 x^{2} + 2$ and $y = 3$ ?
23631	Find the Reference Angle	tan((3pi)/4)	$\tan (\frac{3 π}{4})$
23632	Evaluate	csc(240)	$\csc (240)$
23633	Graph	30+5y>=4x	$30 + 5 y \geq 4 x$
23634	Solve for n	log base 7 of n=2/3 log base 7 of 8	$\log_{7} (n) = \frac{2}{3} \log_{7} (8)$
23635	Evaluate the Integral	integral of (10x^3+ square root of x) with respect to x	$\int (10 x^{3} + \sqrt{x}) d x$
23636	Evaluate the Integral	Evaluate integral of 4x^-5 with respect to x	Evaluate $\int 4 x^{- 5} d x$
23637	Find the Domain and Range	f(x)=- cube root of 4x	$f (x) = - \sqrt[3]{4 x}$
23638	Simplify	(9x^5y^-2z^0)/(3x^3yz^-1)	$\frac{9 x^{5} y^{- 2} z^{0}}{3 x^{3} y z^{- 1}}$
23639	Evaluate	( fourth root of m+ fourth root of n)/( fourth root of m- fourth root of n)=7/3	$\frac{\sqrt[4]{m} + \sqrt[4]{n}}{\sqrt[4]{m} - \sqrt[4]{n}} = \frac{7}{3}$
23640	Simplify	square root of 4	square root of $4$
23641	Divide	(-4c^12d^5)/(20c^4d)	$\frac{- 4 c^{12} d^{5}}{20 c^{4} d}$
23642	Find dy/dx	y^3=x^3+1	$y^{3} = x^{3} + 1$
23643	Simplify	(2n^2p^(-2/5))^5	${(2 n^{2} p^{- \frac{2}{5}})}^{5}$
23644	Find the GCF	18m^2 and 25	$18 m^{2}$ and $25$
23645	Find Amplitude, Period, and Phase Shift	y=4sin((8x)/5-(5pi)/2)	$y = 4 \sin (\frac{8 x}{5} - \frac{5 π}{2})$
23646	Find the Geometric Mean	8 and 12	$8$ and $12$
23647	Solve for n	n+1>4	$n + 1 > 4$
23648	Find the Derivative - d/dx	3csc(2x)	$3 \csc (2 x)$
23649	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+11x^3-24x^2-15x+25 is divided by x+5	Use synthetic division to find the result when $3 x^{4} + 11 x^{3} - 24 x^{2} - 15 x + 25$ is divided by $x + 5$
23650	Solve the Inequality for n	n-3+4>7	$n - 3 + 4 > 7$
23651	Find the Center and Radius	9x^2-4y^2-90x-32y=-305	$9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305$
23652	Find the GCF	25 and 75	$25$ and $75$
23653	Simplify	(x^2-2x-15)/(10x+30)*3/(x^2-3x-10)	$\frac{x^{2} - 2 x - 15}{10 x + 30} \cdot \frac{3}{x^{2} - 3 x - 10}$
23654	Simplify	(12x^-5y^9)/(2x^-10y^m)	$\frac{12 x^{- 5} y^{9}}{2 x^{- 10} y^{m}}$
23655	Multiply	(x+5)(2-x)	$(x + 5) (2 - x)$
23656	Simplify	12(2+7+1)	$12 (2 + 7 + 1)$
23657	Evaluate	-i*i	$- i \cdot i$
23658	Solve for X	X^(2/3)=0	$X^{\frac{2}{3}} = 0$
23659	Simplify	-3/4+1/2	$- \frac{3}{4} + \frac{1}{2}$
23660	Find the Roots (Zeros)	y=2sin(4x)	$y = 2 \sin (4 x)$
23661	Solve the Rational Equation for x	-9+x/(x-7)=7/(x-7)	$- 9 + \frac{x}{x - 7} = \frac{7}{x - 7}$
23662	Find the Inverse	f(x)=x+ square root of x	$f (x) = x + \sqrt{x}$
23663	Rationalize the Denominator	b/( square root of 4b^5)	$\frac{b}{\sqrt{4 b^{5}}}$
23664	Solve by Addition/Elimination	5x-9y=6 -(5x+2y)=(17)	$5 x - 9 y = 6$ $- (5 x + 2 y) = (17)$
23665	Integrate Using u-Substitution	integral of 1/(x^2+1) with respect to x	$\int \frac{1}{x^{2} + 1} d x$
23666	Evaluate	5/9(25-32)	$\frac{5}{9} (25 - 32)$
23667	Find the Antiderivative	x*cos(x)	$x \cdot \cos (x)$
23668	Evaluate the Limit	limit as x approaches 2 of (x^2+3x-10)/( square root of 4x-4-x)	$lim_{x \to 2} \frac{x^{2} + 3 x - 10}{\sqrt{4 x - 4} - x}$
23669	Find the x and y Intercepts	f(x)=(x^2+x-2)/((x+2)(x^2-2x-15))	$f (x) = \frac{x^{2} + x - 2}{(x + 2) (x^{2} - 2 x - 15)}$
23670	Solve the Inequality for x	(x-2)(x+3)^2(x^2+4)>=0	$(x - 2) {(x + 3)}^{2} (x^{2} + 4) \geq 0$
23671	Graph	y>=3 2x+y<-1	$y \geq 3$ $2 x + y < - 1$
23672	Convert to Radical Form	(x^(4/3)x^(2/3))^(1/3)	${(x^{\frac{4}{3}} x^{\frac{2}{3}})}^{\frac{1}{3}}$
23673	Factor	x^4+x^3-4x^2-4x	$x^{4} + x^{3} - 4 x^{2} - 4 x$
23674	Simplify	24x2y	$2 \cdot 4 x \cdot 2 y$
23675	Evaluate	x(-1)	$x (- 1)$
23676	Simplify	square root of x+2-2/( square root of x+2)	$\sqrt{x + 2} - \frac{2}{\sqrt{x + 2}}$
23677	Solve by Substitution	7x^2+3y^2-24y=139 x-y=9	$7 x^{2} + 3 y^{2} - 24 y = 139$ $x - y = 9$
23678	Find the Equation with a Point and y-intercept	Write an equation of the line with a slope of 2 and y-intercept of 9	Write an equation of the line with a slope of $2$ and y-intercept of $9$
23679	Find the x and y Intercepts	(x+2)(x-3)	$(x + 2) (x - 3)$
23680	Solve the Inequality for x	x^3-4x^2+x+6<=0	$x^{3} - 4 x^{2} + x + 6 \leq 0$
23681	Evaluate	3x+17-5x=12-(6x+3)	$3 x + 17 - 5 x = 12 - (6 x + 3)$
23682	Evaluate	square root of (( square root of 11)/11)^2+(( square root of 11)/11)^2+((3 square root of 11)/11)^2	$\sqrt{{(\frac{\sqrt{11}}{11})}^{2} + {(\frac{\sqrt{11}}{11})}^{2} + {(\frac{3 \sqrt{11}}{11})}^{2}}$
23683	Solve for a	-7=(5+a)/4	$- 7 = \frac{5 + a}{4}$
23684	Evaluate the Integral	integral of (1-csc(x)cot(x)) with respect to x	$\int (1 - \csc (x) \cot (x)) d x$
23685	Simplify	( cube root of x^8y^4)/( cube root of x^2y)	$\frac{\sqrt[3]{x^{8} y^{4}}}{\sqrt[3]{x^{2} y}}$
23686	Solve the System of Equations	2x-6=4y 7y=-3x+9	$2 x - 6 = 4 y$ $7 y = - 3 x + 9$
23687	Graph	y>(-1/3)x+4	$y > (- \frac{1}{3}) x + 4$
23688	Solve for n	2.5(n-10.7)+5=18.75	$2.5 (n - 10.7) + 5 = 18.75$
23689	Find the Inverse	y=- square root of x	$y = - \sqrt{x}$
23690	Solve the Inequality for x	2(x-3)+6<=-10	$2 (x - 3) + 6 \leq - 10$
23691	Solve for r	r^4=4	$r^{4} = 4$
23692	Solve for x	0=9x^2-3x	$0 = 9 x^{2} - 3 x$
23693	Multiply	-6ab*2a^2b^2	$- 6 a b \cdot 2 a^{2} b^{2}$
23694	Evaluate	2*1+3^2-6÷2	$2 \cdot 1 + 3^{2} - 6 \div 2$
23695	Find f(h(x))	f(x)=11-x/4 and h(x)=-4(x-11)	$f (x) = 11 - \frac{x}{4}$ and $h (x) = - 4 (x - 11)$
23696	Evaluate the Integral	integral from 0 to 4 of \| square root of x+2-x\| with respect to x	$\int_{0}^{4} \| \sqrt{x + 2} - x \| d x$
23697	Simplify	(3+ square root of 8)/(3- square root of 8)	$\frac{3 + \sqrt{8}}{3 - \sqrt{8}}$
23698	Simplify	( fifth root of square root of 40- square root of 8)( fifth root of square root of 40+ square root of 8)	$(\sqrt[5]{\sqrt{40} - \sqrt{8}}) (\sqrt[5]{\sqrt{40} + \sqrt{8}})$
23699	Evaluate	-3/2+24/20-1.75	$- \frac{3}{2} + \frac{24}{20} - 1.75$
23700	Evaluate	(2x^-3)/(x^2)	$\frac{2 x^{- 3}}{x^{2}}$