Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25501	Find the Factors Using the Factor Theorem	x^3+x^2-5x+3 , x-1	$x^{3} + x^{2} - 5 x + 3$ , $x - 1$
25502	Divide Using Synthetic Division	(2x^2-17x-38)÷(2x+3)	$(2 x^{2} - 17 x - 38) \div (2 x + 3)$
25503	Solve for n	9 1/3=5/3n	$9 \frac{1}{3} = \frac{5}{3} n$
25504	Evaluate the Limit	limit as x approaches infinity of 1+2x^2-x^3	$lim_{x \to \infty} 1 + 2 x^{2} - x^{3}$
25505	Expand Using Pascal's Triangle	(2x^3-3y)^3	${(2 x^{3} - 3 y)}^{3}$
25506	Convert to a Percentage	29 is what percent of 20 ?	$29$ is what percent of $20$ ?
25507	Solve for x	Solve square root of x+75 = square root of x-5	Solve $\sqrt{x + 75} = \sqrt{x} - 5$
25508	Solve for x	(-3cos(x)-6sin(x))^2-27sin(x)^2=-9	${(- 3 \cos (x) - 6 \sin (x))}^{2} - 27 \sin^{2} (x) = - 9$
25509	Simplify	((a^2b^8)/(a^(1/3)))^(3/4)	${(\frac{a^{2} b^{8}}{a^{\frac{1}{3}}})}^{\frac{3}{4}}$
25510	Simplify	fourth root of 9x^2+7 square root of 12x	$\sqrt[4]{9 x^{2}} + 7 \sqrt{12 x}$
25511	Write in Standard Form	(x-1)(x+1)(x-3)	$(x - 1) (x + 1) (x - 3)$
25512	Solve for x	(x-1)/(x-2)+(x+4)/(2x+1)=1/(2x^2-3x-2)	$\frac{x - 1}{x - 2} + \frac{x + 4}{2 x + 1} = \frac{1}{2 x^{2} - 3 x - 2}$
25513	Divide	((x^2-4)/(x^2-11x+18))÷((6x)/(x-9))	$\frac{x^{2} - 4}{x^{2} - 11 x + 18} \div \frac{6 x}{x - 9}$
25514	Find All Complex Solutions	8+2(x-6)=-2+2x-2	$8 + 2 (x - 6) = - 2 + 2 x - 2$
25515	Find the Asymptotes	(3(3x+1)(x-7))/(x(3x+1))	$\frac{3 (3 x + 1) (x - 7)}{x (3 x + 1)}$
25516	Solve for x	(2x-7)/(4x)+7/4=2	$\frac{2 x - 7}{4 x} + \frac{7}{4} = 2$
25517	Find the Degree	-10y^3 square root of 2-y^4	$- 10 y^{3} \sqrt{2} - y^{4}$
25518	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-2) and has a slope of 2 ?	What is the equation of the line that passes through the point $(- 2, - 2)$ and has a slope of $2$ ?
25519	Factor by Grouping	4x^3-x^2y+8xy-2y^2	$4 x^{3} - x^{2} y + 8 x y - 2 y^{2}$
25520	Simplify the Radical Expression	square root of 5+3 square root of 5	$\sqrt{5} + 3 \sqrt{5}$
25521	Find the Concavity	-2/5x^6+5x^4	$- \frac{2}{5} x^{6} + 5 x^{4}$
25522	Evaluate	4*(3+1)^2	$4 \cdot {(3 + 1)}^{2}$
25523	Divide	(x^2+3x-5)/x	$\frac{x^{2} + 3 x - 5}{x}$
25524	Find the x and y Intercepts	2^(-x)	$2^{- x}$
25525	Evaluate	(x^4)^(1/2)	${(x^{4})}^{\frac{1}{2}}$
25526	Evaluate	(10q^5w^7)/(2w^3)*(4(q^6)^2)/(w^-5)	$\frac{10 q^{5} w^{7}}{2 w^{3}} \cdot \frac{4 {(q^{6})}^{2}}{w^{- 5}}$
25527	Write in Slope-Intercept Form	(-3,-28) , (0,-4) , (4,168) , (-5,-174)	$(- 3, - 28)$ , $(0, - 4)$ , $(4, 168)$ , $(- 5, - 174)$
25528	Simplify the Matrix	-9/(x+3)+(x^2)/(x+3) , x!=-3	$- \frac{9}{x + 3} + \frac{x^{2}}{x + 3}$ , $x \neq - 3$
25529	Solve for x	10^(4x-5)=1	$10^{4 x - 5} = 1$
25530	Expand the Logarithmic Expression	log of ( cube root of yx^3)/z	$\log (\frac{\sqrt[3]{y x^{3}}}{z})$
25531	Combine Like Terms	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
25532	Solve for b	2x(3x+5)+3(3x+5)=ax^2+bx+c	$2 x (3 x + 5) + 3 (3 x + 5) = a x^{2} + b x + c$
25533	Evaluate	-8+ square root of 5a-5=-3	$- 8 + \sqrt{5 a - 5} = - 3$
25534	Find the Local Maxima and Minima	f(x) = square root of x^3+3x^2	$f (x) = \sqrt{x^{3} + 3 x^{2}}$
25535	Simplify	1/(cos(x))*(sin(x))/(cos(x))	$\frac{1}{\cos (x)} \cdot \frac{\sin (x)}{\cos (x)}$
25536	Simplify	((4a^3b^2c^0)/(3ab^-1))^-4	${(\frac{4 a^{3} b^{2} c^{0}}{3 a b^{- 1}})}^{- 4}$
25537	Simplify	((3x)/(zy^2))^6	${(\frac{3 x}{z y^{2}})}^{6}$
25538	Solve Using the Quadratic Formula	9(3+4x)^2=25	$9 {(3 + 4 x)}^{2} = 25$
25539	Simplify	(3+2i)/((1+i)^2)	$\frac{3 + 2 i}{{(1 + i)}^{2}}$
25540	Find the Reference Angle	cot((19pi)/6)	$\cot (\frac{19 π}{6})$
25541	Evaluate Using Scientific Notation	(7.5x10^-5)+(1.3x10^-5)	$(7.5 x \cdot 10^{- 5}) + (1.3 x \cdot 10^{- 5})$
25542	Factor	p(x)=x^4+x^3+x^2+x	$p (x) = x^{4} + x^{3} + x^{2} + x$
25543	Simplify	6x-2(2(x+1)-7)	$6 x - 2 (2 (x + 1) - 7)$
25544	Simplify	2 square root of 20/5	$2 \sqrt{\frac{20}{5}}$
25545	Convert to a Decimal	cos(60)deg	$\cos (60)$ degrees
25546	Graph	2x+y=-5 -3x+y=0	$2 x + y = - 5$ $- 3 x + y = 0$
25547	Evaluate	12tan(pi/4)^2+24sec(pi/4)^2	$12 \tan^{2} (\frac{π}{4}) + 24 \sec^{2} (\frac{π}{4})$
25548	Evaluate the Integral	integral of (x^5-4x^-4-6x^3+2x) with respect to x	$\int (x^{5} - 4 x^{- 4} - 6 x^{3} + 2 x) d x$
25549	Solve for u	-4/(2u+12)+3=-2/(u+6)	$- \frac{4}{2 u + 12} + 3 = - \frac{2}{u + 6}$
25550	Solve for x	3/(2x+3)-1/(2x-3)=4/(4x^2-9)	$\frac{3}{2 x + 3} - \frac{1}{2 x - 3} = \frac{4}{4 x^{2} - 9}$
25551	Evaluate the Integral	integral of (x^3 natural log of (2+x^4)^2)/(2+x^4) with respect to x	$\int \frac{x^{3} \ln ({(2 + x^{4})}^{2})}{2 + x^{4}} d x$
25552	Simplify	(3x^2+2x)+(-x+9)	$(3 x^{2} + 2 x) + (- x + 9)$
25553	Multiply	(m-3+4n)*(-8)	$(m - 3 + 4 n) \cdot (- 8)$
25554	Find the Derivative - d/dx	2(x^2-1)	$2 (x^{2} - 1)$
25555	Simplify the Radical Expression	( square root of 90x^18)/( square root of 2x)	$\frac{\sqrt{90 x^{18}}}{\sqrt{2 x}}$
25556	Find the Reference Angle	sin((13pi)/6)	$\sin (\frac{13 π}{6})$
25557	Simplify	((x^(1/2)*x^(5/12))^4)÷(x^(2/3))	${(x^{\frac{1}{2}} \cdot x^{\frac{5}{12}})}^{4} \div x^{\frac{2}{3}}$
25558	Solve the Rational Equation for x	-x/(x+6)-1=6/(x+6)	$- \frac{x}{x + 6} - 1 = \frac{6}{x + 6}$
25559	Graph	f(x)=(x-4)(x-1)^2(x+2)(x+4)	$f (x) = (x - 4) {(x - 1)}^{2} (x + 2) (x + 4)$
25560	Multiply	( square root of 13+6)^2	${(\sqrt{13} + 6)}^{2}$
25561	Factor	18m^3+39m^2n-15mn^2	$18 m^{3} + 39 m^{2} n - 15 m n^{2}$
25562	Solve for x	sec(x)-1=tan(x)	$\sec (x) - 1 = \tan (x)$
25563	Evaluate the Integral	integral from -4 to 4 of [(32-x^2)-(x^2)] with respect to x	$\int_{- 4}^{4} [(32 - x^{2}) - (x^{2})] d x$
25564	Graph	1/3x+2<y x>=-3	$\frac{1}{3} x + 2 < y$ $x \geq - 3$
25565	Solve for x	f(x+3)=f(x+1)+4x+12	$f (x + 3) = f (x + 1) + 4 x + 12$
25566	Solve for y	1/4y-3x^2=0	$\frac{1}{4} y - 3 x^{2} = 0$
25567	Simplify	((12x)/(14x^5))÷((3x^2)/(7x^3))	$\frac{12 x}{14 x^{5}} \div \frac{3 x^{2}}{7 x^{3}}$
25568	Find All Complex Solutions	2^(3x)=10	$2^{3 x} = 10$
25569	Multiply	fourth root of 11*4 square root of 10	$\sqrt[4]{11} \cdot 4 \sqrt{10}$
25570	Solve for x	(4-x)/8=(7x-1)/3	$\frac{4 - x}{8} = \frac{7 x - 1}{3}$
25571	Graph	y>=(-1/3)x+4	$y \geq (- \frac{1}{3}) x + 4$
25572	Solve for x	1/2(4x+2)=2(x+1/2)	$\frac{1}{2} (4 x + 2) = 2 (x + \frac{1}{2})$
25573	Solve for x	x^2-3/4x-27/64=0	$x^{2} - \frac{3}{4} x - \frac{27}{64} = 0$
25574	Solve the Inequality for x	1/3(x-6)<x+8	$\frac{1}{3} (x - 6) < x + 8$
25575	Solve the System of Equations	y=-x^2-14x-60 6=x-y	$y = - x^{2} - 14 x - 60$ $6 = x - y$
25576	Solve for a	ax+b=0	$a x + b = 0$
25577	Evaluate Using the Given Value	c^2d+3cd^2 ; if c=0.3 and d=0.1	$c^{2} d + 3 c d^{2}$ ; if $c = 0.3$ and $d = 0.1$
25578	Evaluate	1/9(3/5)-1/57/3	$\frac{1}{9} (\frac{3}{5}) - \frac{1}{5} \cdot \frac{7}{3}$
25579	Find the Integral	(3x+4)^2dx	${(3 x + 4)}^{2} d x$
25580	Graph	y>=2x-4 2x-y>=-4	$y \geq 2 x - 4$ $2 x - y \geq - 4$
25581	Simplify	(7(x+7))/7	$\frac{7 (x + 7)}{7}$
25582	Write in Standard Form	4(3-5x)=6-4x	$4 (3 - 5 x) = 6 - 4 x$
25583	Graph	f(x)=(3x^2)/(x(x-3))	$f (x) = \frac{3 x^{2}}{x (x - 3)}$
25584	Evaluate	((m-4)/(m+4))÷(m+2)	$\frac{m - 4}{m + 4} \div (m + 2)$
25585	Find the Inflection Points	f(x)=x^2+8/x	$f (x) = x^{2} + \frac{8}{x}$
25586	Write in y=mx+b Form	(3,5) , m=5	$(3, 5)$ , $m = 5$
25587	Solve the Function Operation	If f(x)=1/x and g(x)=3x+2 find (fog)(2)	If $f (x) = \frac{1}{x}$ and $g (x) = 3 x + 2$ find $((f \circ g)) (2)$
25588	Simplify	-3b(b-2)+7(b-2)^2	$- 3 b (b - 2) + 7 {(b - 2)}^{2}$
25589	Graph	p(x)=x(2x-5)(x+2)^2	$p (x) = x (2 x - 5) {(x + 2)}^{2}$
25590	Find Where Increasing/Decreasing	f(x) = log base 5 of x-1-1	$f (x) = \log_{5} (x - 1) - 1$
25591	Simplify the Radical Expression	square root of 18/30	$\sqrt{\frac{18}{30}}$
25592	Simplify	((2x^-3y^0)/(z^4))((3x^-2z^7)/(y^-2))	$(\frac{2 x^{- 3} y^{0}}{z^{4}}) (\frac{3 x^{- 2} z^{7}}{y^{- 2}})$
25593	Simplify	cube root of 4/2	$\sqrt[3]{\frac{4}{2}}$
25594	Graph	y>=-3x-4 and y<=5x+2	$y \geq - 3 x - 4$ and $y \leq 5 x + 2$
25595	Simplify	(sec(x)^2)/(cot(x)^2+1)	$\frac{\sec^{2} (x)}{\cot^{2} (x) + 1}$
25596	Find dy/dx	2x^3y-y-x^4=-1	$2 x^{3} y - y - x^{4} = - 1$
25597	Evaluate	(11-8^-37^-2)(-8^37^4)	$(11 - 8^{- 3} \cdot 7^{- 2}) (- 8^{3} \cdot 7^{4})$
25598	Graph	f(x)=(sin(x))/(\|x\|)	$f (x) = \frac{\sin (x)}{\| x \|}$
25599	Solve for L	L=(2^(n+1)*4^(-2n+1)+8^(-n+2))/(16(2^n)^-3)	$L = \frac{2^{n + 1} \cdot 4^{- 2 n + 1} + 8^{- n + 2}}{16 {(2^{n})}^{- 3}}$
25600	Simplify	(2x^4)(3x^6)(-2x)x^3	$(2 x^{4}) (3 x^{6}) (- 2 x) x^{3}$