Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
20901	Find the GCF	a^7b^2-ab^2	$a^{7} b^{2} - a b^{2}$
20902	Find the x and y Intercepts	f(x)=(-x^3+2x^2+4)/(x-8)	$f (x) = \frac{- x^{3} + 2 x^{2} + 4}{x - 8}$
20903	Factor	4x(x-3y)-2(x-3y)	$4 x (x - 3 y) - 2 (x - 3 y)$
20904	Simplify the Radical Expression	9 square root of 8y	$9 \sqrt{8 y}$
20905	Graph	x>0 or x<-4	$x > 0$ or $x < - 4$
20906	Find the Integral	sec(x)^2tan(x)^2	$\sec^{2} (x) \tan^{2} (x)$
20907	Add	(7x)/6+3/8	$\frac{7 x}{6} + \frac{3}{8}$
20908	Simplify	(9x^-5y^-2)/y	$\frac{9 x^{- 5} y^{- 2}}{y}$
20909	Evaluate	(2pi)÷(2/3)	$2 π \div \frac{2}{3}$
20910	Simplify	(x^2-3x)/3*(6x^2)/(x-3)	$\frac{x^{2} - 3 x}{3} \cdot \frac{6 x^{2}}{x - 3}$
20911	Convert to Interval Notation	x<7 or x<8	$x < 7$ or $x < 8$
20912	Simplify	( square root of 2+3)/(3 square root of 2+3)	$\frac{\sqrt{2} + 3}{3 \sqrt{2} + 3}$
20913	Evaluate the Integral	integral of 7(sin(2x))/(sin(x)) with respect to x	$\int 7 \frac{\sin (2 x)}{\sin (x)} d x$
20914	Simplify	x/3-x/5	$\frac{x}{3} - \frac{x}{5}$
20915	Write in Standard Form	(x-3)^2(x+3)	${(x - 3)}^{2} (x + 3)$
20916	Simplify the Radical Expression	sixth root of 64(2y+1)^18	$\sqrt[6]{64 {(2 y + 1)}^{18}}$
20917	Solve the System of Equations	12y-21x=-5 y=7/4x+10	$12 y - 21 x = - 5$ $y = \frac{7}{4} x + 10$
20918	Evaluate the Integral	integral from 0 to pi/6 of (sin(2x))/(cos(2x)^2) with respect to x	$\int_{0}^{\frac{π}{6}} \frac{(\sin (2 x))}{\cos^{2} (2 x)} d x$
20919	Solve for r	2 square root of r = square root of 3r+9	$2 \sqrt{r} = \sqrt{3 r + 9}$
20920	Find the Derivative - d/dx	square root of (x+2)^2	$\sqrt{{(x + 2)}^{2}}$
20921	Solve the Inequality for y	-4>y+2>-10	$- 4 > y + 2 > - 10$
20922	Solve by Completing the Square	y=x^2+6x+11	$y = x^{2} + 6 x + 11$
20923	Simplify	6/(3- square root of 5)	$\frac{6}{3 - \sqrt{5}}$
20924	Solve the Inequality for x	x^2+15x<=6x-18	$x^{2} + 15 x \leq 6 x - 18$
20925	Simplify the Radical Expression	( square root of 5)/( square root of 8)	$\frac{\sqrt{5}}{\sqrt{8}}$
20926	Simplify	x^2xx^-5	$x^{2} \cdot x \cdot x^{- 5}$
20927	Solve for x	x^8=256	$x^{8} = 256$
20928	Solve for n	-6(-n+19)=-(-12+12n)	$- 6 (- n + 19) = - (- 12 + 12 n)$
20929	Find dy/dx	x^2y-3x=y^3-3	$x^{2} y - 3 x = y^{3} - 3$
20930	Evaluate	i^20i^32i^19	$i^{20} \cdot i^{32} \cdot i^{19}$
20931	Solve for x	-13x+x=8x-20x	$- 13 x + x = 8 x - 20 x$
20932	Find Trig Functions Using Identities	sec(theta)=2 , sin(theta)<0	$\sec (θ) = 2$ , $\sin (θ) < 0$
20933	Solve for x	5^(x+1)-3/25=2.5^x	$5^{x + 1} - \frac{3}{25} = {2.5}^{x}$
20934	Determine if Linear	f(x)=2(x-3)	$f (x) = 2 (x - 3)$
20935	Solve by Substitution	2x-y=23 and x-9=-1	$2 x - y = 23$ and $x - 9 = - 1$
20936	Rationalize the Denominator	-2/(6- square root of 6)	$\frac{- 2}{6 - \sqrt{6}}$
20937	Solve for x	3x^2+174=48x	$3 x^{2} + 174 = 48 x$
20938	Simplify	cube root of 1/2x	$\sqrt[3]{\frac{1}{2} x}$
20939	Evaluate	limit as x approaches 0 of 2/((sin(x))/x)+(1-cos(x))/x+(tan(x))/x	$lim_{x \to 0} \frac{2}{\frac{\sin (x)}{x}} + \frac{1 - \cos (x)}{x} + \frac{\tan (x)}{x}$
20940	Simplify	(p^-9q^-4)/(r^2s^-3)	$\frac{p^{- 9} q^{- 4}}{r^{2} s^{- 3}}$
20941	Evaluate the Limit	limit as x approaches infinity of (5x^2+2)/(4x^2+7)	$lim_{x \to \infty} \frac{5 x^{2} + 2}{4 x^{2} + 7}$
20942	Solve for y	4y+-9=-45	$4 y + - 9 = - 45$
20943	Evaluate	Find the value of cube root of 27	Find the value of $\sqrt[3]{27}$
20944	Simplify	(2p-3)/(p^2-5p+6)-5/(p^2-9)	$\frac{2 p - 3}{p^{2} - 5 p + 6} - \frac{5}{p^{2} - 9}$
20945	Find the Inverse	f(x)=7((x^(1/3))/6+5)	$f (x) = 7 (\frac{x^{\frac{1}{3}}}{6} + 5)$
20946	Find the Exact Value	(4^3)÷(2^3)	$4^{3} \div 2^{3}$
20947	Solve Over the Interval	2sin(theta)^2-1=0 , 0<=theta<2pi	$2 \sin^{2} (θ) - 1 = 0$ , $0 \leq θ < 2 π$
20948	Simplify	b/6-(3a-2b)/6	$\frac{b}{6} - \frac{3 a - 2 b}{6}$
20949	Write in Standard Form	x^2(2x+9)	$x^{2} (2 x + 9)$
20950	Write in Standard Form	(8x+5)+(-x^2-8)	$(8 x + 5) + (- x^{2} - 8)$
20951	Solve the System of Equations	y=-3x^2-19x+9 x+y=9	$y = - 3 x^{2} - 19 x + 9$ $x + y = 9$
20952	Write in Slope-Intercept Form	2-1/2x=y	$2 - \frac{1}{2} x = y$
20953	Simplify	x/(x+1)+1/(x^2-9)	$\frac{x}{x + 1} + \frac{1}{x^{2} - 9}$
20954	Simplify	v(uv^2)(u^3v)	$v (u v^{2}) (u^{3} v)$
20955	Find the Asymptotes	f(x)=(x^2-x-2)/((x-2)^2)	$f (x) = \frac{x^{2} - x - 2}{{(x - 2)}^{2}}$
20956	Simplify	(x^2-2x-15)/(x^2(x+3))*(x(x+2))/(x-5)	$\frac{x^{2} - 2 x - 15}{x^{2} (x + 3)} \cdot \frac{x (x + 2)}{x - 5}$
20957	Simplify	(3y)/5-2y	$\frac{3 y}{5} - 2 y$
20958	Find the Direction Angle of the Vector	-4i-8j	$- 4 i - 8 j$
20959	Solve for z	limit as x approaches 4 of (x^2+7x+z)/(x^2-6x+8)=15/2	$lim_{x \to 4} \frac{x^{2} + 7 x + z}{x^{2} - 6 x + 8} = \frac{15}{2}$
20960	Solve for x	- square root of x-11=3- square root of x	$- \sqrt{x - 11} = 3 - \sqrt{x}$
20961	Write the Fraction in Simplest Form	5/6-1/3	$\frac{5}{6} - \frac{1}{3}$
20962	Simplify	(5a^-4a^6b^-5)/(15a^-2b^6)	$\frac{5 a^{- 4} a^{6} b^{- 5}}{15 a^{- 2} b^{6}}$
20963	Write in Slope-Intercept Form	(3x)/4+(5y)/2=3/2	$\frac{3 x}{4} + \frac{5 y}{2} = \frac{3}{2}$
20964	Simplify	(7/(7^3))^-3	${(\frac{7}{7^{3}})}^{- 3}$
20965	Write the Fraction in Simplest Form	(-3(v^3)^-5)/(6s^-7)	$\frac{- 3 {(v^{3})}^{- 5}}{6 s^{- 7}}$
20966	Graph	2x-y>=2 x-2y>=2	$2 x - y \geq 2$ $x - 2 y \geq 2$
20967	Convert to Scientific Notation	((1.510^-7)(3.610^15))÷(1.210^-3)	$(1.5 \cdot 10^{- 7}) \cdot (3.6 \cdot 10^{15}) \div (1.2 \cdot 10^{- 3})$
20968	Simplify	(-x^-3y^0z^-4)^-1	${(- x^{- 3} y^{0} z^{- 4})}^{- 1}$
20969	Solve for z	5(4z+6)-2(z-4)=7z(z+4)-z(7z-2)-48	$5 (4 z + 6) - 2 (z - 4) = 7 z (z + 4) - z (7 z - 2) - 48$
20970	Solve for x	( cube root of x+10)/4=-1	$\frac{\sqrt[3]{x + 10}}{4} = - 1$
20971	Solve for x	1-5/(x-2)=(x+2)/(x^2-4)	$1 - \frac{5}{x - 2} = \frac{x + 2}{x^{2} - 4}$
20972	Solve the Inequality for n	-3+\|n-2\|>5	$- 3 + \| n - 2 \| > 5$
20973	Graph	y<=x-1 x+2y>=4	$y \leq x - 1$ $x + 2 y \geq 4$
20974	Evaluate Using the Given Value	z-(y÷3-1) ; use y=3 ; and z=7	$z - (y \div 3 - 1)$ ; use $y = 3$ ; and $z = 7$
20975	Find the Product	2 square root of 8x^3(3 square root of 10x^4-x square root of 5x^2)	$2 \sqrt{8 x^{3}} (3 \sqrt{10 x^{4}} - x \sqrt{5 x^{2}})$
20976	Solve for y	2(5+y)=18	$2 (5 + y) = 18$
20977	Find the GCF	12 and 48	$12$ and $48$
20978	Solve for y	4/(y+4)=8/(2y+8)-3	$\frac{4}{y + 4} = \frac{8}{2 y + 8} - 3$
20979	Find the Product	(4-b)(5b^2+5b-4)	$(4 - b) (5 b^{2} + 5 b - 4)$
20980	Evaluate the Integral	integral of x(x^3+1) with respect to x	$\int x (x^{3} + 1) d x$
20981	Solve the System of Equations	x-y=-4 y=x+4	$x - y = - 4$ $y = x + 4$
20982	Solve for y	(y^2-3)^2+4(y^2-3)=-4	${(y^{2} - 3)}^{2} + 4 (y^{2} - 3) = - 4$
20983	Solve for A in Degrees	12sin(A)+4=4sin(A)+4	$12 \sin (A) + 4 = 4 \sin (A) + 4$
20984	Solve for x	(1^(2x-10))/6<=(1^(3x+13))/36	$\frac{1^{2 x - 10}}{6} \leq \frac{1^{3 x + 13}}{36}$
20985	Expand Using the Binomial Theorem	( square root of x-1/y)^25	${(\sqrt{x} - \frac{1}{y})}^{25}$
20986	Solve for x	cube root of x+1 = cube root of x^2-5	$\sqrt[3]{x + 1} = \sqrt[3]{x^{2} - 5}$
20987	Simplify	(y^2+8y+15)/(y-6)*(y^2-9y+18)/(y^2-9)	$\frac{y^{2} + 8 y + 15}{y - 6} \cdot \frac{y^{2} - 9 y + 18}{y^{2} - 9}$
20988	Simplify	(y^3(y^3)^4)/((y^4)^6)	$\frac{y^{3} {(y^{3})}^{4}}{{(y^{4})}^{6}}$
20989	Evaluate the Integral	integral of (t^2-pi square root of t+ square root of tcsc(t))/( square root of t) with respect to t	$\int \frac{t^{2} - π \sqrt{t} + \sqrt{t} \csc (t)}{\sqrt{t}} d t$
20990	Find the Holes in the Graph	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
20991	Solve for X	square root of X(2X+5)=5	$\sqrt{X (2 X + 5)} = 5$
20992	Solve for f	f(2)=-2 and f(1)=1	$f (2) = - 2$ and $f (1) = 1$
20993	Solve for x	16/8=(21-x)/x	$\frac{16}{8} = \frac{21 - x}{x}$
20994	Simplify	(4y^2+3y-8)-(y^3-2y^2+6)	$(4 y^{2} + 3 y - 8) - (y^{3} - 2 y^{2} + 6)$
20995	Solve by Factoring	2x^2-9x-65=x^2-x	$2 x^{2} - 9 x - 65 = x^{2} - x$
20996	Simplify	(54(x-3)^3)/(63(3-x)^2)	$\frac{54 {(x - 3)}^{3}}{63 {(3 - x)}^{2}}$
20997	Find the Asymptotes	f(x)=-1/4e^(x-3)	$f (x) = - \frac{1}{4} e^{x - 3}$
20998	Solve for x	5(x-3)=y(4-3x)	$5 (x - 3) = y (4 - 3 x)$
20999	Simplify	(2+4i^5)+(1-9i^6)-(3+i^7)	$(2 + 4 i^{5}) + (1 - 9 i^{6}) - (3 + i^{7})$
21000	Evaluate	(6x^2)(-3x^5)	$(6 x^{2}) (- 3 x^{5})$