Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214001	Simplify	(x^2+5x+6)/(x^2-4)*4/(x+3)	$\frac{x^{2} + 5 x + 6}{x^{2} - 4} \cdot \frac{4}{x + 3}$
214002	Simplify the Radical Expression	fourth root of 3( fourth root of 2+ fourth root of 4)	$\sqrt[4]{3} (\sqrt[4]{2} + \sqrt[4]{4})$
214003	Evaluate	(2x^3y)^6	${(2 x^{3} y)}^{6}$
214004	Evaluate	5cos(4/2)^2+ natural log of 4+1-3	$5 \cos^{2} (\frac{4}{2}) + \ln (4 + 1) - 3$
214005	Solve for x	-1/3(x+1 1/2)=-3 1/4	$- \frac{1}{3} (x + 1 \frac{1}{2}) = - 3 \frac{1}{4}$
214006	Solve for m	-m-7/8=-10	$- m - \frac{7}{8} = - 10$
214007	Solve for m	10m^3-6=-86	$10 m^{3} - 6 = - 86$
214008	Simplify	z^3z^2w^2	$z^{3} z^{2} w^{2}$
214009	Convert to Interval Notation	4k-(k-2)>=7k-26	$4 k - (k - 2) \geq 7 k - 26$
214010	Simplify	2 cube root of 125a^4-5 cube root of 8a	$2 \sqrt[3]{125 a^{4}} - 5 \sqrt[3]{8 a}$
214011	Evaluate the Function	y=20*0.5^x for x=3	$y = 20 \cdot {0.5}^{x}$ for $x = 3$
214012	Solve for x	square root of 5-2x=3i	$\sqrt{5 - 2 x} = 3 i$
214013	Simplify	(3 square root of 5i)/( square root of 3i)	$\frac{3 \sqrt{5} i}{\sqrt{3} i}$
214014	Solve for x	e^x-3x^2=0	$e^{x} - 3 x^{2} = 0$
214015	Simplify	2(2 square root of 4)^-2	$2 {(2 \sqrt{4})}^{- 2}$
214016	Solve for w	6w+9=18w-3w+81	$6 w + 9 = 18 w - 3 w + 81$
214017	Simplify	(xy)^0-2^-1	${(x y)}^{0} - 2^{- 1}$
214018	Solve the Rational Equation for k	square root of 4k-11+15=2	$\sqrt{4 k - 11} + 15 = 2$
214019	Divide	(x^3-x^2-5x-3)/(x^2+2x+1)	$\frac{(x^{3} - x^{2} - 5 x - 3)}{(x^{2} + 2 x + 1)}$
214020	Convert to Radical Form	-(729/64)^(5/6)	$- {(\frac{729}{64})}^{\frac{5}{6}}$
214021	Factor by Grouping	4y^(4a)+12y^(2a)+10y^(2a)+30	$4 y^{4 a} + 12 y^{2 a} + 10 y^{2 a} + 30$
214022	Solve by Substitution	x=8-2y y-x=4	$x = 8 - 2 y$ $y - x = 4$
214023	Divide	(1/9)÷(-2/3)	$\frac{1}{9} \div (- \frac{2}{3})$
214024	Evaluate	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3} + 15 = 10$
214025	Find the Perfect Square Trinomial	(x-9)(3x-9)	$(x - 9) (3 x - 9)$
214026	Write in Standard Form	y=1x+2	$y = 1 x + 2$
214027	Multiply	-x^2(x+5)	$- x^{2} (x + 5)$
214028	Factor	81x^4=3x	$81 x^{4} = 3 x$
214029	Solve by Graphing	y=6x-11 -2x-3y=-7	$y = 6 x - 11$ $- 2 x - 3 y = - 7$
214030	Subtract	-3x+x^3-2x^2 and 4x^3-2x^2-4x	$- 3 x + x^{3} - 2 x^{2}$ and $4 x^{3} - 2 x^{2} - 4 x$
214031	Factor	F(x)=x^2-25	$F (x) = x^{2} - 25$
214032	Simplify	(x-y)^3+(x-y)^3	${(x - y)}^{3} + {(x - y)}^{3}$
214033	Solve for x	4x+5(3+x)=87	$4 x + 5 (3 + x) = 87$
214034	Solve for x	square root of 3x-12+7<=16	$\sqrt{3 x - 12} + 7 \leq 16$
214035	Graph	f(t)=4.1 if 0<=t<5; -0.03t+4.25 if 5<=t<15; -0.075t+4.925 if 15<=t<=35	$f (t) = {\begin{cases} 4.1 & 0 \leq t < 5 \\ - 0.03 t + 4.25 & 5 \leq t < 15 \\ - 0.075 t + 4.925 & 15 \leq t \leq 35 \end{cases}$
214036	Find the Slope and y-intercept	f(x)=x/2+2	$f (x) = \frac{x}{2} + 2$
214037	Find the Exact Value	sec(42 degrees 12')	$\sec (42 ° 12')$
214038	Find the Perfect Square Trinomial	(3x+8)(x+6)	$(3 x + 8) (x + 6)$
214039	Solve for x	log base 8 of 16+2 log base 8 of x=2	$\log_{8} (16) + 2 \log_{8} (x) = 2$
214040	Simplify the Radical Expression	(3x^(-1/3)y^(3/4))^2	${(3 x^{- \frac{1}{3}} y^{\frac{3}{4}})}^{2}$
214041	Find the Degree, Leading Term, and Leading Coefficient	P(x)=-3x^4+6x^3+x-5	$P (x) = - 3 x^{4} + 6 x^{3} + x - 5$
214042	Solve for x	x^2+6x=x+14	$x^{2} + 6 x = x + 14$
214043	Simplify the Radical Expression	square root of 3/y	$\sqrt{\frac{3}{y}}$
214044	Solve for x	log base 5 of x = log base 5 of 8- log base 5 of 6-x	$\log_{5} (x) = \log_{5} (8) - \log_{5} (6 - x)$
214045	Find the Exact Value	csc(arcsec(-2))	$\csc (arcsec (- 2))$
214046	Multiply	4 square root of 15( square root of 6+ square root of 5)	$4 \sqrt{15} (\sqrt{6} + \sqrt{5})$
214047	Solve the Inequality for x	5(5-4x)+7x<4(7+4x)	$5 (5 - 4 x) + 7 x < 4 (7 + 4 x)$
214048	Evaluate	(8 square root of 3)/3*2	$\frac{8 \sqrt{3}}{3} \cdot 2$
214049	Evaluate	3x^2-4=0	$3 x^{2} - 4 = 0$
214050	Simplify	(((x-y)^2)/(x+y))÷((3x+3y)/(x^2-y^2))	$\frac{{(x - y)}^{2}}{x + y} \div \frac{3 x + 3 y}{x^{2} - y^{2}}$
214051	Simplify	(x^2+2x+1)/((x^2-3x-18)/((x^2-1)/(x^2-7x+6)))	$\frac{x^{2} + 2 x + 1}{\frac{x^{2} - 3 x - 18}{\frac{x^{2} - 1}{x^{2} - 7 x + 6}}}$
214052	Solve for x	(x+3)+0+(5x)=15	$(x + 3) + 0 + (5 x) = 15$
214053	Factor	10x^2+15x-9=2x^2+x-14	$10 x^{2} + 15 x - 9 = 2 x^{2} + x - 14$
214054	Simplify	((x+1)^3)/((x+1)^5)	$\frac{{(x + 1)}^{3}}{{(x + 1)}^{5}}$
214055	Evaluate	7/( natural log of e)	$\frac{7}{\ln (e)}$
214056	Solve for x	2x-pi=0	$2 x - π = 0$
214057	Simplify	4x-(-4x^3+11)-(2x+x^3)+7x	$4 x - (- 4 x^{3} + 11) - (2 x + x^{3}) + 7 x$
214058	Solve for x	(4^1012-4^1011)/3=2^x	$\frac{4^{1012} - 4^{1011}}{3} = 2^{x}$
214059	Solve for y	x/y=m/n	$\frac{x}{y} = \frac{m}{n}$
214060	Graph	-x+y>=-1 x+2y<4	$- x + y \geq - 1$ $x + 2 y < 4$
214061	Multiply	(b^2-3b-10)/((b-2)^2)*(b-2)/(b-5)	$\frac{b^{2} - 3 b - 10}{{(b - 2)}^{2}} \cdot \frac{b - 2}{b - 5}$
214062	Solve for X	(4X-3)/5=1	$\frac{4 X - 3}{5} = 1$
214063	Simplify the Radical Expression	fourth root of 81+ fourth root of 32- fourth root of 2	$\sqrt[4]{81} + \sqrt[4]{32} - \sqrt[4]{2}$
214064	Simplify the Radical Expression	square root of 12* square root of y^3* square root of 6y	$\sqrt{12} \cdot \sqrt{y^{3}} \cdot \sqrt{6 y}$
214065	Solve for r	V=pir^2h for r	$V = π r^{2} h$ for $r$
214066	Simplify	fourth root of 36* cube root of 6	$\sqrt[4]{36} \cdot \sqrt[3]{6}$
214067	Solve for y	2y=-10x	$2 y = - 10 x$
214068	Simplify	(v^-4*v^3)^(1/4)	${(v^{- 4} \cdot v^{3})}^{\frac{1}{4}}$
214069	Solve the Inequality for x	2x^2-26<=-14x+10	$2 x^{2} - 26 \leq - 14 x + 10$
214070	Evaluate	y=(7/8)^3	$y = {(\frac{7}{8})}^{3}$
214071	Solve for y	3/(y-2)=8	$\frac{3}{y - 2} = 8$
214072	Graph	y=-2x^3+x^2+18x-9	$y = - 2 x^{3} + x^{2} + 18 x - 9$
214073	Find the Inverse	f(x)=(4+x)/x	$f (x) = \frac{4 + x}{x}$
214074	Graph	x-y=-1 x-3y=-9	$x - y = - 1$ $x - 3 y = - 9$
214075	Solve for x	5/x+1/(2x)=-1/2	$\frac{5}{x} + \frac{1}{2 x} = \frac{- 1}{2}$
214076	Solve the Inequality for x	x^2-2x<6	$x^{2} - 2 x < 6$
214077	Convert to Radical Form	(y^(5/6)*y^(2/3))/(y^(1/2))	$\frac{y^{\frac{5}{6}} \cdot y^{\frac{2}{3}}}{y^{\frac{1}{2}}}$
214078	Simplify	(u-2v)/(12u^2)+(5u-6v)/(12u^2)	$\frac{u - 2 v}{12 u^{2}} + \frac{5 u - 6 v}{12 u^{2}}$
214079	Evaluate	(2+4)(8+3)^0	$(2 + 4) {(8 + 3)}^{0}$
214080	Find the Domain and Range	y=cos(x)^2	$y = \cos^{2} (x)$
214081	Solve for l	v=1.34 square root of l	$v = 1.34 \sqrt{l}$
214082	Graph	\|2x-6\|=\|x\|	$\| 2 x - 6 \| = \| x \|$
214083	Simplify	((9x^3)/7)÷(6/(5x^3))	$\frac{9 x^{3}}{7} \div \frac{6}{5 x^{3}}$
214084	Graph	y=0.5(3^x-3)	$y = 0.5 (3^{x} - 3)$
214085	Solve for x	log base 4 of 2x+1 = log base 4 of x+2- log base 4 of 3	$\log_{4} (2 x + 1) = \log_{4} (x + 2) - \log_{4} (3)$
214086	Simplify	(y^(5/6)*y^(2/3))/(y^(1/2))	$\frac{y^{\frac{5}{6}} \cdot y^{\frac{2}{3}}}{y^{\frac{1}{2}}}$
214087	Multiply	(a^2b^3c^4)(a^5b^4c^3)	$(a^{2} b^{3} c^{4}) (a^{5} b^{4} c^{3})$
214088	Solve for x	log of x+y=1/2( log of x+ log of y)+ log of 2	$\log (x + y) = \frac{1}{2} (\log (x) + \log (y)) + \log (2)$
214089	Find the x and y Intercepts	f(x)=(x^3)/(2x^2-8)	$f (x) = \frac{x^{3}}{2 x^{2} - 8}$
214090	Graph	The graph of a function f is shown below. Find f(2)	The graph of a function $f$ is shown below. Find $f (2)$
214091	Simplify	15/(10 square root of 2)	$\frac{15}{10 \sqrt{2}}$
214092	Write in Standard Form	4/3=-6e-5/3	$\frac{4}{3} = - 6 e - \frac{5}{3}$
214093	Simplify	(- square root of 3)/-1	$\frac{- \sqrt{3}}{- 1}$
214094	Simplify	(2+i^6)-(1-i^2)	$(2 + i^{6}) - (1 - i^{2})$
214095	Convert to Radical Form	2^(1/2)*2^3	$2^{\frac{1}{2}} \cdot 2^{3}$
214096	Simplify	cube root of 40/125	$\sqrt[3]{\frac{40}{125}}$
214097	Simplify	(3+ square root of 6)/(5- square root of 24)	$\frac{3 + \sqrt{6}}{5 - \sqrt{24}}$
214098	Write in Standard Form	5x+4x^2(2x+7)-6x^2-9x	$5 x + 4 x^{2} (2 x + 7) - 6 x^{2} - 9 x$
214099	Determine if True	(cos(pi/2-theta))/(sin(2theta))=(sec(theta))/2	$\frac{\cos (\frac{π}{2} - θ)}{\sin (2 θ)} = \frac{\sec (θ)}{2}$
214100	Solve for x	(2x+5)/(x+1)+3/(x-1)=(x+2)/(x-1)	$\frac{2 x + 5}{x + 1} + \frac{3}{x - 1} = \frac{x + 2}{x - 1}$