Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187001	Simplify	(x^2+4x+4)/(2x^2+3x-2)	$\frac{x^{2} + 4 x + 4}{2 x^{2} + 3 x - 2}$
187002	Graph	x<=6y	$x \leq 6 y$
187003	Solve for x	-15-3x=4x-2x	$- 15 - 3 x = 4 x - 2 x$
187004	Find the Degree, Leading Term, and Leading Coefficient	5x^4+x^3+3x^2-7	$5 x^{4} + x^{3} + 3 x^{2} - 7$
187005	Solve for m	1/5m+2/3-2=m-2/5	$\frac{1}{5} m + \frac{2}{3} - 2 = m - \frac{2}{5}$
187006	Graph Using a Table of Values	f(x)=x+6	$f (x) = x + 6$
187007	Find the Exact Value	csc(600 degrees )	$\csc (600 °)$
187008	Find the Inverse	y=x/(x-1)	$y = \frac{x}{x - 1}$
187009	Evaluate	x/(x^2+3x+2)+3/(x+1)	$\frac{x}{x^{2} + 3 x + 2} + \frac{3}{x + 1}$
187010	Solve the Inequality for x	2(2x+1)>=10	$2 (2 x + 1) \geq 10$
187011	Graph	3(x-2)-(1-x)>2x-7	$3 (x - 2) - (1 - x) > 2 x - 7$
187012	Graph	v+8<3 or -8v<-40	$v + 8 < 3$ or $- 8 v < - 40$
187013	Simplify	21-8(v+3)+3+7v	$21 - 8 (v + 3) + 3 + 7 v$
187014	Multiply	1*(-1/3)	$1 \cdot (- \frac{1}{3})$
187015	Simplify	(x^3+3x^2)/(x^3-6x^2-40x)*(x^2-16)/(x^2-x-12)	$\frac{x^{3} + 3 x^{2}}{x^{3} - 6 x^{2} - 40 x} \cdot \frac{x^{2} - 16}{x^{2} - x - 12}$
187016	Evaluate	-17/(4+1)	$- \frac{17}{4 + 1}$
187017	Simplify	-20-4h+4h	$- 20 - 4 h + 4 h$
187018	Solve the Inequality for x	x^3+x^2+4x+4>0	$x^{3} + x^{2} + 4 x + 4 > 0$
187019	Solve the Inequality for t	6t+4<=-2	$6 t + 4 \leq - 2$
187020	Evaluate	1/4(0)^2	$\frac{1}{4} {(0)}^{2}$
187021	Solve the Inequality for x	-10<=5+x<-5	$- 10 \leq 5 + x < - 5$
187022	Solve the System of Equations	y=-1/2x-1 y=3x-8	$y = - \frac{1}{2} x - 1$ $y = 3 x - 8$
187023	Solve the Inequality for x	(x+4)(x-2)<=0	$(x + 4) (x - 2) \leq 0$
187024	Solve for g	g^(x-1)-2=25	$g^{x - 1} - 2 = 25$
187025	Solve the Inequality for x	log base 4 of 2x+5< = log base 4 of 4x-3	$\log_{4} (2 x + 5) \leq \log_{4} (4 x - 3)$
187026	Solve for k	square root of 2k+1=19	$\sqrt{2 k + 1} = 19$
187027	Solve for r	17-5r+9r=-12+6r-1	$17 - 5 r + 9 r = - 12 + 6 r - 1$
187028	Solve for r	7r+16r-4r=38	$7 r + 16 r - 4 r = 38$
187029	Solve the Inequality for x	\|x\|<=1	$\| x \| \leq 1$
187030	Factor	x^2=2x+24	$x^{2} = 2 x + 24$
187031	Solve for y	x/y=y-6	$\frac{x}{y} = y - 6$
187032	Find the Exact Value	sin(pi/5)cos(pi/2)+sin(pi/2)cos(pi/5)	$\sin (\frac{π}{5}) \cos (\frac{π}{2}) + \sin (\frac{π}{2}) \cos (\frac{π}{5})$
187033	Simplify	a/(a-b)-b/(a-b)	$\frac{a}{a - b} - \frac{b}{a - b}$
187034	Find f(g(x))	f(x)=x+4 and g(x)=x-4	$f (x) = x + 4$ and $g (x) = x - 4$
187035	Find the Inverse	f(x)=2(x^7+2)	$f (x) = 2 (x^{7} + 2)$
187036	Graph	f(x)=5,x<-2; 3,-2<=x<0; 0,0<=x<2; -3,x>=2	$f (x) = {\begin{cases} 5, x < - 2 \\ 3, - 2 \leq x < 0 \\ 0, 0 \leq x < 2 \\ - 3, x \geq 2 \end{cases}$
187037	Solve for t	square root of 2t-5-3=3	$\sqrt{2 t - 5} - 3 = 3$
187038	Solve for m	7m-7m+m+2m-2m=38	$7 m - 7 m + m + 2 m - 2 m = 38$
187039	Simplify	-4(4a+2b-1/2c)	$- 4 (4 a + 2 b - \frac{1}{2} c)$
187040	Find the Inverse	f(x) = seventh root of 8x+5	$f (x) = \sqrt[7]{8 x} + 5$
187041	Solve for b	1/2(4a+10b)=c	$\frac{1}{2} (4 a + 10 b) = c$
187042	Solve for x	(x+5)/(x+8)+2/(x-8)=2/(x-8)	$\frac{x + 5}{x + 8} + \frac{2}{x - 8} = \frac{2}{x - 8}$
187043	Solve for x	x/3+(x+1)/2=x	$\frac{x}{3} + \frac{x + 1}{2} = x$
187044	Evaluate	f(x)=4(-3)^2-(-3)-3	$f (x) = 4 {(- 3)}^{2} - (- 3) - 3$
187045	Solve for x	(1/128)^(-5x+8)=32^(-x+3)	${(\frac{1}{128})}^{- 5 x + 8} = 32^{- x + 3}$
187046	Divide	((x^2-y^2)/y)÷((x+y)/(6y^2))	$\frac{x^{2} - y^{2}}{y} \div \frac{x + y}{6 y^{2}}$
187047	Simplify	((c^2-1)/(c^4-1))÷((c+1)/(c^2+1))	$\frac{c^{2} - 1}{c^{4} - 1} \div \frac{c + 1}{c^{2} + 1}$
187048	Multiply	(6y^2+5y^4)^2	${(6 y^{2} + 5 y^{4})}^{2}$
187049	Find the Holes in the Graph	y=(2x-1)/(x-7)	$y = \frac{2 x - 1}{x - 7}$
187050	Find g(f(x))	f(x)=2/x g(x)=2/x	$f (x) = \frac{2}{x}$ $g (x) = \frac{2}{x}$
187051	Simplify	(((4x^2y^3)^3)/((2xy)^4))^2	${(\frac{{(4 x^{2} y^{3})}^{3}}{{(2 x y)}^{4}})}^{2}$
187052	Solve for x	3x+x/5-5=1/5+5x	$3 x + \frac{x}{5} - 5 = \frac{1}{5} + 5 x$
187053	Solve for x	-4x^5-12x^4-9x^3=0	$- 4 x^{5} - 12 x^{4} - 9 x^{3} = 0$
187054	Graph	1-\|x\|	$1 - \| x \|$
187055	Simplify	((x^2-11x+30)/(x^2-4))÷((x^2+3x-40)/(x-2))	$\frac{x^{2} - 11 x + 30}{x^{2} - 4} \div \frac{x^{2} + 3 x - 40}{x - 2}$
187056	Find f(g(x))	f(x)=(2-x)/(x+1) g(x)=18-3x	$f (x) = \frac{2 - x}{x + 1}$ $g (x) = 18 - 3 x$
187057	Graph	y=cos(theta/2+(5pi)/3)-2	$y = \cos (\frac{θ}{2} + \frac{5 π}{3}) - 2$
187058	Simplify	(4x^2y-3xy^2+4x-3xy)-(-4x^2y+2xy+3xy^2+x)	$(4 x^{2} y - 3 x y^{2} + 4 x - 3 x y) - (- 4 x^{2} y + 2 x y + 3 x y^{2} + x)$
187059	Find the Roots (Zeros)	8x^2+12=7x^2+7x	$8 x^{2} + 12 = 7 x^{2} + 7 x$
187060	Simplify	9-3(2x+7)+4x-45	$9 - 3 (2 x + 7) + 4 x - 45$
187061	Solve for x	(5(x-3))/8+2=7	$\frac{5 (x - 3)}{8} + 2 = 7$
187062	Simplify	(7^2*5^6)^4	${(7^{2} \cdot 5^{6})}^{4}$
187063	Simplify	(i)(2i)(-7i)	$(i) (2 i) (- 7 i)$
187064	Convert to Radical Form	1/((3x^2-5)^(-5/2))	$\frac{1}{{(3 x^{2} - 5)}^{- \frac{5}{2}}}$
187065	Graph	f(x)=x-1 if x<-2; x-9 if x>4	$f (x) = {\begin{cases} x - 1 & x < - 2 \\ x - 9 & x > 4 \end{cases}$
187066	Simplify	6/(k-4)+(k+6)/(k^2+2k-24)	$\frac{6}{k - 4} + \frac{k + 6}{k^{2} + 2 k - 24}$
187067	Graph	f(x)=4+x if x<-2; x^2 if -2<=x<2; 6-x if x>=2	$f (x) = {\begin{cases} 4 + x & x < - 2 \\ x^{2} & - 2 \leq x < 2 \\ 6 - x & x \geq 2 \end{cases}$
187068	Solve the Inequality for x	square root of x-1<2	$\sqrt{x - 1} < 2$
187069	Solve the Rational Equation for x	1/(6x^2)=1/(3x^2)-1/x	$\frac{1}{6 x^{2}} = \frac{1}{3 x^{2}} - \frac{1}{x}$
187070	Graph	g(x)=3 cube root of x/2+4	$g (x) = 3 \sqrt[3]{\frac{x}{2}} + 4$
187071	Simplify	(21c^10d^3+56c^6d^2-7c^2d)/(7c^2d)	$\frac{21 c^{10} d^{3} + 56 c^{6} d^{2} - 7 c^{2} d}{7 c^{2} d}$
187072	Write in Slope-Intercept Form	y-4=0	$y - 4 = 0$
187073	Evaluate	natural log of x=8	$\ln (x) = 8$
187074	Find the Inverse	f(x)=1-2/(x^3)	$f (x) = 1 - \frac{2}{x^{3}}$
187075	Find the Product	(4xy-3z)^2	${(4 x y - 3 z)}^{2}$
187076	Solve the Inequality for x	x/3<5	$\frac{x}{3} < 5$
187077	Solve for x	2(\|x+4\|+3)=6	$2 (\| x + 4 \| + 3) = 6$
187078	Find the Domain and Range	g(x)=5- log of x	$g (x) = 5 - \log (x)$
187079	Simplify	((-8p^10)/(7r^3))^2	${(\frac{- 8 p^{10}}{7 r^{3}})}^{2}$
187080	Solve for n	-8(n-4)=n-40	$- 8 (n - 4) = n - 40$
187081	Find the Holes in the Graph	f(x)=(x^2-6x+5)/(x^2+4x-5)	$f (x) = \frac{x^{2} - 6 x + 5}{x^{2} + 4 x - 5}$
187082	Solve the Inequality for z	-16>=5(2z-11)	$- 16 \geq 5 (2 z - 11)$
187083	Solve the Inequality for x	(x^2+2x-3)/(3x^2-7x-6)>0	$\frac{x^{2} + 2 x - 3}{3 x^{2} - 7 x - 6} > 0$
187084	Graph	y<\|x+2\|	$y < \| x + 2 \|$
187085	Multiply	[[1,3,1],[-2,1,0]]*[[2,-2],[3,5],[4,1]]	$[\begin{array}{c} 1 & 3 & 1 \\ - 2 & 1 & 0 \end{array}] \times [\begin{array}{c} 2 & - 2 \\ 3 & 5 \\ 4 & 1 \end{array}]$
187086	Evaluate	4/3(3.14)(6)^3	$\frac{4}{3} (3.14) {(6)}^{3}$
187087	Solve Using the Quadratic Formula	ax^2+c=0	$a x^{2} + c = 0$
187088	Find All Complex Solutions	(cot(theta)+1)(csc(theta)-1)=0	$(\cot (θ) + 1) (\csc (θ) - 1) = 0$
187089	Solve for x	S=1/2(a+b)x	$S = \frac{1}{2} (a + b) x$
187090	Find the Roots (Zeros)	x(x-4)	$x (x - 4)$
187091	Solve for x	x/y=z	$\frac{x}{y} = z$
187092	Factor	4a^2b^2-16ab^3+8ab^2c	$4 a^{2} b^{2} - 16 a b^{3} + 8 a b^{2} c$
187093	Graph	sin(1x)^(-)	${\sin (1 x)}^{-}$
187094	Graph	y<=2x-1 y>-2x+3	$y \leq 2 x - 1$ $y > - 2 x + 3$
187095	Graph	g(x)=f(x)+k	$g (x) = f (x) + k$
187096	Simplify	2+(4(1-(5-11)))	$2 + (4 (1 - (5 - 11)))$
187097	Solve the System of Equations	y=-2x+1 y=-2x^2+1	$y = - 2 x + 1$ $y = - 2 x^{2} + 1$
187098	Find the Exact Value	sin((2pi)/3)^2	$\sin^{2} (\frac{2 π}{3})$
187099	Graph	3x-2y=4 x+y=2	$3 x - 2 y = 4$ $x + y = 2$
187100	Find g(f(x))	f(x)=4x g(x)=x/4	$f (x) = 4 x$ $g (x) = \frac{x}{4}$