Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170901	Graph	-5/2x+y=10	$- \frac{5}{2} x + y = 10$
170902	Simplify	(cos(x))/(1+sin(x))-(cos(x))/(1-sin(x))	$\frac{\cos (x)}{1 + \sin (x)} - \frac{\cos (x)}{1 - \sin (x)}$
170903	Solve for t	2(2t-3)=6(t+2)	$2 (2 t - 3) = 6 (t + 2)$
170904	Simplify	(3z^2-13z+4)/(z^4-2z^3-8z^2)	$\frac{3 z^{2} - 13 z + 4}{z^{4} - 2 z^{3} - 8 z^{2}}$
170905	Evaluate	-6f(-3)-5g(-7)	$- 6 \cdot f (- 3) - 5 \cdot g (- 7)$
170906	Evaluate	1/x+1/y	$\frac{1}{x} + \frac{1}{y}$
170907	Solve for c	-7/8=-1/4+5/8c	$- \frac{7}{8} = - \frac{1}{4} + \frac{5}{8} c$
170908	Evaluate	(x+2y)^2	${(x + 2 y)}^{2}$
170909	Solve for a	63=\|9a\|	$63 = \| 9 a \|$
170910	Find the Standard Form of the Parabola	f(x)=(2-x)^2+3	$f (x) = {(2 - x)}^{2} + 3$
170911	Solve the Inequality for x	-4(x+1)<=x+6	$- 4 (x + 1) \leq x + 6$
170912	Simplify	5/-4	$\frac{5}{- 4}$
170913	Evaluate	cos(x)=-1/2	$\cos (x) = - \frac{1}{2}$
170914	Solve for x	-6x+18=7-(4x+9)	$- 6 x + 18 = 7 - (4 x + 9)$
170915	Solve for p	(2p-29)/4=4	$\frac{2 p - 29}{4} = 4$
170916	Solve the Inequality for d	3d-7d+2.8<5.8-27	$3 d - 7 d + 2.8 < 5.8 - 27$
170917	Simplify	-12m+3n-4m-10n+5m-n	$- 12 m + 3 n - 4 m - 10 n + 5 m - n$
170918	Solve for x	sec(x)+1=0	$\sec (x) + 1 = 0$
170919	Simplify	(x^2+2x-24)/(x^3+6x^2)*(x^2+3x)/(x^2-x-12)	$\frac{x^{2} + 2 x - 24}{x^{3} + 6 x^{2}} \cdot \frac{x^{2} + 3 x}{x^{2} - x - 12}$
170920	Graph	x=pi	$x = π$
170921	Evaluate	4^3-4÷2+5	$4^{3} - 4 \div 2 + 5$
170922	Factor	ac-a-bc+b+c^2-c	$a c - a - b c + b + c^{2} - c$
170923	Simplify	((4z^-2x^3)^2)/(2z^5x^2)	$\frac{{(4 z^{- 2} x^{3})}^{2}}{2 z^{5} x^{2}}$
170924	Simplify	(2x^-2y^3)^4*2x^19y^-6	${(2 x^{- 2} y^{3})}^{4} \cdot 2 x^{19} y^{- 6}$
170925	Find the Product	(3a^4+4)^2	${(3 a^{4} + 4)}^{2}$
170926	Solve the System of Equations	-2x+y=-8 2x-y=8	$- 2 x + y = - 8$ $2 x - y = 8$
170927	Solve for y	8y+4y-6=2(7y-1)	$8 y + 4 y - 6 = 2 (7 y - 1)$
170928	Simplify	((2v^-4t^-1)^-5)/(4v^-1t)	$\frac{{(2 v^{- 4} t^{- 1})}^{- 5}}{4 v^{- 1} t}$
170929	Evaluate	-5/9+(-4/3)-2/3	$- \frac{5}{9} + (- \frac{4}{3}) - \frac{2}{3}$
170930	Simplify	(-6j^-8)/(-2(j^-3)^5)	$\frac{- 6 j^{- 8}}{- 2 {(j^{- 3})}^{5}}$
170931	Solve the Inequality for x	log base 3 of 2x-1> log base 3 of x+2	$\log_{3} (2 x - 1) > \log_{3} (x + 2)$
170932	Simplify	6(a+2b+3c)	$6 (a + 2 b + 3 c)$
170933	Solve for r	21r<7	$21 r < 7$
170934	Solve Using the Quadratic Formula	6+2x^2=20	$6 + 2 x^{2} = 20$
170935	Solve for x	r=x+9x	$r = x + 9 x$
170936	Solve the Inequality for x	6x-2(x+2)>2-3(x+3)	$6 x - 2 (x + 2) > 2 - 3 (x + 3)$
170937	Find the LCD	8/(x^2+11x+28) and -2/(x^2+4x)	$\frac{8}{x^{2} + 11 x + 28}$ and $\frac{- 2}{x^{2} + 4 x}$
170938	Solve for C	S=C+RC	$S = C + R C$
170939	Multiply	(2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3)	$(2 x^{2} - 5 x + 6) \cdot (3 x^{4} - 5 x^{3} - 6 x^{2} + 4 x - 3)$
170940	Solve the System of Equations	y+2x=-1 y=1/2x+4	$y + 2 x = - 1$ $y = \frac{1}{2} x + 4$
170941	Find the Roots (Zeros)	(x+3)^2=0	${(x + 3)}^{2} = 0$
170942	Factor	39x^2y^7z^3+30xy^3	$39 x^{2} y^{7} z^{3} + 30 x y^{3}$
170943	Graph	f(x)=-3x+4 if x<1; 3x-2 if x>=1	$f (x) = {\begin{cases} - 3 x + 4 & x < 1 \\ 3 x - 2 & x \geq 1 \end{cases}$
170944	Graph	(3,pi/3)	$(3, \frac{π}{3})$
170945	Solve the Inequality for f	3(2-f)<=15	$3 (2 - f) \leq 15$
170946	Solve for c	-5/6-1/5c=-1/2	$- \frac{5}{6} - \frac{1}{5} c = - \frac{1}{2}$
170947	Solve for r	-51=3-\|6-12r\|	$- 51 = 3 - \| 6 - 12 r \|$
170948	Find the Exact Value	(( square root of 3)/2)^2	${(\frac{\sqrt{3}}{2})}^{2}$
170949	Simplify	(3^-2k^0w^0)/(w^-6)	$\frac{3^{- 2} \cdot k^{0} \cdot w^{0}}{w^{- 6}}$
170950	Simplify	(8 square root of 100)(7 square root of -49)	$(8 \sqrt{100}) (7 \sqrt{- 49})$
170951	Solve for x	\|4x+5\|=\|-29+4x\|	$\| 4 x + 5 \| = \| - 29 + 4 x \|$
170952	Solve for x	1/2(2-4x)+2x=13	$\frac{1}{2} (2 - 4 x) + 2 x = 13$
170953	Write in Standard Form	-4x^2+x-15=-5x^2	$- 4 x^{2} + x - 15 = - 5 x^{2}$
170954	Graph	y=1/2\|x+1\|-2	$y = \frac{1}{2} \| x + 1 \| - 2$
170955	Solve for x	\|x+8\|-\|3x-4\|>=0	$\| x + 8 \| - \| 3 x - 4 \| \geq 0$
170956	Simplify	-3 square root of 3(2+ square root of 6)	$- 3 \sqrt{3} (2 + \sqrt{6})$
170957	Solve the Inequality for x	-70<-10x	$- 70 < - 10 x$
170958	Solve for x	6+2x^2-3x=8x^2	$6 + 2 x^{2} - 3 x = 8 x^{2}$
170959	Evaluate	4(8^x)=64	$4 (8^{x}) = 64$
170960	Solve Using the Quadratic Formula	3m^2+3/2m=-3/2	$3 m^{2} + \frac{3}{2} m = - \frac{3}{2}$
170961	Graph	(x^2+x-12)/(x^2-4)	$\frac{x^{2} + x - 12}{x^{2} - 4}$
170962	Write in Exponential Form	log base (x-3) of x=9/5	$\log_{(x - 3)} (x) = \frac{9}{5}$
170963	Solve the Inequality for x	1/2x<6	$\frac{1}{2} x < 6$
170964	Graph	f(x)=(x-1)(x^2-9)	$f (x) = (x - 1) (x^{2} - 9)$
170965	Solve for y	5y+2=1/2(10y+4)	$5 y + 2 = \frac{1}{2} (10 y + 4)$
170966	Evaluate	natural log of e^1	$\ln (e^{1})$
170967	Simplify	(x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)	$\frac{x^{2} (x - 4)}{x - 3} \cdot \frac{(x - 3) (x + 6)}{x^{3}}$
170968	Find the Roots (Zeros)	f(x)=-3^(2x+1)+2	$f (x) = - 3^{2 x + 1} + 2$
170969	Solve for d	-15+7.5(2d-1)=7.5	$- 15 + 7.5 (2 d - 1) = 7.5$
170970	Find the Product	7(-5v-8)	$7 (- 5 v - 8)$
170971	Solve the System of Equations	y=x-2 y=x^2-5x+6	$y = x - 2$ $y = x^{2} - 5 x + 6$
170972	Graph	f^-1(2)	$f^{- 1} (2)$
170973	Solve the Absolute Value Inequality for m	\|-6m\|=30	$\| - 6 m \| = 30$
170974	Graph	y>-3\|x+1\|-2	$y > - 3 \| x + 1 \| - 2$
170975	Solve Using the Square Root Property	3/5m^2=3	$\frac{3}{5} m^{2} = 3$
170976	Solve the Inequality for v	5/6v<8/5	$\frac{5}{6} v < \frac{8}{5}$
170977	Evaluate	4/3pi9^3	$\frac{4}{3} \cdot π \cdot 9^{3}$
170978	Solve for x	square root of 2x-9 = square root of x	$\sqrt{2 x - 9} = \sqrt{x}$
170979	Simplify the Radical Expression	sixth root of 64(x^2-3)^18	$\sqrt[6]{64 {(x^{2} - 3)}^{18}}$
170980	Solve the System of Inequalities	2x-3<7 and 5-x<=8	$2 x - 3 < 7$ and $5 - x \leq 8$
170981	Simplify	(27^2)/(27^(4/3))	$\frac{27^{2}}{27^{\frac{4}{3}}}$
170982	Graph	-8x+2x-16<-5x+7x	$- 8 x + 2 x - 16 < - 5 x + 7 x$
170983	Solve for x	2x^2=-10x+12	$2 x^{2} = - 10 x + 12$
170984	Solve for x	5x-c=k for x	$5 x - c = k$ for $x$
170985	Write in Standard Form	y=(x+1)^2-3	$y = {(x + 1)}^{2} - 3$
170986	Graph	g(x)=-f(x+2)	$g (x) = - f (x + 2)$
170987	Solve for x	2/3x+2=2 1/3	$\frac{2}{3} x + 2 = 2 \frac{1}{3}$
170988	Evaluate	f(x)=(3/4)^-2	$f (x) = {(\frac{3}{4})}^{- 2}$
170989	Solve the Inequality for x	x^2+x-20<0	$x^{2} + x - 20 < 0$
170990	Graph	3x-12>=7x+4	$3 x - 12 \geq 7 x + 4$
170991	Find the Roots (Zeros)	F(x)=4x^3-6x^2+9x+10	$F (x) = 4 x^{3} - 6 x^{2} + 9 x + 10$
170992	Simplify	(i^4)^2	${(i^{4})}^{2}$
170993	Solve for c	3(c-2)=2(c-6)	$3 (c - 2) = 2 (c - 6)$
170994	Simplify	2(1/2)	$2 (\frac{1}{2})$
170995	Evaluate	3^(1/4-1)	$3^{\frac{1}{4} - 1}$
170996	Simplify	xz^3*4x^4z^5	$x z^{3} \cdot 4 x^{4} z^{5}$
170997	Solve the System of Inequalities	-8x+3>=27 and -13x+5>=57	$- 8 x + 3 \geq 27$ and $- 13 x + 5 \geq 57$
170998	Solve for m	7m+11=-4(2m+3)	$7 m + 11 = - 4 (2 m + 3)$
170999	Graph	f(x)=x(x-1)(x-2)(x+1)(x+2)	$f (x) = x (x - 1) (x - 2) (x + 1) (x + 2)$
171000	Evaluate	25+3(4^2-3^2)^2-5(62-5*3^2)	$25 + 3 {(4^{2} - 3^{2})}^{2} - 5 (62 - 5 \cdot 3^{2})$