Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170901	Solve the Inequality for d	3d-7d+2.8<5.8-27	$3 d - 7 d + 2.8 < 5.8 - 27$
170902	Simplify	-12m+3n-4m-10n+5m-n	$- 12 m + 3 n - 4 m - 10 n + 5 m - n$
170903	Solve for x	sec(x)+1=0	$\sec (x) + 1 = 0$
170904	Simplify	(x^2+2x-24)/(x^3+6x^2)*(x^2+3x)/(x^2-x-12)	$\frac{x^{2} + 2 x - 24}{x^{3} + 6 x^{2}} \cdot \frac{x^{2} + 3 x}{x^{2} - x - 12}$
170905	Graph	x=pi	$x = π$
170906	Evaluate	4^3-4÷2+5	$4^{3} - 4 \div 2 + 5$
170907	Factor	ac-a-bc+b+c^2-c	$a c - a - b c + b + c^{2} - c$
170908	Simplify	((4z^-2x^3)^2)/(2z^5x^2)	$\frac{{(4 z^{- 2} x^{3})}^{2}}{2 z^{5} x^{2}}$
170909	Simplify	(2x^-2y^3)^4*2x^19y^-6	${(2 x^{- 2} y^{3})}^{4} \cdot 2 x^{19} y^{- 6}$
170910	Find the Product	(3a^4+4)^2	${(3 a^{4} + 4)}^{2}$
170911	Solve the System of Equations	-2x+y=-8 2x-y=8	$- 2 x + y = - 8$ $2 x - y = 8$
170912	Solve for y	8y+4y-6=2(7y-1)	$8 y + 4 y - 6 = 2 (7 y - 1)$
170913	Simplify	((2v^-4t^-1)^-5)/(4v^-1t)	$\frac{{(2 v^{- 4} t^{- 1})}^{- 5}}{4 v^{- 1} t}$
170914	Evaluate	-5/9+(-4/3)-2/3	$- \frac{5}{9} + (- \frac{4}{3}) - \frac{2}{3}$
170915	Simplify	(-6j^-8)/(-2(j^-3)^5)	$\frac{- 6 j^{- 8}}{- 2 {(j^{- 3})}^{5}}$
170916	Solve the Inequality for x	log base 3 of 2x-1> log base 3 of x+2	$\log_{3} (2 x - 1) > \log_{3} (x + 2)$
170917	Simplify	6(a+2b+3c)	$6 (a + 2 b + 3 c)$
170918	Solve for r	21r<7	$21 r < 7$
170919	Solve Using the Quadratic Formula	6+2x^2=20	$6 + 2 x^{2} = 20$
170920	Solve for x	r=x+9x	$r = x + 9 x$
170921	Solve the Inequality for x	6x-2(x+2)>2-3(x+3)	$6 x - 2 (x + 2) > 2 - 3 (x + 3)$
170922	Find the LCD	8/(x^2+11x+28) and -2/(x^2+4x)	$\frac{8}{x^{2} + 11 x + 28}$ and $\frac{- 2}{x^{2} + 4 x}$
170923	Solve for C	S=C+RC	$S = C + R C$
170924	Multiply	(2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3)	$(2 x^{2} - 5 x + 6) \cdot (3 x^{4} - 5 x^{3} - 6 x^{2} + 4 x - 3)$
170925	Solve the System of Equations	y+2x=-1 y=1/2x+4	$y + 2 x = - 1$ $y = \frac{1}{2} x + 4$
170926	Find the Roots (Zeros)	(x+3)^2=0	${(x + 3)}^{2} = 0$
170927	Factor	39x^2y^7z^3+30xy^3	$39 x^{2} y^{7} z^{3} + 30 x y^{3}$
170928	Graph	f(x)=-3x+4 if x<1; 3x-2 if x>=1	$f (x) = {\begin{cases} - 3 x + 4 & x < 1 \\ 3 x - 2 & x \geq 1 \end{cases}$
170929	Graph	(3,pi/3)	$(3, \frac{π}{3})$
170930	Solve the Inequality for f	3(2-f)<=15	$3 (2 - f) \leq 15$
170931	Solve for c	-5/6-1/5c=-1/2	$- \frac{5}{6} - \frac{1}{5} c = - \frac{1}{2}$
170932	Solve for r	-51=3-\|6-12r\|	$- 51 = 3 - \| 6 - 12 r \|$
170933	Find the Exact Value	(( square root of 3)/2)^2	${(\frac{\sqrt{3}}{2})}^{2}$
170934	Simplify	(3^-2k^0w^0)/(w^-6)	$\frac{3^{- 2} \cdot k^{0} \cdot w^{0}}{w^{- 6}}$
170935	Simplify	(8 square root of 100)(7 square root of -49)	$(8 \sqrt{100}) (7 \sqrt{- 49})$
170936	Solve for x	\|4x+5\|=\|-29+4x\|	$\| 4 x + 5 \| = \| - 29 + 4 x \|$
170937	Solve for x	1/2(2-4x)+2x=13	$\frac{1}{2} (2 - 4 x) + 2 x = 13$
170938	Write in Standard Form	-4x^2+x-15=-5x^2	$- 4 x^{2} + x - 15 = - 5 x^{2}$
170939	Graph	y=1/2\|x+1\|-2	$y = \frac{1}{2} \| x + 1 \| - 2$
170940	Solve for x	\|x+8\|-\|3x-4\|>=0	$\| x + 8 \| - \| 3 x - 4 \| \geq 0$
170941	Simplify	-3 square root of 3(2+ square root of 6)	$- 3 \sqrt{3} (2 + \sqrt{6})$
170942	Solve the Inequality for x	-70<-10x	$- 70 < - 10 x$
170943	Solve for x	6+2x^2-3x=8x^2	$6 + 2 x^{2} - 3 x = 8 x^{2}$
170944	Evaluate	4(8^x)=64	$4 (8^{x}) = 64$
170945	Solve Using the Quadratic Formula	3m^2+3/2m=-3/2	$3 m^{2} + \frac{3}{2} m = - \frac{3}{2}$
170946	Graph	(x^2+x-12)/(x^2-4)	$\frac{x^{2} + x - 12}{x^{2} - 4}$
170947	Write in Exponential Form	log base (x-3) of x=9/5	$\log_{(x - 3)} (x) = \frac{9}{5}$
170948	Solve the Inequality for x	1/2x<6	$\frac{1}{2} x < 6$
170949	Graph	f(x)=(x-1)(x^2-9)	$f (x) = (x - 1) (x^{2} - 9)$
170950	Solve for y	5y+2=1/2(10y+4)	$5 y + 2 = \frac{1}{2} (10 y + 4)$
170951	Evaluate	natural log of e^1	$\ln (e^{1})$
170952	Simplify	(x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)	$\frac{x^{2} (x - 4)}{x - 3} \cdot \frac{(x - 3) (x + 6)}{x^{3}}$
170953	Find the Roots (Zeros)	f(x)=-3^(2x+1)+2	$f (x) = - 3^{2 x + 1} + 2$
170954	Solve for d	-15+7.5(2d-1)=7.5	$- 15 + 7.5 (2 d - 1) = 7.5$
170955	Find the Product	7(-5v-8)	$7 (- 5 v - 8)$
170956	Solve the System of Equations	y=x-2 y=x^2-5x+6	$y = x - 2$ $y = x^{2} - 5 x + 6$
170957	Graph	f^-1(2)	$f^{- 1} (2)$
170958	Solve the Absolute Value Inequality for m	\|-6m\|=30	$\| - 6 m \| = 30$
170959	Graph	y>-3\|x+1\|-2	$y > - 3 \| x + 1 \| - 2$
170960	Solve Using the Square Root Property	3/5m^2=3	$\frac{3}{5} m^{2} = 3$
170961	Solve the Inequality for v	5/6v<8/5	$\frac{5}{6} v < \frac{8}{5}$
170962	Evaluate	4/3pi9^3	$\frac{4}{3} \cdot π \cdot 9^{3}$
170963	Solve for x	square root of 2x-9 = square root of x	$\sqrt{2 x - 9} = \sqrt{x}$
170964	Simplify the Radical Expression	sixth root of 64(x^2-3)^18	$\sqrt[6]{64 {(x^{2} - 3)}^{18}}$
170965	Solve the System of Inequalities	2x-3<7 and 5-x<=8	$2 x - 3 < 7$ and $5 - x \leq 8$
170966	Simplify	(27^2)/(27^(4/3))	$\frac{27^{2}}{27^{\frac{4}{3}}}$
170967	Graph	-8x+2x-16<-5x+7x	$- 8 x + 2 x - 16 < - 5 x + 7 x$
170968	Solve for x	2x^2=-10x+12	$2 x^{2} = - 10 x + 12$
170969	Solve for x	5x-c=k for x	$5 x - c = k$ for $x$
170970	Write in Standard Form	y=(x+1)^2-3	$y = {(x + 1)}^{2} - 3$
170971	Graph	g(x)=-f(x+2)	$g (x) = - f (x + 2)$
170972	Solve for x	2/3x+2=2 1/3	$\frac{2}{3} x + 2 = 2 \frac{1}{3}$
170973	Evaluate	f(x)=(3/4)^-2	$f (x) = {(\frac{3}{4})}^{- 2}$
170974	Solve the Inequality for x	x^2+x-20<0	$x^{2} + x - 20 < 0$
170975	Graph	3x-12>=7x+4	$3 x - 12 \geq 7 x + 4$
170976	Find the Roots (Zeros)	F(x)=4x^3-6x^2+9x+10	$F (x) = 4 x^{3} - 6 x^{2} + 9 x + 10$
170977	Simplify	(i^4)^2	${(i^{4})}^{2}$
170978	Solve for c	3(c-2)=2(c-6)	$3 (c - 2) = 2 (c - 6)$
170979	Simplify	2(1/2)	$2 (\frac{1}{2})$
170980	Evaluate	3^(1/4-1)	$3^{\frac{1}{4} - 1}$
170981	Simplify	xz^3*4x^4z^5	$x z^{3} \cdot 4 x^{4} z^{5}$
170982	Solve the System of Inequalities	-8x+3>=27 and -13x+5>=57	$- 8 x + 3 \geq 27$ and $- 13 x + 5 \geq 57$
170983	Solve for m	7m+11=-4(2m+3)	$7 m + 11 = - 4 (2 m + 3)$
170984	Graph	f(x)=x(x-1)(x-2)(x+1)(x+2)	$f (x) = x (x - 1) (x - 2) (x + 1) (x + 2)$
170985	Evaluate	25+3(4^2-3^2)^2-5(62-5*3^2)	$25 + 3 {(4^{2} - 3^{2})}^{2} - 5 (62 - 5 \cdot 3^{2})$
170986	Simplify	4/5 square root of 72y^7- square root of 128y^7+5y^3 square root of 18y	$\frac{4}{5} \sqrt{72 y^{7}} - \sqrt{128 y^{7}} + 5 y^{3} \sqrt{18 y}$
170987	Graph	g(x)=f(x)+6	$g (x) = f (x) + 6$
170988	Evaluate	(14+17)-(6*12)/3	$(14 + 17) - \frac{6 \cdot 12}{3}$
170989	Solve for b	3(2b+3)^2=36	$3 {(2 b + 3)}^{2} = 36$
170990	Solve for t	4(2^t)=10	$4 (2^{t}) = 10$
170991	Solve the System of Inequalities	12<3x+6 or 21>=3x+6	$12 < 3 x + 6$ or $21 \geq 3 x + 6$
170992	Simplify	((6n^2-23n+7)/(8n^3-28n^2))÷((1-9n^2)/(2n^2-10n))	$\frac{6 n^{2} - 23 n + 7}{8 n^{3} - 28 n^{2}} \div \frac{1 - 9 n^{2}}{2 n^{2} - 10 n}$
170993	Subtract	4/6-1/3	$\frac{4}{6} - \frac{1}{3}$
170994	Solve for x	4(x-1)-2(3x+5)=-3x-1	$4 (x - 1) - 2 (3 x + 5) = - 3 x - 1$
170995	Find the Domain and Range	f(x)=-1/4\|x-5\|	$f (x) = - \frac{1}{4} \| x - 5 \|$
170996	Find the Exact Value	cos(570 degrees )	$\cos (570 °)$
170997	Simplify	square root of 20* square root of -5	$\sqrt{20} \cdot \sqrt{- 5}$
170998	Solve for θ	2sin(theta)^2=sin(theta)	$2 \sin^{2} (θ) = \sin (θ)$
170999	Simplify the Radical Expression	1/( square root of 7)	$\frac{1}{\sqrt{7}}$
171000	Simplify	square root of 45xy^3z^2	$\sqrt{45 x y^{3} z^{2}}$