Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172801	Simplify	(3d^2-3d)/(3d-6)-6/(3d-6)	$\frac{3 d^{2} - 3 d}{3 d - 6} - \frac{6}{3 d - 6}$
172802	Solve for h	1/2(5-2h)=h/2	$\frac{1}{2} (5 - 2 h) = \frac{h}{2}$
172803	Solve for P	D=11/5(P-15)	$D = \frac{11}{5} (P - 15)$
172804	Evaluate	(pi/2)÷3	$\frac{π}{2} \div 3$
172805	Simplify	fifth root of 81x^2* fifth root of 3x^3	$\sqrt[5]{81 x^{2}} \cdot \sqrt[5]{3 x^{3}}$
172806	Find the Roots (Zeros)	-2x+3=-8x^2	$- 2 x + 3 = - 8 x^{2}$
172807	Solve for w	6w-y=2z	$6 w - y = 2 z$
172808	Simplify	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
172809	Solve the Inequality for x	(x-5)/(x-3)<=x/(x+1)	$\frac{x - 5}{x - 3} \leq \frac{x}{x + 1}$
172810	Solve for s	q=r+rst for s	$q = r + r s t$ for $s$
172811	Solve for y	\|2y+3\|<19	$\| 2 y + 3 \| < 19$
172812	Solve for x	square root of x+ square root of x+2=2	$\sqrt{x} + \sqrt{x + 2} = 2$
172813	Solve the Rational Equation for x	(3x)/(x+1)=12/(x^2-1)+2	$\frac{3 x}{x + 1} = \frac{12}{x^{2} - 1} + 2$
172814	Find All Complex Solutions	2sin(x)^2+3sin(x)=-1	$2 \sin^{2} (x) + 3 \sin (x) = - 1$
172815	Solve for x	5(1-x)^2-6(x^2-3x-7)=x(x-3)-2x(x+5)-2	$5 {(1 - x)}^{2} - 6 (x^{2} - 3 x - 7) = x (x - 3) - 2 x (x + 5) - 2$
172816	Simplify	-(3x)/(12y)	$- \frac{3 x}{12 y}$
172817	Find the Domain of the Composition g(f(x))	f(x)=2x+1 , g(x) = square root of x	$f (x) = 2 x + 1$ , $g (x) = \sqrt{x}$
172818	Graph	y>=3/2x+1/5	$y \geq \frac{3}{2} x + \frac{1}{5}$
172819	Find the Holes in the Graph	f(x)=(x^2+4x-5)/(3x^2+21x+30)	$f (x) = \frac{x^{2} + 4 x - 5}{3 x^{2} + 21 x + 30}$
172820	Graph	U(x)=-x^3+3x^2	$U (x) = - x^{3} + 3 x^{2}$
172821	Multiply	(3k)/(k+1)*(k^2-1)/(3k^3)	$\frac{3 k}{k + 1} \cdot \frac{k^{2} - 1}{3 k^{3}}$
172822	Simplify	(2x-5)/4+(x+3)/4	$\frac{2 x - 5}{4} + \frac{x + 3}{4}$
172823	Find the Product	(n-4)^3	${(n - 4)}^{3}$
172824	Solve by Substitution	9x+y=21 -x-3=y	$9 x + y = 21$ $- x - 3 = y$
172825	Evaluate	(pi/2)/(2pi)	$\frac{\frac{π}{2}}{2 π}$
172826	Solve for x	(4x-16)1/2=36	$(4 x - 16) \frac{1}{2} = 36$
172827	Solve the Inequality for x	-2<=4+x	$- 2 \leq 4 + x$
172828	Solve the System of Equations	x+7y=0 2x-8y=22	$x + 7 y = 0$ $2 x - 8 y = 22$
172829	Simplify	6/(2x^2)+5/(2x^2)	$\frac{6}{2 x^{2}} + \frac{5}{2 x^{2}}$
172830	Solve for x	log base 6 of x^2+8=1+ log base 6 of x	$\log_{6} (x^{2} + 8) = 1 + \log_{6} (x)$
172831	Simplify	sin(theta)^2*csc(theta)^2	$\sin^{2} (θ) \cdot \csc^{2} (θ)$
172832	Convert to Interval Notation	3\|x+1\|>=-6	$3 \| x + 1 \| \geq - 6$
172833	Simplify	(5p^2+7-3p^3-5p)+(-7p^3-3p^2-9-5p)	$(5 p^{2} + 7 - 3 p^{3} - 5 p) + (- 7 p^{3} - 3 p^{2} - 9 - 5 p)$
172834	Simplify	(4^5*4^-7)÷(4^-2)	$4^{5} \times 4^{- 7} \div 4^{- 2}$
172835	Evaluate	49/760/(25)	$\frac{49}{7} \cdot \frac{60}{2 \cdot 5}$
172836	Divide	((2a+2b)/(a^2+ab))÷(4/a)	$\frac{2 a + 2 b}{a^{2} + a b} \div \frac{4}{a}$
172837	Find the LCM	5x+10 , 10x^2-40	$5 x + 10$ , $10 x^{2} - 40$
172838	Solve for x	log base 3 of 2x-1> log base 3 of x+2	$\log_{3} (2 x - 1) > \log_{3} (x + 2)$
172839	Find the Degree	9x^2y^3+8xy^7+x^6+10	$9 x^{2} y^{3} + 8 x y^{7} + x^{6} + 10$
172840	Solve for x	y=4x+rx+6 for x	$y = 4 x + r x + 6$ for $x$
172841	Combine Like Terms	-7(w-4)+3w-27	$- 7 (w - 4) + 3 w - 27$
172842	Find the Domain and Range	f(x) = square root of 4x-x^2	$f (x) = \sqrt{4 x - x^{2}}$
172843	Find the x and y Intercepts	g(x)=-x(x+6)	$g (x) = - x (x + 6)$
172844	Find the Holes in the Graph	f(x)=(2x+14)/(3x^2+23x+14)	$f (x) = \frac{2 x + 14}{3 x^{2} + 23 x + 14}$
172845	Solve the Inequality for x	-3>=x+1	$- 3 \geq x + 1$
172846	Solve for x	2x+18-1=33	$2 x + 18 - 1 = 33$
172847	Solve the Inequality for x	1+x>=7	$1 + x \geq 7$
172848	Simplify	(5+12i)-(9i^2-6i)	$(5 + 12 i) - (9 i^{2} - 6 i)$
172849	Evaluate	15% of 60	$15 %$ of $60$
172850	Solve for z	20=40÷z	$20 = 40 \div z$
172851	Solve for x	5ax-y=6	$5 a x - y = 6$
172852	Graph	y=\|1/3x\|+4	$y = \| \frac{1}{3} x \| + 4$
172853	Solve the Inequality for n	\|2n+5\|>1	$\| 2 n + 5 \| > 1$
172854	Factor	5x^5-20x^3+5x^2-20	$5 x^{5} - 20 x^{3} + 5 x^{2} - 20$
172855	Divide	((x^2-1)/(3x^2+5x+2))÷((x^2+6x-7)/(x^2-4x-5))	$\frac{x^{2} - 1}{3 x^{2} + 5 x + 2} \div \frac{x^{2} + 6 x - 7}{x^{2} - 4 x - 5}$
172856	Subtract	(-4m^2+5mw-12w^2) from (-10m^2-11mw-7w^2)	$(- 4 m^{2} + 5 m w - 12 w^{2})$ from $(- 10 m^{2} - 11 m w - 7 w^{2})$
172857	Find the Distance Between Two Points	( square root of 3,- square root of 7) and (-7 square root of 3,-5 square root of 7)	$(\sqrt{3}, - \sqrt{7})$ and $(- 7 \sqrt{3}, - 5 \sqrt{7})$
172858	Solve for x	x/2-2/(x+1)=1	$\frac{x}{2} - \frac{2}{x + 1} = 1$
172859	Write in Slope-Intercept Form	x+4y>8	$x + 4 y > 8$
172860	Solve for a	3/ax-4=20	$\frac{3}{a} x - 4 = 20$
172861	Graph	(-6,infinity)	$(- 6, \infty)$
172862	Solve the Inequality for x	25^(3x-1)<=125^(3x+5)	$25^{3 x - 1} \leq 125^{3 x + 5}$
172863	Solve for x	-8x+10-3x^2=-12x	$- 8 x + 10 - 3 x^{2} = - 12 x$
172864	Find the Excluded Values	(6x)/(2x-4)	$\frac{6 x}{2 x - 4}$
172865	Solve for x	(2(x-5))/3+4=5x-2	$\frac{2 (x - 5)}{3} + 4 = 5 x - 2$
172866	Graph	y=-1/2 square root of x-4	$y = - \frac{1}{2} \sqrt{x - 4}$
172867	Factor	3a^3-3a^2b+9ab^2-a^2+ab-3b^2	$3 a^{3} - 3 a^{2} b + 9 a b^{2} - a^{2} + a b - 3 b^{2}$
172868	Simplify	9q^2-2/3(3q-7)+5q^2	$9 q^{2} - \frac{2}{3} (3 q - 7) + 5 q^{2}$
172869	Evaluate	sin(165 degrees )	$\sin (165 °)$
172870	Find the x and y Intercepts	f(x)=(2x^2+1)/x	$f (x) = \frac{2 x^{2} + 1}{x}$
172871	Simplify	7 square root of 3-2 square root of 3+ square root of 3-3 square root of 3	$7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3}$
172872	Find the Volume	sphere (6cm)	 $\begin{array}{r} r = & 6 cm \end{array}$
172873	Solve the Rational Equation for x	x/3+12/x=x-2	$\frac{x}{3} + \frac{12}{x} = x - 2$
172874	Solve the Inequality for x	(4x)/(2x+3)>2	$\frac{4 x}{2 x + 3} > 2$
172875	Simplify	(2x-10)-(3x^2+10x)+(2x^3+3x^2)	$(2 x - 10) - (3 x^{2} + 10 x) + (2 x^{3} + 3 x^{2})$
172876	Solve for a	1/10(a+1)=1/6(2-a)	$\frac{1}{10} (a + 1) = \frac{1}{6} (2 - a)$
172877	Divide	-3/-2	$- \frac{3}{- 2}$
172878	Solve for M	M=(3^25^22549)/(35^290^2)	$M = \frac{3^{2} \times 5^{2} \cdot 25 \cdot 49}{35^{2} \cdot 90^{2}}$
172879	Solve for w	-w/5+9=13	$- \frac{w}{5} + 9 = 13$
172880	Simplify	((2x^3)(x^4)^2)/(8x^11)	$\frac{(2 x^{3}) {(x^{4})}^{2}}{8 x^{11}}$
172881	Multiply	1x*1x	$1 x \cdot 1 x$
172882	Solve for y	9y^2+25=30y	$9 y^{2} + 25 = 30 y$
172883	Solve the Inequality for x	(x+8)/(5x-1)>0	$\frac{x + 8}{5 x - 1} > 0$
172884	Evaluate	f(x)=2 square root of 0	$f (x) = 2 \sqrt{0}$
172885	Solve the Inequality for x	x^2-2x-4<0	$x^{2} - 2 x - 4 < 0$
172886	Solve for k	x^2-kx+81=0	$x^{2} - k x + 81 = 0$
172887	Determine if True	cot(theta)^2-cos(theta)^2=cot(theta)^2cos(theta)^2	$\cot^{2} (θ) - \cos^{2} (θ) = \cot^{2} (θ) \cos^{2} (θ)$
172888	Solve the System of Equations	y=x^2+7x-5 y=6x+7	$y = x^{2} + 7 x - 5$ $y = 6 x + 7$
172889	Solve for x	(3x-12)/(3x)=(4x^2-9)/(4x^2-16x+15)	$\frac{3 x - 12}{3 x} = \frac{4 x^{2} - 9}{4 x^{2} - 16 x + 15}$
172890	Solve for q	9.6q-5.4-2.6q=2(3.5q-2.7)	$9.6 q - 5.4 - 2.6 q = 2 (3.5 q - 2.7)$
172891	Simplify	f(x)=1/(x+1/(1-1/x))	$f (x) = \frac{1}{x + \frac{1}{1 - \frac{1}{x}}}$
172892	Solve for n	3(2n-2)-1=9/4	$3 (2 n - 2) - 1 = \frac{9}{4}$
172893	Evaluate	sin(theta)=-( square root of 2)/2	$\sin (θ) = - \frac{\sqrt{2}}{2}$
172894	Find the Exact Value	cos((4pi)/3)^2	$\cos^{2} (\frac{4 π}{3})$
172895	Find All Complex Solutions	theta=(5pi)/6	$θ = \frac{5 π}{6}$
172896	Multiply	x/2*2	$\frac{x}{2} \cdot 2$
172897	Solve the Inequality for x	9x^2-81<=0	$9 x^{2} - 81 \leq 0$
172898	Solve for x	x/9+8=8	$\frac{x}{9} + 8 = 8$
172899	Find the Inverse	f(x)=( square root of x)/5	$f (x) = \frac{\sqrt{x}}{5}$
172900	Solve for S	3.25+5.50S<=30	$3.25 + 5.5 S \leq 30$