Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227101	Simplify	x/(3x-2)+3/(x-5)	$\frac{x}{3 x - 2} + \frac{3}{x - 5}$
227102	Simplify	((4x^4z^6)/(yz))^5	${(\frac{4 x^{4} z^{6}}{y z})}^{5}$
227103	Solve for x	(2x-5)/(x+5)-4=0	$\frac{2 x - 5}{x + 5} - 4 = 0$
227104	Solve for x	4x^3=2x-2	$4 x^{3} = 2 x - 2$
227105	Solve the System of Equations	3x+2y=22 and 2x+y=14.25	$3 x + 2 y = 22$ and $2 x + y = 14.25$
227106	Solve the Inequality for x	log of x+ log of 2-x<1	$\log (x) + \log (2 - x) < 1$
227107	Subtract	(2x)/5-(7x)/9	$\frac{2 x}{5} - \frac{7 x}{9}$
227108	Solve for z	x=(-2y+z)/3	$x = \frac{- 2 y + z}{3}$
227109	Solve for x	x^2-2/x=0	$x^{2} - \frac{2}{x} = 0$
227110	Solve for t	7(t+3)-2=5(t-2)+5	$7 (t + 3) - 2 = 5 (t - 2) + 5$
227111	Evaluate	(k^3-7k+2)-(k^2-12)	$(k^{3} - 7 k + 2) - (k^{2} - 12)$
227112	Simplify	1/(csc(x)^2-1)	$\frac{1}{\csc^{2} (x) - 1}$
227113	Solve for x	3^x81^5001=9^(2x)27^(2x+602)	$3^{x} \cdot 81^{5001} = 9^{2 x} \cdot 27^{2 x + 602}$
227114	Solve the Inequality for p	-2p+12>8	$- 2 p + 12 > 8$
227115	Simplify the Radical Expression	3x square root of 200x^3	$3 x \sqrt{200 x^{3}}$
227116	Simplify	square root of 75x^7 square root of 75x^7	$\sqrt{75 x^{7}} \sqrt{75 x^{7}}$
227117	Solve the System of Inequalities	x>2 5x-2y>6	$x > 2$ $5 x - 2 y > 6$
227118	Simplify	x(-5x^2-9x)	$x (- 5 x^{2} - 9 x)$
227119	Simplify	-8xi-3yi^3	$- 8 x i - 3 y i^{3}$
227120	Factor	-2x^2+4x+48÷x+4	$- 2 x^{2} + 4 x + 48 \div x + 4$
227121	Simplify	square root of 15xy^2* square root of 5x^2y	$\sqrt{15 x y^{2}} \cdot \sqrt{5 x^{2} y}$
227122	Simplify	( cube root of 54j^7)( cube root of 5j^5)	$(\sqrt[3]{54 j^{7}}) (\sqrt[3]{5 j^{5}})$
227123	Solve the Rational Equation for x	11=2+ square root of 90-x	$11 = 2 + \sqrt{90 - x}$
227124	Simplify	-(wk)+3kz-2kw+9zk-kw	$- wk + 3 k z - 2 k w + 9 z k - k w$
227125	Write in Standard Form	8x+3y+y^2=-263-x^2	$8 x + 3 y + y^{2} = - 263 - x^{2}$
227126	Simplify	(2/7+2/5+1/6)+(4 2/3+3 3/7)	$(\frac{2}{7} + \frac{2}{5} + \frac{1}{6}) + (4 \frac{2}{3} + 3 \frac{3}{7})$
227127	Graph	sin(theta)>0 and sec(theta)<0	$\sin (θ) > 0$ and $\sec (θ) < 0$
227128	Simplify	(2x^2-8x+8)/(x^2-4)	$\frac{2 x^{2} - 8 x + 8}{x^{2} - 4}$
227129	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+2x^2-11x+8 is divided by x-1	Use synthetic division to find the result when $x^{3} + 2 x^{2} - 11 x + 8$ is divided by $x - 1$
227130	Solve for d	5d^2+19d+16=0	$5 d^{2} + 19 d + 16 = 0$
227131	Divide Using Long Polynomial Division	6x^3+10x^2+25x+14 divided by 3x+2	$6 x^{3} + 10 x^{2} + 25 x + 14$ divided by $3 x + 2$
227132	Simplify the Radical Expression	(3 square root of 6)/( square root of 2)	$\frac{3 \sqrt{6}}{\sqrt{2}}$
227133	Solve for x	10/(2x+8)=1/10	$\frac{10}{2 x + 8} = \frac{1}{10}$
227134	Evaluate the Function	f(x)=8/x at x=-1	$f (x) = \frac{8}{x}$ at $x = - 1$
227135	Simplify the Radical Expression	10 root of r^-8*r^3	$\sqrt[10]{r^{- 8} \cdot r^{3}}$
227136	Simplify	(y-6/x)/((6y)/x)	$\frac{y - \frac{6}{x}}{\frac{6 y}{x}}$
227137	Solve the Rational Equation for x	square root of x+7-x=1	$\sqrt{x + 7} - x = 1$
227138	Simplify	-3x^2-x-10+10x^2+x-10	$- 3 x^{2} - x - 10 + 10 x^{2} + x - 10$
227139	Find the Domain and Range	f(x)=x^5-6x^4+8x^3+6x^2-9x	$f (x) = x^{5} - 6 x^{4} + 8 x^{3} + 6 x^{2} - 9 x$
227140	Find the Excluded Values	8/((x-7)(x+3))=7/(3x-10)	$\frac{8}{(x - 7) (x + 3)} = \frac{7}{3 x - 10}$
227141	Find the Inverse	y-2=3x	$y - 2 = 3 x$
227142	Solve the System of Equations	y-x=9 10+2x=-2y	$y - x = 9$ $10 + 2 x = - 2 y$
227143	Solve the Inequality for p	-5/4p+6<12	$- \frac{5}{4} p + 6 < 12$
227144	Solve for n	log base 8 of n-3 = log base 8 of 2	$\log_{8} (n - 3) = \log_{8} (2)$
227145	Find the Roots (Zeros)	h(t)=-3t^3(t+2)(t+5)	$h (t) = - 3 t^{3} (t + 2) (t + 5)$
227146	Write the Fraction in Simplest Form	6*5/9	$6 \cdot \frac{5}{9}$
227147	Solve the Rational Equation for x	(7x)/(x+1)+7=-7/(x+1)	$\frac{7 x}{x + 1} + 7 = - \frac{7}{x + 1}$
227148	Find the Roots (Zeros)	5x^4+2x=3x^3-10x^2+1	$5 x^{4} + 2 x = 3 x^{3} - 10 x^{2} + 1$
227149	Find the Domain and Range	y=sin(x)^2	$y = \sin^{2} (x)$
227150	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+22x^2+15x+25 is divided by 2x+5	Use the long division method to find the result when $8 x^{3} + 22 x^{2} + 15 x + 25$ is divided by $2 x + 5$
227151	Simplify	(3^-4+5^-3)^-2	${(3^{- 4} + 5^{- 3})}^{- 2}$
227152	Solve for x	(x-7)/(5x)+7/5=3	$\frac{x - 7}{5 x} + \frac{7}{5} = 3$
227153	Convert to Radical Form	5^(1/4)m^(3/4)	$5^{\frac{1}{4}} m^{\frac{3}{4}}$
227154	Simplify	((x+1)/(x^2+x-6))÷((x^2+5x+4)/(x+4))	$\frac{x + 1}{x^{2} + x - 6} \div \frac{x^{2} + 5 x + 4}{x + 4}$
227155	Solve the Inequality for x	-5<(6x-3)/3<5	$- 5 < \frac{6 x - 3}{3} < 5$
227156	Graph	y=-1/2(x-3)^3	$y = - \frac{1}{2} {(x - 3)}^{3}$
227157	Evaluate	x-10=4	$x - 10 = 4$
227158	Solve for p	7.50+14p<60	$7.5 + 14 p < 60$
227159	Solve for k	9k^2-k-1=3k^2	$9 k^{2} - k - 1 = 3 k^{2}$
227160	Simplify	-3z^2(z+2)-4(z^2+1)	$- 3 z^{2} (z + 2) - 4 (z^{2} + 1)$
227161	Solve the Inequality for V	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
227162	Simplify the Radical Expression	( cube root of 3)÷( square root of 3)	$\sqrt[3]{3} \div \sqrt{3}$
227163	Simplify	tan(x)*sin(x)	$\tan (x) \cdot \sin (x)$
227164	Solve for x	4(a-bx)=16	$4 (a - b x) = 16$
227165	Find All Complex Solutions	x^3-4x=0	$x^{3} - 4 x = 0$
227166	Solve the Inequality for x	4x^2-4x-4>-1	$4 x^{2} - 4 x - 4 > - 1$
227167	Solve by Substitution	y=3x+19 and y=5x+33	$y = 3 x + 19$ and $y = 5 x + 33$
227168	Factor by Grouping	12xy-21xy^2	$12 x y - 21 x y^{2}$
227169	Solve the Inequality for θ	pi/2<theta<pi	$\frac{π}{2} < θ < π$
227170	Solve by Graphing	2/3x^3+x^2-5x=-9	$\frac{2}{3} x^{3} + x^{2} - 5 x = - 9$
227171	Simplify	( square root of 3)/(2+4 square root of 3)	$\frac{\sqrt{3}}{2 + 4 \sqrt{3}}$
227172	Simplify	(x-12)^2-(x^2-144)	${(x - 12)}^{2} - (x^{2} - 144)$
227173	Solve for x	(2x)/(x-4)=8/(x-4)+3	$\frac{2 x}{x - 4} = \frac{8}{x - 4} + 3$
227174	Simplify	4/(30x-6)+(2x+5)/(30x-6)	$\frac{4}{30 x - 6} + \frac{2 x + 5}{30 x - 6}$
227175	Graph	(x+2)^2+y^2<=9	${(x + 2)}^{2} + y^{2} \leq 9$
227176	Simplify	((1/64)^(1/3))^-2	${({(\frac{1}{64})}^{\frac{1}{3}})}^{- 2}$
227177	Evaluate	7(6)^2+72/4	$7 {(6)}^{2} + \frac{72}{4}$
227178	Evaluate	\|x\|-1>0	$\| x \| - 1 > 0$
227179	Divide	(3 square root of 32a^2)/( square root of 8a)	$\frac{3 \sqrt{32 a^{2}}}{\sqrt{8 a}}$
227180	Expand the Logarithmic Expression	log of 8(x^14y^3)/(z^15)	$\log (8) \frac{x^{14} y^{3}}{z^{15}}$
227181	Simplify	8(-3(-9))(5/18(-9))(((-9)^17)/10)	$8 (- 3 (- 9)) (\frac{5}{18} (- 9)) (\frac{{(- 9)}^{17}}{10})$
227182	Write in Standard Form	y=(4x+3)^2-24x	$y = {(4 x + 3)}^{2} - 24 x$
227183	Simplify	((12x+6)/(21x^2-21))÷((6x^2+9x+3)/(7x^3-7x^2))	$\frac{12 x + 6}{21 x^{2} - 21} \div \frac{6 x^{2} + 9 x + 3}{7 x^{3} - 7 x^{2}}$
227184	Graph	4x=4y-y^2	$4 x = 4 y - y^{2}$
227185	Simplify	(5r+50)/(r+10)*(r-2)/5	$\frac{5 r + 50}{r + 10} \cdot \frac{r - 2}{5}$
227186	Evaluate	(-pi/2)÷2	$- \frac{π}{2} \div 2$
227187	Simplify the Radical Expression	6 square root of 1/3	$6 \sqrt{\frac{1}{3}}$
227188	Rationalize the Denominator	( square root of 6)/( square root of 10)	$\frac{\sqrt{6}}{\sqrt{10}}$
227189	Simplify	(9x^3-45x^2+36x)/(x+9)(x^2+11x+18)/(4x^3-8x^2-32x)(9-x^2)/(x^2+2x-3)	$\frac{9 x^{3} - 45 x^{2} + 36 x}{x + 9} \cdot \frac{x^{2} + 11 x + 18}{4 x^{3} - 8 x^{2} - 32 x} \cdot \frac{9 - x^{2}}{x^{2} + 2 x - 3}$
227190	Solve the Inequality for n	-n/50>22	$- \frac{n}{50} > 22$
227191	Evaluate	1125=9x^3	$1125 = 9 x^{3}$
227192	Find the Degree, Leading Term, and Leading Coefficient	1/6+6x	$\frac{1}{6} + 6 x$
227193	Solve for n	1/2n+7=(n+14)/2	$\frac{1}{2} n + 7 = \frac{n + 14}{2}$
227194	Simplify	2/(pi/2)	$\frac{2}{\frac{π}{2}}$
227195	Divide	((5x+2)/(3xy^2))÷((10x+4)/(x^2y))	$\frac{5 x + 2}{3 x y^{2}} \div \frac{10 x + 4}{x^{2} y}$
227196	Simplify	(5x-15)÷((x^2-9)/(x+2))	$(5 x - 15) \div \frac{x^{2} - 9}{x + 2}$
227197	Write in Standard Form	2/3x+6y=-10	$\frac{2}{3} x + 6 y = - 10$
227198	Simplify	(4- square root of 50)+(7+3 square root of 18)-(12-2 square root of 72)	$(4 - \sqrt{50}) + (7 + 3 \sqrt{18}) - (12 - 2 \sqrt{72})$
227199	Describe the Transformation	y=3(x-6)^2-2	$y = 3 {(x - 6)}^{2} - 2$
227200	Solve by Factoring	x^2+11x+11=4x	$x^{2} + 11 x + 11 = 4 x$