Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
163601	Find the x and y Intercepts	f(x)=(2x+4)/(-x^2+4)	$f (x) = \frac{2 x + 4}{- x^{2} + 4}$
163602	Simplify	6/( square root of 18)	$\frac{6}{\sqrt{18}}$
163603	Find All Complex Solutions	2cos(x)^2+cos(x)-1=0	$2 \cos^{2} (x) + \cos (x) - 1 = 0$
163604	Simplify	(20x^3)/((5x^2)^3)	$\frac{20 x^{3}}{{(5 x^{2})}^{3}}$
163605	Evaluate	(x-3)(x+3)	$(x - 3) (x + 3)$
163606	Find the Domain and Range	f^-1(x) = cube root of x	$f^{- 1} (x) = \sqrt[3]{x}$
163607	Divide	(4x^3+x^2)/x	$\frac{4 x^{3} + x^{2}}{x}$
163608	Graph	1/2x-2y>-6	$\frac{1}{2} x - 2 y > - 6$
163609	Find the Domain and Range	f(x)=(22+x)/(25+x)	$f (x) = \frac{22 + x}{25 + x}$
163610	Solve the Inequality for x	(x+6)/(x^2-5x-24)>=0	$\frac{x + 6}{x^{2} - 5 x - 24} \geq 0$
163611	Factor	45x^3y-75x^2y^2-30x^4y^3	$45 x^{3} y - 75 x^{2} y^{2} - 30 x^{4} y^{3}$
163612	Write in Standard Form	-(x^2)/10+10-x^3	$- \frac{x^{2}}{10} + 10 - x^{3}$
163613	Simplify	3^(1/4)*27^(1/4)	$3^{\frac{1}{4}} \cdot 27^{\frac{1}{4}}$
163614	Simplify	(2^5-4*3^3)/(7+(1- square root of 100))	$\frac{2^{5} - 4 \cdot 3^{3}}{7 + (1 - \sqrt{100})}$
163615	Solve for x	f(x)=4	$f (x) = 4$
163616	Write in Standard Form	1/3+x^2+3x	$\frac{1}{3} + x^{2} + 3 x$
163617	Solve the System of Inequalities	1/4y<-1 or 3+y>=5	$\frac{1}{4} y < - 1$ or $3 + y \geq 5$
163618	Solve for g	Rg=m+h^2g	$R g = m + h^{2} g$
163619	Solve for A	h^3+g/A=m	$h^{3} + \frac{g}{A} = m$
163620	Solve for d	5/6=1/3+d	$\frac{5}{6} = \frac{1}{3} + d$
163621	Solve the Inequality for x	3x-5>=4x-3	$3 x - 5 \geq 4 x - 3$
163622	Find the Inverse	y=(x+1)/x	$y = \frac{x + 1}{x}$
163623	Write in Standard Form	1+(x^3)/6+5x	$1 + \frac{x^{3}}{6} + 5 x$
163624	Divide	(2x^4+4x^3-x^2)/x	$\frac{2 x^{4} + 4 x^{3} - x^{2}}{x}$
163625	Solve the Inequality for x	x^2+2x+1>=0	$x^{2} + 2 x + 1 \geq 0$
163626	Write in Standard Form	1/8y=-3/4x-1	$\frac{1}{8} y = - \frac{3}{4} x - 1$
163627	Find the x and y Intercepts	3x+2y	$3 x + 2 y$
163628	Solve the System of Inequalities	2x-11<5x+7<=2x-2	$2 x - 11 < 5 x + 7 \leq 2 x - 2$
163629	Find the Discriminant	-18p=p^2+81	$- 18 p = p^{2} + 81$
163630	Find the Exact Value	3/4+1/2	$\frac{3}{4} + \frac{1}{2}$
163631	Solve for G	N^3-5hG=3G	$N^{3} - 5 h G = 3 G$
163632	Solve for x	8x+c=k for x	$8 x + c = k$ for $x$
163633	Simplify	(4/2)^2	${(\frac{4}{2})}^{2}$
163634	Solve for x	x^4+1=0	$x^{4} + 1 = 0$
163635	Find the Holes in the Graph	f(x)=(x^2-36)/(x-6)	$f (x) = \frac{x^{2} - 36}{x - 6}$
163636	Simplify	square root of (448u^3v^3)/(900u^2v^11)	$\sqrt{\frac{448 u^{3} v^{3}}{900 u^{2} v^{11}}}$
163637	Solve for x	\|x+1\|+2x=7	$\| x + 1 \| + 2 x = 7$
163638	Solve for B	2=-3f+1/5RB	$2 = - 3 f + \frac{1}{5} R B$
163639	Solve the Inequality for x	(x+3)/(x-2)>=0	$\frac{x + 3}{x - 2} \geq 0$
163640	Convert to Interval Notation	y-5(y+1)>=2y-5	$y - 5 (y + 1) \geq 2 y - 5$
163641	Simplify	(x^2+x-6)/((x^2-4)(x+3))	$\frac{x^{2} + x - 6}{(x^{2} - 4) (x + 3)}$
163642	Simplify	3x^2-2x^2+4x-x^2+x	$3 x^{2} - 2 x^{2} + 4 x - x^{2} + x$
163643	Find the First Term	a_n=2n+1	$a_{n} = 2 n + 1$
163644	Solve the Rational Equation for x	x/5+1/4=x/2	$\frac{x}{5} + \frac{1}{4} = \frac{x}{2}$
163645	Evaluate	4/3pi3^3	$\frac{4}{3} \cdot π \cdot 3^{3}$
163646	Graph Using a Table of Values	f(x)=(3x+3)/(x+2)	$f (x) = \frac{3 x + 3}{x + 2}$
163647	Solve for p	SA=1/2lp+B	$S A = \frac{1}{2} l p + B$
163648	Simplify the Radical Expression	square root of -15	$\sqrt{- 15}$
163649	Graph	y=(1/2x)^3	$y = {(\frac{1}{2} x)}^{3}$
163650	Simplify	x*3x	$x \cdot 3 x$
163651	Solve Using the Quadratic Formula	y(y+1)-4=0	$y (y + 1) - 4 = 0$
163652	Solve for x	(x^2+1)^2-5x^2-5=0	${(x^{2} + 1)}^{2} - 5 x^{2} - 5 = 0$
163653	Evaluate	f(-2)=3^-2	$f (- 2) = 3^{- 2}$
163654	Subtract	5x^2-2x-5 from -2x^2-5x-7	$5 x^{2} - 2 x - 5$ from $- 2 x^{2} - 5 x - 7$
163655	Evaluate	(3x^2)^2	${(3 x^{2})}^{2}$
163656	Simplify	(4a^4b^2c)/(12a^2b^5c^3)	$\frac{4 a^{4} b^{2} c}{12 a^{2} b^{5} c^{3}}$
163657	Solve for x	10/15=4/(x-5)	$\frac{10}{15} = \frac{4}{x - 5}$
163658	Solve for r	v=ir-e	$v = i r - e$
163659	Solve the Inequality for x	x^2+6x+8>0	$x^{2} + 6 x + 8 > 0$
163660	Solve for x	150-x-2x=120+2x	$150 - x - 2 x = 120 + 2 x$
163661	Solve the Inequality for x	4(x-1)<=(x+6)/2	$4 (x - 1) \leq \frac{x + 6}{2}$
163662	Solve the System of Inequalities	y>-2 x+y<4	$y > - 2$ $x + y < 4$
163663	Simplify	((x^2-64)/(x-8))÷((x^2+5x-24)/(3x))	$\frac{x^{2} - 64}{x - 8} \div \frac{x^{2} + 5 x - 24}{3 x}$
163664	Find the Excluded Values	(-11x+1)/(-30x^2-25x+5)	$\frac{- 11 x + 1}{- 30 x^{2} - 25 x + 5}$
163665	Solve the Inequality for x	(x+4)/(x+7)<2	$\frac{x + 4}{x + 7} < 2$
163666	Simplify	((x-1)^2)/(x^2-x-12)*(x^2+x-6)/(x^2-6x+5)	$\frac{{(x - 1)}^{2}}{x^{2} - x - 12} \cdot \frac{x^{2} + x - 6}{x^{2} - 6 x + 5}$
163667	Graph	f(x)=x^3+4x^2+x-6	$f (x) = x^{3} + 4 x^{2} + x - 6$
163668	Solve for y	1/( square root of y+16)=-4/(y+4)	$\frac{1}{\sqrt{y + 16}} = - \frac{4}{y + 4}$
163669	Solve for x	(2x+3)^2-4(2x+3)-12=0	${(2 x + 3)}^{2} - 4 (2 x + 3) - 12 = 0$
163670	Solve the Rational Equation for x	(x^2)/(x-3)=(x+2)/(2x-5)	$\frac{x^{2}}{x - 3} = \frac{x + 2}{2 x - 5}$
163671	Write in Standard Form	-3x^5-x-4x^4-1/10+2x^3	$- 3 x^{5} - x - 4 x^{4} - \frac{1}{10} + 2 x^{3}$
163672	Simplify	3x-2x^2+4-x^2+x	$3 x - 2 x^{2} + 4 - x^{2} + x$
163673	Simplify	x^2y^5(-8x^4y^3)	$x^{2} y^{5} (- 8 x^{4} y^{3})$
163674	Simplify	((x^2-81)/(x-9))÷((x^2-17x+72)/(x-8))	$\frac{x^{2} - 81}{x - 9} \div \frac{x^{2} - 17 x + 72}{x - 8}$
163675	Factor	y=x^2-2x-8	$y = x^{2} - 2 x - 8$
163676	Find the Excluded Values	((x^2-16)/(x^2+5x+6))÷((x^2+5x+4)/(x^2-2x-8))	$\frac{x^{2} - 16}{x^{2} + 5 x + 6} \div \frac{x^{2} + 5 x + 4}{x^{2} - 2 x - 8}$
163677	Solve the Inequality for b	10b+7<5b+8	$10 b + 7 < 5 b + 8$
163678	Factor	22mn-33mo+44 no	$22 m n - 33 m o + 44$ no
163679	Combine Like Terms	-4(z+3)-4(5-4z)	$- 4 (z + 3) - 4 (5 - 4 z)$
163680	Simplify	2^(-1/2)	$2^{- \frac{1}{2}}$
163681	Find the Holes in the Graph	f(x)=(5x+5)/(-x^2-2x-1)	$f (x) = \frac{5 x + 5}{- x^{2} - 2 x - 1}$
163682	Simplify	(3xy^8)/(x^2y^8)	$\frac{3 x y^{8}}{x^{2} y^{8}}$
163683	Factor by Grouping	x^4-y^4	$x^{4} - y^{4}$
163684	Solve for c	cube root of 162x^cy^5=3x^2y( cube root of 6y^d)	$\sqrt[3]{162 x^{c} y^{5}} = 3 x^{2} y (\sqrt[3]{6 y^{d}})$
163685	Simplify	(x/2)/2	$\frac{\frac{x}{2}}{2}$
163686	Simplify	-15xy(15x^5y^3)	$- 15 x y (15 x^{5} y^{3})$
163687	Simplify	-15x^3y^5(-11y^4)	$- 15 x^{3} y^{5} (- 11 y^{4})$
163688	Simplify	3x^2-2x+4x^4-3x^2+3x	$3 x^{2} - 2 x + 4 x^{4} - 3 x^{2} + 3 x$
163689	Simplify	(x+3)-((x+2)(x^3-1))	$(x + 3) - ((x + 2) (x^{3} - 1))$
163690	Simplify	((x+3)/(x^2-9))÷((x^2)/(x^2-9x+18))	$\frac{x + 3}{x^{2} - 9} \div \frac{x^{2}}{x^{2} - 9 x + 18}$
163691	Factor	(x+1)^3-64y^3	${(x + 1)}^{3} - 64 y^{3}$
163692	Solve for x	-5-(2x)/(x-4)=-8/(x-4)	$- 5 - \frac{2 x}{x - 4} = - \frac{8}{x - 4}$
163693	Solve for x	4x=-4r+2d	$4 x = - 4 r + 2 d$
163694	Find the Holes in the Graph	f(x)=(5x-25)/(x^2-6x+5)	$f (x) = \frac{5 x - 25}{x^{2} - 6 x + 5}$
163695	Find the Inverse	f(x)=(x+4)^(1/4)	$f (x) = {(x + 4)}^{\frac{1}{4}}$
163696	Simplify	x square root of 5xy^4+ square root of 405x^3y^4- square root of 80x^3y^4	$x \sqrt{5 x y^{4}} + \sqrt{405 x^{3} y^{4}} - \sqrt{80 x^{3} y^{4}}$
163697	Solve the System of Inequalities	15>2x-9>-23	$15 > 2 x - 9 > - 23$
163698	Solve for z	(6z+6)^2=0	${(6 z + 6)}^{2} = 0$
163699	Simplify	11x(-12xy^2)	$11 x (- 12 x y^{2})$
163700	Find the Axis of Symmetry	y=(x-2)^2	$y = {(x - 2)}^{2}$