Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236501	Simplify	((2x^3y^-2)^-3)/((3x^4y^2)^-2)	$\frac{{(2 x^{3} y^{- 2})}^{- 3}}{{(3 x^{4} y^{2})}^{- 2}}$
236502	Solve for y	3/4x+1/4y=5 for y	$\frac{3}{4} x + \frac{1}{4} y = 5$ for $y$
236503	Find the Exact Value	cos(175)cos(55)+sin(175)sin(55) ?	$\cos (175) \cdot \cos (55) + \sin (175) \cdot \sin (55)$ ?
236504	Evaluate	( square root of x)^5	${(\sqrt{x})}^{5}$
236505	Evaluate	(2pi)/1*3/(2pi)	$\frac{2 π}{1} \cdot \frac{3}{2 π}$
236506	Graph	y=3 x-y=-4	$y = 3$ $x - y = - 4$
236507	Find the Domain and Range	y=4tan(3x)	$y = 4 \tan (3 x)$
236508	Solve for x	(1/2)^(x+1)=8^x	${(\frac{1}{2})}^{x + 1} = 8^{x}$
236509	Solve for x	x^2+x^2=1	$x^{2} + x^{2} = 1$
236510	Solve for x	2=x/(x+3)-3/(x-5)	$2 = \frac{x}{x + 3} - \frac{3}{x - 5}$
236511	Simplify	6/( square root of 20a^4)	$\frac{6}{\sqrt{20 a^{4}}}$
236512	Evaluate	( square root of x-1)^2	${(\sqrt{x} - 1)}^{2}$
236513	Simplify	2(30+(3^2-4))	$2 (30 + (3^{2} - 4))$
236514	Solve for y	6y^2=-30y	$6 y^{2} = - 30 y$
236515	Simplify	4-1/2(4)^2	$4 - \frac{1}{2} {(4)}^{2}$
236516	Simplify	(10i)/(6i)	$\frac{10 i}{6 i}$
236517	Simplify the Radical Expression	(2x)^(1/5)*(2x)^(-1/5)	${(2 x)}^{\frac{1}{5}} \cdot {(2 x)}^{\frac{- 1}{5}}$
236518	Solve the Rational Equation for x	(x-2)^(2/3)=4	${(x - 2)}^{\frac{2}{3}} = 4$
236519	Simplify the Radical Expression	(144k^2r^14)^(1/2)	${(144 k^{2} r^{14})}^{\frac{1}{2}}$
236520	Simplify	( square root of 8)÷( cube root of 4)	$\sqrt{8} \div \sqrt[3]{4}$
236521	Solve the Rational Equation for x	(x-1)^(5/2)=32	${(x - 1)}^{\frac{5}{2}} = 32$
236522	Evaluate	4r^2-5=59	$4 r^{2} - 5 = 59$
236523	Find the x and y Intercepts	f(x)=(6x+1)(x^2+1)(x+1)^2	$f (x) = (6 x + 1) (x^{2} + 1) {(x + 1)}^{2}$
236524	Solve for u	343=u^3	$343 = u^{3}$
236525	Solve for x	2x+1/2=-5	$2 x + \frac{1}{2} = - 5$
236526	Simplify	(y^2+2y-35)/(y^2-5y-3y+15)	$\frac{y^{2} + 2 y - 35}{y^{2} - 5 y - 3 y + 15}$
236527	Find the Quotient	(y^6)/(y^5)	$\frac{y^{6}}{y^{5}}$
236528	Simplify	cube root of (8x)/64	$\sqrt[3]{\frac{8 x}{64}}$
236529	Write the Fraction in Simplest Form	3/7-1/7	$\frac{3}{7} - \frac{1}{7}$
236530	Solve for x	x-y-10=A	$x - y - 10 = A$
236531	Evaluate	-3÷3(1+-4(-6+5)-(-6+1))	$- 3 \div 3 (1 + - 4 (- 6 + 5) - (- 6 + 1))$
236532	Solve Using the Quadratic Formula	3(t^2-9)^2+16(t^2-9)=-5	$3 {(t^{2} - 9)}^{2} + 16 (t^{2} - 9) = - 5$
236533	Solve the Inequality for y	\|7-2y\|-8>=-3	$\| 7 - 2 y \| - 8 \geq - 3$
236534	Simplify	p(c-d)+c-d	$p (c - d) + c - d$
236535	Solve the Inequality for y	8+3/y>19/y	$8 + \frac{3}{y} > \frac{19}{y}$
236536	Convert to a Percentage	20 is what percent of 50 ?	$20$ is what percent of $50$ ?
236537	Factor	(2x-1)^2-(4x+5)^2	${(2 x - 1)}^{2} - {(4 x + 5)}^{2}$
236538	Graph	y<=(x-3)^2+3	$y \leq {(x - 3)}^{2} + 3$
236539	Simplify	(4^2)/-3	$\frac{4^{2}}{- 3}$
236540	Solve for x	(x-9)-(x+3)=6x	$(x - 9) - (x + 3) = 6 x$
236541	Graph Using a Table of Values	y=1/(x+3)	$y = \frac{1}{x + 3}$
236542	Solve for h	0.81=0.5 square root of h	$0.81 = 0.5 \sqrt{h}$
236543	Simplify	x square root of 2*x square root of 2	$x \sqrt{2} \cdot x \sqrt{2}$
236544	Divide Using Long Polynomial Division	(4x^4-2x^3+x^2-5x+8)÷(x^2-2x-1)	$(4 x^{4} - 2 x^{3} + x^{2} - 5 x + 8) \div (x^{2} - 2 x - 1)$
236545	Simplify	(x^2)/(x+2)+(4x)/(x+2)+4/(x+2)	$\frac{x^{2}}{x + 2} + \frac{4 x}{x + 2} + \frac{4}{x + 2}$
236546	Solve for θ	cos(2theta)+cos(theta)=0	$\cos (2 θ) + \cos (θ) = 0$
236547	Simplify the Radical Expression	square root of 18a^6b^3c^5	$\sqrt{18 a^{6} b^{3} c^{5}}$
236548	Simplify the Radical Expression	fifth root of 10^2* sixth root of 10^5	$\sqrt[5]{10^{2}} \cdot \sqrt[6]{10^{5}}$
236549	Simplify	(2x)/y-6/(3xy)	$\frac{2 x}{y} - \frac{6}{3 x y}$
236550	Simplify	( square root of 6)/2* square root of 3	$\frac{\sqrt{6}}{2} \cdot \sqrt{3}$
236551	Graph	Graph the line y=-2	Graph the line $y = - 2$
236552	Graph	x^2+y^2<16 x^2-y<2	$x^{2} + y^{2} < 16$ $x^{2} - y < 2$
236553	Evaluate	(e^0.01-1)/0.01	$\frac{e^{0.01} - 1}{0.01}$
236554	Solve the System of Inequalities	2x+5>11 or -1/3(x+15)<-10	$2 x + 5 > 11$ or $- \frac{1}{3} (x + 15) < - 10$
236555	Convert to a Decimal	sin(40)deg	$\sin (40)$ degrees
236556	Simplify	(4^-2x^3y^-3)/(2x^0)	$\frac{4^{- 2} x^{3} y^{- 3}}{2 x^{0}}$
236557	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+13x^2+23x+30 is divided by 3x+5	Use the long division method to find the result when $6 x^{3} + 13 x^{2} + 23 x + 30$ is divided by $3 x + 5$
236558	Evaluate	x^4=1	$x^{4} = 1$
236559	Simplify	5/(10 square root of 2)	$\frac{5}{10 \sqrt{2}}$
236560	Find the Product	9(x^2+xy-8y^2)	$9 (x^{2} + x y - 8 y^{2})$
236561	Simplify the Radical Expression	(b^(-3/4))^(2/3)	${(b^{- \frac{3}{4}})}^{\frac{2}{3}}$
236562	Solve for d	-16+7d-4=6(d-5)-9	$- 16 + 7 d - 4 = 6 (d - 5) - 9$
236563	Divide	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
236564	Graph	I LOVE YOU	I LOVE $Y O U$
236565	Simplify	5(8r^4p^2q)^0	$5 {(8 r^{4} p^{2} q)}^{0}$
236566	Multiply	( square root of 5)( square root of 5)	$(\sqrt{5}) (\sqrt{5})$
236567	Find the Exact Value	arctan(tan(-(4pi)/9))	$\arctan (\tan (- \frac{4 π}{9}))$
236568	Simplify	3 square root of 7( square root of 14+4 square root of 56)	$3 \sqrt{7} (\sqrt{14} + 4 \sqrt{56})$
236569	Find the Roots (Zeros)	x^2(x-2)	$x^{2} (x - 2)$
236570	Graph	0=(5pi)/6	$0 = \frac{5 π}{6}$
236571	Simplify	(1/2)/x	$\frac{\frac{1}{2}}{x}$
236572	Find f(g(x))	f(x)=x^2-3x+2 and g(x)=2x+4	$f (x) = x^{2} - 3 x + 2$ and $g (x) = 2 x + 4$
236573	Solve for p	square root of 72-p=p	$\sqrt{72 - p} = p$
236574	Find the x and y Intercepts	(x^2+y^2-8x)^2=64x^2+64y^2	${(x^{2} + y^{2} - 8 x)}^{2} = 64 x^{2} + 64 y^{2}$
236575	Solve for w	4w^2+5=-12w	$4 w^{2} + 5 = - 12 w$
236576	Solve for x	x^13-2x^12-x^11+2x^10=0	$x^{13} - 2 x^{12} - x^{11} + 2 x^{10} = 0$
236577	Simplify	(12xy-8x)/(4x)	$\frac{12 x y - 8 x}{4 x}$
236578	Graph Using a Table of Values	y = cube root of x+2	$y = \sqrt[3]{x + 2}$
236579	Simplify	(-q^3-3q)÷9q^3	$(- q^{3} - 3 q) \div 9 q^{3}$
236580	Solve for y	m=(x-y)/2	$m = \frac{x - y}{2}$
236581	Simplify	-4 root of 16	$\sqrt[- 4]{16}$
236582	Solve the Inequality for k	-20<-5k-15<5	$- 20 < - 5 k - 15 < 5$
236583	Find the Roots (Zeros)	x^2e^x+2xe^x	$x^{2} e^{x} + 2 x e^{x}$
236584	Simplify	(12y+4x^4y)-(-y-6xy^2-8x^4y)-(7x^4y-13xy^2-y)	$(12 y + 4 x^{4} y) - (- y - 6 x y^{2} - 8 x^{4} y) - (7 x^{4} y - 13 x y^{2} - y)$
236585	Convert to Radical Form	(5^(1/5)*0.5^(2/5))	$(5^{\frac{1}{5}} \cdot {0.5}^{\frac{2}{5}})$
236586	Multiply	6/75/111/3	$\frac{6}{7} \cdot \frac{5}{11} \cdot \frac{1}{3}$
236587	Simplify	8+16÷4*5-3	$8 + 16 \div 4 \cdot 5 - 3$
236588	Simplify	square root of 72÷(3+5)+5*2^2	$\sqrt{72 \div (3 + 5)} + 5 \cdot 2^{2}$
236589	Graph	y+1<=2x	$y + 1 \leq 2 x$
236590	Write in Standard Form	log base 3 of x	$\log_{3} (x)$
236591	Factor by Grouping	x^3-2x^2+x	$x^{3} - 2 x^{2} + x$
236592	Solve for x	-bx=-a+c	$- b x = - a + c$
236593	Simplify	sin(240 degrees )	$\sin (240 °)$
236594	Simplify the Radical Expression	(1/64)^(1/6)	${(\frac{1}{64})}^{\frac{1}{6}}$
236595	Find the Inverse	2x^(1/5)-2	$2 x^{\frac{1}{5}} - 2$
236596	Evaluate the Function	f(2)=(1/2)^2	$f (2) = {(\frac{1}{2})}^{2}$
236597	Factor	(6x^2+7x)^2-4(6x^2+7x)-5	${(6 x^{2} + 7 x)}^{2} - 4 (6 x^{2} + 7 x) - 5$
236598	Solve for y	-8x+4y=24 for y	$- 8 x + 4 y = 24$ for $y$
236599	Solve the System of Equations	(x-2)^2+(y-3)^2=16 x+y-1=0	${(x - 2)}^{2} + {(y - 3)}^{2} = 16$ $x + y - 1 = 0$
236600	Solve for x	square root of 3x-11+5=x	$\sqrt{3 x - 11 + 5} = x$