Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210501	Simplify	(-x^2+5x+2)+(6x^2+x)	$(- x^{2} + 5 x + 2) + (6 x^{2} + x)$
210502	Graph	y<(x^2-5x+4)/(x-4)	$y < \frac{x^{2} - 5 x + 4}{x - 4}$
210503	Solve the System of Equations	x+2y+3z=0 2x+y+3z=0 3x+2z=1	$x + 2 y + 3 z = 0$ $2 x + y + 3 z = 0$ $3 x + 2 z = 1$
210504	Graph	C=(5f-160)/9	$C = \frac{5 f - 160}{9}$
210505	Subtract	(7.8x-3.4y+z)-(9.2x-8.2y+3.1z)	$(7.8 x - 3.4 y + z) - (9.2 x - 8.2 y + 3.1 z)$
210506	Solve for b	2b+8-5b+3=13+8b-5	$2 b + 8 - 5 b + 3 = 13 + 8 b - 5$
210507	Solve for n	(3n+7)^(1/4)=4	${(3 n + 7)}^{\frac{1}{4}} = 4$
210508	Solve for v	8/3=(v-9)/(7v+4)	$\frac{8}{3} = \frac{v - 9}{7 v + 4}$
210509	Divide	(x^6-4x^4+3x^2)/(5x^2)	$\frac{x^{6} - 4 x^{4} + 3 x^{2}}{5 x^{2}}$
210510	Simplify	(3x+2y+z)^2	${(3 x + 2 y + z)}^{2}$
210511	Simplify	(a+b)^-3(a+b)^2(a+b)^-2	${(a + b)}^{- 3} {(a + b)}^{2} {(a + b)}^{- 2}$
210512	Simplify	((24x^5yz^-2)/(3x^2y^3z^4))^2	${(\frac{24 x^{5} y z^{- 2}}{3 x^{2} y^{3} z^{4}})}^{2}$
210513	Write the Fraction in Simplest Form	(4b^-8)/((-3b^5)^5)	$\frac{4 b^{- 8}}{{(- 3 b^{5})}^{5}}$
210514	Multiply	2*2 square root of 3	$2 \cdot 2 \sqrt{3}$
210515	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x-1	$f (x) = x - 1$
210516	Simplify	(-5i)+(6i)-(-4+7i)	$(- 5 i) + (6 i) - (- 4 + 7 i)$
210517	Solve for x	-3.1x+7-7.4x=1.5x-6(x-3/2)	$- 3.1 x + 7 - 7.4 x = 1.5 x - 6 (x - \frac{3}{2})$
210518	Simplify	(3+5i)(2-7i^4)	$(3 + 5 i) (2 - 7 i^{4})$
210519	Simplify	square root of 16x^3 square root of 4x	$\sqrt{16 x^{3}} \sqrt{4 x}$
210520	Solve for x	Solve 3^(x+6)=3^4	Solve $3^{x + 6} = 3^{4}$
210521	Find the Degree	9y^4-8x^2+3x^5	$9 y^{4} - 8 x^{2} + 3 x^{5}$
210522	Solve the Inequality for x	(x+2)/2>=-7-x/2	$\frac{x + 2}{2} \geq - 7 - \frac{x}{2}$
210523	Simplify	5/(4x^2)+3/(8x)	$\frac{5}{4 x^{2}} + \frac{3}{8 x}$
210524	Solve for m	fourth root of (7^2)/m=( fourth root of 7^2)/( fourth root of m)	$\sqrt[4]{\frac{7^{2}}{m}} = \frac{\sqrt[4]{7^{2}}}{\sqrt[4]{m}}$
210525	Rationalize the Denominator	(6 square root of x)/( square root of 14)	$\frac{6 \sqrt{x}}{\sqrt{14}}$
210526	Simplify	(3ab-2de)^3	${(3 a b - 2 d e)}^{3}$
210527	Find the Degree	c^4 square root of 5+b^3-cb^4	$c^{4} \sqrt{5} + b^{3} - c b^{4}$
210528	Multiply	e^(2x)*e^(2x)	$e^{2 x} \cdot e^{2 x}$
210529	Convert to a Decimal	pipi/2rad	$π \frac{π}{2}$ radians
210530	Solve for v	5v-6=-3(-2v+7)	$5 v - 6 = - 3 (- 2 v + 7)$
210531	Evaluate	1/( log base 2 of 12)+1/( log base 8 of 12)+1/( log base 9 of 12)	$\frac{1}{\log_{2} (12)} + \frac{1}{\log_{8} (12)} + \frac{1}{\log_{9} (12)}$
210532	Find the Exact Value	sin(pi/4)+sin(pi/4)	$\sin (\frac{π}{4}) + \sin (\frac{π}{4})$
210533	Simplify	square root of 25x^11* cube root of 216x	$\sqrt{25 x^{11}} \cdot \sqrt[3]{216 x}$
210534	Solve for s	\|3s+5\|-3<=-8	$\| 3 s + 5 \| - 3 \leq - 8$
210535	Graph Using a Table of Values	f(x)=4*(1/2)^x	$f (x) = 4 \cdot {(\frac{1}{2})}^{x}$
210536	Solve the Inequality for x	4 square root of x-2>18	$4 \sqrt{x} - 2 > 18$
210537	Solve for x	log base 6 of x> log base 6 of 4-x	$\log_{6} (x) > \log_{6} (4 - x)$
210538	Solve for b	2b+9/5=-11/5	$2 b + \frac{9}{5} = - \frac{11}{5}$
210539	Simplify	8(-1/2x^3y)^2-3y^5-x^6y^2	$8 {(- \frac{1}{2} x^{3} y)}^{2} - 3 y^{5} - x^{6} y^{2}$
210540	Simplify the Radical Expression	( cube root of x* square root of x^3)/( square root of 25x)	$\frac{\sqrt[3]{x} \cdot \sqrt{x^{3}}}{\sqrt{25 x}}$
210541	Evaluate the Function	f(1.5)=(2t(t+1))/(t-1)-(3+t)/(t-1)	$f (1.5) = \frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
210542	Solve the System of Inequalities	7x+3y<=-24 x+3y<=-6	$7 x + 3 y \leq - 24$ $x + 3 y \leq - 6$
210543	Solve for x	(y-a)/b=(x+b)/c	$\frac{y - a}{b} = \frac{x + b}{c}$
210544	Evaluate	sin(30 degrees )^2	$\sin^{2} (30 °)$
210545	Solve for x	10/(x^2+2x-15)=(x^2+10)/5	$\frac{10}{x^{2} + 2 x - 15} = \frac{x^{2} + 10}{5}$
210546	Graph	y>=-x^2+x+6	$y \geq - x^{2} + x + 6$
210547	Find the x and y Intercepts	(4x^2-16)/(-3x^2+6x)	$\frac{4 x^{2} - 16}{- 3 x^{2} + 6 x}$
210548	Find the Excluded Values	((x^2-9x+18)/(x^2+9x+18))÷((x^2-36)/(x^2-9))	$\frac{x^{2} - 9 x + 18}{x^{2} + 9 x + 18} \div \frac{x^{2} - 36}{x^{2} - 9}$
210549	Solve the Inequality for x	2x-2/3>=x-22	$2 x - \frac{2}{3} \geq x - 22$
210550	Simplify	(x^2-1)(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
210551	Multiply	13/5212/5126/50	$\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{26}{50}$
210552	Simplify	(7x)/4*(x^2)/7	$\frac{7 x}{4} \cdot \frac{x^{2}}{7}$
210553	Determine if a Polynomial	4b^4+c+c^3	$4 b^{4} + c + c^{3}$
210554	Solve for t	h=62.5 cube root of t+75.8	$h = 62.5 \sqrt[3]{t} + 75.8$
210555	Simplify	2x^9y^6+12xy*(x^8y^5)	$2 x^{9} y^{6} + 12 x y \cdot (x^{8} y^{5})$
210556	Solve for n	(n+2)^(1/2)=(2n-4)^(1/2)	${(n + 2)}^{\frac{1}{2}} = {(2 n - 4)}^{\frac{1}{2}}$
210557	Evaluate	(x^-1)/(x^-8)	$\frac{x^{- 1}}{x^{- 8}}$
210558	Solve for x	-6x+2=-2^(x+2)+6	$- 6 x + 2 = - 2^{x + 2} + 6$
210559	Simplify	(6ab^3c^4)(-3a^2b^3c)	$(6 a b^{3} c^{4}) (- 3 a^{2} b^{3} c)$
210560	Simplify the Radical Expression	fifth root of z^4z^(-3/2)	$\sqrt[5]{z^{4} z^{- \frac{3}{2}}}$
210561	Find the GCF	x^2+x	$x^{2} + x$
210562	Solve for x	(x-1)/(2x+3)-(2x-1)/(3-2x)=0	$\frac{x - 1}{2 x + 3} - \frac{2 x - 1}{3 - 2 x} = 0$
210563	Solve for x	0=12x-(x-6)	$0 = 12 x - (x - 6)$
210564	Simplify	x^(4/3)=9	$x^{\frac{4}{3}} = 9$
210565	Simplify	-5(7+x)+2 5/6x	$- 5 (7 + x) + 2 \frac{5}{6} x$
210566	Simplify	square root of 3- square root of 9	$\sqrt{3} - \sqrt{9}$
210567	Simplify	(2x^2y^3-4)-(6-x^2+10x^2y^3)+(-2+3x^2)	$(2 x^{2} y^{3} - 4) - (6 - x^{2} + 10 x^{2} y^{3}) + (- 2 + 3 x^{2})$
210568	Solve for x	x square root of 2 = square root of 288	$x \sqrt{2} = \sqrt{288}$
210569	Write the Fraction in Simplest Form	(6b)/(2(b)^3)	$\frac{6 b}{2 {(b)}^{3}}$
210570	Convert to a Decimal	sin(78)deg	$\sin (78)$ degrees
210571	Write as a Single Logarithm	log of x^4+1/2 log of x^4	$\log (x^{4}) + \frac{1}{2} \log (x^{4})$
210572	Simplify	(2f^-3)^3(0.4r)^2	${(2 f^{- 3})}^{3} {(0.4 r)}^{2}$
210573	Find the Exact Value	sec(480 degrees )	$\sec (480 °)$
210574	Evaluate	(10^310^-510^10)/(10^6)	$\frac{10^{3} \cdot 10^{- 5} \cdot 10^{10}}{10^{6}}$
210575	Simplify the Radical Expression	15 root of 8m^3f^9	$\sqrt[15]{8 m^{3} f^{9}}$
210576	Simplify	(a^2-b^2)/(a^2-a+ab-b)	$\frac{(a^{2} - b^{2})}{a^{2} - a + a b - b}$
210577	Convert to Radical Form	1/((2x+3)^(-5/2))	$\frac{1}{{(2 x + 3)}^{- \frac{5}{2}}}$
210578	Solve for x	-x+ square root of 6x+19=2	$- x + \sqrt{6 x + 19} = 2$
210579	Simplify	(6-6i)/(-4i)	$\frac{6 - 6 i}{- 4 i}$
210580	Solve by Completing the Square	2x^2+9x=x-368	$2 x^{2} + 9 x = x - 368$
210581	Solve for x	3(2x-5)=3/5(6x-1)	$3 (2 x - 5) = \frac{3}{5} (6 x - 1)$
210582	Solve the Inequality for x	natural log of x>=3	$\ln (x) \geq 3$
210583	Solve for x	log base 4 of 3x^2-4- log base 4 of 4x+2=1	$\log_{4} (3 x^{2} - 4) - \log_{4} (4 x + 2) = 1$
210584	Solve for x	2- square root of 2x+3=2x-1	$2 - \sqrt{2 x + 3} = 2 x - 1$
210585	Simplify	4 fourth root of 4096x^8y^24	$4 \sqrt[4]{4096 x^{8} y^{24}}$
210586	Simplify	2pr^2(2pr+5p^2r-15p)	$2 p r^{2} (2 p r + 5 p^{2} r - 15 p)$
210587	Solve the Inequality for x	x^2>3x+4	$x^{2} > 3 x + 4$
210588	Simplify	( square root of 25x^3y^4)/(2x^4y)	$\frac{\sqrt{25 x^{3} y^{4}}}{2 x^{4} y}$
210589	Solve for t	S(t)=2t^2-3t+3	$S (t) = 2 t^{2} - 3 t + 3$
210590	Find the Exact Value	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
210591	Simplify	fourth root of (xy)^8	$\sqrt[4]{{(x y)}^{8}}$
210592	Find the Inverse	f(x)=(4x)^(2/3)	$f (x) = {(4 x)}^{\frac{2}{3}}$
210593	Solve the System of Equations	2x+y=8 2x+y=4	$2 x + y = 8$ $2 x + y = 4$
210594	Find the Roots (Zeros)	cos(x/4)+x^2-3x=0	$\cos (\frac{x}{4}) + x^{2} - 3 x = 0$
210595	Divide	(8x^3-x^2+2x-1)/(2x)	$\frac{8 x^{3} - x^{2} + 2 x - 1}{2 x}$
210596	Solve for x	2\|3-3x\|-2<22	$2 \| 3 - 3 x \| - 2 < 22$
210597	Simplify	(4cos(theta)-3sin(theta))^2+(3cos(theta)+4sin(theta))^2	${(4 \cos (θ) - 3 \sin (θ))}^{2} + {(3 \cos (θ) + 4 \sin (θ))}^{2}$
210598	Simplify the Radical Expression	sixth root of 8r^3	$\sqrt[6]{8 r^{3}}$
210599	Multiply	(x^2-2x-15)/(10x+30)*3/(x^2-3x-10)	$\frac{x^{2} - 2 x - 15}{10 x + 30} \cdot \frac{3}{x^{2} - 3 x - 10}$
210600	Multiply	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$