Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214501	Solve for x	(2x-1)/(x+2)-(x+1)/(x-1)-2=0	$\frac{2 x - 1}{x + 2} - \frac{x + 1}{x - 1} - 2 = 0$
214502	Solve the Inequality for q	55-5q>4(7-q)	$55 - 5 q > 4 (7 - q)$
214503	Find the Exact Value	sec(600 degrees )	$\sec (600 °)$
214504	Evaluate	(2x^2y^44x^2y^43x)/(3x^-3y^2)	$\frac{2 x^{2} y^{4} \cdot 4 x^{2} y^{4} \cdot 3 x}{3 x^{- 3} y^{2}}$
214505	Evaluate	square root of 6x-4=3	$\sqrt{6 x - 4} = 3$
214506	Solve for k	3(k-5)=-16	$3 (k - 5) = - 16$
214507	Simplify	(6y(y+3(y-5)))/(y(y-5)(y-1))	$\frac{6 y (y + 3 (y - 5))}{y (y - 5) (y - 1)}$
214508	Simplify	-2i^19-10i^116-10i^17+i^85	$- 2 i^{19} - 10 i^{116} - 10 i^{17} + i^{85}$
214509	Find the First Term	a_n=112(1/4)^(n-1)	$a_{n} = 112 {(\frac{1}{4})}^{n - 1}$
214510	Simplify	2p-(4p^2+1)/(2p)	$2 p - \frac{4 p^{2} + 1}{2 p}$
214511	Graph	y>-x+2 y>=1/3x-2	$y > - x + 2$ $y \geq \frac{1}{3} x - 2$
214512	Write in Standard Form	x=-1/2y^2-4y-7	$x = - \frac{1}{2} y^{2} - 4 y - 7$
214513	Solve for x	x/3-(3x)/4=1/12	$\frac{x}{3} - \frac{3 x}{4} = \frac{1}{12}$
214514	Solve for x	2*4^(x+1)=1/32	$2 \cdot 4^{x + 1} = \frac{1}{32}$
214515	Write with Rational (Fractional) Exponents	(n^4)^(3/2)	${(n^{4})}^{\frac{3}{2}}$
214516	Simplify	(x-1)/(x+1)-(2x+3)/(2x+1)	$\frac{x - 1}{x + 1} - \frac{2 x + 3}{2 x + 1}$
214517	Simplify	(3a)(3a)(3a)(3a)	$(3 a) (3 a) (3 a) (3 a)$
214518	Solve for x	2y=x+6	$2 y = x + 6$
214519	Simplify	(6e^(4x))/(8e)	$\frac{6 e^{4 x}}{8 e}$
214520	Solve for d	749/d*d/749=1	$\frac{749}{d} \cdot \frac{d}{749} = 1$
214521	Simplify	(3e^4)^3	${(3 e^{4})}^{3}$
214522	Simplify	x/( square root of x- square root of y)	$\frac{x}{\sqrt{x} - \sqrt{y}}$
214523	Evaluate	(8-3)^2-25÷5+(5-3)	${(8 - 3)}^{2} - 25 \div 5 + (5 - 3)$
214524	Find the Inverse	y = cube root of x-2-4	$y = \sqrt[3]{x - 2} - 4$
214525	Convert to Radical Form	8(m^(6/5))	$8 (m^{\frac{6}{5}})$
214526	Write the Fraction in Simplest Form	(-5(t^5)^2)/(-5t^-9)	$\frac{- 5 {(t^{5})}^{2}}{- 5 t^{- 9}}$
214527	Solve for x	-1+5/4=(2x+3)/(4x)	$- 1 + \frac{5}{4} = \frac{2 x + 3}{4 x}$
214528	Solve for x	3/(x+2)+(2x)/(x-2)=x/(x-2)	$\frac{3}{x + 2} + \frac{2 x}{x - 2} = \frac{x}{x - 2}$
214529	Factor	sin(x)^2-1	$\sin^{2} (x) - 1$
214530	Find the Domain and Range	f(x)=1/(X^2-2X-3)	$f (x) = \frac{1}{X^{2} - 2 X - 3}$
214531	Find the Roots (Zeros)	F(x)=x^3+2x^2+1	$F (x) = x^{3} + 2 x^{2} + 1$
214532	Solve for q	4 square root of 3q+15=12 square root of q	$4 \sqrt{3 q + 15} = 12 \sqrt{q}$
214533	Solve for x	(x+2)^3+2=3	${(x + 2)}^{3} + 2 = 3$
214534	Find the LCD	x/(x-1) , (x+4)/(x+2)	$\frac{x}{x - 1}$ , $\frac{x + 4}{x + 2}$
214535	Multiply	-4/7(-1/8)	$- \frac{4}{7} (- \frac{1}{8})$
214536	Simplify	((x^3y)/(z^4))^6	${(\frac{x^{3} y}{z^{4}})}^{6}$
214537	Write as a Single Logarithm	log base 2 of 3/25+5 log base 2 of 5+ log base 2 of 27- log base 2 of 125/12- log base 2 of 243	$\log_{2} (\frac{3}{25}) + 5 \log_{2} (5) + \log_{2} (27) - \log_{2} (\frac{125}{12}) - \log_{2} (243)$
214538	Solve for k	8(12-k)=3(k+21)	$8 (12 - k) = 3 (k + 21)$
214539	Solve the Inequality for x	-2x^2+14x>=2x-80	$- 2 x^{2} + 14 x \geq 2 x - 80$
214540	Write in Exponential Form	sixth root of 2* square root of 2	$\sqrt[6]{2} \cdot \sqrt{2}$
214541	Solve for m	4m^2+8m-4=1	$4 m^{2} + 8 m - 4 = 1$
214542	Write in Standard Form	(3x^2+4)-(-5x^2+4x-1)	$(3 x^{2} + 4) - (- 5 x^{2} + 4 x - 1)$
214543	Subtract	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
214544	Solve for x	-(6+2x)=4x-2(x+1)	$- (6 + 2 x) = 4 x - 2 (x + 1)$
214545	Solve the Rational Equation for x	square root of 3x = square root of x+6	$\sqrt{3 x} = \sqrt{x + 6}$
214546	Evaluate	1/(8-1/3)	$\frac{1}{8 - \frac{1}{3}}$
214547	Simplify	((54^(1/2))^(5/3))/(54^(1/2))	$\frac{{(54^{\frac{1}{2}})}^{\frac{5}{3}}}{54^{\frac{1}{2}}}$
214548	Solve for x	2 square root of x = square root of x+9	$2 \sqrt{x} = \sqrt{x + 9}$
214549	Multiply	(5x-15)/(4x^2)*(x^3)/(6x-18)	$\frac{5 x - 15}{4 x^{2}} \cdot \frac{x^{3}}{6 x - 18}$
214550	Find the Inverse	g(x)=-(x^2)/4+7	$g (x) = - \frac{x^{2}}{4} + 7$
214551	Write in Slope-Intercept Form	(-8,-4) and (4,-7)	$(- 8, - 4)$ and $(4, - 7)$
214552	Simplify	(2x)/((x^3)^3*x^3)	$\frac{2 x}{{(x^{3})}^{3} \cdot x^{3}}$
214553	Solve for x	log base 5 of (2x-3)^2=6	$\log_{5} ({(2 x - 3)}^{2}) = 6$
214554	Write as a Single Logarithm	7* log base 4 of u-3* log base 4 of v^2	$7 \cdot \log_{4} (u) - 3 \cdot \log_{4} (v^{2})$
214555	Simplify	fourth root of 144(m+n)^2	$\sqrt[4]{144 {(m + n)}^{2}}$
214556	Find the Domain and Range	f(x)=-1+ square root of x+2	$f (x) = - 1 + \sqrt{x + 2}$
214557	Solve the Inequality for x	(x-8)/x<=3-x	$\frac{x - 8}{x} \leq 3 - x$
214558	Simplify	( fifth root of 2+ fifth root of 3)/(3 fifth root of 17)	$\frac{\sqrt[5]{2} + \sqrt[5]{3}}{3 \sqrt[5]{17}}$
214559	Evaluate the Function	f(x)=-3x^5+14x^4-5x^2+50x-1 at x=5	$f (x) = - 3 x^{5} + 14 x^{4} - 5 x^{2} + 50 x - 1$ at $x = 5$
214560	Find the Degree	arccos(-1/2)	$\arccos (- \frac{1}{2})$
214561	Factor	x^4-8x^2+16=0	$x^{4} - 8 x^{2} + 16 = 0$
214562	Find the Domain and Range	y=arccsc(5x+3/2)	$y = arccsc (5 x + \frac{3}{2})$
214563	Evaluate	2^2*2/(2^4)	$2^{2} \cdot \frac{2}{2^{4}}$
214564	Solve for f	-2(16f-14)=-4f	$- 2 (16 f - 14) = - 4 f$
214565	Find the Roots (Zeros)	(3x-1)(x+3)=x(1+6x)	$(3 x - 1) (x + 3) = x (1 + 6 x)$
214566	Convert to a Decimal	85deg	$85$ degrees
214567	Graph	y=(3x^2-4x+1)/(2x^2+5x-3)	$y = \frac{3 x^{2} - 4 x + 1}{2 x^{2} + 5 x - 3}$
214568	Simplify	((x+3)/x)((x+1)/3)	$(\frac{x + 3}{x}) (\frac{x + 1}{3})$
214569	Evaluate	1/2e^2	$\frac{1}{2} e^{2}$
214570	Evaluate	-2(5)^(1/3)-5(5)^(1/2)	$- 2 {(5)}^{\frac{1}{3}} - 5 {(5)}^{\frac{1}{2}}$
214571	Evaluate	-1/3 cube root of 27	$- \frac{1}{3} \sqrt[3]{27}$
214572	Simplify the Radical Expression	(32x^-30y^-15)^(-4/5)	${(32 x^{- 30} y^{- 15})}^{- \frac{4}{5}}$
214573	Simplify	cube root of 3^4* fifth root of 3^2	$\sqrt[3]{3^{4}} \cdot \sqrt[5]{3^{2}}$
214574	Solve for d	d=-20+11(11)	$d = - 20 + 11 (11)$
214575	Solve the Inequality for x	400>(1/20)^(7x+8)	$400 > {(\frac{1}{20})}^{7 x + 8}$
214576	Simplify	((x-y)/3)/((x-y)/(2x))	$\frac{\frac{x - y}{3}}{\frac{x - y}{2 x}}$
214577	Simplify	2a^3b(5a^4b^2)(-4b^3)	$2 a^{3} b (5 a^{4} b^{2}) (- 4 b^{3})$
214578	Solve for y	y = square root of 5y-4	$y = \sqrt{5 y - 4}$
214579	Solve the Inequality for x	5x>2x+12	$5 x > 2 x + 12$
214580	Solve for n	7/8-1/4n=-3/8	$\frac{7}{8} - \frac{1}{4} n = - \frac{3}{8}$
214581	Solve the Rational Equation for x	square root of x=15	$\sqrt{x} = 15$
214582	Simplify	( square root of 5- square root of 6)/( square root of 3- square root of 10)	$\frac{\sqrt{5} - \sqrt{6}}{\sqrt{3} - \sqrt{10}}$
214583	Simplify	xi^8-yi^6	$x i^{8} - y i^{6}$
214584	Simplify the Radical Expression	1/2 square root of 2+1/3 square root of 2	$\frac{1}{2} \sqrt{2} + \frac{1}{3} \sqrt{2}$
214585	Write in Standard Form	1/2y=1	$\frac{1}{2} y = 1$
214586	Divide	((10m-90)/10)÷((m^2+9m+18)/(7m^2+42m))	$\frac{10 m - 90}{10} \div \frac{m^{2} + 9 m + 18}{7 m^{2} + 42 m}$
214587	Find the Distance Between Two Points	(-12,1) and (12,-1)	$(- 12, 1)$ and $(12, - 1)$
214588	Simplify	(x^2y)^2(4x^3y^7)^3	${(x^{2} y)}^{2} {(4 x^{3} y^{7})}^{3}$
214589	Graph	f(x)=(x-6)/(x^2-6x)	$f (x) = \frac{x - 6}{x^{2} - 6 x}$
214590	Solve for m	m/(m-2)-27/7=2/(m^2-m-2)	$\frac{m}{m - 2} - \frac{27}{7} = \frac{2}{m^{2} - m - 2}$
214591	Solve for n	-(2n-8)=-2	$- (2 n - 8) = - 2$
214592	Find the Exact Value	sin(pi/4)cos(pi/3)+cos(pi/4)sin(pi/3)	$\sin (\frac{π}{4}) \cos (\frac{π}{3}) + \cos (\frac{π}{4}) \sin (\frac{π}{3})$
214593	Find the Degree, Leading Term, and Leading Coefficient	f(s)=6s^5-2s^4+s^2+3	$f (s) = 6 s^{5} - 2 s^{4} + s^{2} + 3$
214594	Find the Function	f(x)=x^n	$f (x) = x^{n}$
214595	Solve for x	(2x)/5+(-1)=x/10	$\frac{2 x}{5} + (- 1) = \frac{x}{10}$
214596	Simplify	(-5+ square root of -25)-(2- square root of -16)	$(- 5 + \sqrt{- 25}) - (2 - \sqrt{- 16})$
214597	Graph	f(x)=x^3+1/2x^2-x-1/2	$f (x) = x^{3} + \frac{1}{2} x^{2} - x - \frac{1}{2}$
214598	Simplify	cube root of 16-3 cube root of 54+2 cube root of 250	$\sqrt[3]{16} - 3 \sqrt[3]{54} + 2 \sqrt[3]{250}$
214599	Find Where Undefined/Discontinuous	y=5/((x+1)^2)	$y = \frac{5}{{(x + 1)}^{2}}$
214600	Find the x and y Intercepts	y=(1/2)^(x-3)	$y = {(\frac{1}{2})}^{x - 3}$