Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
26101	Evaluate	(1+1/y)/(1-1/y)	$\frac{1 + \frac{1}{y}}{1 - \frac{1}{y}}$
26102	Simplify	(2p)/( square root of 16p^5)	$\frac{2 p}{\sqrt{16 p^{5}}}$
26103	Simplify	(sin(x)-csc(x))^2	${(\sin (x) - \csc (x))}^{2}$
26104	Simplify	1/(2-4)	$\frac{1}{2 - 4}$
26105	Evaluate	(14x^0y^-2)/(2^-1z^-3)	$\frac{14 x^{0} y^{- 2}}{2^{- 1} z^{- 3}}$
26106	Simplify	((a^2-3ab)/(3b))÷(7a-21b)	$\frac{a^{2} - 3 a b}{3 b} \div (7 a - 21 b)$
26107	Write in Standard Form	(x-0)^2	${(x - 0)}^{2}$
26108	Find dy/dx	e^(x+y)=xy	$e^{x + y} = x y$
26109	Simplify	(8a^2-6-8a)+(1-6a-7a^2)	$(8 a^{2} - 6 - 8 a) + (1 - 6 a - 7 a^{2})$
26110	Multiply	(3a)(5x^2+8a)	$(3 a) (5 x^{2} + 8 a)$
26111	Solve for x	2x+x/3=7/3	$2 x + \frac{x}{3} = \frac{7}{3}$
26112	Evaluate	-5/(1^2)	$- \frac{5}{1^{2}}$
26113	Solve the Inequality for c	-c/6>=7	$- \frac{c}{6} \geq 7$
26114	Solve the Function Operation	f(x)=6x^(1/3)-2 ; find f^-1(x)	$f (x) = 6 x^{\frac{1}{3}} - 2$ ; find $f^{- 1} (x)$
26115	Convert to a Simplified Fraction	50% as a fraction	$50 %$ as a fraction
26116	Evaluate the Limit	limit as x approaches infinity of ce^(-x)	$lim_{x \to \infty} c e^{- x}$
26117	Solve for x	3=4-5 cube root of x^8	$3 = 4 - 5 \sqrt[3]{x^{8}}$
26118	Find the Domain	f(x)=(x-4)/(6-3x)+ square root of 6-2x	$f (x) = \frac{x - 4}{6 - 3 x} + \sqrt{6 - 2 x}$
26119	Graph	f(x)=(5x+25)/(x^2+x-20)	$f (x) = \frac{5 x + 25}{x^{2} + x - 20}$
26120	Evaluate	(2/(2^2))^2	${(\frac{2}{2^{2}})}^{2}$
26121	Solve the Inequality for r	r/15>=-3	$\frac{r}{15} \geq - 3$
26122	Evaluate	2(1)^(-5/2)	$2 {(1)}^{- \frac{5}{2}}$
26123	Solve the Rational Equation for m	5/m=8/(2m-6)	$\frac{5}{m} = \frac{8}{2 m - 6}$
26124	Solve the System of Equations	x+2y-5z=10 y+2z=2 z=-1	$x + 2 y - 5 z = 10$ $y + 2 z = 2$ $z = - 1$
26125	Rationalize the Denominator	5/( square root of 3+2)	$\frac{5}{\sqrt{3} + 2}$
26126	Solve for a	((5^a)^2)/(5^3)=125	$\frac{{(5^{a})}^{2}}{5^{3}} = 125$
26127	Simplify	- cube root of -125m^9b^18c^24	$- \sqrt[3]{- 125 m^{9} b^{18} c^{24}}$
26128	Simplify	((18a^3b^-2)/(21a^-2b^-4))^-3	${(\frac{18 a^{3} b^{- 2}}{21 a^{- 2} b^{- 4}})}^{- 3}$
26129	Evaluate	(3x-6)/(x+4)>=0	$\frac{3 x - 6}{x + 4} \geq 0$
26130	Simplify	(7+3i)+2+(5-6i)	$(7 + 3 i) + 2 + (5 - 6 i)$
26131	Find the Remainder	(-19x^2+6x^3+20)÷(x^2-2x-3)	$(- 19 x^{2} + 6 x^{3} + 20) \div (x^{2} - 2 x - 3)$
26132	Find the Antiderivative	(x+1)(x+2)	$(x + 1) (x + 2)$
26133	Find the Maximum/Minimum Value	f(x)=x^3+1	$f (x) = x^{3} + 1$
26134	Divide	(9/11)÷(-3/2)	$\frac{9}{11} \div (- \frac{3}{2})$
26135	Solve the System of Inequalities	y<3 y<=-x+1	$y < 3$ $y \leq - x + 1$
26136	Solve the Function Operation	f(x)=x+5 g(x)=-x^2-5x Find f(g(-4))	$f (x) = x + 5$ $g (x) = - x^{2} - 5 x$ Find $f (g (- 4))$
26137	Evaluate the Integral	integral from 2 to 3 of (t^2-9)(4-t^2) with respect to t	$\int_{2}^{3} (t^{2} - 9) (4 - t^{2}) d t$
26138	Find the Domain	g(t)=( natural log of pi-\|t\|)/(sin(t)-1/2)	$g (t) = \frac{\ln (π - \| t \|)}{\sin (t) - \frac{1}{2}}$
26139	Simplify	3a+3+5a+30-a	$3 a + 3 + 5 a + 30 - a$
26140	Rationalize the Denominator	square root of (9x)/2	$\sqrt{\frac{9 x}{2}}$
26141	Simplify	6/( square root of -2)	$\frac{6}{\sqrt{- 2}}$
26142	Evaluate	5((5^5)/(5^3))	$5 (\frac{5^{5}}{5^{3}})$
26143	Rationalize the Denominator	( fourth root of x^2)/( cube root of x^3)	$\frac{\sqrt[4]{x^{2}}}{\sqrt[3]{x^{3}}}$
26144	Evaluate	25% of 16	$25 %$ of $16$
26145	Find the Maximum/Minimum Value	f(x)=10x^2+x	$f (x) = 10 x^{2} + x$
26146	Solve the Inequality for x	21>12+x	$21 > 12 + x$
26147	Divide Using Long Polynomial Division	16x^3+24x^2+29x+6 divided by 4x+1	$16 x^{3} + 24 x^{2} + 29 x + 6$ divided by $4 x + 1$
26148	Graph	f(x)=(1/x)^2	$f (x) = {(\frac{1}{x})}^{2}$
26149	Solve for x	(x(x+1))/(x+4)=0	$\frac{x (x + 1)}{x + 4} = 0$
26150	Convert to a Percentage	72 is what percent of 45 ?	$72$ is what percent of $45$ ?
26151	Simplify	(4x+12y)/(6x)	$\frac{4 x + 12 y}{6 x}$
26152	Evaluate	10% of 90	$10 %$ of $90$
26153	Evaluate the Integral	integral of 1/((5x-3)(3-4x)) with respect to x	$\int \frac{1}{(5 x - 3) (3 - 4 x)} d x$
26154	Simplify	2x+6x^2-10+4x^2-3x+(-6)	$2 x + 6 x^{2} - 10 + 4 x^{2} - 3 x + (- 6)$
26155	Solve the Inequality for n	n-1>3	$n - 1 > 3$
26156	Find the Asymptotes	((x+6)(x+9))/(3(x+10))	$\frac{(x + 6) (x + 9)}{3 (x + 10)}$
26157	Solve the Inequality for p	-14<=-7p	$- 14 \leq - 7 p$
26158	Graph	y=x^2 and y=x^2-9	$y = x^{2}$ and $y = x^{2} - 9$
26159	Solve the Inequality for a	3 square root of a>=12	$3 \sqrt{a} \geq 12$
26160	Simplify	(6x-4x^2-7x^3)+(9x^2-5x)	$(6 x - 4 x^{2} - 7 x^{3}) + (9 x^{2} - 5 x)$
26161	Solve the Rational Equation for x	7/(x+7)+1=-x/(x+7)	$\frac{7}{x + 7} + 1 = - \frac{x}{x + 7}$
26162	Simplify	(-3m^-2)^2(-2m^4n^2)^-1	${(- 3 m^{- 2})}^{2} {(- 2 m^{4} n^{2})}^{- 1}$
26163	Graph	(x)=\|x\|	$(x) = \| x \|$
26164	Find the Integral	x/(e^x)	$\frac{x}{e^{x}}$
26165	Find All Complex Solutions	2x^2-4x+5=-3	$2 x^{2} - 4 x + 5 = - 3$
26166	Solve for x	1/8=x^-3	$\frac{1}{8} = x^{- 3}$
26167	Graph	tan(theta)<0 , sin(theta)<0	$\tan (θ) < 0$ , $\sin (θ) < 0$
26168	Find dy/dx	y=cos(xy)	$y = \cos (x y)$
26169	Simplify	(10a^2b-8a+5a^2b-2ab)-(ab^2-6ab-2a+3ab)	$(10 a^{2} b - 8 a + 5 a^{2} b - 2 a b) - (a b^{2} - 6 a b - 2 a + 3 a b)$
26170	Write in Exponential Form	cube root of x- cube root of x^4	$\sqrt[3]{x} - \sqrt[3]{x^{4}}$
26171	Simplify	-3(3x^2+5x+15)+13	$- 3 (3 x^{2} + 5 x + 15) + 13$
26172	Simplify	( cube root of 7- cube root of 10)( cube root of 49+ cube root of 70+ cube root of 100)	$(\sqrt[3]{7} - \sqrt[3]{10}) (\sqrt[3]{49} + \sqrt[3]{70} + \sqrt[3]{100})$
26173	Find the Domain and Range	f(x) = log base 1/3 of x+1-2	$f (x) = \log_{\frac{1}{3}} (x + 1) - 2$
26174	Find the Derivative - d/dx	y=(1-x)^2sinh(2x)	$y = {(1 - x)}^{2} \sinh (2 x)$
26175	Solve for k	3(4k-1/3)=12k-1	$3 (4 k - \frac{1}{3}) = 12 k - 1$
26176	Solve the Rational Equation for x	2=(1+ square root of 29-4x)/-3	$2 = \frac{1 + \sqrt{29 - 4 x}}{- 3}$
26177	Find the Asymptotes	f(x)=(x(x+2))/(x^2-2x)	$f (x) = \frac{x (x + 2)}{x^{2} - 2 x}$
26178	Simplify	p(p+2)-3p(p-5)	$p (p + 2) - 3 p (p - 5)$
26179	Solve for m	P=(RT)/mV for m	$P = \frac{R T}{m V}$ for $m$
26180	Divide	(5x^2y^4)÷10x^2y	$5 x^{2} y^{4} \div 10 x^{2} y$
26181	Solve for t	14.2=2(-5.8+t)	$14.2 = 2 (- 5.8 + t)$
26182	Use Logarithmic Differentiation to Find the Derivative	j(x)=(sin(2x)^5)/(cos(2x)^5)	$j (x) = \frac{\sin^{5} (2 x)}{\cos^{5} (2 x)}$
26183	Find the Domain and Range	k(x)=x+4 if x<-1; 5 if -1=2	$k (x) = {\begin{cases} x + 4 & x < - 1 \\ 5 & - 1 = 2 \end{cases}$
26184	Graph	The polynomial function f(x) is graphed below. Fill in the form below regarding the features of this graph.	The polynomial function $f (x)$ is graphed below. Fill in the form below regarding the features of this graph.
26185	Find the Antiderivative	f(x)=4/(x^5)-(1-2x)^3	$f (x) = \frac{4}{x^{5}} - {(1 - 2 x)}^{3}$
26186	Simplify	(5x^2-10xy)/(2(2y-x)^3)	$\frac{5 x^{2} - 10 x y}{2 {(2 y - x)}^{3}}$
26187	Graph	F(x)=1/((x+1)(x-2)(x-3))	$F (x) = \frac{1}{(x + 1) (x - 2) (x - 3)}$
26188	Evaluate the Integral	integral from 1 to 4 of ( square root of y-y)/(y^2) with respect to y	$\int_{1}^{4} \frac{\sqrt{y} - y}{y^{2}} d y$
26189	Evaluate the Integral	integral of ((x-8)/(x+12)) with respect to x	$\int (\frac{x - 8}{x + 12}) d x$
26190	Simplify	square root of (4(27e^13x))/(3e^7x^-3)	$\sqrt{\frac{4 (27 e^{13} x)}{3 e^{7} x^{- 3}}}$
26191	Simplify	(x^2)/(x^2-36)-(x+42)/(x^2-36)	$\frac{x^{2}}{x^{2} - 36} - \frac{x + 42}{x^{2} - 36}$
26192	Convert to a Decimal	45deg to rad	$45$ degrees to radians
26193	Solve for w	15w-2w+29=5w-27	$15 w - 2 w + 29 = 5 w - 27$
26194	Evaluate	-( square root of 3)/5+10.8	$- \frac{\sqrt{3}}{5} + 10.8$
26195	Find the Concavity	1/6x^4+5x^3+50x^2	$\frac{1}{6} x^{4} + 5 x^{3} + 50 x^{2}$
26196	Simplify	square root of 2/5* square root of 2/3	$\sqrt{\frac{2}{5}} \cdot \sqrt{\frac{2}{3}}$
26197	Graph Using a Table of Values	y=cos(x)	$y = \cos (x)$
26198	Evaluate	150 degrees *pi/180	$150 ° \cdot \frac{π}{180}$
26199	Graph	y=-1/3 square root of -x+2	$y = - \frac{1}{3} \sqrt{- x} + 2$
26200	Simplify	cube root of 729(x-7)^6	$\sqrt[3]{729 {(x - 7)}^{6}}$