Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193601	Find the Domain and Range	f(x)=y	$f (x) = y$
193602	Solve for r	P=A/(1+rt) for r	$P = \frac{A}{1 + r t}$ for $r$
193603	Graph	1>=x/-5	$1 \geq \frac{x}{- 5}$
193604	Divide Using Synthetic Division	(2x^4-x^3-15x^2+3x)÷(x+3)	$(2 x^{4} - x^{3} - 15 x^{2} + 3 x) \div (x + 3)$
193605	Solve for x	1/x+2/(x+2)=1/(3x)	$\frac{1}{x} + \frac{2}{x + 2} = \frac{1}{3 x}$
193606	Evaluate	cos(arctan( square root of 3))	$\cos (\arctan (\sqrt{3}))$
193607	Simplify	-9/12-(-7/4)	$- \frac{9}{12} - (- \frac{7}{4})$
193608	Graph	graph y=2x	graph $y = 2 x$
193609	Solve for x	0=2^x	$0 = 2^{x}$
193610	Solve the Inequality for c	-7<2c-1<10	$- 7 < 2 c - 1 < 10$
193611	Simplify	square root of -10 square root of -10+ square root of -3 square root of -27	$\sqrt{- 10} \sqrt{- 10} + \sqrt{- 3} \sqrt{- 27}$
193612	Evaluate the Function	f(x) = square root of x at x=9	$f (x) = \sqrt{x}$ at $x = 9$
193613	Find the Zeros Using Descartes' Rule of Signs	g(x)=-x^4-2x^3+7x^2+4x+1	$g (x) = - x^{4} - 2 x^{3} + 7 x^{2} + 4 x + 1$
193614	Evaluate	32/3pi	$\frac{32}{3} π$
193615	Solve the Inequality for y	1/2(x+2)+3y<8	$\frac{1}{2} (x + 2) + 3 y < 8$
193616	Solve for x	9x-(5x+1)-(2+8x-(7x-5))+9x=0	$9 x - (5 x + 1) - (2 + 8 x - (7 x - 5)) + 9 x = 0$
193617	Solve for r	5(4+r)=1/2(40+10r)	$5 (4 + r) = \frac{1}{2} (40 + 10 r)$
193618	Find the Product	(3ab-c)(3ab+c)	$(3 a b - c) (3 a b + c)$
193619	Simplify	(5 square root of 50-3 square root of 200+3 square root of 18)^2	${(5 \sqrt{50} - 3 \sqrt{200} + 3 \sqrt{18})}^{2}$
193620	Solve the System of Equations	y=6x y=x^2+5	$y = 6 x$ $y = x^{2} + 5$
193621	Solve the System of Equations	x+y=3 y=9	$x + y = 3$ $y = 9$
193622	Evaluate	i^(20+1)	$i^{20 + 1}$
193623	Factor	x^5-4x^3-x^2+4	$x^{5} - 4 x^{3} - x^{2} + 4$
193624	Divide	5a^2+6a-9 into 25a^4+19a^2-a-78	$5 a^{2} + 6 a - 9$ into $25 a^{4} + 19 a^{2} - a - 78$
193625	Graph	f(x)=2 if x<=-1; x^2 if x>-1	$f (x) = {\begin{cases} 2 & x \leq - 1 \\ x^{2} & x > - 1 \end{cases}$
193626	Evaluate	\|8\|+\|-3\|-7*-5	$\| 8 \| + \| - 3 \| - 7 \cdot - 5$
193627	Solve the Inequality for y	y/4+2-(y+1)/6>=(y+5)/9	$\frac{y}{4} + 2 - \frac{y + 1}{6} \geq \frac{y + 5}{9}$
193628	Simplify	((a+b)^9)/((a+b)^4)	$\frac{{(a + b)}^{9}}{{(a + b)}^{4}}$
193629	Simplify	(3x^0y^4)(2x^2y)^3	$(3 x^{0} y^{4}) {(2 x^{2} y)}^{3}$
193630	Solve the Absolute Value Inequality for x	9\|9-8x\|=2x+3	$9 \| 9 - 8 x \| = 2 x + 3$
193631	Solve for x	1/(x^2-3)=y+1	$\frac{1}{x^{2} - 3} = y + 1$
193632	Graph	f(x)=3 square root of x+1 if 0<=x<3; 5-x if 3<=x<=5	$f (x) = {\begin{cases} 3 \sqrt{x + 1} & 0 \leq x < 3 \\ 5 - x & 3 \leq x \leq 5 \end{cases}$
193633	Solve for x	(3x)/5+x/9=-1	$\frac{3 x}{5} + \frac{x}{9} = - 1$
193634	Solve for x	-1/2+2/3(-6x-6)=-4	$- \frac{1}{2} + \frac{2}{3} (- 6 x - 6) = - 4$
193635	Factor	f(x)=x^4+x^3-7x^2-x+6	$f (x) = x^{4} + x^{3} - 7 x^{2} - x + 6$
193636	Find the x and y Intercepts	f(x)=1/2(x-2)(x+6)	$f (x) = \frac{1}{2} (x - 2) (x + 6)$
193637	Solve for a	13^2=a^2+12^2	$13^{2} = a^{2} + 12^{2}$
193638	Factor	-x^3+3x-2	$- x^{3} + 3 x - 2$
193639	Find the Inverse	f(x)=((x^(1/7))/5)^5	$f (x) = {(\frac{x^{\frac{1}{7}}}{5})}^{5}$
193640	Simplify	-2/(-2/x)	$- \frac{2}{- \frac{2}{x}}$
193641	Solve for r	(r-3)(r+6)=0	$(r - 3) (r + 6) = 0$
193642	Factor	x^2+ square root of x	$x^{2} + \sqrt{x}$
193643	Solve for r	-4r+4>=3r-4	$- 4 r + 4 \geq 3 r - 4$
193644	Solve for x	10+(2-x)/3=7	$10 + \frac{2 - x}{3} = 7$
193645	Solve the Inequality for x	(7-3x)/6+(5-2x)/3+(3-x)/2<1	$\frac{7 - 3 x}{6} + \frac{5 - 2 x}{3} + \frac{3 - x}{2} < 1$
193646	Write as a Single Logarithm	2( log base 3 of 20- log base 3 of 4)	$2 (\log_{3} (20) - \log_{3} (4))$
193647	Factor	-5x(a+c)+2y(a+c)	$- 5 x (a + c) + 2 y (a + c)$
193648	Convert to a Simplified Fraction	0.8 as a fraction	$0.8$ as a fraction
193649	Solve the Inequality for x	-2x+8+5x>2x+1	$- 2 x + 8 + 5 x > 2 x + 1$
193650	Solve for T	M=2TH+2TA	$M = 2 T H + 2 T A$
193651	Solve for x	natural log of x+ natural log of x-4 = natural log of 3x-10	$\ln (x) + \ln (x - 4) = \ln (3 x - 10)$
193652	Solve for x	3/2(2x+4)=x+19	$\frac{3}{2} (2 x + 4) = x + 19$
193653	Solve for y	10y-5(1+y)=3(2y-2)-20	$10 y - 5 (1 + y) = 3 (2 y - 2) - 20$
193654	Solve for C	A=2BD+2BC+2DC	$A = 2 B D + 2 B C + 2 D C$
193655	Solve the System of Equations	-1/5x+1/3y=-2 5/6x-1/2y=-5	$- \frac{1}{5} x + \frac{1}{3} y = - 2$ $\frac{5}{6} x - \frac{1}{2} y = - 5$
193656	Divide	(36x^3-96x^2+48x)/(12x)	$\frac{36 x^{3} - 96 x^{2} + 48 x}{12 x}$
193657	Simplify	(3 square root of 2)/2* square root of 2	$\frac{3 \sqrt{2}}{2} \cdot \sqrt{2}$
193658	Simplify	(-15xy^4)*(-1/3xy^3)	$(- 15 x y^{4}) \cdot (- \frac{1}{3} x y^{3})$
193659	Solve for k	-k+4(k+1)=2k	$- k + 4 (k + 1) = 2 k$
193660	Graph	(-pi/2,pi/2)	$(- \frac{π}{2}, \frac{π}{2})$
193661	Simplify	(x^2-26x+169)/(1859-11x^2)	$\frac{x^{2} - 26 x + 169}{1859 - 11 x^{2}}$
193662	Solve for x	-16-6x=-6(x+3)	$- 16 - 6 x = - 6 (x + 3)$
193663	Solve for x	(8- square root of x)^2=(4+ square root of x)^2	${(8 - \sqrt{x})}^{2} = {(4 + \sqrt{x})}^{2}$
193664	Solve the Rational Equation for x	(x-3)/(2x+10)+2x-12=(x^2+3x-18)/(2x+10)	$\frac{x - 3}{2 x + 10} + 2 x - 12 = \frac{x^{2} + 3 x - 18}{2 x + 10}$
193665	Find the x and y Intercepts	1/9x^4-4/9x^3	$\frac{1}{9} x^{4} - \frac{4}{9} x^{3}$
193666	Solve for Vᵢ	d=V_it+1/2at^2	$d = V_{i} t + \frac{1}{2} a t^{2}$
193667	Simplify the Radical Expression	square root of 200m^4n	$\sqrt{200 m^{4} n}$
193668	Graph	y<=-x+4 and y>5	$y \leq - x + 4$ and $y > 5$
193669	Solve the Inequality for x	x^2-64>0	$x^{2} - 64 > 0$
193670	Solve the Inequality for x	(x+5)(x^2-4)(x-6)<0	$(x + 5) (x^{2} - 4) (x - 6) < 0$
193671	Solve for x	arccos(cos(x))=x	$\arccos (\cos (x)) = x$
193672	Solve for m	2/3m+a=a+r	$\frac{2}{3} m + a = a + r$
193673	Find f(g(x))	f(x) = square root of x and g(x)=x-4	$f (x) = \sqrt{x}$ and $g (x) = x - 4$
193674	Simplify	(-2/3)^-2	${(- \frac{2}{3})}^{- 2}$
193675	Solve for t	t^2+15t=-36	$t^{2} + 15 t = - 36$
193676	Evaluate	f(x-3)	$f (x - 3)$
193677	Simplify	7 square root of 5x^3*9x square root of 24x	$7 \sqrt{5 x^{3}} \cdot 9 x \sqrt{24 x}$
193678	Find the Perpendicular Line	(1,6) and perpendicular to 3x+7y=1	$(1, 6)$ and perpendicular to $3 x + 7 y = 1$
193679	Evaluate	4(16÷2+6)	$4 (16 \div 2 + 6)$
193680	Simplify	2x+3x+3+4x^2+10+x	$2 x + 3 x + 3 + 4 x^{2} + 10 + x$
193681	Convert to Interval Notation	x>8 or x<=-3	$x > 8$ or $x \leq - 3$
193682	Simplify	(x^5+7x^7+5x)/(x^5)	$\frac{x^{5} + 7 x^{7} + 5 x}{x^{5}}$
193683	Find the Distance Between Two Points	(3,-8) and (-6,4)	$(3, - 8)$ and $(- 6, 4)$
193684	Solve the Inequality for x	8x^2>=3+10x	$8 x^{2} \geq 3 + 10 x$
193685	Find the Inverse	f^-1(x)=(x-1)/2	$f^{- 1} (x) = \frac{x - 1}{2}$
193686	Solve for p	5(12-3p)=15p+60	$5 (12 - 3 p) = 15 p + 60$
193687	Graph	p(x)=(x+2)(2x-3)(x-3)	$p (x) = (x + 2) (2 x - 3) (x - 3)$
193688	Solve for x	A=x+y-5	$A = x + y - 5$
193689	Solve the Inequality for y	12<y(8-y)	$12 < y (8 - y)$
193690	Simplify	(-4x^2+9x^3+2x)+(-6x^3+7x-2)	$(- 4 x^{2} + 9 x^{3} + 2 x) + (- 6 x^{3} + 7 x - 2)$
193691	Find the x and y Intercepts	(2x^2+6x)/(-4x^2+8x)	$\frac{2 x^{2} + 6 x}{- 4 x^{2} + 8 x}$
193692	Graph	a(x) = square root of x+1-3	$a (x) = \sqrt{x + 1} - 3$
193693	Solve the Inequality for r	21r<7	$21 r < 7$
193694	Solve for u	8u-1=6u	$8 u - 1 = 6 u$
193695	Simplify	square root of -9+3 square root of -16	$\sqrt{- 9} + 3 \sqrt{- 16}$
193696	Factor	a^5b-64ab	$a^{5} b - 64 a b$
193697	Factor	x^3+2x^2-x-2=0	$x^{3} + 2 x^{2} - x - 2 = 0$
193698	Subtract	1/x-1/y	$\frac{1}{x} - \frac{1}{y}$
193699	Convert to a Decimal	495deg	$495$ degrees
193700	Solve the Inequality for x	x/5>=-2	$\frac{x}{5} \geq - 2$