Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189601	Graph	y=f(-5)	$y = f (- 5)$
189602	Graph	8x=-4-4x^2	$8 x = - 4 - 4 x^{2}$
189603	Solve for t	25^2<5^(t-8)	$25^{2} < 5^{t - 8}$
189604	Simplify	(7x)/5-x/5	$\frac{7 x}{5} - \frac{x}{5}$
189605	Find the Equation Using Point-Slope Formula	(-8,-8) and (-7,9)	$(- 8, - 8)$ and $(- 7, 9)$
189606	Graph	x^2>=4	$x^{2} \geq 4$
189607	Simplify	x/(x^(3/2))	$\frac{x}{x^{\frac{3}{2}}}$
189608	Simplify	(-5+8i)+(-5-8i)	$(- 5 + 8 i) + (- 5 - 8 i)$
189609	Multiply	(3x^5y^2c)(15x^3y^9c^3)	$(3 x^{5} y^{2} c) (15 x^{3} y^{9} c^{3})$
189610	Simplify	(sin(theta)^2+cos(theta)^2)/(cos(theta)^2)	$\frac{\sin^{2} (θ) + \cos^{2} (θ)}{\cos^{2} (θ)}$
189611	Evaluate	sin(x)^2+cos(x)^2=1	$\sin^{2} (x) + \cos^{2} (x) = 1$
189612	Solve the Inequality for n	\|n-2\|<=5	$\| n - 2 \| \leq 5$
189613	Graph	sinh(x)	$\sinh (x)$
189614	Solve for m	(9-6i)*m=9-6i	$(9 - 6 i) \cdot m = 9 - 6 i$
189615	Solve for x	(x+3)/7+(x-1)/14=(x+1)/2	$\frac{x + 3}{7} + \frac{x - 1}{14} = \frac{x + 1}{2}$
189616	Find f(g(x))	f(x)=2x-5 , g(x)=3x+7	$f (x) = 2 x - 5$ , $g (x) = 3 x + 7$
189617	Convert to Interval Notation	(2(x-4))/x<-4	$\frac{2 (x - 4)}{x} < - 4$
189618	Simplify	(1+1/(9x))/(3/x+1/(3x^2))	$\frac{1 + \frac{1}{9 x}}{\frac{3}{x} + \frac{1}{3 x^{2}}}$
189619	Solve the Inequality for x	Solve 2^(x+2)>1/32	Solve $2^{x + 2} > \frac{1}{32}$
189620	Find the Inverse	f(x)=-9/(8x)	$f (x) = - \frac{9}{8 x}$
189621	Find the Exact Value	(1/4)^4	${(\frac{1}{4})}^{4}$
189622	Find the Domain and Range	y=3^(2(x-3))	$y = 3^{2 (x - 3)}$
189623	Evaluate	6(7-3y)+6(y+1)	$6 (7 - 3 y) + 6 (y + 1)$
189624	Solve for x	a/(a-x)=b	$\frac{a}{a - x} = b$
189625	Find the Exact Value	1/4(-4^3+10^2)	$\frac{1}{4} (- 4^{3} + 10^{2})$
189626	Simplify	-(5c)^0+7^1-2^2	$- {(5 c)}^{0} + 7^{1} - 2^{2}$
189627	Solve for x	5x-3+x=2x+9	$5 x - 3 + x = 2 x + 9$
189628	Graph	h(x)=1/8x^3-x^2	$h (x) = \frac{1}{8} x^{3} - x^{2}$
189629	Graph	3x^2-27x<=0	$3 x^{2} - 27 x \leq 0$
189630	Simplify	(-10x^2-x+6)+(10x^2-5)	$(- 10 x^{2} - x + 6) + (10 x^{2} - 5)$
189631	Simplify	((4x^7)/(6x))^2	${(\frac{4 x^{7}}{6 x})}^{2}$
189632	Evaluate the Function	f(x)=x^3-x at x=1	$f (x) = x^{3} - x$ at $x = 1$
189633	Convert to Interval Notation	{x\|-3<=x}	${x \| - 3 \leq x}$
189634	Divide	(2.410^-9)/(610^-6)	$\frac{2.4 \times 10^{- 9}}{6 \times 10^{- 6}}$
189635	Simplify	-6+(14+2(60-9(1+3)))	$- 6 + (14 + 2 (60 - 9 (1 + 3)))$
189636	Solve for a	a/3=2/5b-1	$\frac{a}{3} = \frac{2}{5} b - 1$
189637	Simplify	\|(2(14-12))/2\|^3-\|3-6\|	${\| \frac{2 (14 - 12)}{2} \|}^{3} - \| 3 - 6 \|$
189638	Find the Domain and Range	y=(x+3)/(x^2-9)	$y = \frac{x + 3}{x^{2} - 9}$
189639	Divide Using Synthetic Division	(-3x^4)/(x-2)	$\frac{- 3 x^{4}}{x - 2}$
189640	Simplify	(-4x^2y^5z^3)/(2xy^9z^3)	$\frac{- 4 x^{2} y^{5} z^{3}}{2 x y^{9} z^{3}}$
189641	Solve the Rational Equation for x	x/9-2/5=1/3	$\frac{x}{9} - \frac{2}{5} = \frac{1}{3}$
189642	Solve for t	13t-2t-8t=45	$13 t - 2 t - 8 t = 45$
189643	Solve for x	2+ square root of 5x-1>5	$2 + \sqrt{5 x - 1} > 5$
189644	Solve the Inequality for x	6(x^2+1)-(2x-4)(3x+2)<3(5x+21)	$6 (x^{2} + 1) - (2 x - 4) (3 x + 2) < 3 (5 x + 21)$
189645	Solve for x	1/(x-6)+(x+3)/(x+9)=(2x+3)/(x^2+3x-54)	$\frac{1}{x - 6} + \frac{x + 3}{x + 9} = \frac{2 x + 3}{x^{2} + 3 x - 54}$
189646	Solve for x	A=x+y-4	$A = x + y - 4$
189647	Solve for g	-3.8g+5+2.7g=12.7	$- 3.8 g + 5 + 2.7 g = 12.7$
189648	Evaluate	2(x/2)	$2 (\frac{x}{2})$
189649	Solve for x	(2pi)/x=8pi	$\frac{2 π}{x} = 8 π$
189650	Evaluate	arcsin((- square root of 2)/2)	$\arcsin (\frac{- \sqrt{2}}{2})$
189651	Solve for x	3^(x-10)<=3^(5x-38)	$3^{x - 10} \leq 3^{5 x - 38}$
189652	Solve the Rational Equation for x	x/(x+2)+2/(x^2+5x+6)=5/(x+3)	$\frac{x}{x + 2} + \frac{2}{x^{2} + 5 x + 6} = \frac{5}{x + 3}$
189653	Convert to a Decimal	450deg	$450$ degrees
189654	Solve for x	x-12÷6=9	$x - 12 \div 6 = 9$
189655	Evaluate	5 log of x+ log of 20- log of 10	$5 \log (x) + \log (20) - \log (10)$
189656	Solve for x	-2(2x-9)+3<6x+5	$- 2 (2 x - 9) + 3 < 6 x + 5$
189657	Evaluate	5*10/4	$5 \cdot \frac{10}{4}$
189658	Simplify	(8x)/(x-8)-2/(x-8)	$\frac{8 x}{x - 8} - \frac{2}{x - 8}$
189659	Graph	y=2/3cos(x/2-pi/4)	$y = \frac{2}{3} \cos (\frac{x}{2} - \frac{π}{4})$
189660	Find the Quadratic Equation Given the Roots	6 and 3	$6$ and $3$
189661	Rationalize the Denominator	(4+ square root of 2)/(2- square root of 2)	$\frac{4 + \sqrt{2}}{2 - \sqrt{2}}$
189662	Simplify	(x-x)^2	${(x - x)}^{2}$
189663	Write the Fraction in Simplest Form	x/(x^2+3x+2)+3/(x+1)	$\frac{x}{x^{2} + 3 x + 2} + \frac{3}{x + 1}$
189664	Find the Roots (Zeros)	f(x)=-2((1^x)/3)	$f (x) = - 2 (\frac{1^{x}}{3})$
189665	Solve for n	4n-6<10n+7	$4 n - 6 < 10 n + 7$
189666	Solve for t	1.08(2t+2.50)+3=13.80	$1.08 (2 t + 2.5) + 3 = 13.8$
189667	Write in Standard Form	(x-1)^2-y^2=4	${(x - 1)}^{2} - y^{2} = 4$
189668	Factor	(x-y)^2-(x-z)^2	${(x - y)}^{2} - {(x - z)}^{2}$
189669	Find the Distance Between Two Points	(0,0) and (6,-8)	$(0, 0)$ and $(6, - 8)$
189670	Evaluate	2pi*1/3	$2 π \cdot \frac{1}{3}$
189671	Graph	y>=-(x+4)^2	$y \geq - {(x + 4)}^{2}$
189672	Solve for a	3/2(a-10)=-3	$\frac{3}{2} (a - 10) = - 3$
189673	Find f(g(x))	f(x)=5x-2 and g(x)=3x^2-4	$f (x) = 5 x - 2$ and $g (x) = 3 x^{2} - 4$
189674	Evaluate	(ab)^-2	${(a b)}^{- 2}$
189675	Simplify	(15a^2bn-45a^2bm)/(10a^2b^2n-30a^2b^2m)	$\frac{15 a^{2} b n - 45 a^{2} b m}{10 a^{2} b^{2} n - 30 a^{2} b^{2} m}$
189676	Simplify	3 square root of 32-2 square root of 18+ square root of 54	$3 \sqrt{32} - 2 \sqrt{18} + \sqrt{54}$
189677	Simplify	a+(a-b)+(-a+b)	$a + (a - b) + (- a + b)$
189678	Solve for x	(x+4)(x-3)=-5x-11	$(x + 4) (x - 3) = - 5 x - 11$
189679	Complete the Square	y=x^2-4x+1	$y = x^{2} - 4 x + 1$
189680	Graph Using a Table of Values	g(x) = log base 1/2 of x	$g (x) = \log_{\frac{1}{2}} (x)$
189681	Solve for y	2y=x+3/4	$2 y = x + \frac{3}{4}$
189682	Solve for x	fifth root of 27(x-2)=3	$\sqrt[5]{27 (x - 2)} = 3$
189683	Solve for x	1/2 square root of 20+x=5	$\frac{1}{2} \sqrt{20 + x} = 5$
189684	Factor	y=x^2+x-6	$y = x^{2} + x - 6$
189685	Solve for x	ax+b^2=a^2-bx	$a x + b^{2} = a^{2} - b x$
189686	Simplify	2x+3y-x-(8+1)	$2 x + 3 y - x - (8 + 1)$
189687	Solve for x	1/(x-8)+3/(x-3)=x/(x-3)	$\frac{1}{x - 8} + \frac{3}{x - 3} = \frac{x}{x - 3}$
189688	Solve the System of Equations	2x+3y+z=1 6x-2y-z=-14 3x+y-z=1	$2 x + 3 y + z = 1$ $6 x - 2 y - z = - 14$ $3 x + y - z = 1$
189689	Solve the Inequality for x	(x+6)(1-x)(x-4)>=0	$(x + 6) (1 - x) (x - 4) \geq 0$
189690	Simplify	4(n-3)-2(-3+n)	$4 (n - 3) - 2 (- 3 + n)$
189691	Graph	p(x)=(x+1)^2(2x+5)^2(x-3)^2	$p (x) = {(x + 1)}^{2} {(2 x + 5)}^{2} {(x - 3)}^{2}$
189692	Solve for w	(w^2-10)/(w+2)+w-4=w-3	$\frac{w^{2} - 10}{w + 2} + w - 4 = w - 3$
189693	Find the Holes in the Graph	(3x+12)/(-4x-2)	$\frac{3 x + 12}{- 4 x - 2}$
189694	Factor	(x+h)^2-x^2	${(x + h)}^{2} - x^{2}$
189695	Graph	x+y>=6 x>=4	$x + y \geq 6$ $x \geq 4$
189696	Divide	(-4x)÷x	$- 4 x \div x$
189697	Solve for x	cube root of 2x-5- cube root of 8x+1=0	$\sqrt[3]{2 x - 5} - \sqrt[3]{8 x + 1} = 0$
189698	Solve for x	x-4 = square root of 2x	$x - 4 = \sqrt{2 x}$
189699	Solve the Inequality for n	n/4<=-1	$\frac{n}{4} \leq - 1$
189700	Find the End Behavior	f(x)=12x^2-18x+2x^3-108	$f (x) = 12 x^{2} - 18 x + 2 x^{3} - 108$