Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196501	Evaluate	cos(3theta)=1	$\cos (3 θ) = 1$
196502	Evaluate	(-7x^2-4)+(-7x^2-6x-2)	$(- 7 x^{2} - 4) + (- 7 x^{2} - 6 x - 2)$
196503	Find the Exact Value	9-3÷(1/3)+1	$9 - 3 \div \frac{1}{3} + 1$
196504	Find the Excluded Values	(x+3)/(3x+6)*(6x)/(x^2+5x+6)	$\frac{x + 3}{3 x + 6} \cdot \frac{6 x}{x^{2} + 5 x + 6}$
196505	Graph	-(x+1)^2(x-1)^3(X-2)	$- {(x + 1)}^{2} {(x - 1)}^{3} (X - 2)$
196506	Determine if True	cos(theta)cot(theta)=csc(theta)-sin(theta)	$\cos (θ) \cot (θ) = \csc (θ) - \sin (θ)$
196507	Solve the Inequality for x	-1>=-4/5x-2(-3x+1/2)	$- 1 \geq - \frac{4}{5} x - 2 (- 3 x + \frac{1}{2})$
196508	Solve the Inequality for x	((x-2)^2)/(x^2-1)>=0	$\frac{{(x - 2)}^{2}}{x^{2} - 1} \geq 0$
196509	Find the Zeros Using Descartes' Rule of Signs	f(x)=x^3-2x^2+x-1	$f (x) = x^{3} - 2 x^{2} + x - 1$
196510	Find f(g(x))	f(x)=18-3x , g(x)=6-x/3	$f (x) = 18 - 3 x$ , $g (x) = 6 - \frac{x}{3}$
196511	Solve for y	19=7x+y	$19 = 7 x + y$
196512	Simplify	2(1+5m)^2+18(1+5m)-14	$2 {(1 + 5 m)}^{2} + 18 (1 + 5 m) - 14$
196513	Graph	y=-1/2x+2 y=3x-5	$y = - \frac{1}{2} x + 2$ $y = 3 x - 5$
196514	Solve the Inequality for x	5/(x-6)>3/(x+2)	$\frac{5}{x - 6} > \frac{3}{x + 2}$
196515	Identify the Zeros and Their Multiplicities	f(x)=x^6-7x^4-8x^2	$f (x) = x^{6} - 7 x^{4} - 8 x^{2}$
196516	Divide	((x^2+2x+1)/(x^2+4x+3))÷((x^2-1)/(x^2+2x+1))	$\frac{x^{2} + 2 x + 1}{x^{2} + 4 x + 3} \div \frac{x^{2} - 1}{x^{2} + 2 x + 1}$
196517	Factor	6a^2-4ac-15ab+10bc	$6 a^{2} - 4 a c - 15 a b + 10 b c$
196518	Solve for x	x(x^2-49)(x^2-3)=0	$x (x^{2} - 49) (x^{2} - 3) = 0$
196519	Solve the Inequality for s	-4>-4/3s	$- 4 > - \frac{4}{3} s$
196520	Solve for θ	sec(theta)=-1	$\sec (θ) = - 1$
196521	Solve for x	(1-3x)^(1/2)-1=x	${(1 - 3 x)}^{\frac{1}{2}} - 1 = x$
196522	Graph	f(x)=0 if x<2; 1 if x>=2	$f (x) = {\begin{cases} 0 & x < 2 \\ 1 & x \geq 2 \end{cases}$
196523	Solve the Inequality for x	(5-x)/(4x+1)>=3	$\frac{5 - x}{4 x + 1} \geq 3$
196524	Find the Domain and Range	x=y^11	$x = y^{11}$
196525	Graph Using a Table of Values	y=-3/2x^3	$y = - \frac{3}{2} x^{3}$
196526	Find the x and y Intercepts	f(x)=(2x^2-6x)/(5x^2+34x+24)	$f (x) = \frac{2 x^{2} - 6 x}{5 x^{2} + 34 x + 24}$
196527	Evaluate	-100*2^(0.5y)=-5	$- 100 \cdot 2^{0.5 y} = - 5$
196528	Evaluate	-1*(-2^(7-1))	$- 1 \cdot (- 2^{7 - 1})$
196529	Solve the Inequality for x	27<=7x+6	$27 \leq 7 x + 6$
196530	Write in Standard Form	( square root of 3+4i)( square root of 3-4i)	$(\sqrt{3} + 4 i) (\sqrt{3} - 4 i)$
196531	Solve for p	square root of 6-5p = square root of 3p-26	$\sqrt{6 - 5 p} = \sqrt{3 p - 26}$
196532	Graph Using a Table of Values	f(x)=x^2+2x	$f (x) = x^{2} + 2 x$
196533	Simplify	(6-4(2+3)^2-2+5)^0	${(6 - 4 {(2 + 3)}^{2} - 2 + 5)}^{0}$
196534	Find the Product	(3a+2)(4a^2-2a+9) ?	$(3 a + 2) (4 a^{2} - 2 a + 9)$ ?
196535	Simplify	square root of 18/16	$\sqrt{\frac{18}{16}}$
196536	Solve the System of Inequalities	y>=x-3 y>=-x-1	$y \geq x - 3$ $y \geq - x - 1$
196537	Simplify the Radical Expression	square root of 12+ square root of 108- square root of 32	$\sqrt{12} + \sqrt{108} - \sqrt{32}$
196538	Write in Slope-Intercept Form	x+6y<12	$x + 6 y < 12$
196539	Solve for r	A=pi*r^2	$A = π \cdot r^{2}$
196540	Solve for x	x/a-b=c	$\frac{x}{a} - b = c$
196541	Divide	((x^3-8)/(x^2+3x-10))÷((8x-40)/(x^2-25))	$\frac{x^{3} - 8}{x^{2} + 3 x - 10} \div \frac{8 x - 40}{x^{2} - 25}$
196542	Simplify	9x^2-7x from -4x^2+6	$9 x^{2} - 7 x$ from $- 4 x^{2} + 6$
196543	Solve for u	4u-11u+27u=-40	$4 u - 11 u + 27 u = - 40$
196544	Solve the System of Equations	x-y=-1 y=x^2+1	$x - y = - 1$ $y = x^{2} + 1$
196545	Factor	(a+b)m^2+(a+b)n	$(a + b) m^{2} + (a + b) n$
196546	Solve for x	x/2+x/3+x/6=3	$\frac{x}{2} + \frac{x}{3} + \frac{x}{6} = 3$
196547	Graph	Find the value of x	Find the value of $x$
196548	Solve the Inequality for x	(x-2)/(x+3)<(x+1)/x	$\frac{x - 2}{x + 3} < \frac{x + 1}{x}$
196549	Find the Distance Between Two Points	(9,3) and (5,-3)	$(9, 3)$ and $(5, - 3)$
196550	Find the x and y Intercepts	y=x(x-2)	$y = x (x - 2)$
196551	Solve for f	d/2+f/4=6	$\frac{d}{2} + \frac{f}{4} = 6$
196552	Simplify the Radical Expression	( square root of 32)/4	$\frac{\sqrt{32}}{4}$
196553	Multiply	6x*2x^2	$6 x \cdot 2 x^{2}$
196554	Solve for x	8-3^x=-1	$8 - 3^{x} = - 1$
196555	Evaluate	(0-0)^2	${(0 - 0)}^{2}$
196556	Factor	34^3-27h^3	$34^{3} - 27 h^{3}$
196557	Solve the Inequality for x	4(x+1)+2>=3x+6	$4 (x + 1) + 2 \geq 3 x + 6$
196558	Solve for x	(x+1)(x-3)^2>0	$(x + 1) {(x - 3)}^{2} > 0$
196559	Solve for x	3x(x-2)=12x	$3 x (x - 2) = 12 x$
196560	Evaluate	2^3*3^2	$2^{3} \times 3^{2}$
196561	Solve for x	8^(6-4x)+6=22	$8^{6 - 4 x} + 6 = 22$
196562	Simplify	3^x+3^x+3^x	$3^{x} + 3^{x} + 3^{x}$
196563	Solve the Inequality for x	x^2+14x+49<0	$x^{2} + 14 x + 49 < 0$
196564	Evaluate	1/a+1/b	$\frac{1}{a} + \frac{1}{b}$
196565	Evaluate	1/4*pi	$\frac{1}{4} \cdot π$
196566	Simplify	((y-1)/(y^2+y-6))/((y-6)/(y+3))	$\frac{\frac{y - 1}{y^{2} + y - 6}}{\frac{y - 6}{y + 3}}$
196567	Simplify	ii	$i i$
196568	Multiply	(36y)/(y^2-1)*(y^2-y)/(27y^2)	$\frac{36 y}{y^{2} - 1} \cdot \frac{y^{2} - y}{27 y^{2}}$
196569	Find the Exact Value	cos((7pi)/4)^2	$\cos^{2} (\frac{7 π}{4})$
196570	Find the Slope and y-intercept	m=-1/2	$m = - \frac{1}{2}$
196571	Find the Vertex Form	H(x)=1/2x^2-7x+7	$H (x) = \frac{1}{2} x^{2} - 7 x + 7$
196572	Simplify	(3x+5)+(2x-9)-(4x+3)	$(3 x + 5) + (2 x - 9) - (4 x + 3)$
196573	Solve for x	2x(x+3)=(x+1)(2x-5)	$2 x (x + 3) = (x + 1) (2 x - 5)$
196574	Solve the Inequality for h	9h-7(2-h)<8(h+11)+8h	$9 h - 7 (2 - h) < 8 (h + 11) + 8 h$
196575	Solve for k	x=3y^2+ky	$x = 3 y^{2} + k y$
196576	Graph	2(1-4r)<-2(r+3)-4	$2 (1 - 4 r) < - 2 (r + 3) - 4$
196577	Evaluate	16x^0+2x^2*y^-1	$16 x^{0} + 2 x^{2} \cdot y^{- 1}$
196578	Factor	1-16ax^2+64a^2x^4	$1 - 16 a x^{2} + 64 a^{2} x^{4}$
196579	Solve for x	243^(4x+5)=(1/243)^(-3x+13)	$243^{4 x + 5} = {(\frac{1}{243})}^{- 3 x + 13}$
196580	Graph	y/x<0	$\frac{y}{x} < 0$
196581	Simplify	square root of -5* square root of 5	$\sqrt{- 5} \cdot \sqrt{5}$
196582	Graph	y=x^1	$y = x^{1}$
196583	Multiply	3x^2+5x+1*x^2-2x+4	$3 x^{2} + 5 x + 1 \cdot x^{2} - 2 x + 4$
196584	Evaluate	-1/2*( square root of 2)/2	$- \frac{1}{2} \cdot \frac{\sqrt{2}}{2}$
196585	Combine Like Terms	y+x+y+x	$y + x + y + x$
196586	Multiply	(a^5-7b)^2	${(a^{5} - 7 b)}^{2}$
196587	Find the Product	(4a+x)(a-x)	$(4 a + x) (a - x)$
196588	Find the Product	12÷43+18÷93-4*3	$12 \div 4 \times 3 + 18 \div 9 \times 3 - 4 \times 3$
196589	Find the Inverse	y=x/4	$y = \frac{x}{4}$
196590	Find the Distance Between Two Points	(5,-9) and (-3,-1)	$(5, - 9)$ and $(- 3, - 1)$
196591	Solve for x	x/4+(x-1)/3=1/4	$\frac{x}{4} + \frac{(x - 1)}{3} = \frac{1}{4}$
196592	Solve the Inequality for d	(d-3)/10>=(2d+3)/5+(d+3)/3	$\frac{d - 3}{10} \geq \frac{2 d + 3}{5} + \frac{d + 3}{3}$
196593	Evaluate	10+16-(8÷2)	$10 + 16 - (8 \div 2)$
196594	Solve for n	(1/10)^n=1000	${(\frac{1}{10})}^{n} = 1000$
196595	Find the End Behavior	f(x)=-69x^5+3x^6-8232-1635x^3+7644x+555x^4-210x^2	$f (x) = - 69 x^{5} + 3 x^{6} - 8232 - 1635 x^{3} + 7644 x + 555 x^{4} - 210 x^{2}$
196596	Simplify	17x+3-5y+19+10z	$17 x + 3 - 5 y + 19 + 10 z$
196597	Evaluate	log base 2 of 3x-1 = log base 4 of x+8	$\log_{2} (3 x - 1) = \log_{4} (x + 8)$
196598	Evaluate	-2(2/5)^-2	$- 2 {(\frac{2}{5})}^{- 2}$
196599	Evaluate	(x^2+10x)+(4x-1)	$(x^{2} + 10 x) + (4 x - 1)$
196600	Graph	g(x)=-4f(x)+12	$g (x) = - 4 f (x) + 12$