Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196501	Divide	((x^2+2x+1)/(x^2+4x+3))÷((x^2-1)/(x^2+2x+1))	$\frac{x^{2} + 2 x + 1}{x^{2} + 4 x + 3} \div \frac{x^{2} - 1}{x^{2} + 2 x + 1}$
196502	Factor	6a^2-4ac-15ab+10bc	$6 a^{2} - 4 a c - 15 a b + 10 b c$
196503	Solve for x	x(x^2-49)(x^2-3)=0	$x (x^{2} - 49) (x^{2} - 3) = 0$
196504	Solve the Inequality for s	-4>-4/3s	$- 4 > - \frac{4}{3} s$
196505	Solve for θ	sec(theta)=-1	$\sec (θ) = - 1$
196506	Solve for x	(1-3x)^(1/2)-1=x	${(1 - 3 x)}^{\frac{1}{2}} - 1 = x$
196507	Graph	f(x)=0 if x<2; 1 if x>=2	$f (x) = {\begin{cases} 0 & x < 2 \\ 1 & x \geq 2 \end{cases}$
196508	Solve the Inequality for x	(5-x)/(4x+1)>=3	$\frac{5 - x}{4 x + 1} \geq 3$
196509	Find the Domain and Range	x=y^11	$x = y^{11}$
196510	Graph Using a Table of Values	y=-3/2x^3	$y = - \frac{3}{2} x^{3}$
196511	Find the x and y Intercepts	f(x)=(2x^2-6x)/(5x^2+34x+24)	$f (x) = \frac{2 x^{2} - 6 x}{5 x^{2} + 34 x + 24}$
196512	Evaluate	-100*2^(0.5y)=-5	$- 100 \cdot 2^{0.5 y} = - 5$
196513	Evaluate	-1*(-2^(7-1))	$- 1 \cdot (- 2^{7 - 1})$
196514	Solve the Inequality for x	27<=7x+6	$27 \leq 7 x + 6$
196515	Write in Standard Form	( square root of 3+4i)( square root of 3-4i)	$(\sqrt{3} + 4 i) (\sqrt{3} - 4 i)$
196516	Solve for p	square root of 6-5p = square root of 3p-26	$\sqrt{6 - 5 p} = \sqrt{3 p - 26}$
196517	Graph Using a Table of Values	f(x)=x^2+2x	$f (x) = x^{2} + 2 x$
196518	Simplify	(6-4(2+3)^2-2+5)^0	${(6 - 4 {(2 + 3)}^{2} - 2 + 5)}^{0}$
196519	Find the Product	(3a+2)(4a^2-2a+9) ?	$(3 a + 2) (4 a^{2} - 2 a + 9)$ ?
196520	Simplify	square root of 18/16	$\sqrt{\frac{18}{16}}$
196521	Solve the System of Inequalities	y>=x-3 y>=-x-1	$y \geq x - 3$ $y \geq - x - 1$
196522	Simplify the Radical Expression	square root of 12+ square root of 108- square root of 32	$\sqrt{12} + \sqrt{108} - \sqrt{32}$
196523	Write in Slope-Intercept Form	x+6y<12	$x + 6 y < 12$
196524	Solve for r	A=pi*r^2	$A = π \cdot r^{2}$
196525	Solve for x	x/a-b=c	$\frac{x}{a} - b = c$
196526	Divide	((x^3-8)/(x^2+3x-10))÷((8x-40)/(x^2-25))	$\frac{x^{3} - 8}{x^{2} + 3 x - 10} \div \frac{8 x - 40}{x^{2} - 25}$
196527	Simplify	9x^2-7x from -4x^2+6	$9 x^{2} - 7 x$ from $- 4 x^{2} + 6$
196528	Solve for u	4u-11u+27u=-40	$4 u - 11 u + 27 u = - 40$
196529	Solve the System of Equations	x-y=-1 y=x^2+1	$x - y = - 1$ $y = x^{2} + 1$
196530	Factor	(a+b)m^2+(a+b)n	$(a + b) m^{2} + (a + b) n$
196531	Solve for x	x/2+x/3+x/6=3	$\frac{x}{2} + \frac{x}{3} + \frac{x}{6} = 3$
196532	Graph	Find the value of x	Find the value of $x$
196533	Solve the Inequality for x	(x-2)/(x+3)<(x+1)/x	$\frac{x - 2}{x + 3} < \frac{x + 1}{x}$
196534	Find the Distance Between Two Points	(9,3) and (5,-3)	$(9, 3)$ and $(5, - 3)$
196535	Find the x and y Intercepts	y=x(x-2)	$y = x (x - 2)$
196536	Solve for f	d/2+f/4=6	$\frac{d}{2} + \frac{f}{4} = 6$
196537	Simplify the Radical Expression	( square root of 32)/4	$\frac{\sqrt{32}}{4}$
196538	Multiply	6x*2x^2	$6 x \cdot 2 x^{2}$
196539	Solve for x	8-3^x=-1	$8 - 3^{x} = - 1$
196540	Evaluate	(0-0)^2	${(0 - 0)}^{2}$
196541	Factor	34^3-27h^3	$34^{3} - 27 h^{3}$
196542	Solve the Inequality for x	4(x+1)+2>=3x+6	$4 (x + 1) + 2 \geq 3 x + 6$
196543	Solve for x	(x+1)(x-3)^2>0	$(x + 1) {(x - 3)}^{2} > 0$
196544	Solve for x	3x(x-2)=12x	$3 x (x - 2) = 12 x$
196545	Evaluate	2^3*3^2	$2^{3} \times 3^{2}$
196546	Solve for x	8^(6-4x)+6=22	$8^{6 - 4 x} + 6 = 22$
196547	Simplify	3^x+3^x+3^x	$3^{x} + 3^{x} + 3^{x}$
196548	Solve the Inequality for x	x^2+14x+49<0	$x^{2} + 14 x + 49 < 0$
196549	Evaluate	1/a+1/b	$\frac{1}{a} + \frac{1}{b}$
196550	Evaluate	1/4*pi	$\frac{1}{4} \cdot π$
196551	Simplify	((y-1)/(y^2+y-6))/((y-6)/(y+3))	$\frac{\frac{y - 1}{y^{2} + y - 6}}{\frac{y - 6}{y + 3}}$
196552	Simplify	ii	$i i$
196553	Multiply	(36y)/(y^2-1)*(y^2-y)/(27y^2)	$\frac{36 y}{y^{2} - 1} \cdot \frac{y^{2} - y}{27 y^{2}}$
196554	Find the Exact Value	cos((7pi)/4)^2	$\cos^{2} (\frac{7 π}{4})$
196555	Find the Slope and y-intercept	m=-1/2	$m = - \frac{1}{2}$
196556	Find the Vertex Form	H(x)=1/2x^2-7x+7	$H (x) = \frac{1}{2} x^{2} - 7 x + 7$
196557	Simplify	(3x+5)+(2x-9)-(4x+3)	$(3 x + 5) + (2 x - 9) - (4 x + 3)$
196558	Solve for x	2x(x+3)=(x+1)(2x-5)	$2 x (x + 3) = (x + 1) (2 x - 5)$
196559	Solve the Inequality for h	9h-7(2-h)<8(h+11)+8h	$9 h - 7 (2 - h) < 8 (h + 11) + 8 h$
196560	Solve for k	x=3y^2+ky	$x = 3 y^{2} + k y$
196561	Graph	2(1-4r)<-2(r+3)-4	$2 (1 - 4 r) < - 2 (r + 3) - 4$
196562	Evaluate	16x^0+2x^2*y^-1	$16 x^{0} + 2 x^{2} \cdot y^{- 1}$
196563	Factor	1-16ax^2+64a^2x^4	$1 - 16 a x^{2} + 64 a^{2} x^{4}$
196564	Solve for x	243^(4x+5)=(1/243)^(-3x+13)	$243^{4 x + 5} = {(\frac{1}{243})}^{- 3 x + 13}$
196565	Graph	y/x<0	$\frac{y}{x} < 0$
196566	Simplify	square root of -5* square root of 5	$\sqrt{- 5} \cdot \sqrt{5}$
196567	Graph	y=x^1	$y = x^{1}$
196568	Multiply	3x^2+5x+1*x^2-2x+4	$3 x^{2} + 5 x + 1 \cdot x^{2} - 2 x + 4$
196569	Evaluate	-1/2*( square root of 2)/2	$- \frac{1}{2} \cdot \frac{\sqrt{2}}{2}$
196570	Combine Like Terms	y+x+y+x	$y + x + y + x$
196571	Multiply	(a^5-7b)^2	${(a^{5} - 7 b)}^{2}$
196572	Find the Product	(4a+x)(a-x)	$(4 a + x) (a - x)$
196573	Find the Product	12÷43+18÷93-4*3	$12 \div 4 \times 3 + 18 \div 9 \times 3 - 4 \times 3$
196574	Find the Inverse	y=x/4	$y = \frac{x}{4}$
196575	Find the Distance Between Two Points	(5,-9) and (-3,-1)	$(5, - 9)$ and $(- 3, - 1)$
196576	Solve for x	x/4+(x-1)/3=1/4	$\frac{x}{4} + \frac{(x - 1)}{3} = \frac{1}{4}$
196577	Solve the Inequality for d	(d-3)/10>=(2d+3)/5+(d+3)/3	$\frac{d - 3}{10} \geq \frac{2 d + 3}{5} + \frac{d + 3}{3}$
196578	Evaluate	10+16-(8÷2)	$10 + 16 - (8 \div 2)$
196579	Solve for n	(1/10)^n=1000	${(\frac{1}{10})}^{n} = 1000$
196580	Find the End Behavior	f(x)=-69x^5+3x^6-8232-1635x^3+7644x+555x^4-210x^2	$f (x) = - 69 x^{5} + 3 x^{6} - 8232 - 1635 x^{3} + 7644 x + 555 x^{4} - 210 x^{2}$
196581	Simplify	17x+3-5y+19+10z	$17 x + 3 - 5 y + 19 + 10 z$
196582	Evaluate	log base 2 of 3x-1 = log base 4 of x+8	$\log_{2} (3 x - 1) = \log_{4} (x + 8)$
196583	Evaluate	-2(2/5)^-2	$- 2 {(\frac{2}{5})}^{- 2}$
196584	Evaluate	(x^2+10x)+(4x-1)	$(x^{2} + 10 x) + (4 x - 1)$
196585	Graph	g(x)=-4f(x)+12	$g (x) = - 4 f (x) + 12$
196586	Solve for x	3x+2(x-2)=5x-4	$3 x + 2 (x - 2) = 5 x - 4$
196587	Solve for x	3/x=4/(3x)-10/3	$\frac{3}{x} = \frac{4}{3 x} - \frac{10}{3}$
196588	Solve for x	(x-2)-2(x-1)=x+1-(x-4)	$(x - 2) - 2 (x - 1) = x + 1 - (x - 4)$
196589	Solve the Inequality for h	-13h<=52	$- 13 h \leq 52$
196590	Solve the Inequality for x	-2(3x+6)>=4(x+7)	$- 2 (3 x + 6) \geq 4 (x + 7)$
196591	Simplify	-3/2x-68+2x+8	$- \frac{3}{2} x - 68 + 2 x + 8$
196592	Solve the Inequality for x	(x^2-1)/(x^2-4)<=0	$\frac{x^{2} - 1}{x^{2} - 4} \leq 0$
196593	Solve for x	5^(x+3)>=25	$5^{x + 3} \geq 25$
196594	Simplify	(9a^2-7b+3c^3-4)-(6a^2+6b-3c^3-4)	$(9 a^{2} - 7 b + 3 c^{3} - 4) - (6 a^{2} + 6 b - 3 c^{3} - 4)$
196595	Find the x and y Intercepts	f(x)=(3x+27)/(x^2+x-72)	$f (x) = \frac{3 x + 27}{x^{2} + x - 72}$
196596	Multiply	13/5226/524/52	$\frac{13}{52} \cdot \frac{26}{52} \cdot \frac{4}{52}$
196597	Find the Exact Value	5/6-1/3	$\frac{5}{6} - \frac{1}{3}$
196598	Solve for x	10/(10+x)=35/56	$\frac{10}{10 + x} = \frac{35}{56}$
196599	Find the Exact Value	square root of 2/2	$\sqrt{\frac{2}{2}}$
196600	Simplify	x^3*3x^2	$x^{3} \cdot 3 x^{2}$