Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172201	Solve the Inequality for x	5+x<-3	$5 + x < - 3$
172202	Solve for f	9f+4-7f=8	$9 f + 4 - 7 f = 8$
172203	Graph	x<=-5/2	$x \leq - \frac{5}{2}$
172204	Simplify	((6x+6)/(x-1))÷((x^2+3x+2)/(2x-2))	$\frac{6 x + 6}{x - 1} \div \frac{x^{2} + 3 x + 2}{2 x - 2}$
172205	Simplify	8/(2(2+2))	$\frac{8}{2 (2 + 2)}$
172206	Evaluate	(3/2-2/15)(1/2+1/8)-23/48	$(\frac{3}{2} - \frac{2}{15}) (\frac{1}{2} + \frac{1}{8}) - \frac{23}{48}$
172207	Graph	F(x)=(x+2)(x-1)	$F (x) = (x + 2) (x - 1)$
172208	Solve the Inequality for x	2x+5<=3(x-2)	$2 x + 5 \leq 3 (x - 2)$
172209	Solve for x	3/(x^2+4x+4)=3/(x^2+8)	$\frac{3}{x^{2} + 4 x + 4} = \frac{3}{x^{2} + 8}$
172210	Simplify	w+14w-6w	$w + 14 w - 6 w$
172211	Graph	f^-1(x)=x/2+5/2	$f^{- 1} (x) = \frac{x}{2} + \frac{5}{2}$
172212	Simplify	(n+4)^2(3n^2-7n+1)	${(n + 4)}^{2} (3 n^{2} - 7 n + 1)$
172213	Graph	g(x)=f(-1/2x)	$g (x) = f (- \frac{1}{2} x)$
172214	Find the Degree	arccos(1/2)	$\arccos (\frac{1}{2})$
172215	Solve for x	-2/3x+9=4/3x-3	$- \frac{2}{3} x + 9 = \frac{4}{3} x - 3$
172216	Solve for x	(x-3)(x+9)=-27	$(x - 3) (x + 9) = - 27$
172217	Solve for x	-11x-30+6x=0	$- 11 x - 30 + 6 x = 0$
172218	Factor	(a+b)(a-b)-(a-b)(a-b)	$(a + b) (a - b) - (a - b) (a - b)$
172219	Solve the Inequality for r	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
172220	Simplify	(-x^2+x+2)/(x^2-3x+2)	$\frac{- x^{2} + x + 2}{x^{2} - 3 x + 2}$
172221	Simplify	8(2k+1+3k)	$8 (2 k + 1 + 3 k)$
172222	Find g(f(x))	f(x)=3x and g(x)=x/3	$f (x) = 3 x$ and $g (x) = \frac{x}{3}$
172223	Rationalize the Denominator	1/( square root of 2-1)	$\frac{1}{\sqrt{2} - 1}$
172224	Solve for x	3x+6y=18 for x	$3 x + 6 y = 18$ for $x$
172225	Simplify	1/(6a^2)-(5b)/(3a^3)+(b^2)/(4a)	$\frac{1}{6 a^{2}} - \frac{5 b}{3 a^{3}} + \frac{b^{2}}{4 a}$
172226	Graph	y=e^(\|x\|)	$y = e^{\| x \|}$
172227	Solve the System of Equations	5x-2y=10 y=5/2x-5	$5 x - 2 y = 10$ $y = \frac{5}{2} x - 5$
172228	Simplify	6(x+-2)	$6 (x + - 2)$
172229	Graph	y<=1 y-x>0	$y \leq 1$ $y - x > 0$
172230	Simplify	2/(1+i)	$\frac{2}{1 + i}$
172231	Solve for x	5 = log base 2 of x/3	$5 = \log_{2} (\frac{x}{3})$
172232	Multiply	4/(5a)*3/(2a^2)	$\frac{4}{5 a} \cdot \frac{3}{2 a^{2}}$
172233	Solve the Inequality for x	-1/4(12x+8)<=-2x+11	$- \frac{1}{4} (12 x + 8) \leq - 2 x + 11$
172234	Solve for X	X(X-3)=10	$X (X - 3) = 10$
172235	Solve for t	i/t=Pr	$\frac{i}{t} = P r$
172236	Find the Roots (Zeros)	12=-3x^2+16x	$12 = - 3 x^{2} + 16 x$
172237	Evaluate	x/(x^2)	$\frac{x}{x^{2}}$
172238	Graph	f(x)=[x-1]	$f (x) = [x - 1]$
172239	Find g(f(x))	f(x)=6x and g(x)=x/6	$f (x) = 6 x$ and $g (x) = \frac{x}{6}$
172240	Evaluate	20% of 60	$20 %$ of $60$
172241	Solve the Inequality for x	((x+5)(2x-7))/((x+1)^2)<=0	$\frac{(x + 5) (2 x - 7)}{{(x + 1)}^{2}} \leq 0$
172242	Solve for x	9/(x-1)+(-3x)/(x+6)=(4x)/(x^2-7x+6)	$\frac{9}{x - 1} + \frac{- 3 x}{x + 6} = \frac{4 x}{x^{2} - 7 x + 6}$
172243	Solve for x	(6x-7)/4+(3x-5)/7=(5x+78)/28	$\frac{6 x - 7}{4} + \frac{3 x - 5}{7} = \frac{5 x + 78}{28}$
172244	Simplify	( square root of 294u^4v^6)/( square root of 600u^4v^4)	$\frac{\sqrt{294 u^{4} v^{6}}}{\sqrt{600 u^{4} v^{4}}}$
172245	Solve for g	7+3(2g-6)=-29	$7 + 3 (2 g - 6) = - 29$
172246	Determine if Perpendicular	x+y=8 and y=-x-1	$x + y = 8$ and $y = - x - 1$
172247	Multiply	0.75(8+e)=2-1.25e	$0.75 (8 + e) = 2 - 1.25 e$
172248	Evaluate	-4(x-5)+8x=9x-3	$- 4 (x - 5) + 8 x = 9 x - 3$
172249	Solve for b	-2/3+4/5b=-1/2	$- \frac{2}{3} + \frac{4}{5} b = - \frac{1}{2}$
172250	Find the Inverse	f^-1(x)=-3/4x+2	$f^{- 1} (x) = - \frac{3}{4} x + 2$
172251	Graph	F(x)=-x^7+4x^3-2x^2	$F (x) = - x^{7} + 4 x^{3} - 2 x^{2}$
172252	Solve for t	-5t>=70	$- 5 t \geq 70$
172253	Solve the Inequality for x	4x-7>=(-12x+14)/4	$4 x - 7 \geq \frac{- 12 x + 14}{4}$
172254	Solve for x	3/2(3x-7)+3x=3/2(8x+2)	$\frac{3}{2} (3 x - 7) + 3 x = \frac{3}{2} (8 x + 2)$
172255	Find f(g(x))	f(x)=2x-1 , g(x)=x+3	$f (x) = 2 x - 1$ , $g (x) = x + 3$
172256	Solve for x	(3ax-n)/5=-4	$\frac{3 a x - n}{5} = - 4$
172257	Solve for m	-5m<10	$- 5 m < 10$
172258	Find the Product	(x-3y)^2	${(x - 3 y)}^{2}$
172259	Solve for x	\|x-1/2\|=3 2/3	$\| x - \frac{1}{2} \| = 3 \frac{2}{3}$
172260	Solve for Y	Y=-3(0)+5	$Y = - 3 (0) + 5$
172261	Simplify	(10- square root of 18)/( square root of 2)	$\frac{10 - \sqrt{18}}{\sqrt{2}}$
172262	Solve for c	-2/3=-1/5c-2/3	$- \frac{2}{3} = - \frac{1}{5} c - \frac{2}{3}$
172263	Solve for x	-x^2-1=0	$- x^{2} - 1 = 0$
172264	Simplify	(2a^2b^3c^4)/(4a^4bc^4)	$\frac{2 a^{2} b^{3} c^{4}}{4 a^{4} b c^{4}}$
172265	Evaluate	(4!)/(4!(4-4)!)	$\frac{4!}{4! (4 - 4)!}$
172266	Find the x and y Intercepts	f(x)=(3x^2-9x+6)/(5x-10)	$f (x) = \frac{3 x^{2} - 9 x + 6}{5 x - 10}$
172267	Solve the Inequality for x	x^2+5x<=0	$x^{2} + 5 x \leq 0$
172268	Solve the Inequality for x	x^2+2x<8	$x^{2} + 2 x < 8$
172269	Simplify	3(6x-4)^2-2(6x-4)-10	$3 {(6 x - 4)}^{2} - 2 (6 x - 4) - 10$
172270	Evaluate	3^-6*((3^4)÷(3^0))^2	$3^{- 6} \cdot {(3^{4} \div 3^{0})}^{2}$
172271	Solve for x	x+x/7+1/11(x+x/7)=60	$x + \frac{x}{7} + \frac{1}{11} (x + \frac{x}{7}) = 60$
172272	Solve for x	-3/(x+2)+(5x)/(x-1)=(x+2)/(x^2-3x+2)	$\frac{- 3}{x + 2} + \frac{5 x}{x - 1} = \frac{x + 2}{x^{2} - 3 x + 2}$
172273	Solve the System of Inequalities	-15>-3x-9 and -3x-9<-39	$- 15 > - 3 x - 9$ and $- 3 x - 9 < - 39$
172274	Solve for x	\|2x-1\|=\|x+4\|	$\| 2 x - 1 \| = \| x + 4 \|$
172275	Find All Complex Solutions	3^x=81	$3^{x} = 81$
172276	Solve for x	3(x-2)^2(x+5)=3(x+1)^2(x-1)+3	$3 {(x - 2)}^{2} (x + 5) = 3 {(x + 1)}^{2} (x - 1) + 3$
172277	Find the Roots (Zeros)	2x^4-7x^3+6x^2=0	$2 x^{4} - 7 x^{3} + 6 x^{2} = 0$
172278	Simplify	(5j^6)/((4q^5j^-3)^-2)	$\frac{5 j^{6}}{{(4 q^{5} j^{- 3})}^{- 2}}$
172279	Evaluate	2*7-10/(9-4)	$2 \cdot 7 - \frac{10}{9 - 4}$
172280	Solve the Absolute Value Inequality for r	3\|3-5r\|-3=18	$3 \| 3 - 5 r \| - 3 = 18$
172281	Solve Using the Quadratic Formula	(x+5)^2+(x-2)^2=37	${(x + 5)}^{2} + {(x - 2)}^{2} = 37$
172282	Simplify	(15d^-9t^4)/((5d^-3t)^-2)	$\frac{15 d^{- 9} t^{4}}{{(5 d^{- 3} t)}^{- 2}}$
172283	Find the LCM	6 and 15	$6$ and $15$
172284	Graph	-1<=2n+4-5	$- 1 \leq 2 n + 4 - 5$
172285	Solve for p	p^2-5p=0	$p^{2} - 5 p = 0$
172286	Identify the Conic	5y^2+2x-30y=-49	$5 y^{2} + 2 x - 30 y = - 49$
172287	Find the Exact Value	2/3+5/6	$\frac{2}{3} + \frac{5}{6}$
172288	Graph	y<=\|3x\|+1	$y \leq \| 3 x \| + 1$
172289	Solve the Inequality for x	((x-5)(x+1))/(x-3)<=0	$\frac{(x - 5) (x + 1)}{x - 3} \leq 0$
172290	Evaluate	pi/6-pi/2	$\frac{π}{6} - \frac{π}{2}$
172291	Write in Standard Form	y=(x-2/3)^2+2	$y = {(x - \frac{2}{3})}^{2} + 2$
172292	Simplify	3/( square root of x+3- square root of x)	$\frac{3}{\sqrt{x + 3} - \sqrt{x}}$
172293	Simplify	(k^14+4k^7+3)/(2k^11+2k^4)	$\frac{k^{14} + 4 k^{7} + 3}{2 k^{11} + 2 k^{4}}$
172294	Solve the System of Equations	3x-y+2z=4 6x-2y+4z=-8 2x-y+3z=10	$3 x - y + 2 z = 4$ $6 x - 2 y + 4 z = - 8$ $2 x - y + 3 z = 10$
172295	Solve for x	x^2+bx+c=0	$x^{2} + b x + c = 0$
172296	Find the Roots (Zeros)	-18x+5=-15x^2+4x	$- 18 x + 5 = - 15 x^{2} + 4 x$
172297	Graph	y=(1/2)^(3-x)-2	$y = {(\frac{1}{2})}^{3 - x} - 2$
172298	Factor by Grouping	4x^2+16xy+16y^2	$4 x^{2} + 16 x y + 16 y^{2}$
172299	Solve the Inequality for x	2x-x^2<-8	$2 x - x^{2} < - 8$
172300	Solve the System of Equations	3y-6x=24 8+2x=y	$3 y - 6 x = 24$ $8 + 2 x = y$