Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
164101	Evaluate	(9^6*7^-9)^-4	${(9^{6} \cdot 7^{- 9})}^{- 4}$
164102	Simplify	(x+3)/(x+2)*(x^2-x-6)/(x^2-9)	$\frac{x + 3}{x + 2} \cdot \frac{x^{2} - x - 6}{x^{2} - 9}$
164103	Simplify	1/2(4x^2+6x-2)-5(-3x^2+2x+2)	$\frac{1}{2} (4 x^{2} + 6 x - 2) - 5 (- 3 x^{2} + 2 x + 2)$
164104	Solve for y	20=\|3y-11\|	$20 = \| 3 y - 11 \|$
164105	Solve for q	8q+12=4(3+2q)	$8 q + 12 = 4 (3 + 2 q)$
164106	Solve for x	3x-x+4=4(2x-1)	$3 x - x + 4 = 4 (2 x - 1)$
164107	Solve the Inequality for x	(x-4)(x-5)(x-6)<=0	$(x - 4) (x - 5) (x - 6) \leq 0$
164108	Simplify	3x^2-4+2x-1+x^2	$3 x^{2} - 4 + 2 x - 1 + x^{2}$
164109	Graph	y>x y>2	$y > x$ $y > 2$
164110	Solve for x	1-1/x=-6x	$1 - \frac{1}{x} = - 6 x$
164111	Solve for y	4(y-1)-1=2(2y-3)	$4 (y - 1) - 1 = 2 (2 y - 3)$
164112	Write in Slope-Intercept Form	(-2,0) and (0,5)	$(- 2, 0)$ and $(0, 5)$
164113	Solve for x	-9+x/(x-7)=7/(x-7)	$- 9 + \frac{x}{x - 7} = \frac{7}{x - 7}$
164114	Find the Exact Value	log base 4 of 256	$\log_{4} (256)$
164115	Simplify	(x+10)/(x^2+7x-18)*(3x^2-12x+12)/(3x+30)	$\frac{x + 10}{x^{2} + 7 x - 18} \cdot \frac{3 x^{2} - 12 x + 12}{3 x + 30}$
164116	Solve for r	q-10=6(r+1)	$q - 10 = 6 (r + 1)$
164117	Find the Excluded Values	(x-7)/(x+9)	$\frac{x - 7}{x + 9}$
164118	Solve for x	5-5\|x+2\|=-20	$5 - 5 \| x + 2 \| = - 20$
164119	Evaluate	2(b+3c)	$2 (b + 3 c)$
164120	Solve the Inequality for x	-5x-15>10+20x	$- 5 x - 15 > 10 + 20 x$
164121	Solve for x	9=x^2	$9 = x^{2}$
164122	Multiply	(x^3-9x)/(x^2+10x+21)*(x^2+7x)/(x^2+5x-24)	$\frac{x^{3} - 9 x}{x^{2} + 10 x + 21} \cdot \frac{x^{2} + 7 x}{x^{2} + 5 x - 24}$
164123	Simplify	(2-5 square root of 6)*3 square root of 2	$(2 - 5 \sqrt{6}) \cdot 3 \sqrt{2}$
164124	Solve the Inequality for k	9k+7>=10k-1	$9 k + 7 \geq 10 k - 1$
164125	Solve for x	6+\|2x-6\|=8	$6 + \| 2 x - 6 \| = 8$
164126	Solve for x	2-8/x=26	$2 - \frac{8}{x} = 26$
164127	Solve for x	-2/(x-1)=4	$- \frac{2}{x - 1} = 4$
164128	Graph	y>=x^2-25 x-y>=-5	$y \geq x^{2} - 25$ $x - y \geq - 5$
164129	Simplify	(x-6)/(5x)*(x^2-49)/(x^2+x-42)	$\frac{x - 6}{5 x} \cdot \frac{x^{2} - 49}{x^{2} + x - 42}$
164130	Factor	(x^2+8x+16)	$(x^{2} + 8 x + 16)$
164131	Solve for x	15x-x-10x-3x-1=7	$15 x - x - 10 x - 3 x - 1 = 7$
164132	Solve for n	-6/5n=8	$- \frac{6}{5} n = 8$
164133	Simplify	((x^2-4)/(x-2))÷((x^2-2x-8)/(3x^3))	$\frac{x^{2} - 4}{x - 2} \div \frac{x^{2} - 2 x - 8}{3 x^{3}}$
164134	Subtract	-5x^2+7x+1 from 8x^2+x-10	$- 5 x^{2} + 7 x + 1$ from $8 x^{2} + x - 10$
164135	Simplify	(-6 square root of 6)(10 square root of -30)	$(- 6 \sqrt{6}) (10 \sqrt{- 30})$
164136	Simplify	(x^2-5x-24)/(x^2-9)*(x^2)/(x-8)	$\frac{x^{2} - 5 x - 24}{x^{2} - 9} \cdot \frac{x^{2}}{x - 8}$
164137	Simplify	((x^2-4)/(x-3))÷((x^2+7x-18)/(x+9))	$\frac{x^{2} - 4}{x - 3} \div \frac{x^{2} + 7 x - 18}{x + 9}$
164138	Write in Standard Form	-1/9+10x-2x^3+x^5-x^4	$- \frac{1}{9} + 10 x - 2 x^{3} + x^{5} - x^{4}$
164139	Solve the Inequality for x	(x-6)/(x+5)<0	$\frac{x - 6}{x + 5} < 0$
164140	Write in Slope-Intercept Form	4x+7y<14	$4 x + 7 y < 14$
164141	Find the Exact Value	(2/3)^4	${(\frac{2}{3})}^{4}$
164142	Graph	-2<x<=4	$- 2 < x \leq 4$
164143	Evaluate	(x-y)^3	${(x - y)}^{3}$
164144	Evaluate	4+(8÷4)^3-5	$4 + {(8 \div 4)}^{3} - 5$
164145	Solve for x	4^(2x)*2^x=476	$4^{2 x} \cdot 2^{x} = 476$
164146	Solve for y	y(2y+1)+10=0	$y (2 y + 1) + 10 = 0$
164147	Solve for x	8+4x=-10+x	$8 + 4 x = - 10 + x$
164148	Find the Distance Between Two Points	(0,-8) and (3,2)	$(0, - 8)$ and $(3, 2)$
164149	Solve for x	3(x-2)<2(x+9)	$3 (x - 2) < 2 (x + 9)$
164150	Find the Holes in the Graph	f(x)=(5x^2)/(3x^2+7x)	$f (x) = \frac{5 x^{2}}{3 x^{2} + 7 x}$
164151	Evaluate	sin(x)=0	$\sin (x) = 0$
164152	Solve for x	3/(x-2)=1/(x-1)+7/((x-1)(x-2))	$\frac{3}{x - 2} = \frac{1}{x - 1} + \frac{7}{(x - 1) (x - 2)}$
164153	Solve the System of Equations	1/2x-1/4y=10 1/8x-1/8y=19	$\frac{1}{2} x - \frac{1}{4} y = 10$ $\frac{1}{8} x - \frac{1}{8} y = 19$
164154	Solve for x	square root of 4x+5=3+ square root of 2x-6	$\sqrt{4 x + 5} = 3 + \sqrt{2 x - 6}$
164155	Solve for x	2(x+2)+3x=2(x+1)+1	$2 (x + 2) + 3 x = 2 (x + 1) + 1$
164156	Solve for x	u=2x-2 ; for x	$u = 2 x - 2$ ; for $x$
164157	Solve for x	square root of x-3 = square root of x-9	$\sqrt{x} - 3 = \sqrt{x - 9}$
164158	Find the Function	f(x)=4x-7	$f (x) = 4 x - 7$
164159	Solve for x	8/9=x+1/3(7)	$\frac{8}{9} = x + \frac{1}{3} (7)$
164160	Simplify	4 square root of 3*4 square root of 3	$4 \sqrt{3} \cdot 4 \sqrt{3}$
164161	Solve for p	p/4+8=7	$\frac{p}{4} + 8 = 7$
164162	Factor	x^2+xy+xz+yz	$x^{2} + x y + x z + y z$
164163	Solve for θ	cos(2theta-pi/2)=1	$\cos (2 θ - \frac{π}{2}) = 1$
164164	Find the Exact Value	sin(30 degrees )+cos(60 degrees )	$\sin (30 °) + \cos (60 °)$
164165	Solve the System of Inequalities	0>=x+4 or 9<x+4	$0 \geq x + 4$ or $9 < x + 4$
164166	Solve for f	g/f+Q=2	$\frac{g}{f} + Q = 2$
164167	Factor	4a^2x-5a^2y+15by-12bx	$4 a^{2} x - 5 a^{2} y + 15 b y - 12 b x$
164168	Simplify	-8x^3(10x^3y)	$- 8 x^{3} (10 x^{3} y)$
164169	Solve for x	4-6x-2=-2(3x-1)	$4 - 6 x - 2 = - 2 (3 x - 1)$
164170	Write in Standard Form	10+(x^5)/5+x^3	$10 + \frac{x^{5}}{5} + x^{3}$
164171	Find All Complex Solutions	9e-7=7e-11	$9 e - 7 = 7 e - 11$
164172	Solve for x	5+ square root of x=9	$5 + \sqrt{x} = 9$
164173	Find the Product	(m+n)^2	${(m + n)}^{2}$
164174	Graph	y<\|x+3\|	$y < \| x + 3 \|$
164175	Evaluate	-( square root of 2)/2-( square root of 2)/2	$- \frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}$
164176	Simplify	((5x)/(x+3))÷((x^2-8x+15)/(x^2-9))	$\frac{5 x}{x + 3} \div \frac{x^{2} - 8 x + 15}{x^{2} - 9}$
164177	Graph Using a Table of Values	y=-2^x	$y = - 2^{x}$
164178	Solve for x	x^2-16=-2x-1	$x^{2} - 16 = - 2 x - 1$
164179	Simplify	(x^2)/(4x+8)*(x^2-4)/(x^2+6x-16)	$\frac{x^{2}}{4 x + 8} \cdot \frac{x^{2} - 4}{x^{2} + 6 x - 16}$
164180	Simplify the Radical Expression	square root of 192	$\sqrt{192}$
164181	Factor	28a^4-16b^2+32c^3	$28 a^{4} - 16 b^{2} + 32 c^{3}$
164182	Find the x and y Intercepts	f(x) = natural log of x	$f (x) = \ln (x)$
164183	Solve for d	13d+8=-1	$13 d + 8 = - 1$
164184	Simplify	(12 square root of 12d^4)(7 square root of 4d^4)	$(12 \sqrt{12 d^{4}}) (7 \sqrt{4 d^{4}})$
164185	Solve for y	-3/2y=-1	$- \frac{3}{2} y = - 1$
164186	Write in Standard Form	-4x^3-9-x^2-(x^5)/9	$- 4 x^{3} - 9 - x^{2} - \frac{x^{5}}{9}$
164187	Simplify	((3a^4)^5)/(4a)	$\frac{{(3 a^{4})}^{5}}{4 a}$
164188	Simplify	6+8(4w-7)-(2w+1)	$6 + 8 (4 w - 7) - (2 w + 1)$
164189	Find the Exact Value	e^-1	$e^{- 1}$
164190	Simplify	(2-4/x)/(1-2/x)	$\frac{2 - \frac{4}{x}}{1 - \frac{2}{x}}$
164191	Solve the Absolute Value Inequality for x	\|x-2\|>11	$\| x - 2 \| > 11$
164192	Solve the Inequality for x	(x^2+x-12)/(x^2-4x+4)>0	$\frac{x^{2} + x - 12}{x^{2} - 4 x + 4} > 0$
164193	Solve for x	x^3(x^2-5)=-4x	$x^{3} (x^{2} - 5) = - 4 x$
164194	Graph	3/4(x+8)>1/2(2x+10)	$\frac{3}{4} (x + 8) > \frac{1}{2} (2 x + 10)$
164195	Find the Product	2x(-2x-3)	$2 x (- 2 x - 3)$
164196	Write in Standard Form	x^3+1/2x^4+8	$x^{3} + \frac{1}{2} x^{4} + 8$
164197	Solve for r	0=r+4	$0 = r + 4$
164198	Graph Using a Table of Values	y=x^2-9	$y = x^{2} - 9$
164199	Find the Holes in the Graph	f(x)=(x^2-25)/(4x+20)	$f (x) = \frac{x^{2} - 25}{4 x + 20}$
164200	Write in Standard Form	f(x)=x^2+6x+8	$f (x) = x^{2} + 6 x + 8$