Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191301	Evaluate	square root of x=4	$\sqrt{x} = 4$
191302	Graph	f(x)=-1/2(x-4)^2+3	$f (x) = - \frac{1}{2} {(x - 4)}^{2} + 3$
191303	Solve for y	y=5*2^1	$y = 5 \cdot 2^{1}$
191304	Solve the Inequality for m	7m-2>=61	$7 m - 2 \geq 61$
191305	Solve for n	-5(4-3n)=10(n-2)	$- 5 (4 - 3 n) = 10 (n - 2)$
191306	Simplify	(45x^2)/(x-9)*(x^2-5x-36)/(3x^3+12x^2)	$\frac{45 x^{2}}{x - 9} \cdot \frac{x^{2} - 5 x - 36}{3 x^{3} + 12 x^{2}}$
191307	Find the Vertices	((x+4)^2)/4+(y^2)/49=1	$\frac{{(x + 4)}^{2}}{4} + \frac{y^{2}}{49} = 1$
191308	Simplify	-9/14+2/7	$- \frac{9}{14} + \frac{2}{7}$
191309	Graph	p(x)=4x(x-3)(x+1)(2x-5)	$p (x) = 4 x (x - 3) (x + 1) (2 x - 5)$
191310	Solve for m	20+3m=5m	$20 + 3 m = 5 m$
191311	Solve for x	x/(x^2-1)=1/(x+1)	$\frac{x}{x^{2} - 1} = \frac{1}{x + 1}$
191312	Simplify the Radical Expression	x^2 square root of x^6	$x^{2} \sqrt{x^{6}}$
191313	Solve the Inequality for w	2\|3w+8\|-13<=-5	$2 \| 3 w + 8 \| - 13 \leq - 5$
191314	Solve for x	square root of x+1+8=6	$\sqrt{x + 1} + 8 = 6$
191315	Find the LCM	4 and 8	$4$ and $8$
191316	Simplify	(2-(18-3x))/((18-3x)+1)	$\frac{2 - (18 - 3 x)}{(18 - 3 x) + 1}$
191317	Find the Roots (Zeros)	x^3-3x^2+2x=0	$x^{3} - 3 x^{2} + 2 x = 0$
191318	Solve for p	6 log base 5 of 4p-3-2=16	$6 \log_{5} (4 p - 3) - 2 = 16$
191319	Solve for x	\|x\|+9<=7	$\| x \| + 9 \leq 7$
191320	Find the x and y Intercepts	f(x)=4+5^(x-1)	$f (x) = 4 + 5^{x - 1}$
191321	Factor	8(x+y)^3-y^3	$8 {(x + y)}^{3} - y^{3}$
191322	Graph	y>=-x^2+3	$y \geq - x^{2} + 3$
191323	Find f(g(x))	f(x) = square root of x and g(x)=x+6	$f (x) = \sqrt{x}$ and $g (x) = x + 6$
191324	Find the Excluded Values	(x-3)/(x^2-4)	$\frac{x - 3}{x^{2} - 4}$
191325	Find the Roots (Zeros)	y=(x-2)(x+3)^2(x+1)^3	$y = (x - 2) {(x + 3)}^{2} {(x + 1)}^{3}$
191326	Evaluate	6((4*(72-63))÷3)	$6 (4 \cdot (72 - 63) \div 3)$
191327	Solve for x	-4+x^2=-3x	$- 4 + x^{2} = - 3 x$
191328	Solve for x	x^3-x^2-x=-1	$x^{3} - x^{2} - x = - 1$
191329	Solve the Inequality for x	\|6x-3\|-4>8	$\| 6 x - 3 \| - 4 > 8$
191330	Solve the Inequality for x	2+3x<5x+8	$2 + 3 x < 5 x + 8$
191331	Solve for x	3/5x-1/3x=x-1	$\frac{3}{5} x - \frac{1}{3} x = x - 1$
191332	Find f(g(x))	f(x)=6/(1-7x) , g(x)=1/x	$f (x) = \frac{6}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
191333	Simplify	1/2 fourth root of 32	$\frac{1}{2} \sqrt[4]{32}$
191334	Solve for x	-6x+1/2(x-1)-3/2=-3x	$- 6 x + \frac{1}{2} (x - 1) - \frac{3}{2} = - 3 x$
191335	Solve for x	x=4/(5-2i)	$x = \frac{4}{5 - 2 i}$
191336	Solve for a	4a-3(a-2)=2(3a-2)	$4 a - 3 (a - 2) = 2 (3 a - 2)$
191337	Find the Exact Value	tan(-165 degrees )	$\tan (- 165 °)$
191338	Simplify	1/(b+1)+(b^2+2)/(b^2-b-2)-b/(b-2)	$\frac{1}{b + 1} + \frac{b^{2} + 2}{b^{2} - b - 2} - \frac{b}{b - 2}$
191339	Factor	2x^2-3xy-3y+2x	$2 x^{2} - 3 x y - 3 y + 2 x$
191340	Solve for x	-(2x)/(x+3)-4/(x-5)=-32/(x^2-2x-15)	$- \frac{2 x}{x + 3} - \frac{4}{x - 5} = \frac{- 32}{x^{2} - 2 x - 15}$
191341	Simplify	((x^2-14x+49)/(x^2-49))÷((3x-21)/(x+7))	$\frac{x^{2} - 14 x + 49}{x^{2} - 49} \div \frac{3 x - 21}{x + 7}$
191342	Simplify	-(y-x)+6(5x+7)	$- (y - x) + 6 (5 x + 7)$
191343	Graph	0>x/5	$0 > \frac{x}{5}$
191344	Solve the System of Inequalities	3<=(2x-3)/5<7	$3 \leq \frac{2 x - 3}{5} < 7$
191345	Evaluate	4r^-3*2r^2	$4 r^{- 3} \cdot 2 r^{2}$
191346	Solve for r	2/(r+4)=4/r	$\frac{2}{r + 4} = \frac{4}{r}$
191347	Simplify	( square root of 7- square root of 10)( square root of 5+ square root of 14)	$(\sqrt{7} - \sqrt{10}) (\sqrt{5} + \sqrt{14})$
191348	Factor	6r+9rs-15rs^2	$6 r + 9 r s - 15 r s^{2}$
191349	Solve for x	6/(x-3)=(8x^2)/(x^2-9)-(4x)/(x+3)	$\frac{6}{x - 3} = \frac{8 x^{2}}{x^{2} - 9} - \frac{4 x}{x + 3}$
191350	Solve for x	(x+4)^2-3(x+4)-3=0	${(x + 4)}^{2} - 3 (x + 4) - 3 = 0$
191351	Solve for θ	(tan(theta)+1)(sec(theta)+1)=0	$(\tan (θ) + 1) (\sec (θ) + 1) = 0$
191352	Simplify	square root of (2- square root of 3)^2	$\sqrt{{(2 - \sqrt{3})}^{2}}$
191353	Write in Standard Form	5x^2-8-4x^2-4	$5 x^{2} - 8 - 4 x^{2} - 4$
191354	Graph	x/4+y=-2	$\frac{x}{4} + y = - 2$
191355	Simplify	((x^2+8x+16)/(x+3))÷((2x+8)/(x^2-9))	$\frac{x^{2} + 8 x + 16}{x + 3} \div \frac{2 x + 8}{x^{2} - 9}$
191356	Find the Equation Using Point-Slope Formula	(-4,8) and (4,4)	$(- 4, 8)$ and $(4, 4)$
191357	Graph	sin(theta)>0 , cot(theta)>0	$\sin (θ) > 0$ , $\cot (θ) > 0$
191358	Solve the System of Equations	-x+3y+2z=-5 x-y-z=1 -3x+5y+4z=-7	$- x + 3 y + 2 z = - 5$ $x - y - z = 1$ $- 3 x + 5 y + 4 z = - 7$
191359	Solve for x	1=e^x	$1 = e^{x}$
191360	Simplify	( square root of 25)/( square root of 16)	$\frac{\sqrt{25}}{\sqrt{16}}$
191361	Simplify	((x^2-8x+16)/(x^2+4x-21))/((-2x+8)/(x+7))	$\frac{\frac{x^{2} - 8 x + 16}{x^{2} + 4 x - 21}}{\frac{- 2 x + 8}{x + 7}}$
191362	Graph	y=1/3f(x-3)-5	$y = \frac{1}{3} f (x - 3) - 5$
191363	Solve the Inequality for a	3x+8+2ax>=3ax-4a	$3 x + 8 + 2 a x \geq 3 a x - 4 a$
191364	Simplify	x/(x square root of 2)	$\frac{x}{x \sqrt{2}}$
191365	Simplify	2(2x+7)^2-6(2x+7)+5	$2 {(2 x + 7)}^{2} - 6 (2 x + 7) + 5$
191366	Simplify	(24+5n-n^2)/(n^2-16n+64)	$\frac{24 + 5 n - n^{2}}{n^{2} - 16 n + 64}$
191367	Solve for b	ab-3=-2b	$a b - 3 = - 2 b$
191368	Solve for x	(3x-7)/2-(2x+5)/3=9	$\frac{3 x - 7}{2} - \frac{2 x + 5}{3} = 9$
191369	Find All Complex Solutions	2cos(x)^2-cos(x)=0	$2 \cos^{2} (x) - \cos (x) = 0$
191370	Find the Exact Value	sec(-pi/4)^2	$\sec^{2} (- \frac{π}{4})$
191371	Solve Using the Quadratic Formula	(x+1)^2=2(x-3)	${(x + 1)}^{2} = 2 (x - 3)$
191372	Solve the Inequality for y	14+10y>=3(y+14)	$14 + 10 y \geq 3 (y + 14)$
191373	Simplify	6(1/3h+1)	$6 (\frac{1}{3} h + 1)$
191374	Solve the Inequality for x	-6<10-4x<=18	$- 6 < 10 - 4 x \leq 18$
191375	Evaluate the Function	g(x)=x^6-64x^4+x^2-7x-51 , x=8	$g (x) = x^{6} - 64 x^{4} + x^{2} - 7 x - 51$ , $x = 8$
191376	Evaluate the Function	h(x)=5x^3-3x+9 given x=3	$h (x) = 5 x^{3} - 3 x + 9$ given $x = 3$
191377	Solve Using the Quadratic Formula	f(x)=-x^2-2x+3	$f (x) = - x^{2} - 2 x + 3$
191378	Graph Using a Table of Values	y=\|x-1\|+3	$y = \| x - 1 \| + 3$
191379	Find the Equation Using Two Points	f(0)=7 and f(3)=1	$f (0) = 7$ and $f (3) = 1$
191380	Solve for y	(1-y)/7+y=y/2+3	$\frac{1 - y}{7} + y = \frac{y}{2} + 3$
191381	Solve for x	(4x)/2=-5	$\frac{4 x}{2} = - 5$
191382	Write in Slope-Intercept Form	(1,3) and (-1,5)	$(1, 3)$ and $(- 1, 5)$
191383	Solve for a	3/2=(a-3)/(a+1)	$\frac{3}{2} = \frac{a - 3}{a + 1}$
191384	Multiply	(9+x)(9-x)	$(9 + x) (9 - x)$
191385	Factor	x^2y^3+5xy^2+3x^3y^3-2x^4y	$x^{2} y^{3} + 5 x y^{2} + 3 x^{3} y^{3} - 2 x^{4} y$
191386	Solve for x	(x+7)/(x+4)+3/(x+6)=3/(x+6)	$\frac{x + 7}{x + 4} + \frac{3}{x + 6} = \frac{3}{x + 6}$
191387	Simplify	100^(1/2)-125^(1/3)	$100^{\frac{1}{2}} - 125^{\frac{1}{3}}$
191388	Multiply	(7a-1)(x^2+2x-5)	$(7 a - 1) (x^{2} + 2 x - 5)$
191389	Solve for x	8 1/3-x=5 1/4-14 1/2	$8 \frac{1}{3} - x = 5 \frac{1}{4} - 14 \frac{1}{2}$
191390	Subtract	(8x)/(x^2+8x+16)-6/(x^2+4x)	$\frac{8 x}{x^{2} + 8 x + 16} - \frac{6}{x^{2} + 4 x}$
191391	Multiply	(3m^3n^2)(4mn+2m^3n-3m^2n^3p)	$(3 m^{3} n^{2}) (4 m n + 2 m^{3} n - 3 m^{2} n^{3} p)$
191392	Solve for x	x+(2/3x-15)=180	$x + (\frac{2}{3} x - 15) = 180$
191393	Solve the Inequality for x	(x-3)^2+5x>=(1-x)^2+3x	${(x - 3)}^{2} + 5 x \geq {(1 - x)}^{2} + 3 x$
191394	Find All Complex Solutions	square root of 1-3x=x+3	$\sqrt{1 - 3 x} = x + 3$
191395	Find the Roots (Zeros)	9x^2-4=7x^2-7x	$9 x^{2} - 4 = 7 x^{2} - 7 x$
191396	Solve for x	log base a of a^2=x	$\log_{a} (a^{2}) = x$
191397	Simplify	3x^2-5x^3-x(2x^2+4x)	$3 x^{2} - 5 x^{3} - x (2 x^{2} + 4 x)$
191398	Evaluate	2/2+7+4+4+2	$\frac{2}{2} + 7 + 4 + 4 + 2$
191399	Solve for g	g/h=e-10 for g	$\frac{g}{h} = e - 10$ for $g$
191400	Factor by Grouping	x^4-2x^2+1	$x^{4} - 2 x^{2} + 1$