Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191301	Solve for t	b=t-lc	$b = t - l c$
191302	Graph	{x\|x<=-3}	${x \| x \leq - 3}$
191303	Graph	y-5=-1/2(x-3)^2	$y - 5 = - \frac{1}{2} {(x - 3)}^{2}$
191304	Write in Standard Form	1-3x-2x^2=3x^2+1	$1 - 3 x - 2 x^{2} = 3 x^{2} + 1$
191305	Find the x and y Intercepts	(x^2+2x)/(-2x^2+10x)	$\frac{x^{2} + 2 x}{- 2 x^{2} + 10 x}$
191306	Expand the Logarithmic Expression	log of (z^2)/( square root of x^3y)	$\log (\frac{z^{2}}{\sqrt{x^{3}} y})$
191307	Solve for x	12-(4x-18)=(36+4x)+(18-6x)	$12 - (4 x - 18) = (36 + 4 x) + (18 - 6 x)$
191308	Simplify	3^22^3-3 square root of 5^2+15(3+2)	$3^{2} \cdot 2^{3} - 3 \cdot \sqrt{5^{2} + 15 (3 + 2)}$
191309	Solve for y	-12 2/3=-1 1/9y	$- 12 \frac{2}{3} = - 1 \frac{1}{9} y$
191310	Solve for x	square root of x-15=3- square root of x	$\sqrt{x - 15} = 3 - \sqrt{x}$
191311	Evaluate	(5/7)^10*1.4^9	${(\frac{5}{7})}^{10} \cdot {1.4}^{9}$
191312	Evaluate	f(x-1)=2x+3	$f (x - 1) = 2 x + 3$
191313	Solve for x	3/x+5/(x+2)=2	$\frac{3}{x} + \frac{5}{x + 2} = 2$
191314	Graph	f(x)=x/((x-3)(x+1))	$f (x) = \frac{x}{(x - 3) (x + 1)}$
191315	Factor	5a^4b^4+25a^8b^3-30a^9b^4	$5 a^{4} b^{4} + 25 a^{8} b^{3} - 30 a^{9} b^{4}$
191316	Evaluate	square root of x=4	$\sqrt{x} = 4$
191317	Graph	f(x)=-1/2(x-4)^2+3	$f (x) = - \frac{1}{2} {(x - 4)}^{2} + 3$
191318	Solve for y	y=5*2^1	$y = 5 \cdot 2^{1}$
191319	Solve the Inequality for m	7m-2>=61	$7 m - 2 \geq 61$
191320	Solve for n	-5(4-3n)=10(n-2)	$- 5 (4 - 3 n) = 10 (n - 2)$
191321	Simplify	(45x^2)/(x-9)*(x^2-5x-36)/(3x^3+12x^2)	$\frac{45 x^{2}}{x - 9} \cdot \frac{x^{2} - 5 x - 36}{3 x^{3} + 12 x^{2}}$
191322	Find the Vertices	((x+4)^2)/4+(y^2)/49=1	$\frac{{(x + 4)}^{2}}{4} + \frac{y^{2}}{49} = 1$
191323	Simplify	-9/14+2/7	$- \frac{9}{14} + \frac{2}{7}$
191324	Graph	p(x)=4x(x-3)(x+1)(2x-5)	$p (x) = 4 x (x - 3) (x + 1) (2 x - 5)$
191325	Solve for m	20+3m=5m	$20 + 3 m = 5 m$
191326	Solve for x	x/(x^2-1)=1/(x+1)	$\frac{x}{x^{2} - 1} = \frac{1}{x + 1}$
191327	Simplify the Radical Expression	x^2 square root of x^6	$x^{2} \sqrt{x^{6}}$
191328	Solve the Inequality for w	2\|3w+8\|-13<=-5	$2 \| 3 w + 8 \| - 13 \leq - 5$
191329	Solve for x	square root of x+1+8=6	$\sqrt{x + 1} + 8 = 6$
191330	Find the LCM	4 and 8	$4$ and $8$
191331	Simplify	(2-(18-3x))/((18-3x)+1)	$\frac{2 - (18 - 3 x)}{(18 - 3 x) + 1}$
191332	Find the Roots (Zeros)	x^3-3x^2+2x=0	$x^{3} - 3 x^{2} + 2 x = 0$
191333	Solve for p	6 log base 5 of 4p-3-2=16	$6 \log_{5} (4 p - 3) - 2 = 16$
191334	Solve for x	\|x\|+9<=7	$\| x \| + 9 \leq 7$
191335	Find the x and y Intercepts	f(x)=4+5^(x-1)	$f (x) = 4 + 5^{x - 1}$
191336	Factor	8(x+y)^3-y^3	$8 {(x + y)}^{3} - y^{3}$
191337	Graph	y>=-x^2+3	$y \geq - x^{2} + 3$
191338	Find f(g(x))	f(x) = square root of x and g(x)=x+6	$f (x) = \sqrt{x}$ and $g (x) = x + 6$
191339	Find the Excluded Values	(x-3)/(x^2-4)	$\frac{x - 3}{x^{2} - 4}$
191340	Find the Roots (Zeros)	y=(x-2)(x+3)^2(x+1)^3	$y = (x - 2) {(x + 3)}^{2} {(x + 1)}^{3}$
191341	Evaluate	6((4*(72-63))÷3)	$6 (4 \cdot (72 - 63) \div 3)$
191342	Solve for x	-4+x^2=-3x	$- 4 + x^{2} = - 3 x$
191343	Solve for x	x^3-x^2-x=-1	$x^{3} - x^{2} - x = - 1$
191344	Solve the Inequality for x	\|6x-3\|-4>8	$\| 6 x - 3 \| - 4 > 8$
191345	Solve the Inequality for x	2+3x<5x+8	$2 + 3 x < 5 x + 8$
191346	Solve for x	3/5x-1/3x=x-1	$\frac{3}{5} x - \frac{1}{3} x = x - 1$
191347	Find f(g(x))	f(x)=6/(1-7x) , g(x)=1/x	$f (x) = \frac{6}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
191348	Simplify	1/2 fourth root of 32	$\frac{1}{2} \sqrt[4]{32}$
191349	Solve for x	-6x+1/2(x-1)-3/2=-3x	$- 6 x + \frac{1}{2} (x - 1) - \frac{3}{2} = - 3 x$
191350	Solve for x	x=4/(5-2i)	$x = \frac{4}{5 - 2 i}$
191351	Solve for a	4a-3(a-2)=2(3a-2)	$4 a - 3 (a - 2) = 2 (3 a - 2)$
191352	Find the Exact Value	tan(-165 degrees )	$\tan (- 165 °)$
191353	Simplify	1/(b+1)+(b^2+2)/(b^2-b-2)-b/(b-2)	$\frac{1}{b + 1} + \frac{b^{2} + 2}{b^{2} - b - 2} - \frac{b}{b - 2}$
191354	Factor	2x^2-3xy-3y+2x	$2 x^{2} - 3 x y - 3 y + 2 x$
191355	Solve for x	-(2x)/(x+3)-4/(x-5)=-32/(x^2-2x-15)	$- \frac{2 x}{x + 3} - \frac{4}{x - 5} = \frac{- 32}{x^{2} - 2 x - 15}$
191356	Simplify	((x^2-14x+49)/(x^2-49))÷((3x-21)/(x+7))	$\frac{x^{2} - 14 x + 49}{x^{2} - 49} \div \frac{3 x - 21}{x + 7}$
191357	Simplify	-(y-x)+6(5x+7)	$- (y - x) + 6 (5 x + 7)$
191358	Graph	0>x/5	$0 > \frac{x}{5}$
191359	Solve the System of Inequalities	3<=(2x-3)/5<7	$3 \leq \frac{2 x - 3}{5} < 7$
191360	Evaluate	4r^-3*2r^2	$4 r^{- 3} \cdot 2 r^{2}$
191361	Solve for r	2/(r+4)=4/r	$\frac{2}{r + 4} = \frac{4}{r}$
191362	Simplify	( square root of 7- square root of 10)( square root of 5+ square root of 14)	$(\sqrt{7} - \sqrt{10}) (\sqrt{5} + \sqrt{14})$
191363	Factor	6r+9rs-15rs^2	$6 r + 9 r s - 15 r s^{2}$
191364	Solve for x	6/(x-3)=(8x^2)/(x^2-9)-(4x)/(x+3)	$\frac{6}{x - 3} = \frac{8 x^{2}}{x^{2} - 9} - \frac{4 x}{x + 3}$
191365	Solve for x	(x+4)^2-3(x+4)-3=0	${(x + 4)}^{2} - 3 (x + 4) - 3 = 0$
191366	Solve for θ	(tan(theta)+1)(sec(theta)+1)=0	$(\tan (θ) + 1) (\sec (θ) + 1) = 0$
191367	Simplify	square root of (2- square root of 3)^2	$\sqrt{{(2 - \sqrt{3})}^{2}}$
191368	Write in Standard Form	5x^2-8-4x^2-4	$5 x^{2} - 8 - 4 x^{2} - 4$
191369	Graph	x/4+y=-2	$\frac{x}{4} + y = - 2$
191370	Simplify	((x^2+8x+16)/(x+3))÷((2x+8)/(x^2-9))	$\frac{x^{2} + 8 x + 16}{x + 3} \div \frac{2 x + 8}{x^{2} - 9}$
191371	Find the Equation Using Point-Slope Formula	(-4,8) and (4,4)	$(- 4, 8)$ and $(4, 4)$
191372	Graph	sin(theta)>0 , cot(theta)>0	$\sin (θ) > 0$ , $\cot (θ) > 0$
191373	Solve the System of Equations	-x+3y+2z=-5 x-y-z=1 -3x+5y+4z=-7	$- x + 3 y + 2 z = - 5$ $x - y - z = 1$ $- 3 x + 5 y + 4 z = - 7$
191374	Solve for x	1=e^x	$1 = e^{x}$
191375	Simplify	( square root of 25)/( square root of 16)	$\frac{\sqrt{25}}{\sqrt{16}}$
191376	Simplify	((x^2-8x+16)/(x^2+4x-21))/((-2x+8)/(x+7))	$\frac{\frac{x^{2} - 8 x + 16}{x^{2} + 4 x - 21}}{\frac{- 2 x + 8}{x + 7}}$
191377	Graph	y=1/3f(x-3)-5	$y = \frac{1}{3} f (x - 3) - 5$
191378	Solve the Inequality for a	3x+8+2ax>=3ax-4a	$3 x + 8 + 2 a x \geq 3 a x - 4 a$
191379	Simplify	x/(x square root of 2)	$\frac{x}{x \sqrt{2}}$
191380	Simplify	2(2x+7)^2-6(2x+7)+5	$2 {(2 x + 7)}^{2} - 6 (2 x + 7) + 5$
191381	Simplify	(24+5n-n^2)/(n^2-16n+64)	$\frac{24 + 5 n - n^{2}}{n^{2} - 16 n + 64}$
191382	Solve for b	ab-3=-2b	$a b - 3 = - 2 b$
191383	Solve for x	(3x-7)/2-(2x+5)/3=9	$\frac{3 x - 7}{2} - \frac{2 x + 5}{3} = 9$
191384	Find All Complex Solutions	2cos(x)^2-cos(x)=0	$2 \cos^{2} (x) - \cos (x) = 0$
191385	Find the Exact Value	sec(-pi/4)^2	$\sec^{2} (- \frac{π}{4})$
191386	Solve Using the Quadratic Formula	(x+1)^2=2(x-3)	${(x + 1)}^{2} = 2 (x - 3)$
191387	Solve the Inequality for y	14+10y>=3(y+14)	$14 + 10 y \geq 3 (y + 14)$
191388	Simplify	6(1/3h+1)	$6 (\frac{1}{3} h + 1)$
191389	Solve the Inequality for x	-6<10-4x<=18	$- 6 < 10 - 4 x \leq 18$
191390	Evaluate the Function	g(x)=x^6-64x^4+x^2-7x-51 , x=8	$g (x) = x^{6} - 64 x^{4} + x^{2} - 7 x - 51$ , $x = 8$
191391	Evaluate the Function	h(x)=5x^3-3x+9 given x=3	$h (x) = 5 x^{3} - 3 x + 9$ given $x = 3$
191392	Solve Using the Quadratic Formula	f(x)=-x^2-2x+3	$f (x) = - x^{2} - 2 x + 3$
191393	Graph Using a Table of Values	y=\|x-1\|+3	$y = \| x - 1 \| + 3$
191394	Find the Equation Using Two Points	f(0)=7 and f(3)=1	$f (0) = 7$ and $f (3) = 1$
191395	Solve for y	(1-y)/7+y=y/2+3	$\frac{1 - y}{7} + y = \frac{y}{2} + 3$
191396	Solve for x	(4x)/2=-5	$\frac{4 x}{2} = - 5$
191397	Write in Slope-Intercept Form	(1,3) and (-1,5)	$(1, 3)$ and $(- 1, 5)$
191398	Solve for a	3/2=(a-3)/(a+1)	$\frac{3}{2} = \frac{a - 3}{a + 1}$
191399	Multiply	(9+x)(9-x)	$(9 + x) (9 - x)$
191400	Factor	x^2y^3+5xy^2+3x^3y^3-2x^4y	$x^{2} y^{3} + 5 x y^{2} + 3 x^{3} y^{3} - 2 x^{4} y$