Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216401	Simplify	(-10x^5+12x^2-6x)/(2x^2)	$\frac{- 10 x^{5} + 12 x^{2} - 6 x}{2 x^{2}}$
216402	Solve for a	y=a*2^x	$y = a \cdot 2^{x}$
216403	Solve the Inequality for x	5(2x-1)>=3x+7+x	$5 (2 x - 1) \geq 3 x + 7 + x$
216404	Solve for u	-8/(2u+6)+2=-4/(u+3)	$- \frac{8}{2 u + 6} + 2 = - \frac{4}{u + 3}$
216405	Solve for x	5/2(2-3/4x)-3/2=12x+8/5	$\frac{5}{2} (2 - \frac{3}{4} x) - \frac{3}{2} = 12 x + \frac{8}{5}$
216406	Solve for x	(4^x)^(x+1)=16	${(4^{x})}^{x + 1} = 16$
216407	Solve for x	(2x)/3>4	$\frac{2 x}{3} > 4$
216408	Subtract	(8x-3)/(16x+28)-(x-7)/(4x+7)	$\frac{8 x - 3}{16 x + 28} - \frac{x - 7}{4 x + 7}$
216409	Solve the System of Inequalities	x+3y<-18 5x+2y<=14	$x + 3 y < - 18$ $5 x + 2 y \leq 14$
216410	Simplify	((3xy^3)/(2z))^3	${(\frac{3 x y^{3}}{2 z})}^{3}$
216411	Solve for s	6s-1=3s	$6 s - 1 = 3 s$
216412	Graph	f(x)=(-4x-12)/(2x^2+5x-3)	$f (x) = \frac{- 4 x - 12}{2 x^{2} + 5 x - 3}$
216413	Write in Standard Form	2+1/2x=y	$2 + \frac{1}{2} x = y$
216414	Simplify	(5x+1)/(5x)-(4x+1)/(4x)	$\frac{5 x + 1}{5 x} - \frac{4 x + 1}{4 x}$
216415	Simplify	4x5x^32x^5	$4 x \cdot 5 x^{3} \cdot 2 x^{5}$
216416	Find the Roots (Zeros)	3(x+4)^2=10x+32	$3 {(x + 4)}^{2} = 10 x + 32$
216417	Solve for a	2a^2+ab=0	$2 a^{2} + a b = 0$
216418	Graph Using a Table of Values	f(x)=5*(1/2)^x	$f (x) = 5 \cdot {(\frac{1}{2})}^{x}$
216419	Solve for x	-3 = cube root of 2x+439-12	$- 3 = \sqrt[3]{2 x + 439} - 12$
216420	Solve for n	4(n-26)^(1/4)=12	$4 {(n - 26)}^{\frac{1}{4}} = 12$
216421	Solve the Inequality for x	14<2x+4<=6	$14 < 2 x + 4 \leq 6$
216422	Solve for a	g(a)=3a+1	$g (a) = 3 a + 1$
216423	Simplify	cube root of (a^3)/(-512y)	$\sqrt[3]{\frac{a^{3}}{- 512 y}}$
216424	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-5x^2+3x+1 is divided by x-1	Use synthetic division to find the result when $x^{3} - 5 x^{2} + 3 x + 1$ is divided by $x - 1$
216425	Solve for x	cube root of x^2-2=4	$\sqrt[3]{x^{2} - 2} = 4$
216426	Find the Domain and Range	f(x) = fourth root of 3x^2+1	$f (x) = \sqrt[4]{3 x^{2} + 1}$
216427	Evaluate	(5-2i^2)^2	${(5 - 2 i^{2})}^{2}$
216428	Solve for x	(h^2)(h^10)=(h^2)^(x^2+5x+6)	$(h^{2}) (h^{10}) = {(h^{2})}^{x^{2} + 5 x + 6}$
216429	Solve for x	y>=x^2-2x-3	$y \geq x^{2} - 2 x - 3$
216430	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^2- square root of 3x+2	$f (x) = 8 x^{2} - \sqrt{3} x + 2$
216431	Find the Product	(a+2b+3c)^2	${(a + 2 b + 3 c)}^{2}$
216432	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-9x^3+5x^2+23x+8 is divided by x-8	Use synthetic division to find the result when $x^{4} - 9 x^{3} + 5 x^{2} + 23 x + 8$ is divided by $x - 8$
216433	Evaluate	(x^(2/3))^2	${(x^{\frac{2}{3}})}^{2}$
216434	Solve the System of Inequalities	y>=x/2-3 y<2x	$y \geq \frac{x}{2} - 3$ $y < 2 x$
216435	Solve the System of Equations	y=-x^2+5x+1 y=2x-3	$y = - x^{2} + 5 x + 1$ $y = 2 x - 3$
216436	Evaluate	60/360(2pi*15)	$\frac{60}{360} (2 π \cdot 15)$
216437	Find the LCM	20 and 5	$20$ and $5$
216438	Describe the Transformation	y=3 square root of x+5+2	$y = 3 \sqrt{x + 5} + 2$
216439	Factor	y=x^4-9x^2	$y = x^{4} - 9 x^{2}$
216440	Simplify	4^x+4^x	$4^{x} + 4^{x}$
216441	Simplify	square root of square root of square root of 625	$\sqrt{\sqrt{\sqrt{625}}}$
216442	Simplify	-1/2x^4+5-1/3x^4-2	$- \frac{1}{2} x^{4} + 5 - \frac{1}{3} x^{4} - 2$
216443	Solve the Inequality for x	(3x+1)/(x-7)<=0	$\frac{3 x + 1}{x - 7} \leq 0$
216444	Graph	f(x) = square root of -(x+3)+1	$f (x) = \sqrt{- (x + 3)} + 1$
216445	Solve the Rational Equation for x	(2x)/(x-3)=(3x)/(x-2)	$\frac{2 x}{x - 3} = \frac{3 x}{x - 2}$
216446	Divide	(2i)/(1-i)	$\frac{2 i}{1 - i}$
216447	Solve the System of Equations	-3x+7y=-18 and 4x-4y=8	$- 3 x + 7 y = - 18$ and $4 x - 4 y = 8$
216448	Find the Distance Between Two Points	(6,2) and (4,-2)	$(6, 2)$ and $(4, - 2)$
216449	Solve for v	v/2.2-0.1=7.4	$\frac{v}{2.2} - 0.1 = 7.4$
216450	Solve for x	(x-3)^2+(x+1)^2=(x-2)^2+(x+3)^2	${(x - 3)}^{2} + {(x + 1)}^{2} = {(x - 2)}^{2} + {(x + 3)}^{2}$
216451	Simplify the Radical Expression	(9^6*7^-9)^-4	${(9^{6} \cdot 7^{- 9})}^{- 4}$
216452	Simplify	4x+8-6x+4(x-3)	$4 x + 8 - 6 x + 4 (x - 3)$
216453	Divide	(2.1810^10)÷1.0910^12	$2.18 \cdot 10^{10} \div 1.09 \cdot 10^{12}$
216454	Simplify	3x^3y^52x^5-3xy^4	$3 x^{3} y^{5} \cdot 2 x^{5} \cdot - 3 x y^{4}$
216455	Graph	y<=x-3 y>=x+1	$y \leq x - 3$ $y \geq x + 1$
216456	Evaluate	e^0+e^(-0)	$e^{0} + e^{- 0}$
216457	Solve the Inequality for x	\|x\|-2>0	$\| x \| - 2 > 0$
216458	Evaluate	4.51/4+2.51/4+7*1/4	$4.5 \cdot \frac{1}{4} + 2.5 \cdot \frac{1}{4} + 7 \cdot \frac{1}{4}$
216459	Evaluate	(144k^2r^14)^(1/2)	${(144 k^{2} r^{14})}^{\frac{1}{2}}$
216460	Graph	y=-(x^2+2)	$y = - (x^{2} + 2)$
216461	Simplify	csc(theta)tan(theta)cos(theta)	$\csc (θ) \tan (θ) \cos (θ)$
216462	Simplify	(2x+1)/(8x^4)-3/(2x^3)	$\frac{2 x + 1}{8 x^{4}} - \frac{3}{2 x^{3}}$
216463	Factor	90x^4+384x^3+432x^2-96	$90 x^{4} + 384 x^{3} + 432 x^{2} - 96$
216464	Factor by Grouping	3x^4+2x^2-8	$3 x^{4} + 2 x^{2} - 8$
216465	Simplify	(3b)/2-(4a)/(6a^2b)	$\frac{3 b}{2} - \frac{4 a}{6 a^{2} b}$
216466	Simplify the Radical Expression	( square root of 24)( square root of 6)	$(\sqrt{24}) (\sqrt{6})$
216467	Find the GCF	a^7b^2-ab^2	$a^{7} b^{2} - a b^{2}$
216468	Find the x and y Intercepts	f(x)=(-x^3+2x^2+4)/(x-8)	$f (x) = \frac{- x^{3} + 2 x^{2} + 4}{x - 8}$
216469	Factor	4x(x-3y)-2(x-3y)	$4 x (x - 3 y) - 2 (x - 3 y)$
216470	Simplify the Radical Expression	9 square root of 8y	$9 \sqrt{8 y}$
216471	Graph	x>0 or x<-4	$x > 0$ or $x < - 4$
216472	Simplify	(9x^-5y^-2)/y	$\frac{9 x^{- 5} y^{- 2}}{y}$
216473	Evaluate	(2pi)÷(2/3)	$2 π \div \frac{2}{3}$
216474	Simplify	(x^2-3x)/3*(6x^2)/(x-3)	$\frac{x^{2} - 3 x}{3} \cdot \frac{6 x^{2}}{x - 3}$
216475	Convert to Interval Notation	x<7 or x<8	$x < 7$ or $x < 8$
216476	Simplify	( square root of 2+3)/(3 square root of 2+3)	$\frac{\sqrt{2} + 3}{3 \sqrt{2} + 3}$
216477	Simplify	x/3-x/5	$\frac{x}{3} - \frac{x}{5}$
216478	Write in Standard Form	(x-3)^2(x+3)	${(x - 3)}^{2} (x + 3)$
216479	Simplify the Radical Expression	sixth root of 64(2y+1)^18	$\sqrt[6]{64 {(2 y + 1)}^{18}}$
216480	Solve the System of Equations	12y-21x=-5 y=7/4x+10	$12 y - 21 x = - 5$ $y = \frac{7}{4} x + 10$
216481	Solve for r	2 square root of r = square root of 3r+9	$2 \sqrt{r} = \sqrt{3 r + 9}$
216482	Solve the Inequality for y	-4>y+2>-10	$- 4 > y + 2 > - 10$
216483	Solve by Completing the Square	y=x^2+6x+11	$y = x^{2} + 6 x + 11$
216484	Simplify	6/(3- square root of 5)	$\frac{6}{3 - \sqrt{5}}$
216485	Solve the Inequality for x	x^2+15x<=6x-18	$x^{2} + 15 x \leq 6 x - 18$
216486	Simplify the Radical Expression	( square root of 5)/( square root of 8)	$\frac{\sqrt{5}}{\sqrt{8}}$
216487	Simplify	x^2xx^-5	$x^{2} \cdot x \cdot x^{- 5}$
216488	Solve for x	x^8=256	$x^{8} = 256$
216489	Solve for n	-6(-n+19)=-(-12+12n)	$- 6 (- n + 19) = - (- 12 + 12 n)$
216490	Evaluate	i^20i^32i^19	$i^{20} \cdot i^{32} \cdot i^{19}$
216491	Solve for x	-13x+x=8x-20x	$- 13 x + x = 8 x - 20 x$
216492	Solve for x	5^(x+1)-3/25=2.5^x	$5^{x + 1} - \frac{3}{25} = {2.5}^{x}$
216493	Determine if Linear	f(x)=2(x-3)	$f (x) = 2 (x - 3)$
216494	Solve by Substitution	2x-y=23 and x-9=-1	$2 x - y = 23$ and $x - 9 = - 1$
216495	Rationalize the Denominator	-2/(6- square root of 6)	$\frac{- 2}{6 - \sqrt{6}}$
216496	Solve for x	3x^2+174=48x	$3 x^{2} + 174 = 48 x$
216497	Simplify	cube root of 1/2x	$\sqrt[3]{\frac{1}{2} x}$
216498	Evaluate	limit as x approaches 0 of 2/((sin(x))/x)+(1-cos(x))/x+(tan(x))/x	$lim_{x \to 0} \frac{2}{\frac{\sin (x)}{x}} + \frac{1 - \cos (x)}{x} + \frac{\tan (x)}{x}$
216499	Simplify	(p^-9q^-4)/(r^2s^-3)	$\frac{p^{- 9} q^{- 4}}{r^{2} s^{- 3}}$
216500	Solve for y	4y+-9=-45	$4 y + - 9 = - 45$