Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184901	Divide	(2x^2)÷(x^2)	$2 x^{2} \div x^{2}$
184902	Simplify	(3x+5x^2-1)+(13-20x+x^2)	$(3 x + 5 x^{2} - 1) + (13 - 20 x + x^{2})$
184903	Graph	y=x+\|x\|	$y = x + \| x \|$
184904	Find All Complex Solutions	-sin(2x)+cos(x)=0	$- \sin (2 x) + \cos (x) = 0$
184905	Graph Using a Table of Values	y=2^x+3	$y = 2^{x} + 3$
184906	Simplify	5^2+12^2	$5^{2} + 12^{2}$
184907	Find the Domain of the Composition f(g(x))	f(x)=6x+1 , g(x) = square root of x	$f (x) = 6 x + 1$ , $g (x) = \sqrt{x}$
184908	Solve for z	x=y+z	$x = y + z$
184909	Graph	f(x)=x-4 if x<=1; 3x if x>1	$f (x) = {\begin{cases} x - 4 & x \leq 1 \\ 3 x & x > 1 \end{cases}$
184910	Solve the Inequality for x	3(x-7)+4>=22	$3 (x - 7) + 4 \geq 22$
184911	Solve for x	-(5/4x+1)+1/4=1	$- (\frac{5}{4} x + 1) + \frac{1}{4} = 1$
184912	Solve the Inequality for x	(2x+1)/x<1	$\frac{2 x + 1}{x} < 1$
184913	Simplify	(sin(A)^2)/(tan(A))	$\frac{\sin^{2} (A)}{\tan (A)}$
184914	Simplify	(3x^2-x+1)+(15-9x-2x^2)	$(3 x^{2} - x + 1) + (15 - 9 x - 2 x^{2})$
184915	Simplify	(x^3+15x^2+54x)/(2x^4+6x^3-108x^2)*(6x^2-42x+36)/(x^2+5x-6)	$\frac{x^{3} + 15 x^{2} + 54 x}{2 x^{4} + 6 x^{3} - 108 x^{2}} \cdot \frac{6 x^{2} - 42 x + 36}{x^{2} + 5 x - 6}$
184916	Write in Standard Form	x^2-6=16x+30	$x^{2} - 6 = 16 x + 30$
184917	Multiply	(6x^2)/(x(x-3))*(x-3)/(10(x+2))	$\frac{6 x^{2}}{x (x - 3)} \cdot \frac{(x - 3)}{10 (x + 2)}$
184918	Graph	y>x y>4	$y > x$ $y > 4$
184919	Solve for n	12n^2+48n=-n^3-64	$12 n^{2} + 48 n = - n^{3} - 64$
184920	Evaluate the Function	g(a)=-2a+3 when a=-1	$g (a) = - 2 a + 3$ when $a = - 1$
184921	Evaluate	(4/3)^(3(-1/2))	${(\frac{4}{3})}^{3 (- \frac{1}{2})}$
184922	Factor	f(x)=6x^4-21x^3-4x^2+24x-35	$f (x) = 6 x^{4} - 21 x^{3} - 4 x^{2} + 24 x - 35$
184923	Rationalize the Denominator	square root of x/3	$\sqrt{\frac{x}{3}}$
184924	Plot	(,)	$(,)$
184925	Solve for x	(x^2+x)/(x-1)=6	$\frac{x^{2} + x}{x - 1} = 6$
184926	Solve for x	square root of 5x-9-x=-1	$\sqrt{5 x - 9} - x = - 1$
184927	Find the Product	(y^2)^5*y^8	${(y^{2})}^{5} \cdot y^{8}$
184928	Simplify	(6x^5-66x^4+144x^3)/(x^2-5x+6)*(x^2+2x-8)/(x^2-4x-32)	$\frac{6 x^{5} - 66 x^{4} + 144 x^{3}}{x^{2} - 5 x + 6} \cdot \frac{x^{2} + 2 x - 8}{x^{2} - 4 x - 32}$
184929	Graph	y^4-15y^2=16	$y^{4} - 15 y^{2} = 16$
184930	Solve for x	square root of x=x^(1/2)	$\sqrt{x} = x^{\frac{1}{2}}$
184931	Evaluate	6*e^(0.25t)=9	$6 \cdot e^{0.25 t} = 9$
184932	Simplify	(1/4+x)/(1/2)	$\frac{\frac{1}{4} + x}{\frac{1}{2}}$
184933	Factor	ab+bc+bd	$a b + b c + b d$
184934	Solve for x	2x+cos(x)=0	$2 x + \cos (x) = 0$
184935	Solve for x	5+e^(x+1)=20	$5 + e^{x + 1} = 20$
184936	Subtract	Subtract -5x^2+10x-1 from 6x^2-x+3	Subtract $- 5 x^{2} + 10 x - 1$ from $6 x^{2} - x + 3$
184937	Solve for x	-0.5(-2x+8)-8=8	$- 0.5 (- 2 x + 8) - 8 = 8$
184938	Find the Holes in the Graph	f(x)=(x^2+x-2)/(2x^2-2)	$f (x) = \frac{x^{2} + x - 2}{2 x^{2} - 2}$
184939	Solve the Inequality for x	-2(3x+2)>-8x+6	$- 2 (3 x + 2) > - 8 x + 6$
184940	Divide	x^2-20+x entre x+5	$x^{2} - 20 + x$ entre $x + 5$
184941	Evaluate	5x^2-x(5x-3x(x-8)-11)+3	$5 x^{2} - x (5 x - 3 x (x - 8) - 11) + 3$
184942	Find the Domain and Range	- cube root of x	$- \sqrt[3]{x}$
184943	Solve Using the Quadratic Formula	1/x+1/(x+5)=1/10	$\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{10}$
184944	Divide	((x-2)/(x+3))÷(2/x)	$\frac{x - 2}{x + 3} \div \frac{2}{x}$
184945	Solve for x	(1-x)/3=a	$\frac{1 - x}{3} = a$
184946	Solve for f	5(f+2)=2(3-f)	$5 (f + 2) = 2 (3 - f)$
184947	Simplify	(4x^5-3x^3-4)-(7x^5-4x^4-2x^3-4)	$(4 x^{5} - 3 x^{3} - 4) - (7 x^{5} - 4 x^{4} - 2 x^{3} - 4)$
184948	Multiply	1 , 5^2	$1$ , $5^{2}$
184949	Solve for s	10s+7>3s-8	$10 s + 7 > 3 s - 8$
184950	Simplify	f(x)=(1/x-1/(x+1))/(1/x+1/(x+1))	$f (x) = \frac{\frac{1}{x} - \frac{1}{x + 1}}{\frac{1}{x} + \frac{1}{x + 1}}$
184951	Simplify	(5x^6-2x^4+9x^3+2x-4)-(7x^5-8x^4+2x-11)	$(5 x^{6} - 2 x^{4} + 9 x^{3} + 2 x - 4) - (7 x^{5} - 8 x^{4} + 2 x - 11)$
184952	Solve for x	x/(x+3)+2x=-3/(x+3)	$\frac{x}{x + 3} + 2 x = - \frac{3}{x + 3}$
184953	Graph	2+3x<=-7	$2 + 3 x \leq - 7$
184954	Solve for x	a=3/2(x+a)	$a = \frac{3}{2} (x + a)$
184955	Simplify	(5x)/4-(3x)/4	$\frac{5 x}{4} - \frac{3 x}{4}$
184956	Solve for x	2/(x+2)+4/(x+6)=1	$\frac{2}{x + 2} + \frac{4}{x + 6} = 1$
184957	Solve for x	x/3+5=5	$\frac{x}{3} + 5 = 5$
184958	Find All Complex Solutions	sin(x)^2=2sin(x)+3	$\sin^{2} (x) = 2 \sin (x) + 3$
184959	Factor	-5x^3+6x-x^5	$- 5 x^{3} + 6 x - x^{5}$
184960	Simplify	(a+15)/(9-a^2)-(a+5)/(a+3)+(a-5)/(3-a)	$\frac{a + 15}{9 - a^{2}} - \frac{a + 5}{a + 3} + \frac{a - 5}{3 - a}$
184961	Solve for x	x = square root of 8x	$x = \sqrt{8 x}$
184962	Find the Product	(3x+y)(3x-y)	$(3 x + y) (3 x - y)$
184963	Find All Complex Solutions	x^3-6x^2+13x-3=7	$x^{3} - 6 x^{2} + 13 x - 3 = 7$
184964	Find the Domain and Range	f(x)=(1/4)^(2x+1)+3	$f (x) = {(\frac{1}{4})}^{2 x + 1} + 3$
184965	Factor by Grouping	x^4-5x^2-36	$x^{4} - 5 x^{2} - 36$
184966	Solve for y	3x-11+(3-2y)i=4-i	$3 x - 11 + (3 - 2 y) i = 4 - i$
184967	Solve the Inequality for x	8<=-4(x-1)	$8 \leq - 4 (x - 1)$
184968	Simplify	( square root of x^4y^2z)(y^2z)	$(\sqrt{x^{4} y^{2} z}) (y^{2} z)$
184969	Solve for s	r=(c-s)/t	$r = \frac{c - s}{t}$
184970	Solve for x	-2/(x^2+2x)-1/(x+2)=-(6x)/(x+2)	$- \frac{2}{x^{2} + 2 x} - \frac{1}{x + 2} = - \frac{6 x}{x + 2}$
184971	Solve for x	log base x+3 of 2x^2+14=2	$\log_{x + 3} (2 x^{2} + 14) = 2$
184972	Evaluate	(1-i)^3	${(1 - i)}^{3}$
184973	Find the Inverse	f(x)=9( fifth root of x+2)	$f (x) = 9 (\sqrt[5]{x} + 2)$
184974	Convert to Interval Notation	x^2-2x+3>0	$x^{2} - 2 x + 3 > 0$
184975	Simplify	1/(1+i)*(1-i)/(1-i)	$\frac{1}{1 + i} \cdot \frac{1 - i}{1 - i}$
184976	Solve for l	S=B+1/2l	$S = B + \frac{1}{2} l$
184977	Find the Domain and Range	y=-1+2x-x^2	$y = - 1 + 2 x - x^{2}$
184978	Simplify	3^2-(3*(5^2-9))÷2	$3^{2} - 3 \cdot (5^{2} - 9) \div 2$
184979	Simplify	(1/2-2/(x^2))/((x-5)/6+1/x)	$\frac{\frac{1}{2} - \frac{2}{x^{2}}}{\frac{x - 5}{6} + \frac{1}{x}}$
184980	Find f(g(x))	f(x)=3x-3 and g(x)=4x^2-3	$f (x) = 3 x - 3$ and $g (x) = 4 x^{2} - 3$
184981	Solve for x	1+x/(x-1)=1/(x^2-x)	$1 + \frac{x}{x - 1} = \frac{1}{x^{2} - x}$
184982	Simplify	(x+2)/(2x+10)-(-2x+8)/(x^2+x-20)	$\frac{x + 2}{2 x + 10} - \frac{- 2 x + 8}{x^{2} + x - 20}$
184983	Find the Exact Value	(-3/4)^3	${(- \frac{3}{4})}^{3}$
184984	Solve for y	\|3y+7\|-10=-5	$\| 3 y + 7 \| - 10 = - 5$
184985	Evaluate Using the Given Value	n/6+2 when n=12	$\frac{n}{6} + 2$ when $n = 12$
184986	Find the Exact Value	(3^3)÷(3^-4)	$3^{3} \div 3^{- 4}$
184987	Graph	y>-2 square root of 3x+2	$y > - 2 \sqrt{3 x + 2}$
184988	Solve for x	log base 2x-5 of 3x^2-7x-15=2	$\log_{2 x - 5} (3 x^{2} - 7 x - 15) = 2$
184989	Graph Using a Table of Values	y=2(4)^x	$y = 2 {(4)}^{x}$
184990	Simplify	1/3n(-6+27m-51p)	$\frac{1}{3} n (- 6 + 27 m - 51 p)$
184991	Simplify	(x^2+9)-(x-9)	$(x^{2} + 9) - (x - 9)$
184992	Simplify	(x^2+3x-10)/(6(x+5)^2)*(x^4+3x^3-10x^2)/(x(x-2)^2)	$\frac{x^{2} + 3 x - 10}{6 {(x + 5)}^{2}} \cdot \frac{x^{4} + 3 x^{3} - 10 x^{2}}{x {(x - 2)}^{2}}$
184993	Solve for z	18-5z+6z>3+6	$18 - 5 z + 6 z > 3 + 6$
184994	Solve the Inequality for x	(x+5)(x^2-3x-4)>0	$(x + 5) (x^{2} - 3 x - 4) > 0$
184995	Graph	y=x^2+4,x<=2; -x+4,x<2	$y = {\begin{cases} x^{2} + 4, x \leq 2 \\ - x + 4, x < 2 \end{cases}$
184996	Solve for r	3^(-3r)=3^5	$3^{- 3 r} = 3^{5}$
184997	Solve the Absolute Value Inequality for x	\|2x-1\|>3	$\| 2 x - 1 \| > 3$
184998	Simplify the Radical Expression	square root of 6 square root of 12	$\sqrt{6} \sqrt{12}$
184999	Graph	y=2x+-3	$y = 2 x + - 3$
185000	Simplify	(5/(x-2))÷(x/(x+1))	$\frac{5}{x - 2} \div \frac{x}{x + 1}$