Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186901	Factor	(24x^2+2x-15)/(20x^2-23x+16)	$\frac{24 x^{2} + 2 x - 15}{20 x^{2} - 23 x + 16}$
186902	Write in Standard Form	15+8x-3x^2=0	$15 + 8 x - 3 x^{2} = 0$
186903	Solve by Substitution	2x-y+z=-4 z=5 -2x+3y-z=-10	$2 x - y + z = - 4$ $z = 5$ $- 2 x + 3 y - z = - 10$
186904	Multiply	1/2x^2(8x^2-4x+1)	$\frac{1}{2} x^{2} (8 x^{2} - 4 x + 1)$
186905	Graph	y=2^(1/3x)-3	$y = 2^{\frac{1}{3} x} - 3$
186906	Evaluate	pi*36	$π \cdot 36$
186907	Graph	{x\|x>=-2}	${x \| x \geq - 2}$
186908	Solve the System of Equations	y=x^2+3x-7 y-5x+8=0	$y = x^{2} + 3 x - 7$ $y - 5 x + 8 = 0$
186909	Rationalize the Denominator	( square root of 5)/(a- square root of 5)	$\frac{\sqrt{5}}{a - \sqrt{5}}$
186910	Evaluate	3(3)^2-21/(3(3))	$3 {(3)}^{2} - \frac{21}{3 (3)}$
186911	Simplify	((x^2)/2-2)/(5+10/x)	$\frac{\frac{x^{2}}{2} - 2}{5 + \frac{10}{x}}$
186912	Solve for x	4/x+(x+4)/(3x)=2/3	$\frac{4}{x} + \frac{x + 4}{3 x} = \frac{2}{3}$
186913	Solve for x	5^(3x+4)=(5^x)/25	$5^{3 x + 4} = \frac{5^{x}}{25}$
186914	Solve the Inequality for x	1/2x+3<=3/4x-2	$\frac{1}{2} x + 3 \leq \frac{3}{4} x - 2$
186915	Simplify	7ts3rt	$7 t \cdot s \cdot 3 r t$
186916	Graph	p(x)=(2x^2+7x+5)(x-3)	$p (x) = (2 x^{2} + 7 x + 5) (x - 3)$
186917	Evaluate	(2a^2)^3	${(2 a^{2})}^{3}$
186918	Solve for x	v=x/t	$v = \frac{x}{t}$
186919	Find the Midpoint	(-1,-5) and (-5,9)	$(- 1, - 5)$ and $(- 5, 9)$
186920	Solve the System of Equations	y=x^2+17x+41 y=2x-9	$y = x^{2} + 17 x + 41$ $y = 2 x - 9$
186921	Solve for x	0=x^2+2x+3	$0 = x^{2} + 2 x + 3$
186922	Simplify	(m/5-1/6)/(1/3)	$\frac{\frac{m}{5} - \frac{1}{6}}{\frac{1}{3}}$
186923	Simplify	-3mn+m^2n+3mn-mn^2+2m-m	$- 3 m n + m^{2} n + 3 m n - m n^{2} + 2 m - m$
186924	Solve the Absolute Value Inequality for y	4\|8y+7\|-9<91	$4 \| 8 y + 7 \| - 9 < 91$
186925	Simplify	-7x^2 square root of 7x^3+5x square root of 63x^5	$- 7 x^{2} \sqrt{7 x^{3}} + 5 x \sqrt{63 x^{5}}$
186926	Solve for x	\|5-11x\|>-8	$\| 5 - 11 x \| > - 8$
186927	Write in Exponential Form	( cube root of x^4)^5	${(\sqrt[3]{x^{4}})}^{5}$
186928	Convert to a Decimal	0deg	$0$ degrees
186929	Evaluate	(x^2)/(a^2)+(y^2)/(b^2)=1	$\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$
186930	Graph	sin(theta)>0 and tan(theta)<0	$\sin (θ) > 0$ and $\tan (θ) < 0$
186931	Multiply	(2x^3+4x^5)^2	${(2 x^{3} + 4 x^{5})}^{2}$
186932	Graph	y=sin(x+45 degrees )	$y = \sin (x + 45 °)$
186933	Find the Distance Between Two Points	(0,-4) and (6,2)	$(0, - 4)$ and $(6, 2)$
186934	Simplify	(x^2-5x+6)/(2ax-6a)	$\frac{x^{2} - 5 x + 6}{2 a x - 6 a}$
186935	Solve for y	x-2y=1 ; for y	$x - 2 y = 1$ ; for $y$
186936	Factor	-15x^2ac^3+5xa^2c^2	$- 15 x^{2} a c^{3} + 5 x a^{2} c^{2}$
186937	Evaluate	1/(1-sin(theta))+1/(1+sin(theta))	$\frac{1}{1 - \sin (θ)} + \frac{1}{1 + \sin (θ)}$
186938	Simplify	2 square root of 10x^6+x^3 square root of 40	$2 \sqrt{10 x^{6}} + x^{3} \sqrt{40}$
186939	Find the x and y Intercepts	f(x)=(2x+2)/(2x^2-7x-9)	$f (x) = \frac{2 x + 2}{2 x^{2} - 7 x - 9}$
186940	Simplify	( square root of x+3)÷( square root of 1-x)	$\sqrt{x + 3} \div \sqrt{1 - x}$
186941	Solve for m	square root of m+16=24	$\sqrt{m} + 16 = 24$
186942	Evaluate	(2x)^-3	${(2 x)}^{- 3}$
186943	Solve for x	x^8=2	$x^{8} = 2$
186944	Evaluate	tan(arccos(x))	$\tan (\arccos (x))$
186945	Find the Distance Between Two Points	(4,4) and (-2,-4)	$(4, 4)$ and $(- 2, - 4)$
186946	Solve for x	4^(5-9x)=1/(8^(x-2))	$4^{5 - 9 x} = \frac{1}{8^{x - 2}}$
186947	Solve for t	y=a(0.5)^(t/h)	$y = a {(0.5)}^{\frac{t}{h}}$
186948	Evaluate	tan(theta)*csc(theta)	$\tan (θ) \cdot \csc (θ)$
186949	Evaluate	7/20-(-1/2)+3/10	$\frac{7}{20} - (- \frac{1}{2}) + \frac{3}{10}$
186950	Solve for x	a=bx-c	$a = b x - c$
186951	Evaluate	3^x=1/9	$3^{x} = \frac{1}{9}$
186952	Find the Distance Between Two Points	(8,-3) and (4,6)	$(8, - 3)$ and $(4, 6)$
186953	Solve for θ	(cot(theta)+1)(sin(theta)+1)=0	$(\cot (θ) + 1) (\sin (θ) + 1) = 0$
186954	Factor	x^4+10x^3+35x^2+50x+24	$x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24$
186955	Find the Domain and Range	y^2=x+1	$y^{2} = x + 1$
186956	Simplify	1/(x/x)	$\frac{1}{\frac{x}{x}}$
186957	Solve for k	7(-2k+4)-6=7k-20	$7 (- 2 k + 4) - 6 = 7 k - 20$
186958	Find the Inverse	f(x)=5 fifth root of x+7	$f (x) = 5 \sqrt[5]{x + 7}$
186959	Solve for y	-2y-3y+8=8-5y-12	$- 2 y - 3 y + 8 = 8 - 5 y - 12$
186960	Write in Standard Form	x^2+6x^3-4+2x^5	$x^{2} + 6 x^{3} - 4 + 2 x^{5}$
186961	Simplify	(256*64)^(1/4)	${(256 \cdot 64)}^{\frac{1}{4}}$
186962	Evaluate	2sin(theta)^2+sin(theta)-1=0	$2 \sin^{2} (θ) + \sin (θ) - 1 = 0$
186963	Graph	r=1+3cos(3theta)	$r = 1 + 3 \cos (3 θ)$
186964	Simplify	100- square root of 36+3	$100 - \sqrt{36} + 3$
186965	Solve for x	F(x)=2x+3	$F (x) = 2 x + 3$
186966	Simplify	(x+ square root of 2)(x- square root of 2)	$(x + \sqrt{2}) (x - \sqrt{2})$
186967	Find the x and y Intercepts	f(x)=-x^4-9x-4+4x^3-7x^2	$f (x) = - x^{4} - 9 x - 4 + 4 x^{3} - 7 x^{2}$
186968	Simplify	(1+1/(4x))/(2/x+1/(2x^2))	$\frac{1 + \frac{1}{4 x}}{\frac{2}{x} + \frac{1}{2 x^{2}}}$
186969	Solve for x	5(x+8)-7<=23	$5 (x + 8) - 7 \leq 23$
186970	Multiply	(7x-56)/x*(x^2+3x)/(8x-64)	$\frac{7 x - 56}{x} \cdot \frac{x^{2} + 3 x}{8 x - 64}$
186971	Solve for d	15=5+4(2d-3)	$15 = 5 + 4 (2 d - 3)$
186972	Simplify	-1/4-(-3/5)	$- \frac{1}{4} - (- \frac{3}{5})$
186973	Simplify	(8^3)^(1/2)	${(8^{3})}^{\frac{1}{2}}$
186974	Solve the System of Equations	x+y-z=-1 x-2y+z=7 -2x+2y+4z=-4	$x + y - z = - 1$ $x - 2 y + z = 7$ $- 2 x + 2 y + 4 z = - 4$
186975	Simplify	(cos(x)^2-1)/(sin(x)^2-1)	$\frac{\cos^{2} (x) - 1}{\sin^{2} (x) - 1}$
186976	Solve the System of Equations	y=1/4x+1 y=-x-9	$y = \frac{1}{4} x + 1$ $y = - x - 9$
186977	Convert to Interval Notation	-2x-7>1 or x-2>=-1	$- 2 x - 7 > 1$ or $x - 2 \geq - 1$
186978	Solve for x	-7/x+1=-6x	$- \frac{7}{x} + 1 = - 6 x$
186979	Divide	((3x)/(x+1))÷x+1	$\frac{3 x}{x + 1} \div x + 1$
186980	Solve by Completing the Square	x^2-14x-284=-2x	$x^{2} - 14 x - 284 = - 2 x$
186981	Solve for x	1/2x^4=648	$\frac{1}{2} x^{4} = 648$
186982	Simplify	(2/(x-1)+2/(x-3))/(-3/(x-1)-3/(x-3))	$\frac{\frac{2}{x - 1} + \frac{2}{x - 3}}{- \frac{3}{x - 1} - \frac{3}{x - 3}}$
186983	Solve the Inequality for x	13<=-2x+5	$13 \leq - 2 x + 5$
186984	Simplify	(7a^5b^6c)/(14a^5b^9)	$\frac{7 a^{5} b^{6} c}{14 a^{5} b^{9}}$
186985	Find the Foci	x^2+9y^2-14x+36y+49=0	$x^{2} + 9 y^{2} - 14 x + 36 y + 49 = 0$
186986	Simplify	(x^2+4x+4)/(2x^2+3x-2)	$\frac{x^{2} + 4 x + 4}{2 x^{2} + 3 x - 2}$
186987	Graph	x<=6y	$x \leq 6 y$
186988	Solve for x	-15-3x=4x-2x	$- 15 - 3 x = 4 x - 2 x$
186989	Find the Degree, Leading Term, and Leading Coefficient	5x^4+x^3+3x^2-7	$5 x^{4} + x^{3} + 3 x^{2} - 7$
186990	Solve for m	1/5m+2/3-2=m-2/5	$\frac{1}{5} m + \frac{2}{3} - 2 = m - \frac{2}{5}$
186991	Graph Using a Table of Values	f(x)=x+6	$f (x) = x + 6$
186992	Find the Exact Value	csc(600 degrees )	$\csc (600 °)$
186993	Find the Inverse	y=x/(x-1)	$y = \frac{x}{x - 1}$
186994	Evaluate	x/(x^2+3x+2)+3/(x+1)	$\frac{x}{x^{2} + 3 x + 2} + \frac{3}{x + 1}$
186995	Solve the Inequality for x	2(2x+1)>=10	$2 (2 x + 1) \geq 10$
186996	Graph	3(x-2)-(1-x)>2x-7	$3 (x - 2) - (1 - x) > 2 x - 7$
186997	Graph	v+8<3 or -8v<-40	$v + 8 < 3$ or $- 8 v < - 40$
186998	Simplify	21-8(v+3)+3+7v	$21 - 8 (v + 3) + 3 + 7 v$
186999	Multiply	1*(-1/3)	$1 \cdot (- \frac{1}{3})$
187000	Simplify	(x^3+3x^2)/(x^3-6x^2-40x)*(x^2-16)/(x^2-x-12)	$\frac{x^{3} + 3 x^{2}}{x^{3} - 6 x^{2} - 40 x} \cdot \frac{x^{2} - 16}{x^{2} - x - 12}$