Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236901	Solve by Factoring	4cos(x)^2-1=0	$4 \cos^{2} (x) - 1 = 0$
236902	Solve for b	-b+5(4b-4)<10b-10-2b	$- b + 5 (4 b - 4) < 10 b - 10 - 2 b$
236903	Solve the System of Equations	y=-x+3 and y=x-1	$y = - x + 3$ and $y = x - 1$
236904	Write in y=mx+b Form	y=x+4	$y = x + 4$
236905	Divide Using Long Polynomial Division	9x^3+27x^2+29x+7 divided by 3x+1	$9 x^{3} + 27 x^{2} + 29 x + 7$ divided by $3 x + 1$
236906	Solve the Absolute Value Inequality for c	\|-4c+15\|=35	$\| - 4 c + 15 \| = 35$
236907	Simplify	(7y^6)(2y-4)^2	$(7 y^{6}) {(2 y - 4)}^{2}$
236908	Describe the Transformation	y=-(-x)^3	$y = - {(- x)}^{3}$
236909	Evaluate	24 root of 1/(n^7*n^2)	$\sqrt[24]{\frac{1}{n^{7} \cdot n^{2}}}$
236910	Simplify	plus or minus square root of 49	$\pm \sqrt{49}$
236911	Simplify	limit as x approaches 4 of (x^2+2x-24)/(x^2-8x+16)	$lim_{x \to 4} \frac{x^{2} + 2 x - 24}{x^{2} - 8 x + 16}$
236912	Evaluate	Evaluate f(-1)	Evaluate $f (- 1)$
236913	Graph	f(-3)=4x^2-x-3	$f (- 3) = 4 x^{2} - x - 3$
236914	Simplify	(i+i^2+i^3)/(i^3+i^4+i^5)	$\frac{i + i^{2} + i^{3}}{i^{3} + i^{4} + i^{5}}$
236915	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+14x^2+11x+2 is divided by 4x+1	Use the long division method to find the result when $8 x^{3} + 14 x^{2} + 11 x + 2$ is divided by $4 x + 1$
236916	Graph	F(x)=-1/(x^2+10x+25)	$F (x) = \frac{- 1}{x^{2} + 10 x + 25}$
236917	Simplify	(7x^2y^2+12xy^2-3x^2y+11)+(-12xy^2+20x^2y+11xy-5)	$(7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11) + (- 12 x y^{2} + 20 x^{2} y + 11 x y - 5)$
236918	Solve for x	5/8(x-1/3)=5/12	$\frac{5}{8} (x - \frac{1}{3}) = \frac{5}{12}$
236919	Graph	y+3x=x^2	$y + 3 x = x^{2}$
236920	Simplify	((2x)/(x+1))/(3/(x+1))	$\frac{\frac{2 x}{x + 1}}{\frac{3}{x + 1}}$
236921	Solve for x	fifth root of 2x-3- fifth root of x-4=0	$\sqrt[5]{2 x - 3} - \sqrt[5]{x - 4} = 0$
236922	Solve for S	S=180(5-2)	$S = 180 (5 - 2)$
236923	Simplify	((-6)^-5)/(3^-2)	$\frac{{(- 6)}^{- 5}}{3^{- 2}}$
236924	Simplify	(a-4)/(4a-8)+1/(2a-4)	$\frac{(a - 4)}{4 a - 8} + \frac{1}{2 a - 4}$
236925	Solve by Factoring	square root of 5/6=( square root of 5)/( square root of 6)	$\sqrt{\frac{5}{6}} = \frac{\sqrt{5}}{\sqrt{6}}$
236926	Simplify	(x square root of 3)/x	$\frac{x \sqrt{3}}{x}$
236927	Evaluate	-4/( square root of 1-16(-1/6)^2)	$- \frac{4}{\sqrt{1 - 16 {(- \frac{1}{6})}^{2}}}$
236928	Evaluate	xy^-2	$x y^{- 2}$
236929	Solve the System of Equations	y=2x-3 2x=y-3	$y = 2 x - 3$ $2 x = y - 3$
236930	Simplify	(sin(x)^2+cos(x)^2)/(tan(x)^2+1)	$\frac{\sin^{2} (x) + \cos^{2} (x)}{\tan^{2} (x) + 1}$
236931	Evaluate	sin(theta)+cos(theta)cot(theta)	$\sin (θ) + \cos (θ) \cot (θ)$
236932	Evaluate	(2-10 1/2)/(-1/3)	$\frac{2 - 10 \frac{1}{2}}{- \frac{1}{3}}$
236933	Multiply	(x-2)/(3x+15)*(x^2-1)/(x^2-x-2)	$\frac{x - 2}{3 x + 15} \cdot \frac{x^{2} - 1}{x^{2} - x - 2}$
236934	Solve the Inequality for x	6<1-3x<=10	$6 < 1 - 3 x \leq 10$
236935	Simplify	(2p^2)/(-2p*(-p)^2)	$\frac{2 p^{2}}{- 2 p \cdot {(- p)}^{2}}$
236936	Solve for x	log of x = log of 3+ log of 5	$\log (x) = \log (3) + \log (5)$
236937	Evaluate	cube root of x* cube root of x	$\sqrt[3]{x} \cdot \sqrt[3]{x}$
236938	Simplify	(8x^2-4x-3)-(-2x-x^2+5)	$(8 x^{2} - 4 x - 3) - (- 2 x - x^{2} + 5)$
236939	Find the Domain and Range	y=10+10/(4x+12)	$y = 10 + \frac{10}{4 x + 12}$
236940	Simplify	(10-4)/10	$\frac{10 - 4}{10}$
236941	Multiply	(-x^2-3x+10)(x^2+x+1)	$(- x^{2} - 3 x + 10) (x^{2} + x + 1)$
236942	Evaluate	\|x\|=-x	$\| x \| = - x$
236943	Simplify	((y^2)/25)^(1/2)	${(\frac{y^{2}}{25})}^{\frac{1}{2}}$
236944	Simplify the Radical Expression	square root of fourth root of 25	$\sqrt{\sqrt[4]{25}}$
236945	Evaluate	-5 = square root of 3x-7	$- 5 = \sqrt{3 x - 7}$
236946	Evaluate	square root of (1- square root of 3)^2	$\sqrt{{(1 - \sqrt{3})}^{2}}$
236947	Solve for x	-8+ cube root of 2x-27=-5	$- 8 + \sqrt[3]{2 x - 27} = - 5$
236948	Solve the Rational Equation for x	2 square root of x+1=14	$2 \sqrt{x + 1} = 14$
236949	Simplify	2^-4-3^3*5^-2	$2^{- 4} - 3^{3} \cdot 5^{- 2}$
236950	Find the Exact Value	(6^2+60)/(2^3)	$\frac{(6^{2} + 60)}{2^{3}}$
236951	Simplify	(x^2+2x+4)/(x^3-8)	$\frac{(x^{2} + 2 x + 4)}{(x^{3} - 8)}$
236952	Evaluate the Function	g(-2)=3(-2)^3+5	$g (- 2) = 3 {(- 2)}^{3} + 5$
236953	Graph	2x-5y=10 y=-2/5x+2	$2 x - 5 y = 10$ $y = - \frac{2}{5} x + 2$
236954	Solve for x	-9/x=x/-9	$- \frac{9}{x} = \frac{x}{- 9}$
236955	Evaluate	tan(-3pi)	$\tan (- 3 π)$
236956	Simplify	( square root of 8a^3)÷( square root of 2a)	$\sqrt{8 a^{3}} \div \sqrt{2 a}$
236957	Solve for y	x = square root of y+2	$x = \sqrt{y + 2}$
236958	Simplify	fourth root of x^2* fifth root of x^3	$\sqrt[4]{x^{2}} \cdot \sqrt[5]{x^{3}}$
236959	Graph	y<((x+3)(x-4))/(x-4)	$y < \frac{(x + 3) (x - 4)}{x - 4}$
236960	Solve for y	y+-4=9	$y + - 4 = 9$
236961	Find the Inverse	y=2 square root of x+7	$y = 2 \sqrt{x + 7}$
236962	Evaluate	(12÷3*3)^2	${(12 \div 3 \cdot 3)}^{2}$
236963	Find the Holes in the Graph	f(x)=-2/((x-3)^2)	$f (x) = \frac{- 2}{{(x - 3)}^{2}}$
236964	Solve for b	r=(b-1)m	$r = (b - 1) m$
236965	Solve by Factoring	x^2+17x+9=13x-3	$x^{2} + 17 x + 9 = 13 x - 3$
236966	Evaluate	-5/6+1/3(-3/5)	$- \frac{5}{6} + \frac{1}{3} (- \frac{3}{5})$
236967	Factor	e^(2x)-e^x	$e^{2 x} - e^{x}$
236968	Subtract	3 square root of 27u-2 square root of 12u	$3 \sqrt{27 u} - 2 \sqrt{12 u}$
236969	Solve for w	6w-13w-18=-81	$6 w - 13 w - 18 = - 81$
236970	Simplify	3x^(8/3)y^-2 cube root of 8xy^3	$3 x^{\frac{8}{3}} y^{- 2} \sqrt[3]{8 x y^{3}}$
236971	Evaluate Using the Given Value	-4a^2+2a-1 when a=-3	$- 4 a^{2} + 2 a - 1$ when $a = - 3$
236972	Solve the System of Equations	3x^2-2y^2=-24 2y=-3x	$3 x^{2} - 2 y^{2} = - 24$ $2 y = - 3 x$
236973	Find the Exact Value	2^32^62	$2^{3} \cdot 2^{6} \cdot 2$
236974	Find f(g(x))	f(x)=x^2+x+10 g(x)=-5x-3	$f (x) = x^{2} + x + 10$ $g (x) = - 5 x - 3$
236975	Solve for x	3-x-6=6-4x	$3 - x - 6 = 6 - 4 x$
236976	Simplify	(g^3-2g^2+5g+6)-(g^2+2g)	$(g^{3} - 2 g^{2} + 5 g + 6) - (g^{2} + 2 g)$
236977	Simplify	2(3x+x)	$2 (3 x + x)$
236978	Simplify	9/10+1/6	$\frac{9}{10} + \frac{1}{6}$
236979	Write in Standard Form	y=x(x-3)	$y = x (x - 3)$
236980	Graph	y=x+1 2y=2x+2	$y = x + 1$ $2 y = 2 x + 2$
236981	Find the Product	square root of 6-3	$\sqrt{6 - 3}$
236982	Convert to Interval Notation	\|2x-6\|+\|3-x\|>12	$\| 2 x - 6 \| + \| 3 - x \| > 12$
236983	Solve for x	(4z^3)/x=7y	$\frac{4 z^{3}}{x} = 7 y$
236984	Find the Parabola with Focus (0,-5) and Directrix y=-3	(0,-5) y=-3	$(0, - 5)$ $y = - 3$
236985	Write in Standard Form	y=1x-3	$y = 1 x - 3$
236986	Simplify	-6x^2-2x+5-2x^2+8	$- 6 x^{2} - 2 x + 5 - 2 x^{2} + 8$
236987	Find the Roots (Zeros)	x^8=-x^7+3	$x^{8} = - x^{7} + 3$
236988	Factor	x^4-4x^3-12x^2-x^2+4x+12	$x^{4} - 4 x^{3} - 12 x^{2} - x^{2} + 4 x + 12$
236989	Solve the System of Equations	x^2+y^2=25 2x-y=5	$x^{2} + y^{2} = 25$ $2 x - y = 5$
236990	Solve the System of Inequalities	x>=-1 or x<2	$x \geq - 1$ or $x < 2$
236991	Solve for x	cos(x)^2=-1	$\cos^{2} (x) = - 1$
236992	Convert to a Decimal	cos(51)deg	$\cos (51)$ degrees
236993	Find the Function Rule	table[[x,y],[0,0],[1,1],[2,4],[3,9]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \end{array}$
236994	Simplify	4 square root of 3+2/( square root of 3)	$4 \sqrt{3} + \frac{2}{\sqrt{3}}$
236995	Describe the Transformation	f(x) = cube root of x g(x)=-5 cube root of x	$f (x) = \sqrt[3]{x}$ $g (x) = - 5 \sqrt[3]{x}$
236996	Find the Degree, Leading Term, and Leading Coefficient	h(x)=6x^3-9x^-3+x^2-5x-1	$h (x) = 6 x^{3} - 9 x^{- 3} + x^{2} - 5 x - 1$
236997	Find the Inverse	f(x)=((x^5)/7)^(1/7)-1	$f (x) = {(\frac{x^{5}}{7})}^{\frac{1}{7}} - 1$
236998	Rationalize the Denominator	( square root of 4)/( square root of 121)	$\frac{\sqrt{4}}{\sqrt{121}}$
236999	Evaluate	square root of 1-5x=1+ square root of 6-x	$\sqrt{1 - 5 x} = 1 + \sqrt{6 - x}$
237000	Solve for x	\|x-1\|+1=0	$\| x - 1 \| + 1 = 0$