Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
168901	Find the Roots (Zeros)	x^3-x^2-20x=0	$x^{3} - x^{2} - 20 x = 0$
168902	Solve for x	w=x/(a-b)	$w = \frac{x}{a - b}$
168903	Solve for a	(15-a)/3=-9	$\frac{15 - a}{3} = - 9$
168904	Combine Like Terms	x^3-2x+4x^3+1-6x^3+3-1	$x^{3} - 2 x + 4 x^{3} + 1 - 6 x^{3} + 3 - 1$
168905	Graph	f(x)=-5x(2x-5)^2	$f (x) = - 5 x {(2 x - 5)}^{2}$
168906	Solve the Inequality for x	(x+2)(x-3)(x+8)>0	$(x + 2) (x - 3) (x + 8) > 0$
168907	Solve the Inequality for y	2>=y/5-1	$2 \geq \frac{y}{5} - 1$
168908	Round to the Nearest Hundredth	4/33.144^3	$\frac{4}{3} \cdot 3.14 \cdot 4^{3}$
168909	Simplify	4x^2-3x+7+2x^2+4x	$4 x^{2} - 3 x + 7 + 2 x^{2} + 4 x$
168910	Evaluate	3^x=243	$3^{x} = 243$
168911	Evaluate	2pi8	$2 \cdot π \cdot 8$
168912	Solve the Inequality for x	x^2-16>=0	$x^{2} - 16 \geq 0$
168913	Graph	x(x-5)<0	$x (x - 5) < 0$
168914	Divide	2 1/2÷(1/4)	$2 \frac{1}{2} \div \frac{1}{4}$
168915	Evaluate	(-4^2)	$(- 4^{2})$
168916	Solve for n	180(n-2)=s	$180 (n - 2) = s$
168917	Simplify	((4yh^3)^-5)/(20h^-4)	$\frac{{(4 y h^{3})}^{- 5}}{20 h^{- 4}}$
168918	Simplify	(1/x)/x	$\frac{\frac{1}{x}}{x}$
168919	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+16=0	$x^{2} + 16 = 0$
168920	Find the x and y Intercepts	f(x)=(-5x+10)/(2x^2-8)	$f (x) = \frac{- 5 x + 10}{2 x^{2} - 8}$
168921	Simplify	(x^-4x^-6y^2)/(y^6)	$\frac{x^{- 4} x^{- 6} y^{2}}{y^{6}}$
168922	Find the Product	(3m-1)(8m+7)	$(3 m - 1) (8 m + 7)$
168923	Solve for z	-1/4z+7/8=-1/2	$- \frac{1}{4} z + \frac{7}{8} = - \frac{1}{2}$
168924	Solve for x	square root of 10-4x = square root of 2x+3	$\sqrt{10 - 4 x} = \sqrt{2 x + 3}$
168925	Multiply	8*3/26	$8 \cdot \frac{3}{26}$
168926	Solve for x	x-(x+7)/(x-1)=2	$x - \frac{x + 7}{x - 1} = 2$
168927	Simplify	(y^2-2y-8)+(y^2+y-12)	$(y^{2} - 2 y - 8) + (y^{2} + y - 12)$
168928	Find the x and y Intercepts	f(x)=-(x^2+2x-3)	$f (x) = - (x^{2} + 2 x - 3)$
168929	Convert to a Decimal	15deg	$15$ degrees
168930	Simplify	((x^3-8)/(x^2+3x-10))÷((8x-40)/(x^2-25))	$\frac{x^{3} - 8}{x^{2} + 3 x - 10} \div \frac{8 x - 40}{x^{2} - 25}$
168931	Solve for b	33=\|b-4\|	$33 = \| b - 4 \|$
168932	Factor	a^2+2a(a+b)+(a+b)^2	$a^{2} + 2 a (a + b) + {(a + b)}^{2}$
168933	Find the x and y Intercepts	f(x)=(5x+25)/(3x^2+16x+5)	$f (x) = \frac{5 x + 25}{3 x^{2} + 16 x + 5}$
168934	Solve for q	3/2q+4-1/3q=-5/6q	$\frac{3}{2} q + 4 - \frac{1}{3} q = - \frac{5}{6} q$
168935	Solve the Rational Equation for x	(x+1)/(x-5)=5/3	$\frac{x + 1}{x - 5} = \frac{5}{3}$
168936	Solve for a	-4+1/8a=1/2a+2-3/4a	$- 4 + \frac{1}{8} a = \frac{1}{2} a + 2 - \frac{3}{4} a$
168937	Find the x and y Intercepts	f(x)=(x^2+5x+4)/(2x^2-2)	$f (x) = \frac{x^{2} + 5 x + 4}{2 x^{2} - 2}$
168938	Find the Volume	sphere (15cm)	 $\begin{array}{r} r = & 15 cm \end{array}$
168939	Graph	f^-1(x)=x^2+1	$f^{- 1} (x) = x^{2} + 1$
168940	Simplify	((-2s^3)^4)/(5s^-1)	$\frac{{(- 2 s^{3})}^{4}}{5 s^{- 1}}$
168941	Solve the Inequality for x	x(x-1)(x+2)>0	$x (x - 1) (x + 2) > 0$
168942	Solve for θ	sin(theta)=cos(theta)	$\sin (θ) = \cos (θ)$
168943	Simplify	(4+4i)/(-2-8i)	$\frac{4 + 4 i}{- 2 - 8 i}$
168944	Solve for n	5n-3=\|n+9\|	$5 n - 3 = \| n + 9 \|$
168945	Find the Remainder	(6x^4+15x^2-8-20x^3)÷(-x^2+2x-1)	$(6 x^{4} + 15 x^{2} - 8 - 20 x^{3}) \div (- x^{2} + 2 x - 1)$
168946	Find the Holes in the Graph	f(x)=(5x)/(4x+14)	$f (x) = \frac{5 x}{4 x + 14}$
168947	Multiply	-1^3	$- 1^{3}$
168948	Factor by Grouping	6ax+3a+1+2x	$6 a x + 3 a + 1 + 2 x$
168949	Solve for x	2x-3=(2(x+4))/2	$2 x - 3 = \frac{2 (x + 4)}{2}$
168950	Write in Standard Form	f(x)=3x^2-4x	$f (x) = 3 x^{2} - 4 x$
168951	Simplify	(-2 square root of 7z^3)(3 square root of 14z^8)	$(- 2 \sqrt{7 z^{3}}) (3 \sqrt{14 z^{8}})$
168952	Solve for x	(3)*9^(x+3)=542	$(3) \cdot 9^{x + 3} = 542$
168953	Evaluate	(4^-3*2^-3)^0	${(4^{- 3} \cdot 2^{- 3})}^{0}$
168954	Find the Function	f(x)=3-2x	$f (x) = 3 - 2 x$
168955	Solve for y	-2/5y+1/6=-1/8	$- \frac{2}{5} y + \frac{1}{6} = - \frac{1}{8}$
168956	Find the Exact Value	cos(pi/4)+cos(pi/6)	$\cos (\frac{π}{4}) + \cos (\frac{π}{6})$
168957	Solve the Inequality for x	(x+2)/(x+9)<2	$\frac{x + 2}{x + 9} < 2$
168958	Solve the Inequality for x	-20<=-x-10<=-16	$- 20 \leq - x - 10 \leq - 16$
168959	Write in Standard Form	-4x^2-19=x	$- 4 x^{2} - 19 = x$
168960	Describe the Transformation	h(x)=5(10)^(x-2)+6	$h (x) = 5 {(10)}^{x - 2} + 6$
168961	Simplify	(3x-5)/2+(x+3)/2	$\frac{3 x - 5}{2} + \frac{x + 3}{2}$
168962	Solve for b	-2-5/6b-3/2b=1/2b+4-1/3b	$- 2 - \frac{5}{6} b - \frac{3}{2} b = \frac{1}{2} b + 4 - \frac{1}{3} b$
168963	Write in Slope-Intercept Form	y=mx+b	$y = m x + b$
168964	Solve for x	3x+11=k for x	$3 x + 11 = k$ for $x$
168965	Combine Like Terms	2y^3-2y^3+2y+4x-7x+4x-4y	$2 y^{3} - 2 y^{3} + 2 y + 4 x - 7 x + 4 x - 4 y$
168966	Find the Inverse	y=x/(x+1)	$y = \frac{x}{x + 1}$
168967	Graph	0 , infinity	$0$ , $\infty$
168968	Simplify	(x+4i)^2	${(x + 4 i)}^{2}$
168969	Evaluate	(1/5)^(1/2+1)	${(\frac{1}{5})}^{\frac{1}{2} + 1}$
168970	Simplify	(- square root of -8)( square root of -18)	$(- \sqrt{- 8}) (\sqrt{- 18})$
168971	Solve the Rational Equation for x	1/x=6/(5x)+1	$\frac{1}{x} = \frac{6}{5 x} + 1$
168972	Write in Exponential Form	log base (x+4) of x^2-3x-5=3/4	$\log_{(x + 4)} (x^{2} - 3 x - 5) = \frac{3}{4}$
168973	Solve for b	1/7b+3/4=1/6	$\frac{1}{7} b + \frac{3}{4} = \frac{1}{6}$
168974	Solve for y	\|8y+4\|=2\|y-1\|	$\| 8 y + 4 \| = 2 \| y - 1 \|$
168975	Graph	-3(2x-5)<5(2-x)	$- 3 (2 x - 5) < 5 (2 - x)$
168976	Find the Degree	-65b+53x^3y	$- 65 b + 53 x^{3} y$
168977	Write in Standard Form	-x^2+12x-14=4x	$- x^{2} + 12 x - 14 = 4 x$
168978	Simplify	5/(5x-1)--6/(5x-1)	$\frac{5}{5 x - 1} - \frac{- 6}{5 x - 1}$
168979	Factor	f(x)=x^4-10x^3+24x^2+32x-128	$f (x) = x^{4} - 10 x^{3} + 24 x^{2} + 32 x - 128$
168980	Graph	F(x)=x/(x+4)	$F (x) = \frac{x}{x + 4}$
168981	Find All Complex Solutions	sin(x)^2=2+2cos(x)	$\sin^{2} (x) = 2 + 2 \cos (x)$
168982	Solve the Inequality for x	3x+2<=5(x-4)	$3 x + 2 \leq 5 (x - 4)$
168983	Find the x and y Intercepts	-3	$- 3$
168984	Solve for x	2x-11=k for x	$2 x - 11 = k$ for $x$
168985	Solve for d	3+d<3-d	$3 + d < 3 - d$
168986	Solve for y	3x+1=7-4y	$3 x + 1 = 7 - 4 y$
168987	Solve the System of Equations	3x^2-y^2=11 x^2+4y^2=8	$3 x^{2} - y^{2} = 11$ $x^{2} + 4 y^{2} = 8$
168988	Simplify	(xy^-2y^-6)/(x^-3)	$\frac{x y^{- 2} y^{- 6}}{x^{- 3}}$
168989	Find the Function	f(x)=x-7	$f (x) = x - 7$
168990	Write the Fraction in Simplest Form	(4/3)^-8*(4/3)^2	${(\frac{4}{3})}^{- 8} \cdot {(\frac{4}{3})}^{2}$
168991	Solve for x	-12=2+5x+2x	$- 12 = 2 + 5 x + 2 x$
168992	Graph	f(x)=5x^2(3x+2)(x-5)	$f (x) = 5 x^{2} (3 x + 2) (x - 5)$
168993	Simplify	(2(a^-1)^3)/(-10a^5)	$\frac{2 {(a^{- 1})}^{3}}{- 10 a^{5}}$
168994	Solve for k	4(k-8)=-32+4k	$4 (k - 8) = - 32 + 4 k$
168995	Find the Exact Value	9^(1/2)	$9^{\frac{1}{2}}$
168996	Combine Like Terms	-4y-2y^3-4+4y+5-2-2y^3	$- 4 y - 2 y^{3} - 4 + 4 y + 5 - 2 - 2 y^{3}$
168997	Evaluate Using the Given Value	4-0.25g+0.5h when g=10 and h=5	$4 - 0.25 g + 0.5 h$ when $g = 10$ and $h = 5$
168998	Simplify	(x^2+x)/x	$\frac{x^{2} + x}{x}$
168999	Solve for y	5/6=-1/3y+3/8	$\frac{5}{6} = - \frac{1}{3} y + \frac{3}{8}$
169000	Factor	-20xy+4y^2+25x^2	$- 20 x y + 4 y^{2} + 25 x^{2}$