Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182901	Solve the Inequality for x	\|2x-5\|<3	$\| 2 x - 5 \| < 3$
182902	Simplify the Radical Expression	fourth root of x^6	$\sqrt[4]{x^{6}}$
182903	Solve the Inequality for c	c-10+3c<2	$c - 10 + 3 c < 2$
182904	Simplify	((2x^2-5x-3)/(4x^2+12x+5))÷((3x^2-11x+6)/(6x^2+11x-10))	$\frac{2 x^{2} - 5 x - 3}{4 x^{2} + 12 x + 5} \div \frac{3 x^{2} - 11 x + 6}{6 x^{2} + 11 x - 10}$
182905	Simplify	(4^4)/(4^3)	$\frac{4^{4}}{4^{3}}$
182906	Solve for a	(x^(5/3))/x=x^a	$\frac{x^{\frac{5}{3}}}{x} = x^{a}$
182907	Factor	y=-2x^3-2x^2+40x	$y = - 2 x^{3} - 2 x^{2} + 40 x$
182908	Find the Holes in the Graph	(-4x+12)/(2x^2-x-15)	$\frac{- 4 x + 12}{2 x^{2} - x - 15}$
182909	Solve for y	square root of 7y-10=y	$\sqrt{7 y - 10} = y$
182910	Solve the System of Equations	-3x+3y=3 -5x+y=13	$- 3 x + 3 y = 3$ $- 5 x + y = 13$
182911	Solve for x	5x-7x+6=-2(x-3)	$5 x - 7 x + 6 = - 2 (x - 3)$
182912	Find the Inverse	y=(x-2)/(3x-1)	$y = \frac{x - 2}{3 x - 1}$
182913	Graph	y=x^2+2,x<=1; -x+2,x>1	$y = {\begin{cases} x^{2} + 2, x \leq 1 \\ - x + 2, x > 1 \end{cases}$
182914	Factor	36a^2-ab	$36 a^{2} - a b$
182915	Simplify	(24x^6y^3)/(-6x^3y)	$\frac{24 x^{6} y^{3}}{- 6 x^{3} y}$
182916	Solve for x	0=x^2-14x	$0 = x^{2} - 14 x$
182917	Simplify	(x(9x^2+6)^(1/2))^2	${(x {(9 x^{2} + 6)}^{\frac{1}{2}})}^{2}$
182918	Solve the Inequality for x	x/3-1>=8	$\frac{x}{3} - 1 \geq 8$
182919	Solve for n	-3(n+8)-4=-40-n	$- 3 (n + 8) - 4 = - 40 - n$
182920	Simplify	(2x-y)^2-(3x+y)(3x-y)	${(2 x - y)}^{2} - (3 x + y) (3 x - y)$
182921	Solve Using the Quadratic Formula	x^2+13=8x+37	$x^{2} + 13 = 8 x + 37$
182922	Graph	f^-1(x)=x/3+4/3	$f^{- 1} (x) = \frac{x}{3} + \frac{4}{3}$
182923	Graph	(-9+a)/15>1	$\frac{- 9 + a}{15} > 1$
182924	Find the Midpoint	(9,6) and (1,2)	$(9, 6)$ and $(1, 2)$
182925	Evaluate	e^(2x)=7	$e^{2 x} = 7$
182926	Describe the Transformation	y=-1/2\|x\|	$y = - \frac{1}{2} \| x \|$
182927	Solve for x	x-(x+2)/(x+4)=2/(x+4)	$x - \frac{x + 2}{x + 4} = \frac{2}{x + 4}$
182928	Graph Using a Table of Values	f(x)=-5^x	$f (x) = - 5^{x}$
182929	Evaluate	cos(arctan(x))	$\cos (\arctan (x))$
182930	Solve for x	(2x-5)/12=(-x)/4-5/3	$\frac{2 x - 5}{12} = \frac{- x}{4} - \frac{5}{3}$
182931	Describe the Transformation	g(x)=-\|x\|	$g (x) = - \| x \|$
182932	Solve for b	a=h/2(a+b)	$a = \frac{h}{2} (a + b)$
182933	Simplify	(-9- square root of 24)/(2(2))	$\frac{- 9 - \sqrt{24}}{2 (2)}$
182934	Subtract	-2 1/3-(-5)	$- 2 \frac{1}{3} - (- 5)$
182935	Divide	9 1/3÷7	$9 \frac{1}{3} \div 7$
182936	Solve for b	10^b=91	$10^{b} = 91$
182937	Simplify	(-4(z-5))/((z-5)(z+2))	$\frac{- 4 (z - 5)}{(z - 5) (z + 2)}$
182938	Solve for x	(3x+1)^3=64	${(3 x + 1)}^{3} = 64$
182939	Find the x and y Intercepts	f(x)=5/2 square root of -(x-6)	$f (x) = \frac{5}{2} \sqrt{- (x - 6)}$
182940	Find the Roots (Zeros)	y=(x-4)(x^2-12x+36)	$y = (x - 4) (x^{2} - 12 x + 36)$
182941	Simplify	limit as x approaches 1 of ( square root of x-1)/(x-1)	$lim_{x \to 1} \frac{\sqrt{x} - 1}{x - 1}$
182942	Simplify	(15a^3b^2-9a^2b+3ab)/(3ab)	$\frac{15 a^{3} b^{2} - 9 a^{2} b + 3 a b}{3 a b}$
182943	Solve the Inequality for x	(2x-8)/(x-2)>=0	$\frac{2 x - 8}{x - 2} \geq 0$
182944	Graph	f(x)=x-2 if x<-2; -6x+16 if x>3	$f (x) = {\begin{cases} x - 2 & x < - 2 \\ - 6 x + 16 & x > 3 \end{cases}$
182945	Convert to Radical Form	4a^2b^(7/3)c^(5/6)	$4 a^{2} b^{\frac{7}{3}} c^{\frac{5}{6}}$
182946	Simplify	1/5-1	$\frac{1}{5} - 1$
182947	Solve for a	r = square root of a/(4pi)	$r = \sqrt{\frac{a}{4 π}}$
182948	Solve for x	3/(x+2)+(x+7)/(x-2)=(3x)/(x^2-4)	$\frac{3}{x + 2} + \frac{x + 7}{x - 2} = \frac{3 x}{x^{2} - 4}$
182949	Simplify	(2a-3b+c)^2	${(2 a - 3 b + c)}^{2}$
182950	Solve for x	5x^2-2x+16=4x^2+6x	$5 x^{2} - 2 x + 16 = 4 x^{2} + 6 x$
182951	Solve for x	x+6-2x=x-24	$x + 6 - 2 x = x - 24$
182952	Solve for x	x square root of 2- square root of 18=x	$x \sqrt{2} - \sqrt{18} = x$
182953	Simplify	cube root of (2x^4y^4)/(9x)	$\sqrt[3]{\frac{2 x^{4} y^{4}}{9 x}}$
182954	Simplify	1/(x/y)	$\frac{1}{\frac{x}{y}}$
182955	Simplify	-3/8	$\frac{- 3}{8}$
182956	Solve for m	\|m\|=0	$\| m \| = 0$
182957	Find the Holes in the Graph	f(x)=(x^2+3x)/(x^2+5x+6)	$f (x) = \frac{x^{2} + 3 x}{x^{2} + 5 x + 6}$
182958	Solve the Inequality for x	-4x+3<-6	$- 4 x + 3 < - 6$
182959	Factor	a^6-b^2x^8	$a^{6} - b^{2} x^{8}$
182960	Graph	-3(p-7)>=21	$- 3 (p - 7) \geq 21$
182961	Solve for x	5/(x-2)+(x-6)/(x^2-2x)=1/x	$\frac{5}{x - 2} + \frac{x - 6}{x^{2} - 2 x} = \frac{1}{x}$
182962	Solve the Inequality for x	4-x^2<=0	$4 - x^{2} \leq 0$
182963	Solve for x	3/x+4/(x-1)=(5-x)/(x^2-x)	$\frac{3}{x} + \frac{4}{x - 1} = \frac{5 - x}{x^{2} - x}$
182964	Rationalize the Denominator	(4+ square root of 5)/( square root of 5-2)	$\frac{4 + \sqrt{5}}{\sqrt{5} - 2}$
182965	Simplify	(x^5+9x^4-10x^3)/(9x(x-1)^2)*(6x^2-36x-240)/(x^2-100)	$\frac{x^{5} + 9 x^{4} - 10 x^{3}}{9 x {(x - 1)}^{2}} \cdot \frac{6 x^{2} - 36 x - 240}{x^{2} - 100}$
182966	Solve for x	- square root of 6x+1-5=-7- square root of 3x+1	$- \sqrt{6 x + 1} - 5 = - 7 - \sqrt{3 x + 1}$
182967	Subtract	15 6/25-11 5/10	$15 \frac{6}{25} - 11 \frac{5}{10}$
182968	Solve the Inequality for x	\|2x-3\|>=5	$\| 2 x - 3 \| \geq 5$
182969	Graph	\|x^2\|	$\| x^{2} \|$
182970	Solve for x	4^(-x)+5=3^x+4	$4^{- x} + 5 = 3^{x} + 4$
182971	Combine Like Terms	(1+6x)(1-6x)	$(1 + 6 x) (1 - 6 x)$
182972	Solve for x	1/x-1/6=4/(3x^2)	$\frac{1}{x} - \frac{1}{6} = \frac{4}{3 x^{2}}$
182973	Simplify	square root of 50*3 square root of 2	$\sqrt{50} \cdot 3 \sqrt{2}$
182974	Graph	y+2<=\|1/2x\|	$y + 2 \leq \| \frac{1}{2} x \|$
182975	Evaluate	(4(1+5))/(2+3^2-8)	$\frac{4 (1 + 5)}{2 + 3^{2} - 8}$
182976	Solve for y	log base 2 of 75 = log base 2 of 3+ log base 2 of 2y-1	$\log_{2} (75) = \log_{2} (3) + \log_{2} (2 y - 1)$
182977	Simplify	-3 square root of 5* square root of 20	$- 3 \sqrt{5} \cdot \sqrt{20}$
182978	Simplify	(6x^2-12x-210)/(x^5-13x^4+42x^3)*(x-6)/(9x^2+9x-180)	$\frac{6 x^{2} - 12 x - 210}{x^{5} - 13 x^{4} + 42 x^{3}} \cdot \frac{x - 6}{9 x^{2} + 9 x - 180}$
182979	Divide	(-4/5)÷2	$- \frac{4}{5} \div 2$
182980	Graph	x+2y<=4 3x-y>=2	$x + 2 y \leq 4$ $3 x - y \geq 2$
182981	Solve for x	(13+2x)/(4x+1)=3/4	$\frac{13 + 2 x}{4 x + 1} = \frac{3}{4}$
182982	Solve for x	cos(4x)-1=0	$\cos (4 x) - 1 = 0$
182983	Solve for b	81*9^(-2b-2)=27	$81 \cdot 9^{- 2 b - 2} = 27$
182984	Evaluate	pi/2+1/2	$\frac{π}{2} + \frac{1}{2}$
182985	Factor	(2x+3)(3-r)-(2x-5)(3-r)	$(2 x + 3) (3 - r) - (2 x - 5) (3 - r)$
182986	Solve Using the Quadratic Formula	x-5	$x - 5$
182987	Evaluate	ax+by=c	$a x + b y = c$
182988	Convert to Scientific Notation	(7.810^3)/(1.210^4)	$\frac{7.8 \times 10^{3}}{1.2 \times 10^{4}}$
182989	Solve for x	-2x-3=3^x+2	$- 2 x - 3 = 3^{x} + 2$
182990	Solve for x	\|2x-3/4\|=5 6/7	$\| 2 x - \frac{3}{4} \| = 5 \frac{6}{7}$
182991	Solve for x	x^2-26x+169=-13	$x^{2} - 26 x + 169 = - 13$
182992	Solve the Inequality for x	-3x-5+3(2x+1)>6x-5	$- 3 x - 5 + 3 (2 x + 1) > 6 x - 5$
182993	Solve for x	(3x)^2=324	${(3 x)}^{2} = 324$
182994	Determine the Number of Significant Figures	2.0	$2$
182995	Solve for b	ma=mg-bv	$m a = mg - b v$
182996	Solve for x	(x+1)/x-x/(x+1)=0	$\frac{x + 1}{x} - \frac{x}{x + 1} = 0$
182997	Find the x and y Intercepts	f(x)=-2(x^2+3)	$f (x) = - 2 (x^{2} + 3)$
182998	Evaluate the Function	f(2)=4^2	$f (2) = 4^{2}$
182999	Evaluate	pi/2-(2pi)/3	$\frac{π}{2} - \frac{2 π}{3}$
183000	Solve for x	3/(x+2)-1/(x-1)=7/(x^2+x-2)	$\frac{3}{x + 2} - \frac{1}{x - 1} = \frac{7}{x^{2} + x - 2}$