Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219701	Simplify	cube root of x/3	$\sqrt[3]{\frac{x}{3}}$
219702	Simplify	(2b)/(2b+3)+5/(3-2b)-(4b^2+9)/(4b^2-9)	$\frac{2 b}{2 b + 3} + \frac{5}{3 - 2 b} - \frac{(4 b^{2} + 9)}{4 b^{2} - 9}$
219703	Graph	1-y^2	$1 - y^{2}$
219704	Solve the System of Inequalities	y<=5/6x-3 y>-1/6x+3	$y \leq \frac{5}{6} x - 3$ $y > - \frac{1}{6} x + 3$
219705	Graph	y=50 , 0-400x	$y = 50$ , $0 - 400 x$
219706	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+4x^2+13x+6 is divided by 2x+1	Use the long division method to find the result when $4 x^{3} + 4 x^{2} + 13 x + 6$ is divided by $2 x + 1$
219707	Simplify	square root of 5/(4a^5)	$\sqrt{\frac{5}{4 a^{5}}}$
219708	Find the Quotient	(x^4-15x^2-2x-24)÷(x+4)	$(x^{4} - 15 x^{2} - 2 x - 24) \div (x + 4)$
219709	Evaluate Using the Given Value	x+y+y ; use x=9 ; and y=10	$x + y + y$ ; use $x = 9$ ; and $y = 10$
219710	Multiply	(x+1)(x+2)(y-3)	$(x + 1) (x + 2) (y - 3)$
219711	Write in Exponential Form	( cube root of x^2)/( square root of y^5)	$\frac{\sqrt[3]{x^{2}}}{\sqrt{y^{5}}}$
219712	Evaluate	(6.4710^-15)/(3.3610^-29)	$\frac{6.47 \times 10^{- 15}}{3.36 \times 10^{- 29}}$
219713	Solve the Inequality for v	\|5v+3\|>-9	$\| 5 v + 3 \| > - 9$
219714	Solve by Addition/Elimination	4x-1/3y=8 2/3x+1/3y=11/3	$4 x - \frac{1}{3} y = 8$ $\frac{2}{3} x + \frac{1}{3} y = \frac{11}{3}$
219715	Simplify	(x-2)/(x+2)+1/(x^2-4)-(x+2)/(2-x)	$\frac{x - 2}{x + 2} + \frac{1}{x^{2} - 4} - \frac{x + 2}{2 - x}$
219716	Simplify	(2x+y)^2-(3x-2y)^2+(x-4y)(x+4y)	${(2 x + y)}^{2} - {(3 x - 2 y)}^{2} + (x - 4 y) (x + 4 y)$
219717	Rationalize the Denominator	(5-2 square root of 3)/(5 square root of 3+2)	$\frac{5 - 2 \sqrt{3}}{5 \sqrt{3} + 2}$
219718	Convert to a Decimal	48deg	$48$ degrees
219719	Evaluate	(x-y)/(x+y)-(x+y)/(x-y)	$\frac{x - y}{x + y} - \frac{x + y}{x - y}$
219720	Write in Standard Form	1*10^-6	$1 \cdot 10^{- 6}$
219721	Solve the Inequality for p	-p+6p<=4+6p	$- p + 6 p \leq 4 + 6 p$
219722	Simplify	x^(-4/3)y^-1 cube root of 8x^5y^5	$x^{- \frac{4}{3}} y^{- 1} \sqrt[3]{8 x^{5} y^{5}}$
219723	Solve for s	1/4(s+6)=-3	$\frac{1}{4} (s + 6) = - 3$
219724	Factor	5p^3+5p-5p^2-5	$5 p^{3} + 5 p - 5 p^{2} - 5$
219725	Find the x and y Intercepts	y=(2x^2+5)/(x^2-2x)	$y = \frac{2 x^{2} + 5}{x^{2} - 2 x}$
219726	Evaluate	( log base a of x)÷( log base ab of x)	$\log_{a} (x) \div \log_{a b} (x)$
219727	Solve the System of Inequalities	y<=2x-3 y<-3/4x+8	$y \leq 2 x - 3$ $y < - \frac{3}{4} x + 8$
219728	Find All Complex Solutions	square root of x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$
219729	Evaluate	5^(3x+2)=625	$5^{3 x + 2} = 625$
219730	Graph	f(x)=7/2*(1/2)^(-(x-3))+1	$f (x) = \frac{7}{2} \cdot {(\frac{1}{2})}^{- (x - 3)} + 1$
219731	Simplify	e^(pii)	$e^{π i}$
219732	Evaluate	3cot(x)^2-1=0	$3 \cot^{2} (x) - 1 = 0$
219733	Identify the Sequence	8 , 2 , 0 , 2 , 8 , 18	$8$ , $2$ , $0$ , $2$ , $8$ , $18$
219734	Multiply	fourth root of 5x* fourth root of 2x	$\sqrt[4]{5 x} \cdot \sqrt[4]{2 x}$
219735	Simplify	(x-1)(x+1)(4x+3)(x+4)	$(x - 1) (x + 1) (4 x + 3) (x + 4)$
219736	Graph	-x/3.5+y/12.5=1	$- \frac{x}{3.5} + \frac{y}{12.5} = 1$
219737	Simplify	(2r^3s^8(7r^7-5r^3s^4)-(2r^10s^8-6r^6s^12))/(4r^2s^4)	$\frac{2 r^{3} s^{8} (7 r^{7} - 5 r^{3} s^{4}) - (2 r^{10} s^{8} - 6 r^{6} s^{12})}{4 r^{2} s^{4}}$
219738	Simplify	(3*3^-6)^5	${(3 \cdot 3^{- 6})}^{5}$
219739	Solve for x	5x-(5x-4)=4	$5 x - (5 x - 4) = 4$
219740	Solve for x	2^7-3x=1/4	$2^{7} - 3 x = \frac{1}{4}$
219741	Simplify	(((3mn)/2)^-1)^-4	${({(\frac{3 m n}{2})}^{- 1})}^{- 4}$
219742	Find the Exact Value	csc(arcsec(( square root of 6)/2))	$\csc (arcsec (\frac{\sqrt{6}}{2}))$
219743	Simplify	((3x^2y^-1)/(2x^-3y^5))^3	${(\frac{3 x^{2} y^{- 1}}{2 x^{- 3} y^{5}})}^{3}$
219744	Simplify	((2y^2-5y-3)/(y-4))÷(y^2+y-12)	$\frac{2 y^{2} - 5 y - 3}{y - 4} \div (y^{2} + y - 12)$
219745	Solve for x	y=(x+2)/(x-1)	$y = \frac{x + 2}{x - 1}$
219746	Simplify the Radical Expression	- square root of 36+ square root of -36+ square root of 16+ square root of -9	$- \sqrt{36} + \sqrt{- 36} + \sqrt{16} + \sqrt{- 9}$
219747	Simplify	(3x^2-x)+5x^3+(-4x^3+x^2-8)	$(3 x^{2} - x) + 5 x^{3} + (- 4 x^{3} + x^{2} - 8)$
219748	Evaluate	(15-4)+3-(12-5*2)+(5+16÷4)-5+(10-2^3)	$(15 - 4) + 3 - (12 - 5 \cdot 2) + (5 + 16 \div 4) - 5 + (10 - 2^{3})$
219749	Solve the Inequality for x	-x-4<=x-12<=-x+2	$- x - 4 \leq x - 12 \leq - x + 2$
219750	Find the Exact Value	arcsin(sin((9pi)/12))	$\arcsin (\sin (\frac{9 π}{12}))$
219751	Simplify	((2x)/(x-3))^2+3	${(\frac{2 x}{x - 3})}^{2} + 3$
219752	Simplify	(5x^2y)/( fourth root of x^4y^3)	$\frac{5 x^{2} y}{\sqrt[4]{x^{4} y^{3}}}$
219753	Solve for b	(8b)/15=3/5	$\frac{8 b}{15} = \frac{3}{5}$
219754	Find the LCD	(4x)/(x+6) and 1/(6x)	$\frac{4 x}{x + 6}$ and $\frac{1}{6 x}$
219755	Solve by Factoring	x^2-18x+209=2x+11	$x^{2} - 18 x + 209 = 2 x + 11$
219756	Solve the Inequality for x	5x^2-34x+8<=7x	$5 x^{2} - 34 x + 8 \leq 7 x$
219757	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,7) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 2, 7)$ and has a slope of $- 2$ ?
219758	Solve the Inequality for x	y<x+4	$y < x + 4$
219759	Solve for n	33/4=n^(-1/3)+8	$\frac{33}{4} = n^{- \frac{1}{3}} + 8$
219760	Solve for t	6-1/t=5/(t^2)	$6 - \frac{1}{t} = \frac{5}{t^{2}}$
219761	Solve for x	2x^2+36=x^2	$2 x^{2} + 36 = x^{2}$
219762	Multiply	3/4*12/27	$\frac{3}{4} \cdot \frac{12}{27}$
219763	Determine if True	sin(theta)sec(theta)=tan(theta)	$\sin (θ) \sec (θ) = \tan (θ)$
219764	Solve for q	p=2/(q^2)+3/r	$p = \frac{2}{q^{2}} + \frac{3}{r}$
219765	Simplify	fourth root of x^5 fifth root of x^2	$\sqrt[4]{x^{5}} \sqrt[5]{x^{2}}$
219766	Simplify	(6x-7x^2+7)-(5x^2+2x-2x^3-1)	$(6 x - 7 x^{2} + 7) - (5 x^{2} + 2 x - 2 x^{3} - 1)$
219767	Evaluate	(y^8)/(x^-3x^7y^6)	$\frac{y^{8}}{x^{- 3} x^{7} y^{6}}$
219768	Simplify	2^53^24^3	$2^{5} \cdot 3^{2} \cdot 4^{3}$
219769	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,1) and has a slope of 5/4 ?	What is the equation of the line that passes through the point $(4, 1)$ and has a slope of $\frac{5}{4}$ ?
219770	Find the Product	(-6x-7y^2)^2	${(- 6 x - 7 y^{2})}^{2}$
219771	Evaluate	(4\|-6\|)/2+\|-6-3\|	$\frac{4 \| - 6 \|}{2} + \| - 6 - 3 \|$
219772	Solve for x	x-2/2=3x+8/4	$x - \frac{2}{2} = 3 x + \frac{8}{4}$
219773	Evaluate	-186/200+0.3	$- \frac{186}{200} + 0.3$
219774	Find the Product	-4n(-5n^3-1)	$- 4 n (- 5 n^{3} - 1)$
219775	Solve the Rational Equation for x	4+ square root of x/9=5	$4 + \sqrt{\frac{x}{9}} = 5$
219776	Solve for r	r/(r-2)-5=2/(r-2)	$\frac{r}{r - 2} - 5 = \frac{2}{r - 2}$
219777	Graph	x/x	$\frac{x}{x}$
219778	Solve the Rational Equation for x	x-10 = square root of 9x	$x - 10 = \sqrt{9 x}$
219779	Simplify	x^3y^-1xyx^-2y^2	$x^{3} y^{- 1} \cdot x y \cdot x^{- 2} y^{2}$
219780	Solve the Rational Equation for c	square root of c=4	$\sqrt{c} = 4$
219781	Solve the Inequality for x	7+2/x<-5/x	$7 + \frac{2}{x} < \frac{- 5}{x}$
219782	Solve for θ	csc(theta) = square root of 1+(-12/5)^2	$\csc (θ) = \sqrt{1 + {(- \frac{12}{5})}^{2}}$
219783	Simplify	(m^-2n^4m^2)^-3	${(m^{- 2} n^{4} m^{2})}^{- 3}$
219784	Solve for p	b=2(p+5)-10	$b = 2 (p + 5) - 10$
219785	Factor	x^3+2x^2+x=0	$x^{3} + 2 x^{2} + x = 0$
219786	Solve the Inequality for y	7>=-3/2y+1	$7 \geq - \frac{3}{2} y + 1$
219787	Evaluate	2x^5y*3x^2y	$2 x^{5} y \cdot 3 x^{2} y$
219788	Solve for x	5/(x+1)-1/(1-x)=x/(x-1)	$\frac{5}{x + 1} - \frac{1}{1 - x} = \frac{x}{x - 1}$
219789	Simplify	square root of 20x^3y* square root of 4xy^6	$\sqrt{20 x^{3} y} \cdot \sqrt{4 x y^{6}}$
219790	Simplify	f(x) = square root of 216a^6b^8	$f (x) = \sqrt{216 a^{6} b^{8}}$
219791	Solve for x	15(x-3)-14x>=14	$15 (x - 3) - 14 x \geq 14$
219792	Simplify	(x^-1)/(x-x^-1)	$\frac{x^{- 1}}{x - x^{- 1}}$
219793	Find the Inverse	f(x)=(4x)^(5/3)	$f (x) = {(4 x)}^{\frac{5}{3}}$
219794	Simplify	4/(2pi)	$\frac{4}{2 π}$
219795	Evaluate Using the Given Value	Evaluate (8x)/y when x=2 and y=4	Evaluate $\frac{8 x}{y}$ when $x = 2$ and $y = 4$
219796	Simplify	x-5-6x+7	$x - 5 - 6 x + 7$
219797	Factor	Factor: 42p^4+9p^3q^2-18p^2q^2	Factor: $42 p^{4} + 9 p^{3} q^{2} - 18 p^{2} q^{2}$
219798	Evaluate	-5000 natural log of 0.9	$- 5000 \ln (0.9)$
219799	Convert to Rectangular	theta=30 degrees	$θ = 30 °$
219800	Evaluate	- square root of 3*(- square root of 3)	$- \sqrt{3} \cdot (- \sqrt{3})$