Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219701	Solve for x	xk=w/v	$x k = \frac{w}{v}$
219702	Solve for x	x+7-7/6=(2x+7)/30	$x + 7 - \frac{7}{6} = \frac{2 x + 7}{30}$
219703	Evaluate	4/( square root of 9-4^2)	$\frac{4}{\sqrt{9 - 4^{2}}}$
219704	Simplify	(4^(2x+1)*2^(1-x))/(8^(x+2))	$\frac{4^{2 x + 1} \cdot 2^{1 - x}}{8^{x + 2}}$
219705	Evaluate	fourth root of 81y^8x^4	$\sqrt[4]{81 y^{8} x^{4}}$
219706	Factor	x^3+x^2-6x=0	$x^{3} + x^{2} - 6 x = 0$
219707	Divide	((5k^2-4k-1)/(5k^2+16k+11))÷((25k^2-1)/(5k^2+6k-11))	$\frac{5 k^{2} - 4 k - 1}{5 k^{2} + 16 k + 11} \div \frac{25 k^{2} - 1}{5 k^{2} + 6 k - 11}$
219708	Divide	(-37/6)÷6	$- \frac{37}{6} \div 6$
219709	Solve for j	7j+1=4(-2j-5)+12j	$7 j + 1 = 4 (- 2 j - 5) + 12 j$
219710	Solve for n	8/(n+4)=4/n	$\frac{8}{n + 4} = \frac{4}{n}$
219711	Graph	x+y=5 y=4x	$x + y = 5$ $y = 4 x$
219712	Simplify	fourth root of d*d^24	$\sqrt[4]{d} \cdot d^{24}$
219713	Find f(g(x))	f(x)=x-1 g(x)=5x-2	$f (x) = x - 1$ $g (x) = 5 x - 2$
219714	Divide	(9/4)÷(-3/4)	$\frac{9}{4} \div \frac{- 3}{4}$
219715	Solve for p	6+ square root of 4-10p=14	$6 + \sqrt{4 - 10 p} = 14$
219716	Simplify	cube root of x/3	$\sqrt[3]{\frac{x}{3}}$
219717	Simplify	(2b)/(2b+3)+5/(3-2b)-(4b^2+9)/(4b^2-9)	$\frac{2 b}{2 b + 3} + \frac{5}{3 - 2 b} - \frac{(4 b^{2} + 9)}{4 b^{2} - 9}$
219718	Graph	1-y^2	$1 - y^{2}$
219719	Solve the System of Inequalities	y<=5/6x-3 y>-1/6x+3	$y \leq \frac{5}{6} x - 3$ $y > - \frac{1}{6} x + 3$
219720	Graph	y=50 , 0-400x	$y = 50$ , $0 - 400 x$
219721	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 $2 x + 1$
219722	Simplify	square root of 5/(4a^5)	$\sqrt{\frac{5}{4 a^{5}}}$
219723	Find the Quotient	(x^4-15x^2-2x-24)÷(x+4)	$(x^{4} - 15 x^{2} - 2 x - 24) \div (x + 4)$
219724	Evaluate Using the Given Value	x+y+y ; use x=9 ; and y=10	$x + y + y$ ; use $x = 9$ ; and $y = 10$
219725	Multiply	(x+1)(x+2)(y-3)	$(x + 1) (x + 2) (y - 3)$
219726	Write in Exponential Form	( cube root of x^2)/( square root of y^5)	$\frac{\sqrt[3]{x^{2}}}{\sqrt{y^{5}}}$
219727	Evaluate	(6.4710^-15)/(3.3610^-29)	$\frac{6.47 \times 10^{- 15}}{3.36 \times 10^{- 29}}$
219728	Solve the Inequality for v	\|5v+3\|>-9	$\| 5 v + 3 \| > - 9$
219729	Solve by Addition/Elimination	4x-1/3y=8 2/3x+1/3y=11/3	$4 x - \frac{1}{3} y = 8$ $\frac{2}{3} x + \frac{1}{3} y = \frac{11}{3}$
219730	Simplify	(x-2)/(x+2)+1/(x^2-4)-(x+2)/(2-x)	$\frac{x - 2}{x + 2} + \frac{1}{x^{2} - 4} - \frac{x + 2}{2 - x}$
219731	Simplify	(2x+y)^2-(3x-2y)^2+(x-4y)(x+4y)	${(2 x + y)}^{2} - {(3 x - 2 y)}^{2} + (x - 4 y) (x + 4 y)$
219732	Rationalize the Denominator	(5-2 square root of 3)/(5 square root of 3+2)	$\frac{5 - 2 \sqrt{3}}{5 \sqrt{3} + 2}$
219733	Convert to a Decimal	48deg	$48$ degrees
219734	Evaluate	(x-y)/(x+y)-(x+y)/(x-y)	$\frac{x - y}{x + y} - \frac{x + y}{x - y}$
219735	Write in Standard Form	1*10^-6	$1 \cdot 10^{- 6}$
219736	Solve the Inequality for p	-p+6p<=4+6p	$- p + 6 p \leq 4 + 6 p$
219737	Simplify	x^(-4/3)y^-1 cube root of 8x^5y^5	$x^{- \frac{4}{3}} y^{- 1} \sqrt[3]{8 x^{5} y^{5}}$
219738	Solve for s	1/4(s+6)=-3	$\frac{1}{4} (s + 6) = - 3$
219739	Factor	5p^3+5p-5p^2-5	$5 p^{3} + 5 p - 5 p^{2} - 5$
219740	Find the x and y Intercepts	y=(2x^2+5)/(x^2-2x)	$y = \frac{2 x^{2} + 5}{x^{2} - 2 x}$
219741	Evaluate	( log base a of x)÷( log base ab of x)	$\log_{a} (x) \div \log_{a b} (x)$
219742	Solve the System of Inequalities	y<=2x-3 y<-3/4x+8	$y \leq 2 x - 3$ $y < - \frac{3}{4} x + 8$
219743	Find All Complex Solutions	square root of x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$
219744	Evaluate	5^(3x+2)=625	$5^{3 x + 2} = 625$
219745	Graph	f(x)=7/2*(1/2)^(-(x-3))+1	$f (x) = \frac{7}{2} \cdot {(\frac{1}{2})}^{- (x - 3)} + 1$
219746	Simplify	e^(pii)	$e^{π i}$
219747	Evaluate	3cot(x)^2-1=0	$3 \cot^{2} (x) - 1 = 0$
219748	Identify the Sequence	8 , 2 , 0 , 2 , 8 , 18	$8$ , $2$ , $0$ , $2$ , $8$ , $18$
219749	Multiply	fourth root of 5x* fourth root of 2x	$\sqrt[4]{5 x} \cdot \sqrt[4]{2 x}$
219750	Simplify	(x-1)(x+1)(4x+3)(x+4)	$(x - 1) (x + 1) (4 x + 3) (x + 4)$
219751	Graph	-x/3.5+y/12.5=1	$- \frac{x}{3.5} + \frac{y}{12.5} = 1$
219752	Simplify	(2r^3s^8(7r^7-5r^3s^4)-(2r^10s^8-6r^6s^12))/(4r^2s^4)	$\frac{2 r^{3} s^{8} (7 r^{7} - 5 r^{3} s^{4}) - (2 r^{10} s^{8} - 6 r^{6} s^{12})}{4 r^{2} s^{4}}$
219753	Simplify	(3*3^-6)^5	${(3 \cdot 3^{- 6})}^{5}$
219754	Solve for x	5x-(5x-4)=4	$5 x - (5 x - 4) = 4$
219755	Solve for x	2^7-3x=1/4	$2^{7} - 3 x = \frac{1}{4}$
219756	Simplify	(((3mn)/2)^-1)^-4	${({(\frac{3 m n}{2})}^{- 1})}^{- 4}$
219757	Find the Exact Value	csc(arcsec(( square root of 6)/2))	$\csc (arcsec (\frac{\sqrt{6}}{2}))$
219758	Simplify	((3x^2y^-1)/(2x^-3y^5))^3	${(\frac{3 x^{2} y^{- 1}}{2 x^{- 3} y^{5}})}^{3}$
219759	Simplify	((2y^2-5y-3)/(y-4))÷(y^2+y-12)	$\frac{2 y^{2} - 5 y - 3}{y - 4} \div (y^{2} + y - 12)$
219760	Solve for x	y=(x+2)/(x-1)	$y = \frac{x + 2}{x - 1}$
219761	Simplify the Radical Expression	- square root of 36+ square root of -36+ square root of 16+ square root of -9	$- \sqrt{36} + \sqrt{- 36} + \sqrt{16} + \sqrt{- 9}$
219762	Simplify	(3x^2-x)+5x^3+(-4x^3+x^2-8)	$(3 x^{2} - x) + 5 x^{3} + (- 4 x^{3} + x^{2} - 8)$
219763	Evaluate	(15-4)+3-(12-5*2)+(5+16÷4)-5+(10-2^3)	$(15 - 4) + 3 - (12 - 5 \cdot 2) + (5 + 16 \div 4) - 5 + (10 - 2^{3})$
219764	Solve the Inequality for x	-x-4<=x-12<=-x+2	$- x - 4 \leq x - 12 \leq - x + 2$
219765	Find the Exact Value	arcsin(sin((9pi)/12))	$\arcsin (\sin (\frac{9 π}{12}))$
219766	Simplify	((2x)/(x-3))^2+3	${(\frac{2 x}{x - 3})}^{2} + 3$
219767	Simplify	(5x^2y)/( fourth root of x^4y^3)	$\frac{5 x^{2} y}{\sqrt[4]{x^{4} y^{3}}}$
219768	Solve for b	(8b)/15=3/5	$\frac{8 b}{15} = \frac{3}{5}$
219769	Find the LCD	(4x)/(x+6) and 1/(6x)	$\frac{4 x}{x + 6}$ and $\frac{1}{6 x}$
219770	Solve by Factoring	x^2-18x+209=2x+11	$x^{2} - 18 x + 209 = 2 x + 11$
219771	Solve the Inequality for x	5x^2-34x+8<=7x	$5 x^{2} - 34 x + 8 \leq 7 x$
219772	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 $- 2$ ?
219773	Solve the Inequality for x	y<x+4	$y < x + 4$
219774	Solve for n	33/4=n^(-1/3)+8	$\frac{33}{4} = n^{- \frac{1}{3}} + 8$
219775	Solve for t	6-1/t=5/(t^2)	$6 - \frac{1}{t} = \frac{5}{t^{2}}$
219776	Solve for x	2x^2+36=x^2	$2 x^{2} + 36 = x^{2}$
219777	Multiply	3/4*12/27	$\frac{3}{4} \cdot \frac{12}{27}$
219778	Determine if True	sin(theta)sec(theta)=tan(theta)	$\sin (θ) \sec (θ) = \tan (θ)$
219779	Solve for q	p=2/(q^2)+3/r	$p = \frac{2}{q^{2}} + \frac{3}{r}$
219780	Simplify	fourth root of x^5 fifth root of x^2	$\sqrt[4]{x^{5}} \sqrt[5]{x^{2}}$
219781	Simplify	(6x-7x^2+7)-(5x^2+2x-2x^3-1)	$(6 x - 7 x^{2} + 7) - (5 x^{2} + 2 x - 2 x^{3} - 1)$
219782	Evaluate	(y^8)/(x^-3x^7y^6)	$\frac{y^{8}}{x^{- 3} x^{7} y^{6}}$
219783	Simplify	2^53^24^3	$2^{5} \cdot 3^{2} \cdot 4^{3}$
219784	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 $\frac{5}{4}$ ?
219785	Find the Product	(-6x-7y^2)^2	${(- 6 x - 7 y^{2})}^{2}$
219786	Evaluate	(4\|-6\|)/2+\|-6-3\|	$\frac{4 \| - 6 \|}{2} + \| - 6 - 3 \|$
219787	Solve for x	x-2/2=3x+8/4	$x - \frac{2}{2} = 3 x + \frac{8}{4}$
219788	Evaluate	-186/200+0.3	$- \frac{186}{200} + 0.3$
219789	Find the Product	-4n(-5n^3-1)	$- 4 n (- 5 n^{3} - 1)$
219790	Solve the Rational Equation for x	4+ square root of x/9=5	$4 + \sqrt{\frac{x}{9}} = 5$
219791	Solve for r	r/(r-2)-5=2/(r-2)	$\frac{r}{r - 2} - 5 = \frac{2}{r - 2}$
219792	Graph	x/x	$\frac{x}{x}$
219793	Solve the Rational Equation for x	x-10 = square root of 9x	$x - 10 = \sqrt{9 x}$
219794	Simplify	x^3y^-1xyx^-2y^2	$x^{3} y^{- 1} \cdot x y \cdot x^{- 2} y^{2}$
219795	Solve the Rational Equation for c	square root of c=4	$\sqrt{c} = 4$
219796	Solve the Inequality for x	7+2/x<-5/x	$7 + \frac{2}{x} < \frac{- 5}{x}$
219797	Solve for θ	csc(theta) = square root of 1+(-12/5)^2	$\csc (θ) = \sqrt{1 + {(- \frac{12}{5})}^{2}}$
219798	Simplify	(m^-2n^4m^2)^-3	${(m^{- 2} n^{4} m^{2})}^{- 3}$
219799	Solve for p	b=2(p+5)-10	$b = 2 (p + 5) - 10$
219800	Factor	x^3+2x^2+x=0	$x^{3} + 2 x^{2} + x = 0$