Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
237901	Simplify	(t-7)/(t^2-6t-16)*(t+2)/(t^2-15t+56)	$\frac{t - 7}{t^{2} - 6 t - 16} \cdot \frac{t + 2}{t^{2} - 15 t + 56}$
237902	Solve for x	5/(2(5x-1)^(1/2))=5/9	$\frac{5}{2 {(5 x - 1)}^{\frac{1}{2}}} = \frac{5}{9}$
237903	Multiply	(x^2-x-6)/(2x^2+x-6)*(2x^2+9x-18)/(x^2-9)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6} \cdot \frac{2 x^{2} + 9 x - 18}{x^{2} - 9}$
237904	Multiply	(x^3+9x^2)/(2x)*(x^2-14x+45)/(x^2-81)	$\frac{x^{3} + 9 x^{2}}{2 x} \cdot \frac{x^{2} - 14 x + 45}{x^{2} - 81}$
237905	Evaluate	5^(x-3)=4^(3-x)	$5^{x - 3} = 4^{3 - x}$
237906	Evaluate	((2m^2)^-1)/(m^2)	$\frac{{(2 m^{2})}^{- 1}}{m^{2}}$
237907	Plot	y>x+2	$y > x + 2$
237908	Find the Exact Value	csc((5pi)/4)^2	$\csc^{2} (\frac{5 π}{4})$
237909	Graph	cot(theta)<0 and cos(theta)>0	$\cot (θ) < 0$ and $\cos (θ) > 0$
237910	Graph	f(x) = square root of \|x\|	$f (x) = \sqrt{\| x \|}$
237911	Simplify	(12x^2y^2)/(6x^2y^2)	$\frac{12 x^{2} y^{2}}{6 x^{2} y^{2}}$
237912	Graph Using a Table of Values	y=- square root of 4-x^2	$y = - \sqrt{4 - x^{2}}$
237913	Evaluate	9x-7y>3(3x-7z)	$9 x - 7 y > 3 (3 x - 7 z)$
237914	Divide	x^3-6 by x+2	$x^{3} - 6$ by $x + 2$
237915	Simplify	(3/(x+5))/(2/(x-3)+1/(x+5))	$\frac{\frac{3}{x + 5}}{\frac{2}{x - 3} + \frac{1}{x + 5}}$
237916	Evaluate	((5 square root of 3)/2)^2	${(\frac{5 \sqrt{3}}{2})}^{2}$
237917	Convert to Radical Form	(81/16)^(-1/4)	${(\frac{81}{16})}^{- \frac{1}{4}}$
237918	Solve the Inequality for x	(5x+1)/(x-4)<=0	$\frac{5 x + 1}{x - 4} \leq 0$
237919	Solve for x	3^(x+1)=3^(x-7)	$3^{x + 1} = 3^{x - 7}$
237920	Graph	x=-4 y=1	$x = - 4$ $y = 1$
237921	Find the LCD	(7x)/(x-7) and (5x)/(x-1)	$\frac{7 x}{x - 7}$ and $\frac{5 x}{x - 1}$
237922	Solve for x	x+5/(x+6)=(6x-1)/(x+6)	$x + \frac{5}{x + 6} = \frac{6 x - 1}{x + 6}$
237923	Solve the Inequality for x	x^2<=5x-6	$x^{2} \leq 5 x - 6$
237924	Evaluate	(3^2)(3)(3)	$(3^{2}) (3) (3)$
237925	Solve by Substitution	x-y=11 and 2x+y=19	$x - y = 11$ and $2 x + y = 19$
237926	Solve for x	-x-15-3x=x	$- x - 15 - 3 x = x$
237927	Find the Domain and Range	x^4+4x^2+4	$x^{4} + 4 x^{2} + 4$
237928	Evaluate	(x^-4)/(x^8*x^-1)	$\frac{x^{- 4}}{x^{8} \cdot x^{- 1}}$
237929	Simplify the Radical Expression	(5n^2-5n)/(n^2-5n-6)	$\frac{5 n^{2} - 5 n}{n^{2} - 5 n - 6}$
237930	Simplify	10x^2*7xy^2	$10 x^{2} \cdot 7 x y^{2}$
237931	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+17x^2+12x+4 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 17 x^{2} + 12 x + 4$ is divided by $3 x + 2$
237932	Solve for x	(2x)^-2=16	${(2 x)}^{- 2} = 16$
237933	Solve the Rational Equation for x	square root of x^2-2- square root of x+4=0	$\sqrt{x^{2} - 2} - \sqrt{x + 4} = 0$
237934	Factor	Factor 3h^2+11h+6	Factor $3 h^{2} + 11 h + 6$
237935	Solve the System of Equations	x+y+z=2 6x-4y+5z=31 5x+2y+2z=13	$x + y + z = 2$ $6 x - 4 y + 5 z = 31$ $5 x + 2 y + 2 z = 13$
237936	Solve for x	-1/3(3x-9)+12=2(x-3)	$- \frac{1}{3} (3 x - 9) + 12 = 2 (x - 3)$
237937	Simplify/Condense	4* log base 7 of a+(5* log base 7 of a-3* log base 7 of b)	$4 \cdot \log_{7} (a) + (5 \cdot \log_{7} (a) - 3 \cdot \log_{7} (b))$
237938	Divide	(12x^6y^3)/(6x^3y^3)	$\frac{12 x^{6} y^{3}}{6 x^{3} y^{3}}$
237939	Simplify	(6-4x+x^2)^2	${(6 - 4 x + x^{2})}^{2}$
237940	Simplify	(20(mn)^-3)/(-5m^2n^2)	$\frac{20 {(m n)}^{- 3}}{- 5 m^{2} n^{2}}$
237941	Simplify	(x-1)(2x)	$(x - 1) (2 x)$
237942	Simplify the Radical Expression	square root of 15/20	$\sqrt{\frac{15}{20}}$
237943	Solve for x	cube root of x-3=0	$\sqrt[3]{x - 3} = 0$
237944	Simplify	(x^2+2x+3)+(3x^2+x+1)	$(x^{2} + 2 x + 3) + (3 x^{2} + x + 1)$
237945	Solve for x	50=15-6(2x-5)	$50 = 15 - 6 (2 x - 5)$
237946	Evaluate	(45^45*15^15)/(75^30)	$\frac{45^{45} \cdot 15^{15}}{75^{30}}$
237947	Factor	y=x^3-8	$y = x^{3} - 8$
237948	Simplify	2(x-3y+8)+7+4x	$2 (x - 3 y + 8) + 7 + 4 x$
237949	Solve by Factoring	e^2-10e+25=0	$e^{2} - 10 e + 25 = 0$
237950	Multiply	3(5x+2)-4(2x-1)	$3 (5 x + 2) - 4 (2 x - 1)$
237951	Find the Exact Value	sin(pi/6)cos(pi/4)-tan(pi/3)	$\sin (\frac{π}{6}) \cos (\frac{π}{4}) - \tan (\frac{π}{3})$
237952	Find the Product	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
237953	Simplify	(3x-6)/(x^2-4)-2/(x-2)	$\frac{3 x - 6}{x^{2} - 4} - \frac{2}{(x - 2)}$
237954	Solve for z	3+ square root of z-12=- square root of z+3	$3 + \sqrt{z - 12} = - \sqrt{z + 3}$
237955	Graph	y>3x-2 2y-x<=10	$y > 3 x - 2$ $2 y - x \leq 10$
237956	Solve for x	1-3/x=6/(x^2+2x)	$1 - \frac{3}{x} = \frac{6}{x^{2} + 2 x}$
237957	Solve the System of Inequalities	y>=-1/3x+8 y<5/3x-4	$y \geq - \frac{1}{3} x + 8$ $y < \frac{5}{3} x - 4$
237958	Evaluate	1/2(5)^2pi/4	$\frac{1}{2} {(5)}^{2} \frac{π}{4}$
237959	Solve for x	3x=21/4	$3 x = \frac{21}{4}$
237960	Simplify	4/(5x)-(2x)/5	$\frac{4}{5 x} - \frac{2 x}{5}$
237961	Simplify	(3/4x-27)-(7x-35)	$(\frac{3}{4} x - 27) - (7 x - 35)$
237962	Multiply	2pi*1/2	$2 π \cdot \frac{1}{2}$
237963	Find the Product	(2x-y)(x+5y)	$(2 x - y) (x + 5 y)$
237964	Solve the System of Equations	y=(x+4)^2-1 and y=-3x-13	$y = {(x + 4)}^{2} - 1$ and $y = - 3 x - 13$
237965	Solve for q	q+r+s=p	$q + r + s = p$
237966	Graph Using a Table of Values	g(x)=3/4*2^x	$g (x) = \frac{3}{4} \cdot 2^{x}$
237967	Find the x and y Intercepts	f(x)=(x^2+4)(x^2-3)(x-8)^2	$f (x) = (x^{2} + 4) (x^{2} - 3) {(x - 8)}^{2}$
237968	Solve for x	1/3(x-15)+2x=16	$\frac{1}{3} (x - 15) + 2 x = 16$
237969	Solve the System of Equations	y=3x+5 y=4x^2+x	$y = 3 x + 5$ $y = 4 x^{2} + x$
237970	Evaluate	((x^2+2xy+y^2)(x^2-2xy+y^2))/(2(x+y))=0	$\frac{(x^{2} + 2 x y + y^{2}) (x^{2} - 2 x y + y^{2})}{2 (x + y)} = 0$
237971	Graph	y=\|x\| and y=\|x-5\|	$y = \| x \|$ and $y = \| x - 5 \|$
237972	Graph	(-2 square root of 3,2)	$(- 2 \sqrt{3}, 2)$
237973	Solve the Inequality for x	square root of 2x-6<=6	$\sqrt{2 x - 6} \leq 6$
237974	Find the GCF	60 , 120 , 105	$60$ , $120$ , $105$
237975	Divide	(-2x^3-3x^2-4x+12)/(4x)	$\frac{- 2 x^{3} - 3 x^{2} - 4 x + 12}{4 x}$
237976	Solve for x	80=2(x+5)^2	$80 = 2 {(x + 5)}^{2}$
237977	Factor	4x^2+2x+1/4	$4 x^{2} + 2 x + \frac{1}{4}$
237978	Write the Fraction in Simplest Form	(cos(-x))/(tan(-x))+sin(-x)	$\frac{\cos (- x)}{\tan (- x)} + \sin (- x)$
237979	Evaluate	2x(x-4)	$2 x (x - 4)$
237980	Factor by Grouping	3x^5-75x^3	$3 x^{5} - 75 x^{3}$
237981	Graph	8+\|4v-7\|>=17	$8 + \| 4 v - 7 \| \geq 17$
237982	Simplify	-(16x^5)/(8x)	$- \frac{16 x^{5}}{8 x}$
237983	Graph	y=(x-2)^-2	$y = {(x - 2)}^{- 2}$
237984	Find the Inverse	y=-2 square root of x	$y = - 2 \sqrt{x}$
237985	Solve for x	(x+3)^(2/5)-7(x+3)^(1/5)+12=0	${(x + 3)}^{\frac{2}{5}} - 7 {(x + 3)}^{\frac{1}{5}} + 12 = 0$
237986	Solve by Graphing	y=1/3x+2 -x+3y=6	$y = \frac{1}{3} x + 2$ $- x + 3 y = 6$
237987	Simplify	1/(( square root of 6)/3)	$\frac{1}{\frac{\sqrt{6}}{3}}$
237988	Find the Roots (Zeros)	square root of x+8=x+6	$\sqrt{x + 8} = x + 6$
237989	Simplify	(rcos(theta)-2)^2	${(r \cos (θ) - 2)}^{2}$
237990	Simplify	-3/7*8	$- \frac{3}{7} \cdot 8$
237991	Subtract	(-2x^3+x)-(7x-3-7x^3)	$(- 2 x^{3} + x) - (7 x - 3 - 7 x^{3})$
237992	Simplify	(27x)^(2/3)(1024x)^(1/5)	${(27 x)}^{\frac{2}{3}} {(1024 x)}^{\frac{1}{5}}$
237993	Simplify	3/(4/(6/7))	$\frac{3}{\frac{4}{\frac{6}{7}}}$
237994	Evaluate	1/4x+1+3/4x-2/3-1/2x	$\frac{1}{4} x + 1 + \frac{3}{4} x - \frac{2}{3} - \frac{1}{2} x$
237995	Evaluate	5/a+1/2=6/a	$\frac{5}{a} + \frac{1}{2} = \frac{6}{a}$
237996	Solve for x	c(x+q)=5n	$c (x + q) = 5 n$
237997	Find the Excluded Values	1/(x-2)-5/(x+7)=9/(x^2+5x-14)	$\frac{1}{x - 2} - \frac{5}{x + 7} = \frac{9}{x^{2} + 5 x - 14}$
237998	Solve for v	-1+ square root of v-11=6	$- 1 + \sqrt{v - 11} = 6$
237999	Simplify	(x-6)/x-7/(2x)	$\frac{x - 6}{x} - \frac{7}{2 x}$
238000	Solve the System of Equations	(x+3)^2+(y-5)^2=65 -2x+y=-4	${(x + 3)}^{2} + {(y - 5)}^{2} = 65$ $- 2 x + y = - 4$