Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227701	Solve the Inequality for d	5d+2(d-3)>36	$5 d + 2 (d - 3) > 36$
227702	Find the Domain and Range	(2x^2)/(x^2-1)	$\frac{2 x^{2}}{x^{2} - 1}$
227703	Evaluate	12t-2<-5t+36	$12 t - 2 < - 5 t + 36$
227704	Evaluate	1/( cube root of 9.9*10^14)	$\frac{1}{\sqrt[3]{9.9 \cdot 10^{14}}}$
227705	Evaluate	-2(3)^-1	$- 2 {(3)}^{- 1}$
227706	Simplify	((3x^(1/2))/15)^2	${(\frac{3 x^{\frac{1}{2}}}{15})}^{2}$
227707	Simplify	1/(7x^3)*(x^2)/2	$\frac{1}{7 x^{3}} \cdot \frac{x^{2}}{2}$
227708	Solve the Inequality for x	x+1<-2x+11<3x+5	$x + 1 < - 2 x + 11 < 3 x + 5$
227709	Solve for x	square root of 7+ square root of 2x=3	$\sqrt{7 + \sqrt{2 x}} = 3$
227710	Find the Magnitude	(-3,4)	$(- 3, 4)$
227711	Find the Vertices	4x^2+y^2-36=0	$4 x^{2} + y^{2} - 36 = 0$
227712	Solve the System of Equations	2x-y=4 (x+3)^2+y^2=8	$2 x - y = 4$ ${(x + 3)}^{2} + y^{2} = 8$
227713	Simplify	1/3x+1/4+2/3x	$\frac{1}{3} x + \frac{1}{4} + \frac{2}{3} x$
227714	Graph	6x-x^3-x^5	$6 x - x^{3} - x^{5}$
227715	Simplify	4xy-2x+4x-8xy	$4 x y - 2 x + 4 x - 8 x y$
227716	Simplify the Radical Expression	4/( cube root of 4)	$\frac{4}{\sqrt[3]{4}}$
227717	Solve the Inequality for x	square root of x+5+4<=13	$\sqrt{x + 5} + 4 \leq 13$
227718	Solve for θ	100cos(theta)=w(5/13)	$100 \cos (θ) = w (\frac{5}{13})$
227719	Simplify the Radical Expression	cube root of (x^9)/27	$\sqrt[3]{\frac{x^{9}}{27}}$
227720	Write in Standard Form	(9f+6)-(3f-2)	$(9 f + 6) - (3 f - 2)$
227721	Solve for x	2x^2-36=x	$2 x^{2} - 36 = x$
227722	Solve for x	x^2+(-1/4)^2=1^2	$x^{2} + {(- \frac{1}{4})}^{2} = 1^{2}$
227723	Subtract	6/(y-5)-(y+5)/(y^2-25)	$\frac{6}{y - 5} - \frac{y + 5}{y^{2} - 25}$
227724	Write in Standard Form	f(x)=6x+8x^4-3	$f (x) = 6 x + 8 x^{4} - 3$
227725	Solve for t	The product of 9 and t is 387	The product of $9$ and $t$ is $387$
227726	Find the Equation of the Circle	Center: (0,0) ; Radius: 3	Center: $(0, 0)$ ; Radius: $3$
227727	Find the Product	5x^-3y^4(7x^3+2y^-4)	$5 x^{- 3} y^{4} (7 x^{3} + 2 y^{- 4})$
227728	Solve for x	2/3(7/8+4x)-5/8=3/8	$\frac{2}{3} (\frac{7}{8} + 4 x) - \frac{5}{8} = \frac{3}{8}$
227729	Factor by Grouping	12a^3+4a^2+3ab+b	$12 a^{3} + 4 a^{2} + 3 a b + b$
227730	Convert to Interval Notation	x<4 and x>-2	$x < 4$ and $x > - 2$
227731	Solve Using the Quadratic Formula	1/2y^2-2/3=5/6y	$\frac{1}{2} y^{2} - \frac{2}{3} = \frac{5}{6} y$
227732	Solve the System of Inequalities	x>-3 y<-1/3x+3 y>x-1	$x > - 3$ $y < - \frac{1}{3} x + 3$ $y > x - 1$
227733	Simplify	cube root of x^5-2 cube root of x^7- cube root of x^8	$\sqrt[3]{x^{5}} - 2 \sqrt[3]{x^{7}} - \sqrt[3]{x^{8}}$
227734	Evaluate	sin((5pi)/4)cos(-(11pi)/6)	$\sin (\frac{5 π}{4}) \cos (- \frac{11 π}{6})$
227735	Evaluate	(1 2/3+2 1/6)*24/23	$(1 \frac{2}{3} + 2 \frac{1}{6}) \cdot \frac{24}{23}$
227736	Evaluate	(2+ square root of -8)/(1+ square root of -2)	$\frac{2 + \sqrt{- 8}}{1 + \sqrt{- 2}}$
227737	Write the Fraction in Simplest Form	(4c^-3)/(-4(d^4c^5)^-4)	$\frac{4 c^{- 3}}{- 4 {(d^{4} c^{5})}^{- 4}}$
227738	Solve for d	(3d+3)/4-2=(12d-3)/10	$\frac{3 d + 3}{4} - 2 = \frac{12 d - 3}{10}$
227739	Simplify	((i-1)/2)^2+(i-1)/2	${(\frac{i - 1}{2})}^{2} + \frac{i - 1}{2}$
227740	Solve for x	54-1/7yi=9x-4i	$54 - \frac{1}{7} y i = 9 x - 4 i$
227741	Divide	(x+x^4)/(x^2-x+1)	$\frac{x + x^{4}}{x^{2} - x + 1}$
227742	Evaluate	70% of 90	$70 %$ of $90$
227743	Simplify	(5^-2t^4u^-3)/(t^-7u^6)	$\frac{5^{- 2} t^{4} u^{- 3}}{t^{- 7} u^{6}}$
227744	Find the LCM	8v-2 , v+5	$8 v - 2$ , $v + 5$
227745	Evaluate Using the Given Value	2x^2-4x+1 when x=2	$2 x^{2} - 4 x + 1$ when $x = 2$
227746	Graph	f(x)=(x-5)/(3x^2-16x+5)	$f (x) = \frac{x - 5}{3 x^{2} - 16 x + 5}$
227747	Solve the System of Inequalities	y<=-3x-7 y>=3/4x+8	$y \leq - 3 x - 7$ $y \geq \frac{3}{4} x + 8$
227748	Simplify	sin(x)^2-sin(x)^2	$\sin^{2} (x) - \sin^{2} (x)$
227749	Graph	x^2+y^2<=49 y>=\|x^2+1\|	$x^{2} + y^{2} \leq 49$ $y \geq \| x^{2} + 1 \|$
227750	Multiply	-5x^3(4x^5-7x^2+3x)	$- 5 x^{3} (4 x^{5} - 7 x^{2} + 3 x)$
227751	Solve for x	5=(1/5)^x	$5 = {(\frac{1}{5})}^{x}$
227752	Simplify	square root of (450x^7y^5)/(2x^5y^3)	$\sqrt{\frac{450 x^{7} y^{5}}{2 x^{5} y^{3}}}$
227753	Find the Complex Conjugate	square root of 2-7	$\sqrt{2} - 7$
227754	Convert to Radical Form	(2x^(3/2))/((16x^4)^(1/4))	$\frac{2 x^{\frac{3}{2}}}{{(16 x^{4})}^{\frac{1}{4}}}$
227755	Simplify	Simplify ((6x^2-24)/(x^2+9x+14))÷((3x^2+6x-24)/(x^2+2x-35))	Simplify $\frac{6 x^{2} - 24}{x^{2} + 9 x + 14} \div \frac{3 x^{2} + 6 x - 24}{x^{2} + 2 x - 35}$
227756	Solve by Substitution	x-3y=3 2x=3y	$x - 3 y = 3$ $2 x = 3 y$
227757	Solve the System of Equations	-5x+10y-4z=10 x+4y-4z=-8 x-7y+4z=3	$- 5 x + 10 y - 4 z = 10$ $x + 4 y - 4 z = - 8$ $x - 7 y + 4 z = 3$
227758	Solve the System of Equations	x+y=0 3x+y=-4	$x + y = 0$ $3 x + y = - 4$
227759	Multiply	3 3/48/94 9/12	$3 \frac{3}{4} \cdot \frac{8}{9} \cdot 4 \frac{9}{12}$
227760	Solve the Rational Equation for x	(x+5)/5=6/(x-2)	$\frac{x + 5}{5} = \frac{6}{x - 2}$
227761	Factor by Grouping	(x^2-6x)^2+(x^2-6x)-56	${(x^{2} - 6 x)}^{2} + (x^{2} - 6 x) - 56$
227762	Describe the Transformation	w(x)=f(x-7)	$w (x) = f (x - 7)$
227763	Simplify	-(35ax^2)/(12b^2)*(8ab)/(21xy)	$- \frac{35 a x^{2}}{12 b^{2}} \cdot \frac{8 a b}{21 x y}$
227764	Find the Holes in the Graph	y=((x-4)(x+5))/((x+5)(x+5))	$y = \frac{(x - 4) (x + 5)}{(x + 5) (x + 5)}$
227765	Solve the System of Equations	3x-3y+6z=18 x+2y-z=18 5x-8y+13z=18	$3 x - 3 y + 6 z = 18$ $x + 2 y - z = 18$ $5 x - 8 y + 13 z = 18$
227766	Graph	x+y<4 2x-y>3	$x + y < 4$ $2 x - y > 3$
227767	Multiply	(45x^2)/(x-9)*(x^2-5x-36)/(3x^3+12x^2)	$\frac{45 x^{2}}{x - 9} \cdot \frac{x^{2} - 5 x - 36}{3 x^{3} + 12 x^{2}}$
227768	Subtract	1/6-1/10	$\frac{1}{6} - \frac{1}{10}$
227769	Simplify	fourth root of (2x)^8	$\sqrt[4]{{(2 x)}^{8}}$
227770	Solve for y	2(y-1)^2+8=80	$2 {(y - 1)}^{2} + 8 = 80$
227771	Find the Excluded Values	(x^2-16)/(x^2-81)	$\frac{x^{2} - 16}{x^{2} - 81}$
227772	Simplify	(w^5)/(w*w^4)	$\frac{w^{5}}{w \cdot w^{4}}$
227773	Simplify the Radical Expression	( square root of -81)/( square root of 3)	$\frac{\sqrt{- 81}}{\sqrt{3}}$
227774	Evaluate	\|-24÷(2^2)\|	$\| - 24 \div 2^{2} \|$
227775	Solve for x	x^3+2x-1=2	$x^{3} + 2 x - 1 = 2$
227776	Write as a Single Logarithm	3- log base 2 of x-1/3 log base 2 of y	$3 - \log_{2} (x) - \frac{1}{3} \log_{2} (y)$
227777	Expand Using the Binomial Theorem	(2/a+(a^2)/3)^11	${(\frac{2}{a} + \frac{a^{2}}{3})}^{11}$
227778	Find All Complex Solutions	18x^2+25=475	$18 x^{2} + 25 = 475$
227779	Simplify	(8r^3)/(2t^-5)	$\frac{8 r^{3}}{2 t^{- 5}}$
227780	Find the x and y Intercepts	f(x)=2(x-1)^2(5x+1)^2(x+2)(x^2+16)(x+2)	$f (x) = 2 {(x - 1)}^{2} {(5 x + 1)}^{2} (x + 2) (x^{2} + 16) (x + 2)$
227781	Simplify	(4+1/(x^2))/(3-1/(x^2))	$\frac{4 + \frac{1}{x^{2}}}{3 - \frac{1}{x^{2}}}$
227782	Solve for x	2 = square root of 8x	$2 = \sqrt{8 x}$
227783	Evaluate	(2^2)/(2^-7)*2	$\frac{2^{2}}{2^{- 7}} \cdot 2$
227784	Solve the Inequality for a	a+7>10	$a + 7 > 10$
227785	Find the Domain and Range	y=-4/5 square root of x	$y = - \frac{4}{5} \sqrt{x}$
227786	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-8) and has a slope of 1/3 ?	What is the equation of the line that passes through the point $(- 6, - 8)$ and has a slope of $\frac{1}{3}$ ?
227787	Solve by Substitution	y=x+4 x-y=1	$y = x + 4$ $x - y = 1$
227788	Find the LCD	7/(15a^2) , 3/(10ab^3) , 1/(8b^2)	$\frac{7}{15 a^{2}}$ , $\frac{3}{10 a b^{3}}$ , $\frac{1}{8 b^{2}}$
227789	Evaluate	(3x^2)/(x^2-x-30)-(3x+5)/(x-6)	$\frac{3 x^{2}}{x^{2} - x - 30} - \frac{3 x + 5}{x - 6}$
227790	Find the x and y Intercepts	y=1/2*(1/4)^x	$y = \frac{1}{2} \cdot {(\frac{1}{4})}^{x}$
227791	Simplify	5y-9y+6x-2y	$5 y - 9 y + 6 x - 2 y$
227792	Simplify	x^2+x-2x^2+3x	$x^{2} + x - 2 x^{2} + 3 x$
227793	Find the Function	f(x)=(3x-1)^3	$f (x) = {(3 x - 1)}^{3}$
227794	Simplify the Radical Expression	square root of cube root of 5y^6	$\sqrt{\sqrt[3]{5 y^{6}}}$
227795	Multiply	2pi*1/4	$2 π \cdot \frac{1}{4}$
227796	Simplify	(4x^2)/(2x1/2)	$\frac{4 x^{2}}{2 x \frac{1}{2}}$
227797	Write in Standard Form	(4n-3n^3)-(3n^3+4n)	$(4 n - 3 n^{3}) - (3 n^{3} + 4 n)$
227798	Evaluate	1/3* log base 4 of 8+ log base 4 of 15	$\frac{1}{3} \cdot \log_{4} (8) + \log_{4} (15)$
227799	Convert to a Percentage	40 is what percent of 50	$40$ is what percent of $50$
227800	Write the Fraction in Simplest Form	(12x^-2)/((3p^-1x^-5)^-3)	$\frac{12 x^{- 2}}{{(3 p^{- 1} x^{- 5})}^{- 3}}$