Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229801	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+3x^2-21x-28 is divided by x-4	Use synthetic division to find the result when $x^{3} + 3 x^{2} - 21 x - 28$ is divided by $x - 4$
229802	Solve the System of Equations	y=2x-10 2y=x-8	$y = 2 x - 10$ $2 y = x - 8$
229803	Multiply	(k^2+12k+32)/(k^2+13k+40)*(k^2+5k)/(k^2+6k+8)	$\frac{k^{2} + 12 k + 32}{k^{2} + 13 k + 40} \cdot \frac{k^{2} + 5 k}{k^{2} + 6 k + 8}$
229804	Solve the Rational Equation for x	fourth root of 4x-13=-15	$\sqrt[4]{4 x} - 13 = - 15$
229805	Simplify the Radical Expression	(2^0*2^3)/( square root of 2)	$\frac{2^{0} \cdot 2^{3}}{\sqrt{2}}$
229806	Solve the Inequality for v	5v+10<=-4v-17<9-2v	$5 v + 10 \leq - 4 v - 17 < 9 - 2 v$
229807	Simplify	((ab+b^2)/3)÷((b^3)/(3a))+(a+b)/b	$\frac{a b + b^{2}}{3} \div \frac{b^{3}}{3 a} + \frac{a + b}{b}$
229808	Find the Inverse	f(x)=( fifth root of 3(x+8))/10	$f (x) = \frac{\sqrt[5]{3 (x + 8)}}{10}$
229809	Evaluate	8-\|-6\|+3	$8 - \| - 6 \| + 3$
229810	Solve for x	(x+4)/3-(x+7)/2=-1/6	$\frac{x + 4}{3} - \frac{x + 7}{2} = \frac{- 1}{6}$
229811	Find f(g(x))	f(x)=1/(x-4) , g(x)=2/x+4	$f (x) = \frac{1}{x - 4}$ , $g (x) = \frac{2}{x} + 4$
229812	Solve the System of Inequalities	x-2y>-8 x+y>=1	$x - 2 y > - 8$ $x + y \geq 1$
229813	Solve for x	4=1+ square root of x	$4 = 1 + \sqrt{x}$
229814	Factor	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
229815	Solve the Inequality for t	3.5+4t<=39.5	$3.5 + 4 t \leq 39.5$
229816	Factor	x^4-7x^2+6x	$x^{4} - 7 x^{2} + 6 x$
229817	Write Using Positive Exponents	4a^3b^2*3a^-4b^-3	$4 a^{3} b^{2} \cdot 3 a^{- 4} b^{- 3}$
229818	Simplify	(1/x)^4*(1/x)^5	${(\frac{1}{x})}^{4} \cdot {(\frac{1}{x})}^{5}$
229819	Simplify	-(6-3i)/(3+7i)	$- \frac{6 - 3 i}{3 + 7 i}$
229820	Factor	ax^2-(1+ab)xy+by^2	$a x^{2} - (1 + a b) x y + b y^{2}$
229821	Solve the Inequality for k	-8k-12<-9k	$- 8 k - 12 < - 9 k$
229822	Factor	x^4-6x^3-3x^2+52x-60	$x^{4} - 6 x^{3} - 3 x^{2} + 52 x - 60$
229823	Reduce	cube root of square root of 8	$\sqrt[3]{\sqrt{8}}$
229824	Simplify	-(3i)^3	$- {(3 i)}^{3}$
229825	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+10x^3+14x^2+12x+5 is divided by x+1	Use synthetic division to find the result when $3 x^{4} + 10 x^{3} + 14 x^{2} + 12 x + 5$ is divided by $x + 1$
229826	Simplify	(2)(-2)-35÷(12-5)	$(2) (- 2) - 35 \div (12 - 5)$
229827	Solve the Inequality for x	-3<(2x-6)/4<5	$- 3 < \frac{2 x - 6}{4} < 5$
229828	Graph	y=x+8 if x<4; 4x-4 if x>=4	$y = {\begin{cases} x + 8 & x < 4 \\ 4 x - 4 & x \geq 4 \end{cases}$
229829	Solve for x	3/4x+2/8x=48/8	$\frac{3}{4} x + \frac{2}{8} x = \frac{48}{8}$
229830	Evaluate Using the Given Value	Evaluate 6+x if x=6	Evaluate $6 + x$ if $x = 6$
229831	Solve for x	4/3(x-5/6)=62/9	$\frac{4}{3} (x - \frac{5}{6}) = \frac{62}{9}$
229832	Simplify	fifth root of x^7* cube root of x^2	$\sqrt[5]{x^{7}} \cdot \sqrt[3]{x^{2}}$
229833	Graph	y=1/2(1)^x	$y = \frac{1}{2} {(1)}^{x}$
229834	Simplify	6x^3-3y^2-z+2x^2+3y^2-7z	$6 x^{3} - 3 y^{2} - z + 2 x^{2} + 3 y^{2} - 7 z$
229835	Evaluate	3z+9+14z=4z+5	$3 z + 9 + 14 z = 4 z + 5$
229836	Simplify the Radical Expression	cube root of (5x^3)/(49x^5)	$\sqrt[3]{\frac{5 x^{3}}{49 x^{5}}}$
229837	Multiply	(x-y-z)(x+y+z)	$(x - y - z) (x + y + z)$
229838	Evaluate	6*6^-1	$6 \times 6^{- 1}$
229839	Multiply	4/3pi6^3	$\frac{4}{3} \cdot π \cdot 6^{3}$
229840	Graph	(1/x)^(-)*5	${(\frac{1}{x})}^{-} \cdot 5$
229841	Solve the System of Equations	x+2y=-4 4y=3x+12	$x + 2 y = - 4$ $4 y = 3 x + 12$
229842	Evaluate	e^(x-1)-5=5	$e^{x - 1} - 5 = 5$
229843	Find the LCM	x , x^2	$x$ , $x^{2}$
229844	Graph	2x=-2/3y	$2 x = - \frac{2}{3} y$
229845	Find the Equation Using Point-Slope Formula	(1,-1) y=3/2x+5	$(1, - 1)$ $y = \frac{3}{2} x + 5$
229846	Simplify	square root of -4* square root of 2* square root of -8* square root of 4	$\sqrt{- 4} \cdot \sqrt{2} \cdot \sqrt{- 8} \cdot \sqrt{4}$
229847	Simplify the Radical Expression	9^(1/3)*81^(1/3)	$9^{\frac{1}{3}} \cdot 81^{\frac{1}{3}}$
229848	Solve for x	7 2/5=2/3x-4 1/2	$7 \frac{2}{5} = \frac{2}{3} x - 4 \frac{1}{2}$
229849	Solve for y	(x+2)+(2y-1)i=-1+5i	$(x + 2) + (2 y - 1) i = - 1 + 5 i$
229850	Solve Using the Quadratic Formula	(7w-10)+4=0	$(7 w - 10) + 4 = 0$
229851	Write in Standard Form	(-4-7i)*(3+i)	$(- 4 - 7 i) \cdot (3 + i)$
229852	Simplify	x^-5x^(2/3)	$x^{- 5} x^{\frac{2}{3}}$
229853	Graph	y>x 2 y<=x-2	$y > x$ $2$ $y \leq x - 2$
229854	Solve for y	y=(100(0.02)+x(0.005))/(100+x)	$y = \frac{100 (0.02) + x (0.005)}{100 + x}$
229855	Solve the Rational Equation for x	fourth root of 3x-5=-8	$\sqrt[4]{3 x - 5} = - 8$
229856	Graph	F(x)=1/(-x^2)	$F (x) = \frac{1}{- x^{2}}$
229857	Simplify	( cube root of u^4)( cube root of 2u^8)	$(\sqrt[3]{u^{4}}) (\sqrt[3]{2 u^{8}})$
229858	Solve for x	y=(100(0.02)+x(0.005))/(100+x)	$y = \frac{100 (0.02) + x (0.005)}{100 + x}$
229859	Find the Inverse	y=(2x-1)^2-2	$y = {(2 x - 1)}^{2} - 2$
229860	Solve for a	-2a-4+a=-a-4	$- 2 a - 4 + a = - a - 4$
229861	Solve for x	1=1/x	$1 = \frac{1}{x}$
229862	Simplify	(3x+1)+( square root of 3x-6+1)	$(3 x + 1) + (\sqrt{3 x - 6} + 1)$
229863	Solve for x	3/5(x+1/6)=-23/10	$\frac{3}{5} (x + \frac{1}{6}) = - \frac{23}{10}$
229864	Solve the System of Equations	x^2+y^2=169 x^2+y=13	$x^{2} + y^{2} = 169$ $x^{2} + y = 13$
229865	Evaluate	(-7-(-4))^3+2^4	${(- 7 - (- 4))}^{3} + 2^{4}$
229866	Simplify	(2x^5-6x^2+4x^4y)/(2x)	$\frac{2 x^{5} - 6 x^{2} + 4 x^{4} y}{2 x}$
229867	Simplify	((2+2^3)^2)/5	$\frac{{(2 + 2^{3})}^{2}}{5}$
229868	Graph	f(x^2)	$f (x^{2})$
229869	Solve by Factoring	18x^3=50x	$18 x^{3} = 50 x$
229870	Simplify	(x1/4)/(x1/5)	$\frac{x \frac{1}{4}}{x \frac{1}{5}}$
229871	Solve Using the Quadratic Formula	5x^2+1/5=2x	$5 x^{2} + \frac{1}{5} = 2 x$
229872	Solve for x	(7(x-1))/2-5x=1/2	$\frac{7 (x - 1)}{2} - 5 x = \frac{1}{2}$
229873	Solve for a	c=(ab)/(a+b)	$c = \frac{a b}{a + b}$
229874	Solve for t	3/4\|8t-12\|=6(t-1)	$\frac{3}{4} \| 8 t - 12 \| = 6 (t - 1)$
229875	Solve for h	-9h>(-63)	$- 9 h > (- 63)$
229876	Factor	2(x+1)(x-1)+5(x-1)	$2 (x + 1) (x - 1) + 5 (x - 1)$
229877	Simplify	(3+i square root of 3)/((i- square root of 3)^2)	$\frac{(3 + i \sqrt{3})}{{(i - \sqrt{3})}^{2}}$
229878	Factor	x(y-z)-w(y-z)	$x (y - z) - w (y - z)$
229879	Solve for x	7x+3=4x-5x+12	$7 x + 3 = 4 x - 5 x + 12$
229880	Simplify	x/(3x)+(8x)/(3x)	$\frac{x}{3 x} + \frac{8 x}{3 x}$
229881	Solve the System of Inequalities	x/-3<=2 or 2x+8<=-10	$\frac{x}{- 3} \leq 2$ or $2 x + 8 \leq - 10$
229882	Write in Slope-Intercept Form	(4,-3) , y=3x-5	$(4, - 3)$ , $y = 3 x - 5$
229883	Simplify	1/(x+1)+3/(x^2-1)-2/((x+1)^2)	$\frac{1}{x + 1} + \frac{3}{x^{2} - 1} - \frac{2}{{(x + 1)}^{2}}$
229884	Solve the Inequality for k	7k-3+5<-5	$7 k - 3 + 5 < - 5$
229885	Simplify	((w^2-81)/(4w^2+27w-7))÷((w^2-5w-36)/(w^2+11w+28))	$\frac{w^{2} - 81}{4 w^{2} + 27 w - 7} \div \frac{w^{2} - 5 w - 36}{w^{2} + 11 w + 28}$
229886	Solve the Inequality for y	\|y+2\|>6	$\| y + 2 \| > 6$
229887	Solve the Rational Equation for x	-2+1/(x-1)=x/(x-1)	$- 2 + \frac{1}{x - 1} = \frac{x}{x - 1}$
229888	Factor by Grouping	64-40ab	$64 - 40 a b$
229889	Simplify	1/(4x^5)*((2x^2)/(y^3))^5	$\frac{1}{4 x^{5}} \cdot {(\frac{2 x^{2}}{y^{3}})}^{5}$
229890	Simplify	cube root of 24-2 fourth root of 112+3 fourth root of 7	$\sqrt[3]{24} - 2 \sqrt[4]{112} + 3 \sqrt[4]{7}$
229891	Simplify	(3x^5y^2)/( square root of 4x^2y^5)	$\frac{3 x^{5} y^{2}}{\sqrt{4 x^{2} y^{5}}}$
229892	Divide	(5/10)÷(6/12)	$\frac{5}{10} \div \frac{6}{12}$
229893	Graph	f(x)=\|x\| g(x)=\|x\|-4	$f (x) = \| x \|$ $g (x) = \| x \| - 4$
229894	Find the Inverse	f(x)=(x-2)^2 , [2,infinity)	$f (x) = {(x - 2)}^{2}$ , $[2, \infty)$
229895	Simplify	x square root of 72x^3-3 square root of 8x^5+x square root of 2x^3	$x \sqrt{72 x^{3}} - 3 \sqrt{8 x^{5}} + x \sqrt{2 x^{3}}$
229896	Solve the System of Inequalities	4x+5<-4 OR 9x-2>-17	$4 x + 5 < - 4$ OR $9 x - 2 > - 17$
229897	Solve the Inequality for n	1>n+4	$1 > n + 4$
229898	Solve the Inequality for x	4\|5+2x\|+1>=13	$4 \| 5 + 2 x \| + 1 \geq 13$
229899	Solve for x	1/(x-1)-1/(x+1)=2/(x^2-1)	$\frac{1}{x - 1} - \frac{1}{x + 1} = \frac{2}{x^{2} - 1}$
229900	Find the Degree	-56a^2y^3+23a^2y-29a+17	$- 56 a^{2} y^{3} + 23 a^{2} y - 29 a + 17$