Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231801	Solve the Inequality for x	9- square root of x+4<=6	$9 - \sqrt{x + 4} \leq 6$
231802	Simplify	fourth root of 1/3* fourth root of 48	$\sqrt[4]{\frac{1}{3}} \cdot \sqrt[4]{48}$
231803	Divide	((3x^2+13x+4)/(x^2-4))÷((4x+16)/(x+2))	$\frac{3 x^{2} + 13 x + 4}{x^{2} - 4} \div \frac{4 x + 16}{x + 2}$
231804	Find All Complex Solutions	3x^4-x^2+6=0	$3 x^{4} - x^{2} + 6 = 0$
231805	Determine the Possible Number of Real Roots	-5x^5+4x^3-3x+1=0	$- 5 x^{5} + 4 x^{3} - 3 x + 1 = 0$
231806	Evaluate	4(1/2)^2-4(1/2)+1	$4 {(\frac{1}{2})}^{2} - 4 (\frac{1}{2}) + 1$
231807	Find the Inverse	( square root of x)/5	$\frac{\sqrt{x}}{5}$
231808	Solve for c	3c(c+2)=0	$3 c (c + 2) = 0$
231809	Solve the Inequality for y	-3<=2y+1<=9	$- 3 \leq 2 y + 1 \leq 9$
231810	Solve the Inequality for x	x+7<0	$x + 7 < 0$
231811	Evaluate	(-5)^2*(2/5)^2	${(- 5)}^{2} \cdot {(\frac{2}{5})}^{2}$
231812	Solve by Substitution	x=7-y x=-2y+12	$x = 7 - y$ $x = - 2 y + 12$
231813	Solve the Inequality for x	6x^2-9<=-11x-7	$6 x^{2} - 9 \leq - 11 x - 7$
231814	Solve the System of Equations	4x^2-y^2=4 x^2+y^2=1	$4 x^{2} - y^{2} = 4$ $x^{2} + y^{2} = 1$
231815	Evaluate	square root of (1-cos((7pi)/6))/2	$\sqrt{\frac{1 - \cos (\frac{7 π}{6})}{2}}$
231816	Evaluate	square root of (2x^5)/18	$\sqrt{\frac{2 x^{5}}{18}}$
231817	Evaluate	(-7-i)/(-8+i)	$\frac{- 7 - i}{- 8 + i}$
231818	Subtract	(4x)/7-(8x)/3	$\frac{4 x}{7} - \frac{8 x}{3}$
231819	Factor	y=x^2-6x	$y = x^{2} - 6 x$
231820	Simplify	square root of 5*2 square root of 32-21 square root of 10	$\sqrt{5} \cdot 2 \sqrt{32} - 21 \sqrt{10}$
231821	Simplify	y^3-2y^3+3y^3-2x^3+5x+3x-7x^3	$y^{3} - 2 y^{3} + 3 y^{3} - 2 x^{3} + 5 x + 3 x - 7 x^{3}$
231822	Simplify	( fourth root of 5-4)/( fourth root of 20)	$\frac{\sqrt[4]{5} - 4}{\sqrt[4]{20}}$
231823	Simplify	(1-a)/(a^2-a+1)+(a^2)/(a^3+1)	$\frac{(1 - a)}{a^{2} - a + 1} + \frac{a^{2}}{a^{3} + 1}$
231824	Simplify	1 square root of 81	$1 \sqrt{81}$
231825	Find the Domain and Range	-2cos(5/4x)	$- 2 \cos (\frac{5}{4} x)$
231826	Graph	x+y=2 y=-1/3x-2	$x + y = 2$ $y = - \frac{1}{3} x - 2$
231827	Simplify	(8x-20)/(x^2+2x-35)*(x^2-7x+10)/(4x^2-16)	$\frac{8 x - 20}{x^{2} + 2 x - 35} \cdot \frac{x^{2} - 7 x + 10}{4 x^{2} - 16}$
231828	Simplify	(10x^2+15x+20)÷(5x+5)	$(10 x^{2} + 15 x + 20) \div (5 x + 5)$
231829	Solve for u	u^3=-125	$u^{3} = - 125$
231830	Evaluate Using the Given Value	Evaluate 4-2f when f=1	Evaluate $4 - 2 f$ when $f = 1$
231831	Graph Using a Table of Values	y=e^(-2x)	$y = e^{- 2 x}$
231832	Solve the Inequality for x	x/-1>2/5	$\frac{x}{- 1} > \frac{2}{5}$
231833	Find the x and y Intercepts	f(x)=(x+2)^2+2x	$f (x) = {(x + 2)}^{2} + 2 x$
231834	Solve by Substitution	2y=-2x+16 y-8=-x	$2 y = - 2 x + 16$ $y - 8 = - x$
231835	Evaluate	((2c^4)/5)^-3	${(\frac{2 c^{4}}{5})}^{- 3}$
231836	Graph	3(x-2)>y+8	$3 (x - 2) > y + 8$
231837	Solve the System of Equations	-x+6y=2 and -3x+y=-11	$- x + 6 y = 2$ and $- 3 x + y = - 11$
231838	Evaluate	tan(theta)=4/3	$\tan (θ) = \frac{4}{3}$
231839	Determine if Parallel	8x-2y=4 and x+4y=-12	$8 x - 2 y = 4$ and $x + 4 y = - 12$
231840	Evaluate	20% of 300	$20 %$ of $300$
231841	Simplify	(2x1/3*y3/5)^2	${(2 x \frac{1}{3} \cdot y \frac{3}{5})}^{2}$
231842	Simplify	x^5x^-4x^10x^-3x^6	$x^{5} \cdot x^{- 4} \cdot x^{10} \cdot x^{- 3} \cdot x^{6}$
231843	Simplify	(x^2+x)/(x-3)*(x+3)/(x+1)	$\frac{x^{2} + x}{x - 3} \cdot \frac{x + 3}{x + 1}$
231844	Simplify	3^2+1*2	$3^{2} + 1 \times 2$
231845	Simplify	(2/3r^2s^7)^2*(1/6r^3s)	${(\frac{2}{3} r^{2} s^{7})}^{2} \cdot (\frac{1}{6} r^{3} s)$
231846	Simplify	(8x^3+22x^2-163x-44)(x+6)^-1	$(8 x^{3} + 22 x^{2} - 163 x - 44) {(x + 6)}^{- 1}$
231847	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4-10x^3-4x^2+5x+5 is divided by x-1	Use synthetic division to find the result when $4 x^{4} - 10 x^{3} - 4 x^{2} + 5 x + 5$ is divided by $x - 1$
231848	Solve for r	SA=4pir^2	$S A = 4 π r^{2}$
231849	Solve the System of Inequalities	x>3 and x<5	$x > 3$ and $x < 5$
231850	Simplify	fourth root of 17+ fourth root of 17	$\sqrt[4]{17} + \sqrt[4]{17}$
231851	Simplify	(4 fourth root of 80x^5)÷( fourth root of 5x)	$4 \sqrt[4]{80 x^{5}} \div \sqrt[4]{5 x}$
231852	Solve for k	k^2-13k=0	$k^{2} - 13 k = 0$
231853	Find the Exact Value	(1/2)^-2+3^0	${(\frac{1}{2})}^{- 2} + 3^{0}$
231854	Simplify	( square root of 16x^3y)/(2x^2y)	$\frac{\sqrt{16 x^{3} y}}{2 x^{2} y}$
231855	Simplify	(27-x^3)/((3-x)^2)	$\frac{(27 - x^{3})}{{(3 - x)}^{2}}$
231856	Solve for n	1/n=1/(5n)-(n-1)/(5n)	$\frac{1}{n} = \frac{1}{5 n} - \frac{n - 1}{5 n}$
231857	Factor	3ax-2-x+6a	$3 a x - 2 - x + 6 a$
231858	Graph	y-1<=4x	$y - 1 \leq 4 x$
231859	Simplify	(1-4)^-2	${(1 - 4)}^{- 2}$
231860	Find the Midpoint	P_1=(3,5) , P_2=(1,9)	$P_{1} = (3, 5)$ , $P_{2} = (1, 9)$
231861	Graph	x=\|x\|	$x = \| x \|$
231862	Solve for x	square root of x+2=1- square root of 3x+7	$\sqrt{x + 2} = 1 - \sqrt{3 x + 7}$
231863	Simplify	-3/( square root of 7-9)	$\frac{- 3}{\sqrt{7} - 9}$
231864	Find the Product	(x+y)(2x-y)	$(x + y) (2 x - y)$
231865	Graph	y=1/4x-3 2x-8y=24	$y = \frac{1}{4} x - 3$ $2 x - 8 y = 24$
231866	Convert to Radical Form	(36x)^(1/2)(49x)^(1/2)	${(36 x)}^{\frac{1}{2}} {(49 x)}^{\frac{1}{2}}$
231867	Write in Standard Form	(9n^3-4n^2+2n-10)+(-2n^2+n+7)	$(9 n^{3} - 4 n^{2} + 2 n - 10) + (- 2 n^{2} + n + 7)$
231868	Identify the Zeros and Their Multiplicities	P(x)=5(x+1)^2(x-2)^3	$P (x) = 5 {(x + 1)}^{2} {(x - 2)}^{3}$
231869	Simplify	tan(theta)sec(theta)sin(theta)	$\tan (θ) \sec (θ) \sin (θ)$
231870	Simplify	3(8x+4)-7(6x^2+2x-1)	$3 (8 x + 4) - 7 (6 x^{2} + 2 x - 1)$
231871	Solve the Inequality for x	4x+y<=15	$4 x + y \leq 15$
231872	Solve for x	\|(2x-1)/(x+3)\|=(1-2x)/(-x-3)	$\| \frac{2 x - 1}{x + 3} \| = \frac{1 - 2 x}{- x - 3}$
231873	Solve the System of Equations	4x-5y=3 x=3-1/2y	$4 x - 5 y = 3$ $x = 3 - \frac{1}{2} y$
231874	Solve for y	y^(1/4)=-5	$y^{\frac{1}{4}} = - 5$
231875	Simplify	(36x)^(1/2)(49x)^(1/2)	${(36 x)}^{\frac{1}{2}} {(49 x)}^{\frac{1}{2}}$
231876	Solve the Inequality for k	-6<=-2k+8<=2	$- 6 \leq - 2 k + 8 \leq 2$
231877	Solve for x	9x^4+17x^2=2	$9 x^{4} + 17 x^{2} = 2$
231878	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+5x^2+11x+18 is divided by x+2	Use the long division method to find the result when $2 x^{3} + 5 x^{2} + 11 x + 18$ is divided by $x + 2$
231879	Simplify the Radical Expression	(4 square root of 3)/5-( square root of 3)/5+3/5 square root of 3	$\frac{4 \sqrt{3}}{5} - \frac{\sqrt{3}}{5} + \frac{3}{5} \sqrt{3}$
231880	Evaluate Using the Given Value	Evaluate 6+x if x=3	Evaluate $6 + x$ if $x = 3$
231881	Solve for a	(6x^2)(4x^2)=a*x^b	$(6 x^{2}) (4 x^{2}) = a \cdot x^{b}$
231882	Solve for r	r^3-64=0	$r^{3} - 64 = 0$
231883	Describe the Transformation	m(x)=4p(x-3)-5	$m (x) = 4 p (x - 3) - 5$
231884	Evaluate	6+(3(7)-3*6)	$6 + (3 (7) - 3 \cdot 6)$
231885	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,8) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(4, 8)$ and has a slope of $\frac{3}{2}$ ?
231886	Simplify	square root of 3( square root of 6-2 square root of 54)	$\sqrt{3} (\sqrt{6} - 2 \sqrt{54})$
231887	Solve for x	y = natural log of 7x	$y = \ln (7 x)$
231888	Simplify	-2n^-2*(-n)	$- 2 n^{- 2} \cdot (- n)$
231889	Evaluate	(-r-10)-(-4r^3+r^2+7r)	$(- r - 10) - (- 4 r^{3} + r^{2} + 7 r)$
231890	Find the LCM	16 and 24	$16$ and $24$
231891	Find the GCF	30x^5y^8z-18xy^4	$30 x^{5} y^{8} z - 18 x y^{4}$
231892	Multiply	7x^(3/2)*-14x^(1/3)	$7 x^{\frac{3}{2}} \cdot - 14 x^{\frac{1}{3}}$
231893	Find All Complex Solutions	\|x+4\|=x-1	$\| x + 4 \| = x - 1$
231894	Graph	x=2 square root of 3y	$x = 2 \sqrt{3 y}$
231895	Convert to Radical Form	x^(2/3)y^(-1/3)	$x^{\frac{2}{3}} y^{- \frac{1}{3}}$
231896	Simplify	((-2xy^-3)/(3x^-1))^4*(w^2y)^-2	${(\frac{- 2 x y^{- 3}}{3 x^{- 1}})}^{4} \cdot {(w^{2} y)}^{- 2}$
231897	Evaluate	(2^5- square root of 36)-45÷(3^2)+8	$(2^{5} - \sqrt{36}) - 45 \div 3^{2} + 8$
231898	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3-4x^2-19x+12 is divided by x-4	Use synthetic division to find the result when $2 x^{3} - 4 x^{2} - 19 x + 12$ is divided by $x - 4$
231899	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+5x^2+17x+10 is divided by 3x+2	Use the long division method to find the result when $3 x^{3} + 5 x^{2} + 17 x + 10$ is divided by $3 x + 2$
231900	Find the LCD	6/(5x+8) and 5/x	$\frac{6}{5 x + 8}$ and $\frac{5}{x}$