Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231801	Evaluate	(-7-i)/(-8+i)	$\frac{- 7 - i}{- 8 + i}$
231802	Subtract	(4x)/7-(8x)/3	$\frac{4 x}{7} - \frac{8 x}{3}$
231803	Factor	y=x^2-6x	$y = x^{2} - 6 x$
231804	Simplify	square root of 5*2 square root of 32-21 square root of 10	$\sqrt{5} \cdot 2 \sqrt{32} - 21 \sqrt{10}$
231805	Simplify	y^3-2y^3+3y^3-2x^3+5x+3x-7x^3	$y^{3} - 2 y^{3} + 3 y^{3} - 2 x^{3} + 5 x + 3 x - 7 x^{3}$
231806	Simplify	( fourth root of 5-4)/( fourth root of 20)	$\frac{\sqrt[4]{5} - 4}{\sqrt[4]{20}}$
231807	Simplify	(1-a)/(a^2-a+1)+(a^2)/(a^3+1)	$\frac{(1 - a)}{a^{2} - a + 1} + \frac{a^{2}}{a^{3} + 1}$
231808	Simplify	1 square root of 81	$1 \sqrt{81}$
231809	Find the Domain and Range	-2cos(5/4x)	$- 2 \cos (\frac{5}{4} x)$
231810	Graph	x+y=2 y=-1/3x-2	$x + y = 2$ $y = - \frac{1}{3} x - 2$
231811	Simplify	(8x-20)/(x^2+2x-35)*(x^2-7x+10)/(4x^2-16)	$\frac{8 x - 20}{x^{2} + 2 x - 35} \cdot \frac{x^{2} - 7 x + 10}{4 x^{2} - 16}$
231812	Simplify	(10x^2+15x+20)÷(5x+5)	$(10 x^{2} + 15 x + 20) \div (5 x + 5)$
231813	Solve for u	u^3=-125	$u^{3} = - 125$
231814	Evaluate Using the Given Value	Evaluate 4-2f when f=1	Evaluate $4 - 2 f$ when $f = 1$
231815	Graph Using a Table of Values	y=e^(-2x)	$y = e^{- 2 x}$
231816	Solve the Inequality for x	x/-1>2/5	$\frac{x}{- 1} > \frac{2}{5}$
231817	Find the x and y Intercepts	f(x)=(x+2)^2+2x	$f (x) = {(x + 2)}^{2} + 2 x$
231818	Solve by Substitution	2y=-2x+16 y-8=-x	$2 y = - 2 x + 16$ $y - 8 = - x$
231819	Evaluate	((2c^4)/5)^-3	${(\frac{2 c^{4}}{5})}^{- 3}$
231820	Graph	3(x-2)>y+8	$3 (x - 2) > y + 8$
231821	Solve the System of Equations	-x+6y=2 and -3x+y=-11	$- x + 6 y = 2$ and $- 3 x + y = - 11$
231822	Evaluate	tan(theta)=4/3	$\tan (θ) = \frac{4}{3}$
231823	Determine if Parallel	8x-2y=4 and x+4y=-12	$8 x - 2 y = 4$ and $x + 4 y = - 12$
231824	Evaluate	20% of 300	$20 %$ of $300$
231825	Simplify	(2x1/3*y3/5)^2	${(2 x \frac{1}{3} \cdot y \frac{3}{5})}^{2}$
231826	Simplify	x^5x^-4x^10x^-3x^6	$x^{5} \cdot x^{- 4} \cdot x^{10} \cdot x^{- 3} \cdot x^{6}$
231827	Simplify	(x^2+x)/(x-3)*(x+3)/(x+1)	$\frac{x^{2} + x}{x - 3} \cdot \frac{x + 3}{x + 1}$
231828	Simplify	3^2+1*2	$3^{2} + 1 \times 2$
231829	Simplify	(2/3r^2s^7)^2*(1/6r^3s)	${(\frac{2}{3} r^{2} s^{7})}^{2} \cdot (\frac{1}{6} r^{3} s)$
231830	Simplify	(8x^3+22x^2-163x-44)(x+6)^-1	$(8 x^{3} + 22 x^{2} - 163 x - 44) {(x + 6)}^{- 1}$
231831	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 $x - 1$
231832	Solve for r	SA=4pir^2	$S A = 4 π r^{2}$
231833	Solve the System of Inequalities	x>3 and x<5	$x > 3$ and $x < 5$
231834	Simplify	fourth root of 17+ fourth root of 17	$\sqrt[4]{17} + \sqrt[4]{17}$
231835	Simplify	(4 fourth root of 80x^5)÷( fourth root of 5x)	$4 \sqrt[4]{80 x^{5}} \div \sqrt[4]{5 x}$
231836	Solve for k	k^2-13k=0	$k^{2} - 13 k = 0$
231837	Find the Exact Value	(1/2)^-2+3^0	${(\frac{1}{2})}^{- 2} + 3^{0}$
231838	Simplify	( square root of 16x^3y)/(2x^2y)	$\frac{\sqrt{16 x^{3} y}}{2 x^{2} y}$
231839	Simplify	(27-x^3)/((3-x)^2)	$\frac{(27 - x^{3})}{{(3 - x)}^{2}}$
231840	Solve for n	1/n=1/(5n)-(n-1)/(5n)	$\frac{1}{n} = \frac{1}{5 n} - \frac{n - 1}{5 n}$
231841	Factor	3ax-2-x+6a	$3 a x - 2 - x + 6 a$
231842	Graph	y-1<=4x	$y - 1 \leq 4 x$
231843	Simplify	(1-4)^-2	${(1 - 4)}^{- 2}$
231844	Find the Midpoint	P_1=(3,5) , P_2=(1,9)	$P_{1} = (3, 5)$ , $P_{2} = (1, 9)$
231845	Graph	x=\|x\|	$x = \| x \|$
231846	Solve for x	square root of x+2=1- square root of 3x+7	$\sqrt{x + 2} = 1 - \sqrt{3 x + 7}$
231847	Simplify	-3/( square root of 7-9)	$\frac{- 3}{\sqrt{7} - 9}$
231848	Find the Product	(x+y)(2x-y)	$(x + y) (2 x - y)$
231849	Graph	y=1/4x-3 2x-8y=24	$y = \frac{1}{4} x - 3$ $2 x - 8 y = 24$
231850	Convert to Radical Form	(36x)^(1/2)(49x)^(1/2)	${(36 x)}^{\frac{1}{2}} {(49 x)}^{\frac{1}{2}}$
231851	Write in Standard Form	(9n^3-4n^2+2n-10)+(-2n^2+n+7)	$(9 n^{3} - 4 n^{2} + 2 n - 10) + (- 2 n^{2} + n + 7)$
231852	Identify the Zeros and Their Multiplicities	P(x)=5(x+1)^2(x-2)^3	$P (x) = 5 {(x + 1)}^{2} {(x - 2)}^{3}$
231853	Simplify	tan(theta)sec(theta)sin(theta)	$\tan (θ) \sec (θ) \sin (θ)$
231854	Simplify	3(8x+4)-7(6x^2+2x-1)	$3 (8 x + 4) - 7 (6 x^{2} + 2 x - 1)$
231855	Solve the Inequality for x	4x+y<=15	$4 x + y \leq 15$
231856	Solve for x	\|(2x-1)/(x+3)\|=(1-2x)/(-x-3)	$\| \frac{2 x - 1}{x + 3} \| = \frac{1 - 2 x}{- x - 3}$
231857	Solve the System of Equations	4x-5y=3 x=3-1/2y	$4 x - 5 y = 3$ $x = 3 - \frac{1}{2} y$
231858	Solve for y	y^(1/4)=-5	$y^{\frac{1}{4}} = - 5$
231859	Simplify	(36x)^(1/2)(49x)^(1/2)	${(36 x)}^{\frac{1}{2}} {(49 x)}^{\frac{1}{2}}$
231860	Solve the Inequality for k	-6<=-2k+8<=2	$- 6 \leq - 2 k + 8 \leq 2$
231861	Solve for x	9x^4+17x^2=2	$9 x^{4} + 17 x^{2} = 2$
231862	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 $x + 2$
231863	Simplify the Radical Expression	(4 square root of 3)/5-( square root of 3)/5+3/5 square root of 3	$\frac{4 \sqrt{3}}{5} - \frac{\sqrt{3}}{5} + \frac{3}{5} \sqrt{3}$
231864	Evaluate Using the Given Value	Evaluate 6+x if x=3	Evaluate $6 + x$ if $x = 3$
231865	Solve for a	(6x^2)(4x^2)=a*x^b	$(6 x^{2}) (4 x^{2}) = a \cdot x^{b}$
231866	Solve for r	r^3-64=0	$r^{3} - 64 = 0$
231867	Describe the Transformation	m(x)=4p(x-3)-5	$m (x) = 4 p (x - 3) - 5$
231868	Evaluate	6+(3(7)-3*6)	$6 + (3 (7) - 3 \cdot 6)$
231869	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 $\frac{3}{2}$ ?
231870	Simplify	square root of 3( square root of 6-2 square root of 54)	$\sqrt{3} (\sqrt{6} - 2 \sqrt{54})$
231871	Solve for x	y = natural log of 7x	$y = \ln (7 x)$
231872	Simplify	-2n^-2*(-n)	$- 2 n^{- 2} \cdot (- n)$
231873	Evaluate	(-r-10)-(-4r^3+r^2+7r)	$(- r - 10) - (- 4 r^{3} + r^{2} + 7 r)$
231874	Find the LCM	16 and 24	$16$ and $24$
231875	Find the GCF	30x^5y^8z-18xy^4	$30 x^{5} y^{8} z - 18 x y^{4}$
231876	Multiply	7x^(3/2)*-14x^(1/3)	$7 x^{\frac{3}{2}} \cdot - 14 x^{\frac{1}{3}}$
231877	Find All Complex Solutions	\|x+4\|=x-1	$\| x + 4 \| = x - 1$
231878	Graph	x=2 square root of 3y	$x = 2 \sqrt{3 y}$
231879	Convert to Radical Form	x^(2/3)y^(-1/3)	$x^{\frac{2}{3}} y^{- \frac{1}{3}}$
231880	Simplify	((-2xy^-3)/(3x^-1))^4*(w^2y)^-2	${(\frac{- 2 x y^{- 3}}{3 x^{- 1}})}^{4} \cdot {(w^{2} y)}^{- 2}$
231881	Evaluate	(2^5- square root of 36)-45÷(3^2)+8	$(2^{5} - \sqrt{36}) - 45 \div 3^{2} + 8$
231882	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 $x - 4$
231883	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 $3 x + 2$
231884	Find the LCD	6/(5x+8) and 5/x	$\frac{6}{5 x + 8}$ and $\frac{5}{x}$
231885	Factor	-6x^4y-9x^3y^2+3x^2y^3	$- 6 x^{4} y - 9 x^{3} y^{2} + 3 x^{2} y^{3}$
231886	Convert to Interval Notation	x<=-3 or x>1	$x \leq - 3$ or $x > 1$
231887	Find the GCF	-24a^2b^2+36ab-60a	$- 24 a^{2} b^{2} + 36 a b - 60 a$
231888	Solve for x	1-2(6-x)=3x+2	$1 - 2 (6 - x) = 3 x + 2$
231889	Evaluate the Function	f(x)=x^2-4x-2 at x=1	$f (x) = x^{2} - 4 x - 2$ at $x = 1$
231890	Solve the System of Equations	5x-2y=3 y=2x	$5 x - 2 y = 3$ $y = 2 x$
231891	Simplify	((4x^-3y^2)^2)/((2x^3y^5)^0)	$\frac{{(4 x^{- 3} y^{2})}^{2}}{{(2 x^{3} y^{5})}^{0}}$
231892	Graph	-(x+3)(x+1)(x-2)	$- (x + 3) (x + 1) (x - 2)$
231893	Find the Distance Between Two Points	(-1,7) and (9,5)	$(- 1, 7)$ and $(9, 5)$
231894	Simplify	(2x)/3+(x+3)/(3x+18)	$\frac{2 x}{3} + \frac{x + 3}{3 x + 18}$
231895	Graph	-3/2 square root of x	$- \frac{3}{2} \sqrt{x}$
231896	Find the Exact Value	(3^-8*7^3)^-2	${(3^{- 8} \cdot 7^{3})}^{- 2}$
231897	Simplify	-2 square root of 64+5 square root of -64+ cube root of -729	$- 2 \sqrt{64} + 5 \sqrt{- 64} + \sqrt[3]{- 729}$
231898	Simplify	(x^2-25)^3-15(x^2-25)^2+75(x^2-25)-125	${(x^{2} - 25)}^{3} - 15 {(x^{2} - 25)}^{2} + 75 (x^{2} - 25) - 125$
231899	Solve the System of Equations	x^2+(y+3)^2=25 x-y=4	$x^{2} + {(y + 3)}^{2} = 25$ $x - y = 4$
231900	Find the Product	(-18m^2n)^2(-1/6mn^2)	${(- 18 m^{2} n)}^{2} (- \frac{1}{6} m n^{2})$