Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232801	Simplify	2(4^k+4^k)	$2 (4^{k} + 4^{k})$
232802	Simplify	(6b^3+2b^4)+(8b^4+2b-6b^3)	$(6 b^{3} + 2 b^{4}) + (8 b^{4} + 2 b - 6 b^{3})$
232803	Solve for r	a=pi(r+2)^2	$a = π {(r + 2)}^{2}$
232804	Determine if Linear	2y=6x^2-x+3	$2 y = 6 x^{2} - x + 3$
232805	Simplify	(2 square root of 12)/( square root of 75)	$\frac{2 \sqrt{12}}{\sqrt{75}}$
232806	Find the Holes in the Graph	(2x^2-2)/(x^2-x)	$\frac{2 x^{2} - 2}{x^{2} - x}$
232807	Solve by Factoring	2x^2=3x+10	$2 x^{2} = 3 x + 10$
232808	Solve for z	z-4.7>=-1.6	$z - 4.7 \geq - 1.6$
232809	Graph	-2x^4-3x^2+x-1	$- 2 x^{4} - 3 x^{2} + x - 1$
232810	Simplify	x/(4x-8)	$\frac{x}{4 x - 8}$
232811	Graph Using a Table of Values	y = cube root of x-1	$y = \sqrt[3]{x - 1}$
232812	Simplify	7^-2x^2	$7^{- 2} x^{2}$
232813	Simplify	(8+6x^2-5x)+(x+x^2-1)	$(8 + 6 x^{2} - 5 x) + (x + x^{2} - 1)$
232814	Solve the Inequality for x	9^x*3^(x+2)=3^(f(x))	$9^{x} \cdot 3^{x + 2} = 3^{f (x)}$
232815	Simplify the Radical Expression	2/(1+ square root of 5)	$\frac{2}{1 + \sqrt{5}}$
232816	Solve the Rational Equation for x	3/(x+2)-1/x=1/(5x)	$\frac{3}{x + 2} - \frac{1}{x} = \frac{1}{5 x}$
232817	Solve for t	-8-5(10t+1)>=4t-10-9t	$- 8 - 5 (10 t + 1) \geq 4 t - 10 - 9 t$
232818	Simplify	square root of x+ square root of y+x+3 square root of y	$\sqrt{x} + \sqrt{y} + x + 3 \sqrt{y}$
232819	Find the Roots (Zeros)	x^4+x^3-4x^2-4x	$x^{4} + x^{3} - 4 x^{2} - 4 x$
232820	Simplify	-5 cube root of 64+3 square root of 25+2 cube root of 512-3 cube root of -64	$- 5 \sqrt[3]{64} + 3 \sqrt{25} + 2 \sqrt[3]{512} - 3 \sqrt[3]{- 64}$
232821	Evaluate	3(x^2-1)-(x^2-7x+10)	$3 (x^{2} - 1) - (x^{2} - 7 x + 10)$
232822	Simplify	-1/3(7x-(x^2)/2)	$- \frac{1}{3} (7 x - \frac{x^{2}}{2})$
232823	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3-4x^2-29x-24 is divided by x-8	Use the long division method to find the result when $x^{3} - 4 x^{2} - 29 x - 24$ is divided by $x - 8$
232824	Write in Exponential Form	(3)^4*(3)^3	${(3)}^{4} \cdot {(3)}^{3}$
232825	Find the Holes in the Graph	(x+10)/(2x^2+38x+180)	$\frac{x + 10}{2 x^{2} + 38 x + 180}$
232826	Simplify the Radical Expression	square root of 20+ square root of 48-3 square root of 125	$\sqrt{20} + \sqrt{48} - 3 \sqrt{125}$
232827	Evaluate	3/8*1 5/7	$\frac{3}{8} \cdot 1 \frac{5}{7}$
232828	Solve for n	n=-3+ square root of n+23	$n = - 3 + \sqrt{n + 23}$
232829	Solve the Rational Equation for v	11=2+ square root of 90-v	$11 = 2 + \sqrt{90 - v}$
232830	Simplify	(9x)/(x^2-25)(x^2+5x)/(2x-4)(x^2+3x-10)/(3x^4)	$\frac{9 x}{x^{2} - 25} \cdot \frac{x^{2} + 5 x}{2 x - 4} \cdot \frac{x^{2} + 3 x - 10}{3 x^{4}}$
232831	Solve the System of Equations	3x-2y=0 x-y=-1	$3 x - 2 y = 0$ $x - y = - 1$
232832	Solve for x	-7x-3=2-7x-5	$- 7 x - 3 = 2 - 7 x - 5$
232833	Evaluate Using the Given Value	Evaluate a-b if a=22 and b=5	Evaluate $a - b$ if $a = 22$ and $b = 5$
232834	Simplify	2(5a-4a)+6a	$2 (5 a - 4 a) + 6 a$
232835	Solve for x	square root of 7x+5 = square root of 9x	$\sqrt{7 x + 5} = \sqrt{9 x}$
232836	Solve for x	x+2x+4x+5x+6x+8x+9x+10x=360	$x + 2 x + 4 x + 5 x + 6 x + 8 x + 9 x + 10 x = 360$
232837	Solve by Factoring	x^2(1/x)+x(1- natural log of x)-x- natural log of x = natural log of x	$x^{2} (\frac{1}{x}) + x (1 - \ln (x)) - x - \ln (x) = \ln (x)$
232838	Factor	b(x)=x^3+x^2-9x-9	$b (x) = x^{3} + x^{2} - 9 x - 9$
232839	Simplify	3 square root of 8/512	$3 \sqrt{\frac{8}{512}}$
232840	Solve for d	6d^(2/3)-11d^(1/3)-2=0	$6 d^{\frac{2}{3}} - 11 d^{\frac{1}{3}} - 2 = 0$
232841	Solve Using the Square Root Property	(x-14)^2+13=12	${(x - 14)}^{2} + 13 = 12$
232842	Simplify	(6x^(1/m))(2x^(1/2))	$(6 x^{\frac{1}{m}}) (2 x^{\frac{1}{2}})$
232843	Solve for x	(4x+12)/2=3x-5	$\frac{4 x + 12}{2} = 3 x - 5$
232844	Evaluate	-( square root of 2)^2-2 square root of 2+3	$- {(\sqrt{2})}^{2} - 2 \sqrt{2} + 3$
232845	Find the LCM	15 and 18	$15$ and $18$
232846	Find the Domain and Range	2-\|x-1\|	$2 - \| x - 1 \|$
232847	Simplify	(2x+3)x(4x+1)	$(2 x + 3) \cdot x \cdot (4 x + 1)$
232848	Find the Inverse	7(x-3)^(1/5)	$7 {(x - 3)}^{\frac{1}{5}}$
232849	Evaluate	6-(3x-2i)^2	$6 - {(3 x - 2 i)}^{2}$
232850	Simplify	( square root of a^3)/( square root of a)	$\frac{\sqrt{a^{3}}}{\sqrt{a}}$
232851	Multiply	(x^2-x-6)/(2x^2+x-6)*(2x^2+5x-12)/(x^2-9)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6} \cdot \frac{2 x^{2} + 5 x - 12}{x^{2} - 9}$
232852	Solve for x	-7/6-5/(x-1)=-3/(x-1)	$- \frac{7}{6} - \frac{5}{x - 1} = - \frac{3}{x - 1}$
232853	Simplify the Radical Expression	-3 square root of 5* square root of 20	$- 3 \sqrt{5} \cdot \sqrt{20}$
232854	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,4) and has a slope of 4/5 ?	What is the equation of the line that passes through the point $(5, 4)$ and has a slope of $\frac{4}{5}$ ?
232855	Solve for x	(x+3)/((x-4)^2(x^2-4))<=0	$\frac{x + 3}{{(x - 4)}^{2} (x^{2} - 4)} \leq 0$
232856	Simplify	1/2 square root of 48+2 square root of 27-4 square root of 12	$\frac{1}{2} \sqrt{48} + 2 \sqrt{27} - 4 \sqrt{12}$
232857	Find the Complex Conjugate	i+6i	$i + 6 i$
232858	Simplify	(x^2)/((x-y)^2)-(x+y)/(2x-2y)	$\frac{x^{2}}{{(x - y)}^{2}} - \frac{(x + y)}{2 x - 2 y}$
232859	Evaluate	(3x-1)/(9x-5)=(x+1)/(3x+1)	$\frac{3 x - 1}{9 x - 5} = \frac{x + 1}{3 x + 1}$
232860	Solve the Inequality for y	9y+5(y+3)<4y-35	$9 y + 5 (y + 3) < 4 y - 35$
232861	Find the Exact Value	cos((3pi)/4)cos((5pi)/12)-sin((3pi)/4)sin((5pi)/12)	$\cos (\frac{3 π}{4}) \cos (\frac{5 π}{12}) - \sin (\frac{3 π}{4}) \sin (\frac{5 π}{12})$
232862	Evaluate	cos(pi/2-x)sec(x)	$\cos (\frac{π}{2} - x) \sec (x)$
232863	Simplify	(xy-x^2y)(2x-3xy+y)	$(x y - x^{2} y) (2 x - 3 x y + y)$
232864	Evaluate	20% of 95	$20 %$ of $95$
232865	Solve for x	square root of (2x-4)/8=2	$\sqrt{\frac{2 x - 4}{8}} = 2$
232866	Evaluate	16% of 50	$16 %$ of $50$
232867	Divide Using Long Polynomial Division	(3x^3-5x^2-4x-8)÷(2x^2+x)	$(3 x^{3} - 5 x^{2} - 4 x - 8) \div (2 x^{2} + x)$
232868	Solve for x	3^(2+x)=27	$3^{2 + x} = 27$
232869	Solve for x	fourth root of 1/3x-8=2	$\sqrt[4]{\frac{1}{3} x - 8} = 2$
232870	Find the Roots (Zeros)	f(x)=x(x+3)(x-1)(2x+1)	$f (x) = x (x + 3) (x - 1) (2 x + 1)$
232871	Evaluate	(1-tan(x))^2=sec(x)^2-2tan(x)	${(1 - \tan (x))}^{2} = \sec^{2} (x) - 2 \tan (x)$
232872	Solve the System of Equations	y=-3x 4x+y=2	$y = - 3 x$ $4 x + y = 2$
232873	Evaluate	log of 1/2*16	$\log (\frac{1}{2} \cdot 16)$
232874	Find the Exact Value	(4/5)÷2	$\frac{4}{5} \div 2$
232875	Simplify	square root of (a^2b)/(c^7d^4)	$\sqrt{\frac{a^{2} b}{c^{7} d^{4}}}$
232876	Simplify	(rs^35)/(s^35)	$\frac{r s^{35}}{s^{35}}$
232877	Simplify	(1+x)(1-x)(1+x^2)	$(1 + x) (1 - x) (1 + x^{2})$
232878	Evaluate	6/(x^2-9)-1/(x-3)=1	$\frac{6}{x^{2} - 9} - \frac{1}{x - 3} = 1$
232879	Find the Distance Between Two Points	(-6,0) and (-3,-4)	$(- 6, 0)$ and $(- 3, - 4)$
232880	Evaluate Using the Given Value	Find P(theta) if theta=510 degrees	Find $P (θ)$ if $θ = 510 °$
232881	Solve Using the Quadratic Formula	3x^2+5x+2 1/12	$3 x^{2} + 5 x + 2 \frac{1}{12}$
232882	Rationalize the Denominator	( square root of a+3)/(6- square root of a+3)	$\frac{\sqrt{a + 3}}{6 - \sqrt{a + 3}}$
232883	Evaluate	log of 1/3*27	$\log (\frac{1}{3} \cdot 27)$
232884	Simplify	(5xy^-1)/( square root of 25xy)	$\frac{5 x y^{- 1}}{\sqrt{25 x y}}$
232885	Find the Domain and Range	2(1/2)^(x+1)+2	$2 {(\frac{1}{2})}^{x + 1} + 2$
232886	Simplify	(3x+2)/(x+4)+(x-1)/(x^2+x-12)	$\frac{3 x + 2}{x + 4} + \frac{x - 1}{x^{2} + x - 12}$
232887	Divide	(3x^3y^4-9x^5y^6+6x^3y^3)/(6x^3y^2)	$\frac{3 x^{3} y^{4} - 9 x^{5} y^{6} + 6 x^{3} y^{3}}{6 x^{3} y^{2}}$
232888	Solve Over the Interval	3=tan(2x-pi) in (pi/2,(3pi)/4)	$3 = \tan (2 x - π)$ in $(\frac{π}{2}, \frac{3 π}{4})$
232889	Multiply	-1/4*(-9/2)	$- \frac{1}{4} \cdot (- \frac{9}{2})$
232890	Evaluate	(pi/2)÷2pi	$\frac{π}{2} \div 2 π$
232891	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-6) and has a slope of -1/3 ?	What is the equation of the line that passes through the point $(- 6, - 6)$ and has a slope of $- \frac{1}{3}$ ?
232892	Graph	{(-1,1/2),(-1/2,-1),(3/2,0),(2,3/2)}	${(- 1, \frac{1}{2}), (- \frac{1}{2}, - 1), (\frac{3}{2}, 0), (2, \frac{3}{2})}$
232893	Convert to a Percentage	0.3 of 14	$0.3$ of $14$
232894	Multiply	[[0,2,3,-1],[2,-2,1,-2]][[-1],[-4],[0],[0]]	$[\begin{array}{c} 0 & 2 & 3 & - 1 \\ 2 & - 2 & 1 & - 2 \end{array}] [\begin{array}{c} - 1 \\ - 4 \\ 0 \\ 0 \end{array}]$
232895	Determine if Linear	y^3=x	$y^{3} = x$
232896	Solve the System of Equations	9x+2y=5 y-2x+3=0	$9 x + 2 y = 5$ $y - 2 x + 3 = 0$
232897	Graph	y>-5x^2 y>3x^2-2	$y > - 5 x^{2}$ $y > 3 x^{2} - 2$
232898	Simplify the Radical Expression	square root of 144- square root of -50- square root of 49- square root of -98	$\sqrt{144} - \sqrt{- 50} - \sqrt{49} - \sqrt{- 98}$
232899	Simplify the Radical Expression	( square root of 3t^2s^3)/(4 square root of 5ts^3)	$\frac{\sqrt{3 t^{2} s^{3}}}{4 \sqrt{5 t s^{3}}}$
232900	Simplify	((2x^0y^3)^-3)/(x^3y^4*2x^2y^0)	$\frac{{(2 x^{0} y^{3})}^{- 3}}{x^{3} y^{4} \cdot 2 x^{2} y^{0}}$