Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232801	Evaluate	((-1)^4)/4-(-1)^3+3(-1)^2	$\frac{{(- 1)}^{4}}{4} - {(- 1)}^{3} + 3 {(- 1)}^{2}$
232802	Simplify	(2 square root of 3)/(2 square root of 15)	$\frac{2 \sqrt{3}}{2 \sqrt{15}}$
232803	Evaluate the Function	F(0)=4x-2	$F (0) = 4 x - 2$
232804	Solve the Inequality for n	60>5-5n	$60 > 5 - 5 n$
232805	Find the Product	3^5*7^5=e^5	$3^{5} \cdot 7^{5} = e^{5}$
232806	Solve for x	cos(2/3x-pi/2)-1=0	$\cos (\frac{2}{3} x - \frac{π}{2}) - 1 = 0$
232807	Solve by Substitution	2x-3y=13 y=1/2x-7/2	$2 x - 3 y = 13$ $y = \frac{1}{2} x - \frac{7}{2}$
232808	Simplify	The sum of (6x-7) and (3x-5) is	The sum of $(6 x - 7)$ and $(3 x - 5)$ is
232809	Solve for x	2x+5(-4/7)=2	$2 x + 5 (- \frac{4}{7}) = 2$
232810	Simplify	3y+3y+5+7x^3-y-6-7x^3	$3 y + 3 y + 5 + 7 x^{3} - y - 6 - 7 x^{3}$
232811	Simplify	-4n+1/3m+4n-4/5m	$- 4 n + \frac{1}{3} m + 4 n - \frac{4}{5} m$
232812	Find the Area of the Triangle	(-4,-5) , (-3,2) and (9,0)	$(- 4, - 5)$ , $(- 3, 2)$ and $(9, 0)$
232813	Evaluate	52-200/(2^2)*3+7^(1+3)	$52 - \frac{200}{2^{2}} \cdot 3 + 7^{1 + 3}$
232814	Solve for v	4/(v+4)=8/(2v+8)-3	$\frac{4}{v + 4} = \frac{8}{2 v + 8} - 3$
232815	Graph	y=2÷x	$y = 2 \div x$
232816	Simplify the Radical Expression	seventh root of 4^-10	$\sqrt[7]{4^{- 10}}$
232817	Simplify	2(4^k+4^k)	$2 (4^{k} + 4^{k})$
232818	Simplify	(6b^3+2b^4)+(8b^4+2b-6b^3)	$(6 b^{3} + 2 b^{4}) + (8 b^{4} + 2 b - 6 b^{3})$
232819	Solve for r	a=pi(r+2)^2	$a = π {(r + 2)}^{2}$
232820	Determine if Linear	2y=6x^2-x+3	$2 y = 6 x^{2} - x + 3$
232821	Simplify	(2 square root of 12)/( square root of 75)	$\frac{2 \sqrt{12}}{\sqrt{75}}$
232822	Find the Holes in the Graph	(2x^2-2)/(x^2-x)	$\frac{2 x^{2} - 2}{x^{2} - x}$
232823	Solve by Factoring	2x^2=3x+10	$2 x^{2} = 3 x + 10$
232824	Solve for z	z-4.7>=-1.6	$z - 4.7 \geq - 1.6$
232825	Graph	-2x^4-3x^2+x-1	$- 2 x^{4} - 3 x^{2} + x - 1$
232826	Simplify	x/(4x-8)	$\frac{x}{4 x - 8}$
232827	Graph Using a Table of Values	y = cube root of x-1	$y = \sqrt[3]{x - 1}$
232828	Simplify	7^-2x^2	$7^{- 2} x^{2}$
232829	Simplify	(8+6x^2-5x)+(x+x^2-1)	$(8 + 6 x^{2} - 5 x) + (x + x^{2} - 1)$
232830	Solve the Inequality for x	9^x*3^(x+2)=3^(f(x))	$9^{x} \cdot 3^{x + 2} = 3^{f (x)}$
232831	Simplify the Radical Expression	2/(1+ square root of 5)	$\frac{2}{1 + \sqrt{5}}$
232832	Solve the Rational Equation for x	3/(x+2)-1/x=1/(5x)	$\frac{3}{x + 2} - \frac{1}{x} = \frac{1}{5 x}$
232833	Solve for t	-8-5(10t+1)>=4t-10-9t	$- 8 - 5 (10 t + 1) \geq 4 t - 10 - 9 t$
232834	Simplify	square root of x+ square root of y+x+3 square root of y	$\sqrt{x} + \sqrt{y} + x + 3 \sqrt{y}$
232835	Find the Roots (Zeros)	x^4+x^3-4x^2-4x	$x^{4} + x^{3} - 4 x^{2} - 4 x$
232836	Simplify	-5 cube root of 64+3 square root of 25+2 cube root of 512-3 cube root of -64	$- 5 \sqrt[3]{64} + 3 \sqrt{25} + 2 \sqrt[3]{512} - 3 \sqrt[3]{- 64}$
232837	Evaluate	3(x^2-1)-(x^2-7x+10)	$3 (x^{2} - 1) - (x^{2} - 7 x + 10)$
232838	Simplify	-1/3(7x-(x^2)/2)	$- \frac{1}{3} (7 x - \frac{x^{2}}{2})$
232839	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 $x - 8$
232840	Write in Exponential Form	(3)^4*(3)^3	${(3)}^{4} \cdot {(3)}^{3}$
232841	Find the Holes in the Graph	(x+10)/(2x^2+38x+180)	$\frac{x + 10}{2 x^{2} + 38 x + 180}$
232842	Simplify the Radical Expression	square root of 20+ square root of 48-3 square root of 125	$\sqrt{20} + \sqrt{48} - 3 \sqrt{125}$
232843	Evaluate	3/8*1 5/7	$\frac{3}{8} \cdot 1 \frac{5}{7}$
232844	Solve for n	n=-3+ square root of n+23	$n = - 3 + \sqrt{n + 23}$
232845	Solve the Rational Equation for v	11=2+ square root of 90-v	$11 = 2 + \sqrt{90 - v}$
232846	Simplify	(9x)/(x^2-25)(x^2+5x)/(2x-4)(x^2+3x-10)/(3x^4)	$\frac{9 x}{x^{2} - 25} \cdot \frac{x^{2} + 5 x}{2 x - 4} \cdot \frac{x^{2} + 3 x - 10}{3 x^{4}}$
232847	Solve the System of Equations	3x-2y=0 x-y=-1	$3 x - 2 y = 0$ $x - y = - 1$
232848	Solve for x	-7x-3=2-7x-5	$- 7 x - 3 = 2 - 7 x - 5$
232849	Evaluate Using the Given Value	Evaluate a-b if a=22 and b=5	Evaluate $a - b$ if $a = 22$ and $b = 5$
232850	Simplify	2(5a-4a)+6a	$2 (5 a - 4 a) + 6 a$
232851	Solve for x	square root of 7x+5 = square root of 9x	$\sqrt{7 x + 5} = \sqrt{9 x}$
232852	Solve for x	x+2x+4x+5x+6x+8x+9x+10x=360	$x + 2 x + 4 x + 5 x + 6 x + 8 x + 9 x + 10 x = 360$
232853	Solve by Factoring	x^2(1/x)+x(1- natural log of x)-x- natural log of x = natural log of x	$x^{2} (\frac{1}{x}) + x (1 - \ln (x)) - x - \ln (x) = \ln (x)$
232854	Factor	b(x)=x^3+x^2-9x-9	$b (x) = x^{3} + x^{2} - 9 x - 9$
232855	Simplify	3 square root of 8/512	$3 \sqrt{\frac{8}{512}}$
232856	Solve for d	6d^(2/3)-11d^(1/3)-2=0	$6 d^{\frac{2}{3}} - 11 d^{\frac{1}{3}} - 2 = 0$
232857	Solve Using the Square Root Property	(x-14)^2+13=12	${(x - 14)}^{2} + 13 = 12$
232858	Simplify	(6x^(1/m))(2x^(1/2))	$(6 x^{\frac{1}{m}}) (2 x^{\frac{1}{2}})$
232859	Solve for x	(4x+12)/2=3x-5	$\frac{4 x + 12}{2} = 3 x - 5$
232860	Evaluate	-( square root of 2)^2-2 square root of 2+3	$- {(\sqrt{2})}^{2} - 2 \sqrt{2} + 3$
232861	Find the LCM	15 and 18	$15$ and $18$
232862	Find the Domain and Range	2-\|x-1\|	$2 - \| x - 1 \|$
232863	Simplify	(2x+3)x(4x+1)	$(2 x + 3) \cdot x \cdot (4 x + 1)$
232864	Find the Inverse	7(x-3)^(1/5)	$7 {(x - 3)}^{\frac{1}{5}}$
232865	Evaluate	6-(3x-2i)^2	$6 - {(3 x - 2 i)}^{2}$
232866	Simplify	( square root of a^3)/( square root of a)	$\frac{\sqrt{a^{3}}}{\sqrt{a}}$
232867	Multiply	(x^2-x-6)/(2x^2+x-6)*(2x^2+5x-12)/(x^2-9)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6} \cdot \frac{2 x^{2} + 5 x - 12}{x^{2} - 9}$
232868	Solve for x	-7/6-5/(x-1)=-3/(x-1)	$- \frac{7}{6} - \frac{5}{x - 1} = - \frac{3}{x - 1}$
232869	Simplify the Radical Expression	-3 square root of 5* square root of 20	$- 3 \sqrt{5} \cdot \sqrt{20}$
232870	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 $\frac{4}{5}$ ?
232871	Solve for x	(x+3)/((x-4)^2(x^2-4))<=0	$\frac{x + 3}{{(x - 4)}^{2} (x^{2} - 4)} \leq 0$
232872	Simplify	1/2 square root of 48+2 square root of 27-4 square root of 12	$\frac{1}{2} \sqrt{48} + 2 \sqrt{27} - 4 \sqrt{12}$
232873	Find the Complex Conjugate	i+6i	$i + 6 i$
232874	Simplify	(x^2)/((x-y)^2)-(x+y)/(2x-2y)	$\frac{x^{2}}{{(x - y)}^{2}} - \frac{(x + y)}{2 x - 2 y}$
232875	Evaluate	(3x-1)/(9x-5)=(x+1)/(3x+1)	$\frac{3 x - 1}{9 x - 5} = \frac{x + 1}{3 x + 1}$
232876	Solve the Inequality for y	9y+5(y+3)<4y-35	$9 y + 5 (y + 3) < 4 y - 35$
232877	Find the Exact Value	cos((3pi)/4)cos((5pi)/12)-sin((3pi)/4)sin((5pi)/12)	$\cos (\frac{3 π}{4}) \cos (\frac{5 π}{12}) - \sin (\frac{3 π}{4}) \sin (\frac{5 π}{12})$
232878	Evaluate	cos(pi/2-x)sec(x)	$\cos (\frac{π}{2} - x) \sec (x)$
232879	Simplify	(xy-x^2y)(2x-3xy+y)	$(x y - x^{2} y) (2 x - 3 x y + y)$
232880	Evaluate	20% of 95	$20 %$ of $95$
232881	Solve for x	square root of (2x-4)/8=2	$\sqrt{\frac{2 x - 4}{8}} = 2$
232882	Evaluate	16% of 50	$16 %$ of $50$
232883	Divide Using Long Polynomial Division	(3x^3-5x^2-4x-8)÷(2x^2+x)	$(3 x^{3} - 5 x^{2} - 4 x - 8) \div (2 x^{2} + x)$
232884	Solve for x	3^(2+x)=27	$3^{2 + x} = 27$
232885	Solve for x	fourth root of 1/3x-8=2	$\sqrt[4]{\frac{1}{3} x - 8} = 2$
232886	Find the Roots (Zeros)	f(x)=x(x+3)(x-1)(2x+1)	$f (x) = x (x + 3) (x - 1) (2 x + 1)$
232887	Evaluate	(1-tan(x))^2=sec(x)^2-2tan(x)	${(1 - \tan (x))}^{2} = \sec^{2} (x) - 2 \tan (x)$
232888	Solve the System of Equations	y=-3x 4x+y=2	$y = - 3 x$ $4 x + y = 2$
232889	Evaluate	log of 1/2*16	$\log (\frac{1}{2} \cdot 16)$
232890	Find the Exact Value	(4/5)÷2	$\frac{4}{5} \div 2$
232891	Simplify	square root of (a^2b)/(c^7d^4)	$\sqrt{\frac{a^{2} b}{c^{7} d^{4}}}$
232892	Simplify	(rs^35)/(s^35)	$\frac{r s^{35}}{s^{35}}$
232893	Simplify	(1+x)(1-x)(1+x^2)	$(1 + x) (1 - x) (1 + x^{2})$
232894	Evaluate	6/(x^2-9)-1/(x-3)=1	$\frac{6}{x^{2} - 9} - \frac{1}{x - 3} = 1$
232895	Find the Distance Between Two Points	(-6,0) and (-3,-4)	$(- 6, 0)$ and $(- 3, - 4)$
232896	Evaluate Using the Given Value	Find P(theta) if theta=510 degrees	Find $P (θ)$ if $θ = 510 °$
232897	Solve Using the Quadratic Formula	3x^2+5x+2 1/12	$3 x^{2} + 5 x + 2 \frac{1}{12}$
232898	Rationalize the Denominator	( square root of a+3)/(6- square root of a+3)	$\frac{\sqrt{a + 3}}{6 - \sqrt{a + 3}}$
232899	Evaluate	log of 1/3*27	$\log (\frac{1}{3} \cdot 27)$
232900	Simplify	(5xy^-1)/( square root of 25xy)	$\frac{5 x y^{- 1}}{\sqrt{25 x y}}$