Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195801	Solve for b	b+5<=9b-4	$b + 5 \leq 9 b - 4$
195802	Rationalize the Denominator	(6 square root of 3-1)/( square root of 2+ square root of 6)	$\frac{6 \sqrt{3} - 1}{\sqrt{2} + \sqrt{6}}$
195803	Evaluate	(-10x^2+9x)-(-6x+4)	$(- 10 x^{2} + 9 x) - (- 6 x + 4)$
195804	Solve the Inequality for x	x/(x-3)<4	$\frac{x}{x - 3} < 4$
195805	Evaluate	pi*pi/2	$π \cdot \frac{π}{2}$
195806	Evaluate	natural log of x-8+ natural log of x+1 = natural log of x-24	$\ln (x - 8) + \ln (x + 1) = \ln (x - 24)$
195807	Find the Exact Value	1/2+1/4+1/8	$\frac{1}{2} + \frac{1}{4} + \frac{1}{8}$
195808	Write the Fraction in Simplest Form	(sin(theta))/(1+sin(theta))-(sin(theta))/(1-sin(theta))	$\frac{\sin (θ)}{1 + \sin (θ)} - \frac{\sin (θ)}{1 - \sin (θ)}$
195809	Simplify	cube root of 6x^2y* cube root of 36xy^2	$\sqrt[3]{6 x^{2} y} \cdot \sqrt[3]{36 x y^{2}}$
195810	Graph	y<=2x+2 1/2x+y<7 y-3>=0	$y \leq 2 x + 2$ $\frac{1}{2} x + y < 7$ $y - 3 \geq 0$
195811	Solve the Inequality for x	(x+2)/x<4	$\frac{x + 2}{x} < 4$
195812	Evaluate	2sin(theta)-1=0	$2 \sin (θ) - 1 = 0$
195813	Solve for R	C/R=2pi	$\frac{C}{R} = 2 π$
195814	Solve for x	9x-3(4+x)=0	$9 x - 3 (4 + x) = 0$
195815	Solve for x	1+3/(x-5)=(2x)/(x^2-2x-15)	$1 + \frac{3}{x - 5} = \frac{2 x}{x^{2} - 2 x - 15}$
195816	Solve the System of Equations	y=x^2-16 y=x-4	$y = x^{2} - 16$ $y = x - 4$
195817	Graph	-5n-6n<=8-8n-n	$- 5 n - 6 n \leq 8 - 8 n - n$
195818	Solve by Addition/Elimination	-x+y=4 x+3y=4	$- x + y = 4$ $x + 3 y = 4$
195819	Graph	y=1/2cos(2/3x-pi/2)	$y = \frac{1}{2} \cos (\frac{2}{3} x - \frac{π}{2})$
195820	Simplify	square root of (36a^8)/(225a^2)	$\sqrt{\frac{36 a^{8}}{225 a^{2}}}$
195821	Solve for x	x+ square root of 25-x^2=7	$x + \sqrt{25 - x^{2}} = 7$
195822	Expand the Logarithmic Expression	- log of 1/x	$- \log (\frac{1}{x})$
195823	Simplify	3/(a+2)+4/(2-a)-6/(a^2-4)	$\frac{3}{a + 2} + \frac{4}{2 - a} - \frac{6}{a^{2} - 4}$
195824	Solve for k	6(5k-8)-20=11(2k-3)+3k	$6 (5 k - 8) - 20 = 11 (2 k - 3) + 3 k$
195825	Simplify	(x^2-x-6)/(x-3)*(x+9)/(x+2)	$\frac{x^{2} - x - 6}{x - 3} \cdot \frac{x + 9}{x + 2}$
195826	Multiply	(y^2-4y-45)/(7y+42)*(9y+54)/(-y^2-3y+108)	$\frac{y^{2} - 4 y - 45}{7 y + 42} \cdot \frac{9 y + 54}{- y^{2} - 3 y + 108}$
195827	Solve for x	log base 3 of (x-1)^2>2	$\log_{3} ({(x - 1)}^{2}) > 2$
195828	Solve for x	7 1/4x-x=9 3/8	$7 \frac{1}{4} x - x = 9 \frac{3}{8}$
195829	Find the First Term	a_n=n-1	$a_{n} = n - 1$
195830	Solve for z	A=x+3+z	$A = x + 3 + z$
195831	Solve for x	-3x+3(4/3x+1)+1/4=6	$- 3 x + 3 (\frac{4}{3} x + 1) + \frac{1}{4} = 6$
195832	Graph	2x^2+x	$2 x^{2} + x$
195833	Graph	f(x)=\|-x\|^(1/3)	$f (x) = {\| - x \|}^{\frac{1}{3}}$
195834	Solve for x	5x+3-2x=2(x+1)	$5 x + 3 - 2 x = 2 (x + 1)$
195835	Graph Using a Table of Values	g(x)=2^(-x)	$g (x) = 2^{- x}$
195836	Factor	2(x-2y)^2-4x(x-2y)	$2 {(x - 2 y)}^{2} - 4 x (x - 2 y)$
195837	Evaluate	(sec(x))/(csc(x))	$\frac{\sec (x)}{\csc (x)}$
195838	Solve for x	(x-2)-2(x-1)=x+1-(x-6)	$(x - 2) - 2 (x - 1) = x + 1 - (x - 6)$
195839	Divide	(5/2)/2	$\frac{\frac{5}{2}}{2}$
195840	Write in Standard Form	2+3x+4x^2+3x^3	$2 + 3 x + 4 x^{2} + 3 x^{3}$
195841	Solve for x	\|x/3-1\|=x/6+2	$\| \frac{x}{3} - 1 \| = \frac{x}{6} + 2$
195842	Solve for c	-15<=-3c	$- 15 \leq - 3 c$
195843	Divide	((2r)/(r+6))÷((2r)/(7r+42))	$\frac{2 r}{r + 6} \div \frac{2 r}{7 r + 42}$
195844	Write the Fraction in Simplest Form	(1/3)^3	${(\frac{1}{3})}^{3}$
195845	Rationalize the Denominator	(10- square root of 18)/( square root of 2)	$\frac{10 - \sqrt{18}}{\sqrt{2}}$
195846	Factor	(a^3-b^3)	$(a^{3} - b^{3})$
195847	Simplify	x+3xy-6x-2x+8xy+y-2xy	$x + 3 x y - 6 x - 2 x + 8 x y + y - 2 x y$
195848	Divide	12÷1 1/2	$12 \div 1 \frac{1}{2}$
195849	Solve for x	1/5 cube root of 3x+10=8	$\frac{1}{5} \sqrt[3]{3 x} + 10 = 8$
195850	Solve for w	7w-(2+w)=2(3w-1)	$7 w - (2 + w) = 2 (3 w - 1)$
195851	Find the x and y Intercepts	P(x)=-x^2+2x	$P (x) = - x^{2} + 2 x$
195852	Graph	f(x)=3*1^x	$f (x) = 3 \cdot 1^{x}$
195853	Evaluate	2pi*pi/2	$2 π \cdot \frac{π}{2}$
195854	Solve for y	y = square root of -9-2	$y = \sqrt{- 9 - 2}$
195855	Find the Discriminant	r^2-r=0	$r^{2} - r = 0$
195856	Combine Like Terms	(3x^2-7x)-(4x^2+6x)	$(3 x^{2} - 7 x) - (4 x^{2} + 6 x)$
195857	Solve the System of Equations	y=-2x+14 3x-4z=2 3x-y=16	$y = - 2 x + 14$ $3 x - 4 z = 2$ $3 x - y = 16$
195858	Solve the Inequality for y	7+9y<19-3y	$7 + 9 y < 19 - 3 y$
195859	Simplify	-1/(- square root of 3)	$\frac{- 1}{- \sqrt{3}}$
195860	Simplify	(a+b)/c+c/(a+b)	$\frac{a + b}{c} + \frac{c}{a + b}$
195861	Solve for y	(3y-9)^2+7=43	${(3 y - 9)}^{2} + 7 = 43$
195862	Simplify	(8x)/(x^2-1)-2/(x-1)	$\frac{8 x}{x^{2} - 1} - \frac{2}{x - 1}$
195863	Find the Domain and Range	y=60-8x	$y = 60 - 8 x$
195864	Simplify	2h^3g+3(hg^3)+7h^2g^2+5h^3g+2(hg^3)	$2 h^{3} g + 3 h g^{3} + 7 h^{2} g^{2} + 5 h^{3} g + 2 h g^{3}$
195865	Graph	f(x)=(1-x)^2-4	$f (x) = {(1 - x)}^{2} - 4$
195866	Solve by Factoring	x^2=x	$x^{2} = x$
195867	Solve for k	10-10\|-8k+4\|=10	$10 - 10 \| - 8 k + 4 \| = 10$
195868	Solve for x	m=(x+y)/n	$m = \frac{x + y}{n}$
195869	Solve for θ	2sin(3theta)-1=0	$2 \sin (3 θ) - 1 = 0$
195870	Solve the Inequality for x	3x<=20-2x^2	$3 x \leq 20 - 2 x^{2}$
195871	Simplify	(5(x-3)(2x+1))/(10(x-3)^2)	$\frac{5 (x - 3) (2 x + 1)}{10 {(x - 3)}^{2}}$
195872	Graph	y< = square root of x-4	$y \leq \sqrt{x - 4}$
195873	Graph	f(x)=2+ square root of x	$f (x) = 2 + \sqrt{x}$
195874	Write in Slope-Intercept Form	2x-y<=5	$2 x - y \leq 5$
195875	Divide	((10rs^3)/(2s^4))÷((2s^4)/(10r^2s^2))	$\frac{10 r s^{3}}{2 s^{4}} \div \frac{2 s^{4}}{10 r^{2} s^{2}}$
195876	Solve for x	(x+yi)-(-8+11i)=5+9i	$(x + y i) - (- 8 + 11 i) = 5 + 9 i$
195877	Multiply	5/(7x^2)*(9x^3)/6	$\frac{5}{7 x^{2}} \cdot \frac{9 x^{3}}{6}$
195878	Divide	(6x^2)/x	$\frac{6 x^{2}}{x}$
195879	Solve the Rational Equation for x	(x-4)/(x+5)<=0	$\frac{x - 4}{x + 5} \leq 0$
195880	Find the Domain and Range	f(x)=3- square root of 6-2x	$f (x) = 3 - \sqrt{6 - 2 x}$
195881	Graph	f(x)=(3x^2-3x-60)/(h(x))	$f (x) = \frac{3 x^{2} - 3 x - 60}{h (x)}$
195882	Factor by Grouping	2mx^4+3nx^4+10m+15n	$2 m x^{4} + 3 n x^{4} + 10 m + 15 n$
195883	Multiply	4x cube root of 4x^2(2 cube root of 32x^2-x cube root of 2x)	$4 x \sqrt[3]{4 x^{2}} (2 \sqrt[3]{32 x^{2}} - x \sqrt[3]{2 x})$
195884	Simplify	(tan(pi/2-x)csc(x))/(csc(x)^2)	$\frac{\tan (\frac{π}{2} - x) \csc (x)}{\csc^{2} (x)}$
195885	Solve the Inequality for x	(x^2+x-6)/x>=0	$\frac{x^{2} + x - 6}{x} \geq 0$
195886	Simplify the Radical Expression	fifth root of 13^3	$\sqrt[5]{13^{3}}$
195887	Evaluate Using the Given Value	c/2-3+6/d when c=14 and d=3	$\frac{c}{2} - 3 + \frac{6}{d}$ when $c = 14$ and $d = 3$
195888	Solve the System of Equations	-a+4b+2c=-8 3a+b-4c=9 b=-1	$- a + 4 b + 2 c = - 8$ $3 a + b - 4 c = 9$ $b = - 1$
195889	Evaluate	-1/infinity	$\frac{- 1}{\infty}$
195890	Find the Roots (Zeros)	f(x)=(x^2+6)^2	$f (x) = {(x^{2} + 6)}^{2}$
195891	Solve for s	49s-24s=50	$49 s - 24 s = 50$
195892	Write in Standard Form	f(x)=3x^2+6x	$f (x) = 3 x^{2} + 6 x$
195893	Solve the System of Equations	y=x+5 x^2+y^2=97	$y = x + 5$ $x^{2} + y^{2} = 97$
195894	Find All Complex Solutions	2cos(2theta)-1=0	$2 \cos (2 θ) - 1 = 0$
195895	Solve for c	10b=5( square root of c+2)	$10 b = 5 (\sqrt{c} + 2)$
195896	Find the Axis of Symmetry	f(x)=-2x^2	$f (x) = - 2 x^{2}$
195897	Find the LCD	1/(4x+20) and 7/(8x)	$\frac{1}{4 x + 20}$ and $\frac{7}{8 x}$
195898	Simplify	((9+4x)+21)/5	$\frac{(9 + 4 x) + 21}{5}$
195899	Simplify	(-4-i)+(-1+7i)+(6i)	$(- 4 - i) + (- 1 + 7 i) + (6 i)$
195900	Find the Function	f(x)=\|-2x-3\|	$f (x) = \| - 2 x - 3 \|$