Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179901	Solve for x	2/3(1/2x+12)=1/2(1/3x+14)-3 ?	$\frac{2}{3} (\frac{1}{2} x + 12) = \frac{1}{2} (\frac{1}{3} x + 14) - 3$ ?
179902	Graph	y<=x y>=2-x	$y \leq x$ $y \geq 2 - x$
179903	Solve the Inequality for x	3x+2<2x-4	$3 x + 2 < 2 x - 4$
179904	Simplify	(x^2-49)/(6x-42)*(6x^2-294)/(x^2(x+7)^2)	$\frac{x^{2} - 49}{6 x - 42} \cdot \frac{6 x^{2} - 294}{x^{2} {(x + 7)}^{2}}$
179905	Find the Product	(-5a^2)^3*a^5	${(- 5 a^{2})}^{3} \cdot a^{5}$
179906	Factor	4-4(1-a)+(1-a)^2	$4 - 4 (1 - a) + {(1 - a)}^{2}$
179907	Evaluate	2((x-7)/2)+7	$2 (\frac{x - 7}{2}) + 7$
179908	Solve for c	((x^5yz^4)^3)/(x^3yz)=x^ay^bz^c	$\frac{{(x^{5} y z^{4})}^{3}}{x^{3} y z} = x^{a} y^{b} z^{c}$
179909	Graph	f(x)<-x^2+12x-29	$f (x) < - x^{2} + 12 x - 29$
179910	Solve the System of Inequalities	x+8<3 or -8x<-40	$x + 8 < 3$ or $- 8 x < - 40$
179911	Solve for h	S=2pirh+2pir^2 ; for h	$S = 2 π r h + 2 π r^{2}$ ; for $h$
179912	Solve the Absolute Value Inequality for x	\|x-1\|=2	$\| x - 1 \| = 2$
179913	Solve the Inequality for x	2(8x-4)<2x+5	$2 (8 x - 4) < 2 x + 5$
179914	Find the Product	(p+4)^2	${(p + 4)}^{2}$
179915	Simplify	log base 4 of 4^(3x)	$\log_{4} (4^{3 x})$
179916	Solve for x	log base x of 5x-6=2	$\log_{x} (5 x - 6) = 2$
179917	Solve for θ	cos(2theta)+sin(theta)^2=0	$\cos (2 θ) + \sin^{2} (θ) = 0$
179918	Convert to a Simplified Fraction	3/12	$\frac{3}{12}$
179919	Find the Exact Value	(3 square root of 2)^2	${(3 \sqrt{2})}^{2}$
179920	Simplify	square root of 15*3 square root of 5	$\sqrt{15} \cdot 3 \sqrt{5}$
179921	Find the Function	f(x)=-5x+3	$f (x) = - 5 x + 3$
179922	Find the x and y Intercepts	f(x)=-1/2(x-5)^2-3	$f (x) = - \frac{1}{2} {(x - 5)}^{2} - 3$
179923	Simplify	x(2x^(-1/4))^4	$x {(2 x^{- \frac{1}{4}})}^{4}$
179924	Graph	F(x)=(x-2)^3-1	$F (x) = {(x - 2)}^{3} - 1$
179925	Find the Midpoint	(8,-3) and (2,-10)	$(8, - 3)$ and $(2, - 10)$
179926	Find the Exact Value	4^-5	$4^{- 5}$
179927	Solve the Inequality for t	-5t>=70	$- 5 t \geq 70$
179928	Solve for x	\|x-5\|>=2	$\| x - 5 \| \geq 2$
179929	Solve the Inequality for x	-15<2x-3<=13	$- 15 < 2 x - 3 \leq 13$
179930	Write in Standard Form	4x^2-3=-4+7x	$4 x^{2} - 3 = - 4 + 7 x$
179931	Find the Midpoint	(4,9) and (-4,2)	$(4, 9)$ and $(- 4, 2)$
179932	Solve for x	9x=1/2(12x-2)	$9 x = \frac{1}{2} (12 x - 2)$
179933	Find All Complex Solutions	2sin(x)+cos(2x)=1	$2 \sin (x) + \cos (2 x) = 1$
179934	Solve for L	P=2L+2W ; for L	$P = 2 L + 2 W$ ; for $L$
179935	Expand the Logarithmic Expression	log base 4 of (x/z)/w	$\log_{4} (\frac{\frac{x}{z}}{w})$
179936	Solve the Inequality for x	x+4<6	$x + 4 < 6$
179937	Graph Using a Table of Values	y=2x^2-2	$y = 2 x^{2} - 2$
179938	Solve for a	x^(1/4) fourth root of x^3=x^a	$x^{\frac{1}{4}} \sqrt[4]{x^{3}} = x^{a}$
179939	Evaluate	log base 3 of x=5	$\log_{3} (x) = 5$
179940	Find the Perfect Square Trinomial	x^2-36	$x^{2} - 36$
179941	Evaluate	4/3pi(1.5)^3	$\frac{4}{3} π {(1.5)}^{3}$
179942	Solve for x	11/(2x)=(11x)/2	$\frac{11}{2 x} = \frac{11 x}{2}$
179943	Solve for R	A=pi(R^2-r^2)	$A = π (R^{2} - r^{2})$
179944	Factor	-8p^4qr^2-4p^3q^3r^2	$- 8 p^{4} q r^{2} - 4 p^{3} q^{3} r^{2}$
179945	Describe the Transformation	f(x)=x+3	$f (x) = x + 3$
179946	Simplify the Radical Expression	square root of 2/3	$\sqrt{\frac{2}{3}}$
179947	Divide	1 1/3÷2	$1 \frac{1}{3} \div 2$
179948	Solve for x	8/5x+2/3=1/2-1/5x	$\frac{8}{5} x + \frac{2}{3} = \frac{1}{2} - \frac{1}{5} x$
179949	Find the Function	g(x)=x^2-3	$g (x) = x^{2} - 3$
179950	Find the Slope and y-intercept	y+4=0	$y + 4 = 0$
179951	Divide	5 1/4÷(3/4)	$5 \frac{1}{4} \div \frac{3}{4}$
179952	Simplify	((x^2)/4-x/2)/(1/2-x/4)	$\frac{\frac{x^{2}}{4} - \frac{x}{2}}{\frac{1}{2} - \frac{x}{4}}$
179953	Convert to a Decimal	-3 2/5	$- 3 \frac{2}{5}$
179954	Evaluate	(x^6)/(x^8)	$\frac{x^{6}}{x^{8}}$
179955	Convert to Interval Notation	3x+12-6x<=-9	$3 x + 12 - 6 x \leq - 9$
179956	Solve the Inequality for x	-8x<16	$- 8 x < 16$
179957	Solve the Inequality for x	4x^2+8x-21>=0	$4 x^{2} + 8 x - 21 \geq 0$
179958	Graph	y>=3x-5 y<-x-1	$y \geq 3 x - 5$ $y < - x - 1$
179959	Graph	y=-2 log base 2 of 4-x	$y = - 2 \log_{2} (4 - x)$
179960	Solve for x	\|x-2\|>=1	$\| x - 2 \| \geq 1$
179961	Graph	y-2=1/3(x-3)	$y - 2 = \frac{1}{3} (x - 3)$
179962	Simplify	(7^-2)/(4^2)	$\frac{7^{- 2}}{4^{2}}$
179963	Find the Exact Value	cos(pi)^2	$\cos^{2} (π)$
179964	Divide	2 1/2÷3 5/8	$2 \frac{1}{2} \div 3 \frac{5}{8}$
179965	Solve for θ	cos(theta)=1/3	$\cos (θ) = \frac{1}{3}$
179966	Solve for x	3x+6(x-1)=12x+8-3x-14	$3 x + 6 (x - 1) = 12 x + 8 - 3 x - 14$
179967	Solve for c	(2c-1)/3=(c+2)/4	$\frac{2 c - 1}{3} = \frac{c + 2}{4}$
179968	Solve Using the Quadratic Formula	f(x)=x^2-6x+9	$f (x) = x^{2} - 6 x + 9$
179969	Find the Equation of the Circle	Center (0,0) , r=8	Center $(0, 0)$ , $r = 8$
179970	Solve for a	\|a\|=0	$\| a \| = 0$
179971	Evaluate	log base 3 of x+7+ log base 3 of x+5=1	$\log_{3} (x + 7) + \log_{3} (x + 5) = 1$
179972	Solve for z	\|4-z\|-10=1	$\| 4 - z \| - 10 = 1$
179973	Graph	y>-1/6x-6 y<1/2x-2	$y > - \frac{1}{6} x - 6$ $y < \frac{1}{2} x - 2$
179974	Write in Standard Form	square root of -18	$\sqrt{- 18}$
179975	Solve the System of Equations	-15x+3y=-45 2/3x-2/15y=2	$- 15 x + 3 y = - 45$ $\frac{2}{3} x - \frac{2}{15} y = 2$
179976	Simplify	x/(3/x+1/x)	$\frac{x}{\frac{3}{x} + \frac{1}{x}}$
179977	Graph	0<=x	$0 \leq x$
179978	Solve for x	(x^2-36)/(x^2+5x-6)=2	$\frac{x^{2} - 36}{x^{2} + 5 x - 6} = 2$
179979	Find the Exact Value	f^-1(1)	$f^{- 1} (1)$
179980	Solve the Inequality for z	z-4.7>=-1.6	$z - 4.7 \geq - 1.6$
179981	Solve for x	(x+2)/(x^2-25)+1=(8x)/(2x-10)	$\frac{x + 2}{x^{2} - 25} + 1 = \frac{8 x}{2 x - 10}$
179982	Find the Function	f(x)=8x-3	$f (x) = 8 x - 3$
179983	Find the x and y Intercepts	R(x)=7/(x^2-36)	$R (x) = \frac{7}{x^{2} - 36}$
179984	Solve by Substitution	x-5=y -3x-y=-19	$x - 5 = y$ $- 3 x - y = - 19$
179985	Solve for m	3e^(3m-2)-4=11	$3 e^{3 m - 2} - 4 = 11$
179986	Find the Exact Value	1/3+1/6	$\frac{1}{3} + \frac{1}{6}$
179987	Divide	-2÷(-5)	$- 2 \div (- 5)$
179988	Evaluate	(-x)/((-x)^2+1)	$\frac{(- x)}{{(- x)}^{2} + 1}$
179989	Solve for x	x^2=25/4	$x^{2} = \frac{25}{4}$
179990	Simplify	(4x^2y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y)	$(4 x^{2} y^{3} + 2 x y^{2} - 2 y) - (- 7 x^{2} y^{3} + 6 x y^{2} - 2 y)$
179991	Solve for x	x-1/(x-3)=3/(x-3)	$x - \frac{1}{x - 3} = \frac{3}{x - 3}$
179992	Solve the System of Equations	y=4x+25 y=9x	$y = 4 x + 25$ $y = 9 x$
179993	Simplify	(x^2-x-6)/(4x^3)*(2x^2+2x)/(x^2+5x+6)	$\frac{x^{2} - x - 6}{4 x^{3}} \cdot \frac{2 x^{2} + 2 x}{x^{2} + 5 x + 6}$
179994	Simplify	0.3y^2*(-1/3x^4y^6)	$0.3 y^{2} \cdot (- \frac{1}{3} x^{4} y^{6})$
179995	Convert to Interval Notation	x<=-1 or x>=4	$x \leq - 1$ or $x \geq 4$
179996	Solve Using the Quadratic Formula	1/3d^2+1/2d=-1/12	$\frac{1}{3} d^{2} + \frac{1}{2} d = - \frac{1}{12}$
179997	Divide	(7/10)÷(1/8)	$\frac{7}{10} \div \frac{1}{8}$
179998	Solve for x	x/(x-1)-1/(x^2-x)=-1	$\frac{x}{x - 1} - \frac{1}{x^{2} - x} = - 1$
179999	Write in Standard Form	(x-1)(x+2)=3	$(x - 1) (x + 2) = 3$
180000	Simplify	cube root of (27t^9)/729	$\sqrt[3]{\frac{27 t^{9}}{729}}$