Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171601	Solve for θ	cos(theta)^2=1/2	$\cos^{2} (θ) = \frac{1}{2}$
171602	Solve the Inequality for x	-9<-1/5x	$- 9 < - \frac{1}{5} x$
171603	Solve for a	f=m*a	$f = m \cdot a$
171604	Simplify	(12z^-6)/(4(b^-4z^-4)^-2)	$\frac{12 z^{- 6}}{4 {(b^{- 4} z^{- 4})}^{- 2}}$
171605	Find All Complex Solutions	3^x=27	$3^{x} = 27$
171606	Simplify	(-20v)/(-4(v^-1)^3)	$\frac{- 20 v}{- 4 {(v^{- 1})}^{3}}$
171607	Evaluate	12/4+2*1/2-3	$\frac{12}{4} + 2 \cdot \frac{1}{2} - 3$
171608	Solve for w	3w-5>2w+w-7	$3 w - 5 > 2 w + w - 7$
171609	Find the Domain and Range	y=1/2cos(2x)-1	$y = \frac{1}{2} \cos (2 x) - 1$
171610	Simplify	2/((x+h)^2-3)-2/(x^2-3)	$\frac{2}{{(x + h)}^{2} - 3} - \frac{2}{x^{2} - 3}$
171611	Simplify	(2x)/3(12x+18)	$\frac{2 x}{3} (12 x + 18)$
171612	Graph	F(x)=3(x+3)^2	$F (x) = 3 {(x + 3)}^{2}$
171613	Find the Domain and Range	f(x)=-3- square root of 4x-12	$f (x) = - 3 - \sqrt{4 x - 12}$
171614	Solve the Inequality for x	8/(6-x)>=x	$\frac{8}{6 - x} \geq x$
171615	Simplify	8x^2 square root of 50x^3y^5	$8 x^{2} \sqrt{50 x^{3} y^{5}}$
171616	Solve for x	(3x-1)/(9x-5)=(x+1)/(3x+1)	$\frac{3 x - 1}{9 x - 5} = \frac{x + 1}{3 x + 1}$
171617	Find the Axis of Symmetry	y=(x+4)^2	$y = {(x + 4)}^{2}$
171618	Factor	4x^(2n)-1/9	$4 x^{2 n} - \frac{1}{9}$
171619	Simplify	((4w^-1c^4)^-5)/(5c^-3)	$\frac{{(4 w^{- 1} c^{4})}^{- 5}}{5 c^{- 3}}$
171620	Divide	(4x)/2	$\frac{4 x}{2}$
171621	Solve for a	s=n(a+1)	$s = n (a + 1)$
171622	Evaluate	64^(1/2)*10^-2	$64^{\frac{1}{2}} \cdot 10^{- 2}$
171623	Factor	2-x^2-x	$2 - x^{2} - x$
171624	Solve the Inequality for x	(x^2-4)(x+13)(x-5)^2<=0	$(x^{2} - 4) (x + 13) {(x - 5)}^{2} \leq 0$
171625	Factor	-34x^5y^4z^3+3xz^4	$- 34 x^{5} y^{4} z^{3} + 3 x z^{4}$
171626	Simplify	fourth root of 27x* fourth root of 3x^3	$\sqrt[4]{27 x} \cdot \sqrt[4]{3 x^{3}}$
171627	Solve the Inequality for x	(x-6)/4<=2	$\frac{x - 6}{4} \leq 2$
171628	Write in Exponential Form	sixth root of x^2	$\sqrt[6]{x^{2}}$
171629	Evaluate	4+8÷2*(6-3)	$4 + 8 \div 2 \cdot (6 - 3)$
171630	Factor	12m^2n+24m^3*3n^2-36m^4n^3	$12 m^{2} n + 24 m^{3} \cdot 3 n^{2} - 36 m^{4} n^{3}$
171631	Subtract	x/5-1/4	$\frac{x}{5} - \frac{1}{4}$
171632	Find the Exact Value	(1/4)^-2	${(\frac{1}{4})}^{- 2}$
171633	Solve the System of Inequalities	1<=x-7 or x-7<4	$1 \leq x - 7$ or $x - 7 < 4$
171634	Evaluate	fifth root of -16*2^(1/5)	$\sqrt[5]{- 16} \cdot 2^{\frac{1}{5}}$
171635	Solve for y	x+5y-10=2x	$x + 5 y - 10 = 2 x$
171636	Solve for n	4(8-4n)=2(n-40)+4	$4 (8 - 4 n) = 2 (n - 40) + 4$
171637	Solve the Inequality for x	9-x^2>0	$9 - x^{2} > 0$
171638	Solve for x	-0.4\|x+5.75\|+4.3=8.7	$- 0.4 \| x + 5.75 \| + 4.3 = 8.7$
171639	Solve for z	z-10=\|7z\|-16	$z - 10 = \| 7 z \| - 16$
171640	Solve the Inequality for x	square root of x<3	$\sqrt{x} < 3$
171641	Solve for y	4y^3-7y^2+28=16y	$4 y^{3} - 7 y^{2} + 28 = 16 y$
171642	Solve by Substitution	y=2x y=5x-30	$y = 2 x$ $y = 5 x - 30$
171643	Simplify	(6a-4)/(7a-5)-3	$\frac{6 a - 4}{7 a - 5} - 3$
171644	Divide	(8x^2y-20x^3)/(4x^2)	$\frac{8 x^{2} y - 20 x^{3}}{4 x^{2}}$
171645	Solve for w	19=15w-4(3w-1)	$19 = 15 w - 4 (3 w - 1)$
171646	Simplify	(k^2-y^2)/(3k+3y)	$\frac{k^{2} - y^{2}}{3 k + 3 y}$
171647	Solve for x	\|x-4\|<=0	$\| x - 4 \| \leq 0$
171648	Solve for x	-13=5(1+4x)-2x	$- 13 = 5 (1 + 4 x) - 2 x$
171649	Multiply	-3 1/4(-2 3/5)	$- 3 \frac{1}{4} (- 2 \frac{3}{5})$
171650	Simplify	(-3(v^-1)^5)/(2v^-1)	$\frac{- 3 {(v^{- 1})}^{5}}{2 v^{- 1}}$
171651	Graph	-6g+2>=20	$- 6 g + 2 \geq 20$
171652	Simplify	(2d)/(d/r_1+d/r_2)	$\frac{2 d}{\frac{d}{r_{1}} + \frac{d}{r_{2}}}$
171653	Solve the System of Equations	8x=12 2y+10=22	$8 x = 12$ $2 y + 10 = 22$
171654	Solve for x	2 square root of x+11-10=0	$2 \sqrt{x + 11} - 10 = 0$
171655	Solve for u	11=-9u	$11 = - 9 u$
171656	Evaluate	(-( square root of 3)/2)÷(1/2)	$- \frac{\sqrt{3}}{2} \div \frac{1}{2}$
171657	Simplify	(x+4)÷((x^2-6x-40)/(x^2+3x))	$(x + 4) \div \frac{x^{2} - 6 x - 40}{x^{2} + 3 x}$
171658	Solve for x	16-2x=-3x+6x+1	$16 - 2 x = - 3 x + 6 x + 1$
171659	Find the Quotient	(3x^4-4x^2+8x-1)÷(x-2)	$(3 x^{4} - 4 x^{2} + 8 x - 1) \div (x - 2)$
171660	Find the Holes in the Graph	f(x)=(x^2+2x-80)/(2x^2-16x)	$f (x) = \frac{x^{2} + 2 x - 80}{2 x^{2} - 16 x}$
171661	Solve the Inequality for x	((x-5)(2x+3))/((x-1)^2)<=0	$\frac{(x - 5) (2 x + 3)}{{(x - 1)}^{2}} \leq 0$
171662	Solve for r	33=12r-3(9-r)	$33 = 12 r - 3 (9 - r)$
171663	Solve the Inequality for x	5x<=-3x+8	$5 x \leq - 3 x + 8$
171664	Solve the System of Inequalities	22>=x+10>19	$22 \geq x + 10 > 19$
171665	Solve for x	x+2 1/2=(4x+3)/4-(2-3x)/8	$x + 2 \frac{1}{2} = \frac{4 x + 3}{4} - \frac{2 - 3 x}{8}$
171666	Solve for x	3=-3/2x+3	$3 = - \frac{3}{2} x + 3$
171667	Find the Function	g(x)=x^2	$g (x) = x^{2}$
171668	Solve the Inequality for x	4x^2<25	$4 x^{2} < 25$
171669	Solve for x	5kx+6=7kx for x	$5 k x + 6 = 7 k x$ for $x$
171670	Solve the Inequality for x	-3(x+1)<=6	$- 3 (x + 1) \leq 6$
171671	Divide	(2x^3)/(2x)	$\frac{2 x^{3}}{2 x}$
171672	Solve for x	7sec(x)-7=0	$7 \sec (x) - 7 = 0$
171673	Simplify	cot(x)cos(x)+csc(x)sin(x)^2	$\cot (x) \cos (x) + \csc (x) \sin^{2} (x)$
171674	Solve for x	2(5x+2)^2=48	$2 {(5 x + 2)}^{2} = 48$
171675	Solve Using the Quadratic Formula	5x(x-2)+7=0	$5 x (x - 2) + 7 = 0$
171676	Solve for x	kx+12=3kx for x	$k x + 12 = 3 k x$ for $x$
171677	Solve for y	c=kny ; for y	$c = k n y$ ; for $y$
171678	Find the Exact Value	2/( square root of 2)	$\frac{2}{\sqrt{2}}$
171679	Solve Using the Quadratic Formula	1/7x^2+7/19x=0	$\frac{1}{7} x^{2} + \frac{7}{19} x = 0$
171680	Solve for θ	sin(theta)+1=0	$\sin (θ) + 1 = 0$
171681	Solve the Inequality for x	\|x\|>7	$\| x \| > 7$
171682	Factor	-14y^2z^4+49xy^4z^7	$- 14 y^{2} z^{4} + 49 x y^{4} z^{7}$
171683	Solve the System of Equations	y=2x y=x^2-15	$y = 2 x$ $y = x^{2} - 15$
171684	Solve the System of Equations	2x+2y+6z=16 2x-y+4z=28 -5x-3y-z=-10	$2 x + 2 y + 6 z = 16$ $2 x - y + 4 z = 28$ $- 5 x - 3 y - z = - 10$
171685	Simplify	(10^2)^(1/2)	${(10^{2})}^{\frac{1}{2}}$
171686	Evaluate	64+3^3-4(6-2)^2	$64 + 3^{3} - 4 {(6 - 2)}^{2}$
171687	Multiply	(3x)/4*8/9	$\frac{3 x}{4} \cdot \frac{8}{9}$
171688	Find the Function	f(x)=x+8	$f (x) = x + 8$
171689	Simplify	(-5/x)^2	${(- \frac{5}{x})}^{2}$
171690	Solve for m	-3(2m+1)+7=-5	$- 3 (2 m + 1) + 7 = - 5$
171691	Find the Function	f(x)=-x^2	$f (x) = - x^{2}$
171692	Evaluate	cos(x)=( square root of 3)/2	$\cos (x) = \frac{\sqrt{3}}{2}$
171693	Simplify	(10p^-2y^5)/(-2(p^4y^2)^4)	$\frac{10 p^{- 2} y^{5}}{- 2 {(p^{4} y^{2})}^{4}}$
171694	Solve the Inequality for x	(-x)/(x-3)>=0	$\frac{- x}{x - 3} \geq 0$
171695	Simplify	(y+(y-3)/3)/(5/9+2/(3y))	$\frac{y + \frac{y - 3}{3}}{\frac{5}{9} + \frac{2}{3 y}}$
171696	Solve for x	3+3/2x+4=4x-5/2x	$3 + \frac{3}{2} x + 4 = 4 x - \frac{5}{2} x$
171697	Describe the Transformation	f(x)=-2x^2-3	$f (x) = - 2 x^{2} - 3$
171698	Solve for y	w=x^2-2yz	$w = x^{2} - 2 y z$
171699	Solve the System of Inequalities	18>=x+8>=11	$18 \geq x + 8 \geq 11$
171700	Solve the Inequality for b	2/7>b+5/7	$\frac{2}{7} > b + \frac{5}{7}$