Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171601	Simplify	(x^2+x-6)/(2-x)	$\frac{x^{2} + x - 6}{2 - x}$
171602	Solve for x	3(-x+(2x+1))=x-1	$3 (- x + (2 x + 1)) = x - 1$
171603	Subtract	(x^3-x^2+4)-(3x^3-2x^2+3)	$(x^{3} - x^{2} + 4) - (3 x^{3} - 2 x^{2} + 3)$
171604	Solve the Inequality for x	((x+7)(x-3))/((x-5)^2)>0	$\frac{(x + 7) (x - 3)}{{(x - 5)}^{2}} > 0$
171605	Factor	7gh^4-14gh^2	$7 g h^{4} - 14 g h^{2}$
171606	Solve the System of Equations	3x+7y=23 -3x-7y=-17	$3 x + 7 y = 23$ $- 3 x - 7 y = - 17$
171607	Factor	-28x^2y^2z^3+7yz	$- 28 x^{2} y^{2} z^{3} + 7 y z$
171608	Solve for Q	Q+(-10)=-1	$Q + (- 10) = - 1$
171609	Solve for y	3/4y-2=6-1/4y	$\frac{3}{4} y - 2 = 6 - \frac{1}{4} y$
171610	Solve for w	3(w+3)+w=2(W-1)+3	$3 (w + 3) + w = 2 (W - 1) + 3$
171611	Simplify	x^5x^-5x^2	$x^{5} \cdot x^{- 5} \cdot x^{2}$
171612	Solve for x	-2/5(x-10)=3(x+2)	$- \frac{2}{5} (x - 10) = 3 (x + 2)$
171613	Solve for k	310-(307)=5k	$310 - (30 \cdot 7) = 5 \cdot k$
171614	Evaluate	(2+(3+1)^2-6)/(2+(3-1)^2)	$\frac{2 + {(3 + 1)}^{2} - 6}{2 + {(3 - 1)}^{2}}$
171615	Simplify the Radical Expression	square root of -14	$\sqrt{- 14}$
171616	Solve for θ	cos(theta)^2=1/2	$\cos^{2} (θ) = \frac{1}{2}$
171617	Solve the Inequality for x	-9<-1/5x	$- 9 < - \frac{1}{5} x$
171618	Solve for a	f=m*a	$f = m \cdot a$
171619	Simplify	(12z^-6)/(4(b^-4z^-4)^-2)	$\frac{12 z^{- 6}}{4 {(b^{- 4} z^{- 4})}^{- 2}}$
171620	Find All Complex Solutions	3^x=27	$3^{x} = 27$
171621	Simplify	(-20v)/(-4(v^-1)^3)	$\frac{- 20 v}{- 4 {(v^{- 1})}^{3}}$
171622	Evaluate	12/4+2*1/2-3	$\frac{12}{4} + 2 \cdot \frac{1}{2} - 3$
171623	Solve for w	3w-5>2w+w-7	$3 w - 5 > 2 w + w - 7$
171624	Find the Domain and Range	y=1/2cos(2x)-1	$y = \frac{1}{2} \cos (2 x) - 1$
171625	Simplify	2/((x+h)^2-3)-2/(x^2-3)	$\frac{2}{{(x + h)}^{2} - 3} - \frac{2}{x^{2} - 3}$
171626	Simplify	(2x)/3(12x+18)	$\frac{2 x}{3} (12 x + 18)$
171627	Graph	F(x)=3(x+3)^2	$F (x) = 3 {(x + 3)}^{2}$
171628	Find the Domain and Range	f(x)=-3- square root of 4x-12	$f (x) = - 3 - \sqrt{4 x - 12}$
171629	Solve the Inequality for x	8/(6-x)>=x	$\frac{8}{6 - x} \geq x$
171630	Simplify	8x^2 square root of 50x^3y^5	$8 x^{2} \sqrt{50 x^{3} y^{5}}$
171631	Solve for x	(3x-1)/(9x-5)=(x+1)/(3x+1)	$\frac{3 x - 1}{9 x - 5} = \frac{x + 1}{3 x + 1}$
171632	Find the Axis of Symmetry	y=(x+4)^2	$y = {(x + 4)}^{2}$
171633	Factor	4x^(2n)-1/9	$4 x^{2 n} - \frac{1}{9}$
171634	Simplify	((4w^-1c^4)^-5)/(5c^-3)	$\frac{{(4 w^{- 1} c^{4})}^{- 5}}{5 c^{- 3}}$
171635	Divide	(4x)/2	$\frac{4 x}{2}$
171636	Solve for a	s=n(a+1)	$s = n (a + 1)$
171637	Evaluate	64^(1/2)*10^-2	$64^{\frac{1}{2}} \cdot 10^{- 2}$
171638	Factor	2-x^2-x	$2 - x^{2} - x$
171639	Solve the Inequality for x	(x^2-4)(x+13)(x-5)^2<=0	$(x^{2} - 4) (x + 13) {(x - 5)}^{2} \leq 0$
171640	Factor	-34x^5y^4z^3+3xz^4	$- 34 x^{5} y^{4} z^{3} + 3 x z^{4}$
171641	Simplify	fourth root of 27x* fourth root of 3x^3	$\sqrt[4]{27 x} \cdot \sqrt[4]{3 x^{3}}$
171642	Solve the Inequality for x	(x-6)/4<=2	$\frac{x - 6}{4} \leq 2$
171643	Write in Exponential Form	sixth root of x^2	$\sqrt[6]{x^{2}}$
171644	Evaluate	4+8÷2*(6-3)	$4 + 8 \div 2 \cdot (6 - 3)$
171645	Factor	12m^2n+24m^3*3n^2-36m^4n^3	$12 m^{2} n + 24 m^{3} \cdot 3 n^{2} - 36 m^{4} n^{3}$
171646	Subtract	x/5-1/4	$\frac{x}{5} - \frac{1}{4}$
171647	Find the Exact Value	(1/4)^-2	${(\frac{1}{4})}^{- 2}$
171648	Solve the System of Inequalities	1<=x-7 or x-7<4	$1 \leq x - 7$ or $x - 7 < 4$
171649	Evaluate	fifth root of -16*2^(1/5)	$\sqrt[5]{- 16} \cdot 2^{\frac{1}{5}}$
171650	Solve for y	x+5y-10=2x	$x + 5 y - 10 = 2 x$
171651	Solve for n	4(8-4n)=2(n-40)+4	$4 (8 - 4 n) = 2 (n - 40) + 4$
171652	Solve the Inequality for x	9-x^2>0	$9 - x^{2} > 0$
171653	Solve for x	-0.4\|x+5.75\|+4.3=8.7	$- 0.4 \| x + 5.75 \| + 4.3 = 8.7$
171654	Solve for z	z-10=\|7z\|-16	$z - 10 = \| 7 z \| - 16$
171655	Solve the Inequality for x	square root of x<3	$\sqrt{x} < 3$
171656	Solve for y	4y^3-7y^2+28=16y	$4 y^{3} - 7 y^{2} + 28 = 16 y$
171657	Solve by Substitution	y=2x y=5x-30	$y = 2 x$ $y = 5 x - 30$
171658	Simplify	(6a-4)/(7a-5)-3	$\frac{6 a - 4}{7 a - 5} - 3$
171659	Divide	(8x^2y-20x^3)/(4x^2)	$\frac{8 x^{2} y - 20 x^{3}}{4 x^{2}}$
171660	Solve for w	19=15w-4(3w-1)	$19 = 15 w - 4 (3 w - 1)$
171661	Simplify	(k^2-y^2)/(3k+3y)	$\frac{k^{2} - y^{2}}{3 k + 3 y}$
171662	Solve for x	\|x-4\|<=0	$\| x - 4 \| \leq 0$
171663	Solve for x	-13=5(1+4x)-2x	$- 13 = 5 (1 + 4 x) - 2 x$
171664	Multiply	-3 1/4(-2 3/5)	$- 3 \frac{1}{4} (- 2 \frac{3}{5})$
171665	Simplify	(-3(v^-1)^5)/(2v^-1)	$\frac{- 3 {(v^{- 1})}^{5}}{2 v^{- 1}}$
171666	Graph	-6g+2>=20	$- 6 g + 2 \geq 20$
171667	Simplify	(2d)/(d/r_1+d/r_2)	$\frac{2 d}{\frac{d}{r_{1}} + \frac{d}{r_{2}}}$
171668	Solve the System of Equations	8x=12 2y+10=22	$8 x = 12$ $2 y + 10 = 22$
171669	Solve for x	2 square root of x+11-10=0	$2 \sqrt{x + 11} - 10 = 0$
171670	Solve for u	11=-9u	$11 = - 9 u$
171671	Evaluate	(-( square root of 3)/2)÷(1/2)	$- \frac{\sqrt{3}}{2} \div \frac{1}{2}$
171672	Simplify	(x+4)÷((x^2-6x-40)/(x^2+3x))	$(x + 4) \div \frac{x^{2} - 6 x - 40}{x^{2} + 3 x}$
171673	Solve for x	16-2x=-3x+6x+1	$16 - 2 x = - 3 x + 6 x + 1$
171674	Find the Quotient	(3x^4-4x^2+8x-1)÷(x-2)	$(3 x^{4} - 4 x^{2} + 8 x - 1) \div (x - 2)$
171675	Find the Holes in the Graph	f(x)=(x^2+2x-80)/(2x^2-16x)	$f (x) = \frac{x^{2} + 2 x - 80}{2 x^{2} - 16 x}$
171676	Solve the Inequality for x	((x-5)(2x+3))/((x-1)^2)<=0	$\frac{(x - 5) (2 x + 3)}{{(x - 1)}^{2}} \leq 0$
171677	Solve for r	33=12r-3(9-r)	$33 = 12 r - 3 (9 - r)$
171678	Solve the Inequality for x	5x<=-3x+8	$5 x \leq - 3 x + 8$
171679	Solve the System of Inequalities	22>=x+10>19	$22 \geq x + 10 > 19$
171680	Solve for x	x+2 1/2=(4x+3)/4-(2-3x)/8	$x + 2 \frac{1}{2} = \frac{4 x + 3}{4} - \frac{2 - 3 x}{8}$
171681	Solve for x	3=-3/2x+3	$3 = - \frac{3}{2} x + 3$
171682	Find the Function	g(x)=x^2	$g (x) = x^{2}$
171683	Solve the Inequality for x	4x^2<25	$4 x^{2} < 25$
171684	Solve for x	5kx+6=7kx for x	$5 k x + 6 = 7 k x$ for $x$
171685	Solve the Inequality for x	-3(x+1)<=6	$- 3 (x + 1) \leq 6$
171686	Divide	(2x^3)/(2x)	$\frac{2 x^{3}}{2 x}$
171687	Solve for x	7sec(x)-7=0	$7 \sec (x) - 7 = 0$
171688	Simplify	cot(x)cos(x)+csc(x)sin(x)^2	$\cot (x) \cos (x) + \csc (x) \sin^{2} (x)$
171689	Solve for x	2(5x+2)^2=48	$2 {(5 x + 2)}^{2} = 48$
171690	Solve Using the Quadratic Formula	5x(x-2)+7=0	$5 x (x - 2) + 7 = 0$
171691	Solve for x	kx+12=3kx for x	$k x + 12 = 3 k x$ for $x$
171692	Solve for y	c=kny ; for y	$c = k n y$ ; for $y$
171693	Find the Exact Value	2/( square root of 2)	$\frac{2}{\sqrt{2}}$
171694	Solve Using the Quadratic Formula	1/7x^2+7/19x=0	$\frac{1}{7} x^{2} + \frac{7}{19} x = 0$
171695	Solve for θ	sin(theta)+1=0	$\sin (θ) + 1 = 0$
171696	Solve the Inequality for x	\|x\|>7	$\| x \| > 7$
171697	Factor	-14y^2z^4+49xy^4z^7	$- 14 y^{2} z^{4} + 49 x y^{4} z^{7}$
171698	Solve the System of Equations	y=2x y=x^2-15	$y = 2 x$ $y = x^{2} - 15$
171699	Solve the System of Equations	2x+2y+6z=16 2x-y+4z=28 -5x-3y-z=-10	$2 x + 2 y + 6 z = 16$ $2 x - y + 4 z = 28$ $- 5 x - 3 y - z = - 10$
171700	Simplify	(10^2)^(1/2)	${(10^{2})}^{\frac{1}{2}}$