Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235501	Convert to a Percentage	33 is what percent of 60	$33$ is what percent of $60$
235502	Evaluate	(-pi/2)^2	${(- \frac{π}{2})}^{2}$
235503	Simplify	cube root of 4a^2b^4* cube root of 16a^3b^2	$\sqrt[3]{4 a^{2} b^{4}} \cdot \sqrt[3]{16 a^{3} b^{2}}$
235504	Simplify the Radical Expression	( fourth root of z^5)/( fifth root of z)	$\frac{\sqrt[4]{z^{5}}}{\sqrt[5]{z}}$
235505	Write in Standard Form	(x-3)^2-2x=9	${(x - 3)}^{2} - 2 x = 9$
235506	Write in Standard Form	(x^2+x+2)(2x^2-3x-1)	$(x^{2} + x + 2) (2 x^{2} - 3 x - 1)$
235507	Evaluate the Function	g(-1)=-1/( square root of 1-(-1)^2)	$g (- 1) = \frac{- 1}{\sqrt{1 - {(- 1)}^{2}}}$
235508	Simplify	(2x-x^3-2x^2)+(-x^3-2x)	$(2 x - x^{3} - 2 x^{2}) + (- x^{3} - 2 x)$
235509	Graph	y=2^(-x^2)	$y = 2^{- x^{2}}$
235510	Find the Parallel Line	y=2x-11 , P=(3,12)	$y = 2 x - 11$ , $P = (3, 12)$
235511	Solve for b	ab-d=c	$a b - d = c$
235512	Solve for x	x=5+ square root of 16	$x = 5 + \sqrt{16}$
235513	Evaluate	(1/2)(1/2)3/4	$(\frac{1}{2}) (\frac{1}{2}) \frac{3}{4}$
235514	Simplify	log base 2 of 2^x	$\log_{2} (2^{x})$
235515	Simplify the Radical Expression	3^(1/4)*27^(1/4)	$3^{\frac{1}{4}} \cdot 27^{\frac{1}{4}}$
235516	Solve for y	(3y^(3/2))^2=72x	${(3 y^{\frac{3}{2}})}^{2} = 72 x$
235517	Graph	12+y<=-3x	$12 + y \leq - 3 x$
235518	Simplify	1/(x^2y^2)+1/(x^2y^3)	$\frac{1}{x^{2} y^{2}} + \frac{1}{x^{2} y^{3}}$
235519	Solve for x	9=x+2 square root of x-1	$9 = x + 2 \sqrt{x - 1}$
235520	Evaluate	81^7-27^9-9^13 by 45	$81^{7} - 27^{9} - 9^{13}$ by $45$
235521	Simplify	(3x+3)^2+(x+5)(x-4)	${(3 x + 3)}^{2} + (x + 5) (x - 4)$
235522	Graph	y-x>0	$y - x > 0$
235523	Simplify	1+(sin(x)^2)/(cos(x)^2)	$1 + \frac{\sin^{2} (x)}{\cos^{2} (x)}$
235524	Evaluate	cot(-300 degrees )	$\cot (- 300 °)$
235525	Solve the System of Equations	10x+y=-20 y=2x^2-4x-16	$10 x + y = - 20$ $y = 2 x^{2} - 4 x - 16$
235526	Solve for W	cube root of W=3	$\sqrt[3]{W} = 3$
235527	Evaluate	fourth root of 3^5* cube root of 3^4	$\sqrt[4]{3^{5}} \cdot \sqrt[3]{3^{4}}$
235528	Find the Complex Conjugate	3/(4+4 square root of 5)	$\frac{3}{4 + 4 \sqrt{5}}$
235529	Solve the Inequality for a	2+2a<=10	$2 + 2 a \leq 10$
235530	Evaluate	4900E-3	$4900 E - 3$
235531	Graph	x^3+2x^2+x	$x^{3} + 2 x^{2} + x$
235532	Solve for x	2/3x+4/5=1/6x+3/10	$\frac{2}{3} x + \frac{4}{5} = \frac{1}{6} x + \frac{3}{10}$
235533	Simplify	(2a)/(2a+3)+5/(3-2a)-(4a^2+9)/(4a^2-9)	$\frac{2 a}{2 a + 3} + \frac{5}{3 - 2 a} - \frac{4 a^{2} + 9}{4 a^{2} - 9}$
235534	Solve for x	-sin(x)=-2/pi	$- \sin (x) = - \frac{2}{π}$
235535	Simplify	(7-3i^2)(i^4-6)	$(7 - 3 i^{2}) (i^{4} - 6)$
235536	Simplify	(2x^2-2y^2)/(x+y)	$\frac{2 x^{2} - 2 y^{2}}{x + y}$
235537	Solve for n	(n+3)^(5/4)-32=0	${(n + 3)}^{\frac{5}{4}} - 32 = 0$
235538	Simplify the Radical Expression	square root of 7xy^18	$\sqrt{7 x y^{18}}$
235539	Solve by Substitution	y=1/2x+1 y=-1/2x+9	$y = \frac{1}{2} x + 1$ $y = - \frac{1}{2} x + 9$
235540	Simplify	-2/(x^2-2x-3)+3/(x^2-9)	$\frac{- 2}{x^{2} - 2 x - 3} + \frac{3}{x^{2} - 9}$
235541	Solve for x	square root of 1-x^2+2=3	$\sqrt{1 - x^{2}} + 2 = 3$
235542	Evaluate	square root of 2-( square root of 2)/2	$\sqrt{2} - \frac{\sqrt{2}}{2}$
235543	Simplify	-2(-4rt)^2	$- 2 {(- 4 r t)}^{2}$
235544	Solve for x	y=e^x+1	$y = e^{x} + 1$
235545	Graph	x^2-xy+y^2=3	$x^{2} - x y + y^{2} = 3$
235546	Solve for a	1/a-1/b=p	$\frac{1}{a} - \frac{1}{b} = p$
235547	Simplify	(p^0)/p	$\frac{p^{0}}{p}$
235548	Solve for x	-(ax)/b>=c-d	$- \frac{a x}{b} \geq c - d$
235549	Solve for t	t=2pi square root of 1/32	$t = 2 π \sqrt{\frac{1}{32}}$
235550	Solve by Completing the Square	x^2+1/3x=4	$x^{2} + \frac{1}{3} x = 4$
235551	Simplify	(a-b)^2(a+b)^2+2a^2b^2	${(a - b)}^{2} {(a + b)}^{2} + 2 a^{2} b^{2}$
235552	Evaluate	(1/2)^x=8	${(\frac{1}{2})}^{x} = 8$
235553	Graph	(x-1)^2+(y+2)^2<=4	${(x - 1)}^{2} + {(y + 2)}^{2} \leq 4$
235554	Solve for x	4/x=3-1/2x	$\frac{4}{x} = 3 - \frac{1}{2} x$
235555	Solve for n	square root of 5n+9+4=7	$\sqrt{5 n + 9 + 4} = 7$
235556	Graph	-x+10>=16 or 2>-x+10	$- x + 10 \geq 16$ or $2 > - x + 10$
235557	Solve by Graphing	x-y=-2 -x+y=2	$x - y = - 2$ $- x + y = 2$
235558	Multiply	2 square root of 2*2 square root of 20	$2 \sqrt{2} \cdot 2 \sqrt{20}$
235559	Solve for x	x/(x-1)=4/x	$\frac{x}{x - 1} = \frac{4}{x}$
235560	Solve for A	-6A+33<=9	$- 6 A + 33 \leq 9$
235561	Simplify	4 square root of 6y*3 square root of 7x^2y	$4 \sqrt{6 y} \cdot 3 \sqrt{7 x^{2} y}$
235562	Solve the Inequality for x	e^x>5	$e^{x} > 5$
235563	Multiply	(2x^3y-3y)^2	${(2 x^{3} y - 3 y)}^{2}$
235564	Simplify	(2 square root of 2x^2)(3x square root of x^2)	$(2 \sqrt{2 x^{2}}) (3 x \sqrt{x^{2}})$
235565	Simplify the Radical Expression	- square root of 2+6 square root of 5-3 square root of 5	$- \sqrt{2} + 6 \sqrt{5} - 3 \sqrt{5}$
235566	Solve the System of Equations	y=5 3x+y=2	$y = 5$ $3 x + y = 2$
235567	Solve the Inequality for v	-9>=-8(1+6v)-1	$- 9 \geq - 8 (1 + 6 v) - 1$
235568	Solve the Inequality for x	-57<=3(3x-4)<24	$- 57 \leq 3 (3 x - 4) < 24$
235569	Graph Using a Table of Values	y=(x-3)^2-1	$y = {(x - 3)}^{2} - 1$
235570	Find the Exact Value	\|7-i\|	$\| 7 - i \|$
235571	Factor	x^4+x^2-90=0	$x^{4} + x^{2} - 90 = 0$
235572	Solve the Inequality for x	x+3<0	$x + 3 < 0$
235573	Simplify the Radical Expression	2 square root of 2*2 square root of 20	$2 \sqrt{2} \cdot 2 \sqrt{20}$
235574	Find the Points of Intersection	x+4y=5 3x-4y=17	$x + 4 y = 5$ $3 x - 4 y = 17$
235575	Convert to a Decimal	csc(330)deg	$\csc (330)$ degrees
235576	Evaluate	cos(255 degrees )	$\cos (255 °)$
235577	Solve for y	3/4y+1/4=1+y	$\frac{3}{4} y + \frac{1}{4} = 1 + y$
235578	Solve for x	9x-4x+4>=36-12	$9 x - 4 x + 4 \geq 36 - 12$
235579	Simplify the Radical Expression	-x square root of 24+10 square root of 6x^2	$- x \sqrt{24} + 10 \sqrt{6 x^{2}}$
235580	Simplify the Radical Expression	square root of 3( square root of 27- square root of 3)	$\sqrt{3} (\sqrt{27} - \sqrt{3})$
235581	Solve the Inequality for x	(3x-2)/-5>x-5	$\frac{3 x - 2}{- 5} > x - 5$
235582	Evaluate	x^6+7x^3-8=0	$x^{6} + 7 x^{3} - 8 = 0$
235583	Evaluate	1/( cube root of x^8)	$\frac{1}{\sqrt[3]{x^{8}}}$
235584	Graph	y=-(x-1)(2x+5)^2	$y = - (x - 1) {(2 x + 5)}^{2}$
235585	Simplify the Radical Expression	( cube root of 16)/( cube root of 2)	$\frac{\sqrt[3]{16}}{\sqrt[3]{2}}$
235586	Solve the System of Equations	x+y=7 2x+3y=5	$x + y = 7$ $2 x + 3 y = 5$
235587	Determine if Parallel	y=-2x 2x+y=3	$y = - 2 x$ $2 x + y = 3$
235588	Solve the System of Equations	y+4z=2 -x+2y-2z=-9 2x-4y+z=15	$y + 4 z = 2$ $- x + 2 y - 2 z = - 9$ $2 x - 4 y + z = 15$
235589	Solve for x	sin(x)^2-sin(x)=2	$\sin^{2} (x) - \sin (x) = 2$
235590	Simplify	(-6x^3+2x^2+4)+(x^4-6x^3-2x)	$(- 6 x^{3} + 2 x^{2} + 4) + (x^{4} - 6 x^{3} - 2 x)$
235591	Simplify	3+x/(x+2)-2/(x^2-4)	$3 + \frac{x}{x + 2} - \frac{2}{x^{2} - 4}$
235592	Simplify	( square root of x-1/( square root of x))^2	${(\sqrt{x} - \frac{1}{\sqrt{x}})}^{2}$
235593	Simplify	(1-3yi)(6+5i)-(1+4yi)(6+5i)	$(1 - 3 y i) (6 + 5 i) - (1 + 4 y i) (6 + 5 i)$
235594	Convert to Radical Form	((a^2+3)1/3)/((a^2-3)-1/3)	$\frac{(a^{2} + 3) \frac{1}{3}}{(a^{2} - 3) \frac{- 1}{3}}$
235595	Simplify the Radical Expression	(-2+ square root of -8)/2	$\frac{- 2 + \sqrt{- 8}}{2}$
235596	Write in Standard Form	(d^2+4d+3)(d+1)^-1	$(d^{2} + 4 d + 3) {(d + 1)}^{- 1}$
235597	Simplify	(a^(2/3)b^(1/2))/(b^(3/2)* cube root of a)	$\frac{a^{\frac{2}{3}} b^{\frac{1}{2}}}{b^{\frac{3}{2}} \cdot \sqrt[3]{a}}$
235598	Simplify	(2x+6)/(x^2+2x-24)*(x^2+2x-24)/(x^2-7x+12)	$\frac{2 x + 6}{x^{2} + 2 x - 24} \cdot \frac{x^{2} + 2 x - 24}{x^{2} - 7 x + 12}$
235599	Convert to Radical Form	(a^(2/3)b^(1/2))/(b^(3/2)* cube root of a)	$\frac{a^{\frac{2}{3}} b^{\frac{1}{2}}}{b^{\frac{3}{2}} \cdot \sqrt[3]{a}}$
235600	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-6) and has a slope of -5/3 ?	What is the equation of the line that passes through the point $(6, - 6)$ and has a slope of $- \frac{5}{3}$ ?