Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
238401	Simplify	(2x-3)^2+5	${(2 x - 3)}^{2} + 5$
238402	Find the Exact Value	1/(2/(( square root of 3)/2))	$\frac{1}{\frac{2}{\frac{\sqrt{3}}{2}}}$
238403	Simplify	14/(9x^3)*(2y^2)/(7x)	$\frac{14}{9 x^{3}} \cdot \frac{2 y^{2}}{7 x}$
238404	Solve for x	x-3+1=3x-10	$x - 3 + 1 = 3 x - 10$
238405	Solve the Rational Equation for x	square root of 2x=x-4	$\sqrt{2 x} = x - 4$
238406	Graph	y=cos(theta/4+pi/4)-2	$y = \cos (\frac{θ}{4} + \frac{π}{4}) - 2$
238407	Solve for x	3(3x-1)^(1/3)-6=0	$3 {(3 x - 1)}^{\frac{1}{3}} - 6 = 0$
238408	Solve for x	5x = natural log of 8	$5 x = \ln (8)$
238409	Solve for m	a^3+27=(a+3)(a^2+ma+9)	$a^{3} + 27 = (a + 3) (a^{2} + m a + 9)$
238410	Evaluate	9q^2-2/3(3q-7)+5q^2	$9 q^{2} - \frac{2}{3} (3 q - 7) + 5 q^{2}$
238411	Simplify	((8x^2)/(x+4))÷(x/(2(x-4)))	$\frac{8 x^{2}}{x + 4} \div \frac{x}{2 (x - 4)}$
238412	Combine Like Terms	3x^2-x+2-5x^2+8x-5	$3 x^{2} - x + 2 - 5 x^{2} + 8 x - 5$
238413	Evaluate	(pi*3^2)/2	$\frac{π \cdot 3^{2}}{2}$
238414	Find the Holes in the Graph	(3x^2-28x-20)/(2x+16)	$\frac{3 x^{2} - 28 x - 20}{2 x + 16}$
238415	Simplify	(-13x+5x^4-3x^2)+(-6x^2-4x-3x^4)	$(- 13 x + 5 x^{4} - 3 x^{2}) + (- 6 x^{2} - 4 x - 3 x^{4})$
238416	Find the Quadratic Equation Given the Roots	0 , 5 , -5+ square root of 8	$0$ , $5$ , $- 5 + \sqrt{8}$
238417	Solve for x	(20-x)/x=6/4	$\frac{20 - x}{x} = \frac{6}{4}$
238418	Simplify	((4^2)/(3^-3))^-1	${(\frac{4^{2}}{3^{- 3}})}^{- 1}$
238419	Simplify	(r^-3s^5t^2)/(r^2st^-2)	$\frac{r^{- 3} s^{5} t^{2}}{r^{2} s t^{- 2}}$
238420	Simplify	-5 cube root of -64+ cube root of -1- square root of -25	$- 5 \sqrt[3]{- 64} + \sqrt[3]{- 1} - \sqrt{- 25}$
238421	Solve for x	2x+sin(x)=-2	$2 x + \sin (x) = - 2$
238422	Simplify	square root of (225x^3)/(49x)	$\sqrt{\frac{225 x^{3}}{49 x}}$
238423	Solve for x	0=1/(3x^(2/3))	$0 = \frac{1}{3 x^{\frac{2}{3}}}$
238424	Solve the System of Equations	3x+y-10=0 4x-y-4=0	$3 x + y - 10 = 0$ $4 x - y - 4 = 0$
238425	Graph	y=0.25csc(x+pi)+1	$y = 0.25 \csc (x + π) + 1$
238426	Solve for t	s=(at^2)/2	$s = \frac{a t^{2}}{2}$
238427	Rationalize the Denominator	4/(-1+ square root of 14)	$\frac{4}{- 1 + \sqrt{14}}$
238428	Write in Standard Form	y=-9x^7-x^5+10x^3	$y = - 9 x^{7} - x^{5} + 10 x^{3}$
238429	Solve the Inequality for d	-2d-8>=16	$- 2 d - 8 \geq 16$
238430	Simplify	((3x+6)/(x+5))/((x+2)/(x^2-25))	$\frac{\frac{3 x + 6}{x + 5}}{\frac{x + 2}{x^{2} - 25}}$
238431	Find the Equation that Relates x and y	a=2 and b=1	$a = 2$ and $b = 1$
238432	Convert to Interval Notation	7p+5<=-37 and -10p<10	$7 p + 5 \leq - 37$ and $- 10 p < 10$
238433	Simplify	((x^2-9)/(x^2-5x)*(5x-x^2)/(x^2-x-12))÷((x-4)/(x^2-8x+16))	$\frac{x^{2} - 9}{x^{2} - 5 x} \cdot \frac{5 x - x^{2}}{x^{2} - x - 12} \div \frac{x - 4}{x^{2} - 8 x + 16}$
238434	Solve for x	square root of 2x+6+4=x+3	$\sqrt{2 x + 6 + 4} = x + 3$
238435	Evaluate	sin(theta)=-27/190	$\sin (θ) = - \frac{27}{190}$
238436	Multiply	xy*x	$x y \cdot x$
238437	Simplify the Radical Expression	cube root of 125x^8* fourth root of 16x	$\sqrt[3]{125 x^{8}} \cdot \sqrt[4]{16 x}$
238438	Graph	y=-1/3(x+1)+5	$y = - \frac{1}{3} (x + 1) + 5$
238439	Solve the System of Equations	5x+10y+15z=60 2x+4y+6z=60 x+2y+3z=60	$5 x + 10 y + 15 z = 60$ $2 x + 4 y + 6 z = 60$ $x + 2 y + 3 z = 60$
238440	Find the Domain and Range	y=csc(x+pi/4)	$y = \csc (x + \frac{π}{4})$
238441	Evaluate	8^3+3^(1/2)	$8^{3} + 3^{\frac{1}{2}}$
238442	Graph	j(x)=2f(x+1)+4	$j (x) = 2 f (x + 1) + 4$
238443	Write in Slope-Intercept Form	x-y=5(x-y)	$x - y = 5 (x - y)$
238444	Factor	27^3-64	$27^{3} - 64$
238445	Simplify	cos(225 degrees )	$\cos (225 °)$
238446	Solve for p	S=(r-p)/2	$S = \frac{r - p}{2}$
238447	Simplify the Radical Expression	- square root of 1+ square root of -81- square root of 16- square root of -1	$- \sqrt{1} + \sqrt{- 81} - \sqrt{16} - \sqrt{- 1}$
238448	Solve the Rational Equation for x	2/x=(x+5)/(3x)	$\frac{2}{x} = \frac{x + 5}{3 x}$
238449	Write in Standard Form	-(x^3)/6-10+x	$- \frac{x^{3}}{6} - 10 + x$
238450	Find the Holes in the Graph	(x^2-5x+4)/(3x^2+6x-72)	$\frac{x^{2} - 5 x + 4}{3 x^{2} + 6 x - 72}$
238451	Simplify	((x^-2y^4)^3)/((xy)^-3)	$\frac{{(x^{- 2} y^{4})}^{3}}{{(x y)}^{- 3}}$
238452	Solve the Absolute Value Inequality for p	\|-3p\|=15	$\| - 3 p \| = 15$
238453	Graph	( square root of 3,1)	$(\sqrt{3}, 1)$
238454	Solve for x	-2(4-x)+x>-25	$- 2 (4 - x) + x > - 25$
238455	Find the Excluded Values	1/(x-1)+3=7/(x-1)	$\frac{1}{x - 1} + 3 = \frac{7}{x - 1}$
238456	Simplify	4 1/2/4 1/6	$\frac{4 \frac{1}{2}}{4 \frac{1}{6}}$
238457	Graph	2^(5x)=32 , 768	$2^{5 x} = 32$ , $768$
238458	Solve for x	3.8=-2 1/2-5x	$3.8 = - 2 \frac{1}{2} - 5 x$
238459	Simplify	(12x+48)/(6x-15)*(4x^2-25)/(x^2+9x+20)	$\frac{12 x + 48}{6 x - 15} \cdot \frac{4 x^{2} - 25}{x^{2} + 9 x + 20}$
238460	Find the Inverse	f(x) = cube root of x-1+4	$f (x) = \sqrt[3]{x - 1 + 4}$
238461	Simplify	(4w^-3(2q)^2)/(8w^2q^3)	$\frac{4 w^{- 3} {(2 q)}^{2}}{8 w^{2} q^{3}}$
238462	Simplify	(5/(4x))/((7x^3)/2)	$\frac{\frac{5}{4 x}}{\frac{7 x^{3}}{2}}$
238463	Evaluate	(a^2+1)/(a^2-1)-2/(a+1)=a/(a-1)	$\frac{a^{2} + 1}{a^{2} - 1} - \frac{2}{a + 1} = \frac{a}{a - 1}$
238464	Simplify	((x^-2)^3y^4)/(x^-2y)	$\frac{{(x^{- 2})}^{3} y^{4}}{x^{- 2} y}$
238465	Subtract	(8k+k^2-6)-(-10k+7-2k^2)	$(8 k + k^{2} - 6) - (- 10 k + 7 - 2 k^{2})$
238466	Evaluate	Evaluate (1/(27^(4/3)))	Evaluate $(\frac{1}{27^{\frac{4}{3}}})$
238467	Factor	a^3+a^2b+ab+b^2	$a^{3} + a^{2} b + a b + b^{2}$
238468	Simplify	((a^-3b^3c^-5)^5)/((a^5b^-2c^-1)^-2)	$\frac{{(a^{- 3} b^{3} c^{- 5})}^{5}}{{(a^{5} b^{- 2} c^{- 1})}^{- 2}}$
238469	Evaluate	3-1/2*0	$3 - \frac{1}{2} \cdot 0$
238470	Solve for n	-5\|-n+7\|>=-45	$- 5 \| - n + 7 \| \geq - 45$
238471	Solve for d	s=3/2 fourth root of d	$s = \frac{3}{2} \sqrt[4]{d}$
238472	Find the Exact Value	5-((2+3)-4)	$5 - ((2 + 3) - 4)$
238473	Solve for d	d(f)=2f+115	$d (f) = 2 f + 115$
238474	Simplify	(10 square root of 2x^20+7 square root of 8x^20)/( square root of 18x^20)	$\frac{10 \sqrt{2 x^{20}} + 7 \sqrt{8 x^{20}}}{\sqrt{18 x^{20}}}$
238475	Solve for x	4/(x-4)=2+x/(x-4)	$\frac{4}{x - 4} = 2 + \frac{x}{x - 4}$
238476	Simplify the Radical Expression	6x square root of 112-6 square root of 7x^2	$6 x \sqrt{112} - 6 \sqrt{7 x^{2}}$
238477	Evaluate	(7pi)/6(180/pi)	$\frac{7 π}{6} (\frac{180}{π})$
238478	Find the Exact Value	(2pi)/(3/2)	$\frac{2 π}{\frac{3}{2}}$
238479	Find the Roots (Zeros)	(-5x-1)(2x+8)	$(- 5 x - 1) (2 x + 8)$
238480	Simplify	(x+1)/((x+1)^2)	$\frac{x + 1}{{(x + 1)}^{2}}$
238481	Evaluate	square root of x^2=3	$\sqrt{x^{2}} = 3$
238482	Solve by Substitution	2x^2+4x-y=-3 -2x+y=-4	$2 x^{2} + 4 x - y = - 3$ $- 2 x + y = - 4$
238483	Evaluate Using the Given Value	(p+q)^2-(5-5) ; use p=1 ; and q=1	${(p + q)}^{2} - (5 - 5)$ ; use $p = 1$ ; and $q = 1$
238484	Solve for j	cube root of j=6	$\sqrt[3]{j} = 6$
238485	Evaluate	(-1/2)/(-1/2+1)-1	$\frac{- \frac{1}{2}}{- \frac{1}{2} + 1} - 1$
238486	Evaluate	5% of 400	$5 %$ of $400$
238487	Simplify	(3x-2)(3x+1)(3x+2)(x-1)	$(3 x - 2) (3 x + 1) (3 x + 2) (x - 1)$
238488	Solve for y	2x+3y=12 for y	$2 x + 3 y = 12$ for $y$
238489	Find the Exact Value	sin(pi/6)cos(pi/2)+cos(pi/6)sin(pi/2)	$\sin (\frac{π}{6}) \cos (\frac{π}{2}) + \cos (\frac{π}{6}) \sin (\frac{π}{2})$
238490	Graph	x-2y=4 x-2y=6	$x - 2 y = 4$ $x - 2 y = 6$
238491	Evaluate Using Scientific Notation	0.5(8x*10^5)	$0.5 (8 x \cdot 10^{5})$
238492	Solve the Rational Equation for x	square root of 2x+7=x+3	$\sqrt{2 x} + 7 = x + 3$
238493	Evaluate	(24÷8+(12-3)÷6)^2	${(24 \div 8 + (12 - 3) \div 6)}^{2}$
238494	Solve for y	(-( square root of 8)/3)^2+y^2=1^2	${(- \frac{\sqrt{8}}{3})}^{2} + y^{2} = 1^{2}$
238495	Solve the System of Equations	2(x-1/3)-3/2(y-1/6)=0 3(y-1/2)+8/3(x-1/6)=0	$2 (x - \frac{1}{3}) - \frac{3}{2} (y - \frac{1}{6}) = 0$ $3 (y - \frac{1}{2}) + \frac{8}{3} (x - \frac{1}{6}) = 0$
238496	Find the Domain and Range	y=1+arccos(x)	$y = 1 + \arccos (x)$
238497	Simplify	( square root of 3+ square root of 5)( square root of 3-3 square root of 5)	$(\sqrt{3} + \sqrt{5}) (\sqrt{3} - 3 \sqrt{5})$
238498	Write as a Single Logarithm	log of 9^5	$\log (9^{5})$
238499	Solve for w	19w^2-30w+8=-6w^2	$19 w^{2} - 30 w + 8 = - 6 w^{2}$
238500	Simplify	4/(9k^5)*(3k^3)/8	$\frac{4}{9 k^{5}} \cdot \frac{3 k^{3}}{8}$