Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
228501	Rationalize the Denominator	( square root of 2)/( square root of 40)	$\frac{\sqrt{2}}{\sqrt{40}}$
228502	Multiply	(-4x-32)/(x^2-12x+36)*(x^2-9x+18)/(3x+24)	$\frac{- 4 x - 32}{x^{2} - 12 x + 36} \cdot \frac{x^{2} - 9 x + 18}{3 x + 24}$
228503	Solve for n	(n-6)/(3n)=1/2	$\frac{n - 6}{3 n} = \frac{1}{2}$
228504	Solve for x	5x-3(x+9)+10=4	$5 x - 3 (x + 9) + 10 = 4$
228505	Solve for x	(x-3)^2-2=x+1	${(x - 3)}^{2} - 2 = x + 1$
228506	Find the Roots (Zeros)	sin(x)=0	$\sin (x) = 0$
228507	Simplify	4(x-4)+2(3x^2+3x-20)	$4 (x - 4) + 2 (3 x^{2} + 3 x - 20)$
228508	Evaluate	3(1-t)^2-5(1-t)+1	$3 {(1 - t)}^{2} - 5 (1 - t) + 1$
228509	Find the x and y Intercepts	y = log base 1/2 of x	$y = \log_{\frac{1}{2}} (x)$
228510	Solve the Inequality for n	7-n>=3	$7 - n \geq 3$
228511	Solve the System of Equations	-1/2y=1/2x+5 and y=2x+2	$- \frac{1}{2} y = \frac{1}{2} x + 5$ and $y = 2 x + 2$
228512	Factor	x^4-64=0	$x^{4} - 64 = 0$
228513	Solve for M₁	F=(GM_1M_2)/(r^2)	$F = \frac{G M_{1} M_{2}}{r^{2}}$
228514	Simplify	(1/x-3/(x+1))/(2/(x+1)-3/x)	$\frac{\frac{1}{x} - \frac{3}{x + 1}}{\frac{2}{x + 1} - \frac{3}{x}}$
228515	Solve for x	x/(x-2)=(x+4)/9	$\frac{x}{x - 2} = \frac{x + 4}{9}$
228516	Simplify	((3m^2n^3)/(xy^2))^2((x^3yz^2)/(2mn^2))	${(\frac{3 m^{2} n^{3}}{x y^{2}})}^{2} (\frac{x^{3} y z^{2}}{2 m n^{2}})$
228517	Graph	y<=-(x+1)^2+4	$y \leq - {(x + 1)}^{2} + 4$
228518	Graph	-4<(y-7)/-3<=2	$- 4 < \frac{y - 7}{- 3} \leq 2$
228519	Solve for r	1/(r-5)=7/(2r)	$\frac{1}{r - 5} = \frac{7}{2 r}$
228520	Solve for x	3(x-5)^(3/2)-6=18	$3 {(x - 5)}^{\frac{3}{2}} - 6 = 18$
228521	Simplify	(-9)^(-1/2)	${(- 9)}^{- \frac{1}{2}}$
228522	Simplify	x-8+x-5+x+1	$x - 8 + x - 5 + x + 1$
228523	Graph	x>=3 x<=16 y<=x y>=2	$x \geq 3$ $x \leq 16$ $y \leq x$ $y \geq 2$
228524	Solve for y	y=-1/2(0)	$y = - \frac{1}{2} (0)$
228525	Solve the Inequality for x	2-3x<5(2-x)<=3(2-x)+10	$2 - 3 x < 5 (2 - x) \leq 3 (2 - x) + 10$
228526	Simplify	2x+x/y	$2 x + \frac{x}{y}$
228527	Solve the System of Inequalities	1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a	$1.25 a + 3 > 0.5 a - 6$ and $2.5 a - 1 \geq 9 - 1.5 a$
228528	Write in Standard Form	-1+y=1/5x	$- 1 + y = \frac{1}{5} x$
228529	Solve for y	2y^2+3y=7	$2 y^{2} + 3 y = 7$
228530	Solve the Inequality for x	-8(x-3)-4x<108	$- 8 (x - 3) - 4 x < 108$
228531	Determine if Linear	2/y=x	$\frac{2}{y} = x$
228532	Find the Exact Value	(9^2-31)/(5^2)	$\frac{(9^{2} - 31)}{5^{2}}$
228533	Solve the System of Equations	y=3x 2y+x=14	$y = 3 x$ $2 y + x = 14$
228534	Combine Like Terms	(5r-2s)-(9r-11s)	$(5 r - 2 s) - (9 r - 11 s)$
228535	Simplify	(5- square root of 8)/( square root of 2)	$\frac{5 - \sqrt{8}}{\sqrt{2}}$
228536	Evaluate	(3g^2-g)+(3g^2-8g+4)	$(3 g^{2} - g) + (3 g^{2} - 8 g + 4)$
228537	Graph	4x-y>=4 and y<5	$4 x - y \geq 4$ and $y < 5$
228538	Subtract	4xy-13x^2y+7 7x^2y^2+12xy^2-3x^2y+11	$4 x y - 13 x^{2} y + 7$ $7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11$
228539	Simplify	((c^2-6c-16)/(c^2-d^2))÷((c^2-8c)/(c+d))	$\frac{c^{2} - 6 c - 16}{c^{2} - d^{2}} \div \frac{c^{2} - 8 c}{c + d}$
228540	Simplify	( square root of 3)/2*2/1	$\frac{\sqrt{3}}{2} \cdot \frac{2}{1}$
228541	Divide	(8/5)÷(-12/25)	$\frac{8}{5} \div (- \frac{12}{25})$
228542	Simplify the Radical Expression	( square root of y+ square root of z)/( square root of y- square root of z)	$\frac{\sqrt{y} + \sqrt{z}}{\sqrt{y} - \sqrt{z}}$
228543	Solve for x	sin(x)+sin(3x)=0	$\sin (x) + \sin (3 x) = 0$
228544	Simplify	((c^-3c^4)/(c^2))^-2	${(\frac{c^{- 3} c^{4}}{c^{2}})}^{- 2}$
228545	Convert to a Percentage	0.2 as a percentage	$0.2$ as a percentage
228546	Find the Domain and Range	y=3-2cos(x/2)	$y = 3 - 2 \cos (\frac{x}{2})$
228547	Find the End Behavior	x^5-4x^4+2x^2-1	$x^{5} - 4 x^{4} + 2 x^{2} - 1$
228548	Simplify	cube root of (27a^9)/(8b^6)	$\sqrt[3]{\frac{27 a^{9}}{8 b^{6}}}$
228549	Simplify	1/(x^3y^2)-1	$\frac{1}{x^{3} y^{2}} - 1$
228550	Evaluate	log base 4 of 17/4	$\log_{4} (\frac{17}{4})$
228551	Find All Complex Solutions	square root of 3tan(x)cot(x)+ square root of 3tan(x)-cot(x)-1=0	$\sqrt{3} \tan (x) \cot (x) + \sqrt{3} \tan (x) - \cot (x) - 1 = 0$
228552	Solve for n	0.3n=0.8+0.7n	$0.3 n = 0.8 + 0.7 n$
228553	Subtract	(8k+9)/18-(2k+1)/18	$\frac{8 k + 9}{18} - \frac{2 k + 1}{18}$
228554	Graph	x<7 or x<9	$x < 7$ or $x < 9$
228555	Solve for z	z^2-3/4z=-80	$z^{2} - \frac{3}{4} z = - 80$
228556	Simplify	3a(2x-7)+5b(7-2x)	$3 a (2 x - 7) + 5 b (7 - 2 x)$
228557	Find the First Term	t_n=2n^2-n	$t_{n} = 2 n^{2} - n$
228558	Find the Distance Between Two Points	(8,-8) and (-1,-5)	$(8, - 8)$ and $(- 1, - 5)$
228559	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,2) and has a slope of -3 ?	What is the equation of the line that passes through the point $(- 3, 2)$ and has a slope of $- 3$ ?
228560	Graph	Graph y=2x+1	Graph $y = 2 x + 1$
228561	Solve for x	log base 4 of x-5 = log base 4 of 30x- log base 4 of 6	$\log_{4} (x - 5) = \log_{4} (30 x) - \log_{4} (6)$
228562	Find the Domain and Range	f(x)=3tan(2x-(3pi)/2)	$f (x) = 3 \tan (2 x - \frac{3 π}{2})$
228563	Find the x and y Intercepts	-x/3.5+y/12.5=1	$- \frac{x}{3.5} + \frac{y}{12.5} = 1$
228564	Multiply	(p+7)/(p-10)*(p+2)/(7p+14)	$\frac{p + 7}{p - 10} \cdot \frac{p + 2}{7 p + 14}$
228565	Evaluate	( cube root of 1/5)^3	${(\sqrt[3]{\frac{1}{5}})}^{3}$
228566	Evaluate	(-1/2)/((- square root of 3)/2)	$\frac{- \frac{1}{2}}{\frac{- \sqrt{3}}{2}}$
228567	Find the Domain and Range	y=6- cube root of x+8	$y = 6 - \sqrt[3]{x + 8}$
228568	Find the Domain and Range	f(theta)=1+sec(pitheta)	$f (θ) = 1 + \sec (π θ)$
228569	Solve the System of Equations	-5x-2y=13 and 3x-y=12	$- 5 x - 2 y = 13$ and $3 x - y = 12$
228570	Simplify	(2^(-1/2)*7^(1/3))^6	${(2^{- \frac{1}{2}} \cdot 7^{\frac{1}{3}})}^{6}$
228571	Find the Domain and Range	f(x)=5/2\|x-4\|+2	$f (x) = \frac{5}{2} \| x - 4 \| + 2$
228572	Rationalize the Numerator	( square root of x+h-3- square root of x-3)/h	$\frac{\sqrt{x + h - 3} - \sqrt{x - 3}}{h}$
228573	Solve for k	k+13/6=7/4	$k + \frac{13}{6} = \frac{7}{4}$
228574	Evaluate	sin(arccos(-4/( square root of 25)))	$\sin (\arccos (- \frac{4}{\sqrt{25}}))$
228575	Simplify	(3x*4x^2)^3	${(3 x \cdot 4 x^{2})}^{3}$
228576	Simplify	10^12*10^35	$10^{12} \cdot 10^{35}$
228577	Solve for x	3x-8-5x=2-6x-7	$3 x - 8 - 5 x = 2 - 6 x - 7$
228578	Simplify	(( square root of 5)/3)/(-2/3)	$\frac{\frac{\sqrt{5}}{3}}{- \frac{2}{3}}$
228579	Simplify	log of 10^(4x^3+2)	$\log (10^{4 x^{3} + 2})$
228580	Graph	square root of 1/3x	$\sqrt{\frac{1}{3} x}$
228581	Solve for x	7x^2+5-x=6x^2+10	$7 x^{2} + 5 - x = 6 x^{2} + 10$
228582	Graph	1/2y^2=x	$\frac{1}{2} y^{2} = x$
228583	Simplify	(2x^3y)(5xy^2)(3xy)	$(2 x^{3} y) (5 x y^{2}) (3 x y)$
228584	Determine if True	(tan(theta))/(sin(theta))=sec(theta)	$\frac{\tan (θ)}{\sin (θ)} = \sec (θ)$
228585	Divide	((7x^3)/(x^2+x-30))÷((x^2-6x)/(x^2-36))	$\frac{7 x^{3}}{x^{2} + x - 30} \div \frac{x^{2} - 6 x}{x^{2} - 36}$
228586	Evaluate	6x-3(x+8)=9	$6 x - 3 (x + 8) = 9$
228587	Solve by Factoring	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
228588	Simplify	4/( square root of -4)	$\frac{4}{\sqrt{- 4}}$
228589	Solve the System of Equations	6x+y=4 5x+y-7=0	$6 x + y = 4$ $5 x + y - 7 = 0$
228590	Find the Exact Value	(76+2^2)/(4^2)	$\frac{(76 + 2^{2})}{4^{2}}$
228591	Divide	( square root of x+y)/( square root of x-y)	$\frac{\sqrt{x + y}}{\sqrt{x - y}}$
228592	Simplify	(4/(3x)+2/(x^2))/(x/(x+1)-4/(x+1))	$\frac{\frac{4}{3 x} + \frac{2}{x^{2}}}{\frac{x}{x + 1} - \frac{4}{x + 1}}$
228593	Simplify	(x/(x-5))÷((xy)/(x^2-25))	$\frac{x}{x - 5} \div \frac{x y}{x^{2} - 25}$
228594	Multiply	x+1*x	$x + 1 \cdot x$
228595	Solve for C	x^2+bx+C=0	$x^{2} + b x + C = 0$
228596	Solve for x	cube root of (x-2)^2=5	$\sqrt[3]{{(x - 2)}^{2}} = 5$
228597	Simplify	(1/81)^(1/2)*(1/81)^(-3/4)	${(\frac{1}{81})}^{\frac{1}{2}} \cdot {(\frac{1}{81})}^{- \frac{3}{4}}$
228598	Multiply	(4x^2+x-2)(x^2+x+2)	$(4 x^{2} + x - 2) (x^{2} + x + 2)$
228599	Simplify	(3x)/((3x)^(3/2))	$\frac{(3 x)}{{(3 x)}^{\frac{3}{2}}}$
228600	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,1) and has a slope of -3/4 ?	What is the equation of the line that passes through the point $(- 8, 1)$ and has a slope of $- \frac{3}{4}$ ?