Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
501	Simplify	(7x^2+a^2)(x^2-3a^2)	$(7 x^{2} + a^{2}) (x^{2} - 3 a^{2})$
502	Simplify	(a-(2a-1)/a)/((1-a)/(3a))	$\frac{a - \frac{2 a - 1}{a}}{\frac{1 - a}{3 a}}$
503	Solve for f	3/5f=2 1/5	$\frac{3}{5} f = 2 \frac{1}{5}$
504	Simplify the Radical Expression	(n^4)^(3/2)	${(n^{4})}^{\frac{3}{2}}$
505	Factor	9x+ay+9y+ax	$9 x + a y + 9 y + a x$
506	Solve for y	(2y+1)^2-4y^2=5	${(2 y + 1)}^{2} - 4 y^{2} = 5$
507	Evaluate the Integral	integral of (5^(5x+1)-15x^4) with respect to x	$\int (5^{5 x + 1} - 15 x^{4}) d x$
508	Solve for z	1/3(z+4)-6=2/3(5-z)	$\frac{1}{3} (z + 4) - 6 = \frac{2}{3} (5 - z)$
509	Simplify	(x^2)/((x-y)^2)-(x+y)/(2x-2y)	$\frac{x^{2}}{{(x - y)}^{2}} - \frac{x + y}{2 x - 2 y}$
510	Evaluate the Limit	limit as x approaches infinity of (x^3+5)/(x(2x^2+3))	$lim_{x \to \infty} \frac{x^{3} + 5}{x (2 x^{2} + 3)}$
511	Solve for x	x^7+x^4+x^3+1=0	$x^{7} + x^{4} + x^{3} + 1 = 0$
512	Solve the Inequality for x	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
513	Simplify	(x-y)/(2x)+(5-y)/(3-x)	$\frac{x - y}{2 x} + \frac{5 - y}{3 - x}$
514	Simplify	((-2xy^2)^3)^2	${({(- 2 x y^{2})}^{3})}^{2}$
515	Simplify	6m-2n+6n-2+n^2	$6 m - 2 n + 6 n - 2 + n^{2}$
516	Write in Standard Form	f(x)=2x+x^3+3x^5+4	$f (x) = 2 x + x^{3} + 3 x^{5} + 4$
517	Solve for x	(a(1+ square root of x))/(x-1)=b	$\frac{a (1 + \sqrt{x})}{x - 1} = b$
518	Find the Antiderivative	square root of x-2/( square root of x)	$\sqrt{x} - \frac{2}{\sqrt{x}}$
519	Simplify	(4x)/(9x^(1/2))	$\frac{4 x}{9 x^{\frac{1}{2}}}$
520	Simplify	(8c^3d^2f^4)/(4c^-1d^2f^-3)	$\frac{8 c^{3} d^{2} f^{4}}{4 c^{- 1} d^{2} f^{- 3}}$
521	Factor	g(x)=4x^3-8x^2-25x+50	$g (x) = 4 x^{3} - 8 x^{2} - 25 x + 50$
522	Solve for x	5+x^2=(x+1)(x+6)	$5 + x^{2} = (x + 1) (x + 6)$
523	Find the Product	((x+2)-(y+1))((x+2)+(y+1))	$((x + 2) - (y + 1)) ((x + 2) + (y + 1))$
524	Simplify	(2x^2-2y^2)/(x^2+2xy+y^2)	$\frac{2 x^{2} - 2 y^{2}}{x^{2} + 2 x y + y^{2}}$
525	Simplify	((a+b)^2)^2	${({(a + b)}^{2})}^{2}$
526	Solve for x	log base 5 of 2x+1 = log base 5 of 4x-7	$\log_{5} (2 x) + 1 = \log_{5} (4 x) - 7$
527	Factor	9(p-1)+(p-1)^2	$9 (p - 1) + {(p - 1)}^{2}$
528	Simplify	8+5y^2-42xy-2-3y	$8 + 5 y^{2} - 42 x y - 2 - 3 y$
529	Simplify	( square root of 2)/(i square root of 2)	$\frac{\sqrt{2}}{i \sqrt{2}}$
530	Simplify	((3x^2y^-3)/(2x^-3y^2))^3	${(\frac{3 x^{2} y^{- 3}}{2 x^{- 3} y^{2}})}^{3}$
531	Multiply	square root of 14xy* square root of 12* square root of 30y	$\sqrt{14 x y} \cdot \sqrt{12} \cdot \sqrt{30 y}$
532	Convert from Radians to Degrees	10/9pirad	$\frac{10}{9} π$ rad
533	Find the Product	(x+(y-2))^3	${(x + (y - 2))}^{3}$
534	Simplify	(x-y)-(x-1)(x-2)	$(x - y) - (x - 1) (x - 2)$
535	Solve for x	8- fourth root of x=7	$8 - \sqrt[4]{x} = 7$
536	Simplify	fourth root of 81+ fourth root of 32- fourth root of 2	$\sqrt[4]{81} + \sqrt[4]{32} - \sqrt[4]{2}$
537	Solve the Inequality for x	2x+6y<=10	$2 x + 6 y \leq 10$
538	Evaluate the Integral	integral from 0 to a of 3x^2 with respect to x=1	$\int_{0}^{a} 3 x^{2} d x = 1$
539	Simplify	xy^-1z^-2	$x y^{- 1} z^{- 2}$
540	Simplify	((2a-b)^2)÷((4a^3-ab^2)/3)	${(2 a - b)}^{2} \div \frac{4 a^{3} - a b^{2}}{3}$
541	Simplify	12x-4+6y-2+3x-y+3	$12 x - 4 + 6 y - 2 + 3 x - y + 3$
542	Simplify	a/(a-6)-3/(a+6)+(a^2)/(36-a^2)	$\frac{a}{a - 6} - \frac{3}{a + 6} + \frac{a^{2}}{36 - a^{2}}$
543	Factor	-x^3+y^3	$- x^{3} + y^{3}$
544	Simplify	a+b-(a^2+b^2)/(a+b)	$a + b - \frac{a^{2} + b^{2}}{a + b}$
545	Simplify	(1/4ad^3)^2	${(\frac{1}{4} a d^{3})}^{2}$
546	Simplify	(x+3)/(2x^2+1)-5/(1-2x)	$\frac{x + 3}{2 x^{2} + 1} - \frac{5}{1 - 2 x}$
547	Divide	(4x^3)÷(2x)	$(4 x^{3}) \div (2 x)$
548	Evaluate	(6/n)^-2	${(\frac{6}{n})}^{- 2}$
549	Solve for y	(d^2)y=0	$(d^{2}) y = 0$
550	Solve for C	F=1.8C+32	$F = 1.8 C + 32$
551	Evaluate the Limit	limit as x approaches 1 of (e^x-e)/(x-1)	$lim_{x \to 1} \frac{e^{x} - e}{x - 1}$
552	Solve for x	\|2x-1\|>\|3x+5\|	$\| 2 x - 1 \| > \| 3 x + 5 \|$
553	Simplify	cot(theta)sin(theta)tan(theta)	$\cot (θ) \cdot \sin (θ) \cdot \tan (θ)$
554	Factor	3a+b-6a^2-2ab	$3 a + b - 6 a^{2} - 2 a b$
555	Simplify	a/(a-b)+(3a)/(a+b)-(2ab)/(a^2-b^2)	$\frac{a}{a - b} + \frac{3 a}{a + b} - \frac{2 a b}{a^{2} - b^{2}}$
556	Solve for d	(3d)/8=6r+1	$\frac{3 d}{8} = 6 r + 1$
557	Evaluate the Integral	integral of (-2x^-3+20x^-5) with respect to x	$\int (- 2 x^{- 3} + 20 x^{- 5}) d x$
558	Solve the Inequality for x	square root of 10-x^2+6<\|10-x^2\|	$\sqrt{10 - x^{2}} + 6 < \| 10 - x^{2} \|$
559	Solve for B	Ax+By=C	$A x + B y = C$
560	Simplify	2x-5y+2-y+6x-3	$2 x - 5 y + 2 - y + 6 x - 3$
561	Evaluate the Integral	integral of 2(2^x) with respect to x	$\int 2 (2^{x}) d x$
562	Find the Domain	(c+6b)/(ac+2bc-6ab-3a^2)+(2b)/(a^2+2ab)-b/(ac-3a^2)	$\frac{c + 6 b}{a c + 2 b c - 6 a b - 3 a^{2}} + \frac{2 b}{a^{2} + 2 a b} - \frac{b}{a c - 3 a^{2}}$
563	Solve for y	square root of 2x+y-3z=5	$\sqrt{2 x + y - 3 z} = 5$
564	Simplify	(2y^2+7y+3)/(y^3-1)-(1-2y)/(y^2+y+1)-3/(y-1)	$\frac{2 y^{2} + 7 y + 3}{y^{3} - 1} - \frac{1 - 2 y}{y^{2} + y + 1} - \frac{3}{y - 1}$
565	Simplify the Radical Expression	5 square root of 12-19 square root of 3	$5 \sqrt{12} - 19 \sqrt{3}$
566	Simplify	(i square root of 2-5)/(i+ square root of 2)	$\frac{i \sqrt{2} - 5}{i + \sqrt{2}}$
567	Simplify	1/2xy^2+3x-5/2xy^2+3/7x^2-4x	$\frac{1}{2} x y^{2} + 3 x - \frac{5}{2} x y^{2} + \frac{3}{7} x^{2} - 4 x$
568	Find the Derivative - d/dx	y=((3x-1)/(x^2+3))^2	$y = {(\frac{3 x - 1}{x^{2} + 3})}^{2}$
569	Simplify	(2/3p)^2	${(\frac{2}{3} p)}^{2}$
570	Simplify	(6((7x+5)/(3x-6))+5)/(3((7x+5)/(3x-6))-7)	$\frac{6 (\frac{7 x + 5}{3 x - 6}) + 5}{3 (\frac{7 x + 5}{3 x - 6}) - 7}$
571	Solve for m	m+(5x^2-2xy)=6x^2+9xy-y^2	$m + (5 x^{2} - 2 x y) = 6 x^{2} + 9 x y - y^{2}$
572	Simplify	1/(2- fourth root of 9)	$\frac{1}{2 - \sqrt[4]{9}}$
573	Simplify	( square root of 125+ square root of 20- square root of 45)/( square root of 10)*( square root of 2)/3	$\frac{\sqrt{125} + \sqrt{20} - \sqrt{45}}{\sqrt{10}} \cdot \frac{\sqrt{2}}{3}$
574	Simplify	(x-2)/(x^2+2x+4)-(6x)/(x^3-8)+1/(x-2)	$\frac{x - 2}{x^{2} + 2 x + 4} - \frac{6 x}{x^{3} - 8} + \frac{1}{x - 2}$
575	Solve the Inequality for y	(y-1)/2-(2y+3)/8-y>2	$\frac{y - 1}{2} - \frac{2 y + 3}{8} - y > 2$
576	Evaluate the Limit	limit as x approaches infinity of (e^x)/(x+1)	$lim_{x \to \infty} \frac{e^{x}}{x + 1}$
577	Simplify	(3b+2c)/(9b^2c)-(2c-5b)/(6bc^2)	$\frac{3 b + 2 c}{9 b^{2} c} - \frac{2 c - 5 b}{6 b c^{2}}$
578	Evaluate	square root of 0.32*(2 square root of 800-3 square root of 1800)	$\sqrt{0.32} \cdot (2 \sqrt{800} - 3 \sqrt{1800})$
579	Simplify	(5y+3)/(2y+2)-(7y+4)/(3y+3)	$\frac{5 y + 3}{2 y + 2} - \frac{7 y + 4}{3 y + 3}$
580	Simplify the Radical Expression	square root of 20+ square root of 45- square root of 5	$\sqrt{20} + \sqrt{45} - \sqrt{5}$
581	Simplify the Radical Expression	square root of 2+ square root of 12	$\sqrt{2} + \sqrt{12}$
582	Rationalize the Denominator	(2x)/( square root of 2)	$\frac{2 x}{\sqrt{2}}$
583	Simplify	(m^2-n)(m^2+2n^2)	$(m^{2} - n) (m^{2} + 2 n^{2})$
584	Simplify	(2x+3y)/(9x)+(6x-11y)/(9x)-(19y-x)/(9x)	$\frac{2 x + 3 y}{9 x} + \frac{6 x - 11 y}{9 x} - \frac{19 y - x}{9 x}$
585	Simplify	sin(theta)cos(theta)csc(theta)	$\sin (θ) \cdot \cos (θ) \cdot \csc (θ)$
586	Simplify	((x^2y^6)/(x^-1y^3))^(1/3)	${(\frac{x^{2} y^{6}}{x^{- 1} y^{3}})}^{\frac{1}{3}}$
587	Solve for g	1/9g=-7/3	$\frac{1}{9} g = - \frac{7}{3}$
588	Find the Derivative - d/dx	x+ square root of x+1	$x + \sqrt{x + 1}$
589	Solve the Inequality for x	(5x-1)/5+(x+1)/2<=x	$\frac{5 x - 1}{5} + \frac{x + 1}{2} \leq x$
590	Solve for m	m-(7x^2+3.2xy-4.3y^2)=2x^2+0.5y^2	$m - (7 x^{2} + 3.2 x y - 4.3 y^{2}) = 2 x^{2} + 0.5 y^{2}$
591	Solve for x	2(4^(2x+1))=128	$2 (4^{2 x + 1}) = 128$
592	Find the Domain	((x^2-bx+ax-ab)/(x^2+bx-ax-ab))÷((x^2+bx+ax+ab)/(x^2-bx-ax+ab))	$\frac{x^{2} - b x + a x - a b}{x^{2} + b x - a x - a b} \div \frac{x^{2} + b x + a x + a b}{x^{2} - b x - a x + a b}$
593	Solve for y	square root of 25y^2-10y+1=7	$\sqrt{25 y^{2} - 10 y + 1} = 7$
594	Solve for x	6- square root of x-2=x+4	$6 - \sqrt{x - 2} = x + 4$
595	Factor by Grouping	x^3y^2-x^2y^3-xy^2+y^3	$x^{3} y^{2} - x^{2} y^{3} - x y^{2} + y^{3}$
596	Simplify	3(2t^2-4t-15)+6t(5t+2)	$3 (2 t^{2} - 4 t - 15) + 6 t (5 t + 2)$
597	Factor	4x^(a+2)+20x^a	$4 x^{a + 2} + 20 x^{a}$
598	Factor	x-y-xy+x^2	$x - y - x y + x^{2}$
599	Graph	y> square root of x-4-2	$y > \sqrt{x - 4} - 2$
600	Simplify the Radical Expression	square root of 5^2	$\sqrt{5^{2}}$