Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
161701	Simplify	(x^2+5x)/(2x^2)	$\frac{x^{2} + 5 x}{2 x^{2}}$
161702	Solve for y	2x+3y=5x-y	$2 x + 3 y = 5 x - y$
161703	Solve for y	(2y-4)/(y+7)=1/3	$\frac{2 y - 4}{y + 7} = \frac{1}{3}$
161704	Evaluate	square root of 1/((1/(14910^9))^2-(1/(29810^9))^2)	$\sqrt{\frac{1}{{(\frac{1}{149 \cdot 10^{9}})}^{2} - {(\frac{1}{298 \cdot 10^{9}})}^{2}}}$
161705	Find the Holes in the Graph	f(x)=(-3x^2+75)/(5x^2+35x+50)	$f (x) = \frac{- 3 x^{2} + 75}{5 x^{2} + 35 x + 50}$
161706	Solve the System of Inequalities	4x-4<-12 or 4x-4>0	$4 x - 4 < - 12$ or $4 x - 4 > 0$
161707	Simplify	a^53b^96a	$a^{5} \cdot 3 b^{9} \cdot 6 a$
161708	Write in Standard Form	-5x^2+10+x-x^4	$- 5 x^{2} + 10 + x - x^{4}$
161709	Solve the Inequality for x	-12<=44+x	$- 12 \leq 44 + x$
161710	Simplify	(2x+7)/(x-6)-x/(x^2-3x-18)	$\frac{2 x + 7}{x - 6} - \frac{x}{x^{2} - 3 x - 18}$
161711	Evaluate	4/33.1410^3	$\frac{4}{3} \cdot 3.14 \cdot 10^{3}$
161712	Solve the System of Inequalities	x+7>=17 and x+7<19	$x + 7 \geq 17$ and $x + 7 < 19$
161713	Solve for d	-9d-4d-9d+9=-13	$- 9 d - 4 d - 9 d + 9 = - 13$
161714	Multiply	(x-y)(x+y)	$(x - y) (x + y)$
161715	Solve for n	d+3n=1	$d + 3 n = 1$
161716	Solve for d	4/3d=g	$\frac{4}{3} d = g$
161717	Solve for a	a=49/a	$a = \frac{49}{a}$
161718	Simplify	(12a^2-21a)/(12a^2-28a)	$\frac{12 a^{2} - 21 a}{12 a^{2} - 28 a}$
161719	Simplify	6y^4(-7xy)	$6 y^{4} (- 7 x y)$
161720	Simplify	6(2r+(-1))+1	$6 (2 r + (- 1)) + 1$
161721	Solve the Inequality for x	((x+4)(x-3))/((x-2)(x^2+2))>=0	$\frac{(x + 4) (x - 3)}{(x - 2) (x^{2} + 2)} \geq 0$
161722	Solve for k	4+k/2=-3	$4 + \frac{k}{2} = - 3$
161723	Solve for x	3x-5+x-1=7x-27	$3 x - 5 + x - 1 = 7 x - 27$
161724	Simplify	3/14 square root of 98	$\frac{3}{14} \sqrt{98}$
161725	Graph	x>=y	$x \geq y$
161726	Graph	f(x)=-(x-1)(x+2)(x+1)^2	$f (x) = - (x - 1) (x + 2) {(x + 1)}^{2}$
161727	Evaluate	13-0.75*12+8(1/2)	$13 - 0.75 \cdot 12 + 8 (\frac{1}{2})$
161728	Solve the System of Inequalities	17>3x+5 or 26<=3x+5	$17 > 3 x + 5$ or $26 \leq 3 x + 5$
161729	Solve the System of Equations	4x+y=16 2x+3y=-2	$4 x + y = 16$ $2 x + 3 y = - 2$
161730	Factor	2a^2x-5a^2y+15by-6bx	$2 a^{2} x - 5 a^{2} y + 15 b y - 6 b x$
161731	Simplify	(2x^2-8x)/(x-4)*(x+2)/(8x)	$\frac{2 x^{2} - 8 x}{x - 4} \cdot \frac{x + 2}{8 x}$
161732	Solve the System of Inequalities	2x+8<=6 or 16<2x+8	$2 x + 8 \leq 6$ or $16 < 2 x + 8$
161733	Simplify	4^-2*7^-2	$4^{- 2} \cdot 7^{- 2}$
161734	Combine Like Terms	-9(6m-3)+6(1+4m)	$- 9 (6 m - 3) + 6 (1 + 4 m)$
161735	Solve Using the Quadratic Formula	x=(-b+ square root of b^2-4ac)/(2a)	$x = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
161736	Solve by Factoring	x^2+x-48=3x	$x^{2} + x - 48 = 3 x$
161737	Simplify	square root of (y^7)/(y^21)	$\sqrt{\frac{y^{7}}{y^{21}}}$
161738	Solve for x	square root of 3x-5-3 square root of x=0	$\sqrt{3 x - 5} - 3 \sqrt{x} = 0$
161739	Evaluate	20x-(2x-(x+2)-(6-x^2)-(28+x+x^2))	$20 x - (2 x - (x + 2) - (6 - x^{2}) - (28 + x + x^{2}))$
161740	Simplify	cos(theta)*sec(theta)^2	$\cos (θ) \cdot \sec^{2} (θ)$
161741	Evaluate	7^3-2/3(136+9)4	$7^{3} - \frac{2}{3} (13 \cdot 6 + 9) \cdot 4$
161742	Simplify	7/(x-3)+(3x+1)/(x-5)	$\frac{7}{x - 3} + \frac{3 x + 1}{x - 5}$
161743	Evaluate	(sin(x)+cos(x))^2	${(\sin (x) + \cos (x))}^{2}$
161744	Solve the Inequality for x	x^2-4x<0	$x^{2} - 4 x < 0$
161745	Simplify	10(8x+2y)+y-3(y-5x)	$10 (8 x + 2 y) + y - 3 (y - 5 x)$
161746	Solve for C	12x^5=(4x^2)(C)	$12 x^{5} = (4 x^{2}) (C)$
161747	Solve the System of Inequalities	10>=4x-10 or 22<=4x-10	$10 \geq 4 x - 10$ or $22 \leq 4 x - 10$
161748	Graph	-4x<=6y-54	$- 4 x \leq 6 y - 54$
161749	Solve for v	h=vt-gt^2	$h = v t - g t^{2}$
161750	Write in Slope-Intercept Form	-x+3y>6	$- x + 3 y > 6$
161751	Solve the Inequality for x	2x+4>=24	$2 x + 4 \geq 24$
161752	Solve the System of Inequalities	2x-7<-11 or 2x-7>=5	$2 x - 7 < - 11$ or $2 x - 7 \geq 5$
161753	Solve for x	x^2-2x-5=-2	$x^{2} - 2 x - 5 = - 2$
161754	Solve the Inequality for x	5/(x-3)>3/(x+1)	$\frac{5}{x - 3} > \frac{3}{x + 1}$
161755	Simplify	-1/(6(1/(6x)))	$- \frac{1}{6 (\frac{1}{6 x})}$
161756	Solve for b	-10=-b/4	$- 10 = - \frac{b}{4}$
161757	Solve the System of Inequalities	5x-9<-14 or 11<5x-9	$5 x - 9 < - 14$ or $11 < 5 x - 9$
161758	Evaluate	pi+2pi	$π + 2 π$
161759	Solve for x	3/(x+1)=7/(3x-3)	$\frac{3}{x + 1} = \frac{7}{3 x - 3}$
161760	Find the Function	f(x)=-2x	$f (x) = - 2 x$
161761	Solve the System of Equations	12x-5y=-20 y=x+4	$12 x - 5 y = - 20$ $y = x + 4$
161762	Solve for j	-2j+10j-4j+6j=10	$- 2 j + 10 j - 4 j + 6 j = 10$
161763	Convert to Yards	60.4m	$60.4 m$
161764	Solve for θ	cot(theta)+ square root of 3=0	$\cot (θ) + \sqrt{3} = 0$
161765	Solve for x	(3x)/2-5=-2x+2	$\frac{3 x}{2} - 5 = - 2 x + 2$
161766	Simplify	-n+(-4)-(-4n)+6	$- n + (- 4) - (- 4 n) + 6$
161767	Find the Holes in the Graph	f(x)=((x+2)(x+1)^3)/((x+2)(x-3)^2)	$f (x) = \frac{(x + 2) {(x + 1)}^{3}}{(x + 2) {(x - 3)}^{2}}$
161768	Solve the System of Inequalities	2r+3<7 or -r+9<=2	$2 r + 3 < 7$ or $- r + 9 \leq 2$
161769	Find the Exact Value	square root of 8	$\sqrt{8}$
161770	Simplify	-4/(3n^4)+(5n-6)/(3n^4)	$\frac{- 4}{3 n^{4}} + \frac{5 n - 6}{3 n^{4}}$
161771	Factor	x^2y-y^2	$x^{2} y - y^{2}$
161772	Solve the System of Inequalities	-6<=-3x-3 or -15>-3x-3	$- 6 \leq - 3 x - 3$ or $- 15 > - 3 x - 3$
161773	Find the Exact Value	log base 2 of 1/2	$\log_{2} (\frac{1}{2})$
161774	Solve for x	4 natural log of x-8=12	$4 \ln (x) - 8 = 12$
161775	Solve for x	-17+5x=5(x-5)+8	$- 17 + 5 x = 5 (x - 5) + 8$
161776	Find the Intersection of the Line Perpendicular to Plane 1 Through the Origin and Plane 2	7x-y=-4 , 3x-y=0	$7 x - y = - 4$ , $3 x - y = 0$
161777	Solve for x	-2x-10x+12=18	$- 2 x - 10 x + 12 = 18$
161778	Factor by Grouping	a^2x^2-3bx^2+a^2y^2-3by^2	$a^{2} x^{2} - 3 b x^{2} + a^{2} y^{2} - 3 b y^{2}$
161779	Graph Using a Table of Values	y=2^(-x)	$y = 2^{- x}$
161780	Solve the Absolute Value Inequality for x	\|x\|<2	$\| x \| < 2$
161781	Factor	16x^3y^2-8x^2y-24x^4y^2-40x^2y^3	$16 x^{3} y^{2} - 8 x^{2} y - 24 x^{4} y^{2} - 40 x^{2} y^{3}$
161782	Factor	x^4y^4-y^5	$x^{4} y^{4} - y^{5}$
161783	Divide	(3/10)÷(2/4)	$\frac{3}{10} \div \frac{2}{4}$
161784	Find the Domain and Range	f^-1(x)=x^2+2	$f^{- 1} (x) = x^{2} + 2$
161785	Solve for P₂	(P_1V_1)/T_1=(P_2V_2)/T_2	$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
161786	Solve for θ	cot(theta)-1=0	$\cot (θ) - 1 = 0$
161787	Solve for k	6/(2k-6)=3	$\frac{6}{2 k - 6} = 3$
161788	Find the Holes in the Graph	f(x)=(-x^2+2x+8)/(2x^2-16x+32)	$f (x) = \frac{- x^{2} + 2 x + 8}{2 x^{2} - 16 x + 32}$
161789	Graph	y=-(-x)^3	$y = - {(- x)}^{3}$
161790	Simplify	(10+7r-r^2)+(-6r^2-18+5r)	$(10 + 7 r - r^{2}) + (- 6 r^{2} - 18 + 5 r)$
161791	Simplify	(3x^2)/(9x^3+9x^2)	$\frac{3 x^{2}}{9 x^{3} + 9 x^{2}}$
161792	Find the Inverse	F(x)=(2x-1)/(x+3)	$F (x) = \frac{2 x - 1}{x + 3}$
161793	Solve for b	t=5/6b	$t = \frac{5}{6} b$
161794	Solve for h	A=h/2(a+b)	$A = \frac{h}{2} (a + b)$
161795	Solve for x	-1/4(x+2)+5=-x	$- \frac{1}{4} (x + 2) + 5 = - x$
161796	Solve for x	2/3(cx+1/2)-1/4=5/2	$\frac{2}{3} (c x + \frac{1}{2}) - \frac{1}{4} = \frac{5}{2}$
161797	Solve the System of Inequalities	-60<5x-10 and 5x-10<=25	$- 60 < 5 x - 10$ and $5 x - 10 \leq 25$
161798	Solve the Inequality for x	x^2+x-2>=0	$x^{2} + x - 2 \geq 0$
161799	Simplify	(5x+7)/(x-4)-(3x)/(x^2-9x+20)	$\frac{5 x + 7}{x - 4} - \frac{3 x}{x^{2} - 9 x + 20}$
161800	Write in Exponential Form	(4^6)(4^5)	$(4^{6}) (4^{5})$