Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195501	Solve for x	(x^2+4)/(x^2-4)+x/(2-x)=2/(x+2)	$\frac{x^{2} + 4}{x^{2} - 4} + \frac{x}{2 - x} = \frac{2}{x + 2}$
195502	Solve for x	2=0.1x+e^(0.25x)	$2 = 0.1 x + e^{0.25 x}$
195503	Solve the Inequality for x	5(3-x)<-2x+6 ?	$5 (3 - x) < - 2 x + 6$ ?
195504	Solve for x	9x+2(x-3)=30	$9 x + 2 (x - 3) = 30$
195505	Evaluate	64+29/3	$6 \cdot 4 + 2 \cdot \frac{9}{3}$
195506	Simplify	7^(1/3)*49^(1/3)	$7^{\frac{1}{3}} \cdot 49^{\frac{1}{3}}$
195507	Solve for x	1/2x+3/2(x+1)-1/4=5 ?	$\frac{1}{2} x + \frac{3}{2} (x + 1) - \frac{1}{4} = 5$ ?
195508	Solve for b	3x^3+6x^2-24x=ax(x+b)(x+c)	$3 x^{3} + 6 x^{2} - 24 x = a x (x + b) (x + c)$
195509	Solve for y	-y+2(4+y)=27	$- y + 2 (4 + y) = 27$
195510	Solve Using the Quadratic Formula	x=(-(-4)+- square root of (-4)^2-411)/(2(1))	$x = \frac{- (- 4) + - \sqrt{{(- 4)}^{2} - 4 \cdot 1 \cdot 1}}{2 (1)}$
195511	Multiply	-i*(-i)	$- i \cdot (- i)$
195512	Evaluate	sin(2(pi/4))	$\sin (2 (\frac{π}{4}))$
195513	Graph	f(x)=1/2 log of x	$f (x) = \frac{1}{2} \log (x)$
195514	Solve Over the Interval	2sin(theta)^2+sin(theta)-1=0 , [0,2pi)	$2 \sin^{2} (θ) + \sin (θ) - 1 = 0$ , $[0, 2 π)$
195515	Simplify	(1/(3a^3))^-4	${(\frac{1}{3 a^{3}})}^{- 4}$
195516	Simplify	x(x-2y)-(y-x)*2	$x (x - 2 y) - (y - x) \cdot 2$
195517	Solve for d	p/d=q+r/d	$\frac{p}{d} = q + \frac{r}{d}$
195518	Simplify	(12x^3y^4z^5)/(32xy^2z)	$\frac{12 x^{3} y^{4} z^{5}}{32 x y^{2} z}$
195519	Divide	(1/3)÷(6/9)	$\frac{1}{3} \div \frac{6}{9}$
195520	Find the Degree	2a^2b-6a+3b	$2 a^{2} b - 6 a + 3 b$
195521	Solve for x	1+2/(x-7)=(3x+7)/(x^2-49)	$1 + \frac{2}{x - 7} = \frac{3 x + 7}{x^{2} - 49}$
195522	Solve for x	4/(x+3)+x/(x-3)=(5x+3)/(x^2-9)	$\frac{4}{x + 3} + \frac{x}{x - 3} = \frac{5 x + 3}{x^{2} - 9}$
195523	Solve for T	k=PRT	$k = P R T$
195524	Solve for x	square root of x+7+ square root of x=3	$\sqrt{x + 7} + \sqrt{x} = 3$
195525	Factor	a^2-24x^2a^3+144x^4a^4	$a^{2} - 24 x^{2} a^{3} + 144 x^{4} a^{4}$
195526	Find the Midpoint	(-4/3,1/3) and (-8/3,-7/3)	$(- \frac{4}{3}, \frac{1}{3})$ and $(- \frac{8}{3}, - \frac{7}{3})$
195527	Simplify	-2x^2-6x+10 from -2x^2+9	$- 2 x^{2} - 6 x + 10$ from $- 2 x^{2} + 9$
195528	Solve for x	2-x^2=-x	$2 - x^{2} = - x$
195529	Write in Slope-Intercept Form	3x+2y>-2	$3 x + 2 y > - 2$
195530	Evaluate	(7*5)÷5	$(7 \cdot 5) \div 5$
195531	Solve for x	log of 10/x=2-2 log of x	$\log (\frac{10}{x}) = 2 - 2 \log (x)$
195532	Evaluate	-(-6+4(2-5(4-3(4-3)+2(7-3)))+2)-1	$- (- 6 + 4 (2 - 5 (4 - 3 (4 - 3) + 2 (7 - 3))) + 2) - 1$
195533	Divide	28x^3+42x^2-35x by 7x	$28 x^{3} + 42 x^{2} - 35 x$ by $7 x$
195534	Solve for x	4x=32-x^2	$4 x = 32 - x^{2}$
195535	Solve the Inequality for x	(5-(9-4x))/-2<-5	$\frac{5 - (9 - 4 x)}{- 2} < - 5$
195536	Simplify	-(4n^2)/( square root of 3n^4+ square root of 3n^3)	$- \frac{4 n^{2}}{\sqrt{3 n^{4}} + \sqrt{3 n^{3}}}$
195537	Solve for k	9k+7>=10k-1	$9 k + 7 \geq 10 k - 1$
195538	Simplify	(i^4 square root of 6)^2*(-4i)^3	${(i^{4} \sqrt{6})}^{2} \cdot {(- 4 i)}^{3}$
195539	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-(x+1)^2(2x-3)(x+2)^2	$f (x) = - {(x + 1)}^{2} (2 x - 3) {(x + 2)}^{2}$
195540	Find the Exact Value	1-2sin(67.5 degrees )^2	$1 - 2 \sin^{2} (67.5 °)$
195541	Divide	(-9/11)÷(-3/2)	$- \frac{9}{11} \div (- \frac{3}{2})$
195542	Write in Standard Form	3y^2+8x+24y+40=0	$3 y^{2} + 8 x + 24 y + 40 = 0$
195543	Find the Domain and Range	y=-(x+6)(x-4)	$y = - (x + 6) (x - 4)$
195544	Solve for x	-2x+3y>=3	$- 2 x + 3 y \geq 3$
195545	Solve the Inequality for x	x^3+x^2+9x+9>0	$x^{3} + x^{2} + 9 x + 9 > 0$
195546	Solve for x	-5x+5>=160-10x	$- 5 x + 5 \geq 160 - 10 x$
195547	Evaluate	3*3^2+8÷2-(4+3)	$3 \cdot 3^{2} + 8 \div 2 - (4 + 3)$
195548	Solve the Inequality for q	7q-5<=10q+19	$7 q - 5 \leq 10 q + 19$
195549	Multiply	(6a^3b^2-7a^2b^3+4ab^5)(4a^5b^2)	$(6 a^{3} b^{2} - 7 a^{2} b^{3} + 4 a b^{5}) (4 a^{5} b^{2})$
195550	Graph	2x^2-4x-30<=0	$2 x^{2} - 4 x - 30 \leq 0$
195551	Solve for x	9(x+1/7)=18	$9 (x + \frac{1}{7}) = 18$
195552	Solve for x	(4.5x+x)/2=22	$\frac{4.5 x + x}{2} = 22$
195553	Multiply	x^2(x-1)	$x^{2} (x - 1)$
195554	Multiply	(3p-2q+5)(3p-2q-5)	$(3 p - 2 q + 5) (3 p - 2 q - 5)$
195555	Solve the System of Inequalities	y>=x^2+6x+10 y<-x^2-8x-14	$y \geq x^{2} + 6 x + 10$ $y < - x^{2} - 8 x - 14$
195556	Solve for p	2-9\|p+7\|>-16	$2 - 9 \| p + 7 \| > - 16$
195557	Subtract	(5x+2y)-(7x-y)	$(5 x + 2 y) - (7 x - y)$
195558	Solve for x	3x+2(4x+2)<=2(6x+1)	$3 x + 2 (4 x + 2) \leq 2 (6 x + 1)$
195559	Solve for x	(3x)/4=5x+y-6	$\frac{3 x}{4} = 5 x + y - 6$
195560	Simplify	(-5b^2-8b)-(-9b^3-5b^2-8b)	$(- 5 b^{2} - 8 b) - (- 9 b^{3} - 5 b^{2} - 8 b)$
195561	Solve the Inequality for x	(3x)/(x-1)<=x/(x+4)+3	$\frac{3 x}{x - 1} \leq \frac{x}{x + 4} + 3$
195562	Multiply	3/84 3/64	$\frac{3}{8} \cdot 4 \frac{3}{6} \cdot 4$
195563	Divide	((2x^3)/(x+5))÷((x-5)/(3x-1))	$\frac{2 x^{3}}{x + 5} \div \frac{x - 5}{3 x - 1}$
195564	Solve the Inequality for m	(2m+3)/2-17/4<(m+2)/8	$\frac{2 m + 3}{2} - \frac{17}{4} < \frac{m + 2}{8}$
195565	Multiply	(x+y+z)(x+y-z)	$(x + y + z) (x + y - z)$
195566	Solve for h	v=iwh	$v = i w h$
195567	Evaluate	((12-2)^2)÷(6*4-7^2)	${(12 - 2)}^{2} \div (6 \cdot 4 - 7^{2})$
195568	Write in Standard Form	(x-5)^2=-8(y+1)	${(x - 5)}^{2} = - 8 (y + 1)$
195569	Find the Complex Conjugate	(3+2i)(3-2i)	$(3 + 2 i) (3 - 2 i)$
195570	Simplify	(( square root of 3)/5-( square root of 2)/5i)^2	${(\frac{\sqrt{3}}{5} - \frac{\sqrt{2}}{5} i)}^{2}$
195571	Graph	y<x-2 and y>x+1	$y < x - 2$ and $y > x + 1$
195572	Simplify	2(2x^2+1)^2+1	$2 {(2 x^{2} + 1)}^{2} + 1$
195573	Reduce	f(x)=((x+2)(x+1)^3)/((x+2)(x-3)^2)	$f (x) = \frac{(x + 2) {(x + 1)}^{3}}{(x + 2) {(x - 3)}^{2}}$
195574	Graph	sin(theta)<0 and tan(theta)>0	$\sin (θ) < 0$ and $\tan (θ) > 0$
195575	Evaluate	-2(2/5)^2	$- 2 {(\frac{2}{5})}^{2}$
195576	Simplify	9-3m+2(m^2-3m)	$9 - 3 m + 2 (m^{2} - 3 m)$
195577	Find the Holes in the Graph	f(x)=(x^3-16x)/(-4x^2+4x+24)	$f (x) = \frac{x^{3} - 16 x}{- 4 x^{2} + 4 x + 24}$
195578	Evaluate	2((-2+-3)/5)	$2 (\frac{- 2 + - 3}{5})$
195579	Divide	(4/(3x^5))÷(12/(5x^7))	$\frac{4}{3 x^{5}} \div \frac{12}{5 x^{7}}$
195580	Solve for x	(2x)/(x-1)+7/(x-7)=x/(x-7)	$\frac{2 x}{x - 1} + \frac{7}{x - 7} = \frac{x}{x - 7}$
195581	Solve the System of Equations	1/2a+b=-2 a-2b=8	$\frac{1}{2} a + b = - 2$ $a - 2 b = 8$
195582	Find the Exponential Function	(2,-12) and (3,-24)	$(2, - 12)$ and $(3, - 24)$
195583	Solve for x	(x+5)/(x^2+x)=1/(x^2+x)-(x-6)/(x+1)	$\frac{x + 5}{x^{2} + x} = \frac{1}{x^{2} + x} - \frac{x - 6}{x + 1}$
195584	Graph	y=(x+1)(x-3)(x^2+1)	$y = (x + 1) (x - 3) (x^{2} + 1)$
195585	Simplify	((125x^4y^(3/2))^(1/3))÷((xy)^(1/2))	${(125 x^{4} y^{\frac{3}{2}})}^{\frac{1}{3}} \div {(x y)}^{\frac{1}{2}}$
195586	Evaluate	(8x^2+8x)-(-9x^2+8x)	$(8 x^{2} + 8 x) - (- 9 x^{2} + 8 x)$
195587	Graph Using a Table of Values	f(x)=-5(x+7)	$f (x) = - 5 (x + 7)$
195588	Solve the Inequality for x	-x^2+1>0	$- x^{2} + 1 > 0$
195589	Evaluate	-3(3/5)^2	$- 3 {(\frac{3}{5})}^{2}$
195590	Find the Distance Between Two Points	(1,3) and (5,6)	$(1, 3)$ and $(5, 6)$
195591	Convert to Interval Notation	x<=-11 or x>=5	$x \leq - 11$ or $x \geq 5$
195592	Solve the Inequality for x	-2+x/7<-1	$- 2 + \frac{x}{7} < - 1$
195593	Solve Using the Quadratic Formula	-6=x^2+4x-1	$- 6 = x^{2} + 4 x - 1$
195594	Simplify	6-3(5-3)+4(8+6-2(10-3))	$6 - 3 (5 - 3) + 4 (8 + 6 - 2 (10 - 3))$
195595	Solve for x	1-(2x-5)/6=(3-x)/4	$1 - \frac{2 x - 5}{6} = \frac{3 - x}{4}$
195596	Find the Distance Between Two Points	(4,-3) and (-1,-9)	$(4, - 3)$ and $(- 1, - 9)$
195597	Simplify	(4x^5y^3*3x^8y^7)/(6x^4y^10)	$\frac{4 x^{5} y^{3} \cdot 3 x^{8} y^{7}}{6 x^{4} y^{10}}$
195598	Multiply	(t+3)/(t^2-14t+49)*(t^2-2t-35)/(t+5)	$\frac{t + 3}{t^{2} - 14 t + 49} \cdot \frac{t^{2} - 2 t - 35}{t + 5}$
195599	Solve the System of Inequalities	3x<6 and x+3>=14	$3 x < 6$ and $x + 3 \geq 14$
195600	Multiply	(3+3i)(-9+7i)(7-i)	$(3 + 3 i) \cdot (- 9 + 7 i) \cdot (7 - i)$