Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
169501	Graph	y<=x^2+4	$y \leq x^{2} + 4$
169502	Solve for x	-3/5+x=12/5	$- \frac{3}{5} + x = \frac{12}{5}$
169503	Solve the Inequality for v	17v>=51	$17 v \geq 51$
169504	Solve the Inequality for x	(2x+5)/(x^2+2x-35)>=0	$\frac{2 x + 5}{x^{2} + 2 x - 35} \geq 0$
169505	Find the Axis of Symmetry	(x^2)/25+(y^2)/16=1	$\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$
169506	Solve for x	3x(x-4)(3x+5)=0	$3 x (x - 4) (3 x + 5) = 0$
169507	Solve for x	(2x-10)/4=3x	$\frac{2 x - 10}{4} = 3 x$
169508	Find the Domain and Range	x=\|y\|	$x = \| y \|$
169509	Evaluate	cos(x)+sin(x)tan(x)	$\cos (x) + \sin (x) \tan (x)$
169510	Evaluate	(x^2+2)^2	${(x^{2} + 2)}^{2}$
169511	Solve for r	9+r/6=7	$9 + \frac{r}{6} = 7$
169512	Simplify	(x^7x^3)/(y^-3y^-8)	$\frac{x^{7} x^{3}}{y^{- 3} y^{- 8}}$
169513	Evaluate	7(-4)-\|-6\|+\|4\|	$7 (- 4) - \| - 6 \| + \| 4 \|$
169514	Simplify	4x+(x-(2x-3))-(5-2(1-x))	$4 x + (x - (2 x - 3)) - (5 - 2 (1 - x))$
169515	Simplify	7/(4x^3)*(10x)/(2x)	$\frac{7}{4 x^{3}} \cdot \frac{10 x}{2 x}$
169516	Divide Using Long Polynomial Division	(-7x^4+20x^2+10+5x^3)÷(-x^2+x+3)	$(- 7 x^{4} + 20 x^{2} + 10 + 5 x^{3}) \div (- x^{2} + x + 3)$
169517	Simplify	(x^-7*x^3)/(x^5)	$\frac{x^{- 7} \cdot x^{3}}{x^{5}}$
169518	Write in Exponential Form	log base (x-2) of x^2-4x-6=4/5	$\log_{(x - 2)} (x^{2} - 4 x - 6) = \frac{4}{5}$
169519	Solve for x	-2+1/(x+7)=-x/(x+7)	$- 2 + \frac{1}{x + 7} = - \frac{x}{x + 7}$
169520	Evaluate	4*(2+5)^2-5^2	$4 \cdot {(2 + 5)}^{2} - 5^{2}$
169521	Find the Exact Value	1/3+2/5	$\frac{1}{3} + \frac{2}{5}$
169522	Solve the Inequality for x	6x-11-13x<7-5x	$6 x - 11 - 13 x < 7 - 5 x$
169523	Solve for x	2/(x+2)=8/(2x+6)	$\frac{2}{x + 2} = \frac{8}{2 x + 6}$
169524	Solve the Inequality for p	5>=2p+1	$5 \geq 2 p + 1$
169525	Solve for b	a^(b/4)=16	$a^{\frac{b}{4}} = 16$
169526	Factor	12y^5z^4-30x^3yz^5	$12 y^{5} z^{4} - 30 x^{3} y z^{5}$
169527	Solve for θ	cos(theta)^2=1/4	$\cos^{2} (θ) = \frac{1}{4}$
169528	Solve for t	t(t+5)=0	$t (t + 5) = 0$
169529	Simplify	(9x^3)/(5x+1)-(8x^3)/(5x+1)	$\frac{9 x^{3}}{5 x + 1} - \frac{8 x^{3}}{5 x + 1}$
169530	Solve the Inequality for b	-1.2b-5.3>=1.9	$- 1.2 b - 5.3 \geq 1.9$
169531	Find the Quotient	(x^3+8)÷(x+2)	$(x^{3} + 8) \div (x + 2)$
169532	Find the Holes in the Graph	f(x)=(x-11)/(x^2-121)	$f (x) = \frac{x - 11}{x^{2} - 121}$
169533	Graph	y=-e^(x+1)	$y = - e^{x + 1}$
169534	Simplify	2x-5-(x-8)/(x+4)	$2 x - 5 - \frac{x - 8}{x + 4}$
169535	Solve for h	-3/4-h+1/3h-2=-4/3h-3	$- \frac{3}{4} - h + \frac{1}{3} h - 2 = - \frac{4}{3} h - 3$
169536	Solve for x	9^(x^2)=3^(x+3)	$9^{x^{2}} = 3^{x + 3}$
169537	Simplify	(2*6)^(3/2)	${(2 \cdot 6)}^{\frac{3}{2}}$
169538	Evaluate	4/3*pi	$\frac{4}{3} \cdot π$
169539	Factor	y=-4x^3-4x^2+120x	$y = - 4 x^{3} - 4 x^{2} + 120 x$
169540	Write in Exponential Form	((3^5)^2)/(3^-2)	$\frac{{(3^{5})}^{2}}{3^{- 2}}$
169541	Simplify	(- square root of -32)( square root of -14)	$(- \sqrt{- 32}) (\sqrt{- 14})$
169542	Solve for x	(2(5-x))/8=x+5	$\frac{2 (5 - x)}{8} = x + 5$
169543	Solve for x	3x+4(x+1)=x+2(x+3)	$3 x + 4 (x + 1) = x + 2 (x + 3)$
169544	Solve for x	6=x square root of 2	$6 = x \sqrt{2}$
169545	Solve for x	x^2+x=4	$x^{2} + x = 4$
169546	Solve for a	-18=-8a	$- 18 = - 8 a$
169547	Factor	11yz^7-33x^4y^4z^3	$11 y z^{7} - 33 x^{4} y^{4} z^{3}$
169548	Evaluate	x-(2x+1)=8-(3x+3)	$x - (2 x + 1) = 8 - (3 x + 3)$
169549	Simplify	(x^2-4)/(5ax+10a)	$\frac{x^{2} - 4}{5 a x + 10 a}$
169550	Solve for a	c(a+b)-d=f	$c (a + b) - d = f$
169551	Graph	4/9x-10>x/3-12	$\frac{4}{9} x - 10 > \frac{x}{3} - 12$
169552	Simplify	(6 square root of -4)( square root of -1)	$(6 \sqrt{- 4}) (\sqrt{- 1})$
169553	Solve for a	(ax+3)(5x^2-bx+4)=20x^3-9x^2-2x+12	$(a x + 3) (5 x^{2} - b x + 4) = 20 x^{3} - 9 x^{2} - 2 x + 12$
169554	Divide	1 1/2÷(3/4)	$1 \frac{1}{2} \div \frac{3}{4}$
169555	Find the Exact Value	log base 1/2 of 8	$\log_{\frac{1}{2}} (8)$
169556	Simplify	(6-x-x^2)/(x^2-9)	$\frac{6 - x - x^{2}}{x^{2} - 9}$
169557	Write in Standard Form	y=8(x+1)^2-8	$y = 8 {(x + 1)}^{2} - 8$
169558	Combine Like Terms	-5+2x^3+2x^3-3+4x^2-2x^2-x^3	$- 5 + 2 x^{3} + 2 x^{3} - 3 + 4 x^{2} - 2 x^{2} - x^{3}$
169559	Simplify	square root of 5* square root of 10	$\sqrt{5} \times \sqrt{10}$
169560	Find the x and y Intercepts	f(x)=(5x^2-10x)/(4x-8)	$f (x) = \frac{5 x^{2} - 10 x}{4 x - 8}$
169561	Simplify	(15a^6bc^4)/(35a^2c^4)	$\frac{15 a^{6} b c^{4}}{35 a^{2} c^{4}}$
169562	Write in Slope-Intercept Form	m=-3/4 , (-2,4)	$m = - \frac{3}{4}$ , $(- 2, 4)$
169563	Combine Like Terms	5y-5y^2-5+2+2y+3y^2-1	$5 y - 5 y^{2} - 5 + 2 + 2 y + 3 y^{2} - 1$
169564	Graph	g(x)=-1/4(x+3)^2	$g (x) = - \frac{1}{4} {(x + 3)}^{2}$
169565	Describe the Transformation	y=-2\|x\|	$y = - 2 \| x \|$
169566	Simplify	(2x)(x^2)+(2x)(x)+(2x)(-2)+(3)(x^2)+(3)(x)+(3)(-2)	$(2 x) (x^{2}) + (2 x) (x) + (2 x) (- 2) + (3) (x^{2}) + (3) (x) + (3) (- 2)$
169567	Convert to Polar	x^2+(y-2)^2=4	$x^{2} + {(y - 2)}^{2} = 4$
169568	Simplify	x^2 square root of x^2	$x^{2} \sqrt{x^{2}}$
169569	Solve the System of Inequalities	-2<=(3x-1)/8<=0	$- 2 \leq \frac{3 x - 1}{8} \leq 0$
169570	Factor	-13y^2z^3-7xy^3z^2	$- 13 y^{2} z^{3} - 7 x y^{3} z^{2}$
169571	Simplify	(x^-7)/(x^6*x^-5)	$\frac{x^{- 7}}{x^{6} \cdot x^{- 5}}$
169572	Find the Domain and Range	y=x^-2	$y = x^{- 2}$
169573	Evaluate	(-1/2)÷(( square root of 3)/2)	$- \frac{1}{2} \div \frac{\sqrt{3}}{2}$
169574	Graph	6x>=3+4(2x-1)	$6 x \geq 3 + 4 (2 x - 1)$
169575	Solve for s	V=s^3	$V = s^{3}$
169576	Find the x and y Intercepts	f(x)=(-3x^2+21x-36)/(5x-20)	$f (x) = \frac{- 3 x^{2} + 21 x - 36}{5 x - 20}$
169577	Solve for b	a/b=c for b	$\frac{a}{b} = c$ for $b$
169578	Solve for t	2/3t-1/5t=2	$\frac{2}{3} t - \frac{1}{5} t = 2$
169579	Solve the Absolute Value Inequality for r	\|-3r\|=9	$\| - 3 r \| = 9$
169580	Find All Complex Solutions	4sin(theta)+3=1	$4 \sin (θ) + 3 = 1$
169581	Solve for x	(x-1)/(x-4)=(x+1)/(x-2)	$\frac{x - 1}{x - 4} = \frac{x + 1}{x - 2}$
169582	Graph	18>=5k+4k	$18 \geq 5 k + 4 k$
169583	Combine Like Terms	x^2+4+5y^3+2x^2-2x^2-6+1	$x^{2} + 4 + 5 y^{3} + 2 x^{2} - 2 x^{2} - 6 + 1$
169584	Solve for x	pi=(2pi)/x	$π = \frac{2 π}{x}$
169585	Solve for x	c(x+2)-5=b(x-3)	$c (x + 2) - 5 = b (x - 3)$
169586	Combine Like Terms	-5y^3+3y^3+5x^3-3y^3+x^3-2y^2+3y^2	$- 5 y^{3} + 3 y^{3} + 5 x^{3} - 3 y^{3} + x^{3} - 2 y^{2} + 3 y^{2}$
169587	Solve the Inequality for x	3<9+x	$3 < 9 + x$
169588	Solve the Absolute Value Inequality for n	5\|9-5n\|-7=38	$5 \| 9 - 5 n \| - 7 = 38$
169589	Solve the Inequality for x	x^2<36	$x^{2} < 36$
169590	Solve the System of Equations	(x+1)/10=(y-4)/5 (x-4)/5=(y-2)/10	$\frac{x + 1}{10} = \frac{y - 4}{5}$ $\frac{x - 4}{5} = \frac{y - 2}{10}$
169591	Solve the System of Equations	-5x+9y=11 x-3y=-7	$- 5 x + 9 y = 11$ $x - 3 y = - 7$
169592	Graph	(-3,-pi/3)	$(- 3, - \frac{π}{3})$
169593	Solve the Inequality for x	x^2-5<=0	$x^{2} - 5 \leq 0$
169594	Simplify	(10c^6d^-5)(2c^-5d^4)	$(10 c^{6} d^{- 5}) (2 c^{- 5} d^{4})$
169595	Solve for x	2+\|5+4x\|=11	$2 + \| 5 + 4 x \| = 11$
169596	Simplify	(5x(x^2+4x+3))/((x-6)(x^2-9))	$\frac{5 x (x^{2} + 4 x + 3)}{(x - 6) (x^{2} - 9)}$
169597	Solve for x	-1/4(2x+8)=-6	$- \frac{1}{4} (2 x + 8) = - 6$
169598	Solve for x	fourth root of 2x-6=2	$\sqrt[4]{2 x - 6} = 2$
169599	Solve the System of Equations	7x-2y=-12 -x+2y=0	$7 x - 2 y = - 12$ $- x + 2 y = 0$
169600	Find the Function	f(x)=x^2-3x+2	$f (x) = x^{2} - 3 x + 2$