Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190501	Graph	f(x)=(14x^4+ax^2+b)/(7x^4+cx^2+d)	$f (x) = \frac{14 x^{4} + a x^{2} + b}{7 x^{4} + c x^{2} + d}$
190502	Determine if Perpendicular	5x-10y=20 y=-2x+6	$5 x - 10 y = 20$ $y = - 2 x + 6$
190503	Simplify	cube root of 54x+3 cube root of 2x	$\sqrt[3]{54 x} + 3 \sqrt[3]{2 x}$
190504	Solve the System of Equations	2x+7y=3 x=-4y	$2 x + 7 y = 3$ $x = - 4 y$
190505	Find the Inverse	F(x) = fifth root of x-3	$F (x) = \sqrt[5]{x} - 3$
190506	Simplify	(1/(2x))^2	${(\frac{1}{2 x})}^{2}$
190507	Simplify	4^4(4^-7)(4)	$4^{4} (4^{- 7}) (4)$
190508	Solve the Inequality for x	-4<=2x-6<=12	$- 4 \leq 2 x - 6 \leq 12$
190509	Factor	49pm^2-7pm^4	$49 p m^{2} - 7 p m^{4}$
190510	Solve the Inequality for a	16-4a>8	$16 - 4 a > 8$
190511	Find the Domain and Range	y = natural log of (-x+3)/2	$y = \ln (\frac{- x + 3}{2})$ ?
190512	Solve for a	( fifth root of x^6)/((x^2)^(2/5))=x^a	$\frac{\sqrt[5]{x^{6}}}{{(x^{2})}^{\frac{2}{5}}} = x^{a}$
190513	Multiply	(5m^4-3m^2+6)y(-3m+2)	$(5 m^{4} - 3 m^{2} + 6) y (- 3 m + 2)$
190514	Find the Equation Using Point-Slope Formula	(1,0) and (6,-3)	$(1, 0)$ and $(6, - 3)$
190515	Multiply	(a-1)/(3a+1)*(3a+1)/(a+1)	$\frac{a - 1}{3 a + 1} \cdot \frac{3 a + 1}{a + 1}$
190516	Solve the Inequality for x	(x+3)/(x+4)<0	$\frac{x + 3}{x + 4} < 0$
190517	Solve for x	2x(2x+1)(x^2-16)=0	$2 x (2 x + 1) (x^{2} - 16) = 0$
190518	Solve for x	3/4x-2/7=3/2x+3/14	$\frac{3}{4} x - \frac{2}{7} = \frac{3}{2} x + \frac{3}{14}$
190519	Graph	y=kx-3	$y = k x - 3$
190520	Simplify	(4x^-12y^-4)^(5/2)	${(4 x^{- 12} y^{- 4})}^{\frac{5}{2}}$
190521	Multiply	x+1*x-1	$x + 1 \cdot x - 1$
190522	Solve for θ	sin(theta)-1=cos(theta)	$\sin (θ) - 1 = \cos (θ)$
190523	Solve for g	5g-2<=3g+8	$5 g - 2 \leq 3 g + 8$
190524	Solve for x	-5\|2-2x\|=-50	$- 5 \| 2 - 2 x \| = - 50$
190525	Solve for x	-2x^3+14x^2-8x+56=0	$- 2 x^{3} + 14 x^{2} - 8 x + 56 = 0$
190526	Solve for w	4w(w-3)=24	$4 w (w - 3) = 24$
190527	Multiply	(9+m)(-m+9)	$(9 + m) (- m + 9)$
190528	Solve for x	2^x<8	$2^{x} < 8$
190529	Solve for θ	sin(theta)^2=5(cos(theta)+1)	$\sin^{2} (θ) = 5 (\cos (θ) + 1)$
190530	Solve the Inequality for x	(x^2+16)(x-1)(x+2)>=0	$(x^{2} + 16) (x - 1) (x + 2) \geq 0$
190531	Simplify	((2-i)(1+2i))/(5+2i)	$\frac{(2 - i) (1 + 2 i)}{5 + 2 i}$
190532	Graph	f(x)=(x^2-x)/(x-1)	$f (x) = \frac{x^{2} - x}{x - 1}$
190533	Simplify	(187+6z-z^2)/(z^2-21z+68)	$\frac{187 + 6 z - z^{2}}{z^{2} - 21 z + 68}$
190534	Find the End Behavior	f(x)=-546x-882-102x^2-6x^3	$f (x) = - 546 x - 882 - 102 x^{2} - 6 x^{3}$
190535	Solve for n	n^2+100=19	$n^{2} + 100 = 19$
190536	Find g(f(x))	f(x)=1/(2x) g(x)=1/(2x)	$f (x) = \frac{1}{2 x}$ $g (x) = \frac{1}{2 x}$
190537	Factor	150m^2n^2-240mn^6-360m^3n^2	$150 m^{2} n^{2} - 240 m n^{6} - 360 m^{3} n^{2}$
190538	Subtract	-8 3/8-10 1/6	$- 8 \frac{3}{8} - 10 \frac{1}{6}$
190539	Evaluate	1/2(16)^(-1/2)	$\frac{1}{2} {(16)}^{- \frac{1}{2}}$
190540	Find the x and y Intercepts	y=3^(1-x)-4	$y = 3^{1 - x} - 4$
190541	Solve the Absolute Value Inequality for x	3\|x-9\|+9<15	$3 \| x - 9 \| + 9 < 15$
190542	Evaluate	(-2)^2+(-2)	${(- 2)}^{2} + (- 2)$
190543	Evaluate	sin(arccos(( square root of 3)/2))	$\sin (\arccos (\frac{\sqrt{3}}{2}))$
190544	Solve for x	square root of x-5+ square root of x=5	$\sqrt{x - 5} + \sqrt{x} = 5$
190545	Solve for Z	W=2Zx+2ZY	$W = 2 Z x + 2 Z Y$
190546	Find the Roots (Zeros)	x^4+x^2-90=0	$x^{4} + x^{2} - 90 = 0$
190547	Solve for d	(3d-2)/8=-d+16 1/4	$\frac{3 d - 2}{8} = - d + 16 \frac{1}{4}$
190548	Graph	g(x)=2f(x-3)	$g (x) = 2 f (x - 3)$
190549	Solve for m	36^(2m)=216	$36^{2 m} = 216$
190550	Write in Standard Form	(3+4i)-(7-5i)+2i(9+12i)	$(3 + 4 i) - (7 - 5 i) + 2 i (9 + 12 i)$
190551	Graph	-1<y+5x<=11	$- 1 < y + 5 x \leq 11$
190552	Simplify	(x^3-7x^2+12x)/(10(x-4)^2)*(x^2+6x-7)/(x^3+4x^2-21x)	$\frac{x^{3} - 7 x^{2} + 12 x}{10 {(x - 4)}^{2}} \cdot \frac{x^{2} + 6 x - 7}{x^{3} + 4 x^{2} - 21 x}$
190553	Simplify	x+x-3+4x^2+2x-x	$x + x - 3 + 4 x^{2} + 2 x - x$
190554	Solve the Inequality for x	x^3+3x^2-9x<=27	$x^{3} + 3 x^{2} - 9 x \leq 27$
190555	Solve the Inequality for x	x-2<0	$x - 2 < 0$
190556	Solve for g	-2/9g=-7/9	$- \frac{2}{9} g = - \frac{7}{9}$
190557	Simplify	square root of 6*7 square root of 18	$\sqrt{6} \cdot 7 \sqrt{18}$
190558	Simplify	(8^-5)^9	${(8^{- 5})}^{9}$
190559	Solve the Inequality for x	2/x<5	$\frac{2}{x} < 5$
190560	Solve the Inequality for x	-3<=5+2x<5	$- 3 \leq 5 + 2 x < 5$
190561	Solve for t	(-t)/2=12	$\frac{- t}{2} = 12$
190562	Simplify	(12e^5)÷3e^3	$12 e^{5} \div 3 e^{3}$
190563	Simplify	(3x-1)(2xy^2+xy-2y)	$(3 x - 1) (2 x y^{2} + x y - 2 y)$
190564	Graph	y=1/(f(x))	$y = \frac{1}{f (x)}$
190565	Simplify	4(x^2+x-6)	$4 (x^{2} + x - 6)$
190566	Solve for x	(x-5)/(x^2)+1/x=6/x	$\frac{x - 5}{x^{2}} + \frac{1}{x} = \frac{6}{x}$
190567	Solve for x	x(x-1)-5(x-2)=2	$x (x - 1) - 5 (x - 2) = 2$
190568	Solve for x	3 log base x of 16=6	$3 \log_{x} (16) = 6$
190569	Divide	(2/3)÷(-1 1/3)	$\frac{2}{3} \div (- 1 \frac{1}{3})$
190570	Graph	x/4<=-2	$\frac{x}{4} \leq - 2$
190571	Multiply	5/6(-4 1/2)(-2 1/5)	$\frac{5}{6} \cdot (- 4 \frac{1}{2}) \cdot (- 2 \frac{1}{5})$
190572	Simplify	( square root of x+5)÷( square root of 1-x)	$\sqrt{x + 5} \div \sqrt{1 - x}$
190573	Graph	y=-x-2 y=1/3x+2	$y = - x - 2$ $y = \frac{1}{3} x + 2$
190574	Evaluate	9*(5/6)^2	$9 \cdot {(\frac{5}{6})}^{2}$
190575	Find the x and y Intercepts	g(x)=2((1^x)/3)+1	$g (x) = 2 (\frac{1^{x}}{3}) + 1$
190576	Solve the Inequality for y	-1+y/8<15	$- 1 + \frac{y}{8} < 15$
190577	Graph	x^2>4	$x^{2} > 4$
190578	Evaluate the Function	h(a)=a^2-1 when a=-5	$h (a) = a^{2} - 1$ when $a = - 5$
190579	Write in Standard Form	x(x^2+3x-10)=0	$x (x^{2} + 3 x - 10) = 0$
190580	Complete the Square	f(x)=x^2-9x+14	$f (x) = x^{2} - 9 x + 14$
190581	Evaluate	2 natural log of e^4+ natural log of e^-11	$2 \ln (e^{4}) + \ln (e^{- 11})$
190582	Evaluate	(0^2)/2	$\frac{0^{2}}{2}$
190583	Graph	tan(theta)>0 , csc(theta)>0	$\tan (θ) > 0$ , $\csc (θ) > 0$
190584	Factor	25k-10+10k^3-4k^2	$25 k - 10 + 10 k^{3} - 4 k^{2}$
190585	Find the LCM	x^2-2x-15 and x^2+2x-3	$x^{2} - 2 x - 15$ and $x^{2} + 2 x - 3$
190586	Evaluate	e^(1/infinity)	$e^{\frac{1}{\infty}}$
190587	Factor	f(x)=2x^3+x^2-13x+6	$f (x) = 2 x^{3} + x^{2} - 13 x + 6$
190588	Solve for b	b^3=27	$b^{3} = 27$
190589	Simplify	(3x-1)/(4-2x)	$\frac{3 x - 1}{4 - 2 x}$
190590	Find the Zeros Using Descartes' Rule of Signs	f(x)=x^3-3x^2-6x+8	$f (x) = x^{3} - 3 x^{2} - 6 x + 8$
190591	Find f(g(x))	f(x) = square root of x and g(x)=x+1	$f (x) = \sqrt{x}$ and $g (x) = x + 1$
190592	Evaluate	-1/2(0)^2	$- \frac{1}{2} {(0)}^{2}$
190593	Solve the System of Equations	x+2y-z=-3 -x+y+2z=5 -2x+5y+5z=12	$x + 2 y - z = - 3$ $- x + y + 2 z = 5$ $- 2 x + 5 y + 5 z = 12$
190594	Combine Like Terms	(-x^2-4x-5)+(-x^2+8x+8)	$(- x^{2} - 4 x - 5) + (- x^{2} + 8 x + 8)$
190595	Solve the System of Equations	-x^2-3y^2=-12 -4x^2-y^2=-37	$- x^{2} - 3 y^{2} = - 12$ $- 4 x^{2} - y^{2} = - 37$
190596	Solve the Inequality for x	(x^2-4)/(x^2-5x+6)<0	$\frac{x^{2} - 4}{x^{2} - 5 x + 6} < 0$
190597	Simplify	-5/3-((((1/2)^3)÷(6/7))÷(3/4))÷((-1)^3)	$- \frac{5}{3} - {(\frac{1}{2})}^{3} \div \frac{6}{7} \div \frac{3}{4} \div {(- 1)}^{3}$
190598	Graph Using a Table of Values	y=x^3-4	$y = x^{3} - 4$
190599	Simplify	(sin(x))/(cos(x)-cos(x)^3)	$\frac{\sin (x)}{\cos (x) - \cos^{3} (x)}$
190600	Graph	2y>x-2 ?	$2 y > x - 2$ ?