Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187401	Convert to Interval Notation	x<=-6 or x>=10	$x \leq - 6$ or $x \geq 10$
187402	Find the Exact Value	5 log base 7 of sixth root of 49	$5 \log_{7} (\sqrt[6]{49})$
187403	Multiply	(3ab-4)(3ab+4)	$(3 a b - 4) (3 a b + 4)$
187404	Graph	x(x-3)^2	$x {(x - 3)}^{2}$
187405	Solve for x	3(1+4x)=12x	$3 (1 + 4 x) = 12 x$
187406	Find the x and y Intercepts	f(x)=((x+4)^2(x-2))/(2(x-1)^2(x-3))	$f (x) = \frac{{(x + 4)}^{2} (x - 2)}{2 {(x - 1)}^{2} (x - 3)}$
187407	Determine if Perpendicular	x-y=5 and x+y=-10	$x - y = 5$ and $x + y = - 10$
187408	Find the Inverse	f^-1(x)=x^3-2	$f^{- 1} (x) = x^{3} - 2$
187409	Find the Product	(4x^2-8x)/(x+1)*(x^2+2x+1)/(4x)	$\frac{4 x^{2} - 8 x}{x + 1} \cdot \frac{x^{2} + 2 x + 1}{4 x}$
187410	Solve the Inequality for x	(x+4)(x+9)(5-x)>=0	$(x + 4) (x + 9) (5 - x) \geq 0$
187411	Solve the Inequality for x	1/2(4x+4)<-3(x+2)	$\frac{1}{2} (4 x + 4) < - 3 (x + 2)$
187412	Solve the Inequality for x	x+22-13x>=118	$x + 22 - 13 x \geq 118$
187413	Solve the System of Equations	y=3x^2-6x+1 y-x+1=0	$y = 3 x^{2} - 6 x + 1$ $y - x + 1 = 0$
187414	Simplify	2+(8-2(32+5(1+2)))	$2 + (8 - 2 (32 + 5 (1 + 2)))$
187415	Solve the System of Equations	2x+y=-10 x-3y=2	$2 x + y = - 10$ $x - 3 y = 2$
187416	Simplify	x^-2*x	$x^{- 2} \cdot x$
187417	Solve for c	a=(a-b)/b+c	$a = \frac{a - b}{b} + c$
187418	Simplify	(wx-y)^2	${(w x - y)}^{2}$
187419	Graph	y=(1/2x)^3+1	$y = {(\frac{1}{2} x)}^{3} + 1$
187420	Evaluate	(x-2)(x^2+2x+4)	$(x - 2) (x^{2} + 2 x + 4)$
187421	Solve the Inequality for r	9(2r-5)-3<7r-4	$9 (2 r - 5) - 3 < 7 r - 4$
187422	Solve the Inequality for x	2<=x+5<4	$2 \leq x + 5 < 4$
187423	Complete the Square	x^2=-8x-7	$x^{2} = - 8 x - 7$
187424	Find the Domain and Range	g(x,y)=x square root of y	$g (x, y) = x \sqrt{y}$
187425	Solve Using the Quadratic Formula	6x^2+18x=x-12	$6 x^{2} + 18 x = x - 12$
187426	Divide	a^2-ab entre a	$a^{2} - a b$ entre $a$
187427	Graph	e^(\|x\|)	$e^{\| x \|}$
187428	Multiply	(3x^3-7x^2-2x)(xy)	$(3 x^{3} - 7 x^{2} - 2 x) (x y)$
187429	Simplify	33xy4zxyz	$3 \cdot 3 x \cdot y \cdot 4 z \cdot x \cdot y \cdot z$
187430	Solve for x	5+\|x\|=14	$5 + \| x \| = 14$
187431	Find the Exact Value	(5^2)-(-5^2)	$(5^{2}) - (- 5^{2})$
187432	Graph	(-( square root of 2)/2,( square root of 2)/2)	$(- \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$
187433	Solve for x	-1/2(8x+6)-2x=-3(2x+1)	$- \frac{1}{2} (8 x + 6) - 2 x = - 3 (2 x + 1)$
187434	Solve for x	m=y+(x-3)/2	$m = y + \frac{x - 3}{2}$
187435	Find the First Term	a_n=(2n)/(n+1)	$a_{n} = \frac{2 n}{n + 1}$
187436	Solve for x	rx-st=r	$r x - s t = r$
187437	Graph	(-( square root of 3)/2,-1/2)	$(- \frac{\sqrt{3}}{2}, - \frac{1}{2})$
187438	Multiply	[[4,2]]*[[-2,5],[7,-1]]	$[\begin{array}{c} 4 & 2 \end{array}] \times [\begin{array}{c} - 2 & 5 \\ 7 & - 1 \end{array}]$
187439	Solve for x	6(1/4)^x=3/32	$6 {(\frac{1}{4})}^{x} = \frac{3}{32}$
187440	Solve for n	f(4g^2-9)=n	$f (4 g^{2} - 9) = n$
187441	Simplify	((x^3)/(x-1))÷((x^2)/(y-xy))	$\frac{x^{3}}{x - 1} \div \frac{x^{2}}{y - x y}$
187442	Graph	x+2y<=4 3x-y>2	$x + 2 y \leq 4$ $3 x - y > 2$
187443	Solve for n	(1/8)^(2-2n)=16	${(\frac{1}{8})}^{2 - 2 n} = 16$
187444	Simplify	(7xy)/(21xy^2)	$\frac{7 x y}{21 x y^{2}}$
187445	Solve the Inequality for x	square root of x^2-x-2< square root of x+6	$\sqrt{x^{2} - x - 2} < \sqrt{x + 6}$
187446	Graph	y=2^(x^2)	$y = 2^{x^{2}}$
187447	Solve for x	-10+ square root of x+2=-10	$- 10 + \sqrt{x + 2} = - 10$
187448	Find the Product	(3m-4)^3(3m^5)	${(3 m - 4)}^{3} (3 m^{5})$
187449	Simplify	-x^2 square root of 200x^3+x^3 square root of 72x	$- x^{2} \sqrt{200 x^{3}} + x^{3} \sqrt{72 x}$
187450	Solve for x	(2x)/15-(4x+12)/45=1/9	$\frac{2 x}{15} - \frac{4 x + 12}{45} = \frac{1}{9}$
187451	Find the Roots (Zeros)	9x^2-6x=-9	$9 x^{2} - 6 x = - 9$
187452	Evaluate	-4/(2(2))	$- \frac{4}{2 (2)}$
187453	Find the Distance Between Two Points	(-5,-1) and (2,8)	$(- 5, - 1)$ and $(2, 8)$
187454	Find the Holes in the Graph	(x^2+2x)/(-2x^2+10x)	$\frac{x^{2} + 2 x}{- 2 x^{2} + 10 x}$
187455	Simplify	((3x^2)^-2)/(36x^4)	$\frac{{(3 x^{2})}^{- 2}}{36 x^{4}}$
187456	Simplify	(y/(x^2-y^2))÷((y^2)/(x-y))	$\frac{y}{x^{2} - y^{2}} \div \frac{y^{2}}{x - y}$
187457	Find the Domain of the Composition g(f(x))	f(x)=3x+1 , g(x) = square root of x	$f (x) = 3 x + 1$ , $g (x) = \sqrt{x}$
187458	Solve the Inequality for y	14-4y>=38	$14 - 4 y \geq 38$
187459	Factor	y=x^2-16	$y = x^{2} - 16$
187460	Solve for a	(a-2)/9=2/3	$\frac{a - 2}{9} = \frac{2}{3}$
187461	Find the Exact Value	cot((13pi)/8)	$\cot (\frac{13 π}{8})$
187462	Simplify	((3^a*3^b)÷(3^c))÷(3^d)	$3^{a} \cdot 3^{b} \div 3^{c} \div 3^{d}$
187463	Convert to a Decimal	sin(300)deg	$\sin (300)$ degrees
187464	Solve for θ	sec(theta)- square root of 2=0	$\sec (θ) - \sqrt{2} = 0$
187465	Graph	y<x y<4	$y < x$ $y < 4$
187466	Find the Holes in the Graph	(x^2+2x+1)/(2x^2-x-3)	$\frac{x^{2} + 2 x + 1}{2 x^{2} - x - 3}$
187467	Solve for x	6(7x-1)=2(3x+11)	$6 (7 x - 1) = 2 (3 x + 11)$
187468	Factor	2a(3x+y)+8(3x+y)-10a(3x+y)	$2 a (3 x + y) + 8 (3 x + y) - 10 a (3 x + y)$
187469	Solve for x	x/3+10>=15	$\frac{x}{3} + 10 \geq 15$
187470	Solve for n	3/5(n+25)=10+2/5n	$\frac{3}{5} (n + 25) = 10 + \frac{2}{5} n$
187471	Rationalize the Denominator	( square root of 3)/(3- square root of 6)	$\frac{\sqrt{3}}{3 - \sqrt{6}}$
187472	Solve for c	c-7>=-3	$c - 7 \geq - 3$
187473	Evaluate	cos(2)(pi/2)	$\cos (2) (\frac{π}{2})$
187474	Evaluate	(6/5)^(5(-1/2))	${(\frac{6}{5})}^{5 (- \frac{1}{2})}$
187475	Solve for y	y^3+27=0	$y^{3} + 27 = 0$
187476	Simplify	square root of 225/625m^4n^6	$\sqrt{\frac{225}{625} m^{4} n^{6}}$
187477	Solve for n	\|n+2\|-3>=-6	$\| n + 2 \| - 3 \geq - 6$
187478	Find the x and y Intercepts	f(x)=-6x^4+6x+9x^3+9x^2+1	$f (x) = - 6 x^{4} + 6 x + 9 x^{3} + 9 x^{2} + 1$
187479	Graph	R(x)=(x^2)/(x^2+x-6)	$R (x) = \frac{x^{2}}{x^{2} + x - 6}$
187480	Find the x and y Intercepts	f(x)=(-2x^3+4)/3	$f (x) = \frac{- 2 x^{3} + 4}{3}$
187481	Solve for x	(2x-3)/(x-1)=(8x+1)/(4x+5)	$\frac{2 x - 3}{x - 1} = \frac{8 x + 1}{4 x + 5}$
187482	Evaluate	-15/(4+1)	$- \frac{15}{4 + 1}$
187483	Solve for x	( log base 3 of x)^2-2 log base 3 of x=15	${\log_{3}}^{2} (x) - 2 \log_{3} (x) = 15$
187484	Simplify	2/(2/3)-(2/3)/2	$\frac{2}{\frac{2}{3}} - \frac{\frac{2}{3}}{2}$
187485	Find the Excluded Values	(x^2+10x+25)/(x^2-25)	$\frac{x^{2} + 10 x + 25}{x^{2} - 25}$
187486	Simplify	((k+5)/(k^2+3k-10))÷((7k+14)/(4-k^2))	$\frac{k + 5}{k^{2} + 3 k - 10} \div \frac{7 k + 14}{4 - k^{2}}$
187487	Simplify	fourth root of 8x^2* fourth root of 2x^2	$\sqrt[4]{8 x^{2}} \cdot \sqrt[4]{2 x^{2}}$
187488	Find the Function	v(r)=4/3pir^3	$v (r) = \frac{4}{3} π r^{3}$
187489	Subtract	(-5x^2+7x+1)-(8x^2+x-10)	$(- 5 x^{2} + 7 x + 1) - (8 x^{2} + x - 10)$
187490	Factor	27a^3b^2c+9ab^3c^2	$27 a^{3} b^{2} c + 9 a b^{3} c^{2}$
187491	Solve for x	3-\|x+4\|=10	$3 - \| x + 4 \| = 10$
187492	Evaluate	-(1/2)^1	$- {(\frac{1}{2})}^{1}$
187493	Solve the System of Equations	y=6-x y=x^2-6x+6	$y = 6 - x$ $y = x^{2} - 6 x + 6$
187494	Simplify	(1/( square root of 2))^2	${(\frac{1}{\sqrt{2}})}^{2}$
187495	Find the x and y Intercepts	f(x)=-10x-6+x^3-8x^2	$f (x) = - 10 x - 6 + x^{3} - 8 x^{2}$
187496	Simplify	(x^2+14x+40)/(9x^4+135x^3+450x^2)*(6x^2+84x+270)/(x^2+13x+36)	$\frac{x^{2} + 14 x + 40}{9 x^{4} + 135 x^{3} + 450 x^{2}} \cdot \frac{6 x^{2} + 84 x + 270}{x^{2} + 13 x + 36}$
187497	Solve the Inequality for x	2-\|2/5x+3\|>3/5	$2 - \| \frac{2}{5} x + 3 \| > \frac{3}{5}$
187498	Multiply	(-7x-4y)*(7x+4y)	$(- 7 x - 4 y) \cdot (7 x + 4 y)$
187499	Solve the Inequality for b	-2(10-3b)>=6(b-3)-2	$- 2 (10 - 3 b) \geq 6 (b - 3) - 2$
187500	Simplify	(2+3x)/(3x+2)	$\frac{2 + 3 x}{3 x + 2}$