Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198401	Solve for x	sin(x)cot(x)-cos(x)^2=0	$\sin (x) \cot (x) - \cos^{2} (x) = 0$
198402	Simplify	- fourth root of 1	$- \sqrt[4]{1}$
198403	Find the Parabola with Focus (6,7) and Directrix x=1	(6,7) x=1	$(6, 7)$ $x = 1$
198404	Simplify	fourth root of 125m* fourth root of 35	$\sqrt[4]{125 m} \cdot \sqrt[4]{35}$
198405	Evaluate	(180(8-2))/8	$\frac{180 (8 - 2)}{8}$
198406	Solve for t	5(4+t)=5t+20	$5 (4 + t) = 5 t + 20$
198407	Solve for w	6w-y=2z ; for w	$6 w - y = 2 z$ ; for $w$
198408	Simplify	1/2x-2/5x	$\frac{1}{2} x - \frac{2}{5} x$
198409	Factor	x^2+3x-(4/x)^3-1	$x^{2} + 3 x - {(\frac{4}{x})}^{3} - 1$
198410	Solve the Inequality for r	4r+2>18	$4 r + 2 > 18$
198411	Factor	(x^4-13x^2+36)÷(x+2)	$(x^{4} - 13 x^{2} + 36) \div (x + 2)$
198412	Solve for x	(3x+4)/2+(5x+4)/3=(52+7x)/5	$\frac{3 x + 4}{2} + \frac{5 x + 4}{3} = \frac{52 + 7 x}{5}$
198413	Solve for W	(2W+1)W=45	$(2 W + 1) W = 45$
198414	Evaluate	cos(arcsin(0))	$\cos (\arcsin (0))$
198415	Simplify	(cos(t)^2)/(sin(t)^2+cos(t)^2)	$\frac{\cos^{2} (t)}{\sin^{2} (t) + \cos^{2} (t)}$
198416	Evaluate	\|4b-5\|=19	$\| 4 b - 5 \| = 19$
198417	Convert to Interval Notation	10n-9>-59 and n-6<=3	$10 n - 9 > - 59$ and $n - 6 \leq 3$
198418	Simplify	3 square root of 7(1- square root of 7)	$3 \sqrt{7} (1 - \sqrt{7})$
198419	Find the Product	square root of y^3* square root of y^3	$\sqrt{y^{3}} \cdot \sqrt{y^{3}}$
198420	Evaluate	(-2x^2-2x+1)+(-8x^2-7)	$(- 2 x^{2} - 2 x + 1) + (- 8 x^{2} - 7)$
198421	Evaluate	(3+2)*5	$(3 + 2) \times 5$
198422	Factor by Grouping	a^2+a-ab-b	$a^{2} + a - a b - b$
198423	Simplify	(2/(x-3))/(-1/(x-3)+3/x)	$\frac{\frac{2}{x - 3}}{\frac{- 1}{x - 3} + \frac{3}{x}}$
198424	Find the x and y Intercepts	f(x)=(x^2-2x)/(2x^2-32)	$f (x) = \frac{x^{2} - 2 x}{2 x^{2} - 32}$
198425	Graph	((x+5)^2)/4-y^2=1	$\frac{{(x + 5)}^{2}}{4} - y^{2} = 1$
198426	Solve for x	4(3x+1)-2(x-2)=13	$4 (3 x + 1) - 2 (x - 2) = 13$
198427	Graph	p(x)=(x+3)(x+1)(2x-1)^2	$p (x) = (x + 3) (x + 1) {(2 x - 1)}^{2}$
198428	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+x-1=0	$x^{2} + x - 1 = 0$
198429	Solve the Inequality for m	(m+4)/3>3	$\frac{m + 4}{3} > 3$
198430	Find the Domain and Range	f(x)=2(x+4)	$f (x) = 2 (x + 4)$
198431	Multiply	6*(-3/4)	$6 \cdot (- \frac{3}{4})$
198432	Simplify	limit as x approaches 0 of ( square root of x+5- square root of 5)/x	$lim_{x \to 0} \frac{\sqrt{x + 5} - \sqrt{5}}{x}$
198433	Find All Complex Solutions	2sin(theta)+3=-csc(theta)	$2 \sin (θ) + 3 = - \csc (θ)$
198434	Find the Holes in the Graph	f(x)=(2x-3)/(x+1)	$f (x) = \frac{2 x - 3}{x + 1}$
198435	Solve for h	A=2pirh+pir^2	$A = 2 π r h + π r^{2}$
198436	Find the Axis of Symmetry	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
198437	Evaluate	2(x+1)-3(x-2)=x+6	$2 (x + 1) - 3 (x - 2) = x + 6$
198438	Find the Roots (Zeros)	F(x)=x^3+x^2+25x+25	$F (x) = x^{3} + x^{2} + 25 x + 25$
198439	Factor	x^6+6x^4+12x^2+8	$x^{6} + 6 x^{4} + 12 x^{2} + 8$
198440	Solve for T	R=(PV)/nT	$R = \frac{P V}{n T}$
198441	Simplify	3h(2)+4g(1)	$3 h (2) + 4 g (1)$
198442	Solve for x	7/8+x=1/4	$\frac{7}{8} + x = \frac{1}{4}$
198443	Solve the Inequality for x	2<2x<6	$2 < 2 x < 6$
198444	Evaluate	b+2(b+2b)	$b + 2 (b + 2 b)$
198445	Solve for x	(2x+1)/(x-6)+x/8=(x+7)/(x-6)	$\frac{2 x + 1}{x - 6} + \frac{x}{8} = \frac{x + 7}{x - 6}$
198446	Solve for a	3/4a-q=k	$\frac{3}{4} a - q = k$
198447	Solve the Inequality for x	5\|x-5\|-7<23	$5 \| x - 5 \| - 7 < 23$
198448	Find the Product	(4m^2-5)(4m^2+5)	$(4 m^{2} - 5) (4 m^{2} + 5)$
198449	Factor	x^4-4x^3+8x^2-16x+16	$x^{4} - 4 x^{3} + 8 x^{2} - 16 x + 16$
198450	Solve for x	3/2+x=1/2	$\frac{3}{2} + x = \frac{1}{2}$
198451	Evaluate Using the Given Value	S=6Lw+6wh+5(hL) ; for h	$S = 6 L w + 6 w h + 5 hL$ ; for $h$
198452	Graph	square root of 2x-x^2	$\sqrt{2 x - x^{2}}$
198453	Graph	f(x)=1 if x<=1; x+1 if x>1	$f (x) = {\begin{cases} 1 & x \leq 1 \\ x + 1 & x > 1 \end{cases}$
198454	Solve for x	1-1/(x+9)=1/(x^2+17x+72)	$1 - \frac{1}{x + 9} = \frac{1}{x^{2} + 17 x + 72}$
198455	Solve for x	2401^(-3x-9)=(1/2401)^(5x+2)	$2401^{- 3 x - 9} = {(\frac{1}{2401})}^{5 x + 2}$
198456	Solve for c	square root of 2/3w+12=8+cw	$\sqrt{\frac{2}{3} w + 12} = 8 + c w$
198457	Simplify	square root of 3(4 square root of 3+4)	$\sqrt{3} (4 \sqrt{3} + 4)$
198458	Find the LCD	(3x)/(x+5) and -4/(3x+15)	$\frac{3 x}{x + 5}$ and $\frac{- 4}{3 x + 15}$
198459	Solve for x	-cos(x)+cos(2x)=0	$- \cos (x) + \cos (2 x) = 0$
198460	Solve for y	4/5=12/(2y-3)	$\frac{4}{5} = \frac{12}{2 y - 3}$
198461	Factor	R(x)=(x^2+3x-40)/(x^2-3x-10)	$R (x) = \frac{x^{2} + 3 x - 40}{x^{2} - 3 x - 10}$
198462	Solve the Inequality for x	2x-5<x-9	$2 x - 5 < x - 9$
198463	Simplify	((2a^4)^2)/(a^0a^5)	$\frac{{(2 a^{4})}^{2}}{a^{0} a^{5}}$
198464	Solve for x	x/(2a)-(1-x)/(a^2)=1/(2a)	$\frac{x}{2 a} - \frac{1 - x}{a^{2}} = \frac{1}{2 a}$
198465	Evaluate	sin(arctan(a/b))	$\sin (\arctan (\frac{a}{b}))$
198466	Evaluate	9÷3((18-6)-2^2)	$9 \div 3 ((18 - 6) - 2^{2})$
198467	Factor	x^9+x^6+x^3	$x^{9} + x^{6} + x^{3}$
198468	Solve for x	6^9*6^x=6^2	$6^{9} \cdot 6^{x} = 6^{2}$
198469	Multiply	( square root of 2- square root of 3)^2	${(\sqrt{2} - \sqrt{3})}^{2}$
198470	Divide	(2x^3-3x^2-5x)÷(2x-5)	$(2 x^{3} - 3 x^{2} - 5 x) \div (2 x - 5)$
198471	Find the Degree, Leading Term, and Leading Coefficient	-8x^3-x^4+1/9+x	$- 8 x^{3} - x^{4} + \frac{1}{9} + x$
198472	Evaluate	9÷3((18-10)-2^2)	$9 \div 3 ((18 - 10) - 2^{2})$
198473	Solve for x	cube root of 4x+1-2=2	$\sqrt[3]{4 x + 1} - 2 = 2$
198474	Graph	(x-2)/3-5/(2y-4)=0	$\frac{x - 2}{3} - \frac{5}{2 y - 4} = 0$
198475	Solve for c	(c+1)/(c-3)=4-12/(c^2-2c-3)	$\frac{c + 1}{c - 3} = 4 - \frac{12}{c^{2} - 2 c - 3}$
198476	Evaluate	38+(1612)÷2-(302)	$38 + 16 \cdot 12 \div 2 - (30 \cdot 2)$
198477	Find the Roots (Zeros)	x^4-8x^2+16=0	$x^{4} - 8 x^{2} + 16 = 0$
198478	Solve for x	-9/4+9/(4x)=-2	$\frac{- 9}{4} + \frac{9}{4 x} = - 2$
198479	Rationalize the Denominator	1/( square root of 2- square root of 3)	$\frac{1}{\sqrt{2} - \sqrt{3}}$
198480	Simplify	4y^2-3y+9y^4+7y-5y^2	$4 y^{2} - 3 y + 9 y^{4} + 7 y - 5 y^{2}$
198481	Solve for x	-x/4=(2x)/3	$- \frac{x}{4} = \frac{2 x}{3}$
198482	Simplify	(x-y)/(x+y)-(y-x)/(x+y)	$\frac{x - y}{x + y} - \frac{y - x}{x + y}$
198483	Simplify	a-(-7.7b-7)	$a - (- 7.7 b - 7)$
198484	Evaluate	(6x^2+7x+2)-(-9x^2-10)	$(6 x^{2} + 7 x + 2) - (- 9 x^{2} - 10)$
198485	Divide	(-2/3)÷(-8/7)	$- \frac{2}{3} \div (- \frac{8}{7})$
198486	Solve for r	a+b=s+r	$a + b = s + r$
198487	Divide	(x^5)÷(x^3)	$x^{5} \div x^{3}$
198488	Multiply	x^2(1/x)	$x^{2} (\frac{1}{x})$
198489	Find f(g(x))	f(x) = square root of x , g(x)=x+2	$f (x) = \sqrt{x}$ , $g (x) = x + 2$
198490	Factor	sin(x)^3+cos(x)^3	$\sin^{3} (x) + \cos^{3} (x)$
198491	Find the Domain and Range	m(x)=(x+1)^(1/2)+2	$m (x) = {(x + 1)}^{\frac{1}{2}} + 2$
198492	Divide Using Long Polynomial Division	(4x^3-3x+1)/x	$\frac{4 x^{3} - 3 x + 1}{x}$
198493	Find the Complex Conjugate	1/2+-7/2i	$\frac{1}{2} + \frac{- 7}{2} i$
198494	Solve for x	16+x^2=0	$16 + x^{2} = 0$
198495	Find the Distance Between Two Points	(0,0) and (-4,3)	$(0, 0)$ and $(- 4, 3)$
198496	Solve for x	80=5(1/2)^(-2x-5)	$80 = 5 {(\frac{1}{2})}^{- 2 x - 5}$
198497	Simplify	(3v^2-7v-10)(v-4)^-1	$(3 v^{2} - 7 v - 10) {(v - 4)}^{- 1}$
198498	Graph	f(x) = log base 4 of -x+1-8	$f (x) = \log_{4} (- x + 1) - 8$
198499	Subtract	-6/(x+6)-4/(x-6)	$\frac{- 6}{x + 6} - \frac{4}{x - 6}$
198500	Simplify	((a^2-b^2)/(2a-2b))÷(8/(a+b))	$\frac{a^{2} - b^{2}}{2 a - 2 b} \div \frac{8}{a + b}$