Mathway | Popular Problems

Popular Problems

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