Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196401	Solve for x	-2x=-x-(3/2x-1/2)-5	$- 2 x = - x - (\frac{3}{2} x - \frac{1}{2}) - 5$
196402	Solve the Inequality for x	(x^2-9x)/(x-5)<0	$\frac{x^{2} - 9 x}{x - 5} < 0$
196403	Simplify	(10x^2-10x-6)+(x+6)	$(10 x^{2} - 10 x - 6) + (x + 6)$
196404	Evaluate	3^-4*3^-5	$3^{- 4} \times 3^{- 5}$
196405	Evaluate the Function	f(-3+x)=9-6(-3+x)	$f (- 3 + x) = 9 - 6 (- 3 + x)$
196406	Graph	P(x)=-(4x-1)(x+1)(x+5)	$P (x) = - (4 x - 1) (x + 1) (x + 5)$
196407	Solve for B	A=1/2h(B+b) ; for B	$A = \frac{1}{2} h (B + b)$ ; for $B$
196408	Solve the Inequality for t	2t^2+11t+12<0	$2 t^{2} + 11 t + 12 < 0$
196409	Find the Distance Between Two Points	(0,0) and (-8,6)	$(0, 0)$ and $(- 8, 6)$
196410	Solve for x	2-(-x-1/2)=-7/2	$2 - (- x - \frac{1}{2}) = - \frac{7}{2}$
196411	Divide	(x^3-5x^2-26x+6)÷(x^2+3x+1)	$(x^{3} - 5 x^{2} - 26 x + 6) \div (x^{2} + 3 x + 1)$
196412	Solve for k	(x-k)^2=k^2+2x+x^2	${(x - k)}^{2} = k^{2} + 2 x + x^{2}$
196413	Simplify	(6+12i)/(3i)	$\frac{6 + 12 i}{3 i}$
196414	Find the Domain and Range	f^-1(x) = square root of x-1	$f^{- 1} (x) = \sqrt{x - 1}$
196415	Solve the Inequality for x	1+(x+2)/(x-3)>=2	$1 + \frac{x + 2}{x - 3} \geq 2$
196416	Find the x and y Intercepts	y=(2x+8)/(18x^2+96x-72)	$y = \frac{2 x + 8}{18 x^{2} + 96 x - 72}$
196417	Simplify	(cot(x)-csc(x))(cot(x)+csc(x))	$(\cot (x) - \csc (x)) (\cot (x) + \csc (x))$
196418	Solve for h	3(h-4)=-1/2(24-6h)	$3 (h - 4) = - \frac{1}{2} (24 - 6 h)$
196419	Simplify	square root of (x^2)/4	$\sqrt{\frac{x^{2}}{4}}$
196420	Rationalize the Denominator	( square root of 12)/( square root of 3)	$\frac{\sqrt{12}}{\sqrt{3}}$
196421	Simplify	2x^2+5+(5-2)x^2-3	$2 x^{2} + 5 + (5 - 2) x^{2} - 3$
196422	Find the Product	-2x(x^2-3)	$- 2 x (x^{2} - 3)$
196423	Solve by Factoring	e+1.2=2	$e + 1.2 = 2$
196424	Find All Complex Solutions	2cos(2x)+ square root of 2=0	$2 \cos (2 x) + \sqrt{2} = 0$
196425	Solve for x	4/(x+2)+3/(x+4)=(12x-3)/(x^2+6x+8)	$\frac{4}{x + 2} + \frac{3}{x + 4} = \frac{12 x - 3}{x^{2} + 6 x + 8}$
196426	Solve for g	T=2pi square root of 1/g	$T = 2 π \sqrt{\frac{1}{g}}$
196427	Solve the Inequality for x	3/2x-(-6x-2)<5	$\frac{3}{2} x - (- 6 x - 2) < 5$
196428	Evaluate	25% of 50	$25 %$ of $50$
196429	Simplify	(10c^6+6c^5-24c)÷(-c^4)	$(10 c^{6} + 6 c^{5} - 24 c) \div (- c^{4})$
196430	Graph	x>=-3 and y>-x	$x \geq - 3$ and $y > - x$
196431	Graph	y=x^2-2\|x\|-3	$y = x^{2} - 2 \| x \| - 3$
196432	Solve for x	\|20x\|=\|4x+16\|	$\| 20 x \| = \| 4 x + 16 \|$
196433	Simplify	5+((7+3)÷2)^2	$5 + {((7 + 3) \div 2)}^{2}$
196434	Solve Using the Quadratic Formula	f(x)=x^2-2x	$f (x) = x^{2} - 2 x$
196435	Solve for f	-f-9>=2f-1	$- f - 9 \geq 2 f - 1$
196436	Graph	\|1/2x\|	$\| \frac{1}{2} x \|$
196437	Subtract	2 1/6-5 2/3	$2 \frac{1}{6} - 5 \frac{2}{3}$
196438	Graph	y>x^2-9 y<=x-6	$y > x^{2} - 9$ $y \leq x - 6$
196439	Solve for x	0=x^2+1	$0 = x^{2} + 1$
196440	Graph	sin(theta)>0 , sec(theta)>0	$\sin (θ) > 0$ , $\sec (θ) > 0$
196441	Multiply	-2/3*(-3/2)	$- \frac{2}{3} \cdot (- \frac{3}{2})$
196442	Simplify	cos(x)(cot(x)+tan(x))	$\cos (x) (\cot (x) + \tan (x))$
196443	Solve the Inequality for x	-8(x-4)-3<=5	$- 8 (x - 4) - 3 \leq 5$
196444	Factor	2x-1=2x^3-x^2	$2 x - 1 = 2 x^{3} - x^{2}$
196445	Solve for m	m^3+3m^2-4=0	$m^{3} + 3 m^{2} - 4 = 0$
196446	Find the x and y Intercepts	(5x^2-25x)/(-4x^2)	$\frac{5 x^{2} - 25 x}{- 4 x^{2}}$
196447	Solve for y	36=byx	$36 = b y x$
196448	Simplify	(x^2-2x-37)÷(x^2-3x-40) ?	$(x^{2} - 2 x - 37) \div (x^{2} - 3 x - 40)$ ?
196449	Solve the Inequality for x	-3(3x+5)>=-5(2x-2)	$- 3 (3 x + 5) \geq - 5 (2 x - 2)$
196450	Solve for v	9*13^v-5=52	$9 \cdot 13^{v} - 5 = 52$
196451	Evaluate	-2 cube root of 64+-5^2	$- 2 \sqrt[3]{64 + - 5^{2}}$
196452	Divide	(3n-m^2n+2n)/(6m)	$\frac{3 n - m^{2} n + 2 n}{6 m}$
196453	Solve for x	1/(x-4)+x/(x+2)=2/(x^2-2x-8)	$\frac{1}{x - 4} + \frac{x}{x + 2} = \frac{2}{x^{2} - 2 x - 8}$
196454	Solve for b	3 square root of 2b+20=6	$3 \sqrt{2 b + 20} = 6$
196455	Graph	y<=4-x	$y \leq 4 - x$
196456	Find the Exact Value	square root of -4,508+ square root of -5,175	$\sqrt{- 4, 508} + \sqrt{- 5, 175}$
196457	Graph Using a Table of Values	g(x)=f(2x)	$g (x) = f (2 x)$
196458	Solve for s	-11s+14s-24=33	$- 11 s + 14 s - 24 = 33$
196459	Solve for b	square root of (126xy^5)/(32x^3) = square root of (63y^5)/(ax^b)	$\sqrt{\frac{126 x y^{5}}{32 x^{3}}} = \sqrt{\frac{63 y^{5}}{a x^{b}}}$
196460	Divide	-10÷(-5/8)	$- 10 \div (- \frac{5}{8})$
196461	Factor	w^2+xy-wy-xw	$w^{2} + x y - w y - x w$
196462	Simplify	(3x^9*y^-4)(6x^-8y^4)	$(3 x^{9} \cdot y^{- 4}) (6 x^{- 8} y^{4})$
196463	Simplify	( square root of 8x)/( cube root of 16x)	$\frac{\sqrt{8 x}}{\sqrt[3]{16 x}}$
196464	Simplify	2/3ab^3+2a-1/3ab^3+2/3a^3b-5a	$\frac{2}{3} a b^{3} + 2 a - \frac{1}{3} a b^{3} + \frac{2}{3} a^{3} b - 5 a$
196465	Convert to Interval Notation	x<-8 and x<8	$x < - 8$ and $x < 8$
196466	Write in Standard Form	7x+y+3=y	$7 x + y + 3 = y$
196467	Find the Excluded Values	((-4x-12)/(x-7))÷((x^2-12x+36)/(2x-14))	$\frac{- 4 x - 12}{x - 7} \div \frac{x^{2} - 12 x + 36}{2 x - 14}$
196468	Find the x and y Intercepts	f(x)=(x^2+x-20)/(3x-12)	$f (x) = \frac{x^{2} + x - 20}{3 x - 12}$
196469	Solve for x	16x^2-22x+5=2x	$16 x^{2} - 22 x + 5 = 2 x$
196470	Evaluate	log base b of square root of 57/74	$\log_{b} (\sqrt{\frac{57}{74}})$
196471	Simplify	(3x+2)/(x-1)+(2x-5)/(x-1)	$\frac{3 x + 2}{x - 1} + \frac{2 x - 5}{x - 1}$
196472	Find the Exact Value	square root of -156+ square root of -2,496	$\sqrt{- 156} + \sqrt{- 2, 496}$
196473	Find the Domain and Range	f(x)=4 square root of 2x-1+3	$f (x) = 4 \sqrt{2 x - 1} + 3$ ?
196474	Solve for x	4(3-x)+6x=3x+8-x	$4 (3 - x) + 6 x = 3 x + 8 - x$
196475	Simplify	(4(3x^2y^4)^3)/((2x^3y^5)^4)	$\frac{4 {(3 x^{2} y^{4})}^{3}}{{(2 x^{3} y^{5})}^{4}}$
196476	Find the Domain and Range	H(x)=-x^2	$H (x) = - x^{2}$
196477	Graph	f(x)=((x+5)(x-2))/x	$f (x) = \frac{(x + 5) (x - 2)}{x}$
196478	Solve for x	A=P(1+x/100)^2	$A = P {(1 + \frac{x}{100})}^{2}$
196479	Solve for x	(x-6)/4<=2	$\frac{x - 6}{4} \leq 2$
196480	Graph	y=1/2sin(2theta+(5pi)/3)+2	$y = \frac{1}{2} \sin (2 θ + \frac{5 π}{3}) + 2$
196481	Simplify	(x+1)/(x+1)	$\frac{x + 1}{x + 1}$
196482	Solve for x	(x^2-1)/(x+2)=(2x-1)/2	$\frac{x^{2} - 1}{x + 2} = \frac{2 x - 1}{2}$
196483	Find the Quotient	(x^3+3x^2+5x+3)÷(x+1) ?	$(x^{3} + 3 x^{2} + 5 x + 3) \div (x + 1)$ ?
196484	Solve the Inequality for x	(x-9)/(7x+2)<=0	$\frac{x - 9}{7 x + 2} \leq 0$
196485	Solve for x	2x-8+3x+2=4x+10+3x-6	$2 x - 8 + 3 x + 2 = 4 x + 10 + 3 x - 6$
196486	Evaluate	cos(3theta)=1	$\cos (3 θ) = 1$
196487	Evaluate	(-7x^2-4)+(-7x^2-6x-2)	$(- 7 x^{2} - 4) + (- 7 x^{2} - 6 x - 2)$
196488	Find the Exact Value	9-3÷(1/3)+1	$9 - 3 \div \frac{1}{3} + 1$
196489	Find the Excluded Values	(x+3)/(3x+6)*(6x)/(x^2+5x+6)	$\frac{x + 3}{3 x + 6} \cdot \frac{6 x}{x^{2} + 5 x + 6}$
196490	Graph	-(x+1)^2(x-1)^3(X-2)	$- {(x + 1)}^{2} {(x - 1)}^{3} (X - 2)$
196491	Determine if True	cos(theta)cot(theta)=csc(theta)-sin(theta)	$\cos (θ) \cot (θ) = \csc (θ) - \sin (θ)$
196492	Solve the Inequality for x	-1>=-4/5x-2(-3x+1/2)	$- 1 \geq - \frac{4}{5} x - 2 (- 3 x + \frac{1}{2})$
196493	Solve the Inequality for x	((x-2)^2)/(x^2-1)>=0	$\frac{{(x - 2)}^{2}}{x^{2} - 1} \geq 0$
196494	Find the Zeros Using Descartes' Rule of Signs	f(x)=x^3-2x^2+x-1	$f (x) = x^{3} - 2 x^{2} + x - 1$
196495	Find f(g(x))	f(x)=18-3x , g(x)=6-x/3	$f (x) = 18 - 3 x$ , $g (x) = 6 - \frac{x}{3}$
196496	Solve for y	19=7x+y	$19 = 7 x + y$
196497	Simplify	2(1+5m)^2+18(1+5m)-14	$2 {(1 + 5 m)}^{2} + 18 (1 + 5 m) - 14$
196498	Graph	y=-1/2x+2 y=3x-5	$y = - \frac{1}{2} x + 2$ $y = 3 x - 5$
196499	Solve the Inequality for x	5/(x-6)>3/(x+2)	$\frac{5}{x - 6} > \frac{3}{x + 2}$
196500	Identify the Zeros and Their Multiplicities	f(x)=x^6-7x^4-8x^2	$f (x) = x^{6} - 7 x^{4} - 8 x^{2}$