Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190001	Simplify	cos(x)^2(tan(x)^2+1)	$\cos^{2} (x) (\tan^{2} (x) + 1)$
190002	Find the Distance Between Two Points	(3,8) and (-5,5)	$(3, 8)$ and $(- 5, 5)$
190003	Solve for x	x/(x+4)=20/(x^2+3x-4)+2/(x-1)	$\frac{x}{x + 4} = \frac{20}{x^{2} + 3 x - 4} + \frac{2}{x - 1}$
190004	Solve for x	1+5/(x-2)=2/(x^2-4)	$1 + \frac{5}{x - 2} = \frac{2}{x^{2} - 4}$
190005	Write in Standard Form	(-2,0) and (0,5)	$(- 2, 0)$ and $(0, 5)$
190006	Find All Complex Solutions	sin(theta)-cos(theta) = square root of 2	$\sin (θ) - \cos (θ) = \sqrt{2}$
190007	Find the Exact Value	sec(765 degrees )	$\sec (765 °)$
190008	Multiply	6x^2-4x-5*2x^2+3x	$6 x^{2} - 4 x - 5 \cdot 2 x^{2} + 3 x$
190009	Solve for x	x-3(2x-(x+1)+5(1-x))=x+(3x-7)-(x+3)	$x - 3 (2 x - (x + 1) + 5 (1 - x)) = x + (3 x - 7) - (x + 3)$
190010	Simplify the Radical Expression	(4^11)/(4^-8)	$\frac{4^{11}}{4^{- 8}}$
190011	Solve for x	y=(x-8)*m	$y = (x - 8) \cdot m$
190012	Evaluate Using the Given Value	p/4+pq when p=8 and q=6	$\frac{p}{4} + p q$ when $p = 8$ and $q = 6$
190013	Solve the System of Equations	2x-y+z=-3 x+2y-z=5 5x+5y-2z=12	$2 x - y + z = - 3$ $x + 2 y - z = 5$ $5 x + 5 y - 2 z = 12$
190014	Write in Slope-Intercept Form	y+1=(3-2)/(-1-3)(x-2)	$y + 1 = \frac{3 - 2}{- 1 - 3} (x - 2)$
190015	Solve the Inequality for x	-20+x>=-7(2x+5)	$- 20 + x \geq - 7 (2 x + 5)$
190016	Divide	((x^2-2x-15)/(2x^2+3x+1))÷((x^2-9)/(x^2-8x-9))	$\frac{x^{2} - 2 x - 15}{2 x^{2} + 3 x + 1} \div \frac{x^{2} - 9}{x^{2} - 8 x - 9}$
190017	Solve the Inequality for x	-2x+3(-4x+6)<=116	$- 2 x + 3 (- 4 x + 6) \leq 116$
190018	Simplify	log base 4 of 1/64	$\log_{4} (\frac{1}{64})$
190019	Factor	4x^2+20x^4-8x	$4 x^{2} + 20 x^{4} - 8 x$
190020	Combine Like Terms	(-7x^2-10x-6)+(-3x^2+x)	$(- 7 x^{2} - 10 x - 6) + (- 3 x^{2} + x)$
190021	Graph	y> = square root of x+4	$y \geq \sqrt{x + 4}$
190022	Graph	y<-1/2x+2 y>=3x-1	$y < - \frac{1}{2} x + 2$ $y \geq 3 x - 1$
190023	Evaluate	4.4-3(3/4+1.125)	$4.4 - 3 (\frac{3}{4} + 1.125)$
190024	Solve the Inequality for x	-x^2-13x-36<=0	$- x^{2} - 13 x - 36 \leq 0$
190025	Graph	f(x)=cos((pix)/2)	$f (x) = \cos (\frac{π x}{2})$
190026	Simplify	((2x^3y^4)/(z^3))^4	${(\frac{2 x^{3} y^{4}}{z^{3}})}^{4}$
190027	Find the Exact Value	sin(540 degrees )	$\sin (540 °)$
190028	Solve for b	a/(a-b)=1	$\frac{a}{a - b} = 1$
190029	Solve Using the Quadratic Formula	y=x^2+2	$y = x^{2} + 2$
190030	Simplify	(1.1)(2.2)(3.3)(3*0)/4	$(1.1) (2.2) (3.3) \frac{3 \cdot 0}{4}$
190031	Evaluate	(pi/3)÷4	$\frac{π}{3} \div 4$
190032	Solve for v	3(v+2)+v=4(v-1)+9	$3 (v + 2) + v = 4 (v - 1) + 9$
190033	Solve for w	3(w+2)+w=4(w-1)+9	$3 (w + 2) + w = 4 (w - 1) + 9$
190034	Evaluate	2(-14+r)-(-3r-5)	$2 (- 14 + r) - (- 3 r - 5)$
190035	Evaluate	sin(2)(pi/2)	$\sin (2) (\frac{π}{2})$
190036	Solve the Inequality for P	7.50+14P<60	$7.5 + 14 P < 60$
190037	Graph	y>-2x+4 and y<=4x-3	$y > - 2 x + 4$ and $y \leq 4 x - 3$
190038	Find f(g(x))	f(x)=x^2+1 and g(x)=x-4	$f (x) = x^{2} + 1$ and $g (x) = x - 4$
190039	Evaluate	-1/(-1/2)	$- \frac{1}{- \frac{1}{2}}$
190040	Solve for x	8(1/2x-1/4)>12-2x	$8 (\frac{1}{2} x - \frac{1}{4}) > 12 - 2 x$
190041	Solve for x	x/(b^3)-2c=5d	$\frac{x}{b^{3}} - 2 c = 5 d$
190042	Subtract	6/(x-2)-(x+5)/(x+3)	$\frac{6}{x - 2} - \frac{x + 5}{x + 3}$
190043	Solve for p	20p^2+33p+16=6	$20 p^{2} + 33 p + 16 = 6$
190044	Find the Domain and Range	(x-1)/(x+2)	$\frac{x - 1}{x + 2}$
190045	Solve for a	(x^(1/4))^5 cube root of x=x^a	${(x^{\frac{1}{4}})}^{5} \sqrt[3]{x} = x^{a}$
190046	Solve for x	(9x-2)/5=2x-2	$\frac{9 x - 2}{5} = 2 x - 2$
190047	Find the Distance Between Two Points	(3,1) and (5,-2)	$(3, 1)$ and $(5, - 2)$
190048	Evaluate	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
190049	Write in Standard Form	M log base 5 of 8	$M \log_{5} (8)$
190050	Solve for x	1/3x-x=1/4x+1	$\frac{1}{3} x - x = \frac{1}{4} x + 1$
190051	Solve for x	6^(1-x)=9	$6^{1 - x} = 9$
190052	Find the Quotient	(2x^2-7x+1)/(x-4)	$\frac{2 x^{2} - 7 x + 1}{x - 4}$
190053	Find the x and y Intercepts	(2x+4)/(-x^2+4)	$\frac{2 x + 4}{- x^{2} + 4}$
190054	Evaluate	6x+7y=4x+4y	$6 x + 7 y = 4 x + 4 y$
190055	Solve the Inequality for x	log base 7 of x>=2	$\log_{7} (x) \geq 2$
190056	Solve the Inequality for q	-5.3>=6.7+4.3+q	$- 5.3 \geq 6.7 + 4.3 + q$
190057	Solve for m	\|2m+7\|=6m+13	$\| 2 m + 7 \| = 6 m + 13$
190058	Find the Product	8/(6n-4)*(9n^2-4)	$\frac{8}{6 n - 4} \cdot (9 n^{2} - 4)$
190059	Simplify	square root of 9* square root of 5* square root of 2	$\sqrt{9} \cdot \sqrt{5} \cdot \sqrt{2}$
190060	Simplify	((5+i)^2)/(3-i)	$\frac{{(5 + i)}^{2}}{3 - i}$
190061	Evaluate	7\|-4-5\|+-1	$7 \| - 4 - 5 \| + - 1$
190062	Simplify	(5y^2)/3*(9x)/(10y)	$\frac{5 y^{2}}{3} \cdot \frac{9 x}{10 y}$
190063	Simplify	(x+4)/((x+4)^2+1)	$\frac{x + 4}{{(x + 4)}^{2} + 1}$
190064	Divide	(2/5)÷(9/10)	$\frac{2}{5} \div \frac{9}{10}$
190065	Find the Roots (Zeros)	10x^2-6x+4=-3x	$10 x^{2} - 6 x + 4 = - 3 x$
190066	Find the Exact Value	cos(15 degrees )^2-sin(15 degrees )^2	$\cos^{2} (15 °) - \sin^{2} (15 °)$
190067	Graph	y<=2x-2 y<=x^2-3x	$y \leq 2 x - 2$ $y \leq x^{2} - 3 x$
190068	Solve for h	-4(5h+7)+16h=40	$- 4 (5 h + 7) + 16 h = 40$
190069	Divide	((6x^2-18)/(12x))÷((x^2-3x+18)/(x^2-7x+6))	$\frac{6 x^{2} - 18}{12 x} \div \frac{x^{2} - 3 x + 18}{x^{2} - 7 x + 6}$
190070	Evaluate	--3^2	$- - 3^{2}$
190071	Simplify	-3x^2+4x+10 from 2x^2-2x	$- 3 x^{2} + 4 x + 10$ from $2 x^{2} - 2 x$
190072	Find All Complex Solutions	3+3x-1=x+2+2x	$3 + 3 x - 1 = x + 2 + 2 x$
190073	Solve for x	3x^(2/3)=0	$3 x^{\frac{2}{3}} = 0$
190074	Simplify	(2a)/(bc)+a/(bc)	$\frac{2 a}{b c} + \frac{a}{b c}$
190075	Solve the Inequality for x	2/3x+14-3x>-7	$\frac{2}{3} x + 14 - 3 x > - 7$
190076	Find the Roots (Zeros)	f(x)=2(x-5)(x+1)(x+8)	$f (x) = 2 (x - 5) (x + 1) (x + 8)$
190077	Simplify	(3x^2y)/(6xy)	$\frac{3 x^{2} y}{6 x y}$
190078	Simplify	(5^2-4)/(5+2)	$\frac{5^{2} - 4}{5 + 2}$
190079	Evaluate	2sec(0)^2tan(0)	$2 \sec^{2} (0) \tan (0)$
190080	Describe the Transformation	h(x)=f(x+c)	$h (x) = f (x + c)$
190081	Solve for x	3x+1=(6x+2)/2	$3 x + 1 = \frac{6 x + 2}{2}$
190082	Simplify	(x-3)/(5x)+1/(x+2)	$\frac{x - 3}{5 x} + \frac{1}{x + 2}$
190083	Solve for θ	4sin(theta)^2-4sin(theta)+1=0	$4 \sin^{2} (θ) - 4 \sin (θ) + 1 = 0$
190084	Graph	y>=3\|x+1\|	$y \geq 3 \| x + 1 \|$
190085	Combine Like Terms	6t+7-2+t	$6 t + 7 - 2 + t$
190086	Solve for m	7(2m+3)-5m=2(4m+8)+9 ?	$7 (2 m + 3) - 5 m = 2 (4 m + 8) + 9$ ?
190087	Simplify	((2xz^3)/(3x^2y^3))^-4	${(\frac{2 x z^{3}}{3 x^{2} y^{3}})}^{- 4}$
190088	Find All Complex Solutions	sin(x)^2-1/2=0	$\sin^{2} (x) - \frac{1}{2} = 0$
190089	Evaluate	2-x=x-8	$2 - x = x - 8$
190090	Convert to a Percentage	1/25*100%	$\frac{1}{25} \cdot 100 %$
190091	Graph	4-2x<=0	$4 - 2 x \leq 0$
190092	Evaluate	(1^-2)/2	$\frac{1^{- 2}}{2}$
190093	Simplify	square root of 9i^4	$\sqrt{9 i^{4}}$
190094	Solve for a	x/a+y/b=1	$\frac{x}{a} + \frac{y}{b} = 1$
190095	Write in Standard Form	8x+6x^2-7=x^2	$8 x + 6 x^{2} - 7 = x^{2}$
190096	Graph	f(x)=1/2x^6+x^5	$f (x) = \frac{1}{2} x^{6} + x^{5}$
190097	Solve the Inequality for x	5x+x^2>100	$5 x + x^{2} > 100$
190098	Solve for x	22 = square root of x+9+10	$22 = \sqrt{x + 9} + 10$
190099	Find the Distance Between Two Points	(0,-8) and (-5,4)	$(0, - 8)$ and $(- 5, 4)$
190100	Solve for x	x/(2x+9)=3/x	$\frac{x}{2 x + 9} = \frac{3}{x}$