Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190001	Simplify	3x-(4-2x+(x-9)+7x)	$3 x - (4 - 2 x + (x - 9) + 7 x)$
190002	Write in Standard Form	x^2=0	$x^{2} = 0$
190003	Solve the Inequality for x	(2x-10)/((x-2)(x-8))<0	$\frac{2 x - 10}{(x - 2) (x - 8)} < 0$
190004	Multiply	2x^3y^2(3x^2-5x^2y^2+4y^2)	$2 x^{3} y^{2} (3 x^{2} - 5 x^{2} y^{2} + 4 y^{2})$
190005	Solve for x	(x-m)/n=2-(x-n)/m	$\frac{x - m}{n} = 2 - \frac{x - n}{m}$
190006	Evaluate	4-5+6÷2*7	$4 - 5 + 6 \div 2 \cdot 7$
190007	Factor	x^3-30x+x^5	$x^{3} - 30 x + x^{5}$
190008	Subtract	3x+5x-x+7	$3 x + 5 x - x + 7$
190009	Find the Roots (Zeros)	f(x) = square root of 4x+1-4	$f (x) = \sqrt{4 x + 1} - 4$
190010	Evaluate	2/3(9x+6)=6x+4	$\frac{2}{3} (9 x + 6) = 6 x + 4$
190011	Solve the Absolute Value Inequality for z	\|2z-3\|=4z-1	$\| 2 z - 3 \| = 4 z - 1$
190012	Solve by Factoring	7x^2+8x=x^2	$7 x^{2} + 8 x = x^{2}$
190013	Simplify	-7/2+1/2i	$\frac{- 7}{2} + \frac{1}{2} i$
190014	Solve for c	(1/4)^(c-2)=64	${(\frac{1}{4})}^{c - 2} = 64$
190015	Find the Domain and Range	f(x)=2(x-4/7)^2+8/11	$f (x) = 2 {(x - \frac{4}{7})}^{2} + \frac{8}{11}$
190016	Simplify	cos(x)^2(tan(x)^2+1)	$\cos^{2} (x) (\tan^{2} (x) + 1)$
190017	Find the Distance Between Two Points	(3,8) and (-5,5)	$(3, 8)$ and $(- 5, 5)$
190018	Solve for x	x/(x+4)=20/(x^2+3x-4)+2/(x-1)	$\frac{x}{x + 4} = \frac{20}{x^{2} + 3 x - 4} + \frac{2}{x - 1}$
190019	Solve for x	1+5/(x-2)=2/(x^2-4)	$1 + \frac{5}{x - 2} = \frac{2}{x^{2} - 4}$
190020	Write in Standard Form	(-2,0) and (0,5)	$(- 2, 0)$ and $(0, 5)$
190021	Find All Complex Solutions	sin(theta)-cos(theta) = square root of 2	$\sin (θ) - \cos (θ) = \sqrt{2}$
190022	Find the Exact Value	sec(765 degrees )	$\sec (765 °)$
190023	Multiply	6x^2-4x-5*2x^2+3x	$6 x^{2} - 4 x - 5 \cdot 2 x^{2} + 3 x$
190024	Solve for x	x-3(2x-(x+1)+5(1-x))=x+(3x-7)-(x+3)	$x - 3 (2 x - (x + 1) + 5 (1 - x)) = x + (3 x - 7) - (x + 3)$
190025	Simplify the Radical Expression	(4^11)/(4^-8)	$\frac{4^{11}}{4^{- 8}}$
190026	Solve for x	y=(x-8)*m	$y = (x - 8) \cdot m$
190027	Evaluate Using the Given Value	p/4+pq when p=8 and q=6	$\frac{p}{4} + p q$ when $p = 8$ and $q = 6$
190028	Solve the System of Equations	2x-y+z=-3 x+2y-z=5 5x+5y-2z=12	$2 x - y + z = - 3$ $x + 2 y - z = 5$ $5 x + 5 y - 2 z = 12$
190029	Write in Slope-Intercept Form	y+1=(3-2)/(-1-3)(x-2)	$y + 1 = \frac{3 - 2}{- 1 - 3} (x - 2)$
190030	Solve the Inequality for x	-20+x>=-7(2x+5)	$- 20 + x \geq - 7 (2 x + 5)$
190031	Divide	((x^2-2x-15)/(2x^2+3x+1))÷((x^2-9)/(x^2-8x-9))	$\frac{x^{2} - 2 x - 15}{2 x^{2} + 3 x + 1} \div \frac{x^{2} - 9}{x^{2} - 8 x - 9}$
190032	Solve the Inequality for x	-2x+3(-4x+6)<=116	$- 2 x + 3 (- 4 x + 6) \leq 116$
190033	Simplify	log base 4 of 1/64	$\log_{4} (\frac{1}{64})$
190034	Factor	4x^2+20x^4-8x	$4 x^{2} + 20 x^{4} - 8 x$
190035	Combine Like Terms	(-7x^2-10x-6)+(-3x^2+x)	$(- 7 x^{2} - 10 x - 6) + (- 3 x^{2} + x)$
190036	Graph	y> = square root of x+4	$y \geq \sqrt{x + 4}$
190037	Graph	y<-1/2x+2 y>=3x-1	$y < - \frac{1}{2} x + 2$ $y \geq 3 x - 1$
190038	Evaluate	4.4-3(3/4+1.125)	$4.4 - 3 (\frac{3}{4} + 1.125)$
190039	Solve the Inequality for x	-x^2-13x-36<=0	$- x^{2} - 13 x - 36 \leq 0$
190040	Graph	f(x)=cos((pix)/2)	$f (x) = \cos (\frac{π x}{2})$
190041	Simplify	((2x^3y^4)/(z^3))^4	${(\frac{2 x^{3} y^{4}}{z^{3}})}^{4}$
190042	Find the Exact Value	sin(540 degrees )	$\sin (540 °)$
190043	Solve for b	a/(a-b)=1	$\frac{a}{a - b} = 1$
190044	Solve Using the Quadratic Formula	y=x^2+2	$y = x^{2} + 2$
190045	Simplify	(1.1)(2.2)(3.3)(3*0)/4	$(1.1) (2.2) (3.3) \frac{3 \cdot 0}{4}$
190046	Evaluate	(pi/3)÷4	$\frac{π}{3} \div 4$
190047	Solve for v	3(v+2)+v=4(v-1)+9	$3 (v + 2) + v = 4 (v - 1) + 9$
190048	Solve for w	3(w+2)+w=4(w-1)+9	$3 (w + 2) + w = 4 (w - 1) + 9$
190049	Evaluate	2(-14+r)-(-3r-5)	$2 (- 14 + r) - (- 3 r - 5)$
190050	Evaluate	sin(2)(pi/2)	$\sin (2) (\frac{π}{2})$
190051	Solve the Inequality for P	7.50+14P<60	$7.5 + 14 P < 60$
190052	Graph	y>-2x+4 and y<=4x-3	$y > - 2 x + 4$ and $y \leq 4 x - 3$
190053	Find f(g(x))	f(x)=x^2+1 and g(x)=x-4	$f (x) = x^{2} + 1$ and $g (x) = x - 4$
190054	Evaluate	-1/(-1/2)	$- \frac{1}{- \frac{1}{2}}$
190055	Solve for x	8(1/2x-1/4)>12-2x	$8 (\frac{1}{2} x - \frac{1}{4}) > 12 - 2 x$
190056	Solve for x	x/(b^3)-2c=5d	$\frac{x}{b^{3}} - 2 c = 5 d$
190057	Subtract	6/(x-2)-(x+5)/(x+3)	$\frac{6}{x - 2} - \frac{x + 5}{x + 3}$
190058	Solve for p	20p^2+33p+16=6	$20 p^{2} + 33 p + 16 = 6$
190059	Find the Domain and Range	(x-1)/(x+2)	$\frac{x - 1}{x + 2}$
190060	Solve for a	(x^(1/4))^5 cube root of x=x^a	${(x^{\frac{1}{4}})}^{5} \sqrt[3]{x} = x^{a}$
190061	Solve for x	(9x-2)/5=2x-2	$\frac{9 x - 2}{5} = 2 x - 2$
190062	Find the Distance Between Two Points	(3,1) and (5,-2)	$(3, 1)$ and $(5, - 2)$
190063	Evaluate	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
190064	Write in Standard Form	M log base 5 of 8	$M \log_{5} (8)$
190065	Solve for x	1/3x-x=1/4x+1	$\frac{1}{3} x - x = \frac{1}{4} x + 1$
190066	Solve for x	6^(1-x)=9	$6^{1 - x} = 9$
190067	Find the Quotient	(2x^2-7x+1)/(x-4)	$\frac{2 x^{2} - 7 x + 1}{x - 4}$
190068	Find the x and y Intercepts	(2x+4)/(-x^2+4)	$\frac{2 x + 4}{- x^{2} + 4}$
190069	Evaluate	6x+7y=4x+4y	$6 x + 7 y = 4 x + 4 y$
190070	Solve the Inequality for x	log base 7 of x>=2	$\log_{7} (x) \geq 2$
190071	Solve the Inequality for q	-5.3>=6.7+4.3+q	$- 5.3 \geq 6.7 + 4.3 + q$
190072	Solve for m	\|2m+7\|=6m+13	$\| 2 m + 7 \| = 6 m + 13$
190073	Find the Product	8/(6n-4)*(9n^2-4)	$\frac{8}{6 n - 4} \cdot (9 n^{2} - 4)$
190074	Simplify	square root of 9* square root of 5* square root of 2	$\sqrt{9} \cdot \sqrt{5} \cdot \sqrt{2}$
190075	Simplify	((5+i)^2)/(3-i)	$\frac{{(5 + i)}^{2}}{3 - i}$
190076	Evaluate	7\|-4-5\|+-1	$7 \| - 4 - 5 \| + - 1$
190077	Simplify	(5y^2)/3*(9x)/(10y)	$\frac{5 y^{2}}{3} \cdot \frac{9 x}{10 y}$
190078	Simplify	(x+4)/((x+4)^2+1)	$\frac{x + 4}{{(x + 4)}^{2} + 1}$
190079	Divide	(2/5)÷(9/10)	$\frac{2}{5} \div \frac{9}{10}$
190080	Find the Roots (Zeros)	10x^2-6x+4=-3x	$10 x^{2} - 6 x + 4 = - 3 x$
190081	Find the Exact Value	cos(15 degrees )^2-sin(15 degrees )^2	$\cos^{2} (15 °) - \sin^{2} (15 °)$
190082	Graph	y<=2x-2 y<=x^2-3x	$y \leq 2 x - 2$ $y \leq x^{2} - 3 x$
190083	Solve for h	-4(5h+7)+16h=40	$- 4 (5 h + 7) + 16 h = 40$
190084	Divide	((6x^2-18)/(12x))÷((x^2-3x+18)/(x^2-7x+6))	$\frac{6 x^{2} - 18}{12 x} \div \frac{x^{2} - 3 x + 18}{x^{2} - 7 x + 6}$
190085	Evaluate	--3^2	$- - 3^{2}$
190086	Simplify	-3x^2+4x+10 from 2x^2-2x	$- 3 x^{2} + 4 x + 10$ from $2 x^{2} - 2 x$
190087	Find All Complex Solutions	3+3x-1=x+2+2x	$3 + 3 x - 1 = x + 2 + 2 x$
190088	Solve for x	3x^(2/3)=0	$3 x^{\frac{2}{3}} = 0$
190089	Simplify	(2a)/(bc)+a/(bc)	$\frac{2 a}{b c} + \frac{a}{b c}$
190090	Solve the Inequality for x	2/3x+14-3x>-7	$\frac{2}{3} x + 14 - 3 x > - 7$
190091	Find the Roots (Zeros)	f(x)=2(x-5)(x+1)(x+8)	$f (x) = 2 (x - 5) (x + 1) (x + 8)$
190092	Simplify	(3x^2y)/(6xy)	$\frac{3 x^{2} y}{6 x y}$
190093	Simplify	(5^2-4)/(5+2)	$\frac{5^{2} - 4}{5 + 2}$
190094	Evaluate	2sec(0)^2tan(0)	$2 \sec^{2} (0) \tan (0)$
190095	Describe the Transformation	h(x)=f(x+c)	$h (x) = f (x + c)$
190096	Solve for x	3x+1=(6x+2)/2	$3 x + 1 = \frac{6 x + 2}{2}$
190097	Simplify	(x-3)/(5x)+1/(x+2)	$\frac{x - 3}{5 x} + \frac{1}{x + 2}$
190098	Solve for θ	4sin(theta)^2-4sin(theta)+1=0	$4 \sin^{2} (θ) - 4 \sin (θ) + 1 = 0$
190099	Graph	y>=3\|x+1\|	$y \geq 3 \| x + 1 \|$
190100	Combine Like Terms	6t+7-2+t	$6 t + 7 - 2 + t$