Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178801	Evaluate	7-9+(9-5)^2-4(2+4)/(-5-1)+8-3100	$7 - 9 + {(9 - 5)}^{2} - 4 \cdot \frac{2 + 4}{- 5 - 1} + 8 - 3 \cdot 100$
178802	Solve the Inequality for y	4.2y<=-12.6	$4.2 y \leq - 12.6$
178803	Solve for x	6.1=4^(x/6-1)	$6.1 = 4^{\frac{x}{6} - 1}$
178804	Evaluate	2(\|-3\|+\|-1\|)	$2 (\| - 3 \| + \| - 1 \|)$
178805	Simplify	(9/8)^(3/2)	${(\frac{9}{8})}^{\frac{3}{2}}$
178806	Expand the Logarithmic Expression	log of (x^5z)/( cube root of y^4)	$\log (\frac{x^{5} z}{\sqrt[3]{y^{4}}})$
178807	Find the Exact Value	sin(30 degrees )+cos(45 degrees )	$\sin (30 °) + \cos (45 °)$
178808	Solve for x	-ax=b-c	$- a x = b - c$
178809	Find the Domain and Range	y=(x^2-4)/x	$y = \frac{x^{2} - 4}{x}$
178810	Solve the Inequality for d	(d-2)/25>d/10-1/2	$\frac{d - 2}{25} > \frac{d}{10} - \frac{1}{2}$
178811	Solve for n	2n^2=10n+48	$2 n^{2} = 10 n + 48$
178812	Find the Function	f(x)=x^2-6x+8	$f (x) = x^{2} - 6 x + 8$
178813	Solve the Inequality for y	-18-5y>=52	$- 18 - 5 y \geq 52$
178814	Simplify	(2+i)/(7+i)	$\frac{2 + i}{7 + i}$
178815	Graph	y>1/2x+2 y<=-3x-5	$y > \frac{1}{2} x + 2$ $y \leq - 3 x - 5$
178816	Solve for b	square root of b-17+ square root of b=1	$\sqrt{b - 17} + \sqrt{b} = 1$
178817	Multiply	[[-1,2,4]]*[[3,6,1],[2,4,0],[0,6,2]]	$[\begin{array}{c} - 1 & 2 & 4 \end{array}] \times [\begin{array}{c} 3 & 6 & 1 \\ 2 & 4 & 0 \\ 0 & 6 & 2 \end{array}]$
178818	Solve the Inequality for x	2x^2-1>6x	$2 x^{2} - 1 > 6 x$
178819	Solve for w	2^(w+4)*2^(4w+6)=2^(2w+1)	$2^{w + 4} \cdot 2^{4 w + 6} = 2^{2 w + 1}$
178820	Simplify	-2*(4+4i)	$- 2 \cdot (4 + 4 i)$
178821	Write in Slope-Intercept Form	y=2(5x+1)+3(5x+3)	$y = 2 (5 x + 1) + 3 (5 x + 3)$
178822	Find the Equation of the Circle	Center (-8,6) , r=10	Center $(- 8, 6)$ , $r = 10$
178823	Graph	P(x)=-15x(x-8)	$P (x) = - 15 x (x - 8)$
178824	Solve for a	x^(3/2)x^(5/4)=x^a	$x^{\frac{3}{2}} x^{\frac{5}{4}} = x^{a}$
178825	Solve for x	(3x-140)^(1/2)=(x/5)^(1/2)	${(3 x - 140)}^{\frac{1}{2}} = {(\frac{x}{5})}^{\frac{1}{2}}$
178826	Graph	f(x)=[x-2]	$f (x) = [x - 2]$
178827	Graph	-7x+7<=-56	$- 7 x + 7 \leq - 56$
178828	Simplify	((5^4)^6)/(5^2)	$\frac{{(5^{4})}^{6}}{5^{2}}$
178829	Solve for A	3^x-3^(x-2)=A*3^x	$3^{x} - 3^{x - 2} = A \cdot 3^{x}$
178830	Solve for x	3tan(x) = square root of 3	$3 \tan (x) = \sqrt{3}$
178831	Factor by Grouping	a^2b+2ab-a-2	$a^{2} b + 2 a b - a - 2$
178832	Simplify	x+y-(x^2-y^2)/(x-y)	$x + y - \frac{x^{2} - y^{2}}{x - y}$
178833	Find the Exact Value	81^(1/4)	$81^{\frac{1}{4}}$
178834	Write in Slope-Intercept Form	(1,4) and (6,-1)	$(1, 4)$ and $(6, - 1)$
178835	Find the Holes in the Graph	f(x)=(x+10)/(6x-14)	$f (x) = \frac{x + 10}{6 x - 14}$
178836	Solve the Inequality for y	(3y)/2-y/3>=2	$\frac{3 y}{2} - \frac{y}{3} \geq 2$
178837	Graph	(y^2)/16-(x+4)^2=1	$\frac{y^{2}}{16} - {(x + 4)}^{2} = 1$
178838	Solve for x	2^(2x)+2^x-2=0	$2^{2 x} + 2^{x} - 2 = 0$
178839	Evaluate	(8(4)-2*-7)/(10(4)(-7))	$\frac{8 (4) - 2 \cdot - 7}{10 (4) (- 7)}$
178840	Evaluate	((4m^2n)^2)/(2m^5n)	$\frac{{(4 m^{2} n)}^{2}}{2 m^{5} n}$
178841	Solve the Inequality for x	x^2-169<0	$x^{2} - 169 < 0$
178842	Write in Standard Form	9x-16=3x-x^2	$9 x - 16 = 3 x - x^{2}$
178843	Solve for x	4(7x-1)=3(2x+1)-4(x+6)	$4 (7 x - 1) = 3 (2 x + 1) - 4 (x + 6)$
178844	Solve the System of Equations	y=2x-1 y=-x+5	$y = 2 x - 1$ $y = - x + 5$
178845	Solve for x	(x-7)/(2x-6) square root of x-3=0	$\frac{x - 7}{2 x - 6} \sqrt{x - 3} = 0$
178846	Graph	y=-x+3 y=3/2x-2	$y = - x + 3$ $y = \frac{3}{2} x - 2$
178847	Find the Exact Value	(f+g)(3)	$(f + g) (3)$
178848	Simplify	cos(x)^2*cos(x)^2	$\cos^{2} (x) \cdot \cos^{2} (x)$
178849	Simplify	xy^3 square root of 25x^7y^4	$x y^{3} \sqrt{25 x^{7} y^{4}}$
178850	Solve for r	24>-3r>=-9	$24 > - 3 r \geq - 9$
178851	Simplify	1/5(15+10k)	$\frac{1}{5} (15 + 10 k)$
178852	Evaluate	f(-1)=4^-1	$f (- 1) = 4^{- 1}$
178853	Solve the Inequality for x	\|x-2\|>=3	$\| x - 2 \| \geq 3$
178854	Evaluate	arccsc(-(2 square root of 3)/3)	$arccsc (- \frac{2 \sqrt{3}}{3})$
178855	Solve for x	1/6x-2/3=1/2x-5/6	$\frac{1}{6} x - \frac{2}{3} = \frac{1}{2} x - \frac{5}{6}$
178856	Simplify	7y^3 square root of 180x^3y^2	$7 y^{3} \sqrt{180 x^{3} y^{2}}$
178857	Solve for f	16f+24=8(2f+3)	$16 f + 24 = 8 (2 f + 3)$
178858	Graph	y<-x+5 y<=2x-1	$y < - x + 5$ $y \leq 2 x - 1$
178859	Solve for a	x^3x^(4/3)=x^a	$x^{3} x^{\frac{4}{3}} = x^{a}$
178860	Graph	y=1/3 square root of -x+5	$y = \frac{1}{3} \sqrt{- x} + 5$
178861	Expand the Logarithmic Expression	log base square root of a of a^2	$\log_{\sqrt{a}} (a^{2})$
178862	Solve for x	12(1-4^x)=18	$12 (1 - 4^{x}) = 18$
178863	Find the Roots (Zeros)	f(x)=-4/x+1	$f (x) = \frac{- 4}{x} + 1$
178864	Solve for d	3(d-8)=3d	$3 (d - 8) = 3 d$
178865	Evaluate	cos(theta)^2-sin(theta)^2	$\cos^{2} (θ) - \sin^{2} (θ)$
178866	Find the Exact Value	sin(pi/4)+cos(pi/4)	$\sin (\frac{π}{4}) + \cos (\frac{π}{4})$
178867	Graph	3x+12-6x<=-9	$3 x + 12 - 6 x \leq - 9$
178868	Simplify	(16^(5/4)*16^(1/4))/((16^(1/2))^2)	$\frac{16^{\frac{5}{4}} \cdot 16^{\frac{1}{4}}}{{(16^{\frac{1}{2}})}^{2}}$
178869	Write in Standard Form	-x-4=-3x^2	$- x - 4 = - 3 x^{2}$
178870	Evaluate	square root of x^3* square root of x	$\sqrt{x^{3}} \cdot \sqrt{x}$
178871	Solve for x	2+7/(x-3)=1/(x^2-3x)	$2 + \frac{7}{x - 3} = \frac{1}{x^{2} - 3 x}$
178872	Solve Using the Quadratic Formula	3x^2=0	$3 x^{2} = 0$
178873	Factor	-x^5+52x^3+2x^2-147x-98	$- x^{5} + 52 x^{3} + 2 x^{2} - 147 x - 98$
178874	Solve the Inequality for r	r-14>=17	$r - 14 \geq 17$
178875	Solve for x	(x+1)^((x+1)^3)=3	${(x + 1)}^{{(x + 1)}^{3}} = 3$
178876	Evaluate	f(x)=-2^2	$f (x) = - 2^{2}$
178877	Solve for x	3(x+3(4x-5))=15x-24	$3 (x + 3 (4 x - 5)) = 15 x - 24$
178878	Evaluate	1/2(3)+1	$\frac{1}{2} (3) + 1$
178879	Solve for x	x^2+9=6x	$x^{2} + 9 = 6 x$
178880	Graph	y=-(-x)^2+1	$y = - {(- x)}^{2} + 1$
178881	Graph	2/3x-5>3	$\frac{2}{3} x - 5 > 3$
178882	Factor	(a+b)^4-(a-b)^4	${(a + b)}^{4} - {(a - b)}^{4}$
178883	Solve for a	(x^3)/(x^(1/2))=x^a	$\frac{x^{3}}{x^{\frac{1}{2}}} = x^{a}$
178884	Solve for x	10x=10/x	$10 x = \frac{10}{x}$
178885	Solve for x	16x+8>=12x+20	$16 x + 8 \geq 12 x + 20$
178886	Solve for x	3x-11+(3-2y)i=4-i	$3 x - 11 + (3 - 2 y) i = 4 - i$
178887	Simplify	(35n-7)/(5n^2-n)-(15n-3)/(5n^2-n)	$\frac{35 n - 7}{5 n^{2} - n} - \frac{15 n - 3}{5 n^{2} - n}$
178888	Write in Standard Form	(2x^2)/5+(5x)/4=3	$\frac{2 x^{2}}{5} + \frac{5 x}{4} = 3$
178889	Write in Standard Form	square root of -4- square root of -36	$\sqrt{- 4} - \sqrt{- 36}$
178890	Solve the Absolute Value Inequality for p	2-9\|p+7\|>-16	$2 - 9 \| p + 7 \| > - 16$
178891	Find the Perfect Square Trinomial	x^2+2x-1	$x^{2} + 2 x - 1$
178892	Write in Standard Form	4x^2-3x=-12	$4 x^{2} - 3 x = - 12$
178893	Solve for a	(x^(4/3))^(5/2)=x^a	${(x^{\frac{4}{3}})}^{\frac{5}{2}} = x^{a}$
178894	Solve for x	(2x-1)/4=-x+1	$\frac{2 x - 1}{4} = - x + 1$
178895	Graph	(-2,pi/4)	$(- 2, \frac{π}{4})$
178896	Simplify	(2x^5-y^5)^2	${(2 x^{5} - y^{5})}^{2}$
178897	Solve for x	4(2x-3)+4=8x-8	$4 (2 x - 3) + 4 = 8 x - 8$
178898	Graph	y<\|x-2\|	$y < \| x - 2 \|$
178899	Simplify	((a^3b^2)/(7a^-4b^3))^-2	${(\frac{a^{3} b^{2}}{7 a^{- 4} b^{3}})}^{- 2}$
178900	Solve for x	-3x-6x=6+x-7x	$- 3 x - 6 x = 6 + x - 7 x$