Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217601	Simplify	5/(4x)-x/5	$\frac{5}{4 x} - \frac{x}{5}$
217602	Graph	y=-4/3x-5 x=-3	$y = - \frac{4}{3} x - 5$ $x = - 3$
217603	Simplify	2(2x^2+2x-7)-7	$2 (2 x^{2} + 2 x - 7) - 7$
217604	Solve the System of Equations	5x-7y=16 and x+7y=8	$5 x - 7 y = 16$ and $x + 7 y = 8$
217605	Describe the Transformation	f(x) = square root of x , g(x)=2 square root of x-1	$f (x) = \sqrt{x}$ , $g (x) = 2 \sqrt{x - 1}$
217606	Simplify	((3b+1)^5)^5	${({(3 b + 1)}^{5})}^{5}$
217607	Simplify	(2xy)^3x^2	${(2 x y)}^{3} x^{2}$
217608	Solve by Addition/Elimination	5x-7y=16 and x+7y=8	$5 x - 7 y = 16$ and $x + 7 y = 8$
217609	Evaluate	13/5212/5126/50	$\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{26}{50}$
217610	Simplify	(t^(2/3))/(5t^(1/2)*t^(-3/4))	$\frac{t^{\frac{2}{3}}}{5 t^{\frac{1}{2}} \cdot t^{- \frac{3}{4}}}$
217611	Solve for x	1+3/(x+9)=x/(x^2+15x+54)	$1 + \frac{3}{x + 9} = \frac{x}{x^{2} + 15 x + 54}$
217612	Solve for x	(2x-3)^(1/3)=(x+5)^(1/3)	${(2 x - 3)}^{\frac{1}{3}} = {(x + 5)}^{\frac{1}{3}}$
217613	Subtract	(1.5y^3+4.8y^2+12)-(y^3-1.7y^2+2y)	$(1.5 y^{3} + 4.8 y^{2} + 12) - (y^{3} - 1.7 y^{2} + 2 y)$
217614	Evaluate	-2^-3*(-2)^0	$- 2^{- 3} \cdot {(- 2)}^{0}$
217615	Write in Exponential Form	1/(( fourth root of n)^7)	$\frac{1}{{(\sqrt[4]{n})}^{7}}$
217616	Graph	f(x)=x^2(x+2)(x-6)(x-3)	$f (x) = x^{2} (x + 2) (x - 6) (x - 3)$
217617	Find the Product	(4-5x)(1-2x)(3x+2)	$(4 - 5 x) (1 - 2 x) (3 x + 2)$
217618	Graph	y=(x+3)(x-2)(3x-1)(2x+1)	$y = (x + 3) (x - 2) (3 x - 1) (2 x + 1)$
217619	Simplify	cube root of square root of x^24	$\sqrt[3]{\sqrt{x^{24}}}$
217620	Solve for q	2/7=4/5+9q	$\frac{2}{7} = \frac{4}{5} + 9 q$
217621	Expand the Logarithmic Expression	log base m of m^(2n)	$\log_{m} (m^{2 n})$
217622	Write in Exponential Form	3 square root of x^4	$3 \sqrt{x^{4}}$
217623	Simplify	(-3a^3)^3*(4a)^0	${(- 3 a^{3})}^{3} \cdot {(4 a)}^{0}$
217624	Simplify	(2x(x-2))/((x-2)(x+5))	$\frac{2 x (x - 2)}{(x - 2) (x + 5)}$
217625	Graph	5x+2y>3y	$5 x + 2 y > 3 y$
217626	Simplify	2e^(3 natural log of x+1)	$2 e^{3 \ln (x + 1)}$
217627	Simplify	(-2z-3)+(4c+6y)+(7+3c)	$(- 2 z - 3) + (4 c + 6 y) + (7 + 3 c)$
217628	Simplify the Radical Expression	2 square root of 20- square root of 20+3 square root of 20-2 square root of 45	$2 \sqrt{20} - \sqrt{20} + 3 \sqrt{20} - 2 \sqrt{45}$
217629	Factor	3x^3y-12xy	$3 x^{3} y - 12 x y$
217630	Find the Slope and y-intercept	x=y	$x = y$
217631	Find the Equation Using Slope-Intercept Form	point: (7,3) ; slope: 4/7	point: $(7, 3)$ ; slope: $\frac{4}{7}$
217632	Solve for x	10x=4x^2-6	$10 x = 4 x^{2} - 6$
217633	Evaluate	-2^-24^33^0	$- 2^{- 2} \cdot 4^{3} \cdot 3^{0}$
217634	Find the Exact Value	sin(2arccos(1))	$\sin (2 \arccos (1))$
217635	Simplify	(2 square root of x+2)( square root of x+3)	$(2 \sqrt{x} + 2) (\sqrt{x} + 3)$
217636	Find the Exact Value	(sin((19pi)/3))/(sec((17pi)/6))	$\frac{\sin (\frac{19 π}{3})}{\sec (\frac{17 π}{6})}$
217637	Evaluate	i^13i^14i^22	$i^{13} \cdot i^{14} \cdot i^{22}$
217638	Simplify	square root of p^3 cube root of p^11	$\sqrt{p^{3}} \sqrt[3]{p^{11}}$
217639	Simplify	sin(A)+cos(A)*tan(A)	$\sin (A) + \cos (A) \cdot \tan (A)$
217640	Simplify	((16a^2-24a+9)/(4a^2+17a-15))÷((16a^2-9)/(4a^2+11a+6))	$\frac{16 a^{2} - 24 a + 9}{4 a^{2} + 17 a - 15} \div \frac{16 a^{2} - 9}{4 a^{2} + 11 a + 6}$
217641	Solve for y	3y^2+y=0	$3 y^{2} + y = 0$
217642	Simplify	(-5x+5y)/(y-x)	$\frac{- 5 x + 5 y}{y - x}$
217643	Simplify	((-3a^2b^4)^2)/(3(a^2b)^3)	$\frac{{(- 3 a^{2} b^{4})}^{2}}{3 {(a^{2} b)}^{3}}$
217644	Write in Standard Form	3z-7z^2-5z+5z^2+2z^2	$3 z - 7 z^{2} - 5 z + 5 z^{2} + 2 z^{2}$
217645	Evaluate	(( square root of 2)/2)(( square root of 2)/2)	$(\frac{\sqrt{2}}{2}) (\frac{\sqrt{2}}{2})$
217646	Graph	x^2+y^2=4^2	$x^{2} + y^{2} = 4^{2}$
217647	Write in y=mx+b Form	(2,1) and (5,-8)	$(2, 1)$ and $(5, - 8)$
217648	Graph	Graph x=-1	Graph $x = - 1$
217649	Write the Fraction in Simplest Form	(10k^10)/((2k^-2)^-3)	$\frac{10 k^{10}}{{(2 k^{- 2})}^{- 3}}$
217650	Solve the Inequality for x	(\|2x-5\|)/3>1	$\frac{\| 2 x - 5 \|}{3} > 1$
217651	Solve the Inequality for x	(x^2+6x)/(x-2)>0	$\frac{x^{2} + 6 x}{x - 2} > 0$
217652	Simplify	(x^(1/2)y^2)/( square root of 4x^5y)	$\frac{x^{\frac{1}{2}} y^{2}}{\sqrt{4 x^{5} y}}$
217653	Solve the System of Equations	2x-4y+2z=16 -2x+5y+2z=-34 x-2y+2z=4	$2 x - 4 y + 2 z = 16$ $- 2 x + 5 y + 2 z = - 34$ $x - 2 y + 2 z = 4$
217654	Write in Standard Form	(2x^2+7x-4)+(-10x-4)	$(2 x^{2} + 7 x - 4) + (- 10 x - 4)$
217655	Solve for x	2/3x-5/6=-1/2	$\frac{2}{3} x - \frac{5}{6} = - \frac{1}{2}$
217656	Simplify	3/(y^2-3y+2)+5/(y-1)	$\frac{3}{y^{2} - 3 y + 2} + \frac{5}{y - 1}$
217657	Simplify	5.5+7((6.3+2.1)*4+(10-4)÷2)	$5.5 + 7 ((6.3 + 2.1) \times 4 + (10 - 4) \div 2)$
217658	Divide	(20 square root of 3)/(5 square root of 3)	$\frac{20 \sqrt{3}}{5 \sqrt{3}}$
217659	Simplify	(x-7)/-9(18x-2x^2)/(2x^2-32x+126)3/9	$\frac{x - 7}{- 9} \cdot \frac{18 x - 2 x^{2}}{2 x^{2} - 32 x + 126} \cdot \frac{3}{9}$
217660	Simplify	Find the sum of -10x^2-x+6 and 10x^2-5	Find the sum of $- 10 x^{2} - x + 6$ and $10 x^{2} - 5$
217661	Simplify	4xy-13x^2y+7-7x^2y^2+12xy^2-3x^2y+11	$4 x y - 13 x^{2} y + 7 - 7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11$
217662	Evaluate	1+2cot(theta)^2+cot(theta)^4=csc(theta)^n	$1 + 2 \cot^{2} (θ) + \cot^{4} (θ) = {\csc (θ)}^{n}$
217663	Subtract	(p^2-9p)/(p^2-4p-45)-2/(p+5)	$\frac{p^{2} - 9 p}{p^{2} - 4 p - 45} - \frac{2}{p + 5}$
217664	Evaluate	9+(7*(15+3))÷(3^2)	$9 + 7 \times (15 + 3) \div 3^{2}$
217665	Graph	y<=-3/5x y>-x-4	$y \leq - \frac{3}{5} x$ $y > - x - 4$
217666	Solve the Inequality for q	-q/7>=-1	$- \frac{q}{7} \geq - 1$
217667	Solve for d	q=(c+2d)/p	$q = \frac{c + 2 d}{p}$
217668	Find All Complex Solutions	n^2+5n+1=3n	$n^{2} + 5 n + 1 = 3 n$
217669	Find the x and y Intercepts	5xy+9=44	$5 x y + 9 = 44$
217670	Multiply	7(-6 1/8)	$7 (- 6 \frac{1}{8})$
217671	Solve for x	2xy=2	$2 x y = 2$
217672	Simplify	(3^(2/3))^(5/2)	${(3^{\frac{2}{3}})}^{\frac{5}{2}}$
217673	Multiply	10a(a-10b)	$10 a (a - 10 b)$
217674	Find All Complex Solutions	log base 3 of x-2 log base x of 3=1	$\log_{3} (x) - 2 \log_{x} (3) = 1$
217675	Solve for b	2b+5b=28	$2 b + 5 b = 28$
217676	Subtract	(y^3+6x^2y^2-4xy-8)-(2y^3-7x^2y^2-2xy-y+8)	$(y^{3} + 6 x^{2} y^{2} - 4 x y - 8) - (2 y^{3} - 7 x^{2} y^{2} - 2 x y - y + 8)$
217677	Graph Using a Table of Values	y=1/(2x)	$y = \frac{1}{2 x}$
217678	Identify the Zeros and Their Multiplicities	k(x)=2(x-3)^2(x+1)^3(x+2)	$k (x) = 2 {(x - 3)}^{2} {(x + 1)}^{3} (x + 2)$
217679	Simplify	( square root of 4)( square root of 20)	$(\sqrt{4}) (\sqrt{20})$
217680	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,7) and has a slope of -2/5 ?	What is the equation of the line that passes through the point $(- 5, 7)$ and has a slope of $- \frac{2}{5}$ ?
217681	Evaluate	(x^2y^-5)/(x^-8y^-8)	$\frac{x^{2} y^{- 5}}{x^{- 8} y^{- 8}}$
217682	Simplify	x^4y^3*4x^4	$x^{4} y^{3} \cdot 4 x^{4}$
217683	Solve for x	Solve 64^x=16^(x-1)	Solve $64^{x} = 16^{x - 1}$
217684	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-x^2-4x+20 is divided by x+2	Use synthetic division to find the result when $3 x^{3} - x^{2} - 4 x + 20$ is divided by $x + 2$
217685	Graph	x^2+4x-15<x+3	$x^{2} + 4 x - 15 < x + 3$
217686	Simplify	(x-y-5)(x-2)	$(x - y - 5) (x - 2)$
217687	Solve for x	-9(x-5)=x+22 1/2	$- 9 (x - 5) = x + 22 \frac{1}{2}$
217688	Solve for x	\|x-3\|=\|9-2x\|	$\| x - 3 \| = \| 9 - 2 x \|$
217689	Find the Roots (Zeros)	f(x)=2-4cos(x)	$f (x) = 2 - 4 \cos (x)$
217690	Evaluate	square root of -9+-16	$\sqrt{- 9 + - 16}$
217691	Simplify the Radical Expression	5 fourth root of 32	$5 \sqrt[4]{32}$
217692	Convert to a Simplified Fraction	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
217693	Factor	2x^2+x=0	$2 x^{2} + x = 0$
217694	Solve for x	2-3/8=(2x+5)/24	$2 - \frac{3}{8} = \frac{2 x + 5}{24}$
217695	Simplify the Radical Expression	square root of 4x^2-12x+9	$\sqrt{4 x^{2} - 12 x + 9}$
217696	Simplify	2/(5+2 square root of 6)	$\frac{2}{5 + 2 \sqrt{6}}$
217697	Divide Using Long Polynomial Division	(2x^3+8x^2+3)÷(x^2+2x-1)	$(2 x^{3} + 8 x^{2} + 3) \div (x^{2} + 2 x - 1)$
217698	Solve for x	1/6-5/(6x)=-1/(4x)	$\frac{1}{6} - \frac{5}{6 x} = - \frac{1}{4 x}$
217699	Simplify	(72x^2)/(25y^5)*(-(2.5y^4)/(27x^5))	$\frac{72 x^{2}}{25 y^{5}} \times (- \frac{2.5 y^{4}}{27 x^{5}})$
217700	Evaluate	(e^x-e^(-x))^2	${(e^{x} - e^{- x})}^{2}$