Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
27801	Graph	What is the y-coordinate of the point on the line x=2y+1 with an x-coordinate of -1 ?	What is the $y - c o \cdot o r d i n a t e$ of the point on the line $x = 2 y + 1$ with an $x - c o \cdot o r d i n a t e$ of $- 1$ ?
27802	Determine if a Polynomial	9x^4+8x^3-6x^-2+2x	$9 x^{4} + 8 x^{3} - 6 x^{- 2} + 2 x$
27803	Evaluate the Integral	integral of (1/( fifth root of x^3)) with respect to x	$\int (\frac{1}{\sqrt[5]{x^{3}}}) d x$
27804	Solve for x	3/(x-1)=1/(x-1)+1/(x-5)	$\frac{3}{x - 1} = \frac{1}{x - 1} + \frac{1}{x - 5}$
27805	Divide	( cube root of 625x^6y^4)/( cube root of 5xy)	$\frac{\sqrt[3]{625 x^{6} y^{4}}}{\sqrt[3]{5 x y}}$
27806	Find the GCF	15xy+30x^2y^2	$15 x y + 30 x^{2} y^{2}$
27807	Convert to a Decimal	-495deg	$- 495$ degrees
27808	Find the Antiderivative	y=1/(x^2)	$y = \frac{1}{x^{2}}$
27809	Find the Distance Between Two Points	(2,7) and (8,9)	$(2, 7)$ and $(8, 9)$
27810	Solve for d	d^2-4d+5=d	$d^{2} - 4 d + 5 = d$
27811	Find the LCM	7 and 2	$7$ and $2$
27812	Evaluate	cube root of 8^5+( square root of 16)^4	$\sqrt[3]{8^{5}} + {(\sqrt{16})}^{4}$
27813	Evaluate	square root of 3^3*6^3	$\sqrt{3^{3}} \cdot 6^{3}$
27814	Simplify	(a^5)(a^x)(a^x)	$(a^{5}) (a^{x}) (a^{x})$
27815	Rationalize the Denominator	(2 square root of 7)/( square root of 3- square root of 5)	$\frac{2 \sqrt{7}}{\sqrt{3} - \sqrt{5}}$
27816	Solve for x	10/15=x/(13-x)	$\frac{10}{15} = \frac{x}{13 - x}$
27817	Solve for x	2x+pi/2=0	$2 x + \frac{π}{2} = 0$
27818	Simplify the Matrix	square root of 27 , square root of 75	$\sqrt{27}$ , $\sqrt{75}$
27819	Evaluate	seventh root of (4.5*10^4)+235	$\sqrt[7]{(4.5 \cdot 10^{4}) + 235}$
27820	Solve for x	19500=18750(1+x(0.75))	$19500 = 18750 (1 + x (0.75))$
27821	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(3x)/(x^6)+x-7	$f (x) = \frac{3 x}{x^{6}} + x - 7$
27822	Find the Holes in the Graph	(x^2-6x+8)/(2x-4)	$\frac{x^{2} - 6 x + 8}{2 x - 4}$
27823	Simplify	(2 square root of a^2b)/(3 square root of b)	$\frac{2 \sqrt{a^{2} b}}{3 \sqrt{b}}$
27824	Solve for F	C=(5F)/9-160/9	$C = \frac{5 F}{9} - \frac{160}{9}$
27825	Find the Exact Value	cos(arcsin(( square root of 2)/3))	$\cos (\arcsin (\frac{\sqrt{2}}{3}))$
27826	Evaluate	cube root of (128a^9)/(2a^3)	$\sqrt[3]{\frac{128 a^{9}}{2 a^{3}}}$
27827	Solve the Rational Equation for x	9+x/(x+8)=-8/(x+8)	$9 + \frac{x}{x + 8} = - \frac{8}{x + 8}$
27828	Solve the Rational Equation for x	-5 square root of x-1=20	$- 5 \sqrt{x - 1} = 20$
27829	Solve the Function Operation	Given that f(x)=x^2+3x-70 and g(x)=x-7 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 70$ and $g (x) = x - 7$ ; find $(f - g) (x)$ and express the result in standard form.
27830	Solve for x	x/(x+8)+3/(8-x)=2/(x^2-64)	$\frac{x}{x + 8} + \frac{3}{8 - x} = \frac{2}{x^{2} - 64}$
27831	Simplify	(15y^2(y+3))/(20y^3(y+3))	$\frac{15 y^{2} (y + 3)}{20 y^{3} (y + 3)}$
27832	Simplify	6*4-4+8÷4	$6 \times 4 - 4 + 8 \div 4$
27833	Evaluate	-5 square root of x-1=20	$- 5 \sqrt{x - 1} = 20$
27834	Simplify	(x^2y)^3 square root of y^4	${(x^{2} y)}^{3} \sqrt[2]{y^{4}}$
27835	Simplify	8q+3q-6t+2q-4q	$8 q + 3 q - 6 t + 2 q - 4 q$
27836	Divide Using Long Polynomial Division	(x^3+x^2+5x)÷(x+1)	$(x^{3} + x^{2} + 5 x) \div (x + 1)$
27837	Solve the Inequality for x	6/(x-1)>=5	$\frac{6}{x - 1} \geq 5$
27838	Simplify	(6 cube root of xy^2z^0)( fourth root of 81x^3y)	$(6 \sqrt[3]{x y^{2} z^{0}}) (\sqrt[4]{81 x^{3} y})$
27839	Graph	y>=1-x^2	$y \geq 1 - x^{2}$
27840	Solve the Inequality for x	-2<=(6+x)/3	$- 2 \leq \frac{6 + x}{3}$
27841	Solve for x	2x^3+x-2=0	$2 x^{3} + x - 2 = 0$
27842	Graph	y>-2 x<1	$y > - 2$ $x < 1$
27843	Simplify	2a^0+(2a)^0+2^0a	$2 a^{0} + {(2 a)}^{0} + 2^{0} a$
27844	Convert to a Decimal	-20deg	$- 20$ degrees
27845	Solve for x	2(2x-5)=3x+x-2x	$2 (2 x - 5) = 3 x + x - 2 x$
27846	Evaluate Using L'Hospital's Rule	limit as x approaches -2 of ( natural log of 3x+7-2x^3)/(3tan(-4-2x)-3x^3)	$lim_{x \to - 2} \frac{\ln (3 x + 7) - 2 x^{3}}{3 \tan (- 4 - 2 x) - 3 x^{3}}$
27847	Find the Maximum/Minimum Value	f(x)=x^4-4x^3+2x^2+x+4	$f (x) = x^{4} - 4 x^{3} + 2 x^{2} + x + 4$
27848	Divide Using Long Polynomial Division	8x^3-6x^2-21x-15 divided by 4x-5	$8 x^{3} - 6 x^{2} - 21 x - 15$ divided by $4 x - 5$
27849	Simplify	(x^2-9)/(x^2-x-12)(x-4)/(x^2-9)(6x)/(3x)	$\frac{x^{2} - 9}{x^{2} - x - 12} \cdot \frac{x - 4}{x^{2} - 9} \cdot \frac{6 x}{3 x}$
27850	Solve for x	square root of (8x)/3-4=0	$\sqrt{\frac{8 x}{3}} - 4 = 0$
27851	Evaluate the Function	y=1/4(4)^x , x=3/2	$y = \frac{1}{4} {(4)}^{x}$ , $x = \frac{3}{2}$
27852	Graph	y=f'(x)	$y = f' (x)$
27853	Find the Domain	y=(9x^2)/(6x^2-23x+20)	$y = \frac{9 x^{2}}{6 x^{2} - 23 x + 20}$
27854	Evaluate	(-x^5)^2	${(- x^{5})}^{2}$
27855	Evaluate	square root of y+5=0	$\sqrt{y} + 5 = 0$
27856	Solve for z	log of z+ log of 2+3=1	$\log (z) + \log (2 + 3) = 1$
27857	Simplify the Radical Expression	(7^2)^(1/4)	${(7^{2})}^{\frac{1}{4}}$
27858	Solve for p	-9(2p+1)=-15p	$- 9 (2 p + 1) = - 15 p$
27859	Simplify	(3x^2y)^3(2xy^4)^2y^3	${(3 x^{2} y)}^{3} {(2 x y^{4})}^{2} y^{3}$
27860	Simplify	((-3x^2)/(y^3))^3	${(\frac{- 3 x^{2}}{y^{3}})}^{3}$
27861	Write the Fraction in Simplest Form	(4y^6c^10)/((2y^4c)^-1)	$\frac{4 y^{6} c^{10}}{{(2 y^{4} c)}^{- 1}}$
27862	Solve for x	(5/9)^(5x-9)=(9/5)^(9x-5)	${(\frac{5}{9})}^{5 x - 9} = {(\frac{9}{5})}^{9 x - 5}$
27863	Add	5 1/3+9 1/2+13 1/6	$5 \frac{1}{3} + 9 \frac{1}{2} + 13 \frac{1}{6}$
27864	Multiply	x3/4*x1/5	$x \frac{3}{4} \cdot x \frac{1}{5}$
27865	Find the LCD	1/(2x+9) and 6/(5x)	$\frac{1}{2 x + 9}$ and $\frac{6}{5 x}$
27866	Divide	(7n^2+3n^3+8)÷(n+2)	$(7 n^{2} + 3 n^{3} + 8) \div (n + 2)$
27867	Solve the Function Operation	f(x)=-(x-2)^2-3 if x<4; -5 if x=4; 1/2x-10 if x>4 Find f(1)	$f (x) = {\begin{cases} - {(x - 2)}^{2} - 3 & x < 4 \\ - 5 & x = 4 \\ \frac{1}{2} x - 10 & x > 4 \end{cases}$ Find $f (1)$
27868	Simplify	square root of 1-1/4	$\sqrt{1 - \frac{1}{4}}$
27869	Solve the Inequality for x	2x<=(4x+1)/2	$2 x \leq \frac{4 x + 1}{2}$
27870	Find the Antiderivative	5x( square root of x-x^2)	$5 x (\sqrt{x} - x^{2})$
27871	Simplify	(2(x-1))/(4x^2-3x-1)+(x+2)/(4x^2+7x-2)	$\frac{2 (x - 1)}{4 x^{2} - 3 x - 1} + \frac{x + 2}{4 x^{2} + 7 x - 2}$
27872	Find dy/dx	-5y^3=-2x-xy	$- 5 y^{3} = - 2 x - x y$
27873	Evaluate the Integral	limit as x approaches infinity of 1/( square root of x) integral from 1 to x of 1/( square root of t) with respect to t	$lim_{x \to \infty} \frac{1}{\sqrt{x}} \int_{1}^{x} \frac{1}{\sqrt{t}} d t$
27874	Evaluate	4-1-1^2	$4 - 1 - 1^{2}$
27875	Simplify the Radical Expression	(64x^18y^-21)^(-4/3)	${(64 x^{18} y^{- 21})}^{- \frac{4}{3}}$
27876	Simplify	(5w+20)/(3w+15)*(7w+35)/(10w+40)	$\frac{5 w + 20}{3 w + 15} \cdot \frac{7 w + 35}{10 w + 40}$
27877	Simplify	1/(y^2)-1/x	$\frac{1}{y^{2}} - \frac{1}{x}$
27878	Solve for m	3/4-5/4m=113/24	$\frac{3}{4} - \frac{5}{4} m = \frac{113}{24}$
27879	Simplify the Radical Expression	4 square root of 2*3 square root of 3	$4 \sqrt{2} \cdot 3 \sqrt{3}$
27880	Find the Product	x/(x+3)*x/(x+2)	$\frac{x}{x + 3} \cdot \frac{x}{x + 2}$
27881	Factor	h=-10t^2+15t	$h = - 10 t^{2} + 15 t$
27882	Find the x and y Intercepts	f(x)=5* log of -x	$f (x) = 5 \cdot \log (- x)$
27883	Evaluate	1/2*(4^2-(2+3))	$\frac{1}{2} \cdot (4^{2} - (2 + 3))$
27884	Solve by Substitution	y=x^2-2x+4 y=3x	$y = x^{2} - 2 x + 4$ $y = 3 x$
27885	Expand Using Sum/Difference Formulas	csc(90-theta)	$\csc (90 - θ)$
27886	Simplify	square root of 25xy+ square root of 49xy	$\sqrt{25 x y} + \sqrt{49 x y}$
27887	Solve the Inequality for x	-3(9+x)>=-21	$- 3 (9 + x) \geq - 21$
27888	Write in Slope-Intercept Form	y+2=3x	$y + 2 = 3 x$
27889	Evaluate the Integral	integral from 0 to infinity of 1/(4x^2+9) with respect to x	$\int_{0}^{\infty} \frac{1}{4 x^{2} + 9} d x$
27890	Evaluate the Integral	2 integral from 1 to 2 of (x^2+1) with respect to x	$2 \int_{1}^{2} (x^{2} + 1) d x$
27891	Simplify	(4y-3)/(y+2)+(5-3y)/(y+2)	$\frac{4 y - 3}{y + 2} + \frac{5 - 3 y}{y + 2}$
27892	Simplify	3x^2+8x from -9x^2+3x-8	$3 x^{2} + 8 x$ from $- 9 x^{2} + 3 x - 8$
27893	Solve the Rational Equation for x	1+8/(x-1)=(8x)/(x-1)	$1 + \frac{8}{x - 1} = \frac{8 x}{x - 1}$
27894	Evaluate Using the Given Value	1/2b if b=12	$\frac{1}{2} b$ if $b = 12$
27895	Simplify	64^(-2/3)*64^(1/3)	$64^{- \frac{2}{3}} \cdot 64^{\frac{1}{3}}$
27896	Convert from Radians to Degrees	13rad	$13$ radians
27897	Evaluate	log base 1/4 of 1/32	$\log_{\frac{1}{4}} (\frac{1}{32})$
27898	Find the Product	-4c^2d^3(5cd^2+3c^2d)	$- 4 c^{2} d^{3} (5 c d^{2} + 3 c^{2} d)$
27899	Solve the System of Inequalities	-7x+3y>-1 5x-9y>-6	$- 7 x + 3 y > - 1$ $5 x - 9 y > - 6$
27900	Simplify	3/10(4m-8)+9m	$\frac{3}{10} (4 m - 8) + 9 m$