Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25701	Simplify the Radical Expression	square root of 2a* square root of 14a^3* square root of 5a	$\sqrt{2 a} \cdot \sqrt{14 a^{3}} \cdot \sqrt{5 a}$
25702	Simplify	(-5x)/(3- square root of x)	$\frac{- 5 x}{3 - \sqrt{x}}$
25703	Simplify	((18x^2)/(x-1))/(x/(2x-2))	$\frac{\frac{18 x^{2}}{x - 1}}{\frac{x}{2 x - 2}}$
25704	Find the Exact Value	1^-1	$1^{- 1}$
25705	Simplify	( cube root of 6* cube root of 36)/( cube root of 8)	$\frac{\sqrt[3]{6} \cdot \sqrt[3]{36}}{\sqrt[3]{8}}$
25706	Solve the Function Operation	Add 5/(2x+1)+8/(4x+2) ; with x!=-1/2	Add $\frac{5}{2 x + 1} + \frac{8}{4 x + 2}$ ; with $x \neq - \frac{1}{2}$
25707	Solve the Inequality for x	-x+6>3(6+x)	$- x + 6 > 3 (6 + x)$
25708	Find the Antiderivative	f(x)=x/(1+x)	$f (x) = \frac{x}{1 + x}$
25709	Evaluate the Integral	integral of 5(5^(5x)) with respect to x	$\int 5 (5^{5 x}) d x$
25710	Solve for p	3p^3=21p	$3 p^{3} = 21 p$
25711	Simplify	fourth root of 5 fourth root of 6	$\sqrt[4]{5} \sqrt[4]{6}$
25712	Simplify	(5ab^3)(3b+11a^3-2ab)	$(5 a b^{3}) (3 b + 11 a^{3} - 2 a b)$
25713	Factor	56ab-112a-7b^2+14b	$56 a b - 112 a - 7 b^{2} + 14 b$
25714	Simplify	((2x^-1y)/(x^-3y^-2))^-3	${(\frac{2 x^{- 1} y}{x^{- 3} y^{- 2}})}^{- 3}$
25715	Determine if Linear	4x(x-3)=y	$4 x (x - 3) = y$
25716	Evaluate	15% of 25	$15 %$ of $25$
25717	Solve for x	y=(x-5)^3-1	$y = {(x - 5)}^{3} - 1$
25718	Simplify	( cube root of x^10)/( cube root of x^7)	$\frac{\sqrt[3]{x^{10}}}{\sqrt[3]{x^{7}}}$
25719	Solve for x	4x+21=-(1/3)^(x+4)+6	$4 x + 21 = - {(\frac{1}{3})}^{x + 4} + 6$
25720	Solve the Inequality for c	-5c>2	$- 5 c > 2$
25721	Factor	f(x)=5x^4+14x^2-3	$f (x) = 5 x^{4} + 14 x^{2} - 3$
25722	Solve for n	-9n^2+6=-30	$- 9 n^{2} + 6 = - 30$
25723	Solve the System of Equations	y=x^2-5 y-x=1	$y = x^{2} - 5$ $y - x = 1$
25724	Multiply	(5ab^3)(3b+11a^3-2ab)	$(5 a b^{3}) (3 b + 11 a^{3} - 2 a b)$
25725	Graph	f(x)=2- square root of x+1	$f (x) = 2 - \sqrt{x + 1}$
25726	Find the Antiderivative	x/2dx	$\frac{x}{2} d x$
25727	Find the Asymptotes	(x^2-3x-4)/(1-3x-4x^2)	$\frac{x^{2} - 3 x - 4}{1 - 3 x - 4 x^{2}}$
25728	Solve for a	4+7a+6-2a=45	$4 + 7 a + 6 - 2 a = 45$
25729	Write the Fraction in Simplest Form	(3y^7)/((2y^-2)^-5)	$\frac{3 y^{7}}{{(2 y^{- 2})}^{- 5}}$
25730	Find the Midpoint	(0,0) , (x,y)	$(0, 0)$ , $(x, y)$
25731	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3-x^2+2x+7 is divided by x+1	Use synthetic division to find the result when $4 x^{3} - x^{2} + 2 x + 7$ is divided by $x + 1$
25732	Find the Domain and Range	f(x)=2- square root of x+1	$f (x) = 2 - \sqrt{x + 1}$
25733	Simplify the Matrix	p(x):3x/2+3\|x-2\|<=3	$p (x) : 3 \frac{x}{2} + 3 \| x - 2 \| \leq 3$
25734	Find the Antiderivative	f(x)=sin(x)+2x	$f (x) = \sin (x) + 2 x$
25735	Find the x and y Intercepts	f(x)=3(1/2)^(x-1)+2	$f (x) = 3 {(\frac{1}{2})}^{x - 1} + 2$
25736	Simplify the Radical Expression	( square root of 48x^3)/( square root of 3xy^2)	$\frac{\sqrt{48 x^{3}}}{\sqrt{3 x y^{2}}}$
25737	Evaluate the Integral	integral of (1/(x^2)-sin(x)) with respect to x	$\int (\frac{1}{x^{2}} - \sin (x)) d x$
25738	Combine Like Terms	(3-2x+2x^2)-(4x-5+3x^2)	$(3 - 2 x + 2 x^{2}) - (4 x - 5 + 3 x^{2})$
25739	Find the Derivative - d/dy	y/(y^2+x^2)	$\frac{y}{y^{2} + x^{2}}$
25740	Find the Derivative - d/dx	y=(e^x)/(x+1)	$y = \frac{e^{x}}{x + 1}$
25741	Simplify	(4w^2v^3*10w^7v^2)/(-5wv^4)+14w^8v	$\frac{4 w^{2} v^{3} \cdot 10 w^{7} v^{2}}{- 5 w v^{4}} + 14 w^{8} v$
25742	Solve by Factoring	x^2+13/4x-3=0	$x^{2} + \frac{13}{4} x - 3 = 0$
25743	Graph	2x+y=0 , x>=0	$2 x + y = 0$ , $x \geq 0$
25744	Subtract	(11x)/(2x-3)-(x-18)/(3-2x)	$\frac{11 x}{2 x - 3} - \frac{x - 18}{3 - 2 x}$
25745	Simplify the Radical Expression	(3+ square root of 6)^2	${(3 + \sqrt{6})}^{2}$
25746	Evaluate	400000/((1-(1+0.0075)^-36)/0.0075)	$\frac{400000}{\frac{1 - {(1 + 0.0075)}^{- 36}}{0.0075}}$
25747	Solve by Completing the Square	9x(x-6)=81	$9 x (x - 6) = 81$
25748	Simplify	square root of 250/48	$\sqrt{\frac{250}{48}}$
25749	Solve for x	1/4(10^(-2x))-25*10^x=0	$\frac{1}{4} (10^{- 2 x}) - 25 \cdot 10^{x} = 0$
25750	Simplify	5/(2b)-(b+4)/(2b^2-2b)	$\frac{5}{2 b} - \frac{b + 4}{2 b^{2} - 2 b}$
25751	Solve for x	4 square root of x-2 = square root of x+13	$4 \sqrt{x - 2} = \sqrt{x + 13}$
25752	Determine if a Polynomial	-(q^4)/6-6p^3 square root of 5+7q^3 square root of p	$- \frac{q^{4}}{6} - 6 p^{3} \sqrt{5} + 7 q^{3} \sqrt{p}$
25753	Solve the Inequality for x	-9>-4+5x	$- 9 > - 4 + 5 x$
25754	Solve the Function Operation	f(x)=( cube root of x+4)/7 ; find f^-1(x)	$f (x) = \frac{\sqrt[3]{x + 4}}{7}$ ; find $f^{- 1} (x)$
25755	Simplify	(4x-1)/(5x)-(2x+2)/(15x)	$\frac{4 x - 1}{5 x} - \frac{2 x + 2}{15 x}$
25756	Find dy/dx	x^2=e^(x-y)	$x^{2} = e^{x - y}$
25757	Simplify	((8x+32)/(x^2+8x+16))÷((x^2-6x)/(x^2-2x-24))	$\frac{8 x + 32}{x^{2} + 8 x + 16} \div \frac{x^{2} - 6 x}{x^{2} - 2 x - 24}$
25758	Solve for c	4(3c-2)=12(c+2)	$4 (3 c - 2) = 12 (c + 2)$
25759	Solve for z	-10 = cube root of 2(1.25)+z-12	$- 10 = \sqrt[3]{2 (1.25) + z} - 12$
25760	Subtract	1/6-7/10	$\frac{1}{6} - \frac{7}{10}$
25761	Combine Like Terms	-9*(5j+k)	$- 9 \cdot (5 j + k)$
25762	Write in Exponential Form	1/(( square root of x)^5)	$\frac{1}{{(\sqrt{x})}^{5}}$
25763	Simplify	(p3/2)^-2	${(p \frac{3}{2})}^{- 2}$
25764	Find the Roots (Zeros)	square root of 5x+6=x-6	$\sqrt{5 x + 6} = x - 6$
25765	Simplify	5i^4+3i^3-4i^2+5i-3	$5 i^{4} + 3 i^{3} - 4 i^{2} + 5 i - 3$
25766	Find the Derivative - d/dx	natural log of x^2(x+1)	$\ln (x^{2} (x + 1))$
25767	Divide Using Long Polynomial Division	(2x^4+3x^3+7x^2+7x+6) by (2x+1)	$(2 x^{4} + 3 x^{3} + 7 x^{2} + 7 x + 6)$ by $(2 x + 1)$
25768	Simplify	(-2x^3+x^2+x-3)+(5x^3+x^2-x)	$(- 2 x^{3} + x^{2} + x - 3) + (5 x^{3} + x^{2} - x)$
25769	Convert to a Decimal	tan(45)deg	$\tan (45)$ degrees
25770	Simplify	(3/(x^2-x-6)*(x^2-12x+27)/(x^2+x))÷((x-9)/(x+2))	$\frac{3}{x^{2} - x - 6} \cdot \frac{x^{2} - 12 x + 27}{x^{2} + x} \div \frac{x - 9}{x + 2}$
25771	Describe the Transformation	y=2 cube root of x+6+1	$y = 2 \sqrt[3]{x + 6} + 1$
25772	Write in Standard Form	5x=-6y	$5 x = - 6 y$
25773	Find the Inflection Points	1/6x^6+x^5+5/3x^4	$\frac{1}{6} x^{6} + x^{5} + \frac{5}{3} x^{4}$
25774	Simplify the Radical Expression	(-4x)^-3	${(- 4 x)}^{- 3}$
25775	Write in Slope-Intercept Form	x-y=1/4	$x - y = \frac{1}{4}$
25776	Simplify	(8 cube root of 3- cube root of 24- cube root of 81)	$(8 \sqrt[3]{3} - \sqrt[3]{24} - \sqrt[3]{81})$
25777	Evaluate	(4x/2)(4x/5)=4^14	$(4 \frac{x}{2}) (4 \frac{x}{5}) = 4^{14}$
25778	Solve for x	x^7=128	$x^{7} = 128$
25779	Solve for y	5+ay=17	$5 + a y = 17$
25780	Find the GCF	35 and 50	$35$ and $50$
25781	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,5) and has a slope of -4 ?	What is the equation of the line that passes through the point $(- 2, 5)$ and has a slope of $- 4$ ?
25782	Simplify	(2ab+4ac-5c)+(-6c+7ab)	$(2 a b + 4 a c - 5 c) + (- 6 c + 7 a b)$
25783	Find the Exact Value	cot(arctan(-3/5))	$\cot (\arctan (- \frac{3}{5}))$
25784	Write with Rational (Fractional) Exponents	cube root of 5^2* square root of 5	$\sqrt[3]{5^{2}} \cdot \sqrt{5}$
25785	Solve the Inequality for x	-x^2-2x<5x-8	$- x^{2} - 2 x < 5 x - 8$
25786	Find the Derivative - d/dx	square root of 9xsin(x)	$\sqrt{9 x} \sin (x)$
25787	Evaluate	5/3*(7/15-2/10)	$\frac{5}{3} \cdot (\frac{7}{15} - \frac{2}{10})$
25788	Simplify	(-2xy)(xy)(3x^2y^3)	$(- 2 x y) (x y) (3 x^{2} y^{3})$
25789	Find the Roots (Zeros)	f(x)=2(x+3)^2	$f (x) = 2 {(x + 3)}^{2}$
25790	Solve the System of Equations	4x-4z=12 -6x+4y=-28 -2y+3z=5	$4 x - 4 z = 12$ $- 6 x + 4 y = - 28$ $- 2 y + 3 z = 5$
25791	Simplify	a(b-x)+x(a+b)	$a (b - x) + x (a + b)$
25792	Find g(f(x))	f(x)=2x-5 g(x)=x^2-4	$f (x) = 2 x - 5$ $g (x) = x^{2} - 4$
25793	Divide	3/( square root of 3-1)	$\frac{3}{\sqrt{3} - 1}$
25794	Solve for x	2(3x+7)=x+10+5x+4	$2 (3 x + 7) = x + 10 + 5 x + 4$
25795	Simplify	1/(3x^3)-4/5	$\frac{1}{3 x^{3}} - \frac{4}{5}$
25796	Combine Like Terms	(3a^2+1)-(4+2a^2)	$(3 a^{2} + 1) - (4 + 2 a^{2})$
25797	Solve for m	cube root of 2m+1 = cube root of m+8	$\sqrt[3]{2 m + 1} = \sqrt[3]{m + 8}$
25798	Multiply	2 square root of 7x*3 square root of 14x^2	$2 \sqrt{7 x} \cdot 3 \sqrt{14 x^{2}}$
25799	Find the Derivative - d/dy	tan(y)^2	$\tan^{2} (y)$
25800	Solve by Factoring	square root of 9=9^(1/2)	$\sqrt{9} = 9^{\frac{1}{2}}$