Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
34001	Simplify	((64a^3b^4c^-5)(32a^4b^3c^5))/(256a^9b^6c^-5)	$\frac{(64 a^{3} b^{4} c^{- 5}) (32 a^{4} b^{3} c^{5})}{(256 a^{9} b^{6} c^{- 5})}$
34002	Evaluate the Limit	limit as x approaches infinity of ( square root of 5x^2+2x)/x	$lim_{x \to \infty} \frac{\sqrt{5 x^{2} + 2 x}}{x}$
34003	Simplify	(5x^2+7x)-1/2(10x^2-4)	$(5 x^{2} + 7 x) - \frac{1}{2} (10 x^{2} - 4)$
34004	Solve for x	(3x-1)^2-5(x-2)-(2x+3)^2-(5x+2)(x-1)=0	${(3 x - 1)}^{2} - 5 (x - 2) - {(2 x + 3)}^{2} - (5 x + 2) (x - 1) = 0$
34005	Solve the Function Operation	f(x)=-4x+1 g(x)=4x+3 Find (fog)(9)	$f (x) = - 4 x + 1$ $g (x) = 4 x + 3$ Find $((f \circ g)) (9)$
34006	Simplify	(10x^3)/(7y^3)(14x)/(15y^2)(15y^4)/(x^3)	$\frac{10 x^{3}}{7 y^{3}} \cdot \frac{14 x}{15 y^{2}} \cdot \frac{15 y^{4}}{x^{3}}$
34007	Solve for s	-4(3s-2)=-6(2s-1)-2	$- 4 (3 s - 2) = - 6 (2 s - 1) - 2$
34008	Evaluate	9+83-(52)	$9 + 8 \times 3 - (5 \times 2)$
34009	Simplify/Condense	1/3( natural log of 27+2* natural log of 8)	$\frac{1}{3} (\ln (27) + 2 \cdot \ln (8))$
34010	Find the Slope	f(x)=4(x+3)	$f (x) = 4 (x + 3)$
34011	Calculate the Square Root	64/100	$\frac{64}{100}$
34012	Solve for x	log base 7 of 2(x+7)- log base 7 of x+1=0	$\log_{7} (2) (x + 7) - \log_{7} (x + 1) = 0$
34013	Evaluate	34x+95=3(14x+9)	$34 x + 95 = 3 (14 x + 9)$
34014	Solve for x	(2x-3)/x=3/(x+4)	$\frac{2 x - 3}{x} = \frac{3}{x + 4}$
34015	Simplify	(2)^3(2)^-5	${(2)}^{3} {(2)}^{- 5}$
34016	Simplify	5^25^-15^0	$5^{2} \cdot 5^{- 1} \cdot 5^{0}$
34017	Evaluate	6+4*(3+7)	$6 + 4 \times (3 + 7)$
34018	Evaluate Using the Given Value	z=(x-mu)/sigma , mu	$z = \frac{x - μ}{σ}$ , $μ$
34019	Simplify	3 1/9p+5-1/3p	$3 \frac{1}{9} p + 5 - \frac{1}{3} p$
34020	Add	Add: x/(x^2+7x+12)+4/(x^2-16)	Add: $\frac{x}{x^{2} + 7 x + 12} + \frac{4}{x^{2} - 16}$
34021	Simplify	(2/3)^-1((3a)/(2b))^-2	${(\frac{2}{3})}^{- 1} {(\frac{3 a}{2 b})}^{- 2}$
34022	Find the Holes in the Graph	f(x)=(x^2+6x+9)/(x^2-9)	$f (x) = \frac{x^{2} + 6 x + 9}{x^{2} - 9}$
34023	Find All Complex Solutions	sin(x)^3=sin(x)	$\sin^{3} (x) = \sin (x)$
34024	Solve the Inequality for x	(x-2)/7-(x+3)/3<=(5x)/21	$\frac{x - 2}{7} - \frac{x + 3}{3} \leq \frac{5 x}{21}$
34025	Solve the Inequality for w	37<7-10w	$37 < 7 - 10 w$
34026	Simplify	square root of 6a^2b^4c* square root of 3a^6b^2c	$\sqrt{6 a^{2} b^{4} c} \cdot \sqrt{3 a^{6} b^{2} c}$
34027	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( square root of x)/( natural log of natural log of x)	$lim_{x \to \infty} \frac{\sqrt{x}}{\ln (\ln (x))}$
34028	Write in Standard Form	x^2-x^3+x^4-5	$x^{2} - x^{3} + x^{4} - 5$
34029	Find the Derivative - d/dx	cube root of sin(x)	$\sqrt[3]{\sin (x)}$
34030	Write the Fraction in Simplest Form	(2h^7v^-3)/((5h^-4v^5)^-5)	$\frac{2 h^{7} v^{- 3}}{{(5 h^{- 4} v^{5})}^{- 5}}$
34031	Solve for θ in Degrees	sec(theta)^2-6sec(theta)+8=0	$\sec^{2} (θ) - 6 \sec (θ) + 8 = 0$
34032	Evaluate	1/2(8)^-2	$\frac{1}{2} {(8)}^{- 2}$
34033	Solve for y₂	13^2=144+y_2^2-12y_2+36	$13^{2} = 144 + {y_{2}}^{2} - 12 y_{2} + 36$
34034	Solve for m	square root of (9m)/2-6=0	$\sqrt{\frac{9 m}{2}} - 6 = 0$
34035	Find the Roots (Zeros)	x^3+x^2-6x=0	$x^{3} + x^{2} - 6 x = 0$
34036	Simplify	((15x-10)/(x-8))/((3x-2)/(x^2-12x+32))	$\frac{\frac{15 x - 10}{x - 8}}{\frac{3 x - 2}{x^{2} - 12 x + 32}}$
34037	Simplify	((k^-2y^3)/(y^-1))^0	${(\frac{k^{- 2} y^{3}}{y^{- 1}})}^{0}$
34038	Solve the Function Operation	Given that f(x)=x^2-16x+60 and g(x)=x-10 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 16 x + 60$ and $g (x) = x - 10$ ; find $f (x) - g (x)$ and express the result in standard form.
34039	Write the Fraction in Simplest Form	(4^(2x+1)*2^(1-x))/(8^(x+2))	$\frac{4^{2 x + 1} \cdot 2^{1 - x}}{8^{x + 2}}$
34040	Solve for a	4^(a^2)=16^(2a)*64^(2-a)	$4^{a^{2}} = 16^{2 a} \cdot 64^{2 - a}$
34041	Solve the Inequality for x	x^3+2x^2-4x-8<=0	$x^{3} + 2 x^{2} - 4 x - 8 \leq 0$
34042	Solve for z	4a=4b-9z	$4 a = 4 b - 9 z$
34043	Graph	f(x)=\|\|x\|\|	$f (x) = \| \| x \| \|$
34044	Find the Exact Value	(tan(pi/4))/2+1/(sec(pi/3))	$\frac{\tan (\frac{π}{4})}{2} + \frac{1}{\sec (\frac{π}{3})}$
34045	Describe the Transformation	g(x)=-3/4f(x)	$g (x) = - \frac{3}{4} f (x)$
34046	Simplify	(7^(1/5))/(7^(3/5))	$\frac{7^{\frac{1}{5}}}{7^{\frac{3}{5}}}$
34047	Write in Standard Form	-23x^7+x^9-6x^3+10+2x^2	$- 23 x^{7} + x^{9} - 6 x^{3} + 10 + 2 x^{2}$
34048	Evaluate the Limit	limit as x approaches -1/8 of (x+8x^2)/(x^2-1/64)	$lim_{x \to - \frac{1}{8}} \frac{x + 8 x^{2}}{x^{2} - \frac{1}{64}}$
34049	Simplify	((1/64)^(1/3))^-4	${({(\frac{1}{64})}^{\frac{1}{3}})}^{- 4}$
34050	Solve for r	(2/3)^(r-8)=7/4	${(\frac{2}{3})}^{r - 8} = \frac{7}{4}$
34051	Evaluate	fourth root of (k^16)/(16z^4)	$\sqrt[4]{\frac{k^{16}}{16 z^{4}}}$
34052	Simplify	(7z-28)/(8-2z)	$\frac{7 z - 28}{8 - 2 z}$
34053	Find the Inverse	f(x)=(6 cube root of x+1)/5	$f (x) = \frac{6 \sqrt[3]{x} + 1}{5}$
34054	Simplify	y^(-3/2)*y^-1	$y^{- \frac{3}{2}} \cdot y^{- 1}$
34055	Factor by Grouping	x^6y^3+y^9	$x^{6} y^{3} + y^{9}$
34056	Simplify	x^-2y^-1 cube root of 125x^4y^5	$x^{- 2} y^{- 1} \sqrt[3]{125 x^{4} y^{5}}$
34057	Simplify	(5s^3+7s^2+3)+(7s^3-5s^2)	$(5 s^{3} + 7 s^{2} + 3) + (7 s^{3} - 5 s^{2})$
34058	Subtract	(-10x^2-1)+(-8x^2+8x-8)	$(- 10 x^{2} - 1) + (- 8 x^{2} + 8 x - 8)$
34059	Simplify	(8x^2)/(1/(x^2))	$\frac{8 x^{2}}{\frac{1}{x^{2}}}$
34060	Simplify	square root of 8y+5 square root of 50y-2 square root of 18y	$\sqrt{8 y + 5 \sqrt{50 y - 2 \sqrt{18 y}}}$
34061	Simplify	(c^3)/( square root of 18c^4)	$\frac{c^{3}}{\sqrt{18 c^{4}}}$
34062	Find the Derivative - d/dx	1/( fifth root of 8x^2-2)	$\frac{1}{\sqrt[5]{8 x^{2} - 2}}$
34063	Find the x and y Intercepts	(x^2+y^2-7x)^2=49x^2+49y^2	${(x^{2} + y^{2} - 7 x)}^{2} = 49 x^{2} + 49 y^{2}$
34064	Simplify	(x^4)/(3x^(1/2))	$\frac{x^{4}}{3 x^{\frac{1}{2}}}$
34065	Solve for x	3+\|x+4\|=0	$3 + \| x + 4 \| = 0$
34066	Find Amplitude, Period, and Phase Shift	f(x)=sin(pi/3x+pi)	$f (x) = \sin (\frac{π}{3} x + π)$
34067	Evaluate	(((3)(4)^3+3)-((3)(2)^3+3))/(4-2)	$\frac{((3) {(4)}^{3} + 3) - ((3) {(2)}^{3} + 3)}{4 - 2}$
34068	Solve the System of Equations	4x+8y=4 and -2x-7y=-11	$4 x + 8 y = 4$ and $- 2 x - 7 y = - 11$
34069	Integrate By Parts	integral from 0 to 1 of (x^2-1)e^x with respect to x	$\int_{0}^{1} (x^{2} - 1) e^{x} d x$
34070	Evaluate	10% of 200	$10 %$ of $200$
34071	Simplify	(1/3x-5/6y)(-1/2x+3/5y)	$(\frac{1}{3} x - \frac{5}{6} y) (- \frac{1}{2} x + \frac{3}{5} y)$
34072	Solve the Inequality for x	\|x+14\|+3>17	$\| x + 14 \| + 3 > 17$
34073	Divide Using Long Polynomial Division	(10x^3+5x^2-1)÷(2x^3-4x^2-x+2)	$(10 x^{3} + 5 x^{2} - 1) \div (2 x^{3} - 4 x^{2} - x + 2)$
34074	Evaluate	(f(4+2)-f(4))/2	$\frac{f (4 + 2) - f (4)}{2}$
34075	Simplify	(6m)/( square root of 6m^5)	$\frac{6 m}{\sqrt{6 m^{5}}}$
34076	Solve the Rational Equation for x	x^3=125	$x^{3} = 125$
34077	Factor by Grouping	-x^3+y^3	$- x^{3} + y^{3}$
34078	Simplify	sin(120 degrees )	$\sin (120 °)$
34079	Factor	xy(x-y)+x^3-y^3	$x y (x - y) + x^{3} - y^{3}$
34080	Simplify	sin(2x)*sin(2x)	$\sin (2 x) \cdot \sin (2 x)$
34081	Simplify the Radical Expression	11/( fourth root of 11)	$\frac{11}{\sqrt[4]{11}}$
34082	Evaluate	cot(-x)cos(-x)+sin(-x)	$\cot (- x) \cos (- x) + \sin (- x)$
34083	Simplify	(ab+c)(b^2)(a)	$(a b + c) (b^{2}) (a)$
34084	Simplify the Radical Expression	-3 cube root of 162k^4+7k cube root of 48k	$- 3 \sqrt[3]{162 k^{4}} + 7 k \sqrt[3]{48 k}$
34085	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3-5x^2+22x-7 is divided by 3x-1	Use the long division method to find the result when $6 x^{3} - 5 x^{2} + 22 x - 7$ is divided by $3 x - 1$
34086	Simplify	square root of (48m^2)/(3m^3)	$\sqrt{\frac{48 m^{2}}{3 m^{3}}}$
34087	Solve for x	5+4x>=2x+3	$5 + 4 x \geq 2 x + 3$
34088	Solve for m	(8m-1)(m-4)=0	$(8 m - 1) (m - 4) = 0$
34089	Simplify	( cube root of 16z^6)( cube root of 6z)	$(\sqrt[3]{16 z^{6}}) (\sqrt[3]{6 z})$
34090	Evaluate	1/36=6^(x-3)	$\frac{1}{36} = 6^{x - 3}$
34091	Solve for x	y=- log of a*x	$y = - \log (a \cdot x)$
34092	Solve the Function Operation	Given that f(x)=x^2+17x+70 and g(x)=x+7 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 17 x + 70$ and $g (x) = x + 7$ ; find $(f - g) (x)$ and express the result in standard form.
34093	Simplify	(x^(1/3))/(x^(-2/3))	$\frac{x^{\frac{1}{3}}}{x^{- \frac{2}{3}}}$
34094	Evaluate	-65y+19<-2y+41	$- 65 y + 19 < - 2 y + 41$
34095	Simplify	(p^(-3/4)q^3)^(1/3)	${(p^{- \frac{3}{4}} q^{3})}^{\frac{1}{3}}$
34096	Find the GCF	12a^4b^2c^2 , 20a^3bc^2	$12 a^{4} b^{2} c^{2}$ , $20 a^{3} b c^{2}$
34097	Evaluate	(-11-6--5+1+3*2)÷(-5)	$(- 11 - 6 - - 5 + 1 + 3 \times 2) \div (- 5)$
34098	Find the x and y Intercepts	f(x)=x^(1/5)	$f (x) = x^{\frac{1}{5}}$
34099	Factor by Grouping	48x^2y^2+9+64x^4y^4	$48 x^{2} y^{2} + 9 + 64 x^{4} y^{4}$
34100	Evaluate the Integral	integral from 0 to 4 of ( square root of x)^2 with respect to x	$\int_{0}^{4} {(\sqrt{x})}^{2} d x$