Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
7501	Simplify	(x-25)/(5x-25)+(3x+5)/(x^2-5x)	$\frac{x - 25}{5 x - 25} + \frac{3 x + 5}{x^{2} - 5 x}$
7502	Simplify	fourth root of 7^5* square root of 7^3	$\sqrt[4]{7^{5}} \cdot \sqrt{7^{3}}$
7503	Simplify	((x^2-64)^5)/((x^2-16x+64) square root of x+8)	$\frac{{(x^{2} - 64)}^{5}}{(x^{2} - 16 x + 64) \sqrt{x + 8}}$
7504	Solve for x	square root of x^2+6x=x+ square root of 2x	$\sqrt{x^{2} + 6 x} = x + \sqrt{2 x}$
7505	Solve for x	(8x)^(4/3)+44=300	${(8 x)}^{\frac{4}{3}} + 44 = 300$
7506	Solve for x	(1/9)^(x+3)=27^x	${(\frac{1}{9})}^{x + 3} = 27^{x}$
7507	Solve the Rational Equation for x	square root of 19x+24=-5 square root of x	$\sqrt{19 x + 24} = - 5 \sqrt{x}$
7508	Simplify	10/(10^(-4/5))	$\frac{10}{10^{- \frac{4}{5}}}$
7509	Simplify	(x-y)/x-(5y)/(x^2)*(x^2-xy)/(5y)	$\frac{x - y}{x} - \frac{5 y}{x^{2}} \cdot \frac{x^{2} - x y}{5 y}$
7510	Simplify	( fourth root of 7)/( square root of 7)	$\frac{\sqrt[4]{7}}{\sqrt[2]{7}}$
7511	Write the Fraction in Simplest Form	(3(v^5)^4)/(6v^5)	$\frac{3 {(v^{5})}^{4}}{6 v^{5}}$
7512	Write in Standard Form	13-c^3+5d^3-7c^2d^2	$13 - c^{3} + 5 d^{3} - 7 c^{2} d^{2}$
7513	Solve for x	6^(5x+1)=6^2	$6^{5 x + 1} = 6^{2}$
7514	Simplify	(3ab^2c)^2(-2a^2b^4)^2(a^4c^2)^3(a^2b^4c^5)^2(2a^3b^2c^4)^3	${(3 a b^{2} c)}^{2} {(- 2 a^{2} b^{4})}^{2} {(a^{4} c^{2})}^{3} {(a^{2} b^{4} c^{5})}^{2} {(2 a^{3} b^{2} c^{4})}^{3}$
7515	Find the Excluded Values	((x^2-3x-10)/(x-3))/((x+2)/(3x-9))	$\frac{\frac{x^{2} - 3 x - 10}{x - 3}}{\frac{x + 2}{3 x - 9}}$
7516	Find the Domain	sin(x)^3=sin(x)+1	$\sin^{3} (x) = \sin (x) + 1$
7517	Solve the Inequality for x	2x+y>6	$2 x + y > 6$
7518	Convert to Radical Form	(x^(1/2))^(1/3)	${(x^{\frac{1}{2}})}^{\frac{1}{3}}$
7519	Simplify the Radical Expression	(9r^4)^(1/2)	${(9 r^{4})}^{\frac{1}{2}}$
7520	Graph	y=-1/4x+1 x-y=4	$y = - \frac{1}{4} x + 1$ $x - y = 4$
7521	Divide	(4x^4+5x-4)÷(x^2-3x-2)	$(4 x^{4} + 5 x - 4) \div (x^{2} - 3 x - 2)$
7522	Solve for x	3x^2=12-5x	$3 x^{2} = 12 - 5 x$
7523	Solve for x	1/(3(x+5))-2/(3x)=1/(x+5)	$\frac{1}{3 (x + 5)} - \frac{2}{3 x} = \frac{1}{x + 5}$
7524	Simplify	y^2 cube root of 125x^5y^5	$y^{2} \sqrt[3]{125 x^{5} y^{5}}$
7525	Solve for x	x^2-ax+bx-ab=0	$x^{2} - a x + b x - a b = 0$
7526	Evaluate the Limit	limit as x approaches 0 of ((x+2)^2-4)/(x^2+x)	$lim_{x \to 0} \frac{{(x + 2)}^{2} - 4}{x^{2} + x}$
7527	Graph	x>-3 y<-1/3x+3 y>x-1	$x > - 3$ $y < - \frac{1}{3} x + 3$ $y > x - 1$
7528	Simplify the Radical Expression	cube root of 3/2	$\sqrt[3]{\frac{3}{2}}$
7529	Simplify	(8 square root of 5)/(2 square root of 36)	$\frac{8 \sqrt{5}}{2 \sqrt{36}}$
7530	Find the Inverse	f(x)=-1/(x-1)+3	$f (x) = - \frac{1}{x - 1} + 3$
7531	Evaluate	((2x^3y^2)^3)/((3xy)^2)	$\frac{{(2 x^{3} y^{2})}^{3}}{{(3 x y)}^{2}}$
7532	Multiply	(3- square root of x)(3+ square root of x)	$(3 - \sqrt{x}) (3 + \sqrt{x})$
7533	Simplify/Condense	log base 3 of 6+2* log base 3 of x+1/2 log base 3 of 9	$\log_{3} (6) + 2 \cdot \log_{3} (x) + \frac{1}{2} \log_{3} (9)$
7534	Find the x and y Intercepts	f(x)=3(1/2)^x-4	$f (x) = 3 {(\frac{1}{2})}^{x} - 4$
7535	Evaluate	x/((2x^0)^2)	$\frac{x}{{(2 x^{0})}^{2}}$
7536	Find the Derivative - d/dx	-1/(3x^3)	$\frac{- 1}{3 x^{3}}$
7537	Solve for z	25^(z+2)=125	$25^{z + 2} = 125$
7538	Solve for x	5^(3x^2+12)=25^(-9x-6)	$5^{3 x^{2} + 12} = 25^{- 9 x - 6}$
7539	Multiply	cube root of 36* cube root of 6	$\sqrt[3]{36} \cdot \sqrt[3]{6}$
7540	Divide	(x^3+2x^2-x-2)÷(x+2)	$(x^{3} + 2 x^{2} - x - 2) \div (x + 2)$
7541	Simplify	(2x+i)^2	${(2 x + i)}^{2}$
7542	Find dy/dx	-2x^3y+2x=3-3y^2	$- 2 x^{3} y + 2 x = 3 - 3 y^{2}$
7543	Solve the Inequality for k	\|1-3/4k\|>=7	$\| 1 - \frac{3}{4} k \| \geq 7$
7544	Simplify	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2) ?	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$ ?
7545	Find the Degree, Leading Term, and Leading Coefficient	f(t)=3t(t-3)(t+4)	$f (t) = 3 t (t - 3) (t + 4)$
7546	Solve the Inequality for x	-1/5x<=8	$- \frac{1}{5} x \leq 8$
7547	Solve for d	3- fourth root of 9d=0	$3 - \sqrt[4]{9 d} = 0$
7548	Simplify	( square root of 3+i square root of 2)/( square root of 3-i square root of 2)	$\frac{\sqrt{3} + i \sqrt{2}}{\sqrt{3} - i \sqrt{2}}$
7549	Solve Using the Quadratic Formula	7x^2-9x+12=5x^2-6	$7 x^{2} - 9 x + 12 = 5 x^{2} - 6$
7550	Solve for x	19+3=x+19	$19 + 3 = x + 19$
7551	Graph	f(x)=3x-1 if x>=-1; -5 if x<-1	$f (x) = {\begin{cases} 3 x - 1 & x \geq - 1 \\ - 5 & x < - 1 \end{cases}$
7552	Simplify	5(c+8)+c+3	$5 (c + 8) + c + 3$
7553	Simplify	square root of square root of 64	$\sqrt{\sqrt{64}}$
7554	Add	(a^2-3ab+2b^2)+(-4a^2+5ab-b^2)	$(a^{2} - 3 a b + 2 b^{2}) + (- 4 a^{2} + 5 a b - b^{2})$
7555	Simplify	3 square root of 10(5 square root of 2-6 square root of 8)	$3 \sqrt{10} (5 \sqrt{2} - 6 \sqrt{8})$
7556	Simplify	(3 square root of 15)/( square root of 9)	$\frac{3 \sqrt{15}}{\sqrt{9}}$
7557	Simplify	26 root of (n^8)/(n^-5)	$\sqrt[26]{\frac{n^{8}}{n^{- 5}}}$
7558	Solve for x	-6x+2(5(x+1)+8)=38	$- 6 x + 2 (5 (x + 1) + 8) = 38$
7559	Convert from Radians to Degrees	2.5rad	$2.5$ rad
7560	Convert to Interval Notation	x(x-5)^2(x+2)^2>0	$x {(x - 5)}^{2} {(x + 2)}^{2} > 0$
7561	Simplify	1/( square root of 2+ square root of 3)	$\frac{1}{\sqrt{2} + \sqrt{3}}$
7562	Simplify	fourth root of 256x^6* square root of 100x^9	$\sqrt[4]{256 x^{6}} \cdot \sqrt{100 x^{9}}$
7563	Find All Complex Solutions	x^4-11x^2=80	$x^{4} - 11 x^{2} = 80$
7564	Solve for g	-4g-20-16g=10-18g	$- 4 g - 20 - 16 g = 10 - 18 g$
7565	Find the Cotangent Given the Point	(- square root of 3,-1)	$(- \sqrt{3}, - 1)$
7566	Simplify	(2/5+3/2i)^2	${(\frac{2}{5} + \frac{3}{2} i)}^{2}$
7567	Solve for x	(1/100)^(3x-84)=(1/10)^(-3x^2+3x)	${(\frac{1}{100})}^{3 x - 84} = {(\frac{1}{10})}^{- 3 x^{2} + 3 x}$
7568	Find the Antiderivative	f(x)=31/(sin(x)^2)	$f (x) = \frac{31}{\sin^{2} (x)}$
7569	Solve for n	-17+12n=18-16+11n	$- 17 + 12 n = 18 - 16 + 11 n$
7570	Solve the Function Operation	Given g(x)=-x+2 ; find g(5)	Given $g (x) = - x + 2$ ; find $g (5)$
7571	Simplify	((x^2+2x-24)/(x-3))÷((x+4)/(x-3))	$\frac{x^{2} + 2 x - 24}{x - 3} \div \frac{x + 4}{x - 3}$
7572	Simplify	x-3+2x+3+2x	$x - 3 + 2 x + 3 + 2 x$
7573	Simplify	x square root of 49y^3-y square root of 4x^2y	$x \sqrt{49 y^{3}} - y \sqrt{4 x^{2} y}$
7574	Simplify	(5x^4y^2+20xy^6-10x)÷5xy^2	$(5 x^{4} y^{2} + 20 x y^{6} - 10 x) \div 5 x y^{2}$
7575	Simplify	((4k^2+2k)(5k^2-3))/(6k)	$\frac{(4 k^{2} + 2 k) (5 k^{2} - 3)}{6 k}$
7576	Simplify	(10/3)/(1/6)-(2.8+1.2)	$\frac{\frac{10}{3}}{\frac{1}{6}} - (2.8 + 1.2)$
7577	Find the Asymptotes	(2x-16)/(3x^2-11x+6)	$\frac{2 x - 16}{3 x^{2} - 11 x + 6}$
7578	Solve for x	sin(x)cos(x)=1	$\sin (x) \cos (x) = 1$
7579	Find the Domain and Range	y=5sin(4x-pi)-8	$y = 5 \sin (4 x - π) - 8$
7580	Solve for n	4- square root of 3n=0	$4 - \sqrt{3 n} = 0$
7581	Simplify the Radical Expression	fourth root of 81^3	$\sqrt[4]{81^{3}}$
7582	Solve for x	4=(3+2y)/(10x+3)	$4 = \frac{3 + 2 y}{10 x + 3}$
7583	Graph	y=1/2 square root of x-3	$y = \frac{1}{2} \sqrt{x} - 3$
7584	Find the Integral	(8(4^x))dx	$(8 (4^{x})) d x$
7585	Determine if a Polynomial	7p^5-p/10+p^4	$7 p^{5} - \frac{p}{10} + p^{4}$
7586	Evaluate	g(-x)=x^3	$g (- x) = x^{3}$
7587	Simplify/Condense	5* log of a+1/2* log of b-4* log of c	$5 \cdot \log (a) + \frac{1}{2} \cdot \log (b) - 4 \cdot \log (c)$
7588	Find the Derivative - d/dt	y=4 log base 3 of t	$y = 4 \log_{3} (t)$
7589	Simplify	8(-2/3)	$8 (\frac{- 2}{3})$
7590	Solve for a	square root of 2a+2- square root of 4a-2=0	$\sqrt{2 a + 2} - \sqrt{4 a - 2} = 0$
7591	Find the Domain	((b-2)^2)/((2-b)^2)	$\frac{{(b - 2)}^{2}}{{(2 - b)}^{2}}$
7592	Convert to Radical Form	(a^2+b^2)^(1/2)	${(a^{2} + b^{2})}^{\frac{1}{2}}$
7593	Simplify	(2(3x)^2)/((3x)^-2)	$\frac{2 {(3 x)}^{2}}{{(3 x)}^{- 2}}$
7594	Simplify	(-3x-7)+(4x+7)	$(- 3 x - 7) + (4 x + 7)$
7595	Simplify	7x^3 cube root of 375x^8y^10	$7 x^{3} \sqrt[3]{375 x^{8} y^{10}}$
7596	Find the Domain	((y^2-5y+4)/(y^2-1))÷((y^2-9)/(y^2+5y+4))	$\frac{y^{2} - 5 y + 4}{y^{2} - 1} \div \frac{y^{2} - 9}{y^{2} + 5 y + 4}$
7597	Simplify the Radical Expression	7/(7^(1/3))	$\frac{7}{7^{\frac{1}{3}}}$
7598	Evaluate the Integral	integral of ((x^2+1)/( square root of x)) with respect to x	$\int (\frac{x^{2} + 1}{\sqrt{x}}) d x$
7599	Simplify	(5+ square root of -1)(2- square root of -36)	$(5 + \sqrt{- 1}) (2 - \sqrt{- 36})$
7600	Solve for x	9^(6x+16)=(1/3)^(2x^2+8x)	$9^{6 x + 16} = {(\frac{1}{3})}^{2 x^{2} + 8 x}$