Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
39401	Evaluate	i^13i^29i^6	$i^{13} \cdot i^{29} \cdot i^{6}$
39402	Simplify	cube root of 3x+9 cube root of 3x-4 cube root of 3x	$\sqrt[3]{3 x} + 9 \sqrt[3]{3 x} - 4 \sqrt[3]{3 x}$
39403	Find the Distance Between Two Points	(3,-2) and (-4,5)	$(3, - 2)$ and $(- 4, 5)$
39404	Solve for x	(3x)/2-3=2x	$\frac{3 x}{2} - 3 = 2 x$
39405	Find the Antiderivative	f(x)=2x^2+x	$f (x) = 2 x^{2} + x$
39406	Simplify	1/y+xy	$\frac{1}{y} + x y$
39407	Find the Derivative - d/dx	square root of (3x-2)^2-4	$\sqrt{{(3 x - 2)}^{2} - 4}$
39408	Simplify	-1/(2/(( square root of 3)/2))	$- \frac{1}{\frac{2}{\frac{\sqrt{3}}{2}}}$
39409	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3	$f (x) = x^{3}$
39410	Graph	-n<2 or 2n-3>5	$- n < 2$ or $2 n - 3 > 5$
39411	Solve the System of Inequalities	-n<2 or 2n-3>5	$- n < 2$ or $2 n - 3 > 5$
39412	Convert to a Decimal	tan(60)deg	$\tan (60)$ degrees
39413	Divide	(15x^3y^4)÷5x^2y^2	$15 x^{3} y^{4} \div 5 x^{2} y^{2}$
39414	Solve the Function Operation	f(x)=(x+7)^2-7 if x!=-4; 3 if x=-4 Find f(-5)	$f (x) = {\begin{cases} {(x + 7)}^{2} - 7 & x \neq - 4 \\ 3 & x = - 4 \end{cases}$ Find $f (- 5)$
39415	Solve for b	square root of b-7+6<=12	$\sqrt{b - 7} + 6 \leq 12$
39416	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^3+x-5x^5+1	$f (x) = 2 x^{3} + x - 5 x^{5} + 1$
39417	Solve for x	2x(a-b)=5b	$2 x (a - b) = 5 b$
39418	Evaluate the Limit	limit as x approaches (5pi)/(2^(-)) of x^2cot(x)	$lim_{x \to \frac{5 π}{2^{-}}} x^{2} \cot (x)$
39419	Divide	((3k+5)/(3k^4+5k^3))÷((35k^2+2k-1)/(7k^3-k^2))	$\frac{3 k + 5}{3 k^{4} + 5 k^{3}} \div \frac{35 k^{2} + 2 k - 1}{7 k^{3} - k^{2}}$
39420	Find the Integral	1/(1+x^2)dx	$\frac{1}{1 + x^{2}} d x$
39421	Solve for c	c^3-27=0	$c^{3} - 27 = 0$
39422	Evaluate	e^(2x)-e^x-6=0	$e^{2 x} - e^{x} - 6 = 0$
39423	Find the Exact Value	1/(4^-3)	$\frac{1}{4^{- 3}}$
39424	Find the Inverse	f(x)=x+2 square root of x-1	$f (x) = x + 2 \sqrt{x - 1}$
39425	Evaluate the Integral	integral from 1 to square root of 3 of 1/(6+6x^2) with respect to x	$\int_{1}^{\sqrt{3}} \frac{1}{6 + 6 x^{2}} d x$
39426	Solve the Inequality for x	-5<=(4-3x)/2<1	$- 5 \leq \frac{4 - 3 x}{2} < 1$
39427	Divide Using Long Polynomial Division	(g^3-2g^2+3g-1)/(g^2-2g)	$\frac{g^{3} - 2 g^{2} + 3 g - 1}{g^{2} - 2 g}$
39428	Solve for x	(\|x\|)/7=5	$\frac{\| x \|}{7} = 5$
39429	Solve for x	log base 9 of x-4+ log base 9 of x+1 = log base 9 of x+5+ log base 9 of x-6	$\log_{9} (x - 4) + \log_{9} (x + 1) = \log_{9} (x + 5) + \log_{9} (x - 6)$
39430	Graph	x=3-1/2y	$x = 3 - \frac{1}{2} y$
39431	Simplify	((5xy)/((x-y)(x-y)))((x-y)/(x+y))	$(\frac{5 x y}{(x - y) (x - y)}) (\frac{x - y}{x + y})$
39432	Graph	2x=-1/2y	$2 x = - \frac{1}{2} y$
39433	Simplify	csc(45 degrees )	$\csc (45 °)$
39434	Solve the Rational Equation for x	-2+x/(x+5)=-5/(x+5)	$- 2 + \frac{x}{x + 5} = - \frac{5}{x + 5}$
39435	Evaluate the Integral	integral of 45sin(x)^3cos(x)^2 with respect to x	$\int 45 \sin^{3} (x) \cos^{2} (x) d x$
39436	Graph	\|x\|>=3 \|y\|<=4	$\| x \| \geq 3$ $\| y \| \leq 4$
39437	Simplify	((3k+5)/(3k^4+5k^3))÷((35k^2+2k-1)/(7k^3-k^2))	$\frac{3 k + 5}{3 k^{4} + 5 k^{3}} \div \frac{35 k^{2} + 2 k - 1}{7 k^{3} - k^{2}}$
39438	Write in Standard Form	(x-1)^2(x+1)	${(x - 1)}^{2} (x + 1)$
39439	Simplify	p^(x-1)p^(x+1)	$p^{x - 1} p^{x + 1}$
39440	Find the Antiderivative	1/(x^2(x+1))	$\frac{1}{x^{2} (x + 1)}$
39441	Simplify	\|(1+i)^n\|	$\| {(1 + i)}^{n} \|$
39442	Write in Slope-Intercept Form	-15x=11+y	$- 15 x = 11 + y$
39443	Find the Derivative - d/dx	2e^(x/2)	$2 e^{\frac{x}{2}}$
39444	Evaluate	(3x^-2y^4)^-3	${(3 x^{- 2} y^{4})}^{- 3}$
39445	Evaluate	2pi(1/4)	$2 π (\frac{1}{4})$
39446	Solve the Function Operation	Given that f(x)=x^2-2x-35 and g(x)=x+5 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 2 x - 35$ and $g (x) = x + 5$ ; find $(f \div g) (x)$ and express the result in standard form.
39447	Factor	4x^2+1-4x	$4 x^{2} + 1 - 4 x$
39448	Evaluate	-1/(2(3)^(1/2))-(3(3)^(1/2))/4	$- \frac{1}{2 {(3)}^{\frac{1}{2}}} - \frac{3 {(3)}^{\frac{1}{2}}}{4}$
39449	Graph	{(x,y)\|y>2}	${(x, y) \| y > 2}$
39450	Solve for h	-1/3h>=8	$- \frac{1}{3} h \geq 8$
39451	Subtract	(3c)/(c-4)-2/5	$\frac{3 c}{c - 4} - \frac{2}{5}$
39452	Add	(6x^3+3x^2+3)+(2x^3-5x+1)	$(6 x^{3} + 3 x^{2} + 3) + (2 x^{3} - 5 x + 1)$
39453	Solve for n	-40=-4 square root of 17n-2	$- 40 = - 4 \sqrt{17 n - 2}$
39454	Simplify the Radical Expression	square root of -16x^2y^8	$\sqrt{- 16 x^{2} y^{8}}$
39455	Simplify	cube root of (64x^3)/8	$\sqrt[3]{\frac{64 x^{3}}{8}}$
39456	Find the Domain and Range	y = square root of 3-s	$y = \sqrt{3} - s$
39457	Evaluate the Limit	limit as x approaches 3 of (x^2-x-6)/( square root of 5x-6-3)	$lim_{x \to 3} \frac{x^{2} - x - 6}{\sqrt{5 x - 6} - 3}$
39458	Solve the Rational Equation for x	square root of x-4=0	$\sqrt{x - 4} = 0$
39459	Find the Antiderivative	f(x)=sin(x)^4	$f (x) = \sin^{4} (x)$
39460	Solve the Function Operation	If c(x)=5/(x-2) and d(x)=x+3 ; what is the domain of (cd)(x) ?	If $c (x) = \frac{5}{x - 2}$ and $d (x) = x + 3$ ; what is the domain of $(c d) (x)$ ?
39461	Use the Initial Value to Solve for c	y'=2xy , y=ce^(x^2) , y(0)=1	$y' = 2 x y$ , $y = c e^{x^{2}}$ , $y (0) = 1$
39462	Evaluate	(81x)^(1/4)	${(81 x)}^{\frac{1}{4}}$
39463	Convert to Trigonometric Form	tan(90-theta)	$\tan (90 - θ)$
39464	Add	(-2x^2+x+6)+(5x^2-4x-2)	$(- 2 x^{2} + x + 6) + (5 x^{2} - 4 x - 2)$
39465	Simplify	9y-(3-8(y-4))	$9 y - (3 - 8 (y - 4))$
39466	Solve the Inequality for m	3m>=6	$3 m \geq 6$
39467	Simplify	(x^3+6x^2-17x+2)-(x^3-x^2-11x+36)	$(x^{3} + 6 x^{2} - 17 x + 2) - (x^{3} - x^{2} - 11 x + 36)$
39468	Multiply	(x^2+5x-6)/(x^2-9x+8)*(x^2)/(3x+18)	$\frac{x^{2} + 5 x - 6}{x^{2} - 9 x + 8} \cdot \frac{x^{2}}{3 x + 18}$
39469	Solve the Inequality for m	4(3m+10)>=-3m-51+8m	$4 (3 m + 10) \geq - 3 m - 51 + 8 m$
39470	Find the Derivative - d/dx	4e^x+4e^(-x)	$4 e^{x} + 4 e^{- x}$
39471	Multiply	(x^2-1)/(5xy)*(x^2y)/(1+x)	$\frac{x^{2} - 1}{5 x y} \cdot \frac{x^{2} y}{1 + x}$
39472	Simplify	(8(m+1))/(7m)*9/(8(m+1))	$\frac{8 (m + 1)}{7 m} \cdot \frac{9}{8 (m + 1)}$
39473	Solve for x	((4^6)/(4^x))^3=4^6	${(\frac{4^{6}}{4^{x}})}^{3} = 4^{6}$
39474	Evaluate the Integral	Evaluate integral of 12x^2 with respect to x	Evaluate $\int 12 x^{2} d x$
39475	Simplify	-12i square root of 98	$- 12 i \sqrt{98}$
39476	Evaluate the Integral	integral from 1 to 3 of (2x^3-4x^-2) with respect to x	$\int_{1}^{3} (2 x^{3} - 4 x^{- 2}) d x$
39477	Find the Arc Length	theta=(4pi)/5 , r=9cm	$θ = \frac{4 π}{5}$ , $r = 9 cm$
39478	Evaluate	(x+2)(x+3)=x^2+5x+6	$(x + 2) (x + 3) = x^{2} + 5 x + 6$
39479	Graph	1/2x=y	$\frac{1}{2} x = y$
39480	Simplify	(a^2-2ab+b^2)+(2a^2+2ab+b^2)	$(a^{2} - 2 a b + b^{2}) + (2 a^{2} + 2 a b + b^{2})$
39481	Find the Maximum/Minimum Value	y=8cos(pi/4x-pi/2)	$y = 8 \cos (\frac{π}{4} x - \frac{π}{2})$
39482	Simplify	4x^2+5x-3x^2+2y-3x+2y^2	$4 x^{2} + 5 x - 3 x^{2} + 2 y - 3 x + 2 y^{2}$
39483	Solve for x	1 2/3÷5.5+1 7/12÷(2.25-x)=1 1/6	$1 \frac{2}{3} \div 5.5 + 1 \frac{7}{12} \div (2.25 - x) = 1 \frac{1}{6}$
39484	Simplify	5-(4-7)/(5-4)	$5 - \frac{4 - 7}{5 - 4}$
39485	Solve the Inequality for x	2+\|1-x/2\|>=5	$2 + \| 1 - \frac{x}{2} \| \geq 5$
39486	Simplify	tan(A)-csc(A)sec(A)(1-cos(A)^2)	$\tan (A) - \csc (A) \sec (A) (1 - \cos^{2} (A))$
39487	Solve for x	(x+7)^2=x^2+14x+49	${(x + 7)}^{2} = x^{2} + 14 x + 49$
39488	Evaluate the Integral	integral of 20 cube root of 3x-2 with respect to x	$\int 20 \sqrt[3]{3 x - 2} d x$
39489	Find the Symmetry	x-4y=8	$x - 4 y = 8$
39490	Find the Inverse	f(x)=5(( fifth root of x)/6+9)	$f (x) = 5 (\frac{\sqrt[5]{x}}{6} + 9)$
39491	Solve the Function Operation	f(x)=8x^5-7 ; find f^-1(x)	$f (x) = 8 x^{5} - 7$ ; find $f^{- 1} (x)$
39492	Solve the Rational Equation for x	square root of x^2-6x+9+2x=9	$\sqrt{x^{2} - 6 x + 9} + 2 x = 9$
39493	Simplify	(a-5)/(15a^2b^3)+8/(24ab^3)	$\frac{a - 5}{15 a^{2} b^{3}} + \frac{8}{24 a b^{3}}$
39494	Solve for x	square root of 25x- square root of 16x=3	$\sqrt{25 x} - \sqrt{16 x} = 3$
39495	Simplify	x(2x^2+1)	$x (2 x^{2} + 1)$
39496	Integrate By Parts	integral of natural log of x^2+1 with respect to x	$\int \ln (x^{2} + 1) d x$
39497	Solve for t	t^(1/2)-4t^(1/4)+4=0	$t^{\frac{1}{2}} - 4 t^{\frac{1}{4}} + 4 = 0$
39498	Solve for r	d=(r+10)t	$d = (r + 10) t$
39499	Verify the Identity	x^3-2=(x- cube root of 2)(x^2+ cube root of 2x+ cube root of 4)	$x^{3} - 2 = (x - \sqrt[3]{2}) (x^{2} + \sqrt[3]{2} x + \sqrt[3]{4})$
39500	Solve for c	(4c)/(c-5)-1/(c+1)=(3c^2+3)/(c^2-4c-5)	$\frac{4 c}{c - 5} - \frac{1}{c + 1} = \frac{3 c^{2} + 3}{c^{2} - 4 c - 5}$