Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
38401	Find the Integral	2^(2x)	$2^{2 x}$
38402	Find the Antiderivative	f(x)=1/3cos(6x)-4sin(4x)	$f (x) = \frac{1}{3} \cos (6 x) - 4 \sin (4 x)$
38403	Find the Asymptotes	P(x)=x/(2x^2+5x-3)	$P (x) = \frac{x}{2 x^{2} + 5 x - 3}$
38404	Simplify	-2b^2+5ab+7a^2	$- 2 b^{2} + 5 a b + 7 a^{2}$
38405	Evaluate	(9x^-5)^3	${(9 x^{- 5})}^{3}$
38406	Solve for k	9k-5k=-3	$9 k - 5 k = - 3$
38407	Simplify	2(b-4)-3(a+2b+3)	$2 (b - 4) - 3 (a + 2 b + 3)$
38408	Divide	(8x^2y)/(x^7y^5)	$\frac{8 x^{2} y}{x^{7} y^{5}}$
38409	Solve the Function Operation	If f(x)=x^2-5x+6 and g(x)=2x^2+4x-1 ; find: f(-2)	If $f (x) = x^{2} - 5 x + 6$ and $g (x) = 2 x^{2} + 4 x - 1$ ; find: $f (- 2)$
38410	Solve for x	square root of x+6 = square root of 7x	$\sqrt{x + 6} = \sqrt{7 x}$
38411	Solve the Inequality for r	c=2pir	$c = 2 π r$
38412	Solve for x	3^(4x-2)=9^(-(x+1))	$3^{4 x - 2} = 9^{- (x + 1)}$
38413	Find Amplitude, Period, and Phase Shift	f(x)=2sin(2x)-pi/2	$f (x) = 2 \sin (2 x) - \frac{π}{2}$
38414	Solve the Inequality for t	8(t+2)+7(t+2)-3(t-2)<0	$8 (t + 2) + 7 (t + 2) - 3 (t - 2) < 0$
38415	Evaluate	(2^610^18)/(2^2425^9)	$\frac{2^{6} \cdot 10^{18}}{2^{24} \cdot 25^{9}}$
38416	Find the Derivative - d/dx	square root of \|x\|	$\sqrt{\| x \|}$
38417	Evaluate the Limit	limit as x approaches 1 of (3-2x-x^2)/(-4+3x+x^2)	$lim_{x \to 1} \frac{3 - 2 x - x^{2}}{- 4 + 3 x + x^{2}}$
38418	Simplify the Radical Expression	- square root of 25+ square root of -75+ square root of 36- square root of -48	$- \sqrt{25} + \sqrt{- 75} + \sqrt{36} - \sqrt{- 48}$
38419	Simplify	seventh root of (v^7s^6)/(s^13)	$\sqrt[7]{\frac{v^{7} s^{6}}{s^{13}}}$
38420	Find dy/dx	2y^3-x^2+2y=-4y^2-x^3	$2 y^{3} - x^{2} + 2 y = - 4 y^{2} - x^{3}$
38421	Solve the Inequality for x	5x^2+13x+3>9	$5 x^{2} + 13 x + 3 > 9$
38422	Evaluate	(-6)^-21(-6)^18	${(- 6)}^{- 21} {(- 6)}^{18}$
38423	Find the Inverse	f(x)=8((x+10)/9)^(1/7)	$f (x) = 8 {(\frac{x + 10}{9})}^{\frac{1}{7}}$
38424	Solve for x	2/(3x)-5/(6x)=1/(x+1)	$\frac{2}{3 x} - \frac{5}{6 x} = \frac{1}{x + 1}$
38425	Solve for x	x^2+121=-22x	$x^{2} + 121 = - 22 x$
38426	Find the x and y Intercepts	(2x^2+30x+108)/(x^2+9x)	$\frac{2 x^{2} + 30 x + 108}{x^{2} + 9 x}$
38427	Find the Antiderivative	4*3x^2	$4 \cdot 3 x^{2}$
38428	Find the Exact Value	2+3-1	$2 + 3 - 1$
38429	Graph Using a Table of Values	f(x)=-2^(x+5)-3	$f (x) = - 2^{x + 5} - 3$
38430	Simplify	-2*(-3g+9h)	$- 2 \times (- 3 g + 9 h)$
38431	Evaluate	5i(-7+6i)	$5 i (- 7 + 6 i)$
38432	Evaluate	(9-2^3)/(1-4)	$\frac{9 - 2^{3}}{1 - 4}$
38433	Graph Using a Table of Values	y=5(1/2)^x-3	$y = 5 {(\frac{1}{2})}^{x} - 3$
38434	Expand the Logarithmic Expression	log base 4 of (64x^3)/(y^4z^6)	$\log_{4} (\frac{64 x^{3}}{y^{4} z^{6}})$
38435	Determine if a Polynomial	(5x^4+13x^2-x+10)-(-6x^4+9x^3+7)	$(5 x^{4} + 13 x^{2} - x + 10) - (- 6 x^{4} + 9 x^{3} + 7)$
38436	Simplify	((12a^-3b^8c^-4)/(3a^7b^-3c^7))^-2	${(\frac{12 a^{- 3} b^{8} c^{- 4}}{3 a^{7} b^{- 3} c^{7}})}^{- 2}$
38437	Simplify	Simplify square root of 24	Simplify $\sqrt{24}$
38438	Solve for x	2(x-3)>=-3(-3+x)	$2 (x - 3) \geq - 3 (- 3 + x)$
38439	Solve for x	-5(4x-5)=21(7-x)	$- 5 (4 x - 5) = 21 (7 - x)$
38440	Combine Like Terms	1+2x-3x-4	$1 + 2 x - 3 x - 4$
38441	Solve the Inequality for x	5 square root of x-3-2<=13	$5 \sqrt{x - 3} - 2 \leq 13$
38442	Evaluate	2/(x-2)+x/(x+9)-(x+20)/(x^2+7x-18)	$\frac{2}{x - 2} + \frac{x}{x + 9} - \frac{x + 20}{x^{2} + 7 x - 18}$
38443	Simplify	(3x^3)/((6x^4)(4x^5))	$\frac{3 x^{3}}{(6 x^{4}) (4 x^{5})}$
38444	Solve for x	x+15=8 square root of x	$x + 15 = 8 \sqrt{x}$
38445	Graph	f(x)=x^2-4x^2	$f (x) = x^{2} - 4 x^{2}$
38446	Solve for y	15(y-4)-2(y-9)+5(y+6)=0	$15 (y - 4) - 2 (y - 9) + 5 (y + 6) = 0$
38447	Simplify	1/2x+(x-7)/2	$\frac{1}{2} x + \frac{x - 7}{2}$
38448	Solve for w	(w+3)/4=w/2	$\frac{w + 3}{4} = \frac{w}{2}$
38449	Evaluate	(2pi)/(\|3\|)	$\frac{2 π}{\| 3 \|}$
38450	Solve for x	x+ax=b	$x + a x = b$
38451	Simplify	(1+5^2)-16(1/2)^3	$(1 + 5^{2}) - 16 {(\frac{1}{2})}^{3}$
38452	Find the Derivative - d/dx	y=2sin(3x^3+5x^2-5)	$y = 2 \sin (3 x^{3} + 5 x^{2} - 5)$
38453	Graph	x-y<1 x-7y>49	$x - y < 1$ $x - 7 y > 49$
38454	Multiply	((x+1)-y)^2	${((x + 1) - y)}^{2}$
38455	Simplify	(36a^2a^-3b^6)/(4a^6b^-6)	$\frac{36 a^{2} a^{- 3} b^{6}}{4 a^{6} b^{- 6}}$
38456	Simplify	2y+9/(y+3)-9/(3-y)	$2 y + \frac{9}{y + 3} - \frac{9}{3 - y}$
38457	Add	(x-4)/(x^2+5x+6)+(x-1)/(x^2-4)	$\frac{x - 4}{x^{2} + 5 x + 6} + \frac{x - 1}{x^{2} - 4}$
38458	Evaluate	-(7-4x)=9	$- (7 - 4 x) = 9$
38459	Find the Maximum/Minimum Value	( natural log of x)/(x^2)	$\frac{\ln (x)}{x^{2}}$
38460	Solve for x	3 square root of 2x+5-15=0	$3 \sqrt{2 x + 5} - 15 = 0$
38461	Solve for x	3-5(x+4)=8(2x-3)	$3 - 5 (x + 4) = 8 (2 x - 3)$
38462	Simplify	(x+1)/(x^2-3x-4)+(x-3)/(x-2)	$\frac{x + 1}{x^{2} - 3 x - 4} + \frac{x - 3}{x - 2}$
38463	Solve the Inequality for x	x-6 1/2>-4	$x - 6 \frac{1}{2} > - 4$
38464	Simplify	(4+- square root of -16)/4	$\frac{4 + - \sqrt{- 16}}{4}$
38465	Simplify	square root of x(x+1)	$\sqrt{x} (x + 1)$
38466	Write in Standard Form	(x^2)/2	$\frac{x^{2}}{2}$
38467	Solve by Factoring	5x^(5/2)-10x^(3/2)=120x^(1/2)	$5 x^{\frac{5}{2}} - 10 x^{\frac{3}{2}} = 120 x^{\frac{1}{2}}$
38468	Simplify the Radical Expression	square root of cube root of 64a^4	$\sqrt{\sqrt[3]{64 a^{4}}}$
38469	Determine if Odd, Even, or Neither	f(x)=(x^2-7)/(5x^3+x)	$f (x) = \frac{x^{2} - 7}{5 x^{3} + x}$
38470	Evaluate	(5^6)/((5^0)^-4)	$\frac{5^{6}}{{(5^{0})}^{- 4}}$
38471	Evaluate	(-x^5y^5-1/4x^3y^2+2/3x^5y-6xy^3)÷(-3x^2y^3)	$(- x^{5} y^{5} - \frac{1}{4} x^{3} y^{2} + \frac{2}{3} x^{5} y - 6 x y^{3}) \div (- 3 x^{2} y^{3})$
38472	Solve for x	x^2+3x+8=6x-7	$x^{2} + 3 x + 8 = 6 x - 7$
38473	Divide	2/(-1/2)	$\frac{2}{- \frac{1}{2}}$
38474	Find Where Increasing/Decreasing	3/4x^4-x^3-84x^2-2	$\frac{3}{4} x^{4} - x^{3} - 84 x^{2} - 2$
38475	Solve the Inequality for x	-2(x+2)<x+8	$- 2 (x + 2) < x + 8$
38476	Solve the Inequality for y	-3(y-1)<=21	$- 3 (y - 1) \leq 21$
38477	Solve the Inequality for x	square root of 2x+5- square root of 9+x>0	$\sqrt{2 x + 5} - \sqrt{9 + x} > 0$
38478	Evaluate	7-2/3x<x-8	$7 - \frac{2}{3} x < x - 8$
38479	Solve for a	a+b+c=P	$a + b + c = P$
38480	Find the x and y Intercepts	C(t)=2(t-4)(t+1)(t-6)	$C (t) = 2 (t - 4) (t + 1) (t - 6)$
38481	Write in Standard Form	3b^2-2b+b^2	$3 b^{2} - 2 b + b^{2}$
38482	Solve for j	fourth root of j=4	$\sqrt[4]{j} = 4$
38483	Solve the Rational Equation for x	square root of 5x+1-6=0	$\sqrt{5 x + 1} - 6 = 0$
38484	Graph	x=-2 3x-2y=-18	$x = - 2$ $3 x - 2 y = - 18$
38485	Solve for x	(6^x)^10=((6^12)^2)/(6^4)	${(6^{x})}^{10} = \frac{{(6^{12})}^{2}}{6^{4}}$
38486	Find the Magnitude	(-2,2)	$(- 2, 2)$
38487	Graph	f(x)=((x-5)(x+4))/(x-5)	$f (x) = \frac{(x - 5) (x + 4)}{x - 5}$
38488	Solve for θ in Degrees	3tan(theta)+1=0	$3 \tan (θ) + 1 = 0$
38489	Solve the System of Equations	x+y-z=-2 -3x+9y-5z=6 x+9y-7z=-8	$x + y - z = - 2$ $- 3 x + 9 y - 5 z = 6$ $x + 9 y - 7 z = - 8$
38490	Convert to a Percentage	15 is what percent of 25	$15$ is what percent of $25$
38491	Subtract	7/x-(5x+7)/(x-9)	$\frac{7}{x} - \frac{5 x + 7}{x - 9}$
38492	Solve the Rational Equation for x	square root of x+10-7=-5	$\sqrt{x + 10 - 7} = - 5$
38493	Solve the Inequality for x	2^x>0	$2^{x} > 0$
38494	Solve by Substitution	4x+3y=8 and x-2y=-13	$4 x + 3 y = 8$ and $x - 2 y = - 13$
38495	Evaluate	f(t)=4(1.25)^(t+3)	$f (t) = 4 {(1.25)}^{t + 3}$
38496	Graph	sin(1x)^(-)+cos(1x)^(-)	${\sin (1 x)}^{-} + {\cos (1 x)}^{-}$
38497	Evaluate the Summation	5 sum from i=1 to 14 of i^2+14*13	$5 \sum_{i = 1}^{14} i^{2} + 14 \cdot 13$
38498	Solve the Inequality for z	z/4+22<=38	$\frac{z}{4} + 22 \leq 38$
38499	Simplify	3x^-2y^(1/2) cube root of 8x^4y	$3 x^{- 2} y^{\frac{1}{2}} \sqrt[3]{8 x^{4} y}$
38500	Evaluate the Integral	integral of (x^2-3x-5)/x with respect to x	$\int \frac{x^{2} - 3 x - 5}{x} d x$