Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230501	Evaluate	(20e^(10-6))/((1+e^(10-6))^2)	$\frac{20 e^{10 - 6}}{{(1 + e^{10 - 6})}^{2}}$
230502	Find the x and y Intercepts	p(x)=(x^2-9)(x^2+x-2)	$p (x) = (x^{2} - 9) (x^{2} + x - 2)$
230503	Solve for n	39=6(6n-3)-3(3n-1)	$39 = 6 (6 n - 3) - 3 (3 n - 1)$
230504	Simplify	2x^-1y^4*2y^0	$2 x^{- 1} y^{4} \cdot 2 y^{0}$
230505	Solve for y	8/(7y-2)=3	$\frac{8}{7 y - 2} = 3$
230506	Solve for x	2 square root of x-1+3=1	$2 \sqrt{x - 1} + 3 = 1$
230507	Divide	(2h^4-h^3+h^2+h-3)/(h^2-1)	$\frac{2 h^{4} - h^{3} + h^{2} + h - 3}{h^{2} - 1}$
230508	Simplify	-2b^2+5ab+7a^2	$- 2 b^{2} + 5 a b + 7 a^{2}$
230509	Evaluate	(9x^-5)^3	${(9 x^{- 5})}^{3}$
230510	Solve for k	9k-5k=-3	$9 k - 5 k = - 3$
230511	Simplify	2(b-4)-3(a+2b+3)	$2 (b - 4) - 3 (a + 2 b + 3)$
230512	Divide	(8x^2y)/(x^7y^5)	$\frac{8 x^{2} y}{x^{7} y^{5}}$
230513	Solve for x	square root of x+6 = square root of 7x	$\sqrt{x + 6} = \sqrt{7 x}$
230514	Solve the Inequality for r	c=2pir	$c = 2 π r$
230515	Solve for x	3^(4x-2)=9^(-(x+1))	$3^{4 x - 2} = 9^{- (x + 1)}$
230516	Solve the Inequality for t	8(t+2)+7(t+2)-3(t-2)<0	$8 (t + 2) + 7 (t + 2) - 3 (t - 2) < 0$
230517	Evaluate	(2^610^18)/(2^2425^9)	$\frac{2^{6} \cdot 10^{18}}{2^{24} \cdot 25^{9}}$
230518	Simplify the Radical Expression	- square root of 25+ square root of -75+ square root of 36- square root of -48	$- \sqrt{25} + \sqrt{- 75} + \sqrt{36} - \sqrt{- 48}$
230519	Simplify	seventh root of (v^7s^6)/(s^13)	$\sqrt[7]{\frac{v^{7} s^{6}}{s^{13}}}$
230520	Solve the Inequality for x	5x^2+13x+3>9	$5 x^{2} + 13 x + 3 > 9$
230521	Evaluate	(-6)^-21(-6)^18	${(- 6)}^{- 21} {(- 6)}^{18}$
230522	Find the Inverse	f(x)=8((x+10)/9)^(1/7)	$f (x) = 8 {(\frac{x + 10}{9})}^{\frac{1}{7}}$
230523	Solve for x	2/(3x)-5/(6x)=1/(x+1)	$\frac{2}{3 x} - \frac{5}{6 x} = \frac{1}{x + 1}$
230524	Solve for x	x^2+121=-22x	$x^{2} + 121 = - 22 x$
230525	Find the x and y Intercepts	(2x^2+30x+108)/(x^2+9x)	$\frac{2 x^{2} + 30 x + 108}{x^{2} + 9 x}$
230526	Find the Exact Value	2+3-1	$2 + 3 - 1$
230527	Graph Using a Table of Values	f(x)=-2^(x+5)-3	$f (x) = - 2^{x + 5} - 3$
230528	Simplify	-2*(-3g+9h)	$- 2 \times (- 3 g + 9 h)$
230529	Evaluate	5i(-7+6i)	$5 i (- 7 + 6 i)$
230530	Evaluate	(9-2^3)/(1-4)	$\frac{9 - 2^{3}}{1 - 4}$
230531	Graph Using a Table of Values	y=5(1/2)^x-3	$y = 5 {(\frac{1}{2})}^{x} - 3$
230532	Expand the Logarithmic Expression	log base 4 of (64x^3)/(y^4z^6)	$\log_{4} (\frac{64 x^{3}}{y^{4} z^{6}})$
230533	Determine if a Polynomial	(5x^4+13x^2-x+10)-(-6x^4+9x^3+7)	$(5 x^{4} + 13 x^{2} - x + 10) - (- 6 x^{4} + 9 x^{3} + 7)$
230534	Simplify	((12a^-3b^8c^-4)/(3a^7b^-3c^7))^-2	${(\frac{12 a^{- 3} b^{8} c^{- 4}}{3 a^{7} b^{- 3} c^{7}})}^{- 2}$
230535	Simplify	Simplify square root of 24	Simplify $\sqrt{24}$
230536	Solve for x	2(x-3)>=-3(-3+x)	$2 (x - 3) \geq - 3 (- 3 + x)$
230537	Solve for x	-5(4x-5)=21(7-x)	$- 5 (4 x - 5) = 21 (7 - x)$
230538	Combine Like Terms	1+2x-3x-4	$1 + 2 x - 3 x - 4$
230539	Solve the Inequality for x	5 square root of x-3-2<=13	$5 \sqrt{x - 3} - 2 \leq 13$
230540	Evaluate	2/(x-2)+x/(x+9)-(x+20)/(x^2+7x-18)	$\frac{2}{x - 2} + \frac{x}{x + 9} - \frac{x + 20}{x^{2} + 7 x - 18}$
230541	Simplify	(3x^3)/((6x^4)(4x^5))	$\frac{3 x^{3}}{(6 x^{4}) (4 x^{5})}$
230542	Solve for x	x+15=8 square root of x	$x + 15 = 8 \sqrt{x}$
230543	Graph	f(x)=x^2-4x^2	$f (x) = x^{2} - 4 x^{2}$
230544	Solve for y	15(y-4)-2(y-9)+5(y+6)=0	$15 (y - 4) - 2 (y - 9) + 5 (y + 6) = 0$
230545	Simplify	1/2x+(x-7)/2	$\frac{1}{2} x + \frac{x - 7}{2}$
230546	Solve for w	(w+3)/4=w/2	$\frac{w + 3}{4} = \frac{w}{2}$
230547	Evaluate	(2pi)/(\|3\|)	$\frac{2 π}{\| 3 \|}$
230548	Solve for x	x+ax=b	$x + a x = b$
230549	Simplify	(1+5^2)-16(1/2)^3	$(1 + 5^{2}) - 16 {(\frac{1}{2})}^{3}$
230550	Graph	x-y<1 x-7y>49	$x - y < 1$ $x - 7 y > 49$
230551	Multiply	((x+1)-y)^2	${((x + 1) - y)}^{2}$
230552	Simplify	(36a^2a^-3b^6)/(4a^6b^-6)	$\frac{36 a^{2} a^{- 3} b^{6}}{4 a^{6} b^{- 6}}$
230553	Simplify	2y+9/(y+3)-9/(3-y)	$2 y + \frac{9}{y + 3} - \frac{9}{3 - y}$
230554	Evaluate	-(7-4x)=9	$- (7 - 4 x) = 9$
230555	Solve for x	3 square root of 2x+5-15=0	$3 \sqrt{2 x + 5} - 15 = 0$
230556	Solve for x	3-5(x+4)=8(2x-3)	$3 - 5 (x + 4) = 8 (2 x - 3)$
230557	Simplify	(x+1)/(x^2-3x-4)+(x-3)/(x-2)	$\frac{x + 1}{x^{2} - 3 x - 4} + \frac{x - 3}{x - 2}$
230558	Solve the Inequality for x	x-6 1/2>-4	$x - 6 \frac{1}{2} > - 4$
230559	Simplify	(4+- square root of -16)/4	$\frac{4 + - \sqrt{- 16}}{4}$
230560	Simplify	square root of x(x+1)	$\sqrt{x} (x + 1)$
230561	Write in Standard Form	(x^2)/2	$\frac{x^{2}}{2}$
230562	Solve by Factoring	5x^(5/2)-10x^(3/2)=120x^(1/2)	$5 x^{\frac{5}{2}} - 10 x^{\frac{3}{2}} = 120 x^{\frac{1}{2}}$
230563	Simplify the Radical Expression	square root of cube root of 64a^4	$\sqrt{\sqrt[3]{64 a^{4}}}$
230564	Evaluate	(5^6)/((5^0)^-4)	$\frac{5^{6}}{{(5^{0})}^{- 4}}$
230565	Evaluate	(-x^5y^5-1/4x^3y^2+2/3x^5y-6xy^3)÷(-3x^2y^3)	$(- x^{5} y^{5} - \frac{1}{4} x^{3} y^{2} + \frac{2}{3} x^{5} y - 6 x y^{3}) \div (- 3 x^{2} y^{3})$
230566	Solve for x	x^2+3x+8=6x-7	$x^{2} + 3 x + 8 = 6 x - 7$
230567	Divide	2/(-1/2)	$\frac{2}{- \frac{1}{2}}$
230568	Solve the Inequality for x	-2(x+2)<x+8	$- 2 (x + 2) < x + 8$
230569	Solve the Inequality for y	-3(y-1)<=21	$- 3 (y - 1) \leq 21$
230570	Solve the Inequality for x	square root of 2x+5- square root of 9+x>0	$\sqrt{2 x + 5} - \sqrt{9 + x} > 0$
230571	Evaluate	7-2/3x<x-8	$7 - \frac{2}{3} x < x - 8$
230572	Solve for a	a+b+c=P	$a + b + c = P$
230573	Find the x and y Intercepts	C(t)=2(t-4)(t+1)(t-6)	$C (t) = 2 (t - 4) (t + 1) (t - 6)$
230574	Write in Standard Form	3b^2-2b+b^2	$3 b^{2} - 2 b + b^{2}$
230575	Solve for j	fourth root of j=4	$\sqrt[4]{j} = 4$
230576	Solve the Rational Equation for x	square root of 5x+1-6=0	$\sqrt{5 x + 1} - 6 = 0$
230577	Graph	x=-2 3x-2y=-18	$x = - 2$ $3 x - 2 y = - 18$
230578	Solve for x	(6^x)^10=((6^12)^2)/(6^4)	${(6^{x})}^{10} = \frac{{(6^{12})}^{2}}{6^{4}}$
230579	Find the Magnitude	(-2,2)	$(- 2, 2)$
230580	Graph	f(x)=((x-5)(x+4))/(x-5)	$f (x) = \frac{(x - 5) (x + 4)}{x - 5}$
230581	Solve the System of Equations	x+y-z=-2 -3x+9y-5z=6 x+9y-7z=-8	$x + y - z = - 2$ $- 3 x + 9 y - 5 z = 6$ $x + 9 y - 7 z = - 8$
230582	Convert to a Percentage	15 is what percent of 25	$15$ is what percent of $25$
230583	Subtract	7/x-(5x+7)/(x-9)	$\frac{7}{x} - \frac{5 x + 7}{x - 9}$
230584	Solve the Rational Equation for x	square root of x+10-7=-5	$\sqrt{x + 10 - 7} = - 5$
230585	Solve the Inequality for x	2^x>0	$2^{x} > 0$
230586	Solve by Substitution	4x+3y=8 and x-2y=-13	$4 x + 3 y = 8$ and $x - 2 y = - 13$
230587	Evaluate	f(t)=4(1.25)^(t+3)	$f (t) = 4 {(1.25)}^{t + 3}$
230588	Graph	sin(1x)^(-)+cos(1x)^(-)	${\sin (1 x)}^{-} + {\cos (1 x)}^{-}$
230589	Solve the Inequality for z	z/4+22<=38	$\frac{z}{4} + 22 \leq 38$
230590	Simplify	3x^-2y^(1/2) cube root of 8x^4y	$3 x^{- 2} y^{\frac{1}{2}} \sqrt[3]{8 x^{4} y}$
230591	Simplify	(2x^2-3x-5)/(25-4x^2)	$\frac{2 x^{2} - 3 x - 5}{25 - 4 x^{2}}$
230592	Simplify	(2e^-2)^-4	${(2 e^{- 2})}^{- 4}$
230593	Multiply	(2x^2-11x-21)/(5x^2+16x+3)*(5x+1)/(5x-35)	$\frac{2 x^{2} - 11 x - 21}{5 x^{2} + 16 x + 3} \cdot \frac{5 x + 1}{5 x - 35}$
230594	Solve the System of Equations	x-2y+2z=4 2y-4z=8 -x+4z=2	$x - 2 y + 2 z = 4$ $2 y - 4 z = 8$ $- x + 4 z = 2$
230595	Simplify	(4x^-2)^(-1/2)	${(4 x^{- 2})}^{- \frac{1}{2}}$
230596	Simplify	(5x-y^2)(25x^2+5xy^2+y^4)	$(5 x - y^{2}) (25 x^{2} + 5 x y^{2} + y^{4})$
230597	Solve the System of Equations	x+2y=-8 y=-3/2x-6	$x + 2 y = - 8$ $y = - \frac{3}{2} x - 6$
230598	Simplify	x/(2x+3)-(2x+1)/(2x-3)	$\frac{x}{2 x + 3} - \frac{2 x + 1}{2 x - 3}$
230599	Find the Exact Value	cos(x)+sin(x)tan(x)	$\cos (x) + \sin (x) \tan (x)$
230600	Evaluate the Function	f(2)=3x^4+x^3-2x^2+x+12	$f (2) = 3 x^{4} + x^{3} - 2 x^{2} + x + 12$