Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
4701	Simplify	((2^7)/2)^-4	${(\frac{2^{7}}{2})}^{- 4}$
4702	Find the Inflection Points	f(x)=-3/20x^5+11x^3	$f (x) = - \frac{3}{20} x^{5} + 11 x^{3}$
4703	Verify the Identity	square root of x^2=x	$\sqrt{x^{2}} = x$
4704	Simplify	(x^10)^(1/5)+(x^4)^(1/2)	${(x^{10})}^{\frac{1}{5}} + {(x^{4})}^{\frac{1}{2}}$
4705	Solve for x	4x^3=324	$4 x^{3} = 324$
4706	Solve for v	3(3+3v)=-2(9-3v)	$3 (3 + 3 v) = - 2 (9 - 3 v)$
4707	Solve for x	8(2^x)=7^(5-3x)	$8 (2^{x}) = 7^{5 - 3 x}$
4708	Simplify	(6^(2/3))^(3/4)	${(6^{\frac{2}{3}})}^{\frac{3}{4}}$
4709	Simplify	square root of 0.32*(2 square root of 800-3 square root of 1800)	$\sqrt{0.32} \cdot (2 \sqrt{800} - 3 \sqrt{1800})$
4710	Find the Antiderivative	(sin(x))/(12+cos(x))	$\frac{\sin (x)}{12 + \cos (x)}$
4711	Convert from Radians to Degrees	7rad	$7$ radians
4712	Evaluate the Function	g(-1)=x/( square root of 1-x^2)	$g (- 1) = \frac{x}{\sqrt{1 - x^{2}}}$
4713	Find the Trig Value	cos(theta)=-3/5 ; and pi/2<theta<pi	$\cos (θ) = - \frac{3}{5}$ ; and $\frac{π}{2} < θ < π$
4714	Convert from Radians to Degrees	(29pi)/6rad	$\frac{29 π}{6}$ rad
4715	Simplify	(10a^4b^6)(3a^5b^2)-7a^9b^8	$(10 a^{4} b^{6}) (3 a^{5} b^{2}) - 7 a^{9} b^{8}$
4716	Simplify	sec(pi/2-x)^2(sin(x)^2-sin(x)^4)	$\sec^{2} (\frac{π}{2} - x) (\sin^{2} (x) - \sin^{4} (x))$
4717	Simplify	(a+2b+3c)-(4a+6b-5c)	$(a + 2 b + 3 c) - (4 a + 6 b - 5 c)$
4718	Simplify	(x^3+2x^2-4)+(3x^2+6)	$(x^{3} + 2 x^{2} - 4) + (3 x^{2} + 6)$
4719	Simplify the Radical Expression	(3 square root of 2)^2	${(3 \sqrt{2})}^{2}$
4720	Simplify	(-12x^5y^-2)/(8x^-3y)	$\frac{- 12 x^{5} y^{- 2}}{8 x^{- 3} y}$
4721	Solve the System of Equations	2x+y=4 -4x-2y=-8	$2 x + y = 4$ $- 4 x - 2 y = - 8$
4722	Solve the Inequality for P	2P-3>P+6	$2 P - 3 > P + 6$
4723	Solve for x	x3/2=64	$x \frac{3}{2} = 64$
4724	Evaluate	x/3-1/4=1/3-x/4	$\frac{x}{3} - \frac{1}{4} = \frac{1}{3} - \frac{x}{4}$
4725	Find the x and y Intercepts	f(x)=-4 square root of x+5+6	$f (x) = - 4 \sqrt{x + 5} + 6$
4726	Expand Using the Binomial Theorem	(3-1/2)^4	${(3 - \frac{1}{2})}^{4}$
4727	Find the Center and Radius	(x-2)^2+y^2-25=0	${(x - 2)}^{2} + y^{2} - 25 = 0$
4728	Find the Roots (Zeros)	square root of 4x+5- square root of x-1 = square root of x+4	$\sqrt{4 x + 5} - \sqrt{x - 1} = \sqrt{x + 4}$
4729	Simplify the Radical Expression	2 cube root of 16+5 cube root of 54- cube root of 250+1/2 cube root of 128	$2 \sqrt[3]{16} + 5 \sqrt[3]{54} - \sqrt[3]{250} + \frac{1}{2} \sqrt[3]{128}$
4730	Simplify	((3x+6y)/(x^2-y^2))÷((5x+10y)/(x^2-2xy+y^2))	$\frac{3 x + 6 y}{x^{2} - y^{2}} \div \frac{5 x + 10 y}{x^{2} - 2 x y + y^{2}}$
4731	Solve for d	square root of 2d-1=5	$\sqrt{2 d - 1} = 5$
4732	Simplify	(-2a^2b)*(7a^3b)	$(- 2 a^{2} b) \cdot (7 a^{3} b)$
4733	Factor	-5(2x-6)+25x	$- 5 (2 x - 6) + 25 x$
4734	Evaluate the Limit	limit as x approaches infinity of ((2x+1)(4x-1)^2)/((2x+3)^3)	$lim_{x \to \infty} \frac{(2 x + 1) {(4 x - 1)}^{2}}{{(2 x + 3)}^{3}}$
4735	Divide Using Long Polynomial Division	(2x^4+6x-5)÷(x^2+4)	$(2 x^{4} + 6 x - 5) \div (x^{2} + 4)$
4736	Find the Antiderivative	log of x	$\log (x)$
4737	Solve for x	y+17=3(x+6)-14	$y + 17 = 3 (x + 6) - 14$
4738	Solve for x	10-2x+9x=8+7x+1	$10 - 2 x + 9 x = 8 + 7 x + 1$
4739	Simplify	((m^2+m-mn-n)/(m^2+m+mn+n))÷((m^2-m-mn+n)/(m^2-m+mn-n))	$\frac{m^{2} + m - m n - n}{m^{2} + m + m n + n} \div \frac{m^{2} - m - m n + n}{m^{2} - m + m n - n}$
4740	Simplify	(6*6^-6)^5	${(6 \cdot 6^{- 6})}^{5}$
4741	Write in Standard Form	x^2-3+2x^5+7x^4-12x	$x^{2} - 3 + 2 x^{5} + 7 x^{4} - 12 x$
4742	Simplify	( square root of 6)÷( square root of 2)	$\sqrt{6} \div \sqrt{2}$
4743	Solve for x	7^(x+1)=3^(2x+2)	$7^{x + 1} = 3^{2 x + 2}$
4744	Find the Domain	((y+3)/(y+1))÷((y^2+4y+3)/(-5-5y))	$\frac{y + 3}{y + 1} \div \frac{y^{2} + 4 y + 3}{- 5 - 5 y}$
4745	Factor	A(x)=660x^2+524x+85	$A (x) = 660 x^{2} + 524 x + 85$
4746	Evaluate	(5 1/3-4 1/3)÷(4-3 1/2)	$(5 \frac{1}{3} - 4 \frac{1}{3}) \div (4 - 3 \frac{1}{2})$
4747	Simplify	1+cot(x)^2-cos(x)^2-cos(x)^2cot(x)^2	$1 + \cot^{2} (x) - \cos^{2} (x) - \cos^{2} (x) \cot^{2} (x)$
4748	Solve for x	-3/(x-1)+5/(x-3)=-1/(x^2-4x+3)	$- \frac{3}{x - 1} + \frac{5}{x - 3} = - \frac{1}{x^{2} - 4 x + 3}$
4749	Simplify	(7x^6+2x^5-3x^2+9x)+(5x^5+8x^3-6x^2+2x-5)	$(7 x^{6} + 2 x^{5} - 3 x^{2} + 9 x) + (5 x^{5} + 8 x^{3} - 6 x^{2} + 2 x - 5)$
4750	Solve by Substitution	y=2x-11 -3y=-6x-15	$y = 2 x - 11$ $- 3 y = - 6 x - 15$
4751	Evaluate Using the Given Value	1/2a^-4b^2 for a=-2 and b=4	$\frac{1}{2} a^{- 4} b^{2}$ for $a = - 2$ and $b = 4$
4752	Solve the Inequality for x	\|(x^2-1)/2\|>=1	$\| \frac{x^{2} - 1}{2} \| \geq 1$
4753	Solve for f	-12f+18=-8f+9+9	$- 12 f + 18 = - 8 f + 9 + 9$
4754	Solve for n	t(n)=5n-3	$t (n) = 5 n - 3$
4755	Solve for x	4^(3x+1)=4^2	$4^{3 x + 1} = 4^{2}$
4756	Simplify	((6ab^0)/(2a^4b))^3	${(\frac{6 a b^{0}}{2 a^{4} b})}^{3}$
4757	Simplify	square root of -18/36	$\sqrt{\frac{- 18}{36}}$
4758	Simplify the Radical Expression	(6^(1/2)*4^(1/3))^2	${(6^{\frac{1}{2}} \cdot 4^{\frac{1}{3}})}^{2}$
4759	Solve the Inequality for t	-4<3t+5<=20	$- 4 < 3 t + 5 \leq 20$
4760	Solve for v	32 = cube root of (3v)/(4pi)	$32 = \sqrt[3]{\frac{3 v}{4 π}}$
4761	Simplify	(5a^2+5-a)+(6-2a+4a^4)	$(5 a^{2} + 5 - a) + (6 - 2 a + 4 a^{4})$
4762	Simplify	a(a^2b+b^3c)	$a (a^{2} b + b^{3} c)$
4763	Find the Roots (Zeros)	y=2sin(x)	$y = 2 \sin (x)$
4764	Solve for θ	tan(theta)=cot(theta)	$\tan (θ) = \cot (θ)$
4765	Solve for x	1 2/7+2 1/3x+3/14+x=9	$1 \frac{2}{7} + 2 \frac{1}{3} x + \frac{3}{14} + x = 9$
4766	Evaluate the Limit	limit as x approaches 0 of (sin(2x))/x-cos(5x)	$lim_{x \to 0} \frac{\sin (2 x)}{x} - \cos (5 x)$
4767	Evaluate	square root of 2x-3=x-3	$\sqrt{2 x - 3} = x - 3$
4768	Evaluate the Limit	limit as x approaches 2 from the right of x^3-2x^2-3	$lim_{x \to 2^{+}} x^{3} - 2 x^{2} - 3$
4769	Evaluate the Limit	limit as x approaches infinity of ( square root of 4x^2+1)/(x-2)	$lim_{x \to \infty} \frac{\sqrt{4 x^{2} + 1}}{x - 2}$
4770	Simplify	3/(a+b)-5/(a+b)	$\frac{3}{(a + b)} - \frac{5}{(a + b)}$
4771	Multiply	square root of 4* square root of 6	$\sqrt{4} \cdot \sqrt{6}$
4772	Write in Slope-Intercept Form	x+y<3	$x + y < 3$
4773	Simplify	5 cube root of -3w^2*2 cube root of 36w^3	$5 \sqrt[3]{- 3 w^{2}} \cdot 2 \sqrt[3]{36 w^{3}}$
4774	Find the Area	trapezoid (1)(1)(7)	 $\begin{array}{r} b_{1} = & 1 \\ b_{2} = & 1 \\ h = & 7 \end{array}$
4775	Simplify	(7 square root of 6)/( square root of 14)	$\frac{7 \sqrt{6}}{\sqrt{14}}$
4776	Find the Derivative - d/dx	(1- natural log of x)/(x^2)	$\frac{1 - \ln (x)}{x^{2}}$
4777	Solve for z	10z+90+45=180	$10 z + 90 + 45 = 180$
4778	Solve the System of Equations	2.4(x+4y)=-4.8 2.4x-9y=-14.1	$2.4 (x + 4 y) = - 4.8$ $2.4 x - 9 y = - 14.1$
4779	Simplify	square root of 20e^(8x)	$\sqrt{20 e^{8 x}}$
4780	Evaluate	3(2+5x)	$3 (2 + 5 x)$
4781	Find the Second Derivative	f(x)=e^x+100e+8x^4+49	$f (x) = e^{x} + 100 e + 8 x^{4} + 49$
4782	Simplify	square root of ((a+b)^2-(a-b)^2)^2+a^4-12a^2b^2+4b^4	$\sqrt{{({(a + b)}^{2} - {(a - b)}^{2})}^{2} + a^{4} - 12 a^{2} b^{2} + 4 b^{4}}$
4783	Solve the Inequality for x	by-d<=ax+c	$b y - d \leq a x + c$
4784	Find dy/dx	y=(x^2+5)(3x+1)	$y = (x^{2} + 5) (3 x + 1)$
4785	Simplify	x/(x^2-1)-(x+3)/(x^2-x-2)	$\frac{x}{x^{2} - 1} - \frac{x + 3}{x^{2} - x - 2}$
4786	Solve the System of Inequalities	x-y<6 2x+y<6	$x - y < 6$ $2 x + y < 6$
4787	Simplify	(13x^3)/(x^3-2)-26/(x^3-2)	$\frac{13 x^{3}}{x^{3} - 2} - \frac{26}{x^{3} - 2}$
4788	Find the Degree	x^2+y^2+z^2	$x^{2} + y^{2} + z^{2}$
4789	Simplify	10 root of 0x	$\sqrt[10]{0 x}$
4790	Solve for y	3x-y=-2y	$3 x - y = - 2 y$
4791	Evaluate	(2cd^4)^2(cd)^5	${(2 c d^{4})}^{2} {(c d)}^{5}$
4792	Find the Product	(4x^2-8x-2)(x^4+3x^2+4x)	$(4 x^{2} - 8 x - 2) (x^{4} + 3 x^{2} + 4 x)$
4793	Simplify	fourth root of 5^3* sixth root of 5	$\sqrt[4]{5^{3}} \cdot \sqrt[6]{5}$
4794	Simplify	1/(12a-3)-(16a^2)/(12a-3)	$\frac{1}{12 a - 3} - \frac{16 a^{2}}{12 a - 3}$
4795	Simplify the Radical Expression	( square root of 3+ square root of 2)^2	${(\sqrt{3} + \sqrt{2})}^{2}$
4796	Rationalize the Denominator	( square root of 5x^4y)/( square root of 2x^2y^3)	$\frac{\sqrt{5 x^{4} y}}{\sqrt{2 x^{2} y^{3}}}$
4797	Graph	f(x)=-2*2^(1/3x)+3	$f (x) = - 2 \cdot 2^{\frac{1}{3} x} + 3$
4798	Simplify	9/(x^2-12x+36)+x/(x^2-36)	$\frac{9}{x^{2} - 12 x + 36} + \frac{x}{x^{2} - 36}$
4799	Find the Roots (Zeros)	x^6-1=0	$x^{6} - 1 = 0$
4800	Simplify	(x^2y^(1/2))^4	${(x^{2} y^{\frac{1}{2}})}^{4}$