Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5701	Find the Antiderivative	- square root of x	$- \sqrt{x}$
5702	Solve for x	4(-5-2x)-3x=-5(2x+6)	$4 (- 5 - 2 x) - 3 x = - 5 (2 x + 6)$
5703	Solve for x	square root of x^2 = square root of 36	$\sqrt{x^{2}} = \sqrt{36}$
5704	Find the x and y Intercepts	(3x^2-6x-24)/(2x^2-8)	$\frac{3 x^{2} - 6 x - 24}{2 x^{2} - 8}$
5705	Find the Derivative - d/dx	y=-tan(10x^2)	$y = - \tan (10 x^{2})$
5706	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-6x^3-8x^2+8x-10x^4	$f (x) = - 6 x^{3} - 8 x^{2} + 8 x - 10 x^{4}$
5707	Simplify	((-2)^85^3)/(5^42^10*10)	$\frac{{(- 2)}^{8} \cdot 5^{3}}{5^{4} \cdot 2^{10} \cdot 10}$
5708	Simplify	15 root of (x^3)/(x^-2)	$\sqrt[15]{\frac{x^{3}}{x^{- 2}}}$
5709	Simplify	(3x^-4)/(y^-2)	$\frac{3 x^{- 4}}{y^{- 2}}$
5710	Solve for x	x=3/x+2	$x = \frac{3}{x} + 2$
5711	Find the Inverse	f(x)=1-2^x	$f (x) = 1 - 2^{x}$
5712	Find the Derivative Using Product Rule - d/dx	y=x^2(x-1)	$y = x^{2} (x - 1)$
5713	Simplify	( fourth root of 48a^10)/( fourth root of 3a^2)	$\frac{\sqrt[4]{48 a^{10}}}{\sqrt[4]{3 a^{2}}}$
5714	Solve the Absolute Value Inequality for x	\|2x+5\|+4>1	$\| 2 x + 5 \| + 4 > 1$
5715	Solve for p	square root of p-4=-5	$\sqrt{p - 4} = - 5$
5716	Write the Fraction in Simplest Form	(x^2y^8)^(2/3)	${(x^{2} y^{8})}^{\frac{2}{3}}$
5717	Find dy/dx	3x^2y^3-x+y=25	$3 x^{2} y^{3} - x + y = 25$
5718	Simplify	(4r-s)-(r+2s)+(3r-s)	$(4 r - s) - (r + 2 s) + (3 r - s)$
5719	Solve the Function Operation	10^-4=1/(10,0)	$10^{- 4} = \frac{1}{10, 0}$
5720	Simplify	2j(7j^2k^2+jk^2+5k)-9k(-2j^2k^2+2k^2+3j)	$2 j (7 j^{2} k^{2} + j k^{2} + 5 k) - 9 k (- 2 j^{2} k^{2} + 2 k^{2} + 3 j)$
5721	Find the Domain and Range	f(x)=3cot(4x)+2	$f (x) = 3 \cot (4 x) + 2$
5722	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-6x^6-6+4x^3+10x	$f (x) = - 6 x^{6} - 6 + 4 x^{3} + 10 x$
5723	Simplify the Radical Expression	x^3 square root of x^7	$x^{3} \sqrt{x^{7}}$
5724	Find the Domain	f(x)=( natural log of 3-x)/( square root of x^2-1)	$f (x) = \frac{\ln (3 - x)}{\sqrt{x^{2} - 1}}$
5725	Simplify the Radical Expression	square root of 20+ square root of 45	$\sqrt{20} + \sqrt{45}$
5726	Find the Third Derivative	18x^3-12x	$18 x^{3} - 12 x$
5727	Solve for s	square root of 3s+10=s	$\sqrt{3 s + 10} = s$
5728	Solve for x	(2x+4)/(x^2+4x+3)=1/(x+1)+1/(x+3)	$\frac{2 x + 4}{x^{2} + 4 x + 3} = \frac{1}{x + 1} + \frac{1}{x + 3}$
5729	Evaluate	( cube root of 256)^4	${(\sqrt[3]{256})}^{4}$
5730	Factor by Grouping	(b-c)^3+(c-a)^3+(a-b)^3	${(b - c)}^{3} + {(c - a)}^{3} + {(a - b)}^{3}$
5731	Simplify	((10^4)/(10^-5))^0	${(\frac{10^{4}}{10^{- 5}})}^{0}$
5732	Simplify	a(a^2+a-1)	$a (a^{2} + a - 1)$
5733	Simplify the Radical Expression	( square root of 2+ square root of 3)( square root of 2- square root of 3)	$(\sqrt{2} + \sqrt{3}) (\sqrt{2} - \sqrt{3})$
5734	Solve for x	2 square root of x-1 = square root of 32	$2 \sqrt{x - 1} = \sqrt{32}$
5735	Find the Domain	F(x)=(x-4)/( square root of 2-x)	$F (x) = \frac{x - 4}{\sqrt{2 - x}}$
5736	Solve for x	(16x)/(x+6)=(x^2)/(x+6)+5	$\frac{16 x}{x + 6} = \frac{x^{2}}{x + 6} + 5$
5737	Simplify	(7a^3b^-1)^0	${(7 a^{3} b^{- 1})}^{0}$
5738	Graph	8x+2>=26 or 4x-6<=-26	$8 x + 2 \geq 26$ or $4 x - 6 \leq - 26$
5739	Solve the Inequality for y	x+2y<=6	$x + 2 y \leq 6$
5740	Simplify	( square root of (2x)^2)/( square root of (5y)^4)	$\frac{\sqrt{{(2 x)}^{2}}}{\sqrt{{(5 y)}^{4}}}$
5741	Evaluate the Limit	limit as x approaches -1/6 of (x+6x^2)/(x^2-1/36)	$lim_{x \to - \frac{1}{6}} \frac{x + 6 x^{2}}{x^{2} - \frac{1}{36}}$
5742	Simplify	Subtract -2w from -6w	Subtract $- 2 w$ from $- 6 w$
5743	Expand Using Sum/Difference Formulas	3(x+4)	$3 (x + 4)$
5744	Simplify	( fourth root of 81)/( cube root of x^2)	$\frac{\sqrt[4]{81}}{\sqrt[3]{x^{2}}}$
5745	Add	(7x^2y^2+12xy^2-3x^2y+11)+(4xy-13x^2y+7)	$(7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11) + (4 x y - 13 x^{2} y + 7)$
5746	Graph	f(x)=6x-x^3-x^5	$f (x) = 6 x - x^{3} - x^{5}$
5747	Simplify	(2x+bx-2y-by)/(7x-7y)	$\frac{2 x + b x - 2 y - b y}{7 x - 7 y}$
5748	Simplify the Radical Expression	- square root of 45+2 square root of 5- square root of 20-2 square root of 6	$- \sqrt{45} + 2 \sqrt{5} - \sqrt{20} - 2 \sqrt{6}$
5749	Simplify	2*2^-4	$2 \cdot 2^{- 4}$
5750	Evaluate Using L'Hospital's Rule	limit as x approaches pi/2 of (3cos(x))/(2x-pi)	$lim_{x \to \frac{π}{2}} \frac{3 \cos (x)}{2 x - π}$
5751	Solve the System of Equations	y=-3/5x-1 y=-4/5x	$y = - \frac{3}{5} x - 1$ $y = - \frac{4}{5} x$
5752	Graph	y>=2x+1 and y<-x+1	$y \geq 2 x + 1$ and $y < - x + 1$
5753	Solve for Y	x+6Y=27	$x + 6 Y = 27$
5754	Solve for x	x/2-(x-35)/5=4	$\frac{x}{2} - \frac{x - 35}{5} = 4$
5755	Simplify	-2r^2s-8rs+3r^2s^2-5rs+10r^2s	$- 2 r^{2} s - 8 r s + 3 r^{2} s^{2} - 5 r s + 10 r^{2} s$
5756	Multiply	3x fourth root of 8x^2y^2*5y fourth root of 8x^2y^4	$3 x \sqrt[4]{8 x^{2} y^{2}} \cdot 5 y \sqrt[4]{8 x^{2} y^{4}}$
5757	Simplify	5 square root of 2- fourth root of 64+2 square root of 32	$5 \sqrt{2} - \sqrt[4]{64} + 2 \sqrt{32}$
5758	Simplify	3 cube root of 16-2 cube root of 54	$3 \sqrt[3]{16} - 2 \sqrt[3]{54}$
5759	Multiply	4/5212/514/50	$\frac{4}{52} \cdot \frac{12}{51} \cdot \frac{4}{50}$
5760	Solve the Inequality for x	-4<(2x-3)/3<4	$- 4 < \frac{2 x - 3}{3} < 4$
5761	Solve for c	9c(c-11)+10(5c-3)=3c(c+5)+c(6c-3)-30	$9 c (c - 11) + 10 (5 c - 3) = 3 c (c + 5) + c (6 c - 3) - 30$
5762	Graph	y=0^x	$y = 0^{x}$
5763	Simplify	(-25x^4y^3+30x^2y^5)/(-5x^2y)	$\frac{- 25 x^{4} y^{3} + 30 x^{2} y^{5}}{- 5 x^{2} y}$
5764	Solve the Rational Equation for x	square root of x=6	$\sqrt{x} = 6$
5765	Graph	F(x)=3 cube root of x	$F (x) = 3 \sqrt[3]{x}$
5766	Find the Antiderivative	(e^x)/(2^x)	$\frac{e^{x}}{2^{x}}$
5767	Evaluate	f(3)=1/3(6)^3	$f (3) = \frac{1}{3} {(6)}^{3}$
5768	Simplify	(27x^-2y^6)/(3x^5y^2z^0)	$\frac{27 x^{- 2} y^{6}}{3 x^{5} y^{2} z^{0}}$
5769	Add	Find the sum of -6x^2-1 and x+9	Find the sum of $- 6 x^{2} - 1$ and $x + 9$
5770	Solve for x	(1/5)^(-2x^2-4)=125^(10x-32)	${(\frac{1}{5})}^{- 2 x^{2} - 4} = 125^{10 x - 32}$
5771	Evaluate	4x-6+x+3	$4 x - 6 + x + 3$
5772	Simplify	fifth root of 7* fifth root of 7^6	$\sqrt[5]{7} \cdot \sqrt[5]{7^{6}}$
5773	Solve for x	-2sin(x)^2+cos(x)+1=0	$- 2 \sin^{2} (x) + \cos (x) + 1 = 0$
5774	Add	square root of 2+ square root of 12	$\sqrt{2} + \sqrt{12}$
5775	Find the Reference Angle	tan(405 degrees )	$\tan (405 °)$
5776	Simplify	1/2 square root of 2+1/3 square root of 2	$\frac{1}{2} \sqrt{2} + \frac{1}{3} \sqrt{2}$
5777	Evaluate the Integral	integral of 1/(x^3-2x^2+x) with respect to xdx	$\int \frac{1}{x^{3} - 2 x^{2} + x} d x d x$
5778	Divide Using Long Polynomial Division	(5x^3+x^2+x-13)÷(x^2-1)	$(5 x^{3} + x^{2} + x - 13) \div (x^{2} - 1)$
5779	Simplify	(2x)/(x+5)-(2x^2-3)/(x^2+5x)	$\frac{2 x}{x + 5} - \frac{2 x^{2} - 3}{x^{2} + 5 x}$
5780	Solve the Inequality for x	-1/2<=(4-3x)/5<=1/4	$- \frac{1}{2} \leq \frac{4 - 3 x}{5} \leq \frac{1}{4}$
5781	Solve the Inequality for x	3x-7x+2<10-12	$3 x - 7 x + 2 < 10 - 12$
5782	Solve for x	64^(12x+81)=8^(3x^2+15x)	$64^{12 x + 81} = 8^{3 x^{2} + 15 x}$
5783	Solve the System of Equations	11+y=-5x 3y=47+5x	$11 + y = - 5 x$ $3 y = 47 + 5 x$
5784	Solve for x	natural log of -2x+5+ natural log of x+4=k	$\ln (- 2 x + 5) + \ln (x + 4) = k$
5785	Find the Domain	f(x)=4^((x+1)/(x-2))	$f (x) = 4^{\frac{x + 1}{x - 2}}$
5786	Solve the System of Equations	y=x+3 y=2/5x	$y = x + 3$ $y = \frac{2}{5} x$
5787	Write as a Single Logarithm	1/3( natural log of 64- natural log of 8x^3)	$\frac{1}{3} (\ln (64) - \ln (8 x^{3}))$
5788	Rationalize the Denominator	4/( square root of 54)	$\frac{4}{\sqrt{54}}$
5789	Simplify	30 root of 32d^20n^15p^25	$\sqrt[30]{32 d^{20} n^{15} p^{25}}$
5790	Simplify	square root of 5/(3b)	$\sqrt[2]{\frac{5}{3 b}}$
5791	Convert to a Decimal	4.80 for 6 cans	$4.8$ for $6$ cans
5792	Solve for w	18w+13=19w-7+6	$18 w + 13 = 19 w - 7 + 6$
5793	Solve for x	1/(\|2x-3\|)>2	$\frac{1}{\| 2 x - 3 \|} > 2$
5794	Find the Average Rate of Change	S(t)=t^2+3t-6 , t=0 , t=2	$S (t) = t^{2} + 3 t - 6$ , $t = 0$ , $t = 2$
5795	Evaluate	(2/6*1 4/10)÷1 3/5	$(\frac{2}{6} \cdot 1 \frac{4}{10}) \div 1 \frac{3}{5}$
5796	Simplify the Radical Expression	(2x^(3/2))/((16x^4)^(1/4))	$\frac{2 x^{\frac{3}{2}}}{{(16 x^{4})}^{\frac{1}{4}}}$
5797	Simplify	((x^-11)(x^6))/(y^-2)	$\frac{(x^{- 11}) (x^{6})}{y^{- 2}}$
5798	Factor	x^2-4x+4+5x^6-10x^5	$x^{2} - 4 x + 4 + 5 x^{6} - 10 x^{5}$
5799	Simplify	(2x^4y^-4)(3x^2y^4)	$(2 x^{4} y^{- 4}) (3 x^{2} y^{4})$
5800	Simplify	(x+y)(x-y)-(x-1)(x-2)	$(x + y) (x - y) - (x - 1) (x - 2)$