Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
7601	Convert from Degrees to Radians	195deg	$195$ degrees
7602	Find the Roots (Zeros)	x^2+30=-9x	$x^{2} + 30 = - 9 x$
7603	Simplify	( square root of 3+ square root of 7)( square root of 3* square root of 7)	$(\sqrt{3} + \sqrt{7}) (\sqrt{3} \cdot \sqrt{7})$
7604	Simplify	3x(x+2(x+4))	$3 x (x + 2 (x + 4))$
7605	Solve for x	square root of x^2 = square root of 144	$\sqrt{x^{2}} = \sqrt{144}$
7606	Solve the Function Operation	f(x)=3x+10 g(x)=x-2 Find g(f(-10))	$f (x) = 3 x + 10$ $g (x) = x - 2$ Find $g (f (- 10))$
7607	Simplify	(sin(u)*cos(u)^2+sin(u)^3)/(sin(u)^2)	$\frac{\sin (u) \cdot \cos^{2} (u) + \sin^{3} (u)}{\sin^{2} (u)}$
7608	Determine if Odd, Even, or Neither	-2/3x^3	$- \frac{2}{3} x^{3}$
7609	Simplify	(x^3)/(x^2+1)+x/(x^2+1)	$\frac{x^{3}}{x^{2} + 1} + \frac{x}{x^{2} + 1}$
7610	Evaluate the Limit	limit as x approaches infinity of (2-15e^(-5x))/(1/x+4cos(5/x))	$lim_{x \to \infty} \frac{2 - 15 e^{- 5 x}}{\frac{1}{x} + 4 \cos (\frac{5}{x})}$
7611	Find the Domain and Range	f(x)=4 log base 1/3 of x+2	$f (x) = 4 \log_{\frac{1}{3}} (x + 2)$
7612	Write in Standard Form	y=(2x+4)(x+3)	$y = (2 x + 4) (x + 3)$
7613	Find dy/dx	x^3-2x^2=4-y^2	$x^{3} - 2 x^{2} = 4 - y^{2}$
7614	Solve for x	64^(18x+70)=(1/8)^(2x^2-2x)	$64^{18 x + 70} = {(\frac{1}{8})}^{2 x^{2} - 2 x}$
7615	Solve for u	(1/5)^(u^2+8)=125^(u^2-3)	${(\frac{1}{5})}^{u^{2} + 8} = 125^{u^{2} - 3}$
7616	Solve for x	x^3+2x^2-23x-60=(x+3)(x+4)(x-5)	$x^{3} + 2 x^{2} - 23 x - 60 = (x + 3) (x + 4) (x - 5)$
7617	Simplify	((125a^3)/(8b^6))^(-2/3)	${(\frac{125 a^{3}}{8 b^{6}})}^{- \frac{2}{3}}$
7618	Graph	2/7>b+5/7	$\frac{2}{7} > b + \frac{5}{7}$
7619	Simplify	(x+7)/(5x^3)*(15x^2)/(2x+14)	$\frac{x + 7}{5 x^{3}} \cdot \frac{15 x^{2}}{2 x + 14}$
7620	Find the Inflection Points	y=e^(-x)+2xe^(-x)+x^2e^(-x)	$y = e^{- x} + 2 x e^{- x} + x^{2} e^{- x}$
7621	Evaluate	4*(1/2)^2	$4 \cdot {(\frac{1}{2})}^{2}$
7622	Find the Slope and y-intercept	3x+2y=2x+8	$3 x + 2 y = 2 x + 8$
7623	Evaluate the Function	f(x)=x^3-6x+1 for x=6	$f (x) = x^{3} - 6 x + 1$ for $x = 6$
7624	Write in Slope-Intercept Form	3x+2y=2x+8	$3 x + 2 y = 2 x + 8$
7625	Write in Standard Form	(x^2-3x-3)+(2x^2+7x-2)	$(x^{2} - 3 x - 3) + (2 x^{2} + 7 x - 2)$
7626	Solve for x	(0.7x-2.1)-(0.5-2x)=0.9(3x-1)+0.1	$(0.7 x - 2.1) - (0.5 - 2 x) = 0.9 (3 x - 1) + 0.1$
7627	Multiply	sixth root of 2* square root of 2	$\sqrt[6]{2} \cdot \sqrt{2}$
7628	Simplify	( square root of 12x)÷( fourth root of 3x)	$\sqrt{12 x} \div \sqrt[4]{3 x}$
7629	Simplify	(-3x^7y^-4z^0)^3	${(- 3 x^{7} y^{- 4} z^{0})}^{3}$
7630	Integrate Using u-Substitution	integral of x^2 square root of 3x+2 with respect to x	$\int x^{2} \sqrt{3 x + 2} d x$
7631	Simplify	((2p^5m)^-2)/p	$\frac{{(2 p^{5} m)}^{- 2}}{p}$
7632	Simplify	6a^3-12a^2-(3a)÷3a	$6 a^{3} - 12 a^{2} - 3 a \div 3 a$
7633	Find the Inflection Points	2/15x^6-3x^4	$\frac{2}{15} x^{6} - 3 x^{4}$
7634	Solve for x	\|x-3\|=\|3-x\|	$\| x - 3 \| = \| 3 - x \|$
7635	Simplify	(11^(3/2)*11^(-5/2))^(-1/3)	${(11^{\frac{3}{2}} \cdot 11^{- \frac{5}{2}})}^{- \frac{1}{3}}$
7636	Solve for h	100=( square root of h)/4	$100 = \frac{\sqrt{h}}{4}$
7637	Simplify the Radical Expression	square root of 3x^2y* cube root of 27x^3y^2	$\sqrt{3 x^{2} y} \cdot \sqrt[3]{27 x^{3} y^{2}}$
7638	Simplify	(h^-1*h^-5)^(1/2)	${(h^{- 1} \cdot h^{- 5})}^{\frac{1}{2}}$
7639	Solve for x	2 square root of 9-x- square root of 1-9x=0	$2 \sqrt{9 - x} - \sqrt{1 - 9 x} = 0$
7640	Simplify	2^4*2^5-(2^2)^2	$2^{4} \cdot 2^{5} - {(2^{2})}^{2}$
7641	Simplify	(1/(216^(-2/3)))	$(\frac{1}{216^{- \frac{2}{3}}})$
7642	Simplify	(3/4z)(-8z^3)^2	$(\frac{3}{4} z) {(- 8 z^{3})}^{2}$
7643	Simplify	(-6(14x+3))/(-2(3+14x))	$\frac{- 6 (14 x + 3)}{- 2 (3 + 14 x)}$
7644	Write in Standard Form	(g+5)+(2g+7)	$(g + 5) + (2 g + 7)$
7645	Simplify	2i^3(5-12i)	$2 i^{3} (5 - 12 i)$
7646	Solve by Substitution	-x+2y=2 y=1/2x+1	$- x + 2 y = 2$ $y = \frac{1}{2} x + 1$
7647	Simplify	fifth root of 7* fifth root of 7^2	$\sqrt[5]{7} \cdot \sqrt[5]{7^{2}}$
7648	Solve for x	-4x+5+3x=2-x+3	$- 4 x + 5 + 3 x = 2 - x + 3$
7649	Graph	F(x) = cube root of x+4-4	$F (x) = \sqrt[3]{x + 4} - 4$
7650	Evaluate	square root of 5x+1- square root of x=5	$\sqrt{5 x + 1} - \sqrt{x} = 5$
7651	Solve for x	(2x-8)/x-(2x+9)/(2x)=7/2	$\frac{2 x - 8}{x} - \frac{2 x + 9}{2 x} = \frac{7}{2}$
7652	Find the Excluded Values	(x^2+x-90)/(x^2+2x-80)	$\frac{x^{2} + x - 90}{x^{2} + 2 x - 80}$
7653	Simplify the Radical Expression	10 square root of 10+10 square root of 40	$10 \sqrt{10} + 10 \sqrt{40}$
7654	Evaluate	7 square root of x+1<9	$7 \sqrt{x} + 1 < 9$
7655	Find the Exact Value	((4/3)(2/5))÷(3/2)	$((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$
7656	Solve for x	(2x)/(2x+5)=3/4-7/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{3}{4} - \frac{7}{4 x + 10}$
7657	Convert to Radical Form	(x-7)^(-1/4)	${(x - 7)}^{- \frac{1}{4}}$
7658	Solve by Isolating the Absolute Value for c	a=b(1/c-1/d)	$a = b (\frac{1}{c} - \frac{1}{d})$
7659	Find All Complex Solutions	square root of x=10	$\sqrt{x} = 10$
7660	Expand Using Sum/Difference Formulas	cos(pi/5+pi/6)	$\cos (\frac{π}{5} + \frac{π}{6})$
7661	Simplify	(1-2i)(1+2i)(2+i)	$(1 - 2 i) (1 + 2 i) (2 + i)$
7662	Simplify	( square root of 400x^2y^6)/( square root of 5)	$\frac{\sqrt{400 x^{2} y^{6}}}{\sqrt{5}}$
7663	Convert to a Decimal	-8pirad	$- 8 π$ radians
7664	Solve the Inequality for A	(A+4)/2>16	$\frac{A + 4}{2} > 16$
7665	Solve for y	5(x+y)=-2	$5 (x + y) = - 2$
7666	Solve for x	(15x)/16+1/8(16+x)=87	$\frac{15 x}{16} + \frac{1}{8} (16 + x) = 87$
7667	Simplify	(3 square root of 5-2 square root of 3)(2+ square root of 3)	$(3 \sqrt{5} - 2 \sqrt{3}) (2 + \sqrt{3})$
7668	Evaluate	-(57)^0+(1/2)^-2-1^5	$- {(57)}^{0} + {(\frac{1}{2})}^{- 2} - 1^{5}$
7669	Write in Standard Form	3-5(3a+6)	$3 - 5 (3 a + 6)$
7670	Solve the Absolute Value Inequality for m	\|(m-15)/5\|<16	$\| \frac{m - 15}{5} \| < 16$
7671	Find the Absolute Max and Min over the Interval	f(x)=2/(x^4-16) on interval (-2,2)	$f (x) = \frac{2}{x^{4} - 16}$ on interval $(- 2, 2)$
7672	Solve the Inequality for x	-1<=(2x+3)/3<4	$- 1 \leq \frac{2 x + 3}{3} < 4$
7673	Simplify	8h+(-7.3d)-14+5d-3.2h	$8 h + (- 7.3 d) - 14 + 5 d - 3.2 h$
7674	Solve the System of Equations	3x+3=3y 2x-6y=2	$3 x + 3 = 3 y$ $2 x - 6 y = 2$
7675	Graph	4k-16<k+2	$4 k - 16 < k + 2$
7676	Solve the Inequality for r	r-7>-10	$r - 7 > - 10$
7677	Write in Exponential Form	( square root of 2xy)^3	${(\sqrt{2 x y})}^{3}$
7678	Solve for x	x^4+2x^3-4x^2+x=0	$x^{4} + 2 x^{3} - 4 x^{2} + x = 0$
7679	Solve the Inequality for x	3\|2x+7\|-7<-4	$3 \| 2 x + 7 \| - 7 < - 4$
7680	Simplify	(1/(125^(2/3)))	$(\frac{1}{125^{\frac{2}{3}}})$
7681	Simplify	10^(1/4)*10^(-1/4)	$10^{\frac{1}{4}} \cdot 10^{- \frac{1}{4}}$
7682	Solve the Inequality for x	x+4-x/3<(2x)/3	$x + 4 - \frac{x}{3} < \frac{2 x}{3}$
7683	Find the Product	(x^m-1)(x^(2m)+x^m+1)	$(x^{m} - 1) (x^{2 m} + x^{m} + 1)$
7684	Expand Using Sum/Difference Formulas	sin(33 degrees +42 degrees )	$\sin (33 ° + 42 °)$
7685	Factor	x-xy^2	$x - x y^{2}$
7686	Simplify	( square root of 63x^14y^5)/( square root of x^4)	$\frac{\sqrt{63 x^{14} y^{5}}}{\sqrt{x^{4}}}$
7687	Write in Slope-Intercept Form	(0,2) and (4,-4)	$(0, 2)$ and $(4, - 4)$
7688	Graph	y=1/2x+6 x+6y=12	$y = \frac{1}{2} x + 6$ $x + 6 y = 12$
7689	Evaluate	-7(-1)^3-13(-1)^2+11(-1)	$- 7 {(- 1)}^{3} - 13 {(- 1)}^{2} + 11 (- 1)$
7690	Graph	1/2x-2=9-5x	$\frac{1}{2} x - 2 = 9 - 5 x$
7691	Find the Antiderivative	y=(3x^3-7x^2+4)/(x^2)	$y = \frac{3 x^{3} - 7 x^{2} + 4}{x^{2}}$
7692	Simplify	x^2y^24x^4y^-1x^3y^-4	$x^{2} y^{2} \cdot 4 x^{4} y^{- 1} \cdot x^{3} y^{- 4}$
7693	Evaluate the Integral	integral of (csc(x)cot(x)+3) with respect to x	$\int (\csc (x) \cot (x) + 3) d x$
7694	Solve the System of Equations	3x+y=-5 6x+2y=10	$3 x + y = - 5$ $6 x + 2 y = 10$
7695	Solve for x	y=x-11 y=14	$y = x - 11$ $y = 14$
7696	Integrate Using u-Substitution	integral of cot(x) with respect to x	$\int \cot (x) d x$
7697	Evaluate the Limit	limit as x approaches infinity of 6/(3+e^(-2x))	$lim_{x \to \infty} \frac{6}{3 + e^{- 2 x}}$
7698	Solve the Inequality for x	4^x<=36	$4^{x} \leq 36$
7699	Simplify	(90x^2)/(63x^2)	$\frac{90 x^{2}}{63 x^{2}}$
7700	Simplify	(2 12/5x^2)^(5/3)	${(2 \frac{12}{5} x^{2})}^{\frac{5}{3}}$