Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10701	Solve the Function Operation	f(x)=-2x-5 g(x)=3x^2+2x+14 Find: f(g(x))	$f (x) = - 2 x - 5$ $g (x) = 3 x^{2} + 2 x + 14$ Find: $f (g (x))$
10702	Simplify	21+8x+(-15)	$21 + 8 x + (- 15)$
10703	Solve for x	11x-2x+15=8+7+9x	$11 x - 2 x + 15 = 8 + 7 + 9 x$
10704	Find the Product	-5ab*(a^2-2b)	$- 5 a b \cdot (a^{2} - 2 b)$
10705	Factor	y=x^4-5x^2+4	$y = x^{4} - 5 x^{2} + 4$
10706	Find Amplitude, Period, and Phase Shift	f(t)=50sin(pi/10t-pi/2)+53	$f (t) = 50 \sin (\frac{π}{10} t - \frac{π}{2}) + 53$
10707	Simplify	simplify square root of 75	simplify $\sqrt{75}$
10708	Solve the Function Operation	-2j+7=-12	$- 2 j + 7 = - 12$
10709	Solve the Inequality for z	5/8z>5/6	$\frac{5}{8} z > \frac{5}{6}$
10710	Simplify	sixth root of 8x^3y^9	$\sqrt[6]{8 x^{3} y^{9}}$
10711	Evaluate	(1-2g+4h)*5	$(1 - 2 g + 4 h) \cdot 5$
10712	Evaluate the Limit	limit as x approaches negative infinity of (x^3-1)/(x^3+7)	$lim_{x \to - \infty} \frac{x^{3} - 1}{x^{3} + 7}$
10713	Simplify	(-4y^3)^2*(xy^4)^3+7x^3y^18	${(- 4 y^{3})}^{2} \cdot {(x y^{4})}^{3} + 7 x^{3} y^{18}$
10714	Simplify	cube root of (2x)/4	$\sqrt[3]{\frac{2 x}{4}}$
10715	Solve the Inequality for r	7-9r-(r+12)<=25	$7 - 9 r - (r + 12) \leq 25$
10716	Simplify	2/(sin(x)^2)	$\frac{2}{\sin^{2} (x)}$
10717	Solve for x	square root of x+2 = square root of 10x-1	$\sqrt{x} + 2 = \sqrt{10 x - 1}$
10718	Solve for x	0.1*0.2x=8.4	$0.1 \cdot 0.2 x = 8.4$
10719	Graph	y<=-2x-4y	$y \leq - 2 x - 4 y$
10720	Solve for N	5(3/5N+2)-n=-6n	$5 (\frac{3}{5} N + 2) - n = - 6 n$
10721	Factor	4(2x+7)+5(2x+7)	$4 (2 x + 7) + 5 (2 x + 7)$
10722	Evaluate the Integral	integral from 1 to infinity of 1/(2x^2) with respect to x	$\int_{1}^{\infty} \frac{1}{2 x^{2}} d x$
10723	Solve for x	square root of x^2-2- square root of x+4=0	$\sqrt{x^{2} - 2} - \sqrt{x + 4} = 0$
10724	Evaluate the Integral	integral of (4x-2)/((2x-1)^2) with respect to x	$\int \frac{4 x - 2}{{(2 x - 1)}^{2}} d x$
10725	Find dy/dx	y=((3x-1)/(x^2+3))^2	$y = {(\frac{3 x - 1}{x^{2} + 3})}^{2}$
10726	Find the Equation Given the Roots	-3i square root of 2	$- 3 i \sqrt{2}$
10727	Simplify	cos(x)tan(x)^2-cos(x)sec(x)^2	$\cos (x) \tan^{2} (x) - \cos (x) \sec^{2} (x)$
10728	Find the Antiderivative	8x^4+(x^-2)/2	$8 x^{4} + \frac{x^{- 2}}{2}$
10729	Identify the Zeros and Their Multiplicities	f(x)=x^5-6x^4+8x^3+6x^2-9x	$f (x) = x^{5} - 6 x^{4} + 8 x^{3} + 6 x^{2} - 9 x$
10730	Find the Excluded Values	(32x^4-50)/(4x^3-12x^2-5x+15)	$\frac{32 x^{4} - 50}{4 x^{3} - 12 x^{2} - 5 x + 15}$
10731	Solve for x	4/3=(2x)/15	$\frac{4}{3} = \frac{2 x}{15}$
10732	Solve for x	-9=13x-7x+12	$- 9 = 13 x - 7 x + 12$
10733	Simplify	(-1/8)^(-2/3)	${(- \frac{1}{8})}^{\frac{- 2}{3}}$
10734	Divide	( square root of 8)/( square root of 100)	$\frac{\sqrt{8}}{\sqrt{100}}$
10735	Simplify	fifth root of 1/(m^7*m^8)	$\sqrt[5]{\frac{1}{m^{7} \cdot m^{8}}}$
10736	Solve the Inequality for f	-2/3f+3<-9	$- \frac{2}{3} f + 3 < - 9$
10737	Add	3 square root of 18+3 square root of 12+2 square root of 27	$3 \sqrt{18} + 3 \sqrt{12} + 2 \sqrt{27}$
10738	Determine the Possible Number of Real Roots	5x^2+7x+2	$5 x^{2} + 7 x + 2$
10739	Simplify	(x+5)/(3x+4)+(x+4)/(x+3)	$\frac{x + 5}{3 x + 4} + \frac{x + 4}{x + 3}$
10740	Write the Fraction in Simplest Form	((2d)^3)/(2d^5)	$\frac{{(2 d)}^{3}}{2 d^{5}}$
10741	Solve for x	-5/9+4/x=1/(9x)	$\frac{- 5}{9} + \frac{4}{x} = \frac{1}{9 x}$
10742	Evaluate the Limit	limit as x approaches 3 of (x^3-3x^2)/(5x-15)	$lim_{x \to 3} \frac{x^{3} - 3 x^{2}}{5 x - 15}$
10743	Rationalize the Denominator	cube root of x/(4y)	$\sqrt[3]{\frac{x}{4 y}}$
10744	Simplify	(8x^-2)/(4y^-5)	$\frac{8 x^{- 2}}{4 y^{- 5}}$
10745	Convert to Radical Form	( cube root of 24^4)/24	$\frac{\sqrt[3]{24^{4}}}{24}$
10746	Find dy/dx	y=(x^4)/((6x+1)^3)	$y = \frac{x^{4}}{{(6 x + 1)}^{3}}$
10747	Simplify	3 square root of a+9 square root of b- square root of b-2 square root of a	$3 \sqrt{a} + 9 \sqrt{b} - \sqrt{b} - 2 \sqrt{a}$
10748	Simplify	i^60-i^112+10i^93-6i^36	$i^{60} - i^{112} + 10 i^{93} - 6 i^{36}$
10749	Simplify	x^3y^3 cube root of 27x^4y^8	$x^{3} y^{3} \sqrt[3]{27 x^{4} y^{8}}$
10750	Graph	f(x)<- square root of x+2-4	$f (x) < - \sqrt{x + 2} - 4$
10751	Simplify	fourth root of 1/32	$\sqrt[4]{\frac{1}{32}}$
10752	Evaluate	(5-3x)-(-4x+6)=(8x+11)-(3x-6)	$(5 - 3 x) - (- 4 x + 6) = (8 x + 11) - (3 x - 6)$
10753	Write in Slope-Intercept Form	4>4x-y	$4 > 4 x - y$
10754	Solve for v	v+0.9=-0.2v+1.3+0.4v	$v + 0.9 = - 0.2 v + 1.3 + 0.4 v$
10755	Solve the Inequality for y	(2y+1)/5-(y-2)/3<=-1/15	$\frac{2 y + 1}{5} - \frac{y - 2}{3} \leq - \frac{1}{15}$
10756	Factor by Grouping	3a+b-6a^2-2ab	$3 a + b - 6 a^{2} - 2 a b$
10757	Solve for x	(3x)/5=x-8	$\frac{3 x}{5} = x - 8$
10758	Solve the Inequality for m	41>6m-7	$41 > 6 m - 7$
10759	Solve for x	4(3x+6)^(1/4)-12=0	$4 {(3 x + 6)}^{\frac{1}{4}} - 12 = 0$
10760	Simplify	6x-2x+8y-6y	$6 x - 2 x + 8 y - 6 y$
10761	Solve by Substitution	y=2+5/6x 4x-3y=3	$y = 2 + \frac{5}{6} x$ $4 x - 3 y = 3$
10762	Simplify	-30<x/-4	$- 30 < \frac{x}{- 4}$
10763	Graph	1/6w>=2.5	$\frac{1}{6} w \geq 2.5$
10764	Find the Exact Value	csc(30 degrees )cot(45 degrees )	$\csc (30 °) \cot (45 °)$
10765	Evaluate	5(10k+1)+2(2+8K)	$5 (10 k + 1) + 2 (2 + 8 K)$
10766	Solve by Addition/Elimination	2x-y=-15 2(x+3y)=-22	$2 x - y = - 15$ $2 (x + 3 y) = - 22$
10767	Simplify	6xy^3 cube root of 135x^10y^9	$6 x y^{3} \sqrt[3]{135 x^{10} y^{9}}$
10768	Solve the Inequality for x	18>=5x+4x	$18 \geq 5 x + 4 x$
10769	Simplify	((-2x^3y^8z^-2)/(6x^-1y^3z^-1))^0	${(\frac{- 2 x^{3} y^{8} z^{- 2}}{6 x^{- 1} y^{3} z^{- 1}})}^{0}$
10770	Solve for x	(5x+7)/(x-2)-(2x+21)/(x+2)=8 2/3	$\frac{5 x + 7}{x - 2} - \frac{2 x + 21}{x + 2} = 8 \frac{2}{3}$
10771	Solve by Factoring	x^2+2ax+a^2=0	$x^{2} + 2 a x + a^{2} = 0$
10772	Solve for x	(2x+5)/(x+1)-(2x+1)/(1-x)=(3x)/(x-1)	$\frac{2 x + 5}{x + 1} - \frac{2 x + 1}{1 - x} = \frac{3 x}{x - 1}$
10773	Solve the Inequality for x	-5+3x<-8(x+2)	$- 5 + 3 x < - 8 (x + 2)$
10774	Convert to a Percentage	72 is what percent of 45	$72$ is what percent of $45$
10775	Simplify	x/-9>=3	$\frac{x}{- 9} \geq 3$
10776	Solve for B	4=6B+16C	$4 = 6 B + 16 C$
10777	Integrate Using u-Substitution	integral of xsin(x) with respect to x	$\int x \sin (x) d x$
10778	Find the End Behavior	f(x)=-10x^6+5120-400x^3-2240x^2+1280x+20x^5+280x^4	$f (x) = - 10 x^{6} + 5120 - 400 x^{3} - 2240 x^{2} + 1280 x + 20 x^{5} + 280 x^{4}$
10779	Find the Antiderivative	(2+e^(3x))^2	${(2 + e^{3 x})}^{2}$
10780	Subtract	-9x^2y^2+5x^2y-11xy+1 5x^2y^2-15xy-11	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1$ $5 x^{2} y^{2} - 15 x y - 11$
10781	Write in Slope-Intercept Form	x-y<=3	$x - y \leq 3$
10782	Solve for x	1/3(x-9)-x=11-5/3x	$\frac{1}{3} (x - 9) - x = 11 - \frac{5}{3} x$
10783	Find the Domain and Range	y=3sin(2x-pi/2)	$y = 3 \sin (2 x - \frac{π}{2})$
10784	Solve for x	1/( square root of x+5) = square root of -2x	$\frac{1}{\sqrt{x + 5}} = \sqrt{- 2 x}$
10785	Solve the Inequality for n	log base 5 of 25<n	$\log_{5} (25) < n$
10786	Simplify the Radical Expression	( cube root of 4)/( square root of 2)	$\frac{\sqrt[3]{4}}{\sqrt{2}}$
10787	Combine Like Terms	12y+y-5y	$12 y + y - 5 y$
10788	Simplify the Radical Expression	(125)(2/3)	$(125) (\frac{2}{3})$
10789	Solve the Function Operation	f(x)=-2x if x<=-1; 1 if -1=3 Find f(-2)	$f (x) = {\begin{cases} - 2 x & x \leq - 1 \\ 1 & - 1 = 3 \end{cases}$ Find $f (- 2)$
10790	Find the Cotangent Given the Point	(3 1/2,-2 square root of 15)	$(3 \frac{1}{2}, - 2 \sqrt{15})$
10791	Expand the Logarithmic Expression	log base 4 of (5x^(3y))/(2xy^3)	$\log_{4} (\frac{5 x^{3 y}}{2 x y^{3}})$
10792	Find the Domain and Range	f(x)=- natural log of x+5	$f (x) = - \ln (x + 5)$
10793	Factor by Grouping	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
10794	Graph	3x+5y<10 x-y<=-1	$3 x + 5 y < 10$ $x - y \leq - 1$
10795	Evaluate	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
10796	Evaluate	i^30i^20i^29*i^6	$i^{30} \cdot i^{20} \cdot i^{29} \cdot i^{6}$
10797	Solve for b	4=8b+10c	$4 = 8 b + 10 c$
10798	Solve the Absolute Value Inequality for x	8=\|5-x\|	$8 = \| 5 - x \|$
10799	Solve for j	18(5j-1)+29=47	$18 (5 j - 1) + 29 = 47$
10800	Simplify	6/( square root of 2x^3)	$\frac{6}{\sqrt{2 x^{3}}}$