Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
15701	Simplify	((x+3)/(x^2+8x+15))÷((x^2-25)/(x-5))	$\frac{x + 3}{x^{2} + 8 x + 15} \div \frac{x^{2} - 25}{x - 5}$
15702	Find the Cosecant of the Angle	(3pi)/4	$\frac{3 π}{4}$
15703	Evaluate the Integral	integral of x^2(x-2)^(3/2) with respect to x	$\int x^{2} {(x - 2)}^{\frac{3}{2}} d x$
15704	Solve for x	natural log of x^2-10+ natural log of 9 = natural log of 10	$\ln (x^{2} - 10) + \ln (9) = \ln (10)$
15705	Solve for x	3(x-2)=2-2/3(x+1)	$3 (x - 2) = 2 - \frac{2}{3} (x + 1)$
15706	Find the x and y Intercepts	f(x)=1/8(1/4)^(x-2)	$f (x) = \frac{1}{8} {(\frac{1}{4})}^{x - 2}$
15707	Simplify	-11ab cube root of a^12b^18	$- 11 a b \sqrt[3]{a^{12} b^{18}}$
15708	Simplify	square root of 5* cube root of 5* fourth root of 5	$\sqrt{5} \cdot \sqrt[3]{5} \cdot \sqrt[4]{5}$
15709	Convert to Interval Notation	-x-6>=-5 or -2x-5>4	$- x - 6 \geq - 5$ or $- 2 x - 5 > 4$
15710	Multiply	square root of 3(5+ square root of 3)	$\sqrt{3} (5 + \sqrt{3})$
15711	Solve for x	fourth root of (2x-1)^3=27	$\sqrt[4]{{(2 x - 1)}^{3}} = 27$
15712	Find Where Increasing/Decreasing	f(x)=2* log base 1/4 of x	$f (x) = 2 \cdot \log_{\frac{1}{4}} (x)$
15713	Find the Asymptotes	f(x)=2* log base 1/4 of x	$f (x) = 2 \cdot \log_{\frac{1}{4}} (x)$
15714	Simplify	(9x^6-4x^5)+(10x^5-15x^4+14)	$(9 x^{6} - 4 x^{5}) + (10 x^{5} - 15 x^{4} + 14)$
15715	Solve the Function Operation	f(x)=x+10 g(x)=x^2+2x-7 Find: (fog)(x)	$f (x) = x + 10$ $g (x) = x^{2} + 2 x - 7$ Find: $((f \circ g)) (x)$
15716	Find the Roots (Zeros)	f(x)=16x-22x^3+6x^6+19x^5-3	$f (x) = 16 x - 22 x^{3} + 6 x^{6} + 19 x^{5} - 3$
15717	Simplify	((x^-5)^2*x^15)/(x^3)	$\frac{{(x^{- 5})}^{2} \cdot x^{15}}{x^{3}}$
15718	Evaluate the Integral	integral of (cos(x)-1)/x with respect to x	$\int \frac{\cos (x) - 1}{x} d x$
15719	Rationalize the Denominator	3 square root of 5/4	$3 \sqrt{\frac{5}{4}}$
15720	Solve for B in Degrees	sin(B)=0.4848	$\sin (B) = 0.4848$
15721	Simplify	(0-x)^2	${(0 - x)}^{2}$
15722	Simplify the Radical Expression	( square root of 20x+5)/( square root of 5x)	$\frac{\sqrt{20 x + 5}}{\sqrt{5 x}}$
15723	Simplify	(-8m)/(15v^4)-4/(25mv^2)	$\frac{- 8 m}{15 v^{4}} - \frac{4}{25 m v^{2}}$
15724	Simplify	(-12x)/3+5x	$\frac{- 12 x}{3} + 5 x$
15725	Simplify	(-1296^(3/4))	$(- 1296^{\frac{3}{4}})$
15726	Factor by Grouping	45x^5y^7+33x^3y^3+78x^2y^4	$45 x^{5} y^{7} + 33 x^{3} y^{3} + 78 x^{2} y^{4}$
15727	Divide	5÷(4/6)	$5 \div \frac{4}{6}$
15728	Evaluate	2^(3x+4)<2^(2x+8)	$2^{3 x + 4} < 2^{2 x + 8}$
15729	Graph	Graph the line with the equation y=1/2x+5	Graph the line with the equation $y = \frac{1}{2} x + 5$
15730	Solve the Rational Equation for x	square root of x^2-144=0	$\sqrt{x^{2} - 144} = 0$
15731	Solve for x	log base 7 of x^2-5- log base 7 of x+1=0	$\log_{7} (x^{2} - 5) - \log_{7} (x + 1) = 0$
15732	Solve for y	1/2y=8-x	$\frac{1}{2} y = 8 - x$
15733	Simplify	(3ab^3z^2)^2(4a^2b)(2a^3c^2)^4	${(3 a b^{3} z^{2})}^{2} (4 a^{2} b) {(2 a^{3} c^{2})}^{4}$
15734	Graph	7x-3=x-3	$7 x - 3 = x - 3$
15735	Solve for b	5^7*5^b=5^3	$5^{7} \cdot 5^{b} = 5^{3}$
15736	Find the Integral	x^3e^(x^2)	$x^{3} e^{x^{2}}$
15737	Evaluate	2(3)^2-5^1+3(3)^0	$2 {(3)}^{2} - 5^{1} + 3 {(3)}^{0}$
15738	Convert to Radical Form	27^(-2/3)	$27^{\frac{- 2}{3}}$
15739	Find the End Behavior	f(x)=x^4+2x^3-13x^2-14x+24	$f (x) = x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24$
15740	Simplify/Condense	4* log of x-(2* log of v+3* log of y)	$4 \cdot \log (x) - (2 \cdot \log (v) + 3 \cdot \log (y))$
15741	Simplify	cube root of 27x- cube root of x	$\sqrt[3]{27 x} - \sqrt[3]{x}$
15742	Solve the System of Equations	x-2y-z=2 2x+y-3z=4 -2x+4y+2z=6	$x - 2 y - z = 2$ $2 x + y - 3 z = 4$ $- 2 x + 4 y + 2 z = 6$
15743	Find the Roots (Zeros)	x^3+5x^2-x-7=x^2+6x+3	$x^{3} + 5 x^{2} - x - 7 = x^{2} + 6 x + 3$
15744	Find the Domain and Range	1/(x^2+64)+4	$\frac{1}{x^{2} + 64} + 4$
15745	Solve the Function Operation	f(x)=3x+6 g(x)=3x^2-3x+9 Find: f(g(x))	$f (x) = 3 x + 6$ $g (x) = 3 x^{2} - 3 x + 9$ Find: $f (g (x))$
15746	Solve for y	2x+y-4=0	$2 x + y - 4 = 0$
15747	Evaluate	9x-71>3(3x-7u)	$9 x - 71 > 3 (3 x - 7 u)$
15748	Simplify	(3x^2)/(x^2-25)-x/(x+5)+2/(x-5)	$\frac{3 x^{2}}{x^{2} - 25} - \frac{x}{x + 5} + \frac{2}{x - 5}$
15749	Solve for x	5x+12^x=5x+7	$5 x + 12^{x} = 5 x + 7$
15750	Solve for x	x+3+7=5(x-4)	$x + 3 + 7 = 5 (x - 4)$
15751	Solve for x	1/2 natural log of x+17 = natural log of x^2-9- natural log of x+3	$\frac{1}{2} \ln (x + 17) = \ln (x^{2} - 9) - \ln (x + 3)$
15752	Solve for y	(3y+9)/(3y-1)+(2y-13)/(2y+5)=2	$\frac{3 y + 9}{3 y - 1} + \frac{2 y - 13}{2 y + 5} = 2$
15753	Solve for b	-5(2b+1)=-11b	$- 5 (2 b + 1) = - 11 b$
15754	Factor	16a^6b^7c-12a^5b^2c^3+20a^3b^10	$16 a^{6} b^{7} c - 12 a^{5} b^{2} c^{3} + 20 a^{3} b^{10}$
15755	Write in Standard Form	x=-3y+7	$x = - 3 y + 7$
15756	Simplify	(6x^-1y)/( square root of 25x^3y^3)	$\frac{6 x^{- 1} y}{\sqrt{25 x^{3} y^{3}}}$
15757	Solve the Inequality for x	(3x+2)/(x-4)<=7	$\frac{3 x + 2}{x - 4} \leq 7$
15758	Simplify the Radical Expression	( square root of 4)/( square root of 3)	$\frac{\sqrt{4}}{\sqrt{3}}$
15759	Solve for x	(6cos(x)-5sin(x))^2+11sin(x)^2=36	${(6 \cos (x) - 5 \sin (x))}^{2} + 11 \sin^{2} (x) = 36$
15760	Subtract	(10x^4-4x^3-7x^2+5x+9)-(2x^4-5x^3-4x^2+9x+3)	$(10 x^{4} - 4 x^{3} - 7 x^{2} + 5 x + 9) - (2 x^{4} - 5 x^{3} - 4 x^{2} + 9 x + 3)$
15761	Solve for Y	-17Y+5=5Y-17	$- 17 Y + 5 = 5 Y - 17$
15762	Simplify the Radical Expression	15i*4i	$15 i \cdot 4 i$
15763	Evaluate	(6 square root of 5- square root of 125)* square root of 45	$(6 \sqrt{5} - \sqrt{125}) \cdot \sqrt{45}$
15764	Solve for C in Degrees	-cos(C)+6=2cos(C)+6	$- \cos (C) + 6 = 2 \cos (C) + 6$
15765	Graph	y<((-x+4)(x+1))/(x+1)	$y < \frac{(- x + 4) (x + 1)}{x + 1}$
15766	Find All Complex Solutions	log base 3 of x* log base 2 of 3=5	$\log_{3} (x) \cdot \log_{2} (3) = 5$
15767	Find the Degree, Leading Term, and Leading Coefficient	-1/6x+10	$- \frac{1}{6} x + 10$
15768	Simplify	((b^(3/2))/(b^(2/3)))	$(\frac{b^{\frac{3}{2}}}{b^{\frac{2}{3}}})$
15769	Solve the Inequality for m	3m-7<2	$3 m - 7 < 2$
15770	Solve the Function Operation	f(x)=6(x-3) ; find f^-1(x)	$f (x) = 6 (x - 3)$ ; find $f^{- 1} (x)$
15771	Simplify	(2a+b-c-d)+(4a-3b-2c+5d)	$(2 a + b - c - d) + (4 a - 3 b - 2 c + 5 d)$
15772	Solve for x	log base 4 of 1/64=2x-6	$\log_{4} (\frac{1}{64}) = 2 x - 6$
15773	Write in Standard Form	(x^2-2x-3)(2x^2+4x-5)	$(x^{2} - 2 x - 3) (2 x^{2} + 4 x - 5)$
15774	Rationalize the Denominator	( cube root of 5)/( cube root of 4x^2)	$\frac{\sqrt[3]{5}}{\sqrt[3]{4 x^{2}}}$
15775	Evaluate the Limit	limit as x approaches 1/2 of 4x	$lim_{x \to \frac{1}{2}} 4 x$
15776	Solve the Inequality for b	3b-6>=15+24b	$3 b - 6 \geq 15 + 24 b$
15777	Solve for x	2/3(1+x)=-1/2x	$\frac{2}{3} (1 + x) = - \frac{1}{2} x$
15778	Simplify	(5+2^3)^2-5^2	${(5 + 2^{3})}^{2} - 5^{2}$
15779	Graph	f(x) = log base 1/3 of x+1-2	$f (x) = \log_{\frac{1}{3}} (x + 1) - 2$
15780	Convert to a Decimal	sin(765)deg	$\sin (765)$ degrees
15781	Solve the Inequality for x	x+3<=2(x-4)	$x + 3 \leq 2 (x - 4)$
15782	Evaluate	log base 2 of 4x-3 = log base 2 of 3+ log base 2 of x	$\log_{2} (4 x) - 3 = \log_{2} (3) + \log_{2} (x)$
15783	Simplify	x+y+x^2y+xy^2-x^3-y^3	$x + y + x^{2} y + x y^{2} - x^{3} - y^{3}$
15784	Simplify	6*4-4+8÷4	$6 \cdot 4 - 4 + 8 \div 4$
15785	Solve the Inequality for p	-18<-2p<=12	$- 18 < - 2 p \leq 12$
15786	Simplify	((2xy^2)^2)/(4(x^2y^3)^2)	$\frac{{(2 x y^{2})}^{2}}{4 {(x^{2} y^{3})}^{2}}$
15787	Solve for x	20-4=32x	$20 - 4 = 32 x$
15788	Simplify	(8n^2-2n^3)+(6n^3-8n^2)	$(8 n^{2} - 2 n^{3}) + (6 n^{3} - 8 n^{2})$
15789	Integrate Using u-Substitution	integral of x natural log of x with respect to x	$\int x \ln (x) d x$
15790	Simplify	sixth root of 6^5* sixth root of 6	$\sqrt[6]{6^{5}} \cdot \sqrt[6]{6}$
15791	Simplify the Radical Expression	1/(2+ square root of 3)	$\frac{1}{2 + \sqrt{3}}$
15792	Find dr/dx	r = square root of x^2+y^2	$r = \sqrt{x^{2} + y^{2}}$
15793	Find the GCF	27y^3z and 45x^2y	$27 y^{3} z$ and $45 x^{2} y$
15794	Simplify	fourth root of (3a)/(16b^8)	$\sqrt[4]{\frac{3 a}{16 b^{8}}}$
15795	Solve Using the Quadratic Formula	(x^2-1)/2-11x=11	$\frac{x^{2} - 1}{2} - 11 x = 11$
15796	Find the Roots (Zeros)	y=(x^2-25)/(x^2+5x+5)	$y = \frac{x^{2} - 25}{x^{2} + 5 x + 5}$
15797	Solve the Rational Equation for x	(4x/2)(4x/5)=4^14	$(4 \frac{x}{2}) (4 \frac{x}{5}) = 4^{14}$
15798	Simplify	3/(x^2-4)+1/(x+2)	$\frac{3}{x^{2} - 4} + \frac{1}{x + 2}$
15799	Simplify	e^(- natural log of \|x\|)	$e^{- \ln (\| x \|)}$
15800	Find the Domain and Range	f(x)=(3/4)^(2(x+1))-5	$f (x) = {(\frac{3}{4})}^{2 (x + 1)} - 5$