Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28901	Solve the System of Equations	-m+n=9 m+n=5	$- m + n = 9$ $m + n = 5$
28902	Evaluate	((7-2)*180)/7	$\frac{(7 - 2) \cdot 180}{7}$
28903	Find the LCD	7/(8x) and 2/(7x+3)	$\frac{7}{8 x}$ and $\frac{2}{7 x + 3}$
28904	Evaluate the Limit	limit as x approaches 0 of (1-cos(x)+tan(5x))/(1-cos(x)-tan(x))	$lim_{x \to 0} \frac{1 - \cos (x) + \tan (5 x)}{1 - \cos (x) - \tan (x)}$
28905	Evaluate the Integral	integral from 0 to a of 7x square root of a^2-x^2 with respect to x	$\int_{0}^{a} 7 x \sqrt{a^{2} - x^{2}} d x$
28906	Simplify	(3x^2y^-3)^2*(x^2y^4)^(1/2)	${(3 x^{2} y^{- 3})}^{2} \cdot {(x^{2} y^{4})}^{\frac{1}{2}}$
28907	Write Using Positive Exponents	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
28908	Evaluate	1/2(3)(4)^2	$\frac{1}{2} (3) {(4)}^{2}$
28909	Evaluate	square root of 15x^2 square root of 15x	$\sqrt{15 x^{2}} \sqrt{15 x}$
28910	Simplify	-2d(d^3c^2-4dc^2+2d^2c)+c^2(dc^2-3d^4)	$- 2 d (d^{3} c^{2} - 4 d c^{2} + 2 d^{2} c) + c^{2} (d c^{2} - 3 d^{4})$
28911	Solve the Inequality for x	6x^2-4x>=7x+2	$6 x^{2} - 4 x \geq 7 x + 2$
28912	Solve for x	4 square root of x=8x-24	$4 \sqrt{x} = 8 x - 24$
28913	Find the Remainder	(x^4+2x^3-13x^2-12x+21)/(x^2-4x+3)	$\frac{x^{4} + 2 x^{3} - 13 x^{2} - 12 x + 21}{x^{2} - 4 x + 3}$
28914	Solve the System of Equations	3x+5y+8z=-20 -x+2y-4z=18 -6x+4z=0	$3 x + 5 y + 8 z = - 20$ $- x + 2 y - 4 z = 18$ $- 6 x + 4 z = 0$
28915	Solve the Inequality for x	(x^2+6x)/(x-4)>0	$\frac{x^{2} + 6 x}{x - 4} > 0$
28916	Multiply	(3x-21)/(x^2-3x-28)*(5x+20)/(2x+8)	$\frac{3 x - 21}{x^{2} - 3 x - 28} \cdot \frac{5 x + 20}{2 x + 8}$
28917	Simplify	(2x+1)/(8x^3)+(x-1)/(4x^2)	$\frac{2 x + 1}{8 x^{3}} + \frac{x - 1}{4 x^{2}}$
28918	Find the Antiderivative	1/(x^2+5x+6)	$\frac{1}{x^{2} + 5 x + 6}$
28919	Graph	x+y<=8 and y<=-8	$x + y \leq 8$ and $y \leq - 8$
28920	Simplify	(2x^2-5x-16)/(x^2-x-20)-x/(x+4)	$\frac{2 x^{2} - 5 x - 16}{x^{2} - x - 20} - \frac{x}{x + 4}$
28921	Integrate By Parts	integral of 5x natural log of x with respect to x	$\int 5 x \ln (x) d x$
28922	Simplify	square root of 9	square root of $9$
28923	Simplify	square root of 54x^4y^3* square root of 72xy^6	$\sqrt{54 x^{4} y^{3}} \cdot \sqrt{72 x y^{6}}$
28924	Rationalize the Denominator	cube root of (x^2)/(3y)	$\sqrt[3]{\frac{x^{2}}{3 y}}$
28925	Simplify	-(6y^4)/((-2y^-5)^5)	$- \frac{6 y^{4}}{{(- 2 y^{- 5})}^{5}}$
28926	Solve the Inequality for x	3x^2+184<48x-5	$3 x^{2} + 184 < 48 x - 5$
28927	Find the Derivative - d/dx	(3x^2-6x+1)^2	${(3 x^{2} - 6 x + 1)}^{2}$
28928	Solve for C in Degrees	12sin(C)+6=5sin(C)+6	$12 \sin (C) + 6 = 5 \sin (C) + 6$
28929	Simplify	2x^11-6x^7-(10x^6)÷2x^3	$2 x^{11} - 6 x^{7} - 10 x^{6} \div 2 x^{3}$
28930	Find the Domain	(2-x)^2+3	${(2 - x)}^{2} + 3$
28931	Find the Antiderivative	(1/3)x^3-5x	$(\frac{1}{3}) x^{3} - 5 x$
28932	Factor	2ax+10x+5+a+5b+ab	$2 a x + 10 x + 5 + a + 5 b + a b$
28933	Evaluate	4 square root of 2+2( square root of 36- square root of 8)	$4 \sqrt{2} + 2 (\sqrt{36} - \sqrt{8})$
28934	Find the Exact Value	log base 3 of 27*81	$\log_{3} (27 \cdot 81)$
28935	Find the Degree, Leading Term, and Leading Coefficient	y=(x+4)(x+1)(x-1)^2	$y = (x + 4) (x + 1) {(x - 1)}^{2}$
28936	Integrate Using u-Substitution	integral of sin( natural log of x) with respect to x	$\int \sin (\ln (x)) d x$
28937	Find the Critical Points	f(x) = square root of x+2-1	$f (x) = \sqrt{x + 2} - 1$
28938	Simplify the Radical Expression	4 square root of 3* square root of 3	$4 \sqrt{3} \cdot \sqrt{3}$
28939	Solve for x	10/(x+4)=15/(4(x+1))	$\frac{10}{x + 4} = \frac{15}{4 (x + 1)}$
28940	Solve for x	9 = square root of x/3+1	$9 = \sqrt{\frac{x}{3}} + 1$
28941	Evaluate	-185%-1.7	$- 185 % - 1.7$
28942	Evaluate	-5+(4+(3-(4-8)+(-5-10)))	$- 5 + (4 + (3 - (4 - 8) + (- 5 - 10)))$
28943	Solve for t	2sin(t)^2-cos(t)-1=0	$2 \sin^{2} (t) - \cos (t) - 1 = 0$
28944	Simplify the Radical Expression	square root of 3x^5* square root of 15x	$\sqrt{3 x^{5}} \cdot \sqrt{15 x}$
28945	Simplify	18÷6+4÷2-15÷(-3)+4+(-2)÷(-1)	$18 \div 6 + 4 \div 2 - 15 \div (- 3) + 4 + (- 2) \div (- 1)$
28946	Find the Derivative - d/dx	y=e^(2x^6-8x^5)	$y = e^{2 x^{6} - 8 x^{5}}$
28947	Simplify	3(r-s)*5(r-s)^3	$3 (r - s) \cdot 5 {(r - s)}^{3}$
28948	Find the Antiderivative	f(x) = fifth root of x-2e^x	$f (x) = \sqrt[5]{x} - 2 e^{x}$
28949	Solve the Rational Equation for x	4/(2x)=5/(x+6)	$\frac{4}{2 x} = \frac{5}{x + 6}$
28950	Solve for x	x^2+bx+16=0	$x^{2} + b x + 16 = 0$
28951	Solve for f	15f+12-9-11f=43	$15 f + 12 - 9 - 11 f = 43$
28952	Simplify	( square root of 9xy)/( square root of 2x)	$\frac{\sqrt{9 x y}}{\sqrt{2 x}}$
28953	Simplify	4y+3-2(x+2y+9)	$4 y + 3 - 2 (x + 2 y + 9)$
28954	Solve for n	-10n^2-5=-185	$- 10 n^{2} - 5 = - 185$
28955	Solve the Absolute Value Inequality for x	\|x+4\|=x-1	$\| x + 4 \| = x - 1$
28956	Find the Derivative - d/dx	(x+y^2) square root of e^x+2/e	$(x + y^{2}) \sqrt{e^{x}} + \frac{2}{e}$
28957	Evaluate	(x^-8*x^5)/(x^-6)	$\frac{x^{- 8} \cdot x^{5}}{x^{- 6}}$
28958	Graph	y=4+1/2 square root of x+5	$y = 4 + \frac{1}{2} \sqrt{x + 5}$
28959	Simplify	( fourth root of 18)/( square root of 6)	$\frac{\sqrt[4]{18}}{\sqrt{6}}$
28960	Solve for x	cos(x)-sec(x)=0	$\cos (x) - \sec (x) = 0$
28961	Solve the Inequality for x	square root of 3x+6+2<=5	$\sqrt{3 x + 6} + 2 \leq 5$
28962	Simplify	(8x^2+7)-(9x^2-2+x^5)	$(8 x^{2} + 7) - (9 x^{2} - 2 + x^{5})$
28963	Simplify	square root of 2x- square root of 8x^3-4 square root of 8x^3	$\sqrt{2 x} - \sqrt{8 x^{3}} - 4 \sqrt{8 x^{3}}$
28964	Find the Exact Value	sin(150 degrees )^2-cos(150 degrees )^2	$\sin^{2} (150 °) - \cos^{2} (150 °)$
28965	Simplify	((6x^3)^2)/((3x^2)^3)	$\frac{{(6 x^{3})}^{2}}{{(3 x^{2})}^{3}}$
28966	Solve for m	square root of m+6=9	$\sqrt{m + 6} = 9$
28967	Write in Standard Form	3x^2+2x^6-4x^4-1	$3 x^{2} + 2 x^{6} - 4 x^{4} - 1$
28968	Find the Exact Value	10-4÷2+3*4-1	$10 - 4 \div 2 + 3 \times 4 - 1$
28969	Convert to Polar	x^2+y^2=x	$x^{2} + y^{2} = x$
28970	Determine if Odd, Even, or Neither	f(x)=\|x+1\|+\|x-1\|	$f (x) = \| x + 1 \| + \| x - 1 \|$
28971	Find the Domain	(a+10)/(a(a-1))-1	$\frac{a + 10}{a (a - 1)} - 1$
28972	Solve the Rational Equation for x	(2x+1)/(4x-5)=3	$\frac{2 x + 1}{4 x - 5} = 3$
28973	Find the Exact Value	2sin(pi/4)+3tan(pi/4)	$2 \sin (\frac{π}{4}) + 3 \tan (\frac{π}{4})$
28974	Simplify	x/( square root of 3y)	$\frac{x}{\sqrt{3 y}}$
28975	Simplify	(5^3*3)^(1/3)	${(5^{3} \cdot 3)}^{\frac{1}{3}}$
28976	Find the Roots (Zeros)	P(I)=16I-0.04I^2	$P (I) = 16 I - 0.04 I^{2}$
28977	Evaluate	80% of 20	$80 %$ of $20$
28978	Solve the Inequality for x	2<x<=5	$2 < x \leq 5$
28979	Find dy/dx	2y^3-2-xy=5x^3	$2 y^{3} - 2 - x y = 5 x^{3}$
28980	Solve the Inequality for x	24<4x-3+5x+6	$24 < 4 x - 3 + 5 x + 6$
28981	Simplify the Radical Expression	sixth root of 6* cube root of 6^2	$\sqrt[6]{6} \cdot \sqrt[3]{6^{2}}$
28982	Find the Parabola with Focus (1,2) and Directrix y=6	(1,2) , y=6	$(1, 2)$ , $y = 6$
28983	Solve for x	square root of 8x+3=2 square root of 7x-3	$\sqrt{8 x + 3} = 2 \sqrt{7 x - 3}$
28984	Solve the Rational Equation for x	7/x+2/9=-5/(3x)	$\frac{7}{x} + \frac{2}{9} = - \frac{5}{3 x}$
28985	Solve for A in Degrees	-2tan(A)+2=4tan(A)+6	$- 2 \tan (A) + 2 = 4 \tan (A) + 6$
28986	Simplify	36c^5d^3(cd^2)^3	$36 c^{5} d^{3} {(c d^{2})}^{3}$
28987	Find Amplitude, Period, and Phase Shift	y=-2sin(3x-(3pi)/4)+2	$y = - 2 \sin (3 x - \frac{3 π}{4}) + 2$
28988	Simplify	(-ab)(a^2b)^2	$(- a b) {(a^{2} b)}^{2}$
28989	Solve the Inequality for a	2a>3b+1	$2 a > 3 b + 1$
28990	Simplify	(8b^-6c^3)/((2b^2c)^3)	$\frac{8 b^{- 6} c^{3}}{{(2 b^{2} c)}^{3}}$
28991	Evaluate the Summation	sum from x=1 to 4 of x^3+3x^2+3x+1	$\sum_{x = 1}^{4} x^{3} + 3 x^{2} + 3 x + 1$
28992	Find the Antiderivative	1+ square root of x	$1 + \sqrt{x}$
28993	Solve for x	2x+1-4=-2x-3	$2 x + 1 - 4 = - 2 x - 3$
28994	Find the Turning Points	p(x)=(x-7)(x+4)(x-2)	$p (x) = (x - 7) (x + 4) (x - 2)$
28995	Solve for B in Degrees	12tan(B)+5=5tan(B)+5	$12 \tan (B) + 5 = 5 \tan (B) + 5$
28996	Solve for y	2(x-3)+3y=0	$2 (x - 3) + 3 y = 0$
28997	Convert to Radical Form	(2x-5y)^(1/3)	${(2 x - 5 y)}^{\frac{1}{3}}$
28998	Simplify	(-3/4z^3)^2	${(\frac{- 3}{4} z^{3})}^{2}$
28999	Simplify	square root of a square root of a^3	$\sqrt{a} \sqrt{a^{3}}$
29000	Solve the System of Equations	-x-y=3 and 6x+2y=-30	$- x - y = 3$ and $6 x + 2 y = - 30$