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Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42801	Find the Derivative - d/dx	d/(dx)(f(x)g(x))	$\frac{d}{d x} (f (x) g (x))$
42802	Find the Inverse	10x^(1/3)-6	$10 x^{\frac{1}{3}} - 6$
42803	Find the Exact Value	csc(pi/2)-cos(pi/2)	$\csc (\frac{π}{2}) - \cos (\frac{π}{2})$
42804	Evaluate the Integral	integral from pi/6 to pi/2 of 7cot(x)^2 with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{2}} 7 \cot^{2} (x) d x$
42805	Find the Roots (Zeros)	(x^2+1)(x^3+2x)(x^2-64)=0	$(x^{2} + 1) (x^{3} + 2 x) (x^{2} - 64) = 0$
42806	Simplify the Radical Expression	( square root of 27x^5)/( square root of 3x^3)	$\frac{\sqrt{27 x^{5}}}{\sqrt{3 x^{3}}}$
42807	Simplify	square root of 45x^2+9x^3+2x square root of 20+4x+ square root of 5x^2+x^3	$\sqrt{45 x^{2} + 9 x^{3}} + 2 x \sqrt{20 + 4 x} + \sqrt{5 x^{2} + x^{3}}$
42808	Simplify	(11y+13)/(3y-3)+(15y+17)/(4-4y)	$\frac{(11 y + 13)}{3 y - 3} + \frac{(15 y + 17)}{4 - 4 y}$
42809	Solve for x	-(-x+1)=x-1	$- (- x + 1) = x - 1$
42810	Solve by Addition/Elimination	-9x+y=10 10x-y=-9	$- 9 x + y = 10$ $10 x - y = - 9$
42811	Solve the Inequality for x	y>2x+3	$y > 2 x + 3$
42812	Solve for f	Solve the following equation: 3/5f=2 1/5	Solve the following equation: $\frac{3}{5} f = 2 \frac{1}{5}$
42813	Solve Using the Quadratic Formula	7-8z^2=6z+16	$7 - 8 z^{2} = 6 z + 16$
42814	Simplify	4k^2(6k^2+9kq-5q^2)	$4 k^{2} (6 k^{2} + 9 k q - 5 q^{2})$
42815	Write the Fraction in Simplest Form	(-2/5)^2	${(- \frac{2}{5})}^{2}$
42816	Divide Using Long Polynomial Division	(9x^2+3x^3-14)÷(x^2+x-3)	$(9 x^{2} + 3 x^{3} - 14) \div (x^{2} + x - 3)$
42817	Graph	(x-3)^2-2=x+1	${(x - 3)}^{2} - 2 = x + 1$
42818	Simplify	3x^-2y^4*4x^-2	$3 x^{- 2} y^{4} \cdot 4 x^{- 2}$
42819	Simplify the Radical Expression	1/(3- square root of 11)	$\frac{1}{3 - \sqrt{11}}$
42820	Find the Holes in the Graph	(2x^2-3x+1)/(2x+16)	$\frac{2 x^{2} - 3 x + 1}{2 x + 16}$
42821	Solve for x	-2/x=-5/(x-6)	$- \frac{2}{x} = - \frac{5}{x - 6}$
42822	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-1) and has a slope of 1 ?	What is the equation of the line that passes through the point $(- 2, - 1)$ and has a slope of $1$ ?
42823	Simplify	1/( square root of x^2-4)	$\frac{1}{\sqrt{x^{2} - 4}}$
42824	Find dy/dx	5-2x^2+y^3+y^2=x	$5 - 2 x^{2} + y^{3} + y^{2} = x$
42825	Solve the Inequality for x	5^(3-2x)=5^(-x)	$5^{3 - 2 x} = 5^{- x}$
42826	Write in Slope-Intercept Form	y+2x>3	$y + 2 x > 3$
42827	Evaluate	(7+\|-8-5^2\|)/((1-4)^3+17)	$\frac{7 + \| - 8 - 5^{2} \|}{{(1 - 4)}^{3} + 17}$
42828	Convert to a Decimal	-630deg	$- 630$ degrees
42829	Solve the Absolute Value Inequality for x	3-5\|10-4x\|=-57	$3 - 5 \| 10 - 4 x \| = - 57$
42830	Simplify	(3n^3-5n+n^2)-(-8n^2+3n^3)	$(3 n^{3} - 5 n + n^{2}) - (- 8 n^{2} + 3 n^{3})$
42831	Solve the Inequality for x	6x^2+4x+4<-x+8	$6 x^{2} + 4 x + 4 < - x + 8$
42832	Evaluate	-3 3/4+1/2	$- 3 \frac{3}{4} + \frac{1}{2}$
42833	Solve for x	2x^2=x+3	$2 x^{2} = x + 3$
42834	Combine Like Terms	3/4x-7.3+5/4x+21.3	$\frac{3}{4} x - 7.3 + \frac{5}{4} x + 21.3$
42835	Solve the Rational Equation for x	4x^(3/2)=32	$4 x^{\frac{3}{2}} = 32$
42836	Find Where Undefined/Discontinuous	f(x)=(x-2)/(\|x-1\|)	$f (x) = \frac{x - 2}{\| x - 1 \|}$
42837	Simplify	-5/(2 square root of 5)	$- \frac{5}{2 \sqrt{5}}$
42838	Simplify	( square root of 5+x)/( square root of 5+ square root of x)	$\frac{\sqrt{5 + x}}{\sqrt{5} + \sqrt{x}}$
42839	Add	(7x^2-5x)+(2x^2-x)	$(7 x^{2} - 5 x) + (2 x^{2} - x)$
42840	Solve for x	f(-x)=3x^2+2x-2	$f (- x) = 3 x^{2} + 2 x - 2$
42841	Simplify	(x-b)^5+(b-a)^5	${(x - b)}^{5} + {(b - a)}^{5}$
42842	Find the Product	(x-y)(2x-y)	$(x - y) (2 x - y)$
42843	Find the Degree, Leading Term, and Leading Coefficient	p(x)=(2x+2)(5x-2)(x+3)	$p (x) = (2 x + 2) (5 x - 2) (x + 3)$
42844	Find the Domain	\|3-x\|-\|x-4\|	$\| 3 - x \| - \| x - 4 \|$
42845	Find the Derivative - d/dy	1/( square root of y)	$\frac{1}{\sqrt{y}}$
42846	Simplify	(8^(5/2))/(8^(1/2))	$\frac{8^{\frac{5}{2}}}{8^{\frac{1}{2}}}$
42847	Find the x and y Intercepts	f(x)=(x+2)(x-1)(x-(4+3i))(x-(4-3i))	$f (x) = (x + 2) (x - 1) (x - (4 + 3 i)) (x - (4 - 3 i))$
42848	Round to the Nearest Hundredth	2/9	$\frac{2}{9}$
42849	Find the Domain of the Composition f(g(x))	f(x)=6/(x+8) , g(x)=x+1	$f (x) = \frac{6}{x + 8}$ , $g (x) = x + 1$
42850	Simplify the Radical Expression	2/(3 square root of 5)	$\frac{2}{3 \sqrt{5}}$
42851	Solve for x	(6x-9)/3=x/9	$\frac{6 x - 9}{3} = \frac{x}{9}$
42852	Simplify	(1+x square root of 2)^2	${(1 + x \sqrt{2})}^{2}$
42853	Simplify the Radical Expression	i^23	$i^{23}$
42854	Simplify	3 square root of 12ab^2+3b square root of 75a-3 square root of 27ab^2	$3 \sqrt{12 a b^{2}} + 3 b \sqrt{75 a} - 3 \sqrt{27 a b^{2}}$
42855	Find the Exact Value	(43+7^2)/(2^2)	$\frac{(43 + 7^{2})}{2^{2}}$
42856	Solve for x	log base 2 of x+3+ log base 4 of 5-x=3	$\log_{2} (x + 3) + \log_{4} (5 - x) = 3$
42857	Simplify	((a^2-4ab+4b^2)/(a^2+2ab))((a^2)/(a^2-4b^2))	$(\frac{a^{2} - 4 a b + 4 b^{2}}{a^{2} + 2 a b}) (\frac{a^{2}}{a^{2} - 4 b^{2}})$
42858	Simplify	2x cube root of 8x^5+x^2 cube root of 27x^2	$2 x \sqrt[3]{8 x^{5}} + x^{2} \sqrt[3]{27 x^{2}}$
42859	Add	(8x-x^3+4-9x^2)+(7x^3+9x^2-10-8x)	$(8 x - x^{3} + 4 - 9 x^{2}) + (7 x^{3} + 9 x^{2} - 10 - 8 x)$
42860	Simplify	(x^5y^8)^5(4xy)	${(x^{5} y^{8})}^{5} (4 x y)$
42861	Solve for x	6/5=2/(5x)	$\frac{6}{5} = \frac{2}{5 x}$
42862	Write with Rational (Fractional) Exponents	seventh root of x^-6	$\sqrt[7]{x^{- 6}}$
42863	Factor by Grouping	(a+3)^2-a(a+3)	${(a + 3)}^{2} - a (a + 3)$
42864	Evaluate	25% of 8	$25 %$ of $8$
42865	Evaluate the Limit	limit as x approaches 200 from the left of (3-0.015x)^2	$lim_{x \to 200^{-}} {(3 - 0.015 x)}^{2}$
42866	Simplify	(8b+y)/(40b)-(6y+b)/(30y)	$\frac{8 b + y}{40 b} - \frac{6 y + b}{30 y}$
42867	Solve Using the Quadratic Formula	8x+5=36x^2	$8 x + 5 = 36 x^{2}$
42868	Simplify	square root of 5x^3* square root of 12x^6	$\sqrt{5 x^{3}} \cdot \sqrt{12 x^{6}}$
42869	Evaluate	5(2c-3)=3(3c-5)	$5 (2 c - 3) = 3 (3 c - 5)$
42870	Simplify	2x^3y^-7*3x^-2y^2	$2 x^{3} y^{- 7} \cdot 3 x^{- 2} y^{2}$
42871	Factor	343n+125nz^3	$343 n + 125 n z^{3}$
42872	Simplify the Radical Expression	( square root of 15)/( square root of 3)	$\frac{\sqrt{15}}{\sqrt{3}}$
42873	Find the Excluded Values	40/(x-4)+7=3/(x-4)	$\frac{40}{x - 4} + 7 = \frac{3}{x - 4}$
42874	Solve by Addition/Elimination	11x-20y=28 and 3x+4y=36	$11 x - 20 y = 28$ and $3 x + 4 y = 36$
42875	Solve the Inequality for m	-(2+2m)-2>6	$- (2 + 2 m) - 2 > 6$
42876	Simplify	(6m)/(5a)*(15a)/(2m)	$\frac{6 m}{5 a} \cdot \frac{15 a}{2 m}$
42877	Solve the Rational Equation for x	(x-2)^(2/3)=16	${(x - 2)}^{\frac{2}{3}} = 16$
42878	Solve for x	square root of x- square root of x-5=2	$\sqrt{x} - \sqrt{x - 5} = 2$
42879	Evaluate	(x*y)^-3	${(x \cdot y)}^{- 3}$
42880	Graph	y = square root of 1/3x	$y = \sqrt{\frac{1}{3}} x$
42881	Solve the Rational Equation for k	square root of -3-k=2	$\sqrt{- 3 - k} = 2$
42882	Multiply	(x^2+4x-21)*(x-3)	$(x^{2} + 4 x - 21) \cdot (x - 3)$
42883	Solve the Inequality for x	3x=15	$3 x = 15$
42884	Find the Domain	h(z)=z^5+z^-5	$h (z) = z^{5} + z^{- 5}$
42885	Convert from Radians to Degrees	4/(3pi)	$\frac{4}{3 π}$
42886	Graph	x\|x\|>=0	$x \| x \| \geq 0$
42887	Add	4/5+6/(5x)	$\frac{4}{5} + \frac{6}{5 x}$
42888	Simplify	(5s^5+7s^4+7s+3)+(7s^5-7s^4)	$(5 s^{5} + 7 s^{4} + 7 s + 3) + (7 s^{5} - 7 s^{4})$
42889	Solve for n	n=3 , a=-216	$n = 3$ , $a = - 216$
42890	Evaluate Using the Given Value	n^2-m ; use m=7 ; and n=8	$n^{2} - m$ ; use $m = 7$ ; and $n = 8$
42891	Convert to Trigonometric Form	cos(pi/3)	$\cos (\frac{π}{3})$
42892	Find the Antiderivative	natural log of (x)^3	$\ln ({(x)}^{3})$
42893	Solve for x	log base 5 of 125- log base 5 of square root of 5 = log base 5 of x	$\log_{5} (125) - \log_{5} (\sqrt{5}) = \log_{5} (x)$
42894	Find the Exact Value	(3^-4)/3	$\frac{3^{- 4}}{3}$
42895	Evaluate Using the Given Value	Evaluate (3x+2y)/(2xy) when x=-1 and y=1	Evaluate $\frac{3 x + 2 y}{2 x y}$ when $x = - 1$ and $y = 1$
42896	Write the Fraction in Simplest Form	(4^-3a^0)/(b^-7)	$\frac{4^{- 3} a^{0}}{b^{- 7}}$
42897	Evaluate	fifth root of 10^2* sixth root of 10^5	$\sqrt[5]{10^{2}} \cdot \sqrt[6]{10^{5}}$
42898	Simplify	(4b^3*3a^4b^2)/(3a^-2b^4)	$\frac{4 b^{3} \cdot 3 a^{4} b^{2}}{3 a^{- 2} b^{4}}$
42899	Simplify	fifth root of p^11 square root of p^7	$\sqrt[5]{p^{11}} \sqrt{p^{7}}$
42900	Find the End Behavior	f(x)=x^5-3x^3+x	$f (x) = x^{5} - 3 x^{3} + x$