Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18801	Simplify the Radical Expression	(-3)^(1/3)(-3)^(1/3)(-3)^(1/3)	${(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}}$
18802	Solve the System of Equations	y=-x^2+13x-40 x+y=5	$y = - x^{2} + 13 x - 40$ $x + y = 5$
18803	Solve for x	3^(165x-1)=( square root of k)^x	$3^{165 x - 1} = {(\sqrt{k})}^{x}$
18804	Graph	x<4 and x>-1	$x < 4$ and $x > - 1$
18805	Solve the Function Operation	f(x)=-x+2 ; find f(6)	$f (x) = - x + 2$ ; find $f (6)$
18806	Solve for x	cos(2x)^2=sin(x)^2	$\cos^{2} (2 x) = \sin^{2} (x)$
18807	Find the Axis of Symmetry	x=y^2	$x = y^{2}$
18808	Simplify	(-28a^6b^-3c^5)/(7a^11b^-5c^5)	$\frac{- 28 a^{6} b^{- 3} c^{5}}{7 a^{11} b^{- 5} c^{5}}$
18809	Solve for x	5(3(x+2)+4)+2x=67	$5 (3 (x + 2) + 4) + 2 x = 67$
18810	Evaluate the Function	g(1+h)=(1+h)^3	$g (1 + h) = {(1 + h)}^{3}$
18811	Simplify	2ab+4ac-5c+-6c+7ab	$2 a b + 4 a c - 5 c + - 6 c + 7 a b$
18812	Simplify	(2^(x+3)+2^(x+1)-2^x)/(2^x*2+2^x)	$\frac{2^{x + 3} + 2^{x + 1} - 2^{x}}{2^{x} \cdot 2 + 2^{x}}$
18813	Evaluate	3168*1/(2pi)	$3168 \cdot \frac{1}{2 π}$
18814	Graph	x^2+y^2-4y>0	$x^{2} + y^{2} - 4 y > 0$
18815	Find the Intersection	[-2,4] intersect [4,infinity)	$[- 2, 4] \cap [4, \infty)$
18816	Simplify	5^2*(5^6)/(5^-6)	$5^{2} \cdot \frac{5^{6}}{5^{- 6}}$
18817	Solve the Rational Equation for x	square root of x-8+ square root of x=4	$\sqrt{x - 8} + \sqrt{x} = 4$
18818	Simplify	3x^44x^-2x^3	$3 x^{4} \cdot 4 x^{- 2} \cdot x^{3}$
18819	Evaluate	(5p^2-3)+(2p^2-3p^3)	$(5 p^{2} - 3) + (2 p^{2} - 3 p^{3})$
18820	Find the Domain	s = square root of t-2t+6	$s = \sqrt{t} - 2 t + 6$
18821	Find the End Behavior	y=2x^3+3x^2-4x-6	$y = 2 x^{3} + 3 x^{2} - 4 x - 6$
18822	Solve by Graphing	-2x+4y=1 3x-6y=9	$- 2 x + 4 y = 1$ $3 x - 6 y = 9$
18823	Simplify	(n^2-7)(2n^3+4)	$(n^{2} - 7) (2 n^{3} + 4)$
18824	Find the Sum and Product of the Roots of the Quadratic Equation	1/2x^2-5/4x-3=0	$\frac{1}{2} x^{2} - \frac{5}{4} x - 3 = 0$
18825	Simplify	(a^(2/3)b-1/2)^-6	${(a^{\frac{2}{3}} b - \frac{1}{2})}^{- 6}$
18826	Solve for h	square root of h+3=7	$\sqrt{h + 3} = 7$
18827	Find the Roots (Zeros)	x^3+3x^2-9x=27	$x^{3} + 3 x^{2} - 9 x = 27$
18828	Find the Derivative of the Integral	g(x) = integral from 0 to x of 3t^2+2t with respect to t	$g (x) = \int_{0}^{x} 3 t^{2} + 2 t d t$
18829	Evaluate the Limit	limit as x approaches negative infinity of (4x+8)/(5x)	$lim_{x \to - \infty} \frac{4 x + 8}{5 x}$
18830	Divide	(33x^5y^3+12x^4y^4-27x^3y^5-3x^2y^6)/(3x^3y^4)	$\frac{33 x^{5} y^{3} + 12 x^{4} y^{4} - 27 x^{3} y^{5} - 3 x^{2} y^{6}}{3 x^{3} y^{4}}$
18831	Solve for x	1/5=5^(2x+3)	$\frac{1}{5} = 5^{2 x + 3}$
18832	Integrate Using u-Substitution	integral of (sin( natural log of x))/x with respect to x	$\int \frac{\sin (\ln (x))}{x} d x$
18833	Solve the Rational Equation for x	square root of x-2 = square root of 3x+5	$\sqrt{x - 2} = \sqrt{3 x + 5}$
18834	Find the LCD	5/(6x+18) and 4/(3x)	$\frac{5}{6 x + 18}$ and $\frac{4}{3 x}$
18835	Find the Degree	-8c-9c^4d^2	$- 8 c - 9 c^{4} d^{2}$
18836	Find the Absolute Max and Min over the Interval	f(x)=x^4-8x^2+2 on [-3,1]	$f (x) = x^{4} - 8 x^{2} + 2$ on $[- 3, 1]$
18837	Evaluate the Limit	limit as x approaches 3 from the left of (9-x^2)/(4x\|x-3\|)	$lim_{x \to 3^{-}} \frac{9 - x^{2}}{4 x \| x - 3 \|}$
18838	Simplify	(1/x-3)/(2+1/x)	$\frac{\frac{1}{x} - 3}{2 + \frac{1}{x}}$
18839	Solve for x	log base 4 of 5x^2+2 = log base 4 of x+8	$\log_{4} (5 x^{2} + 2) = \log_{4} (x + 8)$
18840	Multiply	(x^2-4x)/(x-1)*(x^2+3x-4)/(2x)	$\frac{x^{2} - 4 x}{x - 1} \cdot \frac{x^{2} + 3 x - 4}{2 x}$
18841	Solve the Inequality for x	square root of 5x-10+9=4	$\sqrt{5 x - 10} + 9 = 4$
18842	Multiply	-4/5*10/13	$\frac{- 4}{5} \cdot \frac{10}{13}$
18843	Solve the Rational Equation for m	1/(m^2-m)+1/m=5/(m^2-m)	$\frac{1}{m^{2} - m} + \frac{1}{m} = \frac{5}{m^{2} - m}$
18844	Expand Using the Binomial Theorem	(1-x/2)^8	${(1 - \frac{x}{2})}^{8}$
18845	Simplify	( square root of 90x^9y)/( square root of 2x^5y^5)	$\frac{\sqrt{90 x^{9} y}}{\sqrt{2 x^{5} y^{5}}}$
18846	Simplify	(( square root of 5a)*( square root of 2a))÷(3 square root of 10a^2)	$(\sqrt{5 a}) \cdot (\sqrt{2 a}) \div (3 \sqrt{10 a^{2}})$
18847	Evaluate the Integral	integral from 0 to pi/2 of (sin(x))/(1+cos(x)^2) with respect to x	$\int_{0}^{\frac{π}{2}} \frac{\sin (x)}{1 + \cos^{2} (x)} d x$
18848	Simplify	(sx^(1/2)ss^(1/2)x^8)^8	${(s x^{\frac{1}{2}} \cdot s \cdot s^{\frac{1}{2}} x^{8})}^{8}$
18849	Graph	x>=y+2 2x+y<4	$x \geq y + 2$ $2 x + y < 4$
18850	Evaluate the Integral	integral from 2 to infinity of 2e^(-2x-4) with respect to x	$\int_{2}^{\infty} 2 e^{- 2 x - 4} d x$
18851	Simplify	(b-c)/(a+b)-(ab-b^2)/(a^2-ac)*(a^2-c^2)/(a^2-b^2)	$\frac{b - c}{a + b} - \frac{a b - b^{2}}{a^{2} - a c} \cdot \frac{a^{2} - c^{2}}{a^{2} - b^{2}}$
18852	Solve Using the Square Root Property	2(x^2-7)-2=2	$2 (x^{2} - 7) - 2 = 2$
18853	Simplify	(x^2+4xy)/(x^2-16y^2)	$\frac{x^{2} + 4 x y}{x^{2} - 16 y^{2}}$
18854	Find the GCF	17xy-x	$17 x y - x$
18855	Solve for r	120=pir^2*5	$120 = π r^{2} \cdot 5$
18856	Factor	24c^4d+375cd^4	$24 c^{4} d + 375 c d^{4}$
18857	Evaluate	square root of 3*1/2	$\sqrt{3} \cdot \frac{1}{2}$
18858	Simplify	( square root of 9)/( square root of 8)	$\frac{\sqrt{9}}{\sqrt{8}}$
18859	Find All Complex Solutions	2(3x+5)=2(2x-3)+2x	$2 (3 x + 5) = 2 (2 x - 3) + 2 x$
18860	Write as a Single Logarithm	1/3* log base 4 of 8+ log base 4 of 15	$\frac{1}{3} \cdot \log_{4} (8) + \log_{4} (15)$
18861	Simplify	i^2-7	$i^{2} - 7$
18862	Add	(-4/5t+5/3s) and (-3-7/5s+2t)	$(- \frac{4}{5} t + \frac{5}{3} s)$ and $(- 3 - \frac{7}{5} s + 2 t)$
18863	Find dy/dx	x^2y-2=3y^2	$x^{2} y - 2 = 3 y^{2}$
18864	Find the Domain and Range	y=8*(1/4)^x-1	$y = 8 \cdot {(\frac{1}{4})}^{x} - 1$
18865	Solve the Inequality for v	v-1<3	$v - 1 < 3$
18866	Simplify the Radical Expression	square root of 75yz^2	$\sqrt{75 y z^{2}}$
18867	Find the Degree, Leading Term, and Leading Coefficient	(a^4)/7+a^3-9a^5	$\frac{a^{4}}{7} + a^{3} - 9 a^{5}$
18868	Evaluate	x^2=0	$x^{2} = 0$
18869	Evaluate the Limit	limit as x approaches 1 of ( cube root of x+ square root of x-2)/(x-1)	$lim_{x \to 1} \frac{\sqrt[3]{x} + \sqrt{x} - 2}{x - 1}$
18870	Divide	(x^3+2x^2)/(3x^2-1)	$\frac{x^{3} + 2 x^{2}}{3 x^{2} - 1}$
18871	Simplify	(16^(5/9)*5^(7/9))^-3	${(16^{\frac{5}{9}} \cdot 5^{\frac{7}{9}})}^{- 3}$
18872	Find dy/dx	-4y^2-2x^3=3+xy	$- 4 y^{2} - 2 x^{3} = 3 + x y$
18873	Factor	5(3x-4)^2+3(3x-4)(7x-8)	$5 {(3 x - 4)}^{2} + 3 (3 x - 4) (7 x - 8)$
18874	Evaluate the Function	A=[[2,-3],[-1,3]] , B=[[4,-2],[1,5]]	$A = [\begin{array}{c} 2 & - 3 \\ - 1 & 3 \end{array}]$ , $B = [\begin{array}{c} 4 & - 2 \\ 1 & 5 \end{array}]$
18875	Solve for y	10+3y-2=4y-y+8	$10 + 3 y - 2 = 4 y - y + 8$
18876	Simplify	3/8r-1/4r+2s	$\frac{3}{8} r - \frac{1}{4} r + 2 s$
18877	Simplify	2 cube root of 54x^4-x cube root of 250x	$2 \sqrt[3]{54 x^{4}} - x \sqrt[3]{250 x}$
18878	Evaluate the Limit	limit as x approaches 0 of -2e^(-2x^4-1/10)	$lim_{x \to 0} - 2 e^{- 2 x^{4} - \frac{1}{10}}$
18879	Simplify the Radical Expression	(x^6)^(1/2)	${(x^{6})}^{\frac{1}{2}}$
18880	Solve the Function Operation	f(x)=3x^2+4x-3 g(x)=x-6 Find: (fog)(x)	$f (x) = 3 x^{2} + 4 x - 3$ $g (x) = x - 6$ Find: $((f \circ g)) (x)$
18881	Solve by Completing the Square	1=x^2-3x	$1 = x^{2} - 3 x$
18882	Simplify	(-60x^8y^13)/((2x^2y^3)^5-12x^10y^15)	$\frac{- 60 x^{8} y^{13}}{{(2 x^{2} y^{3})}^{5} - 12 x^{10} y^{15}}$
18883	Graph	1/2 cube root of x+6	$\frac{1}{2} \sqrt[3]{x + 6}$
18884	Evaluate	log of 5x = log of 2x+9	$\log (5 x) = \log (2 x + 9)$
18885	Rationalize the Denominator	2/( square root of 5+1)	$\frac{2}{\sqrt{5 + 1}}$
18886	Evaluate the Integral	2/pi integral from -1 to 0 of 1/( square root of 1-x^2) with respect to x	$\frac{2}{π} \int_{- 1}^{0} \frac{1}{\sqrt{1 - x^{2}}} d x$
18887	Find the Derivative - d/dx	y = log of 1-4tan(x)	$y = \log (1 - 4 \tan (x))$
18888	Convert to Interval Notation	x<-10 or x>-2	$x < - 10$ or $x > - 2$
18889	Solve for x	cos(x)^2=sin(x/2)^2	$\cos^{2} (x) = \sin^{2} (\frac{x}{2})$
18890	Evaluate the Integral	integral of 5u^2(3+2u^3)^(2/3) with respect to u	$\int 5 u^{2} {(3 + 2 u^{3})}^{\frac{2}{3}} d u$
18891	Simplify	(3 square root of x)(4 cube root of x^2)	$(3 \sqrt{x}) (4 \sqrt[3]{x^{2}})$
18892	Simplify	(2a^(1/3)3b^(1/2))(a^(1/3)3b^(3/4))	$(2 a^{\frac{1}{3}} \cdot 3 b^{\frac{1}{2}}) (a^{\frac{1}{3}} \cdot 3 b^{\frac{3}{4}})$
18893	Factor by Grouping	ab-8a-bx+8x	$a b - 8 a - b x + 8 x$
18894	Solve for θ in Degrees	csc(theta)^2+2csc(theta)-24=0	$\csc^{2} (θ) + 2 \csc (θ) - 24 = 0$
18895	Simplify	(3x-1)/(x^2+2x-15)-2/(x+5)	$\frac{3 x - 1}{x^{2} + 2 x - 15} - \frac{2}{x + 5}$
18896	Find the Slope	(1,7) and (10,1)	$(1, 7)$ and $(10, 1)$
18897	Integrate Using u-Substitution	integral of (e^x)/(1+e^x) with respect to x	$\int \frac{e^{x}}{1 + e^{x}} d x$
18898	Solve the System of Equations	2x-3y+4z=19 x-2y+5z=16 3x-4y-z=14	$2 x - 3 y + 4 z = 19$ $x - 2 y + 5 z = 16$ $3 x - 4 y - z = 14$
18899	Evaluate the Limit	limit as x approaches 0 of (1-cos(x)+sin(x))/(1-cos(x)-sin(x))	$lim_{x \to 0} \frac{1 - \cos (x) + \sin (x)}{1 - \cos (x) - \sin (x)}$
18900	Find the Exact Value	tan(60)sec(30)+sin(45)^2tan(30)^2	$\tan (60) \sec (30) + \sin^{2} (45) \tan^{2} (30)$