Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
13801	Graph	-3x-(-4y)=-16	$- 3 x - (- 4 y) = - 16$
13802	Find the Concavity	f(x)=1/6x^4+x^3-10x^2	$f (x) = \frac{1}{6} x^{4} + x^{3} - 10 x^{2}$
13803	Divide	(225x^5y^3)÷15xy	$225 x^{5} y^{3} \div 15 x y$
13804	Rationalize the Denominator	square root of square root of 16r^4g^4p^4	$\sqrt{\sqrt{16 r^{4} g^{4} p^{4}}}$
13805	Solve the Function Operation	What is (f-g)(x) if f(x)=10x+4 and g(x)=7x+4 ?	What is $(f - g) (x)$ if $f (x) = 10 x + 4$ and $g (x) = 7 x + 4$ ?
13806	Solve for f	3(2 1/4+f)=12 3/4	$3 (2 \frac{1}{4} + f) = 12 \frac{3}{4}$
13807	Evaluate the Integral	integral of cos(x/1)^2-sin(x) with respect to x	$\int \cos^{2} (\frac{x}{1}) - \sin (x) d x$
13808	Expand the Trigonometric Expression	(1-cos(2x))/(sin(2x))	$\frac{1 - \cos (2 x)}{\sin (2 x)}$
13809	Simplify	square root of 15r^3* square root of 20r^2	$\sqrt{15 r^{3}} \cdot \sqrt{20 r^{2}}$
13810	Find the Derivative - d/dx	(1+x)^3	${(1 + x)}^{3}$
13811	Find the Domain	R(x)=(x^2-25)/(x^4-16)	$R (x) = \frac{x^{2} - 25}{x^{4} - 16}$
13812	Solve the Inequality for x	2x-y<3	$2 x - y < 3$
13813	Find the Exact Value	1^-10	$1^{- 10}$
13814	Find the Maximum/Minimum Value	f(x)=3 cube root of -x-2+6	$f (x) = 3 \sqrt[3]{- x - 2} + 6$
13815	Solve for k	64^(1/k)=2	$64^{\frac{1}{k}} = 2$
13816	Simplify	i^36i^20i^40	$i^{36} \cdot i^{20} \cdot i^{40}$
13817	Simplify	(1- square root of 3)/( square root of 3)	$\frac{1 - \sqrt{3}}{\sqrt{3}}$
13818	Graph	y>5 y>=x	$y > 5$ $y \geq x$
13819	Evaluate	(-t/3)^2	${(- \frac{t}{3})}^{2}$
13820	Graph	f(x)=(x^3-16x)/(-4x^2+4x+24)	$f (x) = \frac{x^{3} - 16 x}{- 4 x^{2} + 4 x + 24}$
13821	Find dy/dx	-xy^3=-y^2-3	$- x y^{3} = - y^{2} - 3$
13822	Simplify	cube root of square root of x^3	$\sqrt[3]{\sqrt{x^{3}}}$
13823	Evaluate	5(4+(6-3)^2)-9	$5 (4 + {(6 - 3)}^{2}) - 9$
13824	Solve for x	(3x)/(x-2)-(2x+3)/(x+4)=2/(x+4)	$\frac{3 x}{x - 2} - \frac{2 x + 3}{x + 4} = \frac{2}{x + 4}$
13825	Subtract	(4xy-13x^2y+7)-(7x^2y^2+12xy^2-3x^2y+11)	$(4 x y - 13 x^{2} y + 7) - (7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11)$
13826	Simplify	(5m)/3+3/(3m+15)	$\frac{5 m}{3} + \frac{3}{3 m + 15}$
13827	Graph	x-y>=2 2x+y>-3	$x - y \geq 2$ $2 x + y > - 3$
13828	Evaluate the Limit	limit as x approaches 0 of (x^2+2x)/( square root of x+9-3)	$lim_{x \to 0} \frac{x^{2} + 2 x}{\sqrt{x + 9} - 3}$
13829	Evaluate the Limit	limit as x approaches c of square root of f(x)	$lim_{x \to c} \sqrt{f (x)}$
13830	Solve for a	6/5=(3a+2)/(2a+3)	$\frac{6}{5} = \frac{3 a + 2}{2 a + 3}$
13831	Solve for f	265f+8=305	$265 f + 8 = 305$
13832	Evaluate the Function	F(-x)=(7x^2-1)/(x^2)	$F (- x) = \frac{7 x^{2} - 1}{x^{2}}$
13833	Evaluate	4-2pi+1/2	$4 - 2 π + \frac{1}{2}$
13834	Graph	x+y=1 3x+5y=15	$x + y = 1$ $3 x + 5 y = 15$
13835	Simplify	27x^2-5y^2+12y^2-14x^2	$27 x^{2} - 5 y^{2} + 12 y^{2} - 14 x^{2}$
13836	Solve the Inequality for g	10+g/-9>12	$10 + \frac{g}{- 9} > 12$
13837	Solve for y	x+y=7 x=4	$x + y = 7$ $x = 4$
13838	Solve for x	2x^2-28x=-98	$2 x^{2} - 28 x = - 98$
13839	Solve the Inequality for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$
13840	Solve for x	1/(2x-10)=(2x)/(x-5)+1/2	$\frac{1}{2 x - 10} = \frac{2 x}{x - 5} + \frac{1}{2}$
13841	Simplify	4y(8y+24)^-1	$4 y {(8 y + 24)}^{- 1}$
13842	Find the Integral	(3t-1)^3dt	${(3 t - 1)}^{3} d t$
13843	Find the Secant Given the Point	(-2, square root of 3)	$(- 2, \sqrt{3})$
13844	Simplify	(8-8i square root of 5)/(6+2i square root of 5)	$\frac{8 - 8 i \sqrt{5}}{6 + 2 i \sqrt{5}}$
13845	Convert to Interval Notation	-5<10c-1<74	$- 5 < 10 c - 1 < 74$
13846	Factor	20(x+6)^2-4(x+6)	$20 {(x + 6)}^{2} - 4 (x + 6)$
13847	Simplify	(csc(x)^2-1)/(csc(x)-1)	$\frac{\csc^{2} (x) - 1}{\csc (x) - 1}$
13848	Simplify	(-4x-16)/8	$\frac{- 4 x - 16}{8}$
13849	Simplify the Radical Expression	square root of 12-5 cube root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt[3]{8} - 7 \sqrt{20}$
13850	Simplify	fourth root of 10^2a^18	$\sqrt[4]{10^{2} a^{18}}$
13851	Solve the Rational Equation for x	square root of 2x=10	$\sqrt{2 x} = 10$
13852	Divide	(6 square root of 28)/(3 square root of 4)	$\frac{6 \sqrt{28}}{3 \sqrt{4}}$
13853	Find the Reference Angle	sec(120 degrees )	$\sec (120 °)$
13854	Determine if a Polynomial	4z^5-x^-4	$4 z^{5} - x^{- 4}$
13855	Solve for x	sec((2pi)/3+x)=2	$\sec (\frac{2 π}{3} + x) = 2$
13856	Solve the Inequality for x	-3(x+4)-2>=2x+6	$- 3 (x + 4) - 2 \geq 2 x + 6$
13857	Write the Fraction in Simplest Form	(16 square root of x^3)^(1/4)	${(16 \sqrt{x^{3}})}^{\frac{1}{4}}$
13858	Evaluate the Integral	integral of (2x^2-5x-2)/((x-2)^2(x-1)) with respect to x	$\int \frac{2 x^{2} - 5 x - 2}{{(x - 2)}^{2} (x - 1)} d x$
13859	Simplify the Radical Expression	cube root of 216/16	$\sqrt[3]{\frac{216}{16}}$
13860	Simplify	( square root of 15)/( square root of 9+6)	$\frac{\sqrt{15}}{\sqrt{9} + 6}$
13861	Convert to Radical Form	(2k^2)^(-2/7)	${(2 k^{2})}^{- \frac{2}{7}}$
13862	Solve for x	(2x-3)^3=-216	${(2 x - 3)}^{3} = - 216$
13863	Solve the Inequality for z	3/5z>3/4	$\frac{3}{5} z > \frac{3}{4}$
13864	Evaluate	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
13865	Factor	(x+y)a+(x+y)b+(x+y)c	$(x + y) a + (x + y) b + (x + y) c$
13866	Add	(10-22i)+(22i)	$(10 - 22 i) + (22 i)$
13867	Find the Degree, Leading Term, and Leading Coefficient	-x^3+1/5	$- x^{3} + \frac{1}{5}$
13868	Graph	y<-6x-24 y<6x+6	$y < - 6 x - 24$ $y < 6 x + 6$
13869	Graph	x<4 y>1 y>=-x+1	$x < 4$ $y > 1$ $y \geq - x + 1$
13870	Write in Slope-Intercept Form	2x+y>=6	$2 x + y \geq 6$
13871	Write in Slope-Intercept Form	2x+y>4	$2 x + y > 4$
13872	Solve for x	natural log of x- natural log of 3x-3 = natural log of 4	$\ln (x) - \ln (3 x - 3) = \ln (4)$
13873	Find the Excluded Values	(x^2-5x+6)/(x^2-4)*(x^2+3x+2)/(x^2-2x-3)	$\frac{x^{2} - 5 x + 6}{x^{2} - 4} \cdot \frac{x^{2} + 3 x + 2}{x^{2} - 2 x - 3}$
13874	Find the Slope	(-5,7) and (3,-1)	$(- 5, 7)$ and $(3, - 1)$
13875	Convert to Radical Form	(5^(1/8)*5^(3/8))^3	${(5^{\frac{1}{8}} \cdot 5^{\frac{3}{8}})}^{3}$
13876	Solve for h	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
13877	Simplify the Radical Expression	eighth root of 16a^12b^4	$\sqrt[8]{16 a^{12} b^{4}}$
13878	Find the Antiderivative	(2x-13)/((x+1)(x-2))	$\frac{2 x - 13}{(x + 1) (x - 2)}$
13879	Solve for x	2 fifth root of 5x+2-1=3	$2 \sqrt[5]{5 x + 2} - 1 = 3$
13880	Find Where Increasing/Decreasing	f(x)=2/5x^5+4x^4+10x^3+49	$f (x) = \frac{2}{5} x^{5} + 4 x^{4} + 10 x^{3} + 49$
13881	Simplify	(6- square root of 2)/(4-3 square root of 2)	$\frac{6 - \sqrt{2}}{4 - 3 \sqrt{2}}$ ?
13882	Solve the Function Operation	f(x)=10x^(1/3) ; find f^-1(x)	$f (x) = 10 x^{\frac{1}{3}}$ ; find $f^{- 1} (x)$
13883	Find the Exact Value	15*15	$15 \cdot 15$
13884	Solve for x	solve 3^(x-2)=3^7	solve $3^{x - 2} = 3^{7}$
13885	Solve for x	(x+2)(x+3)=x^2+5x+6	$(x + 2) (x + 3) = x^{2} + 5 x + 6$
13886	Find the Antiderivative	f(x)=xe^x	$f (x) = x e^{x}$
13887	Simplify	((3c)/(4a^2bc^2))^2	${(\frac{3 c}{4 a^{2} b c^{2}})}^{2}$
13888	Simplify	(-1/x)(1-x)/(1+x)x/(x^2-1)	$(- \frac{1}{x}) \times \frac{1 - x}{1 + x} \times \frac{x}{x^{2} - 1}$
13889	Rationalize the Denominator	(-2 square root of 7+5 square root of 2)/( square root of 3r)	$\frac{- 2 \sqrt{7} + 5 \sqrt{2}}{\sqrt{3 r}}$
13890	Add	4/(x+5)+(2x)/(x^2-25)	$\frac{4}{x + 5} + \frac{2 x}{x^{2} - 25}$
13891	Solve for x	1/4(12-4x)=3-x	$\frac{1}{4} (12 - 4 x) = 3 - x$
13892	Evaluate the Summation	sum from x=4 to 12 of 1/4*3^(k-1)	$\sum_{x = 4}^{12} \frac{1}{4} \cdot 3^{k - 1}$
13893	Solve for x in Radians	2sin(2x)+ square root of 3=0	$2 \sin (2 x) + \sqrt{3} = 0$
13894	Expand Using the Binomial Theorem	(1+x/4)^8	${(1 + \frac{x}{4})}^{8}$
13895	Solve the System of Equations	1/2x=10-1/2y 8=x-y	$\frac{1}{2} x = 10 - \frac{1}{2} y$ $8 = x - y$
13896	Graph	y=-2x^3+3x+1	$y = - 2 x^{3} + 3 x + 1$
13897	Multiply	-2/9(-5/3)	$- \frac{2}{9} (- \frac{5}{3})$
13898	Solve for k	-12=19k-4k+3	$- 12 = 19 k - 4 k + 3$
13899	Evaluate the Limit	limit as x approaches -4 of ((x+7)^4)/(x+1)	$lim_{x \to - 4} \frac{{(x + 7)}^{4}}{x + 1}$
13900	Simplify	(6y-3)/(5y)-(y+2)/(5y)	$\frac{6 y - 3}{5 y} - \frac{y + 2}{5 y}$