Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
3101	Find the Antiderivative	natural log of x^2+1	$\ln (x^{2} + 1)$
3102	Find the Derivative - d/dx	(x^2+5)(3x+1)	$(x^{2} + 5) (3 x + 1)$
3103	Solve for x	log base 4 of x^2-x=1+ log base 4 of 5	$\log_{4} (x^{2} - x) = 1 + \log_{4} (5)$
3104	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 $- 3$ , $1$
3105	Evaluate	9x-7i>9x-21u	$9 x - 7 i > 9 x - 21 u$
3106	Find the Domain	x^2- square root of 1+x^2=2/( cube root of x^2-1)	$x^{2} - \sqrt{1 + x^{2}} = \frac{2}{\sqrt[3]{x^{2} - 1}}$
3107	Simplify	square root of 3(2- square root of 24)	$\sqrt{3} (2 - \sqrt{24})$
3108	Combine Like Terms	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
3109	Rationalize the Denominator	cube root of 5/(3x)	$\sqrt[3]{\frac{5}{3 x}}$
3110	Find the Third Derivative	7x^6-8x^4+5x^2+3	$7 x^{6} - 8 x^{4} + 5 x^{2} + 3$
3111	Find the Derivative - d/dx	y = square root of 4x	$y = \sqrt{4 x}$
3112	Simplify	a^2b^3(a^3+a^2b+b^2)	$a^{2} b^{3} (a^{3} + a^{2} b + b^{2})$
3113	Simplify	((2cd^4)^4)/((2c^2d^3)^2)	$\frac{{(2 c d^{4})}^{4}}{{(2 c^{2} d^{3})}^{2}}$
3114	Solve for x	square root of 3x = square root of 4x-1	$\sqrt{3 x} = \sqrt{4 x - 1}$
3115	Simplify	(-21x)/(-7+(-28x))	$\frac{- 21 x}{- 7 + (- 28 x)}$
3116	Simplify	(5v^4)^22v^3v	${(5 v^{4})}^{2} \cdot 2 v^{3} \cdot v$
3117	Solve for u	0.2u=-0.5+3(0.8u+0.9)	$0.2 u = - 0.5 + 3 (0.8 u + 0.9)$
3118	Simplify	(8n^4-2n+6n^3)-(8n^3+2n+7n^2)	$(8 n^{4} - 2 n + 6 n^{3}) - (8 n^{3} + 2 n + 7 n^{2})$
3119	Multiply	(4x^5+x^3-7x^2+2)(3x-1)	$(4 x^{5} + x^{3} - 7 x^{2} + 2) (3 x - 1)$
3120	Simplify the Radical Expression	cube root of a/(b^2)	$\sqrt[3]{\frac{a}{b^{2}}}$
3121	Convert from Radians to Degrees	(11pi)/6rad	$\frac{11 π}{6}$ radians
3122	Evaluate the Limit	limit as x approaches infinity of 1/x square root of 3+4x^2	$lim_{x \to \infty} \frac{1}{x} \sqrt{3 + 4 x^{2}}$
3123	Simplify	-1/2(32x-40)+(20x-4)	$- \frac{1}{2} (32 x - 40) + (20 x - 4)$
3124	Simplify the Radical Expression	( square root of x)^2	${(\sqrt{x})}^{2}$
3125	Simplify	(6- square root of 3)/(2+ square root of 7)	$\frac{6 - \sqrt{3}}{2 + \sqrt{7}}$
3126	Simplify	(10x^3yz^2)(-2xy^5z)	$(10 x^{3} y z^{2}) (- 2 x y^{5} z)$
3127	Graph	x-y<6 2x+y<6	$x - y < 6$ $2 x + y < 6$
3128	Find the Maximum/Minimum Value	f(x)=-4 square root of x+5+6	$f (x) = - 4 \sqrt{x + 5} + 6$
3129	Solve for j	-4j-14=-2j	$- 4 j - 14 = - 2 j$
3130	Simplify	(4/7m)^2(49m)(17p)(1/34p^5)	${(\frac{4}{7} m)}^{2} (49 m) (17 p) (\frac{1}{34} p^{5})$
3131	Simplify	(7v^2-4v^4+2)+(7v^2+3v+5)	$(7 v^{2} - 4 v^{4} + 2) + (7 v^{2} + 3 v + 5)$
3132	Simplify	((4p^4r^4)/(3p^2r^2))^3	${(\frac{4 p^{4} r^{4}}{3 p^{2} r^{2}})}^{3}$
3133	Solve for x	8^(x-2) = square root of 8	$8^{x - 2} = \sqrt{8}$
3134	Evaluate	8 square root of 8.41+1.8	$8 \sqrt{8.41} + 1.8$
3135	Solve for a	(8^-55)/(8^a)=8^-43	$\frac{8^{- 55}}{8^{a}} = 8^{- 43}$
3136	Solve for x	((y^(2x))/(y^6))^-1=(y^-3)^4	${(\frac{y^{2 x}}{y^{6}})}^{- 1} = {(y^{- 3})}^{4}$
3137	Factor	a(p-q)+q-p	$a (p - q) + q - p$
3138	Solve for c	square root of 6c+15=c+4	$\sqrt{6 c + 15} = c + 4$
3139	Evaluate the Integral	integral of (x+3)(x-2) with respect to x	$\int (x + 3) (x - 2) d x$
3140	Graph	y=(2x+3)(x-1)(x-4)	$y = (2 x + 3) (x - 1) (x - 4)$
3141	Simplify	( cube root of 2)^9	${(\sqrt[3]{2})}^{9}$
3142	Rationalize the Denominator	(3x)/( square root of 3)	$\frac{3 x}{\sqrt{3}}$
3143	Simplify	( cube root of x* square root of x^5)/( square root of 25x^16)	$\frac{\sqrt[3]{x} \cdot \sqrt{x^{5}}}{\sqrt{25 x^{16}}}$
3144	Find the Antiderivative	x/( square root of 1+x^2)	$\frac{x}{\sqrt{1 + x^{2}}}$
3145	Solve for h	v=1/3bh for h	$v = \frac{1}{3} b h$ for $h$
3146	Find the Absolute Max and Min over the Interval	f(x) = square root of x , 4<=x<=9	$f (x) = \sqrt{x}$ , $4 \leq x \leq 9$
3147	Simplify	sixth root of 2* square root of 2^5	$\sqrt[6]{2} \cdot \sqrt{2^{5}}$
3148	Simplify	( square root of 2- square root of 10)/( square root of 2+ square root of 10)	$\frac{\sqrt{2} - \sqrt{10}}{\sqrt{2} + \sqrt{10}}$
3149	Find the Exact Value	tan(arctan(7/6)+arctan(1/2))	$\tan (\arctan (\frac{7}{6}) + \arctan (\frac{1}{2}))$
3150	Find the Asymptotes	f(x)=-1/3*6^x+5	$f (x) = - \frac{1}{3} \cdot 6^{x} + 5$
3151	Solve for m	-7/9m=11/6	$- \frac{7}{9} m = \frac{11}{6}$
3152	Solve for d	(d^2)y=0	$(d^{2}) y = 0$
3153	Write as a Single Logarithm	(3 log of 2)/( log of 4+ log of 3)	$\frac{3 \log (2)}{\log (4) + \log (3)}$
3154	Simplify	( cube root of 5)/( cube root of 4x^2)	$\frac{\sqrt[3]{5}}{\sqrt[3]{4 x^{2}}}$
3155	Evaluate the Summation	sum from i=1 to infinity of 1/2(1/3)^(i-1)	$\sum_{i = 1}^{\infty} \frac{1}{2} {(\frac{1}{3})}^{i - 1}$
3156	Solve for x	4^(x+3)=2^(2(x+1))	$4^{x + 3} = 2^{2 (x + 1)}$
3157	Simplify	((a^2a^4)÷(a^-3))/(a÷((a^2a^3)^4))	$\frac{(a^{2} a^{4}) \div a^{- 3}}{a \div {(a^{2} a^{3})}^{4}}$
3158	Divide	(-1/3a^5b^4-1/2a^2b^4+2/5a^5b-5a^2b^3)÷(-5a^3b^2)	$(- \frac{1}{3} a^{5} b^{4} - \frac{1}{2} a^{2} b^{4} + \frac{2}{5} a^{5} b - 5 a^{2} b^{3}) \div (- 5 a^{3} b^{2})$
3159	Evaluate	5^(2- log base 5 of 5)	$5^{2 - \log_{5} (5)}$
3160	Find the Domain and Range	f(x)=1/2*e^(-x)-1	$f (x) = \frac{1}{2} \cdot e^{- x} - 1$
3161	Solve for x	tan(x)^5-9tan(x)=0	$\tan^{5} (x) - 9 \tan (x) = 0$
3162	Simplify	(w^4x^3)/(w^4x)	$\frac{w^{4} x^{3}}{w^{4} x}$
3163	Evaluate the Limit	limit as h approaches 0 of (3x^4h-5xh^2)/h	$lim_{h \to 0} \frac{3 x^{4} h - 5 x h^{2}}{h}$
3164	Solve for x	2(5x+z)=30x+3y+10	$2 (5 x + z) = 30 x + 3 y + 10$
3165	Find the Domain	F(x)=x/(x-3)	$F (x) = \frac{x}{x - 3}$
3166	Simplify	(7x^3-49x^2)/(7x^4)	$\frac{7 x^{3} - 49 x^{2}}{7 x^{4}}$
3167	Find the x and y Intercepts	f(x)=(3x)/4+3	$f (x) = \frac{3 x}{4} + 3$
3168	Rationalize the Denominator	2/( fourth root of 4y)	$\frac{2}{\sqrt[4]{4 y}}$
3169	Solve the System of Equations	y-5=(x-2)^2 x+2y=6	$y - 5 = {(x - 2)}^{2}$ $x + 2 y = 6$
3170	Convert to Radical Form	(8/27)^(-2/3)	${(\frac{8}{27})}^{\frac{- 2}{3}}$
3171	Find the Excluded Values	((x^2-16)/(x-2))÷((x^2+3x-4)/(x-8))	$\frac{x^{2} - 16}{x - 2} \div \frac{x^{2} + 3 x - 4}{x - 8}$
3172	Simplify	(9x^-4y^7)/(18x^6y^-2)*(3x^8)/(y^3)	$\frac{9 x^{- 4} y^{7}}{18 x^{6} y^{- 2}} \cdot \frac{3 x^{8}}{y^{3}}$
3173	Find the Antiderivative	2/x+3/(x^2)	$\frac{2}{x} + \frac{3}{x^{2}}$
3174	Simplify	square root of (48x^3)/(3xy^2)	$\sqrt{\frac{48 x^{3}}{3 x y^{2}}}$
3175	Solve for x	x+5=4^(3/2)	$x + 5 = 4^{\frac{3}{2}}$
3176	Add	pi+pi	$π + π$
3177	Solve the System of Equations	y+z=4 y-z=8	$y + z = 4$ $y - z = 8$
3178	Solve for a	4a^2-b^2=0	$4 a^{2} - b^{2} = 0$
3179	Find the Antiderivative	1/(2 square root of 2x+1)	$\frac{1}{2 \sqrt{2 x + 1}}$
3180	Solve by Substitution	9x-3y=-21 6x=2y-4	$9 x - 3 y = - 21$ $6 x = 2 y - 4$
3181	Simplify the Radical Expression	2 square root of 18+ square root of 2	$2 \sqrt{18} + \sqrt{2}$
3182	Solve for z	(5z)/8-1/3=2/5	$\frac{5 z}{8} - \frac{1}{3} = \frac{2}{5}$
3183	Solve for x	9x^4-16=0	$9 x^{4} - 16 = 0$
3184	Find the Excluded Values	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
3185	Solve for p	10/(p+2)=4/3	$\frac{10}{p + 2} = \frac{4}{3}$
3186	Simplify the Radical Expression	( square root of 15)/(5 square root of 20)	$\frac{\sqrt{15}}{5 \sqrt{20}}$
3187	Solve for θ in Degrees	csc(theta)=-1	$\csc (θ) = - 1$
3188	Simplify	2(48/3)^(-1/4)	$2 {(\frac{48}{3})}^{- \frac{1}{4}}$
3189	Simplify the Radical Expression	fifth root of (160m^6)/(n^7)	$\sqrt[5]{\frac{160 m^{6}}{n^{7}}}$
3190	Graph	yy<=-3x-5	$y \cdot y \leq - 3 x - 5$
3191	Convert to Meters	60.4mm	$60.4 mm$
3192	Simplify	(7x^4-5x^3+8x^2+9x-13)-(2x^4+6x^3-4x^2-x+4)	$(7 x^{4} - 5 x^{3} + 8 x^{2} + 9 x - 13) - (2 x^{4} + 6 x^{3} - 4 x^{2} - x + 4)$
3193	Simplify	x/(x-1)+1/(x^2-4)	$\frac{x}{x - 1} + \frac{1}{x^{2} - 4}$
3194	Simplify	18 square root of a^2*4 square root of a^3	$18 \sqrt{a^{2}} \cdot 4 \sqrt{a^{3}}$
3195	Solve by Graphing	x+2y=4 y=-1/2x+2	$x + 2 y = 4$ $y = - \frac{1}{2} x + 2$
3196	Solve for x	(3^8)*4=3^x	$(3^{8}) \cdot 4 = 3^{x}$
3197	Solve the Inequality for f	-7f>5	$- 7 f > 5$
3198	Solve by Substitution	x-2y=-6 4y=2x+12	$x - 2 y = - 6$ $4 y = 2 x + 12$
3199	Simplify	((16m^9n^3)/(2^6))^(1/3)	${(\frac{16 m^{9} n^{3}}{2^{6}})}^{\frac{1}{3}}$
3200	Simplify the Radical Expression	square root of 144(x+9)^10	$\sqrt{144 {(x + 9)}^{10}}$