Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
20101	Graph	-3x>4y	$- 3 x > 4 y$
20102	Solve for c	(c-2)(c+8)=7	$(c - 2) (c + 8) = 7$
20103	Multiply	x(3x^2-4x-4)	$x (3 x^{2} - 4 x - 4)$
20104	Solve for w	u-5=-4(w-1)	$u - 5 = - 4 (w - 1)$
20105	Simplify	(22233)/(2223333)	$\frac{2 \cdot 2 \cdot 2 \cdot 3 \cdot 3}{2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3}$
20106	Evaluate the Integral	integral of (2-6 square root of x)/(8 fourth root of x) with respect to x	$\int \frac{2 - 6 \sqrt{x}}{8 \sqrt[4]{x}} d x$
20107	Solve for n	-6+7*10^(2n-5)=78	$- 6 + 7 \cdot 10^{2 n - 5} = 78$
20108	Evaluate	f^-3(f^2)(f^-3)	$f^{- 3} (f^{2}) (f^{- 3})$
20109	Solve by Substitution	4x=2y+6 y=2x-3	$4 x = 2 y + 6$ $y = 2 x - 3$
20110	Solve for x	3x+3y=4 and x-3y=1	$3 x + 3 y = 4$ and $x - 3 y = 1$
20111	Find the Domain	(5+3x)/( square root of 2-x)	$\frac{5 + 3 x}{\sqrt{2 - x}}$
20112	Simplify	(6j^2k-9jk^2)÷3jk	$(6 j^{2} k - 9 j k^{2}) \div 3 j k$
20113	Solve the Function Operation	f(x)=(x+9)^(1/2) ; find f^-1(x)	$f (x) = {(x + 9)}^{\frac{1}{2}}$ ; find $f^{- 1} (x)$
20114	Graph	y>=(x-2)^2-1	$y \geq {(x - 2)}^{2} - 1$
20115	Solve for x	3x+2>(3x-6)/3	$3 x + 2 > \frac{3 x - 6}{3}$
20116	Write in Slope-Intercept Form	(-4,-6) and (3,8)	$(- 4, - 6)$ and $(3, 8)$
20117	Simplify	(3x+1)(x-1)(x+2)(2x+5)	$(3 x + 1) (x - 1) (x + 2) (2 x + 5)$
20118	Simplify the Radical Expression	7 square root of 2+3 square root of 2+ square root of 2	$7 \sqrt{2} + 3 \sqrt{2} + \sqrt{2}$
20119	Simplify	(x^3+2x^2-x+4)-(x^3-3x^2+3)	$(x^{3} + 2 x^{2} - x + 4) - (x^{3} - 3 x^{2} + 3)$
20120	Solve for x	9+5 cube root of 2x=29	$9 + 5 \sqrt[3]{2 x} = 29$
20121	Evaluate	75% of 60	$75 %$ of $60$
20122	Evaluate	(9c^3)/(c^-4)	$\frac{9 c^{3}}{c^{- 4}}$
20123	Find the Domain and Range	( square root of x^2-2x+1)/(x-1)	$\frac{\sqrt{x^{2} - 2 x + 1}}{x - 1}$
20124	Evaluate the Integral	integral of (4sin(x))/(3+cos(x)) with respect to x	$\int \frac{4 \sin (x)}{3 + \cos (x)} d x$
20125	Evaluate the Limit	limit as x approaches 3 of (x^3-4x^2+3x)/(9-x^2)	$lim_{x \to 3} \frac{x^{3} - 4 x^{2} + 3 x}{9 - x^{2}}$
20126	Evaluate	(2x-1)/6=(4x+1)/12+(2x+2)/(2x+1)	$\frac{2 x - 1}{6} = \frac{4 x + 1}{12} + \frac{2 x + 2}{2 x + 1}$
20127	Evaluate	2(3/4n+8+1/4n-12)	$2 (\frac{3}{4} n + 8 + \frac{1}{4} n - 12)$
20128	Solve by Addition/Elimination	8x=12 2y+10=22	$8 x = 12$ $2 y + 10 = 22$
20129	Add	2/12+2/4	$\frac{2}{12} + \frac{2}{4}$
20130	Simplify	fourth root of 3x^3y^2* fourth root of 27xy^2	$\sqrt[4]{3 x^{3} y^{2}} \times \sqrt[4]{27 x y^{2}}$
20131	Simplify	(2x^3y^3)^3*(-x^2y)^4	${(2 x^{3} y^{3})}^{3} \cdot {(- x^{2} y)}^{4}$
20132	Solve for x	-1/10x^3+100=0	$- \frac{1}{10} x^{3} + 100 = 0$
20133	Write the Fraction in Simplest Form	((2j^3p)^-1)/(10j^6)	$\frac{{(2 j^{3} p)}^{- 1}}{10 j^{6}}$
20134	Expand Using Sum/Difference Formulas	3(2x+1)+2(x+4)	$3 (2 x + 1) + 2 (x + 4)$
20135	Find All Complex Solutions	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
20136	Evaluate the Function	v(3/2)=4/3pir^3	$v (\frac{3}{2}) = \frac{4}{3} π r^{3}$
20137	Solve for x	9/(6x-9)=x/(2x-3)-1/3	$\frac{9}{6 x - 9} = \frac{x}{2 x - 3} - \frac{1}{3}$
20138	Graph	f(x)=(x^2+9x+20)/(4x+20)	$f (x) = \frac{x^{2} + 9 x + 20}{4 x + 20}$
20139	Determine if a Polynomial	5p^2+9p^3+ square root of p	$5 p^{2} + 9 p^{3} + \sqrt{p}$
20140	Find the Domain	f(x)=1/4\|x\|	$f (x) = \frac{1}{4} \| x \|$
20141	Solve the Inequality for x	x/2+1<=3x+2	$\frac{x}{2} + 1 \leq 3 x + 2$
20142	Solve the System of Equations	x^2+4y^2=36 x+2y=6	$x^{2} + 4 y^{2} = 36$ $x + 2 y = 6$
20143	Divide	(x^3+x^2+3x-4)÷(x^2+2x+1)	$(x^{3} + x^{2} + 3 x - 4) \div (x^{2} + 2 x + 1)$
20144	Multiply	6 square root of 4*2 square root of 5	$6 \sqrt{4} \cdot 2 \sqrt{5}$
20145	Solve the Inequality for x	-4<=4(2-x)+2x<10	$- 4 \leq 4 (2 - x) + 2 x < 10$
20146	Find the Derivative - d/dh	(h^3-5)(3h^2-5h-4)	$(h^{3} - 5) (3 h^{2} - 5 h - 4)$
20147	Solve for y	2x+2y=6y	$2 x + 2 y = 6 y$
20148	Find the Roots (Zeros)	h(x)=5x^4+7x^8-x^12	$h (x) = 5 x^{4} + 7 x^{8} - x^{12}$
20149	Find the Derivative - d/dx	e^(e^(x^2))	$e^{e^{x^{2}}}$
20150	Multiply	(x^2+8x+15)/(-5x-5)*(x^2+2x+1)/(2x+10)	$\frac{x^{2} + 8 x + 15}{- 5 x - 5} \cdot \frac{x^{2} + 2 x + 1}{2 x + 10}$
20151	Find Where Increasing/Decreasing	x+1/x	$x + \frac{1}{x}$
20152	Evaluate	2+5*4-8÷(4/5)	$2 + 5 \cdot 4 - 8 \div \frac{4}{5}$
20153	Evaluate Using the Given Value	y^2-x ; use x=7 ; and y=7	$y^{2} - x$ ; use $x = 7$ ; and $y = 7$
20154	Find dy/dx	y=(7^x)/2	$y = \frac{7^{x}}{2}$
20155	Solve for m	30=20+50*10^(-0.04m)	$30 = 20 + 50 \cdot 10^{- 0.04 m}$
20156	Find All Complex Solutions	1/x+1/(x-3)=(x-2)/(x-3)	$\frac{1}{x} + \frac{1}{x - 3} = \frac{x - 2}{x - 3}$
20157	Graph	1/2\|x-3\|+4<6	$\frac{1}{2} \| x - 3 \| + 4 < 6$
20158	Simplify	(x^(2/3)-x^(1/3))(x^(2/3)+x^(1/3))	$(x^{\frac{2}{3}} - x^{\frac{1}{3}}) (x^{\frac{2}{3}} + x^{\frac{1}{3}})$
20159	Simplify	20a+18b-(-5a)-(-25b)	$20 a + 18 b - (- 5 a) - (- 25 b)$
20160	Find the Roots (Zeros)	r(x)=8/3x-16	$r (x) = \frac{8}{3} x - 16$
20161	Find the Antiderivative	(5+2x^4)/(x^2)	$\frac{5 + 2 x^{4}}{x^{2}}$
20162	Simplify	-6/7*(3x-10)/(3x-5)	$- \frac{6}{7} \cdot \frac{3 x - 10}{3 x - 5}$
20163	Find the Degree	f(x)=3(x+2)	$f (x) = 3 (x + 2)$
20164	Solve the Inequality for x	(x+8)^2(x+5)(x+7)^2>=0	${(x + 8)}^{2} (x + 5) {(x + 7)}^{2} \geq 0$
20165	Solve the System of Inequalities	y<=-2x-2 y>1/2x+8	$y \leq - 2 x - 2$ $y > \frac{1}{2} x + 8$
20166	Simplify	(2x)/(x^2-36)+(x+4)/(x+6)	$\frac{2 x}{x^{2} - 36} + \frac{x + 4}{x + 6}$
20167	Solve for x	(7x+6)/2<=3x+2	$\frac{7 x + 6}{2} \leq 3 x + 2$
20168	Find the Antiderivative	2^( square root of x)*( natural log of 2)/( square root of x)	$2^{\sqrt{x}} \cdot \frac{\ln (2)}{\sqrt{x}}$
20169	Evaluate the Integral	integral of (x+2x^2+3x^3)/x with respect to x	$\int \frac{x + 2 x^{2} + 3 x^{3}}{x} d x$
20170	Simplify	2 square root of 3-3 square root of 5+4 square root of 2- square root of 2	$2 \sqrt{3} - 3 \sqrt{5} + 4 \sqrt{2} - \sqrt{2}$
20171	Determine if a Polynomial	(2r^3)/s+t^5	$\frac{2 r^{3}}{s} + t^{5}$
20172	Simplify	(y+4y^2-3)-(1+2y^2-5y-y^3)	$(y + 4 y^{2} - 3) - (1 + 2 y^{2} - 5 y - y^{3})$
20173	Solve the Inequality for m	11(m+2)<=2m-(3m+8)	$11 (m + 2) \leq 2 m - (3 m + 8)$
20174	Find the Domain and Range	f(x)=cot(x)+7	$f (x) = \cot (x) + 7$
20175	Find the Maximum/Minimum Value	f(x)=3/4x^4-3x^3-81x^2-16	$f (x) = \frac{3}{4} x^{4} - 3 x^{3} - 81 x^{2} - 16$
20176	Solve for a	4a+a-11=24	$4 a + a - 11 = 24$
20177	Solve for a	2a+4(a-1)=3-(2a+1)	$2 a + 4 (a - 1) = 3 - (2 a + 1)$
20178	Simplify the Radical Expression	fourth root of x^6y^3+ fourth root of x^10y^3	$\sqrt[4]{x^{6} y^{3}} + \sqrt[4]{x^{10} y^{3}}$
20179	Find the Distance Between Two Points	What is the distance between the points (0,0) and (0.4,0.3) ?	What is the distance between the points $(0, 0)$ and $(0.4, 0.3)$ ?
20180	Find Where Increasing/Decreasing	f(x)=1/3x^3-3x^2-16x	$f (x) = \frac{1}{3} x^{3} - 3 x^{2} - 16 x$
20181	Write in Standard Form	y=(-7x)/15+1/5	$y = \frac{- 7 x}{15} + \frac{1}{5}$
20182	Find the Antiderivative	(e^(-x))^2	${(e^{- x})}^{2}$
20183	Solve the Inequality for x	6(4-3x)+4x<3(9+2x)	$6 (4 - 3 x) + 4 x < 3 (9 + 2 x)$
20184	Simplify	3-(-2+3i)+(-5+i)	$3 - (- 2 + 3 i) + (- 5 + i)$
20185	Simplify	(7^(2/3))/(7^(5/3))	$\frac{7^{\frac{2}{3}}}{7^{\frac{5}{3}}}$
20186	Solve for x	e^x>0	$e^{x} > 0$
20187	Find the Derivative - d/dx	y=12/18x^18-15x^2	$y = \frac{12}{18} x^{18} - 15 x^{2}$
20188	Convert from Degrees to Radians	-45deg	$- 45$ degrees
20189	Calculate the Square Root	10-4 square root of 1/16	$10 - 4 \sqrt{\frac{1}{16}}$
20190	Solve for p	3(1+p)=-5(p+1)	$3 (1 + p) = - 5 (p + 1)$
20191	Find the Derivative - d/dx	y=x/z	$y = \frac{x}{z}$
20192	Solve for x	5(x-3 3/4)=7 1/2	$5 (x - 3 \frac{3}{4}) = 7 \frac{1}{2}$
20193	Simplify	(cos(theta)+cot(theta)sin(theta))/(cot(theta))	$\frac{\cos (θ) + \cot (θ) \sin (θ)}{\cot (θ)}$
20194	Evaluate the Limit	limit as x approaches 3 from the right of (x-3)/(\|x^3-3x^2\|) is	$lim_{x \to 3^{+}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$ is
20195	Simplify	3/5r^2t(10r^3+5rt^3+15t^2)	$\frac{3}{5} r^{2} t (10 r^{3} + 5 r t^{3} + 15 t^{2})$
20196	Subtract	4m^2-10m^3-3m^2+20m^3	$4 m^{2} - 10 m^{3} - 3 m^{2} + 20 m^{3}$
20197	Divide	1/i	$\frac{1}{i}$
20198	Simplify	(7/(6x^3))÷(2/(9x^2))	$\frac{7}{6 x^{3}} \div \frac{2}{9 x^{2}}$
20199	Solve for x	(x) = square root of x-2	$(x) = \sqrt{x - 2}$
20200	Solve the System of Inequalities	y>-x+2 y>=1/3x-2	$y > - x + 2$ $y \geq \frac{1}{3} x - 2$