Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
21101	Write in Standard Form	(3x^2+x-5)(2x^2+x+3)	$(3 x^{2} + x - 5) (2 x^{2} + x + 3)$
21102	Simplify	1/3x+1/4-2/3x	$\frac{1}{3} x + \frac{1}{4} - \frac{2}{3} x$
21103	Simplify	(7x^3+3x^2+4x+10)-(10+8x+3x^3)	$(7 x^{3} + 3 x^{2} + 4 x + 10) - (10 + 8 x + 3 x^{3})$
21104	Solve for p	1/(p-2)-5/(p^2+4p-12)=6/(p-2)	$\frac{1}{p - 2} - \frac{5}{p^{2} + 4 p - 12} = \frac{6}{p - 2}$
21105	Evaluate	(5b^-2)/(b^-3)	$\frac{5 b^{- 2}}{b^{- 3}}$
21106	Solve the Inequality for x	e^x>7	$e^{x} > 7$
21107	Find All Complex Solutions	2^(2x)-12*2^x+2^5=0	$2^{2 x} - 12 \cdot 2^{x} + 2^{5} = 0$
21108	Solve for c	5-8x=cx+5	$5 - 8 x = c x + 5$
21109	Find the Product	5jk(3jk+2k)	$5 j k (3 j k + 2 k)$
21110	Simplify	(ab^2)/3(6a^3b^3+15a^2b^5-3ab^2-12)	$\frac{a b^{2}}{3} (6 a^{3} b^{3} + 15 a^{2} b^{5} - 3 a b^{2} - 12)$
21111	Solve the System of Inequalities	r/6<-6 OR 4r+2>18	$\frac{r}{6} < - 6$ OR $4 r + 2 > 18$
21112	Solve for x	1/4 cube root of 2x+8=6	$\frac{1}{4} \sqrt[3]{2 x} + 8 = 6$
21113	Solve for x	(3^2)^4=9^(x+2)	${(3^{2})}^{4} = 9^{x + 2}$
21114	Solve for t	5(2t+s)=2(3s)	$5 (2 t + s) = 2 (3 s)$
21115	Solve for a	(9x-4)(9x+4)=ax^2-b	$(9 x - 4) (9 x + 4) = a x^{2} - b$
21116	Simplify the Radical Expression	(-2 square root of -10)( square root of -3)	$(- 2 \sqrt{- 10}) (\sqrt{- 3})$
21117	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (x+2x^2)/(3 natural log of x+1-3x)	$lim_{x \to 0} \frac{x + 2 x^{2}}{3 \ln (x + 1) - 3 x}$
21118	Simplify	((3x)/(4x^2))^2	${(\frac{3 x}{4 x^{2}})}^{2}$
21119	Solve for h	v = square root of 2gr* square root of h/(r+h)	$v = \sqrt{2 g r} \cdot \sqrt{\frac{h}{r + h}}$
21120	Solve for x	x^2-3/4x-7/64=0	$x^{2} - \frac{3}{4} x - \frac{7}{64} = 0$
21121	Simplify	a^2-(a^4+1)/(a^2-1)+1	$a^{2} - \frac{a^{4} + 1}{a^{2} - 1} + 1$
21122	Find dy/dx	y=3^( natural log of x)	$y = 3^{\ln (x)}$
21123	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+3x^2-8x-7 is divided by x+1	Use synthetic division to find the result when $4 x^{3} + 3 x^{2} - 8 x - 7$ is divided by $x + 1$
21124	Evaluate	natural log of e+ natural log of cube root of e	$\ln (e) + \ln (\sqrt[3]{e})$
21125	Solve for x	x^(x^6)=( square root of 2)^( square root of 2)	$x^{x^{6}} = {(\sqrt{2})}^{\sqrt{2}}$
21126	Solve for t	-18t=18t-5(5t-11)	$- 18 t = 18 t - 5 (5 t - 11)$
21127	Find the Degree	3x^4y^2-9x^3y	$3 x^{4} y^{2} - 9 x^{3} y$
21128	Graph	f(x)=3/2(x-2)	$f (x) = \frac{3}{2} (x - 2)$
21129	Solve for x	-2/3(18x+42)=-5x-18	$- \frac{2}{3} (18 x + 42) = - 5 x - 18$
21130	Solve for x	5x-5=x	$5 x - 5 = x$
21131	Divide Using Synthetic Division	(2x^4-4x^3+7x)/(x+1)	$\frac{2 x^{4} - 4 x^{3} + 7 x}{x + 1}$
21132	Solve the System of Equations	y=-3x^2-16x-2 2=2x-y	$y = - 3 x^{2} - 16 x - 2$ $2 = 2 x - y$
21133	Solve for y	-2(3y-4)+10=0	$- 2 (3 y - 4) + 10 = 0$
21134	Find Amplitude, Period, and Phase Shift	y=4sin((2pix)/5-1)	$y = 4 \sin (\frac{2 π x}{5} - 1)$
21135	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,-2) and has a slope of -6/5 ?	What is the equation of the line that passes through the point $(- 5, - 2)$ and has a slope of $- \frac{6}{5}$ ?
21136	Solve the Inequality for b	b-2>=-1	$b - 2 \geq - 1$
21137	Find the Derivative - d/dx	1/3x^3-x	$\frac{1}{3} x^{3} - x$
21138	Evaluate the Integral	integral from 0 to 2 of y^2 square root of 1+y^3 with respect to y	$\int_{0}^{2} y^{2} \sqrt{1 + y^{3}} d y$
21139	Evaluate	cot(theta)=-1	$\cot (θ) = - 1$
21140	Simplify	5^05^-15^-2	$5^{0} \cdot 5^{- 1} \cdot 5^{- 2}$
21141	Convert to a Simplified Fraction	50lb to 35lb	$50 pounds$ to $35 pounds$
21142	Solve the Rational Equation for x	square root of x+6=x	$\sqrt{x} + 6 = x$
21143	Solve for x	12x^5-384x^(10/3)=0	$12 x^{5} - 384 x^{\frac{10}{3}} = 0$
21144	Solve for y	-5y+4(4y-3)=5y	$- 5 y + 4 (4 y - 3) = 5 y$
21145	Find the Antiderivative	(x-1)/(x+1)	$\frac{x - 1}{x + 1}$
21146	Find the Slope	y=(3x)/7+4/7	$y = \frac{3 x}{7} + \frac{4}{7}$
21147	Simplify	j^4-16+(j^2-4)^2	$j^{4} - 16 + {(j^{2} - 4)}^{2}$
21148	Factor	x^2+3x^2-4x-12	$x^{2} + 3 x^{2} - 4 x - 12$
21149	Solve for k	7.3*10^-11=(k^2)/0.35	$7.3 \times 10^{- 11} = \frac{k^{2}}{0.35}$
21150	Convert to a Decimal	126deg	$126$ degrees
21151	Simplify	(( square root of 3)/2+( square root of 3)/3i)^2	${(\frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{3} i)}^{2}$
21152	Solve for x	(x-3)/(4x^2)+3/(x^2)=1/(2x^2)	$\frac{x - 3}{4 x^{2}} + \frac{3}{x^{2}} = \frac{1}{2 x^{2}}$
21153	Evaluate the Limit	limit as x approaches infinity of 3/(x^2)-2	$lim_{x \to \infty} \frac{3}{x^{2}} - 2$
21154	Simplify	4x+(x^2*x^4)-(y^2)^3+(3xy)^2	$4 x + (x^{2} \cdot x^{4}) - {(y^{2})}^{3} + {(3 x y)}^{2}$
21155	Simplify	( square root of 20)/( cube root of 8)	$\frac{\sqrt{20}}{\sqrt[3]{8}}$
21156	Graph	-1/8x^2+x-4	$- \frac{1}{8} x^{2} + x - 4$
21157	Solve for x	square root of 5x+11-1=x	$\sqrt{5 x + 11 - 1} = x$
21158	Simplify	-2/5(15-20d+5c)	$- \frac{2}{5} (15 - 20 d + 5 c)$
21159	Simplify	(sin(x)(tan(x)+cot(x)))/(cos(x))	$\frac{\sin (x) (\tan (x) + \cot (x))}{\cos (x)}$
21160	Solve for k	k^5+4k^4-32k^3=0	$k^{5} + 4 k^{4} - 32 k^{3} = 0$
21161	Simplify the Radical Expression	cube root of (4x)/(5x^2)	$\sqrt[3]{\frac{4 x}{5 x^{2}}}$
21162	Simplify	1/(cos(x))(1-sin(x)^2)	$\frac{1}{\cos (x)} (1 - \sin^{2} (x))$
21163	Solve for θ in Radians	2cos(theta)^2+cos(theta)=0	$2 \cos^{2} (θ) + \cos (θ) = 0$
21164	Solve for x	-44=-8-9x^2	$- 44 = - 8 - 9 x^{2}$
21165	Simplify	sin(theta)^2+sin(theta)csc(theta)cos(theta)^2	$\sin^{2} (θ) + \sin (θ) \csc (θ) \cos^{2} (θ)$
21166	Evaluate the Integral	integral of 4x(2x-1)(4x+1) with respect to x	$\int 4 x (2 x - 1) (4 x + 1) d x$
21167	Find dy/dx	-y-2x^3=y^2	$- y - 2 x^{3} = y^{2}$
21168	Simplify the Radical Expression	( square root of 8)/( square root of 7)	$\frac{\sqrt{8}}{\sqrt{7}}$
21169	Simplify	(2x^-3y^2)/(x^-3y^-3)	$\frac{2 x^{- 3} y^{2}}{x^{- 3} y^{- 3}}$
21170	Factor	28xy+49x^2+4y^2	$28 x y + 49 x^{2} + 4 y^{2}$
21171	Find the Local Maxima and Minima	f(x)=1/2x^4-4x^3+8x^2+46	$f (x) = \frac{1}{2} x^{4} - 4 x^{3} + 8 x^{2} + 46$
21172	Solve the Inequality for x	3x^2-5x-8<-3x	$3 x^{2} - 5 x - 8 < - 3 x$
21173	Graph	f(x)=6+0.5x if 0<=x<=6; -3+2x if x>6	$f (x) = {\begin{cases} 6 + 0.5 x & 0 \leq x \leq 6 \\ - 3 + 2 x & x > 6 \end{cases}$
21174	Solve for x	(3x)/2+1/2x-x=1-3(x-3)	$\frac{3 x}{2} + \frac{1}{2} x - x = 1 - 3 (x - 3)$
21175	Factor	x^3+x^2-2x-2=0	$x^{3} + x^{2} - 2 x - 2 = 0$
21176	Solve for x	2/(3 cube root of x)=0	$\frac{2}{3 \sqrt[3]{x}} = 0$
21177	Find the Exact Value	(11^7* square root of 6)/(11^5*6^(3/2))	$\frac{11^{7} \cdot \sqrt{6}}{11^{5} \cdot 6^{\frac{3}{2}}}$
21178	Multiply	(3x^2-19x-14)/(5x^2+7x+2)*(5x+2)/(5x-35)	$\frac{3 x^{2} - 19 x - 14}{5 x^{2} + 7 x + 2} \cdot \frac{5 x + 2}{5 x - 35}$
21179	Simplify	((16 square root of x)^2)/(y^-1)	$\frac{{(16 \sqrt{x})}^{2}}{y^{- 1}}$
21180	Find the Derivative - d/dx	y=sin(pi-x)^2	$y = \sin^{2} (π - x)$
21181	Solve the Absolute Value Inequality for p	\|5-3p\|+9=13p+8	$\| 5 - 3 p \| + 9 = 13 p + 8$
21182	Find the Derivative - d/dx	3x+2e^(-3x)	$3 x + 2 e^{- 3 x}$
21183	Simplify	square root of 36a^2+14a^2	$\sqrt{36 a^{2} + 14 a^{2}}$
21184	Solve the System of Equations	-x+3y=-6 and 4x+7y=-33	$- x + 3 y = - 6$ and $4 x + 7 y = - 33$
21185	Solve the System of Equations	-3x+y=7 and -5x-4y=23	$- 3 x + y = 7$ and $- 5 x - 4 y = 23$
21186	Simplify	(15w^-3x^5y^2)/(6w^-2x^-2y)	$\frac{15 w^{- 3} x^{5} y^{2}}{6 w^{- 2} x^{- 2} y}$
21187	Add	x/2+x/2	$\frac{x}{2} + \frac{x}{2}$
21188	Evaluate	-2(5)^(1/3)+5(5)^(1/2)	$- 2 {(5)}^{\frac{1}{3}} + 5 {(5)}^{\frac{1}{2}}$
21189	Solve for n	n-70=200-(15*4)	$n - 70 = 200 - (15 \times 4)$
21190	Solve the Rational Equation for x	1/(x-3)-2/(x+4)=(2x-1)/(x^2+x-12)	$\frac{1}{x - 3} - \frac{2}{x + 4} = \frac{2 x - 1}{x^{2} + x - 12}$
21191	Solve for x	sin(x^2-2x+1)=0	$\sin (x^{2} - 2 x + 1) = 0$
21192	Evaluate	(22/7-2/3)÷2	$(\frac{22}{7} - \frac{2}{3}) \div 2$
21193	Solve for x	8^x+8=2^(2x+3)+2^x	$8^{x} + 8 = 2^{2 x + 3} + 2^{x}$
21194	Simplify the Radical Expression	(s/(r^2))^(-3/4)	${(\frac{s}{r^{2}})}^{- \frac{3}{4}}$
21195	Write in Standard Form	y=2(2x-5)^2-10	$y = 2 {(2 x - 5)}^{2} - 10$
21196	Subtract	(9x^2+6x-7)+(-9x-5)	$(9 x^{2} + 6 x - 7) + (- 9 x - 5)$
21197	Find the Antiderivative	f(x)=e^x-e^(-x)	$f (x) = e^{x} - e^{- x}$
21198	Write the Fraction in Simplest Form	(-5t^5)/((5t^4)^2)	$\frac{- 5 t^{5}}{{(5 t^{4})}^{2}}$
21199	Solve the System of Equations	y=2x y=2x^2-4	$y = 2 x$ $y = 2 x^{2} - 4$
21200	Find the Second Derivative	1/2x^4+2x^3	$\frac{1}{2} x^{4} + 2 x^{3}$