Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36101	Multiply	-3x^4(5xy-2xy^3)	$- 3 x^{4} (5 x y - 2 x y^{3})$
36102	Simplify	limit as x approaches 0 of ((x+2)^5-32)/x	$lim_{x \to 0} \frac{{(x + 2)}^{5} - 32}{x}$
36103	Solve for z	(3z-18)^2+60=42	${(3 z - 18)}^{2} + 60 = 42$
36104	Graph	\|x+3y\|>3	$\| x + 3 y \| > 3$
36105	Simplify	(1+1/x)^2	${(1 + \frac{1}{x})}^{2}$
36106	Simplify the Radical Expression	(10 square root of 40)( square root of -9)	$(10 \sqrt{40}) (\sqrt{- 9})$
36107	Solve for x	-2(3x+4)^(1/2)-3=21	$- 2 {(3 x + 4)}^{\frac{1}{2}} - 3 = 21$
36108	Find the x and y Intercepts	f(x)=x^4-x^3-21x^2+x+20	$f (x) = x^{4} - x^{3} - 21 x^{2} + x + 20$
36109	Solve the Function Operation	f(x)=10x^(1/3)-6 ; find f^-1(x)	$f (x) = 10 x^{\frac{1}{3}} - 6$ ; find $f^{- 1} (x)$
36110	Simplify	(9-i^7)(3+i^5)	$(9 - i^{7}) (3 + i^{5})$
36111	Find the Product	(4y+3)(4y-3z)^2	$(4 y + 3) {(4 y - 3 z)}^{2}$
36112	Simplify	(2x^3+3x^2-x+2)+(-3x^2+4x+5)	$(2 x^{3} + 3 x^{2} - x + 2) + (- 3 x^{2} + 4 x + 5)$
36113	Simplify	(9x^2-9x)/(3x-3)*(6x^2+21x-27)/(2x^2+13x+18)	$\frac{9 x^{2} - 9 x}{3 x - 3} \cdot \frac{6 x^{2} + 21 x - 27}{2 x^{2} + 13 x + 18}$
36114	Simplify	1/(2/(-( square root of 3)/2))	$\frac{1}{\frac{2}{- \frac{\sqrt{3}}{2}}}$
36115	Find the Product	(x+7)(5x^2-7x-4)-(x-3)(4x^3-x^2+4x-3)	$(x + 7) (5 x^{2} - 7 x - 4) - (x - 3) (4 x^{3} - x^{2} + 4 x - 3)$
36116	Simplify	((x^5y)/(2x^3y^4))^3	${(\frac{x^{5} y}{2 x^{3} y^{4}})}^{3}$
36117	Find the x and y Intercepts	(x-4)^2+y^2=16	${(x - 4)}^{2} + y^{2} = 16$
36118	Graph	1/2x-2/3>2	$\frac{1}{2} x - \frac{2}{3} > 2$
36119	Solve the Inequality for z	-2(z+5)+20>6	$- 2 (z + 5) + 20 > 6$
36120	Solve for q	i=q/t	$i = \frac{q}{t}$
36121	Simplify	(x^-3x^4)^-2	${(x^{- 3} x^{4})}^{- 2}$
36122	Evaluate the Function	f(1)=6/(2x-3)	$f (1) = \frac{6}{2 x - 3}$
36123	Simplify the Radical Expression	( square root of 3+5 square root of 2)(4 square root of 2-2 square root of 3)	$(\sqrt{3} + 5 \sqrt{2}) (4 \sqrt{2} - 2 \sqrt{3})$
36124	Simplify	(2x^2)/(x^2-7x+12)-(x^2+9)/(x^2-7x+12)	$\frac{2 x^{2}}{x^{2} - 7 x + 12} - \frac{x^{2} + 9}{x^{2} - 7 x + 12}$
36125	Multiply	( square root of 7-7)*(1+ square root of 7)	$(\sqrt{7} - 7) \cdot (1 + \sqrt{7})$
36126	Simplify	-3y^3(3y-4xy)	$- 3 y^{3} (3 y - 4 x y)$
36127	Simplify	33 1/3%	$33 \frac{1}{3} %$
36128	Factor	x^8-5x^4+4=0	$x^{8} - 5 x^{4} + 4 = 0$
36129	Write the Fraction in Simplest Form	3/4*2/9	$\frac{3}{4} \cdot \frac{2}{9}$
36130	Simplify	3-2y-1+5x^2-7y+7+4x^2	$3 - 2 y - 1 + 5 x^{2} - 7 y + 7 + 4 x^{2}$
36131	Simplify the Radical Expression	(64n^12)^(-1/6)	${(64 n^{12})}^{- \frac{1}{6}}$
36132	Find the Remainder	(x^81-2x^80+5x^3-6x+1)/((x-1)(x-2))	$\frac{x^{81} - 2 x^{80} + 5 x^{3} - 6 x + 1}{(x - 1) (x - 2)}$
36133	Find the Second Derivative	y=x^x	$y = x^{x}$
36134	Find the GCF	8ax-56a	$8 a x - 56 a$
36135	Solve the Inequality for x	\|-x-10\|+4<-8	$\| - x - 10 \| + 4 < - 8$
36136	Find the Maximum/Minimum Value	f(x) = square root of 5x+18	$f (x) = \sqrt{5 x + 18}$
36137	Factor	x^4-y^4+x^2-y^2	$x^{4} - y^{4} + x^{2} - y^{2}$
36138	Solve for x	(x-3)(x^2-22x+84)=0	$(x - 3) (x^{2} - 22 x + 84) = 0$
36139	Simplify	3 square root of -24*2 square root of -15	$3 \sqrt{- 24} \cdot 2 \sqrt{- 15}$
36140	Simplify	((4c^-5)/(8d^-2))^3	${(\frac{4 c^{- 5}}{8 d^{- 2}})}^{3}$
36141	Solve for m	12m4m=48	$12 m \cdot 4 \cdot m = 48$
36142	Write as a Single Logarithm	2* log base 4 of 9+3* log base 4 of 2	$2 \cdot \log_{4} (9) + 3 \cdot \log_{4} (2)$
36143	Simplify the Radical Expression	-2 cube root of -27b^4	$- 2 \sqrt[3]{- 27 b^{4}}$
36144	Graph	1/2(x-2)^2-2>0	$\frac{1}{2} {(x - 2)}^{2} - 2 > 0$
36145	Simplify	(6y-18)/(2y-6)	$\frac{6 y - 18}{2 y - 6}$
36146	Evaluate	i^14i^8i^24*i^12	$i^{14} \cdot i^{8} \cdot i^{24} \cdot i^{12}$
36147	Solve the Function Operation	6700dollar is placed in an account with an annual interest rate of 8% How much will be in the account after 24yr ; to the nearest cent ?	$6700$ dollars is placed in an account with an annual interest rate of $8 %$ How much will be in the account after $24 years$ ; to the nearest cent?
36148	Simplify	7xy(3x^2+4y+2)	$7 x y (3 x^{2} + 4 y + 2)$
36149	Find the LCM	16x^2y , 32x	$16 x^{2} y$ , $32 x$
36150	Solve the Inequality for y	2y+6<8x	$2 y + 6 < 8 x$
36151	Find Where Increasing/Decreasing	f(x)=4-45x+3x^2+x^3	$f (x) = 4 - 45 x + 3 x^{2} + x^{3}$
36152	Convert to Trigonometric Form	cos(x+y)	$\cos (x + y)$
36153	Simplify	2xy^-2 square root of 4xy^2	$2 x y^{- 2} \sqrt{4 x y^{2}}$
36154	Graph	y<=x x+y>=1	$y \leq x$ $x + y \geq 1$
36155	Solve the Rational Equation for n	fourth root of n+1=2	$\sqrt[4]{n + 1} = 2$
36156	Solve for θ	sin(2theta) = square root of 2sin(theta)	$\sin (2 θ) = \sqrt{2} \sin (θ)$
36157	Convert to Radical Form	fifth root of 4* square root of 2	$\sqrt[5]{4} \cdot \sqrt{2}$
36158	Simplify	4/(x^2-4)-1/(x-2)	$\frac{4}{x^{2} - 4} - \frac{1}{x - 2}$
36159	Solve the System of Equations	y=1/2x+3 x-2y=-6	$y = \frac{1}{2} x + 3$ $x - 2 y = - 6$
36160	Simplify	(7p^4-6p^3-3p)-(1+3p^3+p^4)	$(7 p^{4} - 6 p^{3} - 3 p) - (1 + 3 p^{3} + p^{4})$
36161	Solve for x	2^x+2^(x-2)=5	$2^{x} + 2^{x - 2} = 5$
36162	Simplify	(2x)/(x^2-49)-3/((x-4)(x-7))	$\frac{2 x}{x^{2} - 49} - \frac{3}{(x - 4) (x - 7)}$
36163	Simplify	square root of 4*(- cube root of 125)	$\sqrt{4} \cdot (- \sqrt[3]{125})$
36164	Factor	(10x^2+11x)^2-15(10x^2+11x)-54	${(10 x^{2} + 11 x)}^{2} - 15 (10 x^{2} + 11 x) - 54$
36165	Solve for x	x/5+(2x)/3+x=2	$\frac{x}{5} + \frac{2 x}{3} + x = 2$
36166	Find Amplitude, Period, and Phase Shift	y=3sin(2pix+4)	$y = 3 \sin (2 π x + 4)$
36167	Add	(2x^2-4x+1)+(5x+x^2-1)	$(2 x^{2} - 4 x + 1) + (5 x + x^{2} - 1)$
36168	Solve for b	17=b^3	$17 = b^{3}$
36169	Simplify the Radical Expression	-3 cube root of -3+2 cube root of 162+3 cube root of 81	$- 3 \sqrt[3]{- 3} + 2 \sqrt[3]{162} + 3 \sqrt[3]{81}$
36170	Simplify the Radical Expression	- fourth root of 625	$- \sqrt[4]{625}$
36171	Simplify	(3 fourth root of x)^2	${(3 \sqrt[4]{x})}^{2}$
36172	Find the Antiderivative	x^5-9x^2+4x-1	$x^{5} - 9 x^{2} + 4 x - 1$
36173	Solve for x	6x-9+4x+10+4x-3=180	$6 x - 9 + 4 x + 10 + 4 x - 3 = 180$
36174	Solve the System of Equations	y = square root of 9-x x+2y=6	$y = \sqrt{9 - x}$ $x + 2 y = 6$
36175	Simplify	8/(3x+5)-(2x)/(3x+5)	$\frac{8}{3 x + 5} - \frac{2 x}{3 x + 5}$
36176	Find the Product	1/3(3/4e-12)+3e=6-1/2e	$\frac{1}{3} (\frac{3}{4} e - 12) + 3 e = 6 - \frac{1}{2} e$
36177	Convert from Radians to Degrees	arctan(( square root of 3)/1)	$\arctan (\frac{\sqrt{3}}{1})$
36178	Solve for x	5x-3+x+9+90=180	$5 x - 3 + x + 9 + 90 = 180$
36179	Solve for x	\|2x-6\|=\|x-3\|	$\| 2 x - 6 \| = \| x - 3 \|$
36180	Factor by Grouping	x^4+x^2-12	$x^{4} + x^{2} - 12$
36181	Find the x and y Intercepts	y=(9x^2)/(6x^2-23x+20)	$y = \frac{9 x^{2}}{6 x^{2} - 23 x + 20}$
36182	Write in Slope-Intercept Form	x-y=3(x-y)	$x - y = 3 (x - y)$
36183	Simplify	-2 3/4+(-1/2)	$- 2 \frac{3}{4} + (- \frac{1}{2})$
36184	Find the Derivative - d/dx	xarcsin(x)+ square root of 1-x^2	$x \arcsin (x) + \sqrt{1 - x^{2}}$
36185	Simplify	((2x^(n+1))^2x^(3-n))/(x^(2(n+1))(x^n)^2)	$\frac{{(2 x^{n + 1})}^{2} x^{3 - n}}{x^{2 (n + 1)} {(x^{n})}^{2}}$
36186	Evaluate	csc(360 degrees )	$\csc (360 °)$
36187	Solve the Rational Equation for x	-x/(x-8)+5=-8/(x-8)	$- \frac{x}{x - 8} + 5 = - \frac{8}{x - 8}$
36188	Simplify	(sec(x)^2)/(sec(x))	$\frac{\sec^{2} (x)}{\sec (x)}$
36189	Find the x and y Intercepts	f(x)=tan(3x)	$f (x) = \tan (3 x)$
36190	Solve for t	t^2-6t+9=0	$t^{2} - 6 t + 9 = 0$
36191	Solve the System of Equations	x^2+(y-2)^2=25 -2x+y=7	$x^{2} + {(y - 2)}^{2} = 25$ $- 2 x + y = 7$
36192	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+8x^2-19x+4 is divided by 3x-4	Use the long division method to find the result when $3 x^{3} + 8 x^{2} - 19 x + 4$ is divided by $3 x - 4$
36193	Evaluate the Integral	integral of (2x^3+4x^2-5)/(x+3) with respect to x	$\int \frac{2 x^{3} + 4 x^{2} - 5}{x + 3} d x$
36194	Integrate Using u-Substitution	integral of xcos(x) with respect to x	$\int x \cos (x) d x$
36195	Find the Antiderivative	1/(x square root of x^2+1)	$\frac{1}{x \sqrt{x^{2} + 1}}$
36196	Simplify	2/(x^2-36)-1/(x^2+6x)	$\frac{2}{x^{2} - 36} - \frac{1}{x^{2} + 6 x}$
36197	Solve the Rational Equation for x	x = square root of 20-x	$x = \sqrt{20 - x}$
36198	Simplify	((x^2-9)/(y^2-25))÷((2x^2-6x)/(3y^2-15y))+(3-1.5y)/(y+5)	$\frac{(x^{2} - 9)}{y^{2} - 25} \div \frac{(2 x^{2} - 6 x)}{3 y^{2} - 15 y} + \frac{(3 - 1.5 y)}{y + 5}$
36199	Simplify	cube root of (27y^3)^4 sixth root of (27y^3)^4	$\sqrt[3]{{(27 y^{3})}^{4}} \sqrt[6]{{(27 y^{3})}^{4}}$
36200	Find the LCM	x^2+3x-40 and x-8	$x^{2} + 3 x - 40$ and $x - 8$