Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16701	Simplify	(-n^2+16n-63)/(n^2-2n-35)	$\frac{- n^{2} + 16 n - 63}{n^{2} - 2 n - 35}$
16702	Subtract	(5y^4+3y^3-6y^2+14)-(-y^4+y^2-7y-1)	$(5 y^{4} + 3 y^{3} - 6 y^{2} + 14) - (- y^{4} + y^{2} - 7 y - 1)$
16703	Graph	r^2=cos(2theta)	$r^{2} = \cos (2 θ)$
16704	Evaluate	(-1)^3-3/2(-1)^2	${(- 1)}^{3} - \frac{3}{2} {(- 1)}^{2}$
16705	Find the Slope	3x+y=3x-8	$3 x + y = 3 x - 8$
16706	Find the First Term	a_n=3(2)^n	$a_{n} = 3 {(2)}^{n}$
16707	Solve for a	-(a-3)+2a=-2	$- (a - 3) + 2 a = - 2$
16708	Solve by Substitution	x-3y=-1 x=y	$x - 3 y = - 1$ $x = y$
16709	Find the Derivative - d/dx	1/x+e^x	$\frac{1}{x} + e^{x}$
16710	Graph	sin(theta)<0 , cot(theta)<0	$\sin (θ) < 0$ , $\cot (θ) < 0$
16711	Solve for x	y=(z^2xw)/a	$y = \frac{z^{2} x w}{a}$
16712	Solve the System of Equations	y=1/3x y=-2	$y = \frac{1}{3} x$ $y = - 2$
16713	Evaluate the Function	h(x)=x^5-4x^3+3x^2+11x-8 , x=7	$h (x) = x^{5} - 4 x^{3} + 3 x^{2} + 11 x - 8$ , $x = 7$
16714	Evaluate the Limit	limit as t approaches -2 of t^3(4-6t^2)	$lim_{t \to - 2} t^{3} (4 - 6 t^{2})$
16715	Solve the System of Equations	-10x+y-5z=-7 2x+y+5z=1 3x-3y-5z=8	$- 10 x + y - 5 z = - 7$ $2 x + y + 5 z = 1$ $3 x - 3 y - 5 z = 8$
16716	Convert from Degrees to Radians	510deg	$510$ degrees
16717	Find the Asymptotes	(2x-9)/(3x^2-75)	$\frac{2 x - 9}{3 x^{2} - 75}$
16718	Find the Antiderivative	(dx)/( square root of x)	$\frac{d x}{\sqrt{x}}$
16719	Solve for y	y-11=25-3y	$y - 11 = 25 - 3 y$
16720	Simplify	2(4^2+3)+(6-2^2)	$2 (4^{2} + 3) + (6 - 2^{2})$
16721	Find the Excluded Values	(-9x)/(x^2-4x-21)	$\frac{- 9 x}{x^{2} - 4 x - 21}$
16722	Simplify	( square root of 10)÷( cube root of 2)	$\sqrt{10} \div \sqrt[3]{2}$
16723	Solve the System of Equations	2y=-2x+16 y-8=-x	$2 y = - 2 x + 16$ $y - 8 = - x$
16724	Find All Complex Solutions	cube root of 6/7=( cube root of 6)/( cube root of 7)	$\sqrt[3]{\frac{6}{7}} = \frac{\sqrt[3]{6}}{\sqrt[3]{7}}$
16725	Solve for x	y<=x^2+2x-8	$y \leq x^{2} + 2 x - 8$
16726	Simplify	(2x^2y)^4(x^4y^5)^10	${(2 x^{2} y)}^{4} {(x^{4} y^{5})}^{10}$
16727	Find the Excluded Values	3/(8m)+7/(m+4)=(m+1)/(m-16)	$\frac{3}{8 m} + \frac{7}{m + 4} = \frac{m + 1}{m - 16}$
16728	Solve the Inequality for b	\|b-8\|+10>22	$\| b - 8 \| + 10 > 22$
16729	Solve for z	a=x+y+z	$a = x + y + z$
16730	Find the Roots (Zeros)	3x^2-24x=-12	$3 x^{2} - 24 x = - 12$
16731	Find the Secant Given the Point	(- square root of 3,-1)	$(- \sqrt{3}, - 1)$
16732	Graph	cos(theta)>0 , tan(theta)<0	$\cos (θ) > 0$ , $\tan (θ) < 0$
16733	Solve the System of Equations	x^2+y^2=25 y=3/4x-25/4	$x^{2} + y^{2} = 25$ $y = \frac{3}{4} x - \frac{25}{4}$
16734	Find the Excluded Values	7/x-9/(x-4)=5	$\frac{7}{x} - \frac{9}{x - 4} = 5$
16735	Simplify the Radical Expression	square root of 27/16	$\sqrt{\frac{27}{16}}$
16736	Solve the Inequality for x	-6x^2+27x-13>=8x-10	$- 6 x^{2} + 27 x - 13 \geq 8 x - 10$
16737	Find the Antiderivative	1+cos(x)^2	$1 + \cos^{2} (x)$
16738	Evaluate	cot(x)^2-csc(x)^2	$\cot^{2} (x) - \csc^{2} (x)$
16739	Find the Domain	1/(1-tan(x))	$\frac{1}{1 - \tan (x)}$
16740	Simplify	(x^11y^3)/(x^11y)	$\frac{x^{11} y^{3}}{x^{11} y}$
16741	Write in Standard Form	(3x^2-2x+1)(x^2+x-4)	$(3 x^{2} - 2 x + 1) (x^{2} + x - 4)$
16742	Round to the Nearest Hundredth	43/14	$\frac{43}{14}$
16743	Find the x and y Intercepts	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
16744	Graph Using a Table of Values	F(x)=(1/3)^(-x)	$F (x) = {(\frac{1}{3})}^{- x}$
16745	Find dy/dx	2x^3=y-y^2	$2 x^{3} = y - y^{2}$
16746	Solve for x in Degrees	3tan(x)^3=tan(x)	$3 \tan^{3} (x) = \tan (x)$
16747	Find the x and y Intercepts	3x+12=-6	$3 x + 12 = - 6$
16748	Write in Slope-Intercept Form	y-2=x-3	$y - 2 = x - 3$
16749	Simplify	11i^59+6i^12+9i^15+i^11	$11 i^{59} + 6 i^{12} + 9 i^{15} + i^{11}$
16750	Solve the Function Operation	f(x)=-x+5 g(x)=x^2-x-4 Find: (fog)(x)	$f (x) = - x + 5$ $g (x) = x^{2} - x - 4$ Find: $((f \circ g)) (x)$
16751	Write in y=mx+b Form	(-6,-5) and (-4,-4)	$(- 6, - 5)$ and $(- 4, - 4)$
16752	Graph	x/4<4y-3	$\frac{x}{4} < 4 y - 3$
16753	Simplify	1/3n^3(6n-9p+18np^4)	$\frac{1}{3} n^{3} (6 n - 9 p + 18 n p^{4})$
16754	Simplify	6 square root of x- square root of x-3 square root of y+ square root of y	$6 \sqrt{x} - \sqrt{x} - 3 \sqrt{y} + \sqrt{y}$
16755	Factor	49n^3-c^2n	$49 n^{3} - c^{2} n$
16756	Find the Product	-3n(n^2-2n+8)	$- 3 n (n^{2} - 2 n + 8)$
16757	Solve the Function Operation	f(x)=2x-10 g(x)=x^2+4x-2 Find: (gof)(x)	$f (x) = 2 x - 10$ $g (x) = x^{2} + 4 x - 2$ Find: $((g \circ f)) (x)$
16758	Evaluate the Function	x=-1 , 3 , 4	$x = - 1$ , $3$ , $4$
16759	Graph	F(x)=-1/2x^4-x^3+x+2	$F (x) = - \frac{1}{2} x^{4} - x^{3} + x + 2$
16760	Factor	75a^2c-45a^2d-30bc+18bd	$75 a^{2} c - 45 a^{2} d - 30 b c + 18 b d$
16761	Solve the Inequality for p	4(2+3p)-2(1+3p)>=32	$4 (2 + 3 p) - 2 (1 + 3 p) \geq 32$
16762	Solve the Inequality for x	2x^2+4x+22<-10x+2	$2 x^{2} + 4 x + 22 < - 10 x + 2$
16763	Find the Square Roots of a Complex Number	-3+3 square root of 3i	$- 3 + 3 \sqrt{3} i$
16764	Simplify	(m^2-m)+(2m+m^2)	$(m^{2} - m) + (2 m + m^{2})$
16765	Find the Derivative - d/dx	2^(2x+3)	$2^{2 x + 3}$
16766	Evaluate	(6*6^-6)^5	${(6 \cdot 6^{- 6})}^{5}$
16767	Simplify	(1/(x+1)-3/(x^3+1)+3/(x^2-x+1))÷(x-(2x-1)/(x+1))	$(\frac{1}{x + 1} - \frac{3}{x^{3} + 1} + \frac{3}{x^{2} - x + 1}) \div (x - \frac{2 x - 1}{x + 1})$
16768	Find dy/dx	x+cos(x+y)=0	$x + \cos (x + y) = 0$
16769	Simplify	square root of (7m^2)/(y^3)	$\sqrt{\frac{7 m^{2}}{y^{3}}}$
16770	Find the Slope	(5,-10) and (11,-12)	$(5, - 10)$ and $(11, - 12)$
16771	Simplify the Radical Expression	cube root of 7* fourth root of 7	$\sqrt[3]{7} \cdot \sqrt[4]{7}$
16772	Solve the Inequality for c	-15c+6>4+5c	$- 15 c + 6 > 4 + 5 c$
16773	Find the Derivative - d/dx	2x^4(3x^2+7x)	$2 x^{4} (3 x^{2} + 7 x)$
16774	Convert to Interval Notation	x>=1 or x<-1	$x \geq 1$ or $x < - 1$
16775	Solve the Inequality for x	-4x^2-5x+2>=-10x-4	$- 4 x^{2} - 5 x + 2 \geq - 10 x - 4$
16776	Simplify	( fourth root of z^5)/( fifth root of z)	$\frac{\sqrt[4]{z^{5}}}{\sqrt[5]{z}}$
16777	Integrate Using u-Substitution	integral from 1 to 2 of x square root of x-1 with respect to x	$\int_{1}^{2} x \sqrt{x - 1} d x$
16778	Find the Exact Value	cot(-(7pi)/3)	$\cot (- \frac{7 π}{3})$
16779	Convert from Degrees to Radians	255deg	$255$ degrees
16780	Simplify	square root of 2-3	$\sqrt{2 - 3}$
16781	Convert to Radical Form	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
16782	Simplify	(1-( square root of 3)/3)/(1+( square root of 3)/3)	$\frac{1 - \frac{\sqrt{3}}{3}}{1 + \frac{\sqrt{3}}{3}}$
16783	Solve the System of Equations	y=2x+1 and y=4x-1	$y = 2 x + 1$ and $y = 4 x - 1$
16784	Evaluate	square root of 3x+7=x-1	$\sqrt{3 x + 7} = x - 1$
16785	Solve the Function Operation	f(x)=x^2-2x-6 g(x)=-5x-3 Find: (gof)(x)	$f (x) = x^{2} - 2 x - 6$ $g (x) = - 5 x - 3$ Find: $((g \circ f)) (x)$
16786	Find the First Term	a_n=1/8+2/3n	$a_{n} = \frac{1}{8} + \frac{2}{3} n$
16787	Simplify	(x+4)/(x^2-4)+(-2x-2)/(x^2-4)	$\frac{x + 4}{x^{2} - 4} + \frac{- 2 x - 2}{x^{2} - 4}$
16788	Simplify	fourth root of 81x^9* square root of 144x	$\sqrt[4]{81 x^{9}} \cdot \sqrt{144 x}$
16789	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-2x^2-5x-6 is divided by x-2	Use synthetic division to find the result when $3 x^{3} - 2 x^{2} - 5 x - 6$ is divided by $x - 2$
16790	Solve for A	cot(theta)=A/B	$\cot (θ) = \frac{A}{B}$
16791	Simplify	fifth root of a^3b^2* fifth root of b^3c^4* fifth root of a^2c	$\sqrt[5]{a^{3} b^{2}} \cdot \sqrt[5]{b^{3} c^{4}} \cdot \sqrt[5]{a^{2} c}$
16792	Simplify	(a^2b^7)^2(-4ab^2)^2	${(a^{2} b^{7})}^{2} {(- 4 a b^{2})}^{2}$
16793	Graph	y=2cos(b(x-2))-1	$y = 2 \cos (b (x - 2)) - 1$
16794	Solve for x	y=4x y=24	$y = 4 x$ $y = 24$
16795	Graph	cos(theta)<0 and sin(theta)>0	$\cos (θ) < 0$ and $\sin (θ) > 0$
16796	Graph	y>=2 1<=x<=5 y<=x+3 f(x,y)=3x-2y	$y \geq 2$ $1 \leq x \leq 5$ $y \leq x + 3$ $f (x, y) = 3 x - 2 y$
16797	Graph	ax+5y>3 y-2<2/5x	$a x + 5 y > 3$ $y - 2 < \frac{2}{5} x$
16798	Solve for b	7+2b^2=79	$7 + 2 b^{2} = 79$
16799	Solve for x	x^2=(3x)/(x-2)	$x^{2} = \frac{3 x}{x - 2}$
16800	Evaluate the Limit	limit as x approaches 2 of (2x-x^2)/(x^2-4)	$lim_{x \to 2} \frac{2 x - x^{2}}{x^{2} - 4}$