Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212401	Solve the Rational Equation for x	x+ square root of x^2+3=3x	$x + \sqrt{x^{2} + 3} = 3 x$
212402	Divide	(40m^3n^4-24m^2n^7)/(8m^2n^5)	$\frac{40 m^{3} n^{4} - 24 m^{2} n^{7}}{8 m^{2} n^{5}}$
212403	Solve for x	x/(x-4)-4/(x+5)=36/((x-4)(x+5))	$\frac{x}{x - 4} - \frac{4}{x + 5} = \frac{36}{(x - 4) (x + 5)}$
212404	Solve for y	-3y+1/2x=-6	$- 3 y + \frac{1}{2} x = - 6$
212405	Solve for x	2x = square root of 100-12x-2	$2 x = \sqrt{100 - 12 x} - 2$
212406	Solve for x	x^2+3x+2x+6=0	$x^{2} + 3 x + 2 x + 6 = 0$
212407	Solve the Inequality for w	3>=(9-w)/3>1	$3 \geq \frac{9 - w}{3} > 1$
212408	Evaluate	1/3x+3/4+2/3x-1/4-2/3x	$\frac{1}{3} x + \frac{3}{4} + \frac{2}{3} x - \frac{1}{4} - \frac{2}{3} x$
212409	Simplify	-5x^2+7x+1 from 8x^2+x-10	$- 5 x^{2} + 7 x + 1$ from $8 x^{2} + x - 10$
212410	Solve the Rational Equation for x	3 square root of x+3=15	$3 \sqrt{x} + 3 = 15$
212411	Simplify	(3m^-4)/(n^-8)	$\frac{3 m^{- 4}}{n^{- 8}}$
212412	Find the Second Term	a_n=((n+1)!)/(n+1)	$a_{n} = \frac{(n + 1)!}{n + 1}$
212413	Simplify	1/4(3c^4d^9)(8d)	$\frac{1}{4} (3 c^{4} d^{9}) (8 d)$
212414	Solve for x	2 log of (2x)^4=16	$2 \log ({(2 x)}^{4}) = 16$
212415	Simplify	(a^6b^(1/2))^6 sixth root of b^6	${(a^{6} b^{\frac{1}{2}})}^{6} \sqrt[6]{b^{6}}$
212416	Multiply	(3e^2-5e+7)(6e+1)	$(3 e^{2} - 5 e + 7) (6 e + 1)$
212417	Simplify	cube root of 16a^3b^4c^5d^6e^2	$\sqrt[3]{16 a^{3} b^{4} c^{5} d^{6} e^{2}}$
212418	Solve for x	square root of 2x^2+17x=3	$\sqrt{2 x^{2} + 17 x} = 3$
212419	Simplify	(36x^5)/(18x^2-27x^3)	$\frac{36 x^{5}}{18 x^{2} - 27 x^{3}}$
212420	Evaluate	(2x^3y-3y)^2	${(2 x^{3} y - 3 y)}^{2}$
212421	Graph	f(x)=(3x^2)/(x-1)	$f (x) = \frac{3 x^{2}}{x - 1}$
212422	Solve for x	2sin(pi/4-x)+ square root of 3=0	$2 \sin (\frac{π}{4} - x) + \sqrt{3} = 0$
212423	Graph	y=-1/2sin(2x+2/3pi)	$y = - \frac{1}{2} \sin (2 x + \frac{2}{3} π)$
212424	Solve the Inequality for x	-x^2-14x-80>=4x	$- x^{2} - 14 x - 80 \geq 4 x$
212425	Solve the Rational Equation for x	square root of x- square root of x-5=-1	$\sqrt{x} - \sqrt{x - 5} = - 1$
212426	Graph	y>=2x^2 y<-x^2+1	$y \geq 2 x^{2}$ $y < - x^{2} + 1$
212427	Subtract	(7w^4-3wz+8wz^2)-(3w^4+2wz-6wz^2)	$(7 w^{4} - 3 w z + 8 w z^{2}) - (3 w^{4} + 2 w z - 6 w z^{2})$
212428	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+8x^2+21x+30 is divided by x+5	Use synthetic division to find the result when $x^{3} + 8 x^{2} + 21 x + 30$ is divided by $x + 5$
212429	Simplify	fourth root of (x^3)/8	$\sqrt[4]{\frac{x^{3}}{8}}$
212430	Solve for c	12+1/5(10c+5)=59	$12 + \frac{1}{5} (10 c + 5) = 59$
212431	Simplify	(6xy^(3/4))/(3x^(1/2)y^(1/2))	$\frac{6 x y^{\frac{3}{4}}}{3 x^{\frac{1}{2}} y^{\frac{1}{2}}}$
212432	Solve the Inequality for x	-3x+5x-2>-4x+1	$- 3 x + 5 x - 2 > - 4 x + 1$
212433	Solve for x	3x-8>=4(x-1.5)	$3 x - 8 \geq 4 (x - 1.5)$
212434	Graph	x>2 y<=-1/2x-2	$x > 2$ $y \leq - \frac{1}{2} x - 2$
212435	Solve for x	log of 7-x- log of 3x+2=1	$\log (7 - x) - \log (3 x + 2) = 1$
212436	Solve for w	15=6+ square root of 3w-9	$15 = 6 + \sqrt{3 w - 9}$
212437	Write as a Single Logarithm	2/3* log base 2 of 27+5/2* log base 2 of 4	$\frac{2}{3} \cdot \log_{2} (27) + \frac{5}{2} \cdot \log_{2} (4)$
212438	Simplify	3(2x^6y^7)^4	$3 {(2 x^{6} y^{7})}^{4}$
212439	Simplify	(i-2)^3-(i-2)	${(i - 2)}^{3} - (i - 2)$
212440	Solve for y	(2y-2)/(y+3)+(y+3)/(y-3)=5	$\frac{2 y - 2}{y + 3} + \frac{y + 3}{y - 3} = 5$
212441	Graph	x+2y<=3 y>=-2x+1	$x + 2 y \leq 3$ $y \geq - 2 x + 1$
212442	Find All Complex Solutions	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
212443	Find the Degree, Leading Term, and Leading Coefficient	1/3+x	$\frac{1}{3} + x$
212444	Solve Using the Quadratic Formula	x^2+6x=-x+30	$x^{2} + 6 x = - x + 30$
212445	Simplify	3/(4x)*(2x^2)/9	$\frac{3}{4 x} \cdot \frac{2 x^{2}}{9}$
212446	Evaluate	1/2(7-3(6+1))	$\frac{1}{2} (7 - 3 (6 + 1))$
212447	Graph	y=1/3x^3-x^2-4/3	$y = \frac{1}{3} x^{3} - x^{2} - \frac{4}{3}$
212448	Simplify	(x^2-y^2)^2+(2xy)^2	${(x^{2} - y^{2})}^{2} + {(2 x y)}^{2}$
212449	Simplify the Radical Expression	(6^-4*8^-7)^-9	${(6^{- 4} \cdot 8^{- 7})}^{- 9}$
212450	Graph	6z+4-8+2z<-20	$6 z + 4 - 8 + 2 z < - 20$
212451	Solve for a	limit as x approaches 1 of (2x+a)/(x+1)=5	$lim_{x \to 1} \frac{2 x + a}{x + 1} = 5$
212452	Solve the System of Inequalities	5x^2+2y^2<=10 y>=x^2-2x+1	$5 x^{2} + 2 y^{2} \leq 10$ $y \geq x^{2} - 2 x + 1$
212453	Simplify	6-3y+6y-6+6y	$6 - 3 y + 6 y - 6 + 6 y$
212454	Simplify	-7i^26+i^74-2i^31-12i^70	$- 7 i^{26} + i^{74} - 2 i^{31} - 12 i^{70}$
212455	Simplify	3\|-(6-4)\|+2\|1+3\|	$3 \| - (6 - 4) \| + 2 \| 1 + 3 \|$
212456	Find the Product	(4xy^3)/(x^2y)*y/(8x)	$\frac{4 x y^{3}}{x^{2} y} \cdot \frac{y}{8 x}$
212457	Solve by Substitution	2x+2y=10 y=5+x	$2 x + 2 y = 10$ $y = 5 + x$
212458	Evaluate	(-2/7)^2+2(-2/7)-4	${(- \frac{2}{7})}^{2} + 2 (- \frac{2}{7}) - 4$
212459	Find the Holes in the Graph	(-2x-8)/(4x-12)	$\frac{- 2 x - 8}{4 x - 12}$
212460	Evaluate	i^19i^9i^6*i^10	$i^{19} \cdot i^{9} \cdot i^{6} \cdot i^{10}$
212461	Solve the Inequality for x	3 1/2>=1.4x	$3 \frac{1}{2} \geq 1.4 x$
212462	Solve for k	k(k-5)=0	$k (k - 5) = 0$
212463	Solve the System of Equations	y=x^2+16x+32 y=-x^2+2	$y = x^{2} + 16 x + 32$ $y = - x^{2} + 2$
212464	Graph	y>=(x^2+3x+2)/(x+2)	$y \geq \frac{x^{2} + 3 x + 2}{x + 2}$
212465	Evaluate	1+5/8-1/6	$1 + \frac{5}{8} - \frac{1}{6}$
212466	Find the Product	(x+1/3)^4	${(x + \frac{1}{3})}^{4}$
212467	Simplify	cube root of xy^5z^20	$\sqrt[3]{x y^{5} z^{20}}$
212468	Solve for x	(2x)/(x+1)-x/(x+3)=3/(x+3)	$\frac{2 x}{x + 1} - \frac{x}{x + 3} = \frac{3}{x + 3}$
212469	Evaluate	7.5/(2pi)	$\frac{7.5}{2 π}$
212470	Factor	x^4+3x^3+2x^2-16x^2-48x-32	$x^{4} + 3 x^{3} + 2 x^{2} - 16 x^{2} - 48 x - 32$
212471	Simplify the Radical Expression	cube root of 216/27	$\sqrt[3]{\frac{216}{27}}$
212472	Evaluate	\|-15(-7)+13(-8)\|^2-8	${\| - 15 (- 7) + 13 (- 8) \|}^{2} - 8$
212473	Simplify	(3/(10x^3))÷(5/(3x))	$\frac{3}{10 x^{3}} \div \frac{5}{3 x}$
212474	Simplify	((2^3m^4n^-1)/(p^2))^0	${(\frac{2^{3} m^{4} n^{- 1}}{p^{2}})}^{0}$
212475	Multiply	-4x^2(6x^2+x)	$- 4 x^{2} (6 x^{2} + x)$
212476	Simplify	square root of 8* square root of 18*5 square root of 4	$\sqrt{8} \cdot \sqrt{18} \cdot 5 \sqrt{4}$
212477	Solve for x	-1/4(x+1 2/3)=-2 1/5	$- \frac{1}{4} (x + 1 \frac{2}{3}) = - 2 \frac{1}{5}$
212478	Solve by Graphing	y=1/3x-2 x+y=6	$y = \frac{1}{3} x - 2$ $x + y = 6$
212479	Combine Like Terms	10p+2p+3p	$10 p + 2 p + 3 p$
212480	Simplify	2x-5x^3-7-4x^2	$2 x - 5 x^{3} - 7 - 4 x^{2}$
212481	Multiply	square root of 3x^2y* cube root of 27x^3y^2	$\sqrt{3 x^{2} y} \cdot \sqrt[3]{27 x^{3} y^{2}}$
212482	Solve for x	8^(x^2-16)=1	$8^{x^{2} - 16} = 1$
212483	Evaluate	(12x^5y^8)/(3y^3)*(2(x^6)^2)/(y^-3)	$\frac{12 x^{5} y^{8}}{3 y^{3}} \cdot \frac{2 {(x^{6})}^{2}}{y^{- 3}}$
212484	Solve for x	1-8/(x-5)=3/x	$1 - \frac{8}{x - 5} = \frac{3}{x}$
212485	Find the x and y Intercepts	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
212486	Evaluate	6^5*(6^-2)^3	$6^{5} \cdot {(6^{- 2})}^{3}$
212487	Simplify	square root of 4x^11* fourth root of 16x^8	$\sqrt{4 x^{11}} \cdot \sqrt[4]{16 x^{8}}$
212488	Graph	yy>2	$y \cdot y > 2$
212489	Solve for x	1/6-3/x=1/(6x)	$\frac{1}{6} - \frac{3}{x} = \frac{1}{6 x}$
212490	Simplify	( square root of 49x)/( square root of 2)	$\frac{\sqrt{49 x}}{\sqrt{2}}$
212491	Solve for h	5(3h-18)=-7+20h+17	$5 (3 h - 18) = - 7 + 20 h + 17$
212492	Find the Roots (Zeros)	3x(x+6)	$3 x (x + 6)$
212493	Simplify	(pq^-3r^-4)/(3y^-5)	$\frac{p q^{- 3} r^{- 4}}{3 y^{- 5}}$
212494	Solve the Rational Equation for x	square root of x=-3	$\sqrt{x} = - 3$
212495	Simplify	3x^2+7x-(x+4)^2-9	$3 x^{2} + 7 x - {(x + 4)}^{2} - 9$
212496	Solve for x	16x^4-1=0	$16 x^{4} - 1 = 0$
212497	Find f(g(x))	f(x)=x^2-5x , g(x)=x^2-7x+10	$f (x) = x^{2} - 5 x$ , $g (x) = x^{2} - 7 x + 10$
212498	Simplify	square root of -(x+2)^8	$\sqrt{- {(x + 2)}^{8}}$
212499	Simplify	-3xx^3-3x	$- 3 x \cdot x^{3} \cdot - 3 x$
212500	Solve the Rational Equation for x	5^(x+1)+5^(x-1)=26	$5^{x + 1} + 5^{x - 1} = 26$