Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231101	Find the Inverse	y=1/(2x)	$y = \frac{1}{2 x}$
231102	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+27x^2+26x+5 is divided by 4x+1	Use the long division method to find the result when $12 x^{3} + 27 x^{2} + 26 x + 5$ is divided by $4 x + 1$
231103	Solve for s	s^2-4s-6=6	$s^{2} - 4 s - 6 = 6$
231104	Solve the Inequality for x	-2x-3/2(-4x+5)<=-3/2	$- 2 x - \frac{3}{2} (- 4 x + 5) \leq - \frac{3}{2}$
231105	Evaluate	5y(8y-3)	$5 y (8 y - 3)$
231106	Simplify	7y-2yi^2	$7 y - 2 y i^{2}$
231107	Find the Product	(2x^4+5y^2)(2x^4-5y^2)	$(2 x^{4} + 5 y^{2}) (2 x^{4} - 5 y^{2})$
231108	Evaluate	3^2*pi	$3^{2} \cdot π$
231109	Evaluate	5 cube root of -64+45	$5 \sqrt[3]{- 64} + 45$
231110	Simplify	9^24*7^-36	$9^{24} \cdot 7^{- 36}$
231111	Solve the Inequality for x	-2(-4/5x+3)-x<=3x	$- 2 (- \frac{4}{5} x + 3) - x \leq 3 x$
231112	Graph	x-y>7 8x+3y>=12	$x - y > 7$ $8 x + 3 y \geq 12$
231113	Simplify	((2x^2)/(5x^3))^-2	${(\frac{2 x^{2}}{5 x^{3}})}^{- 2}$
231114	Solve for x	y=x^7	$y = x^{7}$
231115	Solve for c	8x+4-(6x^2+x-3)=ax^2+bx+c	$8 x + 4 - (6 x^{2} + x - 3) = a x^{2} + b x + c$
231116	Find All Complex Solutions	11p^2-17p-20=p^2	$11 p^{2} - 17 p - 20 = p^{2}$
231117	Find the Exact Value	1/6+3 2/4	$\frac{1}{6} + 3 \frac{2}{4}$
231118	Solve the Rational Equation for x	(x-2)^(1/3)=5	${(x - 2)}^{\frac{1}{3}} = 5$
231119	Write in Standard Form	i^-15	$i^{- 15}$
231120	Evaluate	log base sixth root of 13 of 13	$\log_{\sqrt[6]{13}} (13)$
231121	Find the Roots (Zeros)	x^4=1	$x^{4} = 1$
231122	Simplify	(6b^3)/( square root of 4b^9)	$\frac{6 b^{3}}{\sqrt{4 b^{9}}}$
231123	Solve for z	x=2/9(y-z)	$x = \frac{2}{9} (y - z)$
231124	Evaluate	2 square root of 3x+1=4x	$2 \sqrt{3 x + 1} = 4 x$
231125	Multiply	(x^2-64)/(7x)*(3x^3)/(x^2+x-72)	$\frac{x^{2} - 64}{7 x} \cdot \frac{3 x^{3}}{x^{2} + x - 72}$
231126	Find the LCM	7 and 28	$7$ and $28$
231127	Write the Fraction in Simplest Form	2(1/5m-2/5)+3/5	$2 (\frac{1}{5} m - \frac{2}{5}) + \frac{3}{5}$
231128	Factor	x^3+3x+2x+6	$x^{3} + 3 x + 2 x + 6$
231129	Evaluate	(tan(pi/2-x)csc(x))/(csc(x)^2)	$\frac{\tan (\frac{π}{2} - x) \csc (x)}{\csc^{2} (x)}$
231130	Factor by Grouping	27x^4+54x^3-64x-128	$27 x^{4} + 54 x^{3} - 64 x - 128$
231131	Solve by Substitution	3x+2y=7 and y=-3x+11	$3 x + 2 y = 7$ and $y = - 3 x + 11$
231132	Find the Slope and y-intercept	y+1/2x=0	$y + \frac{1}{2} x = 0$
231133	Solve for x	4 cube root of x+2=0	$4 \sqrt[3]{x} + 2 = 0$
231134	Simplify	6x*7x^-6	$6 x \cdot 7 x^{- 6}$
231135	Divide Using Long Polynomial Division	4x^3+18x^2+22x+5 divided by 2x+5	$4 x^{3} + 18 x^{2} + 22 x + 5$ divided by $2 x + 5$
231136	Solve the System of Equations	y=x y=-x	$y = x$ $y = - x$
231137	Find the x and y Intercepts	cube root of x-1	$\sqrt[3]{x - 1}$
231138	Find the Roots (Zeros)	x^4+2x^3+7x^2-8x+12	$x^{4} + 2 x^{3} + 7 x^{2} - 8 x + 12$
231139	Solve for a	square root of x square root of x=x^a	$\sqrt{x \sqrt{x}} = x^{a}$
231140	Graph	3x-3y=6 -x+y=-2	$3 x - 3 y = 6$ $- x + y = - 2$
231141	Find the Inverse	f(x)=4 fifth root of (x^7)/7	$f (x) = 4 \sqrt[5]{\frac{x^{7}}{7}}$
231142	Simplify the Radical Expression	(16 1/4)^3	${(16 \frac{1}{4})}^{3}$
231143	Solve the System of Inequalities	3x+11<3 or 4x-1>=9	$3 x + 11 < 3$ or $4 x - 1 \geq 9$
231144	Graph	1/2>-2x+7/2	$\frac{1}{2} > - 2 x + \frac{7}{2}$
231145	Graph	4.5>-m/6	$4.5 > - \frac{m}{6}$
231146	Graph	y<=2x 2 y>=-5x+4	$y \leq 2 x$ $2$ $y \geq - 5 x + 4$
231147	Evaluate	-3!	$- 3!$
231148	Solve for x	2x^2(x^2-1)=0	$2 x^{2} (x^{2} - 1) = 0$
231149	Evaluate	cos(pi/4)-cos(pi/4)	$\cos (\frac{π}{4}) - \cos (\frac{π}{4})$
231150	Solve for u	cos(2u)=cos(u)^2-sin(u)^2	$\cos (2 u) = \cos^{2} (u) - \sin^{2} (u)$
231151	Simplify	4/(3x+6)+(x+1)/(x^2-4)	$\frac{4}{3 x + 6} + \frac{x + 1}{x^{2} - 4}$
231152	Graph Using a Table of Values	f(x)=(x-2)/(x^2+3x+2)	$f (x) = \frac{x - 2}{x^{2} + 3 x + 2}$
231153	Solve for x	3x+5x=-2-38	$3 x + 5 x = - 2 - 38$
231154	Solve the Inequality for x	x+1<(5x-3)/(x-3)	$x + 1 < \frac{5 x - 3}{x - 3}$
231155	Simplify	(x^2+7x+12)/(3x-4)	$\frac{x^{2} + 7 x + 12}{3 x - 4}$
231156	Divide	(8x^4+6x^2-2x+4)÷(2x-1)	$(8 x^{4} + 6 x^{2} - 2 x + 4) \div (2 x - 1)$
231157	Solve the Inequality for a	a/7-1<=-5	$\frac{a}{7} - 1 \leq - 5$
231158	Simplify the Radical Expression	fourth root of 5/(2y^2)	$\sqrt[4]{\frac{5}{2 y^{2}}}$
231159	Solve the System of Inequalities	y<x+3 y<=-3x-5	$y < x + 3$ $y \leq - 3 x - 5$
231160	Simplify	5/(3 square root of 5+ square root of 2)	$\frac{5}{3 \sqrt{5} + \sqrt{2}}$
231161	Solve for r	2*18^(10r-3)-1=73	$2 \cdot 18^{10 r - 3} - 1 = 73$
231162	Solve for x	2+ square root of 3x=7	$2 + \sqrt{3 x} = 7$
231163	Evaluate	arctan(2/2)	$\arctan (\frac{2}{2})$
231164	Simplify	-1/(2- square root of 15)	$\frac{- 1}{2 - \sqrt{15}}$
231165	Simplify	(f^7f^4)/(f^0f^5)	$\frac{f^{7} \cdot f^{4}}{f^{0} \cdot f^{5}}$
231166	Graph	2x-y<=5 x+2y>2	$2 x - y \leq 5$ $x + 2 y > 2$
231167	Write in Standard Form	4x(2x-3)-5(3x-4)	$4 x (2 x - 3) - 5 (3 x - 4)$
231168	Write in Standard Form	(5y^2-2y+1)-(y^2+y+3)	$(5 y^{2} - 2 y + 1) - (y^{2} + y + 3)$
231169	Find the Exact Value	sec(pi)-csc(pi/2)	$\sec (π) - \csc (\frac{π}{2})$
231170	Solve for y	-2/(y+3)=3/y	$\frac{- 2}{y + 3} = \frac{3}{y}$
231171	Evaluate	(x^-6)/(x^-8y^-5y^2)	$\frac{x^{- 6}}{x^{- 8} y^{- 5} y^{2}}$
231172	Simplify	(5y^2-2y+1)-(y^2+y+3)	$(5 y^{2} - 2 y + 1) - (y^{2} + y + 3)$
231173	Factor	x^2-10x-81-y^2-18y+25	$x^{2} - 10 x - 81 - y^{2} - 18 y + 25$
231174	Solve for x	1/4x+1=-1/2x+3	$\frac{1}{4} x + 1 = - \frac{1}{2} x + 3$
231175	Convert to a Percentage	0.2*100%	$0.2 \cdot 100 %$
231176	Evaluate	2500*e^(0.025(4))	$2500 \cdot e^{0.025 (4)}$
231177	Solve for x	2x^2-7=-7x-3	$2 x^{2} - 7 = - 7 x - 3$
231178	Simplify	(-2 square root of 3)/4	$\frac{- 2 \sqrt{3}}{4}$
231179	Simplify	2a-(-3a)-7a+8b-b+(-2b)	$2 a - (- 3 a) - 7 a + 8 b - b + (- 2 b)$
231180	Simplify	cot((5pi)/3)	$\cot (\frac{5 π}{3})$
231181	Find the Product	( square root of 2-7)( square root of 2+7)	$(\sqrt{2} - 7) (\sqrt{2} + 7)$
231182	Simplify	4/(11+X)+(X+2)/(11+X)	$\frac{4}{11 + X} + \frac{X + 2}{11 + X}$
231183	Simplify	4a^3+6a^2b^3+6a^3+9a^2b^3	$4 a^{3} + 6 a^{2} b^{3} + 6 a^{3} + 9 a^{2} b^{3}$
231184	Evaluate	(3e^2-5e+7)(6e+1)	$(3 e^{2} - 5 e + 7) (6 e + 1)$
231185	Evaluate	square root of 3*2 square root of 2	$\sqrt{3} \cdot 2 \sqrt{2}$
231186	Simplify	(2x^2+7x-15)/(3x^2+16x+5)*(3x^2-2x-1)/(2x^2-x-3)	$\frac{2 x^{2} + 7 x - 15}{3 x^{2} + 16 x + 5} \cdot \frac{3 x^{2} - 2 x - 1}{2 x^{2} - x - 3}$
231187	Simplify	square root of 2a(2 square root of 8a+ square root of 2a^3)	$\sqrt{2 a} (2 \sqrt{8 a} + \sqrt{2 a^{3}})$
231188	Solve for x	2x=y-3	$2 x = y - 3$
231189	Evaluate	cube root of 5^2* square root of 5	$\sqrt[3]{5^{2}} \cdot \sqrt{5}$
231190	Find the LCM	14 and 7	$14$ and $7$
231191	Graph	y<-1 or y>=1	$y < - 1$ or $y \geq 1$
231192	Find the x and y Intercepts	f(x)=-(x^2+1)(x-4)	$f (x) = - (x^{2} + 1) (x - 4)$
231193	Solve for x	x+3/2=-7/4	$x + \frac{3}{2} = - \frac{7}{4}$
231194	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-2x^2+3x-4 is divided by x-1	Use synthetic division to find the result when $3 x^{3} - 2 x^{2} + 3 x - 4$ is divided by $x - 1$
231195	Evaluate	square root of 3n+12 = square root of n+8	$\sqrt{3 n + 12} = \sqrt{n + 8}$
231196	Simplify the Radical Expression	-9 square root of 3- square root of 9+ square root of 48+ square root of 12	$- 9 \sqrt{3} - \sqrt{9} + \sqrt{48} + \sqrt{12}$
231197	Solve Using the Quadratic Formula	(x+3)(x+2)=x+13	$(x + 3) (x + 2) = x + 13$
231198	Simplify	((8x^2y^2z)/(xz^3))÷((10xy)/(x^4z))	$\frac{8 x^{2} y^{2} z}{x z^{3}} \div \frac{10 x y}{x^{4} z}$
231199	Simplify	(8- square root of 12)(4+ square root of 3)	$(8 - \sqrt{12}) (4 + \sqrt{3})$
231200	Determine if Dependent, Independent, or Inconsistent	3x+y=-2 6x+2y=10	$3 x + y = - 2$ $6 x + 2 y = 10$