Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226101	Solve the Inequality for x	5x^2-22x+1>=-7	$5 x^{2} - 22 x + 1 \geq - 7$
226102	Simplify	x^2y^2*x^6y^7	$x^{2} y^{2} \cdot x^{6} y^{7}$
226103	Solve for A	r = square root of A/pi	$r = \sqrt{\frac{A}{π}}$
226104	Solve for y	x+3i=9-yi	$x + 3 i = 9 - y i$
226105	Graph	g(x)=(1/3x)^3	$g (x) = {(\frac{1}{3} x)}^{3}$
226106	Simplify	(3x^2+x)^3	${(3 x^{2} + x)}^{3}$
226107	Solve for x	4^x=3/2x+3	$4^{x} = \frac{3}{2} x + 3$
226108	Convert to Interval Notation	x<1 or x>=5	$x < 1$ or $x \geq 5$
226109	Solve the Inequality for y	-8y<-3y+5	$- 8 y < - 3 y + 5$
226110	Simplify	12 square root of 4-5 square root of 4+2 square root of 4	$12 \sqrt{4} - 5 \sqrt{4} + 2 \sqrt{4}$
226111	Simplify	(6a^2)/(15a+10)+5/(15a+10)	$\frac{6 a^{2}}{15 a + 10} + \frac{5}{15 a + 10}$
226112	Solve for x	cube root of 2x^3-1=x	$\sqrt[3]{2 x^{3} - 1} = x$
226113	Solve for x	\|x+2\|+5<4	$\| x + 2 \| + 5 < 4$
226114	Find the Product	x/(x-5)*(2x)/(x+4)	$\frac{x}{x - 5} \cdot \frac{2 x}{x + 4}$
226115	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+9x^2+7x+10 is divided by x+2	Use synthetic division to find the result when $4 x^{3} + 9 x^{2} + 7 x + 10$ is divided by $x + 2$
226116	Simplify	a/b*b/(2a)	$\frac{a}{b} \cdot \frac{b}{2 a}$
226117	Divide	(x^3-4x^2)/(x^2)	$\frac{x^{3} - 4 x^{2}}{x^{2}}$
226118	Write in Slope-Intercept Form	(3,4) and (0,5)	$(3, 4)$ and $(0, 5)$
226119	Graph	(2, square root of 2)	$(2, \sqrt{2})$
226120	Simplify	(2x^2y^-2m^3)^4(2x^4y^5m^8)	${(2 x^{2} y^{- 2} m^{3})}^{4} (2 x^{4} y^{5} m^{8})$
226121	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-8) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(4, - 8)$ and has a slope of $- \frac{1}{2}$ ?
226122	Graph Using a Table of Values	y=- square root of 16-x^2	$y = - \sqrt{16 - x^{2}}$
226123	Evaluate	(( square root of 2)/2)÷((- square root of 2)/2)	$\frac{\sqrt{2}}{2} \div \frac{- \sqrt{2}}{2}$
226124	Simplify the Radical Expression	(49^(3/8)*49^(7/8))/(7^(5/4))	$\frac{49^{\frac{3}{8}} \cdot 49^{\frac{7}{8}}}{7^{\frac{5}{4}}}$
226125	Solve the Inequality for x	x+4<2x-x	$x + 4 < 2 x - x$
226126	Write the Fraction in Simplest Form	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
226127	Evaluate	((3^3)^2+(3^2)^3+3^2*3^4)/9	$\frac{{(3^{3})}^{2} + {(3^{2})}^{3} + 3^{2} \times 3^{4}}{9}$
226128	Evaluate	square root of x-12=2- square root of x	$\sqrt{x - 12} = 2 - \sqrt{x}$
226129	Solve for x	4(x-y)=2x+3	$4 (x - y) = 2 x + 3$
226130	Evaluate	square root of 4x^2+4x+1	$\sqrt{4 x^{2} + 4 x + 1}$
226131	Solve for x	x÷15=8 1/3	$x \div 15 = 8 \frac{1}{3}$
226132	Graph	-4x<=-28 or x/4<1	$- 4 x \leq - 28$ or $\frac{x}{4} < 1$
226133	Simplify	5/(2 square root of 3)- square root of 3	$\frac{5}{2 \sqrt{3}} - \sqrt{3}$
226134	Solve for n	(5n-7)(n-7)=0	$(5 n - 7) (n - 7) = 0$
226135	Simplify	(2x^-1+2y^-1)/(9(x+y)^-1)	$\frac{2 x^{- 1} + 2 y^{- 1}}{9 {(x + y)}^{- 1}}$
226136	Divide Using Long Polynomial Division	3x^3+23x^2+23x+6 divided by 3x+2	$3 x^{3} + 23 x^{2} + 23 x + 6$ divided by $3 x + 2$
226137	Find g(f(x))	f(x)=4x^3-10 g(x)=(3x-4)/2	$f (x) = 4 x^{3} - 10$ $g (x) = \frac{3 x - 4}{2}$
226138	Find the Holes in the Graph	y=(x-1)/((x+2)(x-1))	$y = \frac{x - 1}{(x + 2) (x - 1)}$
226139	Solve the Absolute Value Inequality for c	\|6-3c\|=14	$\| 6 - 3 c \| = 14$
226140	Find the Product	(x+y+3)(x+y-4)	$(x + y + 3) (x + y - 4)$
226141	Solve for n	(c^-9)/(c^5)=1/(c^n)	$\frac{c^{- 9}}{c^{5}} = \frac{1}{c^{n}}$
226142	Find the LCM	4x^2-7 and 6x^2-5	$4 x^{2} - 7$ and $6 x^{2} - 5$
226143	Divide	(8y^2)/(2 fourth root of y)	$\frac{8 y^{2}}{2 \sqrt[4]{y}}$
226144	Solve Using the Quadratic Formula	17x^2-21x=-3x^2-5	$17 x^{2} - 21 x = - 3 x^{2} - 5$
226145	Factor by Grouping	9-6a-24a^2	$9 - 6 a - 24 a^{2}$
226146	Find the Excluded Values	(x+6)/(x^2-7x-18)-(2x)/(x-9)	$\frac{x + 6}{x^{2} - 7 x - 18} - \frac{2 x}{x - 9}$
226147	Simplify	(4^-6)/((4^-3)^2)	$\frac{4^{- 6}}{{(4^{- 3})}^{2}}$
226148	Simplify	((6a^2)/(4b^4))^2*(5b)/(3a)	${(\frac{6 a^{2}}{4 b^{4}})}^{2} \cdot \frac{5 b}{3 a}$
226149	Evaluate	(-( square root of 3)/2)	$(- \frac{\sqrt{3}}{2})$
226150	Solve for x	log of 6x-3=-4	$\log (6 x) - 3 = - 4$
226151	Simplify	a/(2^3)(64)-(12a)÷6	$\frac{a}{2^{3}} (64) - 12 a \div 6$
226152	Solve by Substitution	-5x+y=1 -10x+2y=-2	$- 5 x + y = 1$ $- 10 x + 2 y = - 2$
226153	Convert to a Decimal	Given the perimeter of a square is 12.4cm ; what is the side length of the square?	Given the perimeter of a square is $12.4 cm$ ; what is the side length of the square?
226154	Graph	W(t)=-x(x-3)	$W (t) = - x (x - 3)$
226155	Solve the Rational Equation for x	3+(2x)/(x-4)=8/(x-4)	$3 + \frac{2 x}{x - 4} = \frac{8}{x - 4}$
226156	Simplify	((4y^4)/(8y^0))^2	${(\frac{4 y^{4}}{8 y^{0}})}^{2}$
226157	Solve the Inequality for m	\|(m-12)/4\|<19	$\| \frac{m - 12}{4} \| < 19$
226158	Find the LCM	5 and 9	$5$ and $9$
226159	Factor	x^2+(a-b)x-ab	$x^{2} + (a - b) x - a b$
226160	Solve for x	x^(1/2) = square root of x	$x^{\frac{1}{2}} = \sqrt{x}$
226161	Solve for x	(2x)/5+(3x)/2-(2x)/3=37	$\frac{2 x}{5} + \frac{3 x}{2} - \frac{2 x}{3} = 37$
226162	Simplify the Radical Expression	fourth root of 4^3	$\sqrt[4]{4^{3}}$
226163	Divide	(2u^2-7)÷(u+3)	$(2 u^{2} - 7) \div (u + 3)$
226164	Solve for x	3 cube root of x=15	$3 \sqrt[3]{x} = 15$
226165	Solve for r	cube root of r+19=3	$\sqrt[3]{r + 19} = 3$
226166	Multiply	(5x^3+2y)(5x^3-2y)	$(5 x^{3} + 2 y) (5 x^{3} - 2 y)$
226167	Evaluate	1/2 natural log of e^7	$\frac{1}{2} \ln (e^{7})$
226168	Solve for x	-2\|1+3x\|<8	$- 2 \| 1 + 3 x \| < 8$
226169	Find the 6th Term	7/2 , 9/4 , 1 , -1/4 , -3/2	$\frac{7}{2}$ , $\frac{9}{4}$ , $1$ , $- \frac{1}{4}$ , $- \frac{3}{2}$
226170	Find the Distance Between Two Points	(4,-9) and (-5,3)	$(4, - 9)$ and $(- 5, 3)$
226171	Find the Slope and y-intercept	y=-2+3	$y = - 2 + 3$
226172	Simplify	5^0*(5^7)/(5^5)	$5^{0} \cdot \frac{5^{7}}{5^{5}}$
226173	Simplify	square root of xy^2	$\sqrt{x y^{2}}$
226174	Solve for x	3(2-4(x+1))=-x	$3 (2 - 4 (x + 1)) = - x$
226175	Find the Roots (Zeros)	y=x^4-2x^3+x^2-8x-12	$y = x^{4} - 2 x^{3} + x^{2} - 8 x - 12$
226176	Find the Holes in the Graph	(2x^2-5x+2)/(x^2-4)	$\frac{2 x^{2} - 5 x + 2}{x^{2} - 4}$
226177	Simplify the Radical Expression	square root of (x^2+6)^16	$\sqrt{{(x^{2} + 6)}^{16}}$
226178	Evaluate	(2(3)^3)/3	$\frac{2 {(3)}^{3}}{3}$
226179	Simplify	square root of 7i* square root of 6i	$\sqrt{7} i \cdot \sqrt{6} i$
226180	Solve for x	log base 8 of x-3 = log base 8 of 2	$\log_{8} (x) - 3 = \log_{8} (2)$
226181	Solve for q	h(q) = fourth root of 4q+11 ; solve for h(q)=1	$h (q) = \sqrt[4]{4 q + 11}$ ; solve for $h (q) = 1$
226182	Convert to Interval Notation	-5x-3>=2 or 4x-2>=5	$- 5 x - 3 \geq 2$ or $4 x - 2 \geq 5$
226183	Solve Using the Quadratic Formula	-5x^2-x+56=x+15	$- 5 x^{2} - x + 56 = x + 15$
226184	Solve for x	3x^2+2xy=0	$3 x^{2} + 2 x y = 0$
226185	Evaluate Using the Given Value	d/(dx)(e^xtan(x)) at x=0	$\frac{d}{d x} (e^{x} \tan (x))$ at $x = 0$
226186	Simplify the Radical Expression	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
226187	Graph Using a Table of Values	y=(x-3)^2-4	$y = {(x - 3)}^{2} - 4$
226188	Solve for x	(x^2-11x+30)/(x-6)=1	$\frac{x^{2} - 11 x + 30}{x - 6} = 1$
226189	Evaluate	log base 5 of 0.2+ log base 0.5 of 4	$\log_{5} (0.2) + \log_{0.5} (4)$
226190	Solve for x	17/x-11/(x+3)=(5x+8)/(x+3)	$\frac{17}{x} - \frac{11}{x + 3} = \frac{5 x + 8}{x + 3}$
226191	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^2+10x^7-7x^3-x^4	$f (x) = 8 x^{2} + 10 x^{7} - 7 x^{3} - x^{4}$
226192	Solve for x	f(-x)=3x^2+4x-2	$f (- x) = 3 x^{2} + 4 x - 2$
226193	Multiply	8*3/26	$8 \times \frac{3}{26}$
226194	Solve for m	(5m-3)/63=9/21	$\frac{5 m - 3}{63} = \frac{9}{21}$
226195	Simplify	cube root of 9(2 cube root of 3+3 cube root of 3-4 cube root of 3)	$\sqrt[3]{9} (2 \sqrt[3]{3} + 3 \sqrt[3]{3} - 4 \sqrt[3]{3})$
226196	Evaluate	cos(0)-sin(0)	$\cos (0) - \sin (0)$
226197	Evaluate	(N^4)^(3/2)	${(N^{4})}^{\frac{3}{2}}$
226198	Evaluate	70% of 30	$70 %$ of $30$
226199	Solve for w	4w^2+19w+18=0	$4 w^{2} + 19 w + 18 = 0$
226200	Simplify	y^2+3y^4-7y+2y^3-4	$y^{2} + 3 y^{4} - 7 y + 2 y^{3} - 4$