Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208401	Subtract	(10n+4n^7-5n^6)-(11n^6+7n^7-18n)	$(10 n + 4 n^{7} - 5 n^{6}) - (11 n^{6} + 7 n^{7} - 18 n)$
208402	Write as a Single Logarithm	1/3 log base b of x-1- log base b of x+1	$\frac{1}{3} \log_{b} (x - 1) - \log_{b} (x + 1)$
208403	Solve for x	-1+1/3=8/(3x)	$- 1 + \frac{1}{3} = \frac{8}{3 x}$
208404	Graph	3x+5y<=10 x-y<-1	$3 x + 5 y \leq 10$ $x - y < - 1$
208405	Simplify	i^25i^14i^7*i^17	$i^{25} \cdot i^{14} \cdot i^{7} \cdot i^{17}$
208406	Evaluate	3 square root of x+3=15	$3 \sqrt{x} + 3 = 15$
208407	Write the Fraction in Simplest Form	(3x^9)/((5x^-4)^2)	$\frac{3 x^{9}}{{(5 x^{- 4})}^{2}}$
208408	Solve for x	2/x+2/7=(3x-2)/(7x)	$\frac{2}{x} + \frac{2}{7} = \frac{3 x - 2}{7 x}$
208409	Simplify	-2^1	$- 2^{1}$
208410	Solve for x	3 1/3-x=8/9	$3 \frac{1}{3} - x = \frac{8}{9}$
208411	Solve by Substitution	y=-8 y=-2x-12	$y = - 8$ $y = - 2 x - 12$
208412	Write in Standard Form	(2,7) and (-5,2)	$(2, 7)$ and $(- 5, 2)$
208413	Find the x and y Intercepts	-3x=9	$- 3 x = 9$
208414	Convert to Radical Form	(42/x)^(1/4)	${(\frac{42}{x})}^{\frac{1}{4}}$
208415	Evaluate	(-2 1/4)÷(-1 1/2)	$- 2 \frac{1}{4} \div (- 1 \frac{1}{2})$
208416	Simplify	x^0+y^0	$x^{0} + y^{0}$
208417	Simplify the Radical Expression	(2 square root of 8+3 square root of 5)(6 square root of 8+7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$
208418	Multiply	(5x^2y)(3xy)(2xy^2)	$(5 x^{2} y) (3 x y) (2 x y^{2})$
208419	Evaluate	y=0.5(3/4)^3	$y = 0.5 {(\frac{3}{4})}^{3}$
208420	Simplify	((4x^2+2x)/(x^2+x-2))/((8x^2+4x)/(3x^2+10x+8))	$\frac{\frac{4 x^{2} + 2 x}{x^{2} + x - 2}}{\frac{8 x^{2} + 4 x}{3 x^{2} + 10 x + 8}}$
208421	Simplify	(1+(b^2)/a)/(a/2-a/b)	$\frac{1 + \frac{b^{2}}{a}}{\frac{a}{2} - \frac{a}{b}}$
208422	Solve for x	square root of 9x-2 = square root of x+12	$\sqrt{9 x} - 2 = \sqrt{x + 12}$
208423	Evaluate	52 choose 26	${}_{52}C_{26}$
208424	Simplify	(k^4m^2)/(k^-2(m^-2)^-4)	$\frac{k^{4} m^{2}}{k^{- 2} {(m^{- 2})}^{- 4}}$
208425	Find the Degree, Leading Term, and Leading Coefficient	1-1/7x^3+10x^2	$1 - \frac{1}{7} x^{3} + 10 x^{2}$
208426	Evaluate	1/2*(-2/( square root of 3))	$\frac{1}{2} \cdot (- \frac{2}{\sqrt{3}})$
208427	Find the End Behavior	y=-2x^2-3x+4	$y = - 2 x^{2} - 3 x + 4$
208428	Solve for x	square root of 5x-7 = square root of x-10	$\sqrt{5 x - 7} = \sqrt{x - 10}$
208429	Solve for x	10/(2x-3)=x-1	$\frac{10}{2 x - 3} = x - 1$
208430	Solve for x	(x+2)/(x+4)-(3x)/(4-x)=(3x)/(x-4)	$\frac{x + 2}{x + 4} - \frac{3 x}{4 - x} = \frac{3 x}{x - 4}$
208431	Simplify	(1/2x-3)+(1/6x+1)	$(\frac{1}{2} x - 3) + (\frac{1}{6} x + 1)$
208432	Evaluate	7^x=6^(x+7)	$7^{x} = 6^{x + 7}$
208433	Evaluate	fourth root of 1296/25	$\sqrt[4]{\frac{1296}{25}}$
208434	Simplify	-(2^2)^3	$- {(2^{2})}^{3}$
208435	Find the Holes in the Graph	(x^2-5x)/(2x^2)	$\frac{x^{2} - 5 x}{2 x^{2}}$
208436	Solve for x	(3(x+4))/2+1=-7	$\frac{3 (x + 4)}{2} + 1 = - 7$
208437	Write in Standard Form	8x+y^2-2y=64-y^2	$8 x + y^{2} - 2 y = 64 - y^{2}$
208438	Subtract	2x^2+6x-5-7x^2+3x+4	$2 x^{2} + 6 x - 5 - 7 x^{2} + 3 x + 4$
208439	Evaluate	9+83-(52)	$9 + 8 \cdot 3 - (5 \cdot 2)$
208440	Find the x and y Intercepts	(x^2-5x)/(-2x^2)	$\frac{x^{2} - 5 x}{- 2 x^{2}}$
208441	Subtract	(4x^2+2x-4)-(-5-4x+4x^2+x^3)	$(4 x^{2} + 2 x - 4) - (- 5 - 4 x + 4 x^{2} + x^{3})$
208442	Find Where Undefined/Discontinuous	y=5/((x+1)^2-1)	$y = \frac{5}{{(x + 1)}^{2} - 1}$
208443	Determine if a Polynomial	-p^2+9p^-5-p^3	$- p^{2} + 9 p^{- 5} - p^{3}$
208444	Graph	y=1/3x-2 x+y=6	$y = \frac{1}{3} x - 2$ $x + y = 6$
208445	Simplify	((3x^-2)^-1)/(3x^2)	$\frac{{(3 x^{- 2})}^{- 1}}{3 x^{2}}$
208446	Solve for x	4x-x/2-3=1/2	$4 x - \frac{x}{2} - 3 = \frac{1}{2}$
208447	Solve the Rational Equation for x	square root of x+2+6=5	$\sqrt{x + 2} + 6 = 5$
208448	Simplify	4x+x-11-5x+25+4x	$4 x + x - 11 - 5 x + 25 + 4 x$
208449	Simplify	i^8i^15i^28*i^25	$i^{8} \cdot i^{15} \cdot i^{28} \cdot i^{25}$
208450	Solve for n	x^2+11x+121/4=(x+n)^2	$x^{2} + 11 x + \frac{121}{4} = {(x + n)}^{2}$
208451	Solve for y	4 square root of 7-8y+3=15	$4 \sqrt{7 - 8 y} + 3 = 15$
208452	Write Using Positive Exponents	6x^4x^-10	$6 x^{4} x^{- 10}$
208453	Convert to Radical Form	1/((x-3)^(-1/2))	$\frac{1}{{(x - 3)}^{- \frac{1}{2}}}$
208454	Simplify	x4/3*x2/3	$x \frac{4}{3} \cdot x \frac{2}{3}$
208455	Find the Degree, Leading Term, and Leading Coefficient	1-(x^3)/8	$1 - \frac{x^{3}}{8}$
208456	Evaluate	square root of 2x-1=5	$\sqrt{2 x - 1} = 5$
208457	Solve for x	-2=-5+ square root of x+7	$- 2 = - 5 + \sqrt{x + 7}$
208458	Simplify	7x^3y(x^2y-3x+2)+5x^4y	$7 x^{3} y (x^{2} y - 3 x + 2) + 5 x^{4} y$
208459	Evaluate	(j^-13)(j^4)(j^6)	$(j^{- 13}) (j^{4}) (j^{6})$
208460	Find the Excluded Values	9/(15a-15)	$\frac{9}{15 a - 15}$
208461	Simplify	(3/10)÷((3n)/5)	$\frac{3}{10} \div \frac{3 n}{5}$
208462	Solve for c	(2c)/3-(4c)/5=7	$\frac{2 c}{3} - \frac{4 c}{5} = 7$
208463	Simplify	(ab)(6a^5b)(-ab)	$(a b) (6 a^{5} b) (- a b)$
208464	Multiply	( square root of 3)/( square root of 8)	$\frac{\sqrt{3}}{\sqrt{8}}$
208465	Solve the System of Equations	y=5+6x y=6x+5	$y = 5 + 6 x$ $y = 6 x + 5$
208466	Solve for x	4+3^(x+1)=8	$4 + 3^{x + 1} = 8$
208467	Rationalize the Denominator	( square root of 3x^12y^10)/( square root of 5x^6y^3)	$\frac{\sqrt{3 x^{12} y^{10}}}{\sqrt{5 x^{6} y^{3}}}$
208468	Find the x and y Intercepts	f(x)=- square root of x	$f (x) = - \sqrt{x}$
208469	Simplify	cube root of (2x)/(3y)	$\sqrt[3]{\frac{2 x}{3 y}}$
208470	Simplify	((9m^4n^10)/(-3m^2n^5))-1	$(\frac{9 m^{4} n^{10}}{- 3 m^{2} n^{5}}) - 1$
208471	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4+8-4x^3-2x^2-2x	$f (x) = x^{4} + 8 - 4 x^{3} - 2 x^{2} - 2 x$
208472	Simplify the Radical Expression	cube root of (6b^2)/c	$\sqrt[3]{\frac{6 b^{2}}{c}}$
208473	Simplify	x+3x+6x+x	$x + 3 x + 6 x + x$
208474	Find the x and y Intercepts	4y-1=3	$4 y - 1 = 3$
208475	Evaluate	x/(y/z)	$\frac{x}{\frac{y}{z}}$
208476	Simplify	((x-6)/6-(x-2)/(x-6))/(36/(x-2)+4/9)	$\frac{\frac{x - 6}{6} - \frac{x - 2}{x - 6}}{\frac{36}{x - 2} + \frac{4}{9}}$
208477	Simplify	(9x^2)/(10y)+(5y^2)/(3x)	$\frac{9 x^{2}}{10 y} + \frac{5 y^{2}}{3 x}$
208478	Simplify	cube root of square root of 256	$\sqrt[3]{\sqrt{256}}$
208479	Solve for y	7/17y=3 12/17	$\frac{7}{17} y = 3 \frac{12}{17}$
208480	Write in y=mx+b Form	1/4y+3=-5x	$\frac{1}{4} y + 3 = - 5 x$
208481	Factor	y=x^3+2x^2-5x-6	$y = x^{3} + 2 x^{2} - 5 x - 6$
208482	Simplify	6(-3w+1/3)	$6 (- 3 w + \frac{1}{3})$
208483	Solve for x	8^((-x)/3)=4	$8^{\frac{- x}{3}} = 4$
208484	Write in Exponential Form	square root of (2c)^4	$\sqrt{{(2 c)}^{4}}$
208485	Solve for x	cube root of x+5=x-1	$\sqrt[3]{x + 5} = x - 1$
208486	Solve the Inequality for x	3x+1<2x-2<5x+7	$3 x + 1 < 2 x - 2 < 5 x + 7$
208487	Multiply	(x+1)(2x^2-3)	$(x + 1) (2 x^{2} - 3)$
208488	Simplify the Radical Expression	square root of 3+ square root of 3	$\sqrt{3} + \sqrt{3}$
208489	Simplify	(1/4x^2y^108)^0	${(\frac{1}{4} x^{2} y^{108})}^{0}$
208490	Graph	y+2<=3/2x	$y + 2 \leq \frac{3}{2} x$
208491	Graph	y>=-1/2x+5 x>=3	$y \geq - \frac{1}{2} x + 5$ $x \geq 3$
208492	Simplify	(x+1)(2x-3)^2	$(x + 1) {(2 x - 3)}^{2}$
208493	Simplify	(3/(8y))(4/9)	$(\frac{3}{8 y}) (\frac{4}{9})$
208494	Solve for x	2^x=1/( natural log of 2)	$2^{x} = \frac{1}{\ln (2)}$
208495	Convert to Radical Form	(3xy)^(1/3)	${(3 x y)}^{\frac{1}{3}}$
208496	Solve for x	(x^2)/(x^2+1)=(7x)/(x^2+1)	$\frac{x^{2}}{x^{2} + 1} = \frac{7 x}{x^{2} + 1}$
208497	Solve for x	(4x)/(5x+6)=1/6	$\frac{4 x}{5 x + 6} = \frac{1}{6}$
208498	Evaluate	3^5*7^5=e^5	$3^{5} \cdot 7^{5} = e^{5}$
208499	Evaluate	square root of y^6=-y^3	$\sqrt{y^{6}} = - y^{3}$
208500	Simplify	((3x^3y^2z^6)/(xy^-2z^3))^2	${(\frac{3 x^{3} y^{2} z^{6}}{x y^{- 2} z^{3}})}^{2}$