Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220301	Find the Exact Value	1^-1	$1^{- 1}$
220302	Simplify	( cube root of 6* cube root of 36)/( cube root of 8)	$\frac{\sqrt[3]{6} \cdot \sqrt[3]{36}}{\sqrt[3]{8}}$
220303	Solve the Inequality for x	-x+6>3(6+x)	$- x + 6 > 3 (6 + x)$
220304	Solve for p	3p^3=21p	$3 p^{3} = 21 p$
220305	Simplify	fourth root of 5 fourth root of 6	$\sqrt[4]{5} \sqrt[4]{6}$
220306	Simplify	(5ab^3)(3b+11a^3-2ab)	$(5 a b^{3}) (3 b + 11 a^{3} - 2 a b)$
220307	Factor	56ab-112a-7b^2+14b	$56 a b - 112 a - 7 b^{2} + 14 b$
220308	Simplify	((2x^-1y)/(x^-3y^-2))^-3	${(\frac{2 x^{- 1} y}{x^{- 3} y^{- 2}})}^{- 3}$
220309	Determine if Linear	4x(x-3)=y	$4 x (x - 3) = y$
220310	Evaluate	15% of 25	$15 %$ of $25$
220311	Solve for x	y=(x-5)^3-1	$y = {(x - 5)}^{3} - 1$
220312	Simplify	( cube root of x^10)/( cube root of x^7)	$\frac{\sqrt[3]{x^{10}}}{\sqrt[3]{x^{7}}}$
220313	Solve for x	4x+21=-(1/3)^(x+4)+6	$4 x + 21 = - {(\frac{1}{3})}^{x + 4} + 6$
220314	Solve the Inequality for c	-5c>2	$- 5 c > 2$
220315	Factor	f(x)=5x^4+14x^2-3	$f (x) = 5 x^{4} + 14 x^{2} - 3$
220316	Solve for n	-9n^2+6=-30	$- 9 n^{2} + 6 = - 30$
220317	Solve the System of Equations	y=x^2-5 y-x=1	$y = x^{2} - 5$ $y - x = 1$
220318	Multiply	(5ab^3)(3b+11a^3-2ab)	$(5 a b^{3}) (3 b + 11 a^{3} - 2 a b)$
220319	Graph	f(x)=2- square root of x+1	$f (x) = 2 - \sqrt{x + 1}$
220320	Solve for a	4+7a+6-2a=45	$4 + 7 a + 6 - 2 a = 45$
220321	Write the Fraction in Simplest Form	(3y^7)/((2y^-2)^-5)	$\frac{3 y^{7}}{{(2 y^{- 2})}^{- 5}}$
220322	Find the Midpoint	(0,0) , (x,y)	$(0, 0)$ , $(x, y)$
220323	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3-x^2+2x+7 is divided by x+1	Use synthetic division to find the result when $4 x^{3} - x^{2} + 2 x + 7$ is divided by $x + 1$
220324	Find the Domain and Range	f(x)=2- square root of x+1	$f (x) = 2 - \sqrt{x + 1}$
220325	Find the x and y Intercepts	f(x)=3(1/2)^(x-1)+2	$f (x) = 3 {(\frac{1}{2})}^{x - 1} + 2$
220326	Simplify the Radical Expression	( square root of 48x^3)/( square root of 3xy^2)	$\frac{\sqrt{48 x^{3}}}{\sqrt{3 x y^{2}}}$
220327	Combine Like Terms	(3-2x+2x^2)-(4x-5+3x^2)	$(3 - 2 x + 2 x^{2}) - (4 x - 5 + 3 x^{2})$
220328	Simplify	(4w^2v^3*10w^7v^2)/(-5wv^4)+14w^8v	$\frac{4 w^{2} v^{3} \cdot 10 w^{7} v^{2}}{- 5 w v^{4}} + 14 w^{8} v$
220329	Solve by Factoring	x^2+13/4x-3=0	$x^{2} + \frac{13}{4} x - 3 = 0$
220330	Graph	2x+y=0 , x>=0	$2 x + y = 0$ , $x \geq 0$
220331	Subtract	(11x)/(2x-3)-(x-18)/(3-2x)	$\frac{11 x}{2 x - 3} - \frac{x - 18}{3 - 2 x}$
220332	Simplify the Radical Expression	(3+ square root of 6)^2	${(3 + \sqrt{6})}^{2}$
220333	Evaluate	400000/((1-(1+0.0075)^-36)/0.0075)	$\frac{400000}{\frac{1 - {(1 + 0.0075)}^{- 36}}{0.0075}}$
220334	Solve by Completing the Square	9x(x-6)=81	$9 x (x - 6) = 81$
220335	Simplify	square root of 250/48	$\sqrt{\frac{250}{48}}$
220336	Solve for x	1/4(10^(-2x))-25*10^x=0	$\frac{1}{4} (10^{- 2 x}) - 25 \cdot 10^{x} = 0$
220337	Simplify	5/(2b)-(b+4)/(2b^2-2b)	$\frac{5}{2 b} - \frac{b + 4}{2 b^{2} - 2 b}$
220338	Solve for x	4 square root of x-2 = square root of x+13	$4 \sqrt{x - 2} = \sqrt{x + 13}$
220339	Determine if a Polynomial	-(q^4)/6-6p^3 square root of 5+7q^3 square root of p	$- \frac{q^{4}}{6} - 6 p^{3} \sqrt{5} + 7 q^{3} \sqrt{p}$
220340	Solve the Inequality for x	-9>-4+5x	$- 9 > - 4 + 5 x$
220341	Simplify	(4x-1)/(5x)-(2x+2)/(15x)	$\frac{4 x - 1}{5 x} - \frac{2 x + 2}{15 x}$
220342	Simplify	((8x+32)/(x^2+8x+16))÷((x^2-6x)/(x^2-2x-24))	$\frac{8 x + 32}{x^{2} + 8 x + 16} \div \frac{x^{2} - 6 x}{x^{2} - 2 x - 24}$
220343	Solve for c	4(3c-2)=12(c+2)	$4 (3 c - 2) = 12 (c + 2)$
220344	Solve for z	-10 = cube root of 2(1.25)+z-12	$- 10 = \sqrt[3]{2 (1.25) + z} - 12$
220345	Subtract	1/6-7/10	$\frac{1}{6} - \frac{7}{10}$
220346	Combine Like Terms	-9*(5j+k)	$- 9 \cdot (5 j + k)$
220347	Write in Exponential Form	1/(( square root of x)^5)	$\frac{1}{{(\sqrt{x})}^{5}}$
220348	Simplify	(p3/2)^-2	${(p \frac{3}{2})}^{- 2}$
220349	Find the Roots (Zeros)	square root of 5x+6=x-6	$\sqrt{5 x + 6} = x - 6$
220350	Simplify	5i^4+3i^3-4i^2+5i-3	$5 i^{4} + 3 i^{3} - 4 i^{2} + 5 i - 3$
220351	Divide Using Long Polynomial Division	(2x^4+3x^3+7x^2+7x+6) by (2x+1)	$(2 x^{4} + 3 x^{3} + 7 x^{2} + 7 x + 6)$ by $(2 x + 1)$
220352	Simplify	(-2x^3+x^2+x-3)+(5x^3+x^2-x)	$(- 2 x^{3} + x^{2} + x - 3) + (5 x^{3} + x^{2} - x)$
220353	Convert to a Decimal	tan(45)deg	$\tan (45)$ degrees
220354	Simplify	(3/(x^2-x-6)*(x^2-12x+27)/(x^2+x))÷((x-9)/(x+2))	$\frac{3}{x^{2} - x - 6} \cdot \frac{x^{2} - 12 x + 27}{x^{2} + x} \div \frac{x - 9}{x + 2}$
220355	Describe the Transformation	y=2 cube root of x+6+1	$y = 2 \sqrt[3]{x + 6} + 1$
220356	Write in Standard Form	5x=-6y	$5 x = - 6 y$
220357	Simplify the Radical Expression	(-4x)^-3	${(- 4 x)}^{- 3}$
220358	Write in Slope-Intercept Form	x-y=1/4	$x - y = \frac{1}{4}$
220359	Simplify	(8 cube root of 3- cube root of 24- cube root of 81)	$(8 \sqrt[3]{3} - \sqrt[3]{24} - \sqrt[3]{81})$
220360	Evaluate	(4x/2)(4x/5)=4^14	$(4 \frac{x}{2}) (4 \frac{x}{5}) = 4^{14}$
220361	Solve for x	x^7=128	$x^{7} = 128$
220362	Solve for y	5+ay=17	$5 + a y = 17$
220363	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,5) and has a slope of -4 ?	What is the equation of the line that passes through the point $(- 2, 5)$ and has a slope of $- 4$ ?
220364	Simplify	(2ab+4ac-5c)+(-6c+7ab)	$(2 a b + 4 a c - 5 c) + (- 6 c + 7 a b)$
220365	Find the Exact Value	cot(arctan(-3/5))	$\cot (\arctan (- \frac{3}{5}))$
220366	Write with Rational (Fractional) Exponents	cube root of 5^2* square root of 5	$\sqrt[3]{5^{2}} \cdot \sqrt{5}$
220367	Solve the Inequality for x	-x^2-2x<5x-8	$- x^{2} - 2 x < 5 x - 8$
220368	Evaluate	5/3*(7/15-2/10)	$\frac{5}{3} \cdot (\frac{7}{15} - \frac{2}{10})$
220369	Simplify	(-2xy)(xy)(3x^2y^3)	$(- 2 x y) (x y) (3 x^{2} y^{3})$
220370	Find the Roots (Zeros)	f(x)=2(x+3)^2	$f (x) = 2 {(x + 3)}^{2}$
220371	Solve the System of Equations	4x-4z=12 -6x+4y=-28 -2y+3z=5	$4 x - 4 z = 12$ $- 6 x + 4 y = - 28$ $- 2 y + 3 z = 5$
220372	Simplify	a(b-x)+x(a+b)	$a (b - x) + x (a + b)$
220373	Find g(f(x))	f(x)=2x-5 g(x)=x^2-4	$f (x) = 2 x - 5$ $g (x) = x^{2} - 4$
220374	Divide	3/( square root of 3-1)	$\frac{3}{\sqrt{3} - 1}$
220375	Solve for x	2(3x+7)=x+10+5x+4	$2 (3 x + 7) = x + 10 + 5 x + 4$
220376	Simplify	1/(3x^3)-4/5	$\frac{1}{3 x^{3}} - \frac{4}{5}$
220377	Combine Like Terms	(3a^2+1)-(4+2a^2)	$(3 a^{2} + 1) - (4 + 2 a^{2})$
220378	Solve for m	cube root of 2m+1 = cube root of m+8	$\sqrt[3]{2 m + 1} = \sqrt[3]{m + 8}$
220379	Multiply	2 square root of 7x*3 square root of 14x^2	$2 \sqrt{7 x} \cdot 3 \sqrt{14 x^{2}}$
220380	Solve by Factoring	square root of 9=9^(1/2)	$\sqrt{9} = 9^{\frac{1}{2}}$
220381	Solve for y	(y+1)^2-20(y+1)+64=0	${(y + 1)}^{2} - 20 (y + 1) + 64 = 0$
220382	Solve for x	3/(2x+9)=9/(3x+6)	$\frac{3}{2 x + 9} = \frac{9}{3 x + 6}$
220383	Find the x and y Intercepts	f(x)=(x^2-3)(x+1)^2	$f (x) = (x^{2} - 3) {(x + 1)}^{2}$
220384	Solve for y	2/(y-5)+(y-1)/(2y+1)=2/(2y^2-9y-5)	$\frac{2}{y - 5} + \frac{y - 1}{2 y + 1} = \frac{2}{2 y^{2} - 9 y - 5}$
220385	Combine Like Terms	2x-3xy+4x-11xy	$2 x - 3 x y + 4 x - 11 x y$
220386	Write as a Single Logarithm	2 log base 3 of 9+ log base 3 of 7- log base 3 of 3	$2 \log_{3} (9) + \log_{3} (7) - \log_{3} (3)$
220387	Solve by Graphing	y=-1/3x+1 x=-6	$y = - \frac{1}{3} x + 1$ $x = - 6$
220388	Solve for x	4^(x+2)-5*4^x=99	$4^{x + 2} - 5 \cdot 4^{x} = 99$
220389	Solve for x	x^2=(x+6)(x-6)+36	$x^{2} = (x + 6) (x - 6) + 36$
220390	Simplify	fourth root of 6* cube root of 6^2	$\sqrt[4]{6} \cdot \sqrt[3]{6^{2}}$
220391	Evaluate	square root of 12- square root of 144	$\sqrt{12 - \sqrt{144}}$
220392	Simplify	square root of 5+6 cube root of 5+8 cube root of 5-5 square root of 5	$\sqrt{5} + 6 \sqrt[3]{5} + 8 \sqrt[3]{5} - 5 \sqrt{5}$
220393	Evaluate	e^(sin(pi/2))	$e^{\sin (\frac{π}{2})}$
220394	Simplify	(6w)/( square root of 25w)	$\frac{6 w}{\sqrt{25 w}}$
220395	Evaluate	(125^8)/(5^2)	$\frac{125^{8}}{5^{2}}$
220396	Convert to a Simplified Fraction	0.75 as a fraction	$0.75$ as a fraction
220397	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-x^3-9x^2-15x-18 is divided by x+2	Use synthetic division to find the result when $x^{4} - x^{3} - 9 x^{2} - 15 x - 18$ is divided by $x + 2$
220398	Simplify	(a^2+b^2)(x^2+y^2)	$(a^{2} + b^{2}) (x^{2} + y^{2})$
220399	Divide	(-21/5)÷(-3/35)	$- \frac{21}{5} \div (- \frac{3}{35})$
220400	Simplify	1/8 fourth root of 7+3/8 fourth root of 7	$\frac{1}{8} \sqrt[4]{7} + \frac{3}{8} \sqrt[4]{7}$