Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210201	Simplify	(m+p)(m^2-2mp+p^2)	$(m + p) (m^{2} - 2 m p + p^{2})$
210202	Evaluate	f(5)=1500(1.074)^5	$f (5) = 1500 {(1.074)}^{5}$
210203	Solve for x	2x^2+6x^2=40	$2 x^{2} + 6 x^{2} = 40$
210204	Write in y=mx+b Form	(-6,5) and (-3,-3)	$(- 6, 5)$ and $(- 3, - 3)$
210205	Solve for a	2a^2-ab=0	$2 a^{2} - a b = 0$
210206	Find the Distance Between Two Points	(2,3) and (14,8)	$(2, 3)$ and $(14, 8)$
210207	Find All Complex Solutions	x^3=16	$x^{3} = 16$
210208	Solve the System of Equations	y-3=(x-1)^2 2x+y=5	$y - 3 = {(x - 1)}^{2}$ $2 x + y = 5$
210209	Solve for x	square root of 7x^2+15x-2x=5+x	$\sqrt{7 x^{2} + 15 x} - 2 x = 5 + x$
210210	Solve the Rational Equation for m	10 = square root of m/10	$10 = \sqrt{\frac{m}{10}}$
210211	Find the Equation Using Two Points	(1,3) and (-3,-5)	$(1, 3)$ and $(- 3, - 5)$
210212	Simplify	(x^0)/x	$\frac{x^{0}}{x}$
210213	Write as a Single Logarithm	log base b of x^2+1-1/2 log base b of x-2x^3	$\log_{b} (x^{2} + 1) - \frac{1}{2} \log_{b} (x - 2) x^{3}$
210214	Evaluate	square root of x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$
210215	Simplify	((6a^3)/(5b))/((21a)/(10b^2))	$\frac{\frac{6 a^{3}}{5 b}}{\frac{21 a}{10 b^{2}}}$
210216	Solve for x	(x^3+2x^2-10x-28)^(1/3)=x	${(x^{3} + 2 x^{2} - 10 x - 28)}^{\frac{1}{3}} = x$
210217	Find the Second Term	a_n=((n+2)!)/((n+3)!)	$a_{n} = \frac{(n + 2)!}{(n + 3)!}$
210218	Divide	(6 cube root of x^7y^5)÷2 cube root of xy^2	$6 \sqrt[3]{x^{7} y^{5}} \div 2 \sqrt[3]{x y^{2}}$
210219	Graph	f(x)=(1-2x)^3	$f (x) = {(1 - 2 x)}^{3}$
210220	Graph Using a Table of Values	y = square root of x-2	$y = \sqrt{x} - 2$
210221	Solve for b	4(x-2)^2-7=ax^2+bx+c	$4 {(x - 2)}^{2} - 7 = a x^{2} + b x + c$
210222	Factor by Grouping	5ac-5bc-a+b	$5 a c - 5 b c - a + b$
210223	Evaluate	-1/(( square root of 16)^3)	$\frac{- 1}{{(\sqrt{16})}^{3}}$
210224	Write in Standard Form	4n(3n^2+n-4)-n(3-n)	$4 n (3 n^{2} + n - 4) - n (3 - n)$
210225	Find the Perfect Square Trinomial	(3x-7)(3x+10)	$(3 x - 7) (3 x + 10)$
210226	Find the Product	3xy(x^2+xy+y^2)	$3 x y (x^{2} + x y + y^{2})$
210227	Find the Domain and Range	f(x)=2cot(3x)+4	$f (x) = 2 \cot (3 x) + 4$
210228	Solve for x	(3x+2)(4x+1)-3=0	$(3 x + 2) (4 x + 1) - 3 = 0$
210229	Solve by Completing the Square	3x^2-57=24x-9	$3 x^{2} - 57 = 24 x - 9$
210230	Simplify	128^(-3/4)*2^(-3/4)	$128^{- \frac{3}{4}} \cdot 2^{- \frac{3}{4}}$
210231	Multiply	(x-y)/(x^2-1)*(x-1)/(x^2-y^2)	$\frac{x - y}{x^{2} - 1} \cdot \frac{x - 1}{x^{2} - y^{2}}$
210232	Simplify	square root of cube root of 2/5	$\sqrt{\sqrt[3]{\frac{2}{5}}}$
210233	Simplify the Radical Expression	(2i)^5*(i square root of 6)^2	${(2 i)}^{5} \cdot {(i \sqrt{6})}^{2}$
210234	Convert to Scientific Notation	(6250000.0004)/(2500.0002)	$\frac{625000 \cdot 0.0004}{250 \cdot 0.0002}$
210235	Solve for x	(x^2-x-4)^(3/4)-2=6	${(x^{2} - x - 4)}^{\frac{3}{4}} - 2 = 6$
210236	Solve for x	3/2x+5=5-2(x+7)	$\frac{3}{2} x + 5 = 5 - 2 (x + 7)$
210237	Solve the Inequality for y	-28<=2y<=-22	$- 28 \leq 2 y \leq - 22$
210238	Find the Product	(8-4x)(2x+6)	$(8 - 4 x) (2 x + 6)$
210239	Solve for x	5(1+3x)-9=4(3x-3)	$5 (1 + 3 x) - 9 = 4 (3 x - 3)$
210240	Solve for x	(3x-6)/(x+4)>=0	$\frac{3 x - 6}{x + 4} \geq 0$
210241	Simplify	(7x^2+2x-10)-(2-6x+x^2)	$(7 x^{2} + 2 x - 10) - (2 - 6 x + x^{2})$
210242	Solve for x	y/2=x-9	$\frac{y}{2} = x - 9$
210243	Evaluate	(x^4)^-3*2x^4	${(x^{4})}^{- 3} \cdot 2 x^{4}$
210244	Simplify	(x^4-2)/(x^2-2)+2/(-x^2+2)	$\frac{x^{4} - 2}{x^{2} - 2} + \frac{2}{- x^{2} + 2}$
210245	Solve for r	A(r)=2pir^2+8pir	$A (r) = 2 π r^{2} + 8 π r$
210246	Find the Equation Using Point-Slope Formula	(3,-2) , y=2/3x+4	$(3, - 2)$ , $y = \frac{2}{3} x + 4$
210247	Multiply	-2*(-2/3)	$- 2 \cdot (- \frac{2}{3})$
210248	Simplify	cube root of y/(4x^2)	$\sqrt[3]{\frac{y}{4 x^{2}}}$
210249	Factor by Grouping	x^5y^4-y^4	$x^{5} y^{4} - y^{4}$
210250	Simplify	((10x)/(6x^4))÷((8x^2)/(3x^4))	$\frac{10 x}{6 x^{4}} \div \frac{8 x^{2}}{3 x^{4}}$
210251	Find the x and y Intercepts	y=((x-3)(x+1))/(x-2)	$y = \frac{(x - 3) (x + 1)}{x - 2}$
210252	Evaluate	-3/2(2)^0	$- \frac{3}{2} {(2)}^{0}$
210253	Solve for u	7/4u=4/11	$\frac{7}{4} u = \frac{4}{11}$
210254	Find the Roots (Zeros)	f(x)=x^4+x^3-6x^2-4x+5	$f (x) = x^{4} + x^{3} - 6 x^{2} - 4 x + 5$
210255	Simplify	(2x^3-4x^2+7x+1)+(-x^3+2x^2+3x-5)	$(2 x^{3} - 4 x^{2} + 7 x + 1) + (- x^{3} + 2 x^{2} + 3 x - 5)$
210256	Simplify	square root of xy^3* square root of x^2y^4	$\sqrt{x y^{3}} \cdot \sqrt{x^{2} y^{4}}$
210257	Solve the Inequality for x	-2x^2+39<=-16x-1	$- 2 x^{2} + 39 \leq - 16 x - 1$
210258	Evaluate	(-1/5)/(-1/5+1)-1	$\frac{- \frac{1}{5}}{- \frac{1}{5} + 1} - 1$
210259	Find the Domain and Range	1/7-x	$\frac{1}{7} - x$
210260	Simplify the Radical Expression	3 square root of 3(4-3 square root of 5)	$3 \sqrt{3} (4 - 3 \sqrt{5})$
210261	Convert to Radical Form	9(27)^(1/3)	$9 {(27)}^{\frac{1}{3}}$
210262	Factor	8x^4+8x^3+27x+27	$8 x^{4} + 8 x^{3} + 27 x + 27$
210263	Expand Using the Binomial Theorem	(x^3+1/(2x))^15	${(x^{3} + \frac{1}{2 x})}^{15}$
210264	Solve for x	3 square root of 4-3x=21	$3 \sqrt{4 - 3 x} = 21$
210265	Simplify the Radical Expression	cube root of 4* cube root of 2	$\sqrt[3]{4} \cdot \sqrt[3]{2}$
210266	Solve the System of Equations	y=-2x^2+4x-1 y=2x-5	$y = - 2 x^{2} + 4 x - 1$ $y = 2 x - 5$
210267	Solve the Inequality for a	4\|6-2a\|+8<=24	$4 \| 6 - 2 a \| + 8 \leq 24$
210268	Simplify the Radical Expression	square root of square root of 2	$\sqrt{\sqrt{2}}$
210269	Simplify	square root of 28/(x^2)- square root of 7/(x^2)	$\sqrt{\frac{28}{x^{2}}} - \sqrt{\frac{7}{x^{2}}}$
210270	Simplify	square root of (1-csc(y)^2)(cos(y)^2-1)	$\sqrt{(1 - \csc^{2} (y)) (\cos^{2} (y) - 1)}$
210271	Evaluate Using Scientific Notation	4.65910^4-2.1410^4	$4.659 \cdot 10^{4} - 2.14 \cdot 10^{4}$
210272	Solve the Inequality for n	n+7<-3	$n + 7 < - 3$
210273	Write the Fraction in Simplest Form	(3y^6)/(4(y^-1)^3)	$\frac{3 y^{6}}{4 {(y^{- 1})}^{3}}$
210274	Simplify	(-1/4x^3)(4/9x^4)	$(- \frac{1}{4} x^{3}) (\frac{4}{9} x^{4})$
210275	Solve for u	-9(6+u)-2u=-10	$- 9 (6 + u) - 2 u = - 10$
210276	Multiply	2 square root of x*4x^(-5/2)	$2 \sqrt{x} \cdot 4 x^{- \frac{5}{2}}$
210277	Simplify	4c+35d-15c+3c-d	$4 c + 35 d - 15 c + 3 c - d$
210278	Divide Using Synthetic Division	(6x^5-2x^3+4x^2-3x+1)÷(x-2)	$(6 x^{5} - 2 x^{3} + 4 x^{2} - 3 x + 1) \div (x - 2)$
210279	Simplify	(m1/2)/(m1/4)	$\frac{m \frac{1}{2}}{m \frac{1}{4}}$
210280	Simplify	25^(-1/3)	$25^{\frac{- 1}{3}}$
210281	Solve for r	2r^2-7r-18=-3	$2 r^{2} - 7 r - 18 = - 3$
210282	Evaluate	log base 7 of 7^3+ log base 7 of 7^8	$\log_{7} (7^{3}) + \log_{7} (7^{8})$
210283	Combine Like Terms	p^2-2p+2+3p^2+5	$p^{2} - 2 p + 2 + 3 p^{2} + 5$
210284	Find the x and y Intercepts	(x^2+4x)/(-x-4)	$\frac{x^{2} + 4 x}{- x - 4}$
210285	Solve the Inequality for y	2<6-2y<5	$2 < 6 - 2 y < 5$
210286	Solve for x	(x+7)/(x+6)-1/(6-x)=1/(x-6)	$\frac{x + 7}{x + 6} - \frac{1}{6 - x} = \frac{1}{x - 6}$
210287	Find All Complex Solutions	log of x+2+ log of x-2=1- log of 2	$\log (x + 2) + \log (x - 2) = 1 - \log (2)$
210288	Simplify	(5x^4y^3)^-2(2x^3y^5z^8)^4(y^7z^-3)	${(5 x^{4} y^{3})}^{- 2} {(2 x^{3} y^{5} z^{8})}^{4} (y^{7} z^{- 3})$
210289	Simplify	(-4x)/(3-6x)+(5x-1)/(3-6x)	$\frac{- 4 x}{3 - 6 x} + \frac{5 x - 1}{3 - 6 x}$
210290	Simplify	-10a^2+6a^3+3a+-6a^3-4a+8a^2	$- 10 a^{2} + 6 a^{3} + 3 a + - 6 a^{3} - 4 a + 8 a^{2}$
210291	Find the Roots (Zeros)	3cos(x+pi/6)	$3 \cos (x + \frac{π}{6})$
210292	Solve by Addition/Elimination	5x+y=19 2y=-5x+28	$5 x + y = 19$ $2 y = - 5 x + 28$
210293	Solve for x	((5^x)^(1/3))/(5^(2/3))=5	$\frac{{(5^{x})}^{\frac{1}{3}}}{5^{\frac{2}{3}}} = 5$
210294	Factor	7z(2x-y)+2x-y	$7 z (2 x - y) + 2 x - y$
210295	Divide	(6 square root of 3)÷2	$6 \sqrt{3} \div 2$
210296	Simplify	m/p-(m-p)/p	$\frac{m}{p} - \frac{m - p}{p}$
210297	Find h(f(x))	f(x)=(x^3)/27 and h(x)=27 cube root of x	$f (x) = \frac{x^{3}}{27}$ and $h (x) = 27 \sqrt[3]{x}$
210298	Find the Product	6xy(2x+y)	$6 x y (2 x + y)$
210299	Write the Fraction in Simplest Form	(1/64)^(1/6)	${(\frac{1}{64})}^{\frac{1}{6}}$
210300	Write the Fraction in Simplest Form	(10j^-3)/(-2(j^-3)^3)	$\frac{10 j^{- 3}}{- 2 {(j^{- 3})}^{3}}$