Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210201	Simplify	6/(r^-5s^-1)	$\frac{6}{r^{- 5} s^{- 1}}$
210202	Simplify	5m+3m+m	$5 m + 3 m + m$
210203	Simplify	4p^2(5p^2+7p-6)-4p^2(8p^2-9p-10)	$4 p^{2} (5 p^{2} + 7 p - 6) - 4 p^{2} (8 p^{2} - 9 p - 10)$
210204	Solve the System of Equations	3x^2+y=10 3x-y=-4	$3 x^{2} + y = 10$ $3 x - y = - 4$
210205	Simplify	(a/(a-1)-(1+a)/a)/((1-a)/a+a/(1+a))	$\frac{\frac{a}{a - 1} - \frac{1 + a}{a}}{\frac{1 - a}{a} + \frac{a}{1 + a}}$
210206	Solve for X	2X^2-5X=12	$2 X^{2} - 5 X = 12$
210207	Solve for x	2x^2=2x+12	$2 x^{2} = 2 x + 12$
210208	Solve the System of Inequalities	3m<=-21 and m+24>19	$3 m \leq - 21$ and $m + 24 > 19$
210209	Factor	x^3+7x^2+7x-15=(x+5)	$x^{3} + 7 x^{2} + 7 x - 15 = (x + 5)$
210210	Expand the Logarithmic Expression	log base 4 of 1/4x^2	$\log_{4} (\frac{1}{4} x^{2})$
210211	Write as a Single Logarithm	5* log base 5 of 4- log base 5 of 16	$5 \cdot \log_{5} (4) - \log_{5} (16)$
210212	Solve the System of Equations	2x+y+3z=20 x+2y-z=-11 3x-2z=-3	$2 x + y + 3 z = 20$ $x + 2 y - z = - 11$ $3 x - 2 z = - 3$
210213	Simplify	(m^(1/5)n^(1/7))/(m^(1/4)n^0)	$\frac{m^{\frac{1}{5}} n^{\frac{1}{7}}}{m^{\frac{1}{4}} n^{0}}$
210214	Solve the Inequality for x	-2<=x/4-6<6	$- 2 \leq \frac{x}{4} - 6 < 6$
210215	Write in Standard Form	(x-3)(x+2)^2	$(x - 3) {(x + 2)}^{2}$
210216	Simplify	(m+p)(m^2-2mp+p^2)	$(m + p) (m^{2} - 2 m p + p^{2})$
210217	Evaluate	f(5)=1500(1.074)^5	$f (5) = 1500 {(1.074)}^{5}$
210218	Solve for x	2x^2+6x^2=40	$2 x^{2} + 6 x^{2} = 40$
210219	Write in y=mx+b Form	(-6,5) and (-3,-3)	$(- 6, 5)$ and $(- 3, - 3)$
210220	Solve for a	2a^2-ab=0	$2 a^{2} - a b = 0$
210221	Find the Distance Between Two Points	(2,3) and (14,8)	$(2, 3)$ and $(14, 8)$
210222	Find All Complex Solutions	x^3=16	$x^{3} = 16$
210223	Solve the System of Equations	y-3=(x-1)^2 2x+y=5	$y - 3 = {(x - 1)}^{2}$ $2 x + y = 5$
210224	Solve for x	square root of 7x^2+15x-2x=5+x	$\sqrt{7 x^{2} + 15 x} - 2 x = 5 + x$
210225	Solve the Rational Equation for m	10 = square root of m/10	$10 = \sqrt{\frac{m}{10}}$
210226	Find the Equation Using Two Points	(1,3) and (-3,-5)	$(1, 3)$ and $(- 3, - 5)$
210227	Simplify	(x^0)/x	$\frac{x^{0}}{x}$
210228	Write as a Single Logarithm	log base b of x^2+1-1/2 log base b of x-2x^3	$\log_{b} (x^{2} + 1) - \frac{1}{2} \log_{b} (x - 2) x^{3}$
210229	Evaluate	square root of x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$
210230	Simplify	((6a^3)/(5b))/((21a)/(10b^2))	$\frac{\frac{6 a^{3}}{5 b}}{\frac{21 a}{10 b^{2}}}$
210231	Solve for x	(x^3+2x^2-10x-28)^(1/3)=x	${(x^{3} + 2 x^{2} - 10 x - 28)}^{\frac{1}{3}} = x$
210232	Find the Second Term	a_n=((n+2)!)/((n+3)!)	$a_{n} = \frac{(n + 2)!}{(n + 3)!}$
210233	Divide	(6 cube root of x^7y^5)÷2 cube root of xy^2	$6 \sqrt[3]{x^{7} y^{5}} \div 2 \sqrt[3]{x y^{2}}$
210234	Graph	f(x)=(1-2x)^3	$f (x) = {(1 - 2 x)}^{3}$
210235	Graph Using a Table of Values	y = square root of x-2	$y = \sqrt{x} - 2$
210236	Solve for b	4(x-2)^2-7=ax^2+bx+c	$4 {(x - 2)}^{2} - 7 = a x^{2} + b x + c$
210237	Factor by Grouping	5ac-5bc-a+b	$5 a c - 5 b c - a + b$
210238	Evaluate	-1/(( square root of 16)^3)	$\frac{- 1}{{(\sqrt{16})}^{3}}$
210239	Write in Standard Form	4n(3n^2+n-4)-n(3-n)	$4 n (3 n^{2} + n - 4) - n (3 - n)$
210240	Find the Perfect Square Trinomial	(3x-7)(3x+10)	$(3 x - 7) (3 x + 10)$
210241	Find the Product	3xy(x^2+xy+y^2)	$3 x y (x^{2} + x y + y^{2})$
210242	Find the Domain and Range	f(x)=2cot(3x)+4	$f (x) = 2 \cot (3 x) + 4$
210243	Solve for x	(3x+2)(4x+1)-3=0	$(3 x + 2) (4 x + 1) - 3 = 0$
210244	Solve by Completing the Square	3x^2-57=24x-9	$3 x^{2} - 57 = 24 x - 9$
210245	Simplify	128^(-3/4)*2^(-3/4)	$128^{- \frac{3}{4}} \cdot 2^{- \frac{3}{4}}$
210246	Multiply	(x-y)/(x^2-1)*(x-1)/(x^2-y^2)	$\frac{x - y}{x^{2} - 1} \cdot \frac{x - 1}{x^{2} - y^{2}}$
210247	Simplify	square root of cube root of 2/5	$\sqrt{\sqrt[3]{\frac{2}{5}}}$
210248	Simplify the Radical Expression	(2i)^5*(i square root of 6)^2	${(2 i)}^{5} \cdot {(i \sqrt{6})}^{2}$
210249	Convert to Scientific Notation	(6250000.0004)/(2500.0002)	$\frac{625000 \cdot 0.0004}{250 \cdot 0.0002}$
210250	Solve for x	(x^2-x-4)^(3/4)-2=6	${(x^{2} - x - 4)}^{\frac{3}{4}} - 2 = 6$
210251	Solve for x	3/2x+5=5-2(x+7)	$\frac{3}{2} x + 5 = 5 - 2 (x + 7)$
210252	Solve the Inequality for y	-28<=2y<=-22	$- 28 \leq 2 y \leq - 22$
210253	Find the Product	(8-4x)(2x+6)	$(8 - 4 x) (2 x + 6)$
210254	Solve for x	5(1+3x)-9=4(3x-3)	$5 (1 + 3 x) - 9 = 4 (3 x - 3)$
210255	Solve for x	(3x-6)/(x+4)>=0	$\frac{3 x - 6}{x + 4} \geq 0$
210256	Simplify	(7x^2+2x-10)-(2-6x+x^2)	$(7 x^{2} + 2 x - 10) - (2 - 6 x + x^{2})$
210257	Solve for x	y/2=x-9	$\frac{y}{2} = x - 9$
210258	Evaluate	(x^4)^-3*2x^4	${(x^{4})}^{- 3} \cdot 2 x^{4}$
210259	Simplify	(x^4-2)/(x^2-2)+2/(-x^2+2)	$\frac{x^{4} - 2}{x^{2} - 2} + \frac{2}{- x^{2} + 2}$
210260	Solve for r	A(r)=2pir^2+8pir	$A (r) = 2 π r^{2} + 8 π r$
210261	Find the Equation Using Point-Slope Formula	(3,-2) , y=2/3x+4	$(3, - 2)$ , $y = \frac{2}{3} x + 4$
210262	Multiply	-2*(-2/3)	$- 2 \cdot (- \frac{2}{3})$
210263	Simplify	cube root of y/(4x^2)	$\sqrt[3]{\frac{y}{4 x^{2}}}$
210264	Factor by Grouping	x^5y^4-y^4	$x^{5} y^{4} - y^{4}$
210265	Simplify	((10x)/(6x^4))÷((8x^2)/(3x^4))	$\frac{10 x}{6 x^{4}} \div \frac{8 x^{2}}{3 x^{4}}$
210266	Find the x and y Intercepts	y=((x-3)(x+1))/(x-2)	$y = \frac{(x - 3) (x + 1)}{x - 2}$
210267	Evaluate	-3/2(2)^0	$- \frac{3}{2} {(2)}^{0}$
210268	Solve for u	7/4u=4/11	$\frac{7}{4} u = \frac{4}{11}$
210269	Find the Roots (Zeros)	f(x)=x^4+x^3-6x^2-4x+5	$f (x) = x^{4} + x^{3} - 6 x^{2} - 4 x + 5$
210270	Simplify	(2x^3-4x^2+7x+1)+(-x^3+2x^2+3x-5)	$(2 x^{3} - 4 x^{2} + 7 x + 1) + (- x^{3} + 2 x^{2} + 3 x - 5)$
210271	Simplify	square root of xy^3* square root of x^2y^4	$\sqrt{x y^{3}} \cdot \sqrt{x^{2} y^{4}}$
210272	Solve the Inequality for x	-2x^2+39<=-16x-1	$- 2 x^{2} + 39 \leq - 16 x - 1$
210273	Evaluate	(-1/5)/(-1/5+1)-1	$\frac{- \frac{1}{5}}{- \frac{1}{5} + 1} - 1$
210274	Find the Domain and Range	1/7-x	$\frac{1}{7} - x$
210275	Simplify the Radical Expression	3 square root of 3(4-3 square root of 5)	$3 \sqrt{3} (4 - 3 \sqrt{5})$
210276	Convert to Radical Form	9(27)^(1/3)	$9 {(27)}^{\frac{1}{3}}$
210277	Factor	8x^4+8x^3+27x+27	$8 x^{4} + 8 x^{3} + 27 x + 27$
210278	Expand Using the Binomial Theorem	(x^3+1/(2x))^15	${(x^{3} + \frac{1}{2 x})}^{15}$
210279	Solve for x	3 square root of 4-3x=21	$3 \sqrt{4 - 3 x} = 21$
210280	Simplify the Radical Expression	cube root of 4* cube root of 2	$\sqrt[3]{4} \cdot \sqrt[3]{2}$
210281	Solve the System of Equations	y=-2x^2+4x-1 y=2x-5	$y = - 2 x^{2} + 4 x - 1$ $y = 2 x - 5$
210282	Solve the Inequality for a	4\|6-2a\|+8<=24	$4 \| 6 - 2 a \| + 8 \leq 24$
210283	Simplify the Radical Expression	square root of square root of 2	$\sqrt{\sqrt{2}}$
210284	Simplify	square root of 28/(x^2)- square root of 7/(x^2)	$\sqrt{\frac{28}{x^{2}}} - \sqrt{\frac{7}{x^{2}}}$
210285	Simplify	square root of (1-csc(y)^2)(cos(y)^2-1)	$\sqrt{(1 - \csc^{2} (y)) (\cos^{2} (y) - 1)}$
210286	Evaluate Using Scientific Notation	4.65910^4-2.1410^4	$4.659 \cdot 10^{4} - 2.14 \cdot 10^{4}$
210287	Solve the Inequality for n	n+7<-3	$n + 7 < - 3$
210288	Write the Fraction in Simplest Form	(3y^6)/(4(y^-1)^3)	$\frac{3 y^{6}}{4 {(y^{- 1})}^{3}}$
210289	Simplify	(-1/4x^3)(4/9x^4)	$(- \frac{1}{4} x^{3}) (\frac{4}{9} x^{4})$
210290	Solve for u	-9(6+u)-2u=-10	$- 9 (6 + u) - 2 u = - 10$
210291	Multiply	2 square root of x*4x^(-5/2)	$2 \sqrt{x} \cdot 4 x^{- \frac{5}{2}}$
210292	Simplify	4c+35d-15c+3c-d	$4 c + 35 d - 15 c + 3 c - d$
210293	Divide Using Synthetic Division	(6x^5-2x^3+4x^2-3x+1)÷(x-2)	$(6 x^{5} - 2 x^{3} + 4 x^{2} - 3 x + 1) \div (x - 2)$
210294	Simplify	(m1/2)/(m1/4)	$\frac{m \frac{1}{2}}{m \frac{1}{4}}$
210295	Simplify	25^(-1/3)	$25^{\frac{- 1}{3}}$
210296	Solve for r	2r^2-7r-18=-3	$2 r^{2} - 7 r - 18 = - 3$
210297	Evaluate	log base 7 of 7^3+ log base 7 of 7^8	$\log_{7} (7^{3}) + \log_{7} (7^{8})$
210298	Combine Like Terms	p^2-2p+2+3p^2+5	$p^{2} - 2 p + 2 + 3 p^{2} + 5$
210299	Find the x and y Intercepts	(x^2+4x)/(-x-4)	$\frac{x^{2} + 4 x}{- x - 4}$
210300	Solve the Inequality for y	2<6-2y<5	$2 < 6 - 2 y < 5$