Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201201	Write in Standard Form	(310^2)(1.510^-5)	$(3 \times 10^{2}) (1.5 \times 10^{- 5})$
201202	Graph	(6x^(-)*2)^2(0.5x)^4	${(6 x^{-} \cdot 2)}^{2} {(0.5 x)}^{4}$
201203	Find the Intersection	y>x-5 y>=-2x	$y > x - 5$ $y \geq - 2 x$
201204	Solve the System of Equations	x-y=1 y=5	$x - y = 1$ $y = 5$
201205	Simplify	1/(5y^4)+2/(y^3)	$\frac{1}{5 y^{4}} + \frac{2}{y^{3}}$
201206	Graph	y>=-3/5x-1 y<=-5/3x+2	$y \geq - \frac{3}{5} x - 1$ $y \leq - \frac{5}{3} x + 2$
201207	Solve for x	4.2/(3x)=7	$\frac{4.2}{3 x} = 7$
201208	Factor	2xy+x^2y-6-3x	$2 x y + x^{2} y - 6 - 3 x$
201209	Solve the System of Equations	-4x+2y=0 10x+3y=8	$- 4 x + 2 y = 0$ $10 x + 3 y = 8$
201210	Simplify	(z-5/3)(z-2/3)	$(z - \frac{5}{3}) (z - \frac{2}{3})$
201211	Simplify	( square root of 3+5)/(2 square root of 3)	$\frac{\sqrt{3} + 5}{2 \sqrt{3}}$
201212	Solve for q	8q-8=-4(-5q-10)	$8 q - 8 = - 4 (- 5 q - 10)$
201213	Solve the Rational Equation for x	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
201214	Simplify the Radical Expression	-2 square root of 20+2 square root of 18-2 square root of 5	$- 2 \sqrt{20} + 2 \sqrt{18} - 2 \sqrt{5}$
201215	Solve for x	square root of x^2+3x=2x	$\sqrt{x^{2} + 3 x} = 2 x$
201216	Simplify	(4m^-4n^-1)/(4n^3)	$\frac{4 m^{- 4} n^{- 1}}{4 n^{3}}$
201217	Solve for k	square root of 2k^2+17-x=0	$\sqrt{2 k^{2} + 17} - x = 0$
201218	Solve the Inequality for x	3^(2x)>9	$3^{2 x} > 9$
201219	Evaluate	((43^22+73^21)57)/((1927^4)^2)	$\frac{(4 \cdot 3^{22} + 7 \cdot 3^{21}) \cdot 57}{{(19 \cdot 27^{4})}^{2}}$
201220	Solve for x	square root of 9x^2+4x-4=3x	$\sqrt{9 x^{2} + 4 x - 4} = 3 x$
201221	Simplify	((-8-16y)/5)÷((2y+1)/(15y))	$\frac{- 8 - 16 y}{5} \div \frac{2 y + 1}{15 y}$
201222	Find the Exact Value	9(3^-2)-(3^4)/(3^2)- square root of 2^6	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}}$
201223	Solve for z	square root of 144-24z+z^2=z-12	$\sqrt{144 - 24 z + z^{2}} = z - 12$
201224	Simplify	((x^2+x-12)/(x-2))/((3x^2+11x-4)/(x^2-4))	$\frac{\frac{x^{2} + x - 12}{x - 2}}{\frac{3 x^{2} + 11 x - 4}{x^{2} - 4}}$
201225	Simplify	( square root of 343)/( cube root of 49)	$\frac{\sqrt{343}}{\sqrt[3]{49}}$
201226	Simplify	(3 square root of 15)(-4 square root of 45)	$(3 \sqrt{15}) (- 4 \sqrt{45})$
201227	Simplify	3/(2(x-5))-x/(x-5)	$\frac{3}{2 (x - 5)} - \frac{x}{x - 5}$
201228	Solve by Addition/Elimination	3x+2y=4 2y=8-5x	$3 x + 2 y = 4$ $2 y = 8 - 5 x$
201229	Solve for x	3(x+2)=y-6	$3 (x + 2) = y - 6$
201230	Simplify	(9*10^-3)^2	${(9 \cdot 10^{- 3})}^{2}$
201231	Solve for x	-12=5(6x+4)+7(x+6)	$- 12 = 5 (6 x + 4) + 7 (x + 6)$
201232	Solve for y	(y+8)/(2y-5)=1	$\frac{y + 8}{2 y - 5} = 1$
201233	Solve for z	4/z+1/z=2/(z+3)	$\frac{4}{z} + \frac{1}{z} = \frac{2}{z + 3}$
201234	Simplify	tan(x)^2-(sin(x)^2)/(cot(x)^2)	$\tan^{2} (x) - \frac{\sin^{2} (x)}{\cot^{2} (x)}$
201235	Solve for n	n=(12-n)^(1/2)	$n = {(12 - n)}^{\frac{1}{2}}$
201236	Find the Quotient	(x^4+x^3+5x^2-10x+10)/(x^2+2x+1)	$\frac{x^{4} + x^{3} + 5 x^{2} - 10 x + 10}{x^{2} + 2 x + 1}$
201237	Evaluate	1-2/3+4/9-8/27	$1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27}$
201238	Simplify	(1/4m^4-2/3m^3n+3/8m^2n^2)÷(1/4m^2)	$(\frac{1}{4} m^{4} - \frac{2}{3} m^{3} n + \frac{3}{8} m^{2} n^{2}) \div (\frac{1}{4} m^{2})$
201239	Find the Exact Value	square root of cube root of 64	$\sqrt{\sqrt[3]{64}}$
201240	Simplify	( square root of x+ square root of 2)/(( square root of x)^3+8)*((x-2 square root of x+4)/( square root of x-2))	$\frac{\sqrt{x} + \sqrt{2}}{{(\sqrt{x})}^{3} + 8} \cdot (\frac{x - 2 \sqrt{x} + 4}{\sqrt{x} - 2})$
201241	Simplify	5^(1/4)*5^(4/5)	$5^{\frac{1}{4}} \cdot 5^{\frac{4}{5}}$
201242	Simplify	(2z)/(3z-9)-(z+1)/(2z-6)	$\frac{2 z}{3 z - 9} - \frac{z + 1}{2 z - 6}$
201243	Solve for r	6.3r=0.1+5.8r	$6.3 r = 0.1 + 5.8 r$
201244	Solve for x	(4(x-4))/(x^2+2x-8)=4/(x+4)	$\frac{4 (x - 4)}{x^{2} + 2 x - 8} = \frac{4}{x + 4}$
201245	Simplify	(cos(theta)+cot(theta)sin(theta))/(sin(theta))	$\frac{\cos (θ) + \cot (θ) \sin (θ)}{\sin (θ)}$
201246	Solve the System of Equations	A+B+C=0 8A+6B+4C=1 15A+5B+3C=0	$A + B + C = 0$ $8 A + 6 B + 4 C = 1$ $15 A + 5 B + 3 C = 0$
201247	Solve for x	2\|x-1\|-x^2+2x+7=0	$2 \| x - 1 \| - x^{2} + 2 x + 7 = 0$
201248	Solve by Graphing	x-y=1 y=5	$x - y = 1$ $y = 5$
201249	Find the Roots (Zeros)	3(x^2-1)=24	$3 (x^{2} - 1) = 24$
201250	Solve for A	H=3/5A	$H = \frac{3}{5} A$
201251	Graph	x+2y=4 y=-1/2x+2	$x + 2 y = 4$ $y = - \frac{1}{2} x + 2$
201252	Simplify	(2a^2)^(1/2)(2a^2)^(1/3)	${(2 a^{2})}^{\frac{1}{2}} {(2 a^{2})}^{\frac{1}{3}}$
201253	Solve for x	5^(3x)55^(x+1)=5^(2x+3)	$5^{3 x} \cdot 5 \cdot 5^{x + 1} = 5^{2 x + 3}$
201254	Graph	y<6 y>x+3	$y < 6$ $y > x + 3$
201255	Divide Using Synthetic Division	x^4+x^3-6x^2-4x+8 by x-2	$x^{4} + x^{3} - 6 x^{2} - 4 x + 8$ by $x - 2$
201256	Find the Domain and Range	y=2-2/3cos(x-pi/2)	$y = 2 - \frac{2}{3} \cos (x - \frac{π}{2})$
201257	Solve by Addition/Elimination	5x=y+6 5x+2y=3	$5 x = y + 6$ $5 x + 2 y = 3$
201258	Simplify	(12x^4y^7z^0)/(-3x^3y^9z^-5)	$\frac{12 x^{4} y^{7} z^{0}}{- 3 x^{3} y^{9} z^{- 5}}$
201259	Solve for x	square root of 4x+28>8	$\sqrt{4 x + 28} > 8$
201260	Solve the System of Inequalities	4x+15>=-9 and 8x-6<=34	$4 x + 15 \geq - 9$ and $8 x - 6 \leq 34$
201261	Simplify	(11^(2/5))/(11^(4/5))	$\frac{11^{\frac{2}{5}}}{11^{\frac{4}{5}}}$
201262	Simplify	3/(2x+6)-(x-6)/(2x^2+6x)	$\frac{3}{2 x + 6} - \frac{x - 6}{2 x^{2} + 6 x}$
201263	Find the Roots (Zeros)	y=x(x-6)	$y = x (x - 6)$
201264	Simplify	(-xy^5)^2	${(- x y^{5})}^{2}$
201265	Solve for x	(8^(x+1)+8^(x+2))/9=16	$\frac{8^{x + 1} + 8^{x + 2}}{9} = 16$
201266	Graph	y=-(2x+3)^2(x-1)	$y = - {(2 x + 3)}^{2} (x - 1)$
201267	Write Using Positive Exponents	(2^2y^-6)/(8^-1z^0x^-7)	$\frac{2^{2} y^{- 6}}{8^{- 1} z^{0} x^{- 7}}$
201268	Graph	y=1/3x+2 y=2/3x+5	$y = \frac{1}{3} x + 2$ $y = \frac{2}{3} x + 5$
201269	Find the x and y Intercepts	y=2x^4+8x^3+4x^2-8x-6	$y = 2 x^{4} + 8 x^{3} + 4 x^{2} - 8 x - 6$
201270	Simplify	( square root of a^9)/( square root of b^5)	$\frac{\sqrt{a^{9}}}{\sqrt{b^{5}}}$
201271	Simplify	5/(2x^3)+4/(3x^2)	$\frac{5}{2 x^{3}} + \frac{4}{3 x^{2}}$
201272	Solve for w	w-5/6=1/3	$w - \frac{5}{6} = \frac{1}{3}$
201273	Simplify	(-4pq^5r^3)/(8p^2q^2r^10)	$\frac{- 4 p q^{5} r^{3}}{8 p^{2} q^{2} r^{10}}$
201274	Simplify the Radical Expression	fourth root of 405x^3y^2	$\sqrt[4]{405 x^{3} y^{2}}$
201275	Write in Exponential Form	square root of x+ square root of 7	$\sqrt{x} + \sqrt{7}$
201276	Solve for d	2(4d+3)=3(4d+6)	$2 (4 d + 3) = 3 (4 d + 6)$
201277	Solve for u	-3(-u-1)=-4+2u	$- 3 (- u - 1) = - 4 + 2 u$
201278	Simplify	(2x^2-9x+2)/(x^2-4)	$\frac{2 x^{2} - 9 x + 2}{x^{2} - 4}$
201279	Write in Slope-Intercept Form	x-y<=6	$x - y \leq 6$
201280	Solve for x	7(10x+3)^(1/3)+8=-13	$7 {(10 x + 3)}^{\frac{1}{3}} + 8 = - 13$
201281	Simplify	15/(26x)+2/13	$\frac{15}{26 x} + \frac{2}{13}$
201282	Solve the System of Equations	x-3y+z=4 3x-6y+9z=5 4x-9y+10z=9	$x - 3 y + z = 4$ $3 x - 6 y + 9 z = 5$ $4 x - 9 y + 10 z = 9$
201283	Evaluate	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
201284	Simplify	(((2x^4y^-3)^-2*(2x^-1y^-2)^4)/(2x^-7y^-3))^3	${(\frac{{(2 x^{4} y^{- 3})}^{- 2} \cdot {(2 x^{- 1} y^{- 2})}^{4}}{2 x^{- 7} y^{- 3}})}^{3}$
201285	Simplify	( cube root of 4x^2)÷( cube root of x)	$\sqrt[3]{4 x^{2}} \div \sqrt[3]{x}$
201286	Combine Like Terms	4y+5y^2-6-5y+27-y^2	$4 y + 5 y^{2} - 6 - 5 y + 27 - y^{2}$
201287	Solve for m	square root of 25-2m = square root of 10+3m	$\sqrt{25 - 2 m} = \sqrt{10 + 3 m}$
201288	Simplify	(5x-10)/6*12/(3x-6)	$\frac{5 x - 10}{6} \cdot \frac{12}{3 x - 6}$
201289	Simplify	(5x^(2/3)y^(7/5))^(1/7)	${(5 x^{\frac{2}{3}} y^{\frac{7}{5}})}^{\frac{1}{7}}$
201290	Solve for y	9y^2-30y+25=0	$9 y^{2} - 30 y + 25 = 0$
201291	Simplify	(x+2)/(x^3)-(x+1)/(x^2)	$\frac{x + 2}{x^{3}} - \frac{x + 1}{x^{2}}$
201292	Simplify	(9-2 square root of 3)/( square root of 3+6)	$\frac{9 - 2 \sqrt{3}}{\sqrt{3} + 6}$
201293	Solve for x	2/3 square root of x=6	$\frac{2}{3} \sqrt{x} = 6$
201294	Simplify	6x(2x-3)-5(2x^2+9x-3)	$6 x (2 x - 3) - 5 (2 x^{2} + 9 x - 3)$
201295	Solve the Inequality for j	1.2(j+3.5)>=4.8	$1.2 (j + 3.5) \geq 4.8$
201296	Simplify	((6c)/7)^-2	${(\frac{6 c}{7})}^{- 2}$
201297	Solve for a	a^2-b^2=0	$a^{2} - b^{2} = 0$
201298	Solve for x	square root of x+4=3 square root of x	$\sqrt{x + 4} = 3 \sqrt{x}$
201299	Simplify	(4x^4-x^3)/(8x-2)	$\frac{4 x^{4} - x^{3}}{8 x - 2}$
201300	Simplify	(3x^4y^3)^4*2(y^2)^3	${(3 x^{4} y^{3})}^{4} \cdot 2 {(y^{2})}^{3}$