Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
20201	Find the Perfect Square Trinomial	(3x-10)(x-2)	$(3 x - 10) (x - 2)$
20202	Evaluate	6/7-(1/5)÷(1/3)*1/2	$\frac{6}{7} - \frac{1}{5} \div \frac{1}{3} \cdot \frac{1}{2}$
20203	Solve for A	tan(theta)=A/B	$\tan (θ) = \frac{A}{B}$
20204	Add	(82x^8+21x^2-6)+(18x+7x^8-42x^2+3)	$(82 x^{8} + 21 x^{2} - 6) + (18 x + 7 x^{8} - 42 x^{2} + 3)$
20205	Solve the Function Operation	f(x)=4x+11 , f(c+7)	$f (x) = 4 x + 11$ , $f (c + 7)$
20206	Simplify	(x^2+x)/(3x+3)	$\frac{x^{2} + x}{3 x + 3}$
20207	Solve for m	m-1 1/2=-5/4	$m - 1 \frac{1}{2} = - \frac{5}{4}$
20208	Solve the System of Equations	y=2x^2+9x-80 16=x-y	$y = 2 x^{2} + 9 x - 80$ $16 = x - y$
20209	Solve for x	4(x-2)^12.5=2486	$4 {(x - 2)}^{12.5} = 2486$
20210	Find the Antiderivative	(tan(x)+cot(x))^2	${(\tan (x) + \cot (x))}^{2}$
20211	Solve the Inequality for x	x^2+7x+6<=6	$x^{2} + 7 x + 6 \leq 6$
20212	Evaluate	-1/5(-2 1/4)	$- \frac{1}{5} (- 2 \frac{1}{4})$
20213	Solve for x	1/x-3/(x+2)=3/(x+2)	$\frac{1}{x} - \frac{3}{x + 2} = \frac{3}{x + 2}$
20214	Simplify	2 square root of 45+ square root of 20-3 square root of 80+ square root of 245	$2 \sqrt{45} + \sqrt{20} - 3 \sqrt{80} + \sqrt{245}$
20215	Find the Derivative - d/dx	pisec(x)	$π \sec (x)$
20216	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-6x^2-25x+4 is divided by x-4	Use synthetic division to find the result when $3 x^{3} - 6 x^{2} - 25 x + 4$ is divided by $x - 4$
20217	Simplify	(2pi)/0.5	$\frac{2 π}{0.5}$
20218	Divide Using Long Polynomial Division	(x^3+2x^2-1)÷(x^2-x+1)	$(x^{3} + 2 x^{2} - 1) \div (x^{2} - x + 1)$
20219	Simplify	((-3x)/(81-x^2)*(81-x^2)/(2x^2-6x))÷((x^2+2x-63)/(3x^2-30x+63))	$\frac{- 3 x}{81 - x^{2}} \cdot \frac{81 - x^{2}}{2 x^{2} - 6 x} \div \frac{x^{2} + 2 x - 63}{3 x^{2} - 30 x + 63}$
20220	Simplify	(2/(x+3)-1/3)/((x^2)/3-3)	$\frac{\frac{2}{x + 3} - \frac{1}{3}}{\frac{x^{2}}{3} - 3}$
20221	Multiply	(63m+36)/(m-1)*1/(56m+32)	$\frac{63 m + 36}{m - 1} \cdot \frac{1}{56 m + 32}$
20222	Simplify the Radical Expression	cube root of 4^2	$\sqrt[3]{4^{2}}$
20223	Solve the System of Inequalities	-8x+3>=27 AND -13x+5>=57	$- 8 x + 3 \geq 27$ AND $- 13 x + 5 \geq 57$
20224	Simplify	(x+12)/2-2x	$\frac{x + 12}{2} - 2 x$
20225	Subtract	(2a^2b-3ab^2+5a^2b^2)-(2a^2b^2+4a^2b-5b^2)	$(2 a^{2} b - 3 a b^{2} + 5 a^{2} b^{2}) - (2 a^{2} b^{2} + 4 a^{2} b - 5 b^{2})$
20226	Solve for x	y=e^x-2	$y = e^{x} - 2$
20227	Find the Degree, Leading Term, and Leading Coefficient	-5w^3x^5 square root of 6-8w^5	$- 5 w^{3} x^{5} \sqrt{6} - 8 w^{5}$
20228	Simplify	(4x)/(x^2-1)-4/(x-1)	$\frac{4 x}{x^{2} - 1} - \frac{4}{x - 1}$
20229	Simplify	(6i)+(6i)-(7-3i)	$(6 i) + (6 i) - (7 - 3 i)$
20230	Evaluate	log base 3/4 of (1024/243)^-2	$\log_{\frac{3}{4}} ({(\frac{1024}{243})}^{- 2})$
20231	Find the Exact Value	sec(arcsin((2 square root of 5)/5))	$\sec (\arcsin (\frac{2 \sqrt{5}}{5}))$
20232	Simplify the Radical Expression	cube root of square root of 64	$\sqrt[3]{\sqrt[2]{64}}$
20233	Solve for x	log base 2 of x^2-6- log base 2 of 3x+5=1	$\log_{2} (x^{2} - 6) - \log_{2} (3 x + 5) = 1$
20234	Write the Fraction in Simplest Form	(2(b^-1j^-2)^-1)/(10b^3)	$\frac{2 {(b^{- 1} j^{- 2})}^{- 1}}{10 b^{3}}$
20235	Graph	f(x)=(x+4)(x+1)^2(x-2)(x-4)	$f (x) = (x + 4) {(x + 1)}^{2} (x - 2) (x - 4)$
20236	Find the Antiderivative	x-1/x	$x - \frac{1}{x}$
20237	Write in Slope-Intercept Form	(-5,19) and (5,13)	$(- 5, 19)$ and $(5, 13)$
20238	Solve for x	(5x-4)^(2/3)=x^(1/3)	${(5 x - 4)}^{\frac{2}{3}} = x^{\frac{1}{3}}$
20239	Simplify	(-8/125)^(-1/3)	${(- \frac{8}{125})}^{\frac{- 1}{3}}$
20240	Find the Derivative - d/dx	d/(dx)(4+(f(8x)))^3	$\frac{d}{d x} {(4 + (f (8 x)))}^{3}$
20241	Simplify	8p(p^2+7p-2)-(9p^3-2p^2)	$8 p (p^{2} + 7 p - 2) - (9 p^{3} - 2 p^{2})$
20242	Evaluate the Integral	integral of (1/x-6/(x^2+1)) with respect to x	$\int (\frac{1}{x} - \frac{6}{x^{2} + 1}) d x$
20243	Solve the Inequality for x	cos(x)>=0	$\cos (x) \geq 0$
20244	Solve the System of Equations	y=2x+6 and 3y=6x+18	$y = 2 x + 6$ and $3 y = 6 x + 18$
20245	Write in Standard Form	7x^2-5=-3x+10	$7 x^{2} - 5 = - 3 x + 10$
20246	Simplify	((11x)/(4y^2))÷(22x^2)	$\frac{11 x}{4 y^{2}} \div (22 x^{2})$
20247	Find the Asymptotes	y=-3/(x+3)-2	$y = - \frac{3}{x + 3} - 2$
20248	Graph	y<=4x-6 x-y>=5	$y \leq 4 x - 6$ $x - y \geq 5$
20249	Find All Complex Solutions	x^3-3x^2+x=-5	$x^{3} - 3 x^{2} + x = - 5$
20250	Solve by Factoring	x^3+x^2-17x+15=0	$x^{3} + x^{2} - 17 x + 15 = 0$
20251	Solve the Rational Equation for x	-8+ square root of 5x-5=-3	$- 8 + \sqrt{5 x - 5} = - 3$
20252	Evaluate	2x+3y-x-(8+1)	$2 x + 3 y - x - (8 + 1)$
20253	Simplify	10+3c+5d-7c+d	$10 + 3 c + 5 d - 7 c + d$
20254	Simplify the Radical Expression	( square root of x+ square root of y)/( square root of x- square root of y)	$\frac{\sqrt{x} + \sqrt{y}}{\sqrt{x} - \sqrt{y}}$
20255	Solve the System of Equations	y=x^2-11x+10 y=-5x^2-4	$y = x^{2} - 11 x + 10$ $y = - 5 x^{2} - 4$
20256	Divide Using Synthetic Division	(4x^4+5x^3+2x^2-1)÷(x+1)	$(4 x^{4} + 5 x^{3} + 2 x^{2} - 1) \div (x + 1)$
20257	Solve the Inequality for x	x^2>=5x+6	$x^{2} \geq 5 x + 6$
20258	Simplify the Radical Expression	2 square root of 5( square root of 6+2)	$2 \sqrt{5} (\sqrt{6} + 2)$
20259	Simplify	(2^5)^0*2^0	${(2^{5})}^{0} \cdot 2^{0}$
20260	Simplify	(45a^2b^5)/(8cb)*(32a^4c^2)/(9a^7b^4)	$\frac{45 a^{2} b^{5}}{8 c b} \cdot \frac{32 a^{4} c^{2}}{9 a^{7} b^{4}}$
20261	Simplify	((x^2+5x+6)/(2x+4)*(x+8)/(x+2))÷((x^2+11x+24)/3)	$\frac{x^{2} + 5 x + 6}{2 x + 4} \cdot \frac{x + 8}{x + 2} \div \frac{x^{2} + 11 x + 24}{3}$
20262	Solve for x	2/5(x+y)=6	$\frac{2}{5} (x + y) = 6$
20263	Find the Slope	(-1,-20) and (-1,1)	$(- 1, - 20)$ and $(- 1, 1)$
20264	Simplify the Radical Expression	square root of -9+10	$\sqrt{- 9 + 10}$
20265	Evaluate	(6x+4)/(4x-3)=(3x+2)/(2x+5)	$\frac{6 x + 4}{4 x - 3} = \frac{3 x + 2}{2 x + 5}$
20266	Evaluate the Limit	limit as x approaches natural log of 10 of e^x+3	$lim_{x \to \ln (10)} e^{x} + 3$
20267	Solve for y	3^y=1	$3^{y} = 1$
20268	Find the Slope	(-4,5) and (-8,-5)	$(- 4, 5)$ and $(- 8, - 5)$
20269	Solve for x	3=(729^(1/5))(3^(x/5))	$3 = (729^{\frac{1}{5}}) (3^{\frac{x}{5}})$
20270	Solve by Addition/Elimination	1/4x+1/3y=1/12 1/4(-x+y)=-5/4	$\frac{1}{4} x + \frac{1}{3} y = \frac{1}{12}$ $\frac{1}{4} (- x + y) = - \frac{5}{4}$
20271	Simplify	(2i)-8-(-2+i)	$(2 i) - 8 - (- 2 + i)$
20272	Find Trig Functions Using Identities	tan(theta)=24/7 , sin(theta)>0	$\tan (θ) = \frac{24}{7}$ , $\sin (θ) > 0$
20273	Solve for θ in Degrees	-2cos(theta)^2+sin(theta)+1=0	$- 2 \cos^{2} (θ) + \sin (θ) + 1 = 0$
20274	Graph Using a Table of Values	f(x)=-5^(x+4)	$f (x) = - 5^{x + 4}$
20275	Solve by Factoring	16x^2-24x+13=4	$16 x^{2} - 24 x + 13 = 4$
20276	Find the Roots (Zeros)	(-x^2+1)/((x^2+1)^2)	$\frac{- x^{2} + 1}{{(x^{2} + 1)}^{2}}$
20277	Find the Roots (Zeros)	f(x)=(x-5)(2x+3)(7x-4)(x+6)	$f (x) = (x - 5) (2 x + 3) (7 x - 4) (x + 6)$
20278	Find the Secant Given the Point	(( square root of 5)/5,-(2 square root of 5)/5)	$(\frac{\sqrt{5}}{5}, - \frac{2 \sqrt{5}}{5})$
20279	Graph Using a Table of Values	y=2sin(4x)	$y = 2 \sin (4 x)$
20280	Find the Reference Angle	sin(765 degrees )	$\sin (765 °)$
20281	Solve for x	12x-2/3=83 1/3	$12 x - \frac{2}{3} = 83 \frac{1}{3}$
20282	Solve for y	(y+6)/(y-1)-(y-4)/(y^2-y)=1/(y-1)	$\frac{y + 6}{y - 1} - \frac{y - 4}{y^{2} - y} = \frac{1}{y - 1}$
20283	Simplify	f(x)=4(x+1)^(2/3)+(28x)/((x+1)^(1/3))	$f (x) = 4 {(x + 1)}^{\frac{2}{3}} + \frac{28 x}{{(x + 1)}^{\frac{1}{3}}}$
20284	Solve by Substitution	x+5y=4 and 3x+15y=-1	$x + 5 y = 4$ and $3 x + 15 y = - 1$
20285	Solve for n	3n^2+8n+16=2n^2	$3 n^{2} + 8 n + 16 = 2 n^{2}$
20286	Solve for p	(7/8)÷p=1 11/24	$\frac{7}{8} \div p = 1 \frac{11}{24}$
20287	Evaluate	3sec(x)^2-4=0	$3 \sec^{2} (x) - 4 = 0$
20288	Solve the Inequality for a	2/5a-4<2	$\frac{2}{5} a - 4 < 2$
20289	Factor	x^2+6x(a+b)+9(a+b)^2	$x^{2} + 6 x (a + b) + 9 {(a + b)}^{2}$
20290	Solve the System of Inequalities	y>=-x+5 y<2x-4	$y \geq - x + 5$ $y < 2 x - 4$
20291	Simplify	5 square root of ab+6 cube root of ab-2 cube root of ab-3 square root of ab	$5 \sqrt{a b} + 6 \sqrt[3]{a b} - 2 \sqrt[3]{a b} - 3 \sqrt{a b}$
20292	Evaluate the Limit	limit as x approaches 3 from the left of (x-3)/(\|x^3-3x^2\|) is	$lim_{x \to 3^{-}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$ is
20293	Solve for y	(10y-2)/3+3=(10y+1)/9	$\frac{10 y - 2}{3} + 3 = \frac{10 y + 1}{9}$
20294	Expand the Logarithmic Expression	log of ( square root of x cube root of y^2)/(z^4)	$\log (\frac{\sqrt{x} \sqrt[3]{y^{2}}}{z^{4}})$
20295	Multiply	sixth root of 3* cube root of 4	$\sqrt[6]{3} \cdot \sqrt[3]{4}$
20296	Convert to Radical Form	(2^(1/2))^(1/3)	${(2^{\frac{1}{2}})}^{\frac{1}{3}}$
20297	Find the Sum and Product of the Roots of the Quadratic Equation	x(2x-7)=-3	$x (2 x - 7) = - 3$
20298	Simplify	(2/(x-3)+(3x)/(x^2-9))/(3/(x+3)-(4x)/(x^2-9))	$\frac{\frac{2}{x - 3} + \frac{3 x}{x^{2} - 9}}{\frac{3}{x + 3} - \frac{4 x}{x^{2} - 9}}$
20299	Simplify	(x+9)/8-(x+3)/(x+2)	$\frac{x + 9}{8} - \frac{x + 3}{x + 2}$
20300	Find the Domain and Range	f(x)=- cube root of 2x^5	$f (x) = - \sqrt[3]{2 x^{5}}$