Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
35301	Subtract	(x^2+2x-1)-(-x^3+2x-1)	$(x^{2} + 2 x - 1) - (- x^{3} + 2 x - 1)$
35302	Multiply	(x+3)(2x+1)(2x-3)	$(x + 3) (2 x + 1) (2 x - 3)$
35303	Multiply	(6x+48)/(x^2-9x)*(x^2-81)/(x^2+17x+72)	$\frac{6 x + 48}{x^{2} - 9 x} \cdot \frac{x^{2} - 81}{x^{2} + 17 x + 72}$
35304	Solve by Addition/Elimination	-3x+y=-9 12x-4y=24	$- 3 x + y = - 9$ $12 x - 4 y = 24$
35305	Solve for y	e^(y-1)-27=54	$e^{y - 1} - 27 = 54$
35306	Solve for y	y=-3cos(pi/2)	$y = - 3 \cos (\frac{π}{2})$
35307	Simplify	(3i+5)+(6+ square root of -25)	$(3 i + 5) + (6 + \sqrt{- 25})$
35308	Simplify	( fourth root of 8)( cube root of 2)	$(\sqrt[4]{8}) (\sqrt[3]{2})$
35309	Solve for x	1/(x-3)-2/(x+5)=(2x-1)/(x^2+2x-15)	$\frac{1}{x - 3} - \frac{2}{x + 5} = \frac{2 x - 1}{x^{2} + 2 x - 15}$
35310	Solve for k	g(x)=0.25^x+k	$g (x) = {0.25}^{x} + k$
35311	Describe the Transformation	y=3(x-4)^2	$y = 3 {(x - 4)}^{2}$
35312	Factor	P(x)=(x-1)(x^2-5x+6)	$P (x) = (x - 1) (x^{2} - 5 x + 6)$
35313	Simplify the Radical Expression	(26)(1/4)	$(26) (\frac{1}{4})$
35314	Write as a Single Logarithm	1/4 log base 3 of 2+1/4 log base 3 of x	$\frac{1}{4} \log_{3} (2) + \frac{1}{4} \log_{3} (x)$
35315	Divide	((3x+15)/(49x^2-4))÷((2x-7)/(7x-2))	$\frac{3 x + 15}{49 x^{2} - 4} \div \frac{2 x - 7}{7 x - 2}$
35316	Rationalize the Denominator	(5- square root of 2)/( square root of 2)	$\frac{5 - \sqrt{2}}{\sqrt{2}}$
35317	Simplify	(x+1)/(x^2)*x/(x^2-1)	$\frac{x + 1}{x^{2}} \cdot \frac{x}{x^{2} - 1}$
35318	Evaluate	1-2/3+1/5	$1 - \frac{2}{3} + \frac{1}{5}$
35319	Write in Standard Form	-3i*(-9+8i)	$- 3 i \cdot (- 9 + 8 i)$
35320	Find the Roots (Zeros)	2x+3/(x-1)=(3x)/(x-1)	$2 x + \frac{3}{x - 1} = \frac{3 x}{x - 1}$
35321	Simplify	8(12-9)^2-4*7	$8 {(12 - 9)}^{2} - 4 \cdot 7$
35322	Solve for x	4(x+2)-7=3x+1+x	$4 (x + 2) - 7 = 3 x + 1 + x$
35323	Find the Exact Value	sin(300)^2	$\sin^{2} (300)$
35324	Simplify the Radical Expression	square root of (a^4b^4)/(c^3)	$\sqrt{\frac{a^{4} b^{4}}{c^{3}}}$
35325	Simplify the Radical Expression	15 square root of 3+ square root of 5-2 square root of 3	$15 \sqrt{3} + \sqrt{5} - 2 \sqrt{3}$
35326	Solve for D	H=b/(D+d)	$H = \frac{b}{D + d}$
35327	Solve for θ	2sin(theta)-1=csc(theta)	$2 \sin (θ) - 1 = \csc (θ)$
35328	Find the x and y Intercepts	f(x)=-4x(x^2+1)(2x+1)^2(x+6)^2	$f (x) = - 4 x (x^{2} + 1) {(2 x + 1)}^{2} {(x + 6)}^{2}$
35329	Solve for q	(5q+1)^(1/4)+7=5	${(5 q + 1)}^{\frac{1}{4}} + 7 = 5$
35330	Simplify	4*3+(18x)÷9-12	$4 \cdot 3 + 18 x \div 9 - 12$
35331	Simplify	2 cube root of 2+ square root of 5-4 cube root of 2+2 square root of 5	$2 \sqrt[3]{2} + \sqrt{5} - 4 \sqrt[3]{2} + 2 \sqrt{5}$
35332	Simplify	(x+8)/(x+2)+1/((x+8)/(x+2))	$\frac{x + 8}{x + 2} + \frac{1}{\frac{x + 8}{x + 2}}$
35333	Simplify	(1+cot(x)^2)cos(x)^2	$(1 + \cot^{2} (x)) \cos^{2} (x)$
35334	Solve for x	(x^2-5)^2-3x^2+15=-2	${(x^{2} - 5)}^{2} - 3 x^{2} + 15 = - 2$
35335	Divide Using Synthetic Division	(2x^3+x-6)÷(x+2)	$(2 x^{3} + x - 6) \div (x + 2)$
35336	Find the Derivative - d/dx	square root of 1/x	$\sqrt{\frac{1}{x}}$
35337	Multiply	cube root of 3 , cube root of 24	$\sqrt[3]{3}$ , $\sqrt[3]{24}$
35338	Divide	(x/y)÷(y/x)	$\frac{x}{y} \div \frac{y}{x}$
35339	Simplify	(csc(x)-sec(x))^2	${(\csc (x) - \sec (x))}^{2}$
35340	Integrate Using u-Substitution	integral of x^3e^(x^2) with respect to x	$\int x^{3} e^{x^{2}} d x$
35341	Simplify	(a^0b^-2)/(c^-3d)	$\frac{a^{0} b^{- 2}}{c^{- 3} d}$
35342	Simplify	x^2+2-3x^2+4x+6	$x^{2} + 2 - 3 x^{2} + 4 x + 6$
35343	Find the Vertex	2y^2+x+20y+51=0	$2 y^{2} + x + 20 y + 51 = 0$
35344	Find the Quotient	(-2x^3+3x^2-1)/(x-1)	$\frac{- 2 x^{3} + 3 x^{2} - 1}{x - 1}$
35345	Find the Upper and Lower Bounds	f(x)=x^3+4x^2+8x+5	$f (x) = x^{3} + 4 x^{2} + 8 x + 5$
35346	Find Where Increasing/Decreasing	f(x)=-e^x	$f (x) = - e^{x}$
35347	Describe the Transformation	f(x)=0.2(x-3)^4+2	$f (x) = 0.2 {(x - 3)}^{4} + 2$
35348	Graph	x+5<=5 or x+5>=6	$x + 5 \leq 5$ or $x + 5 \geq 6$
35349	Find the Domain and Range	y = square root of 1/2x+5	$y = \sqrt{\frac{1}{2} x} + 5$
35350	Simplify	b^3(3b^-1)^-2	$b^{3} {(3 b^{- 1})}^{- 2}$
35351	Evaluate the Integral	integral of (ax^2+bx+c) with respect to x	$\int (a x^{2} + b x + c) d x$
35352	Solve the Inequality for x	(4x)/5+3>x+5	$\frac{4 x}{5} + 3 > x + 5$
35353	Solve the Rational Equation for x	square root of x-3-2=0	$\sqrt{x - 3} - 2 = 0$
35354	Simplify	((3c)/-2)^-1(d/4)^-2	${(\frac{3 c}{- 2})}^{- 1} {(\frac{d}{4})}^{- 2}$
35355	Solve for x	x=1/3(6+ log of 2.1)x^3	$x = \frac{1}{3} (6 + \log (2.1)) x^{3}$
35356	Solve the Inequality for z	-8-8z<=-3	$- 8 - 8 z \leq - 3$
35357	Evaluate	2/x+x/3	$\frac{2}{x} + \frac{x}{3}$
35358	Simplify	-5a-7b+a-5b-4-(-a)	$- 5 a - 7 b + a - 5 b - 4 - (- a)$
35359	Find All Complex Solutions	log base x of x+2=2	$\log_{x} (x + 2) = 2$
35360	Simplify	4-3/2(1/2x+3/2)	$4 - \frac{3}{2} (\frac{1}{2} x + \frac{3}{2})$
35361	Solve for x	sin(x/2)+cos(x)=0	$\sin (\frac{x}{2}) + \cos (x) = 0$
35362	Evaluate	25% of 100	$25 %$ of $100$
35363	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+5x^2+19x+6 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 5 x^{2} + 19 x + 6$ is divided by $3 x + 1$
35364	Evaluate	5^(2x+1)<=125	$5^{2 x + 1} \leq 125$
35365	Find the x and y Intercepts	y=x^2-2 square root of 2x+2	$y = x^{2} - 2 \sqrt{2} x + 2$
35366	Simplify the Radical Expression	8 square root of 32x	$8 \sqrt{32 x}$
35367	Solve by Factoring	5x^2-3x+8=3x^2+8x-1	$5 x^{2} - 3 x + 8 = 3 x^{2} + 8 x - 1$
35368	Solve for x	5-(x-1)^(1/3)=8	$5 - {(x - 1)}^{\frac{1}{3}} = 8$
35369	Convert to Radical Form	x^(4/6)	$x^{\frac{4}{6}}$
35370	Solve for x	x^6+1=0	$x^{6} + 1 = 0$
35371	Simplify	-1/2*2/( square root of 3)	$- \frac{1}{2} \cdot \frac{2}{\sqrt{3}}$
35372	Solve the Inequality for a	13a>-26	$13 a > - 26$
35373	Simplify	square root of 11+8 square root of 7-2 square root of 7-6 square root of 11	$\sqrt{11} + 8 \sqrt{7} - 2 \sqrt{7} - 6 \sqrt{11}$
35374	Verify	tan(x)+cot(x)=sec(x)csc(x)	$\tan (x) + \cot (x) = \sec (x) \csc (x)$
35375	Solve for x	-1/2\|x-5\|+3=2	$- \frac{1}{2} \| x - 5 \| + 3 = 2$
35376	Evaluate	( square root of x+2)^2	${(\sqrt{x} + 2)}^{2}$
35377	Divide	(3- fourth root of 5x^2)/( fourth root of 3x^3)	$\frac{3 - \sqrt[4]{5 x^{2}}}{\sqrt[4]{3 x^{3}}}$
35378	Solve the System of Equations	y=x^2+x-27 7=2x-y	$y = x^{2} + x - 27$ $7 = 2 x - y$
35379	Simplify	(2.71^3)^2(2.71)^-5	${({2.71}^{3})}^{2} {(2.71)}^{- 5}$
35380	Solve the Absolute Value Inequality for x	8+\|6-4x\|=17	$8 + \| 6 - 4 x \| = 17$
35381	Evaluate the Function	f(x)=(4x-28)/(6x-7) at x=7	$f (x) = \frac{4 x - 28}{6 x - 7}$ at $x = 7$
35382	Solve for x	3/x=21/6	$\frac{3}{x} = \frac{21}{6}$
35383	Simplify	((x^2+11x+18)/(x^2+x)*(1-x^2)/(x^2+8x-9))÷((x^2-4x-12)/(36-x^2))	$\frac{x^{2} + 11 x + 18}{x^{2} + x} \cdot \frac{1 - x^{2}}{x^{2} + 8 x - 9} \div \frac{x^{2} - 4 x - 12}{36 - x^{2}}$
35384	Add	10x^2-10x-6+x+6	$10 x^{2} - 10 x - 6 + x + 6$
35385	Evaluate	15% of 35	$15 %$ of $35$
35386	Find the Excluded Values	(x-7)/(5x-1)	$\frac{x - 7}{5 x - 1}$
35387	Solve for r	square root of 12-r=r	$\sqrt{12 - r} = r$
35388	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,1) and has a slope of -3/2 ?	What is the equation of the line that passes through the point $(- 6, 1)$ and has a slope of $- \frac{3}{2}$ ?
35389	Find the Leading Coefficient	x	$x$
35390	Solve for c	-3=-15-2(c-1)-3c	$- 3 = - 15 - 2 (c - 1) - 3 c$
35391	Multiply	3 square root of 5(6-2 square root of 6)	$3 \sqrt{5} (6 - 2 \sqrt{6})$
35392	Simplify	3 square root of 20(2 square root of 5-7)	$3 \sqrt{20} (2 \sqrt{5} - 7)$
35393	Solve Using the Quadratic Formula	-8x+30=-3x^2+5x	$- 8 x + 30 = - 3 x^{2} + 5 x$
35394	Solve for θ in Radians	sin(2theta)+ square root of 2cos(theta)=0	$\sin (2 θ) + \sqrt{2} \cos (θ) = 0$
35395	Find the Third Derivative	f(x)=-1/3x^4+2x^2+x	$f (x) = - \frac{1}{3} x^{4} + 2 x^{2} + x$
35396	Simplify	3-1/2(2x-4y)-(x+y)	$3 - \frac{1}{2} (2 x - 4 y) - (x + y)$
35397	Solve the Function Operation	If f(x)=x^3-2 ; find f(3)	If $f (x) = x^{3} - 2$ ; find $f (3)$
35398	Find Where Increasing/Decreasing	f(x)=2e^x	$f (x) = 2 e^{x}$
35399	Simplify	(x^2+6x+6x^3)-(3x-8x^2-4x^3)	$(x^{2} + 6 x + 6 x^{3}) - (3 x - 8 x^{2} - 4 x^{3})$
35400	Find the End Behavior	x^2	$x^{2}$