Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
29101	Add	(7+8x^7+5x^4)+(9x^7+4x^4+9)	$(7 + 8 x^{7} + 5 x^{4}) + (9 x^{7} + 4 x^{4} + 9)$
29102	Solve the System of Equations	2x+4y=8 3x=12+4y	$2 x + 4 y = 8$ $3 x = 12 + 4 y$
29103	Solve for x	z(x)=25x^2-10x+1	$z (x) = 25 x^{2} - 10 x + 1$
29104	Find the Maximum/Minimum Value	f(x)=-4sin(x)	$f (x) = - 4 \sin (x)$
29105	Solve by Addition/Elimination	y-3x=11 2y-x=2	$y - 3 x = 11$ $2 y - x = 2$
29106	Find f(g(x))	f(x)=x-5 , g(x)=x^2	$f (x) = x - 5$ , $g (x) = x^{2}$
29107	Evaluate	3(5-4)-3(5-4)	$3 \cdot (5 - 4) - 3 \cdot (5 - 4)$
29108	Factor	-54q^3r-24q^2r^3+42qr	$- 54 q^{3} r - 24 q^{2} r^{3} + 42 q r$
29109	Combine Like Terms	(8-p^2+5p)+(p^2-15-4p)	$(8 - p^{2} + 5 p) + (p^{2} - 15 - 4 p)$
29110	Simplify	-(4m^3n^0)^2	$- {(4 m^{3} n^{0})}^{2}$
29111	Evaluate	(2x)/7=(x+57)/5	$\frac{2 x}{7} = \frac{x + 57}{5}$
29112	Evaluate	-3-6(4x+6)>-111	$- 3 - 6 (4 x + 6) > - 111$
29113	Simplify	(6p^2-13p+5)/(2p^2+17p-9)*(p^2+16p+63)/(4p+28)	$\frac{6 p^{2} - 13 p + 5}{2 p^{2} + 17 p - 9} \cdot \frac{p^{2} + 16 p + 63}{4 p + 28}$
29114	Evaluate the Integral	integral of (sin(2x)) with respect to x	$\int (\sin (2 x)) d x$
29115	Simplify	(x^4+3x^3-x^2+6)+(2x^4-3x+9)	$(x^{4} + 3 x^{3} - x^{2} + 6) + (2 x^{4} - 3 x + 9)$
29116	Simplify	x/(x^2-1)-x/(x-1)	$\frac{x}{x^{2} - 1} - \frac{x}{x - 1}$
29117	Solve for y	x=4/(2-y)	$x = \frac{4}{2 - y}$
29118	Solve for θ in Degrees	4sin(theta)^2=1	$4 \sin^{2} (θ) = 1$
29119	Evaluate	2x^3+3x^2+5x-4÷(x^2)+x+1	$2 x^{3} + 3 x^{2} + 5 x - 4 \div x^{2} + x + 1$
29120	Solve for x	8x+8+5x+11+5x-1=180	$8 x + 8 + 5 x + 11 + 5 x - 1 = 180$
29121	Find the Second Derivative	f(x)=6x^(7/2)+4x^(5/2)+2x	$f (x) = 6 x^{\frac{7}{2}} + 4 x^{\frac{5}{2}} + 2 x$
29122	Simplify	8/(5x^4y^2z)-4/(10xy^3)	$\frac{8}{5 x^{4} y^{2} z} - \frac{4}{10 x y^{3}}$
29123	Evaluate	3- square root of 49+(2^2(3+4^2))÷(1/2)	$3 - \sqrt[2]{49} + 2^{2} (3 + 4^{2}) \div \frac{1}{2}$
29124	Solve for A	A^2+8^2=12^2	$A^{2} + 8^{2} = 12^{2}$
29125	Find Where Increasing/Decreasing	x^4-8x^3+16x^2	$x^{4} - 8 x^{3} + 16 x^{2}$
29126	Find the Maximum/Minimum Value	f(x)=-x^4+3x^2+2x	$f (x) = - x^{4} + 3 x^{2} + 2 x$
29127	Find the Second Derivative	2/15x^6-3x^4	$\frac{2}{15} x^{6} - 3 x^{4}$
29128	Simplify	2(x^2+1)^2+3	$2 {(x^{2} + 1)}^{2} + 3$
29129	Add	(-11+9i)+(1+i)	$(- 11 + 9 i) + (1 + i)$
29130	Simplify	(3a^3-4a^2+a-7)+(a^4-2a^3+3a^2+5)	$(3 a^{3} - 4 a^{2} + a - 7) + (a^{4} - 2 a^{3} + 3 a^{2} + 5)$
29131	Find the GCF	36xy^2-48x^2y	$36 x y^{2} - 48 x^{2} y$
29132	Solve the Inequality for z	-36<3z-6<-15	$- 36 < 3 z - 6 < - 15$
29133	Graph Using a Table of Values	y = square root of 2x	$y = \sqrt{2 x}$
29134	Solve for a	a = square root of a+12	$a = \sqrt{a + 12}$
29135	Divide	(18x5+6x4-12x3)÷6x2	$(18 x \cdot 5 + 6 x \cdot 4 - 12 x \cdot 3) \div 6 x \cdot 2$
29136	Simplify	3 cube root of 4a^5-5 cube root of 32a^2+ cube root of (2a)^2	$3 \sqrt[3]{4 a^{5}} - 5 \sqrt[3]{32 a^{2}} + \sqrt[3]{{(2 a)}^{2}}$
29137	Subtract	(a-2)-(a-9)	$(a - 2) - (a - 9)$
29138	Find the Asymptotes	f(x)=(3x^3+2x^2)/(x^2+x)	$f (x) = \frac{3 x^{3} + 2 x^{2}}{x^{2} + x}$
29139	Evaluate	-3^-2-3^0	$- 3^{- 2} - 3^{0}$
29140	Simplify	(10!)/(8!)	$\frac{10!}{8!}$
29141	Solve by Factoring	x^3-3x^2-10x-x^2+3x+10=0	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10 = 0$
29142	Solve for x	x+3 = square root of 22/3x+9	$x + 3 = \sqrt{\frac{22}{3} x + 9}$
29143	Graph	3d-7d+2.8<5.8-27	$3 d - 7 d + 2.8 < 5.8 - 27$
29144	Write in Exponential Form	( fifth root of 28x^2)^3	${(\sqrt[5]{28 x^{2}})}^{3}$
29145	Solve for x	3^3=3^(4x)+2	$3^{3} = 3^{4 x} + 2$
29146	Find dy/dx	-2y-y^2-x^2=0	$- 2 y - y^{2} - x^{2} = 0$
29147	Solve for y	8(2y+5)=12y-(2y+14)	$8 (2 y + 5) = 12 y - (2 y + 14)$
29148	Graph	1/4x-2<-1 1/2	$\frac{1}{4} x - 2 < - 1 \frac{1}{2}$
29149	Simplify	(1^16)^(2/3)	${(1^{16})}^{\frac{2}{3}}$
29150	Simplify	14ab*1/(21b^3)	$14 a b \cdot \frac{1}{21 b^{3}}$
29151	Find Amplitude, Period, and Phase Shift	y=-4sin(x/3)-1	$y = - 4 \sin (\frac{x}{3}) - 1$
29152	Write the Fraction in Simplest Form	((3t^-1)^-3)/(4t^7j)	$\frac{{(3 t^{- 1})}^{- 3}}{4 t^{7} j}$
29153	Solve for k	-11=7+2/3k	$- 11 = 7 + \frac{2}{3} k$
29154	Solve for x	-2(5x-1)-3=-10x	$- 2 (5 x - 1) - 3 = - 10 x$
29155	Evaluate	8*6+(12-4)/2	$8 \cdot 6 + \frac{(12 - 4)}{2}$
29156	Find the LCD	7/(2x) and 5/(4x+4)	$\frac{7}{2 x}$ and $\frac{5}{4 x + 4}$
29157	Solve by Substitution	x=4-5y and 2x+10y=8	$x = 4 - 5 y$ and $2 x + 10 y = 8$
29158	Write in Standard Form	(2x^2-7x-1)(3x^2+x-1)	$(2 x^{2} - 7 x - 1) (3 x^{2} + x - 1)$
29159	Solve the Rational Equation for x	square root of 6x+5 = square root of 2x+10	$\sqrt{6 x + 5} = \sqrt{2 x + 10}$
29160	Simplify	(8u^2-12u^3v)/(20u^3)	$\frac{8 u^{2} - 12 u^{3} v}{20 u^{3}}$
29161	Solve the Function Operation	Let f(x)=3x+2 and g(x)=6x-7 Find f(x)-g(x)	Let $f (x) = 3 x + 2$ and $g (x) = 6 x - 7$ Find $f (x) - g (x)$
29162	Solve for x	(x-1/2)(2x^2-2x-12)>=0	$(x - \frac{1}{2}) (2 x^{2} - 2 x - 12) \geq 0$
29163	Simplify	5c+1/2(3/4-2/3c)	$5 c + \frac{1}{2} (\frac{3}{4} - \frac{2}{3} c)$
29164	Solve for x	5-2(x-7)=x+1+3x	$5 - 2 (x - 7) = x + 1 + 3 x$
29165	Integrate Using u-Substitution	integral from 0 to 5 of square root of y+4 with respect to y	$\int_{0}^{5} \sqrt{y + 4} d y$
29166	Find dy/dx	x-4y+x^3+3y^3=0	$x - 4 y + x^{3} + 3 y^{3} = 0$
29167	Simplify	y/x-1/(y^2)	$\frac{y}{x} - \frac{1}{y^{2}}$
29168	Simplify	square root of 1 4/5* square root of 0.2	$\sqrt{1 \frac{4}{5}} \cdot \sqrt{0.2}$
29169	Solve the System of Inequalities	r/3<-6 OR 3r+1>100	$\frac{r}{3} < - 6$ OR $3 r + 1 > 100$
29170	Simplify	(3/7m-3+4n)+(2/7m-2n+6)	$(\frac{3}{7} m - 3 + 4 n) + (\frac{2}{7} m - 2 n + 6)$
29171	Evaluate the Summation	2 sum from m=0 to 3 of -5m+8m^2	$2 \sum_{m = 0}^{3} - 5 m + 8 m^{2}$
29172	Evaluate	(cot(theta))/(tan(theta))	$\frac{\cot (θ)}{\tan (θ)}$
29173	Solve the System of Equations	-2x+y=-8 and 4x-6y=-24	$- 2 x + y = - 8$ and $4 x - 6 y = - 24$
29174	Find the LCD	1/(3x) , 2/x , 3/7	$\frac{1}{3 x}$ , $\frac{2}{x}$ , $\frac{3}{7}$
29175	Add	-3 3/4+1/2	$- 3 \frac{3}{4} + \frac{1}{2}$
29176	Simplify the Radical Expression	square root of 24x* square root of 18y* square root of 15y	$\sqrt{24 x} \cdot \sqrt{18 y} \cdot \sqrt{15 y}$
29177	Find the Reference Angle	cot(-225 degrees )	$\cot (- 225 °)$
29178	Solve for a	4(2a+2)=8(2-3a)	$4 (2 a + 2) = 8 (2 - 3 a)$
29179	Subtract	(2x+7)/(x-5)-5/(x^2-10x+25)	$\frac{2 x + 7}{x - 5} - \frac{5}{x^{2} - 10 x + 25}$
29180	Calculate the Square Root	cube root of 64^2	$\sqrt[3]{64^{2}}$
29181	Subtract	4x^2+2-2x^2-1	$4 x^{2} + 2 - 2 x^{2} - 1$
29182	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+9x^2+14x+7 is divided by x+1	Use the long division method to find the result when $2 x^{3} + 9 x^{2} + 14 x + 7$ is divided by $x + 1$
29183	Solve for x	(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2	${(x^{2} + y^{2})}^{2} = {(x^{2} - y^{2})}^{2} + {(2 x y)}^{2}$
29184	Solve the Function Operation	Given that f(x)=x^2+4x-45 and g(x)=x+9 ; find (f(x))÷(g(x)) and express the result in standard form.	Given that $f (x) = x^{2} + 4 x - 45$ and $g (x) = x + 9$ ; find $f (x) \div g (x)$ and express the result in standard form.
29185	Evaluate Using the Given Value	What is the value of y when x=-2 in the equation y=3x^3-4 ?	What is the value of $y$ when $x = - 2$ in the equation $y = 3 x^{3} - 4$ ?
29186	Solve for x	-3+7x-9+8x=54	$- 3 + 7 x - 9 + 8 x = 54$
29187	Solve for x	-2x-6=-2^x-6	$- 2 x - 6 = - 2^{x} - 6$
29188	Simplify	(4x^4+4)/(x^2+1)-8/(x^2+1)	$\frac{4 x^{4} + 4}{x^{2} + 1} - \frac{8}{x^{2} + 1}$
29189	Simplify the Radical Expression	-1/2(-5/6+1/3)	$- \frac{1}{2} (- \frac{5}{6} + \frac{1}{3})$
29190	Divide	(-1 1/4)÷(4/7)	$- 1 \frac{1}{4} \div \frac{4}{7}$
29191	Write the Fraction in Simplest Form	(3 2/3)(3 1/3)	$(3 \frac{2}{3}) (3 \frac{1}{3})$
29192	Simplify	(3y^2)/( square root of 20y^5)	$\frac{3 y^{2}}{\sqrt{20 y^{5}}}$
29193	Add	(7y^2+2y-3)+(2-4y+5y)	$(7 y^{2} + 2 y - 3) + (2 - 4 y + 5 y)$
29194	Simplify	( fourth root of 2^4)/( fourth root of 2^8)	$\frac{\sqrt[4]{2^{4}}}{\sqrt[4]{2^{8}}}$
29195	Find the Degree	7a^2b+3b^2-a^2b	$7 a^{2} b + 3 b^{2} - a^{2} b$
29196	Solve for x	cos(2x)=3cos(x)-2	$\cos (2 x) = 3 \cos (x) - 2$
29197	Simplify	( square root of 18)/(2i square root of 6)	$\frac{\sqrt{18}}{2 i \sqrt{6}}$
29198	Simplify	square root of 18x* square root of 32x	$\sqrt{18 x} \cdot \sqrt{32 x}$
29199	Divide	(3.78*10^9)÷14 , 0	$(3.78 \times 10^{9}) \div 14$ , $0$
29200	Factor	1/(x^2+x)	$\frac{1}{x^{2} + x}$