Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181301	Find the Roots (Zeros)	y=2x^2+x-3	$y = 2 x^{2} + x - 3$
181302	Find All Complex Solutions	-sin(x)+cos(2x)=1	$- \sin (x) + \cos (2 x) = 1$
181303	Graph	y+2=1/4x	$y + 2 = \frac{1}{4} x$
181304	Evaluate	(p+q)^2	${(p + q)}^{2}$
181305	Find the Exact Value	cos(75 degrees )cos(15 degrees )-sin(75 degrees )sin(15 degrees )	$\cos (75 °) \cos (15 °) - \sin (75 °) \sin (15 °)$
181306	Simplify	square root of 324-(2-9)^2+162÷(3^3)	$\sqrt{324} - {(2 - 9)}^{2} + 162 \div 3^{3}$
181307	Find the x and y Intercepts	f(x)=8x^3-2x-2x^2-4	$f (x) = 8 x^{3} - 2 x - 2 x^{2} - 4$
181308	Simplify	(y^2-2y-15)/(6y+18)*(12y+36)/(-y^2-7y+60)	$\frac{y^{2} - 2 y - 15}{6 y + 18} \cdot \frac{12 y + 36}{- y^{2} - 7 y + 60}$
181309	Write in Standard Form	square root of -16+ square root of 8+ square root of -36	$\sqrt{- 16} + \sqrt{8} + \sqrt{- 36}$
181310	Evaluate	1/7x-3<1	$\frac{1}{7} x - 3 < 1$
181311	Solve for x	\|x+3\|>x-2	$\| x + 3 \| > x - 2$
181312	Describe the Transformation	g(x)=f(1/2x)	$g (x) = f (\frac{1}{2} x)$
181313	Find the x and y Intercepts	r(x)=(x^2+6x-7)/(x^2+2x-3)	$r (x) = \frac{x^{2} + 6 x - 7}{x^{2} + 2 x - 3}$
181314	Solve for x	12x=12(2/3x-1)+11	$12 x = 12 (\frac{2}{3} x - 1) + 11$
181315	Solve the System of Equations	y=-2x-3 y=1/2x+2	$y = - 2 x - 3$ $y = \frac{1}{2} x + 2$
181316	Simplify	(6x^2+x-12)/(2x+3)	$\frac{6 x^{2} + x - 12}{2 x + 3}$
181317	Simplify	-4x^4y(5y^4-7z+2y^2)	$- 4 x^{4} y (5 y^{4} - 7 z + 2 y^{2})$
181318	Solve for x	log base 5 of fourth root of 125=x	$\log_{5} (\sqrt[4]{125}) = x$
181319	Solve the Inequality for x	3x-4>=6+5x	$3 x - 4 \geq 6 + 5 x$
181320	Evaluate	((3^2)/(3^-1))^3	${(\frac{3^{2}}{3^{- 1}})}^{3}$
181321	Write in Standard Form	(3x+4)(x^2+2x+3)	$(3 x + 4) (x^{2} + 2 x + 3)$
181322	Factor	36j^2-100k^6m^4	$36 j^{2} - 100 k^{6} m^{4}$
181323	Simplify	5(x^0)y^-1	$5 (x^{0}) y^{- 1}$
181324	Graph Using a Table of Values	f(x) = cube root of x+3	$f (x) = \sqrt[3]{x} + 3$
181325	Solve for x	3\|x+1\|+7=6\|x+1\|+6	$3 \| x + 1 \| + 7 = 6 \| x + 1 \| + 6$
181326	Simplify	(a^7a^-22)/(a^-10)	$\frac{a^{7} a^{- 22}}{a^{- 10}}$
181327	Solve for u	6.4u-5.1u=-3.25	$6.4 u - 5.1 u = - 3.25$
181328	Evaluate	10*(-9+(-6))	$10 \cdot (- 9 + (- 6))$
181329	Solve for x	x/(x-2)+x/(x^2-4)=(x+3)/(x+2)	$\frac{x}{x - 2} + \frac{x}{x^{2} - 4} = \frac{x + 3}{x + 2}$
181330	Simplify	x-4y-12-5y+8y	$x - 4 y - 12 - 5 y + 8 y$
181331	Find the Midpoint	(-3,5) and (0,-1)	$(- 3, 5)$ and $(0, - 1)$
181332	Find the x and y Intercepts	y=(2- square root of x)/(5x+1)	$y = \frac{2 - \sqrt{x}}{5 x + 1}$
181333	Evaluate	(f(2+h)-f(2))/h	$\frac{f (2 + h) - f (2)}{h}$
181334	Solve for θ	tan(theta)^2=1/3	$\tan^{2} (θ) = \frac{1}{3}$
181335	Simplify	(1+i)/(3-i)	$\frac{1 + i}{3 - i}$
181336	Factor	(9m+9n)/(9r-9s)	$\frac{9 m + 9 n}{9 r - 9 s}$
181337	Graph	f''''(x)=0	$f'' (x) = 0$
181338	Graph	2x-3<=4x+3<2x+5	$2 x - 3 \leq 4 x + 3 < 2 x + 5$
181339	Write Using Negative Exponents	x^2-5x+6	$x^{2} - 5 x + 6$
181340	Solve for s	(4+4s)/4=3	$\frac{4 + 4 s}{4} = 3$
181341	Graph Using a Table of Values	f(x)=x^2+2x+1	$f (x) = x^{2} + 2 x + 1$
181342	Graph	5x-7(x+1)>-9	$5 x - 7 (x + 1) > - 9$
181343	Solve the Inequality for x	2x^2+3x-5>0	$2 x^{2} + 3 x - 5 > 0$
181344	Solve for b	-4+bx=2x+3(x+1)	$- 4 + b x = 2 x + 3 (x + 1)$
181345	Find All Complex Solutions	\|x\|=2	$\| x \| = 2$
181346	Simplify	3x+3(x+y) ?	$3 x + 3 (x + y)$ ?
181347	Solve for t	x=x_0+v_0t+1/2at^2	$x = x_{0} + v_{0} t + \frac{1}{2} a t^{2}$
181348	Solve for y	-4=2- square root of y^2-4y+15	$- 4 = 2 - \sqrt{y^{2} - 4 y + 15}$
181349	Find the Equation of the Circle	Center (0,0) , r=9	Center $(0, 0)$ , $r = 9$
181350	Find the Holes in the Graph	f(x)=(2x^3+x^2-8x-4)/(x^2-3x+2)	$f (x) = \frac{2 x^{3} + x^{2} - 8 x - 4}{x^{2} - 3 x + 2}$
181351	Solve for x	5x+2-2(x-1)=3x+4	$5 x + 2 - 2 (x - 1) = 3 x + 4$
181352	Simplify	(4x^3+6x-7)+(3x^3-5x^2-5x+9)	$(4 x^{3} + 6 x - 7) + (3 x^{3} - 5 x^{2} - 5 x + 9)$
181353	Graph	y<=-x-1 y>=5/2x-8	$y \leq - x - 1$ $y \geq \frac{5}{2} x - 8$
181354	Solve the Inequality for x	(x+2)^2(x+5)>=0	${(x + 2)}^{2} (x + 5) \geq 0$
181355	Evaluate	(x^-3*y^3)^-7	${(x^{- 3} \cdot y^{3})}^{- 7}$
181356	Find the Exact Value	cos(-75 degrees )	$\cos (- 75 °)$
181357	Rationalize the Denominator	(2-5m)/(m-9)+(4m-5)/(9-m)	$\frac{2 - 5 m}{m - 9} + \frac{4 m - 5}{9 - m}$
181358	Simplify	(10x^2-40)/(5x^2-25x-70)*(x^3-7x^2)/(x-2)	$\frac{10 x^{2} - 40}{5 x^{2} - 25 x - 70} \cdot \frac{x^{3} - 7 x^{2}}{x - 2}$
181359	Solve for z	A=nz+d	$A = n z + d$
181360	Graph	-4x<=12	$- 4 x \leq 12$
181361	Solve for x	(5x)/(x-6)+2x=-5/(x-6)	$\frac{5 x}{x - 6} + 2 x = - \frac{5}{x - 6}$
181362	Simplify	(8x^4+2x^2-1)+(3x^3-5x^2+7x+1)	$(8 x^{4} + 2 x^{2} - 1) + (3 x^{3} - 5 x^{2} + 7 x + 1)$
181363	Solve the Inequality for x	6((x+1)/8-(2x-3)/16)>3(3/4x-1/4)-3/8(3x-2)	$6 (\frac{x + 1}{8} - \frac{2 x - 3}{16}) > 3 (\frac{3}{4} x - \frac{1}{4}) - \frac{3}{8} (3 x - 2)$
181364	Solve the Rational Equation for x	3/(x-5)-20/(x^2-25)=2/(x+5)	$\frac{3}{x - 5} - \frac{20}{x^{2} - 25} = \frac{2}{x + 5}$
181365	Solve the Inequality for x	1-4(7-6x)<141	$1 - 4 (7 - 6 x) < 141$
181366	Simplify	(1-4i)/(5+2i)	$\frac{1 - 4 i}{5 + 2 i}$
181367	Solve the Inequality for x	-2(1-5x)>-(x+1)-1	$- 2 (1 - 5 x) > - (x + 1) - 1$
181368	Convert to a Mixed Number	25%	$25 %$
181369	Solve for x	7x+31=8x-1/3(27x+3)	$7 x + 31 = 8 x - \frac{1}{3} (27 x + 3)$
181370	Solve the Inequality for z	25z^2-64<0	$25 z^{2} - 64 < 0$
181371	Solve for x	4x^2+25=-20x	$4 x^{2} + 25 = - 20 x$
181372	Solve the Inequality for x	x^2-3x>4	$x^{2} - 3 x > 4$
181373	Simplify	(5k^2-50k+45)/(k^2-18k+81)	$\frac{5 k^{2} - 50 k + 45}{k^{2} - 18 k + 81}$
181374	Graph	x-x^3	$x - x^{3}$
181375	Simplify	3x square root of 7+2 square root of 112x^2	$3 x \sqrt{7} + 2 \sqrt{112 x^{2}}$
181376	Solve for x	6x+5x-4=2x-8	$6 x + 5 x - 4 = 2 x - 8$
181377	Solve for x	8(10-x)=2x	$8 (10 - x) = 2 x$
181378	Graph	f(x)=-x+4 if x<1; 4x-1 if x>=1	$f (x) = {\begin{cases} - x + 4 & x < 1 \\ 4 x - 1 & x \geq 1 \end{cases}$
181379	Solve for R	V=(2piR)/T	$V = \frac{2 π R}{T}$
181380	Multiply	-2x^-3y(5yx^5+8xy-4y^2x^2)	$- 2 x^{- 3} y (5 y x^{5} + 8 x y - 4 y^{2} x^{2})$
181381	Graph	F(x)=1/((x+1)(x+2))	$F (x) = \frac{1}{(x + 1) (x + 2)}$
181382	Find the Inverse	f(x)=(x-5)^(1/5)	$f (x) = {(x - 5)}^{\frac{1}{5}}$
181383	Find the First Term	2n-3	$2 n - 3$
181384	Simplify	-4 square root of 8* square root of 10	$- 4 \sqrt{8} \cdot \sqrt{10}$
181385	Solve by Factoring	(t+-a)(t+-b)=0	$(t + - a) (t + - b) = 0$
181386	Simplify	(a^2bc^3)^4*(b^2c)^3	${(a^{2} b c^{3})}^{4} \cdot {(b^{2} c)}^{3}$
181387	Solve the Inequality for x	log of x+ log of x-3< = log of 10	$\log (x) + \log (x - 3) \leq \log (10)$
181388	Evaluate	-3(2w+6)-4	$- 3 (2 w + 6) - 4$
181389	Solve for x	(x+yi)+(4+6i)=7-2i	$(x + y i) + (4 + 6 i) = 7 - 2 i$
181390	Solve for x	x^2+(( square root of 3)/2)^2=1^2	$x^{2} + {(\frac{\sqrt{3}}{2})}^{2} = 1^{2}$
181391	Combine Like Terms	8r+7-6r-5	$8 r + 7 - 6 r - 5$
181392	Evaluate	3cos(pi/4)	$3 \cos (\frac{π}{4})$
181393	Solve for x	1/(x-2)-1/(x+3)=1/5	$\frac{1}{x - 2} - \frac{1}{x + 3} = \frac{1}{5}$
181394	Evaluate	1*(-4+(-8))	$1 \times (- 4 + (- 8))$
181395	Simplify	(k^3-7k+2)-(k^2-12)	$(k^{3} - 7 k + 2) - (k^{2} - 12)$
181396	Factor	f(x)=x^2+x-6	$f (x) = x^{2} + x - 6$
181397	Evaluate	f(-1)=3^-1	$f (- 1) = 3^{- 1}$
181398	Simplify the Radical Expression	fifth root of x^5y^5	$\sqrt[5]{x^{5} y^{5}}$
181399	Simplify	(3x^3+4x^2)-(2x^3+3x^2-x)	$(3 x^{3} + 4 x^{2}) - (2 x^{3} + 3 x^{2} - x)$
181400	Find the x and y Intercepts	f(x)=x/(x^2+4x)	$f (x) = \frac{x}{x^{2} + 4 x}$