Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25401	Evaluate	64÷(15-7)*2-9	$64 \div (15 - 7) \times 2 - 9$
25402	Evaluate the Limit	limit as x approaches 2 of (x+ square root of 2)/2	$lim_{x \to 2} \frac{x + \sqrt{2}}{2}$
25403	Solve the Inequality for x	6x^2-30x<-7x+4	$6 x^{2} - 30 x < - 7 x + 4$
25404	Find the Domain	t/( square root of t^2-45)	$\frac{t}{\sqrt{t^{2} - 45}}$
25405	Graph	y=x^2 and y=x^2-4	$y = x^{2}$ and $y = x^{2} - 4$
25406	Solve for x	2((5x+4)/2)=7(2)	$2 (\frac{5 x + 4}{2}) = 7 (2)$
25407	Factor	x^2+(1/x)^2+2-2x-2/x	$x^{2} + {(\frac{1}{x})}^{2} + 2 - 2 x - \frac{2}{x}$
25408	Simplify the Radical Expression	( square root of 2)/(2 square root of 3)	$\frac{\sqrt{2}}{2 \sqrt{3}}$
25409	Evaluate	-80%+54/50-0.25	$- 80 % + \frac{54}{50} - 0.25$
25410	Expand Using Sum/Difference Formulas	sin((3pi)/2+x)	$\sin (\frac{3 π}{2} + x)$
25411	Find Amplitude, Period, and Phase Shift	y=2sin(x-1/2)+3	$y = 2 \sin (x - \frac{1}{2}) + 3$
25412	Solve for x	2x^3-2=198	$2 x^{3} - 2 = 198$
25413	Find the Slope	(-10,-4) and (10,-29)	$(- 10, - 4)$ and $(10, - 29)$
25414	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4+2x^3-13x^2-14x+24	$f (x) = x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24$
25415	Find the Roots (Zeros)	x^3=4	$x^{3} = 4$
25416	Solve for s	-6(-4+14s)=-4(-12+18s)	$- 6 (- 4 + 14 s) = - 4 (- 12 + 18 s)$
25417	Simplify	( square root of x-y+1)( square root of x+y-1)	$(\sqrt{x} - y + 1) (\sqrt{x} + y - 1)$
25418	Solve for x	S=2pi square root of x/p	$S = 2 π \sqrt{\frac{x}{p}}$
25419	Graph	y>x 5 y>=2x+3	$y > x$ $5$ $y \geq 2 x + 3$
25420	Simplify	(3x^2-4x+6x)+(5x^3+2x^2-3x)	$(3 x^{2} - 4 x + 6 x) + (5 x^{3} + 2 x^{2} - 3 x)$
25421	Write in y=mx+b Form	(1,1) , (4,-1/2)	$(1, 1)$ , $(4, - \frac{1}{2})$
25422	Evaluate	((2^-1)^4)/(2^2)	$\frac{{(2^{- 1})}^{4}}{2^{2}}$
25423	Solve for z	z-2=4+9z	$z - 2 = 4 + 9 z$
25424	Find the Exact Value	11-3*2+2^3+90÷6	$11 - 3 \cdot 2 + 2^{3} + 90 \div 6$
25425	Solve the Inequality for m	(3m+1)/2>-1	$\frac{3 m + 1}{2} > - 1$
25426	Solve the Inequality for x	(3x+6)/(2x-12)>=0	$\frac{3 x + 6}{2 x - 12} \geq 0$
25427	Find the Derivative - d/dx	((cos(2x))/x)^3	${(\frac{\cos (2 x)}{x})}^{3}$
25428	Evaluate the Integral	integral from 1/2 to 1 of (x^-3-5) with respect to x	$\int_{\frac{1}{2}}^{1} (x^{- 3} - 5) d x$
25429	Solve the Inequality for k	-24+k<=10	$- 24 + k \leq 10$
25430	Solve the Inequality for b	1+\|1+b\|<4	$1 + \| 1 + b \| < 4$
25431	Simplify	4(1/4a+b-6)	$4 (\frac{1}{4} a + b - 6)$
25432	Solve the Inequality for y	(y-1)/2-(2y+3)/8-y>2	$\frac{(y - 1)}{2} - \frac{(2 y + 3)}{8} - y > 2$
25433	Simplify	3 square root of square root of 64	$3 \sqrt{\sqrt{64}}$
25434	Find the Product	(4x^2+x-5)(2x+1)	$(4 x^{2} + x - 5) (2 x + 1)$
25435	Find dy/dx	-x^3+y^3-xy=0	$- x^{3} + y^{3} - x y = 0$
25436	Simplify	(x^ny^(2n))/(x^3y^2)	$\frac{x^{n} y^{2 n}}{x^{3} y^{2}}$
25437	Evaluate	((2^24^2)/(42^3))^2	${(\frac{2^{2} \cdot 4^{2}}{4 \cdot 2^{3}})}^{2}$
25438	Solve the System of Equations	x+2y+z=9 x-y+3z=13 2z=10	$x + 2 y + z = 9$ $x - y + 3 z = 13$ $2 z = 10$
25439	Evaluate	4/( square root of 2)+2/( square root of 3)	$\frac{4}{\sqrt{2}} + \frac{2}{\sqrt{3}}$
25440	Evaluate	-7(-1)^3+5(-1)^2+(-1)	$- 7 {(- 1)}^{3} + 5 {(- 1)}^{2} + (- 1)$
25441	Simplify	4/(9x)*5/(3x)	$\frac{4}{9 x} \cdot \frac{5}{3 x}$
25442	Evaluate Using the Given Value	y-(z+z^2) ; use y=10 ; and z=2	$y - (z + z^{2})$ ; use $y = 10$ ; and $z = 2$
25443	Graph	y>x 2 y>=x-2	$y > x$ $2$ $y \geq x - 2$
25444	Factor	(6a^2-5a)	$(6 a^{2} - 5 a)$
25445	Evaluate	cot(theta)=1	$\cot (θ) = 1$
25446	Find the Asymptotes	f(x)=(x^2+x-2)/((x+2)(x^2-2x-15))	$f (x) = \frac{x^{2} + x - 2}{(x + 2) (x^{2} - 2 x - 15)}$
25447	Evaluate the Integral	integral of ((2x^3+3x)^2)/(x^2) with respect to x	$\int \frac{{(2 x^{3} + 3 x)}^{2}}{x^{2}} d x$
25448	Find dy/dx	y = square root of 9xcos(x)	$y = \sqrt{9 x} \cos (x)$
25449	Solve for x	v^2=v_0^2+2ax	$v^{2} = v_{0^{2}} + 2 a x$
25450	Solve for v	(4v-16)^(1/3)+2=0	${(4 v - 16)}^{\frac{1}{3}} + 2 = 0$
25451	Find the Excluded Values	(x^2-4x)/(x-1)*(x^2+3x-4)/(2x)	$\frac{x^{2} - 4 x}{x - 1} \cdot \frac{x^{2} + 3 x - 4}{2 x}$
25452	Simplify	square root of 12( square root of 3+ square root of 6)	$\sqrt{12} (\sqrt{3} + \sqrt{6})$
25453	Simplify	i^5i^11i^18*i^8	$i^{5} \cdot i^{11} \cdot i^{18} \cdot i^{8}$
25454	Simplify the Radical Expression	square root of 5a square root of 3b	$\sqrt{5 a} \sqrt{3 b}$
25455	Find the Antiderivative	f(x)=3cos(x)-x	$f (x) = 3 \cos (x) - x$
25456	Solve the Function Operation	f(x)=(x+7)^(1/2) ; find f^-1(x)	$f (x) = {(x + 7)}^{\frac{1}{2}}$ ; find $f^{- 1} (x)$
25457	Write in Standard Form	(10x^2+3x+9)+(5x^2+x+4)	$(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)$
25458	Simplify the Radical Expression	(8/27)^(2/3)	${(\frac{8}{27})}^{\frac{2}{3}}$
25459	Simplify	3 square root of 9(x+y)^5	$3 \sqrt{9 {(x + y)}^{5}}$
25460	Evaluate the Limit	limit as x approaches 0 of (x^4-4x^3+x^2)/(x^3+x^2+x)	$lim_{x \to 0} \frac{x^{4} - 4 x^{3} + x^{2}}{x^{3} + x^{2} + x}$
25461	Graph	x+y=3/2	$x + y = \frac{3}{2}$
25462	Evaluate	(3pi)/2-(-pi/2)	$\frac{3 π}{2} - (- \frac{π}{2})$
25463	Solve for H	H=7/10(220-a)	$H = \frac{7}{10} (220 - a)$
25464	Simplify	3/(x^2-11x+24)(x^2-64)/(4x+32)(x^2+6x-27)/(x+9)	$\frac{3}{x^{2} - 11 x + 24} \cdot \frac{x^{2} - 64}{4 x + 32} \cdot \frac{x^{2} + 6 x - 27}{x + 9}$
25465	Solve for x	3(x^2+x)=2(x+2)	$3 (x^{2} + x) = 2 (x + 2)$
25466	Find the Asymptotes	(3x^3-5)/(x^2-4)	$\frac{3 x^{3} - 5}{x^{2} - 4}$
25467	Subtract	3x^2-7x+4 from 5x^2-3x+8	$3 x^{2} - 7 x + 4$ from $5 x^{2} - 3 x + 8$
25468	Evaluate	79/40-162.5%	$\frac{79}{40} - 162.5 %$
25469	Simplify	-(15w^0u^-1)/(5u^3)	$- \frac{15 w^{0} u^{- 1}}{5 u^{3}}$
25470	Evaluate	27el33%	$27 e l 33 %$
25471	Write the Fraction in Simplest Form	(10h^10)/((-5h^5q)^3)	$\frac{10 h^{10}}{{(- 5 h^{5} q)}^{3}}$
25472	Factor	15c(a+b)+8(b+a)	$15 c \cdot (a + b) + 8 \cdot (b + a)$
25473	Find the GCF	14 and 21	$14$ and $21$
25474	Solve for x	x(x+7)=-3(x+8)-4	$x (x + 7) = - 3 (x + 8) - 4$
25475	Solve by Graphing	x-y=6 y=-2x	$x - y = 6$ $y = - 2 x$
25476	Convert to Interval Notation	5x-4<=-3 or 4x+6>0	$5 x - 4 \leq - 3$ or $4 x + 6 > 0$
25477	Solve for x	(2x+1)(x-2)(3x-4)<=0	$(2 x + 1) (x - 2) (3 x - 4) \leq 0$
25478	Solve for a	cube root of a=7	$\sqrt[3]{a} = 7$
25479	Factor	Factor 3x^2-6x-24	Factor $3 x^{2} - 6 x - 24$
25480	Simplify	(2i-3)+(8+ square root of -9)	$(2 i - 3) + (8 + \sqrt{- 9})$
25481	Simplify	(4t^3)/( square root of 15t^3)	$\frac{4 t^{3}}{\sqrt{15 t^{3}}}$
25482	Find the Asymptotes	y=((x-7)(x-3))/(x^2-10x+21)	$y = \frac{(x - 7) (x - 3)}{x^{2} - 10 x + 21}$
25483	Solve for k	8+k<=-3	$8 + k \leq - 3$
25484	Evaluate	pi/(4/2)	$\frac{π}{\frac{4}{2}}$
25485	Evaluate the Integral	integral of 6(sin(2x))/(sin(x)) with respect to x	$\int 6 \frac{\sin (2 x)}{\sin (x)} d x$
25486	Find Amplitude, Period, and Phase Shift	y=1/4cos(3pix)	$y = \frac{1}{4} \cos (3 π x)$
25487	Solve the Function Operation	If P(x)=x^2+x+2 ; find P(7)	If $P (x) = x^{2} + x + 2$ ; find $P (7)$
25488	Evaluate	(2.5+8.03)/(1.5*2.00)	$\frac{2.5 + 8.03}{1.5 \times 2}$
25489	Find the Domain and Range	y=-4/5 square root of x+2-1	$y = - \frac{4}{5} \sqrt{x + 2} - 1$
25490	Simplify	(8a+5x^2)(3a)a^0.3	$(8 a + 5 x^{2}) (3 a) a^{0.3}$
25491	Find the Slope	(-10,-8) and (-8,-16)	$(- 10, - 8)$ and $(- 8, - 16)$
25492	Factor	45(y^8+30y^5)	$45 (y^{8} + 30 y^{5})$
25493	Graph	graph y=3	graph $y = 3$
25494	Solve the Function Operation	f(x)=3x^2-4x-1 g(x)=-2x+5 Find: (gof)(x)	$f (x) = 3 x^{2} - 4 x - 1$ $g (x) = - 2 x + 5$ Find: $((g \circ f)) (x)$
25495	Find the Roots (Zeros)	y=3x^3-5x^2+3	$y = 3 x^{3} - 5 x^{2} + 3$
25496	Simplify the Radical Expression	( cube root of 6x^2)/( cube root of 2x)	$\frac{\sqrt[3]{6 x^{2}}}{\sqrt[3]{2 x}}$
25497	Find Where Increasing/Decreasing	f(x)=(x^2-4)^(2/3)	$f (x) = {(x^{2} - 4)}^{\frac{2}{3}}$
25498	Evaluate	square root of x-3 = square root of 2x	$\sqrt{x - 3} = \sqrt{2 x}$
25499	Solve for y	8-7y^3=1	$8 - 7 y^{3} = 1$
25500	Find the x and y Intercepts	y=8*(1/4)^x-1	$y = 8 \cdot {(\frac{1}{4})}^{x} - 1$