**2
Factor -27*w**2/5 - 291*w/5 + 66/5.
-3*(w + 11)*(9*w - 2)/5
Determine q, given that -2*q**2/9 + 640*q/3 = 0.
0, 960
Factor -3*v**2/5 - 24*v/5 - 9.
-3*(v + 3)*(v + 5)/5
Factor -u**4/12 + 13*u**3/12 + 5*u**2/2.
-u**2*(u - 15)*(u + 2)/12
Factor -5*m**4 - 115*m**3 + 380*m**2 - 260*m.
-5*m*(m - 2)*(m - 1)*(m + 26)
Factor h**4/4 - 5*h**3 + 9*h**2/2 + 5*h - 19/4.
(h - 19)*(h - 1)**2*(h + 1)/4
Factor 36*c**2/5 + 224*c/5 + 48/5.
4*(c + 6)*(9*c + 2)/5
Determine u, given that 5*u**4 + 1100*u**3 + 61585*u**2 + 118810*u = 0.
-109, -2, 0
Determine x, given that 4*x**5 - 20*x**4 + 16*x**3 + 64*x**2 - 128*x + 64 = 0.
-2, 1, 2
Suppose 3*v**5 - 258*v**4 + 3207*v**3 - 13428*v**2 + 18252*v - 7776 = 0. Calculate v.
1, 6, 72
Let 2*x**2/7 - 2000*x/7 + 500000/7 = 0. What is x?
500
Let 2*v**3/15 - 482*v**2/15 + 9266*v/5 + 10086 = 0. What is v?
-5, 123
Factor -u**4 - 11*u**3/2 - 2*u**2 + 5*u/2.
-u*(u + 1)*(u + 5)*(2*u - 1)/2
Find k such that 5*k**5/2 + 4989*k**4/4 + 17047*k**3/2 + 71925*k**2/4 + 22887*k/2 + 2214 = 0.
-492, -3, -1/2, -2/5
Factor 3*n**4 + 9*n**3 - 30*n**2 - 72*n.
3*n*(n - 3)*(n + 2)*(n + 4)
Solve 27648*o**2 - 576*o + 3 = 0.
1/96
Let -5*t**3 - 40*t**2 - 45*t + 90 = 0. What is t?
-6, -3, 1
Factor 28*r**3/5 - 3072*r**2/5 + 16764*r + 4840.
4*(r - 55)**2*(7*r + 2)/5
Factor 2*n**3 - 312*n**2 + 310*n.
2*n*(n - 155)*(n - 1)
Find n, given that -2*n**5/19 - 62*n**4/19 - 276*n**3/19 - 424*n**2/19 - 208*n/19 = 0.
-26, -2, -1, 0
Factor q**3/3 - 2*q**2 - q/3 + 10.
(q - 5)*(q - 3)*(q + 2)/3
Factor s**5 + s**4 - 6*s**3 - 4*s**2 + 8*s.
s*(s - 2)*(s - 1)*(s + 2)**2
Factor -3*s**3 - 87*s**2 + 96*s + 180.
-3*(s - 2)*(s + 1)*(s + 30)
Factor c**4 - 4*c**3 - 27*c**2 - 38*c - 16.
(c - 8)*(c + 1)**2*(c + 2)
Factor -2*a**2/11 - 98*a/11 + 60.
-2*(a - 6)*(a + 55)/11
Find o such that o**4 + 129*o**3 - 261*o**2 + 131*o = 0.
-131, 0, 1
Suppose y**3/2 + 44*y**2 - 89*y/2 = 0. What is y?
-89, 0, 1
Determine t so that -21*t**5/2 + 45*t**4 + 9*t**3 - 132*t**2 - 117*t/2 + 27 = 0.
-1, 2/7, 3
Suppose -9*b**2/4 + 255*b/2 + 174 = 0. What is b?
-4/3, 58
Suppose -36*w**5 - 492*w**4 - 1756*w**3 - 1012*w**2 - 160*w = 0. What is w?
-8, -5, -1/3, 0
Determine t, given that -t**3/5 + 4*t**2/5 + 19*t/5 + 14/5 = 0.
-2, -1, 7
Find a such that -a**3 - 58*a**2 - 220*a - 216 = 0.
-54, -2
Factor -o**5/3 - 44*o**4/3 + 113*o**3 - 898*o**2/3 + 1012*o/3 - 136.
-(o - 2)**3*(o - 1)*(o + 51)/3
Solve -5*p**4 - 405*p**3 + 415*p**2 + 405*p - 410 = 0.
-82, -1, 1
Factor c**3 - 153*c**2 + 5775*c + 5929.
(c - 77)**2*(c + 1)
Factor -3*d**2 + 30*d + 33.
-3*(d - 11)*(d + 1)
Factor -j**4/4 + 4271*j**3/4 - 8539*j**2/4 + 4269*j/4.
-j*(j - 4269)*(j - 1)**2/4
What is h in -58*h**2/9 - 28*h/9 = 0?
-14/29, 0
Let 2*l**2/11 + 2*l - 24/11 = 0. Calculate l.
-12, 1
Suppose -4*h**2 - 52*h - 48 = 0. What is h?
-12, -1
Factor 2*u**4 + 2*u**3 - 60*u**2.
2*u**2*(u - 5)*(u + 6)
Find m, given that -m**2/9 + 766*m/9 - 146689/9 = 0.
383
Factor 245*o**5 + 2835*o**4 + 1560*o**3 + 220*o**2.
5*o**2*(o + 11)*(7*o + 2)**2
Find d, given that -4*d**2/9 - 56*d/3 - 608/9 = 0.
-38, -4
Factor 3*i**3 + 9*i**2 - 3*i - 9.
3*(i - 1)*(i + 1)*(i + 3)
Factor -2*t**3 - 40*t**2 + 86*t - 44.
-2*(t - 1)**2*(t + 22)
Solve -3*m**3/2 + 93*m**2/2 - 42*m - 90 = 0 for m.
-1, 2, 30
Factor -2*o**2/7 - 96*o/7 + 200/7.
-2*(o - 2)*(o + 50)/7
Find n, given that -2*n**2/23 - 182*n/23 + 2020/23 = 0.
-101, 10
Suppose -2*u**5/13 - 2256*u**4/13 + 4520*u**3/13 - 4*u**2/13 - 4518*u/13 + 2260/13 = 0. What is u?
-1130, -1, 1
Factor 4*w**5 + 20*w**4 - 32*w**3 - 192*w**2.
4*w**2*(w - 3)*(w + 4)**2
Let 4*f**2 + 16*f + 12 = 0. What is f?
-3, -1
Factor -42*t**3 - 9*t**2 + 69*t - 18.
-3*(t - 1)*(2*t + 3)*(7*t - 2)
Factor -h**4 + 3*h**2 + 2*h.
-h*(h - 2)*(h + 1)**2
Let -9*w**4/4 + 555*w**3/4 + 332*w**2 + 255*w + 64 = 0. What is w?
-1, -2/3, 64
Factor -3*a**4/7 - 3*a**3 - 3*a**2 + 45*a/7.
-3*a*(a - 1)*(a + 3)*(a + 5)/7
Determine i, given that 12*i**4 + 1204*i**3 + 5056*i**2 + 6160*i + 1536 = 0.
-96, -2, -1/3
Solve 5*j**2 + 60*j - 65 = 0.
-13, 1
Factor 5*j**2 - 1670*j + 6600.
5*(j - 330)*(j - 4)
Determine g so that 5*g**3 + 30*g**2 + 25*g - 60 = 0.
-4, -3, 1
Suppose -240*t**5 - 1960*t**4 - 5895*t**3 - 8080*t**2 - 5115*t - 1210 = 0. Calculate t.
-11/4, -1, -2/3
Let 3*q**2/7 + 24*q - 2211/7 = 0. What is q?
-67, 11
Factor u**4/7 + 38*u**3/7 + 171*u**2/7 + 198*u/7.
u*(u + 2)*(u + 3)*(u + 33)/7
Determine i, given that 2*i**3/9 - 92*i**2/9 + 398*i/9 + 164/3 = 0.
-1, 6, 41
Find b such that -3*b**5 - 33*b**4 + 390*b**3 - 1182*b**2 + 1341*b - 513 = 0.
-19, 1, 3
Factor -3*q**4 - 573*q**3 + 2928*q**2 - 2352*q.
-3*q*(q - 4)*(q - 1)*(q + 196)
Factor -t**2/3 + 23*t - 68/3.
-(t - 68)*(t - 1)/3
Determine w so that w**4/4 + 137*w**3/4 + 533*w**2/4 + 127*w/4 - 399/2 = 0.
-133, -3, -2, 1
Factor k**3/2 - 143*k**2/6 + 116*k/3 - 46/3.
(k - 46)*(k - 1)*(3*k - 2)/6
Suppose 100*f**4 - 2580*f**3 + 6616*f**2 - 4080*f + 736 = 0. Calculate f.
2/5, 2, 23
Determine k so that -2*k**2/7 + 26*k/7 - 12 = 0.
6, 7
Solve 4*r**3 - 16*r**2 = 0.
0, 4
Factor -a**4/2 - a**3 + 3*a**2/2 + 2*a - 2.
-(a - 1)**2*(a + 2)**2/2
Factor -2*f**3/3 + 16*f**2/3 - 22*f/3 - 40/3.
-2*(f - 5)*(f - 4)*(f + 1)/3
Determine h, given that -2*h**3/9 - 32*h**2/9 - 160*h/9 - 256/9 = 0.
-8, -4
Factor 35*w**3 - 185*w**2 + 50*w.
5*w*(w - 5)*(7*w - 2)
Factor -4*y**2 - 16*y.
-4*y*(y + 4)
Suppose -4*g**2/7 + 2968*g - 3853948 = 0. What is g?
2597
Let -5*l**5 - 15*l**4 + 20*l**2 = 0. Calculate l.
-2, 0, 1
Determine r so that 36*r**3 + 4692*r**2 + 6208*r + 2064 = 0.
-129, -2/3
Factor 3*r**2 + 102*r + 192.
3*(r + 2)*(r + 32)
Factor -2*q**2 + 314*q + 316.
-2*(q - 158)*(q + 1)
Suppose 3*j**3 + 3*j**2 - 36*j = 0. Calculate j.
-4, 0, 3
Factor -3*v**3 + 30*v**2 + 21*v - 588.
-3*(v - 7)**2*(v + 4)
Factor -w**4/4 + 3*w**3/2 + 3*w**2/4 - 5*w + 3.
-(w - 6)*(w - 1)**2*(w + 2)/4
Factor -4*t**2 + 52*t + 192.
-4*(t - 16)*(t + 3)
Factor -2*g**2 + 3584*g - 1605632.
-2*(g - 896)**2
Solve -2*z**3/9 - 142*z**2/9 - 224*z/3 - 88 = 0.
-66, -3, -2
Factor 3*u**3/5 - 24*u**2/5 + 39*u/5 - 18/5.
3*(u - 6)*(u - 1)**2/5
Solve 5*u**5/3 + 20*u**4/3 - 100*u**3 = 0 for u.
-10, 0, 6
Factor 4*m**2/7 + 236*m/7 - 488/7.
4*(m - 2)*(m + 61)/7
Suppose 3*u**2/7 - 810*u/7 + 54675/7 = 0. What is u?
135
Suppose -q**4/6 - 2*q**3 + 17*q**2/3 + 102*q + 189/2 = 0. What is q?
-9, -1, 7
Find g such that 330*g**5/7 - 664*g**4/7 + 8*g**3/7 + 660*g**2/7 - 338*g/7 + 4/7 = 0.
-1, 2/165, 1
Determine y, given that 3*y**5 + 63*y**4 + 357*y**3 + 237*y**2 - 360*y - 300 = 0.
-10, -1, 1
Factor 4*u**4 + 28*u**3 + 72*u**2 + 80*u + 32.
4*(u + 1)*(u + 2)**3
Solve -2*o**3/19 + 620*o**2/19 - 2496*o - 97344/19 = 0.
-2, 156
Suppose 2*o**5/13 - 48*o**4/13 - 12*o**3/13 + 272*o**2/13 + 378*o/13 + 144/13 = 0. Calculate o.
-1, 3, 24
Determine o so that 2*o**5/13 - 12*o**4/13 + 14*o**3/13 + 12*o**2/13 - 16*o/13 = 0.
-1, 0, 1, 2, 4
Let -2*k**5 - 12*k**4 + 2*k**3 + 76*k**2 - 64 = 0. Calculate k.
-4, -1, 1, 2
Let -a**4/7 + a**3/7 + 3*a**2/7 - 5*a/7 + 2/7 = 0. Calculate a.
-2, 1
Factor -3*s**3 - 450*s**2 - 22500*s - 375000.
-3*(s + 50)**3
Factor -3*b**2 + 237*b - 900.
-3*(b - 75)*(b - 4)
Let 2*m**5/11 - 38*m**4/11 + 244*m**3/11 - 556*m**2/11 + 42*m/11 + 882/11 = 0. What is m?
-1, 3, 7
Suppose 20*d**4 + 192*d**3 - 212*d**2 - 1392*d - 720 = 0. What is d?
-10, -2, -3/5, 3
Factor u**2/7 - 86*u/7 + 1849/7.
(u - 43)**2/7
Suppose -u**2/2 - 49*u/2 - 24 = 0. Calculate u.
-48, -1
Factor 2*i**3/11 + 72*i**2/11 - 78*i/11 - 148/11.
2*(i - 2)*(i + 1)*(i + 37)/11
Let -4*l**5 - 40*l**4 - 36*l**3 + 208*l**2 - 128*l = 0. Calculate l.
-8, -4, 0, 1
Suppose 20*n**3 + 125*n**2 + 190*n + 40 = 0. What is n?
-4, -2, -1/4
Let 4*p**2/5 + 468*p/5 - 472/5 = 0. Calculate p.
-118, 1
Factor -2*v**4 + 1278*v**3 - 1276*v**2.
-2*v**2*(v - 638)*(v - 1)
Find h, given that -2*h**2/3 + 196*h = 0.
0, 294
Suppose -2*i**5/21 - 8*i**4 = 0. Calculate i.
-84, 0
Factor 167042*x**5/11 + 245650*x**4/11 + 92480*x**3/11 + 1360*x**2 + 1120*x/11 + 32/11.
2*(x + 1)*(17*x + 2)**4/11
Let 27*t**4 - 111*t**3 = 0. What is t?
0, 37/9
Suppose 2*o**3 - 92*o**2 - 392*o - 400 = 0. Calculate o.
-2, 50
Solve -4*i**3 + 3208*i**2 + 6428*i + 3216 = 0 for i.
-1, 804
Suppose -104*k**4 - 1862*k**3 + 184*k**2 + 72*k = 0. Calculate k.
-18, -2/13, 0, 1/4
What is x in -5*x**3 + 5*x**2 + 45*x - 45 = 0?
-3, 1, 3
Suppos