+ 15*g**3/2 + 27*g**2/2 - 2*g - 6 = 0. Calculate g.
-3, -1, 2/3, 2
Determine k, given that 2*k**2 + 6*k - 8 = 0.
-4, 1
Factor -2*g**4 - 174*g**3 - 4190*g**2 - 17466*g - 13448.
-2*(g + 1)*(g + 4)*(g + 41)**2
Factor 5*t**3 + 15*t**2 - 590*t - 600.
5*(t - 10)*(t + 1)*(t + 12)
Factor -5*g**4 - 65*g**3 - 230*g**2 - 240*g.
-5*g*(g + 2)*(g + 3)*(g + 8)
Let 100*i**5 + 24*i**4 - 500*i**3 - 120*i**2 + 400*i + 96 = 0. Calculate i.
-2, -1, -6/25, 1, 2
Suppose -12*j**5/5 + 792*j**4/5 - 13839*j**3/5 + 25539*j**2/5 - 15552*j/5 + 3072/5 = 0. What is j?
1/2, 1, 32
Let -6*l**2/5 + 96/5 = 0. Calculate l.
-4, 4
Find p, given that 5*p**4 - 20*p**3 - 35*p**2 + 170*p - 120 = 0.
-3, 1, 2, 4
Factor -5*f**3 - 3000*f**2 - 2985*f + 5990.
-5*(f - 1)*(f + 2)*(f + 599)
Factor y**5 - 3*y**4 - 2*y**3 + 6*y**2 + y - 3.
(y - 3)*(y - 1)**2*(y + 1)**2
Suppose 3*j**5/2 - 9*j**4 + 18*j**3 - 15*j**2 + 9*j/2 = 0. Calculate j.
0, 1, 3
Solve 80*v**3 + 68*v**2 - 12*v = 0.
-1, 0, 3/20
Factor -2*q**2/3 + 98*q/3 - 92.
-2*(q - 46)*(q - 3)/3
Factor 2*t**2/15 - 8/15.
2*(t - 2)*(t + 2)/15
Determine l so that -5*l**5 + 165*l**4 + 745*l**3 - 165*l**2 - 740*l = 0.
-4, -1, 0, 1, 37
Factor 2*l**3 + 68*l**2 + 448*l + 832.
2*(l + 4)**2*(l + 26)
Solve -5*t**4 + 665*t**3 = 0.
0, 133
Factor d**3/2 + 15*d**2/4 + 7*d/4.
d*(d + 7)*(2*d + 1)/4
Suppose 2*b**4/5 - 54*b**2/5 + 108*b/5 = 0. Calculate b.
-6, 0, 3
Factor -h**4 + h**3 + 6*h**2 - 4*h - 8.
-(h - 2)**2*(h + 1)*(h + 2)
Suppose 7*d**5 - 2*d**4 - 31*d**3 + 2*d**2 + 24*d = 0. Calculate d.
-12/7, -1, 0, 1, 2
Factor n**3 + 3*n**2 - 144*n + 140.
(n - 10)*(n - 1)*(n + 14)
Factor 5*g**3/2 - 33*g**2 + 13*g/2.
g*(g - 13)*(5*g - 1)/2
Let 22*m**5/9 - 50*m**4 + 16*m**3 + 1096*m**2/9 + 160*m/3 = 0. What is m?
-1, -6/11, 0, 2, 20
Suppose -4*p**5 + 40*p**4 - 20*p**3 - 400*p**2 + 240*p + 1152 = 0. Calculate p.
-2, 3, 8
Suppose 2*g**4 - 8*g**3 - 4*g**2 + 24*g + 18 = 0. What is g?
-1, 3
Determine v, given that 5*v**2 - 10160*v + 5161280 = 0.
1016
Factor -2*d**2 + 66*d + 1440.
-2*(d - 48)*(d + 15)
Determine j, given that 2*j**2/13 - 92*j/13 + 1058/13 = 0.
23
Suppose -2*f**4/17 + 60*f**3/17 - 554*f**2/17 + 1560*f/17 - 1352/17 = 0. Calculate f.
2, 13
Solve 2*w**3/7 + 170*w**2/7 + 656*w/7 + 648/7 = 0.
-81, -2
Determine i so that 2*i**2/7 + 187*i/7 + 65 = 0.
-91, -5/2
Let 2*k**3/11 - 18*k**2/11 + 40*k/11 - 24/11 = 0. What is k?
1, 2, 6
Let x**3/4 - 14*x**2 - 59*x/4 + 57/2 = 0. Calculate x.
-2, 1, 57
Factor 32*f**4/7 + 47056*f**3/7 + 17310722*f**2/7 + 1235220*f + 154350.
2*(f + 735)**2*(4*f + 1)**2/7
Find l such that l**2/2 - 23*l/2 + 30 = 0.
3, 20
Suppose 4*n**2 - 3520*n + 774400 = 0. Calculate n.
440
Factor -u**2 + 38*u - 72.
-(u - 36)*(u - 2)
What is v in 3*v**2/5 + 168*v/5 + 2352/5 = 0?
-28
Factor -16*u**4 + 52*u**3 - 12*u**2.
-4*u**2*(u - 3)*(4*u - 1)
Let s**5/8 - 35*s**4/8 + 189*s**3/4 - 603*s**2/4 + 405*s/8 + 2025/8 = 0. Calculate s.
-1, 3, 15
Factor -12*b**2 + 1905*b + 477.
-3*(b - 159)*(4*b + 1)
Factor 5*s**3/3 - 875*s**2/3 + 37840*s/3 + 38720/3.
5*(s - 88)**2*(s + 1)/3
Factor 3*r**3/4 + 147*r**2 - 1212*r + 2448.
3*(r - 4)**2*(r + 204)/4
Factor 2*b**4/23 - 56*b**3/23 + 488*b**2/23 - 1344*b/23 + 1152/23.
2*(b - 12)**2*(b - 2)**2/23
Solve 2*y**5/5 - 2*y**4/5 - 98*y**3/5 + 98*y**2/5 = 0.
-7, 0, 1, 7
Factor -121*a**2 - 198*a - 81.
-(11*a + 9)**2
Factor b**5/4 - 2715*b**4/4 + 919365*b**3/2 + 2766245*b**2/2 + 5537925*b/4 + 1846881/4.
(b - 1359)**2*(b + 1)**3/4
Factor -g**5/2 - g**4 + g**3 + 4*g**2 + 7*g/2 + 1.
-(g - 2)*(g + 1)**4/2
Factor -2*i**5/13 + 162*i**4/13 - 316*i**3/13.
-2*i**3*(i - 79)*(i - 2)/13
Factor -5*r**2 + 530*r + 1080.
-5*(r - 108)*(r + 2)
Determine i so that -9*i**5/2 - 30*i**4 - 57*i**3 - 18*i**2 + 27*i/2 = 0.
-3, -1, 0, 1/3
Determine c so that -c**3 + 32*c**2 + c - 32 = 0.
-1, 1, 32
Factor -2*w**5 - 4*w**4 + 6*w**3 + 8*w**2 - 8*w.
-2*w*(w - 1)**2*(w + 2)**2
Factor -l**4/4 - 33*l**3/2 - 1021*l**2/4 + 561*l - 289.
-(l - 1)**2*(l + 34)**2/4
Factor k**4/2 + 4*k**3 + 5*k**2/2 - 25*k.
k*(k - 2)*(k + 5)**2/2
Factor -2*o**3/3 - 74*o**2 + 1640*o/3 - 472.
-2*(o - 6)*(o - 1)*(o + 118)/3
Suppose t**5 + 2*t**4 - 4*t**3 - 2*t**2 + 3*t = 0. What is t?
-3, -1, 0, 1
Factor r**3 - 68*r**2/5 - 103*r/5 - 6.
(r - 15)*(r + 1)*(5*r + 2)/5
Factor j**3/2 + 8*j**2 + 14*j.
j*(j + 2)*(j + 14)/2
Solve 5*f**3 + 120*f**2 + 225*f - 6750 = 0 for f.
-15, 6
Factor -4*x**5 - 456*x**4 - 17328*x**3 - 219488*x**2.
-4*x**2*(x + 38)**3
What is l in 4*l**5 - 152*l**4 - 176*l**3 + 792*l**2 - 468*l = 0?
-3, 0, 1, 39
Determine l, given that -3*l**5 - 741*l**4 - 3657*l**3 - 6555*l**2 - 5088*l - 1452 = 0.
-242, -2, -1
Factor 3*s**3 + 57*s**2 - 60*s.
3*s*(s - 1)*(s + 20)
Let 2*w**2 + 1116*w + 3330 = 0. What is w?
-555, -3
Determine j so that 2*j**5/9 + 10*j**4/3 + 52*j**3/3 + 292*j**2/9 - 10*j/3 - 50 = 0.
-5, -3, 1
Factor -5*g**3 - 40*g**2 - 95*g - 60.
-5*(g + 1)*(g + 3)*(g + 4)
Factor -8*g**2/3 + 298*g/3 - 74/3.
-2*(g - 37)*(4*g - 1)/3
Determine n so that -15*n**5 + 155*n**4 + 310*n**3 - 120*n**2 = 0.
-2, 0, 1/3, 12
Factor 5*b**5 - 15*b**4 - 5*b**3 + 15*b**2.
5*b**2*(b - 3)*(b - 1)*(b + 1)
Let 27556*w**4 - 137116*w**3 + 106908*w**2 + 2636*w + 16 = 0. What is w?
-1/83, 1, 4
Let -2*q**3/9 - 20*q**2/9 - 22*q/3 - 8 = 0. Calculate q.
-4, -3
Factor -125*o**2 - 525*o - 190.
-5*(5*o + 2)*(5*o + 19)
Find b such that -3*b**2 - 18*b + 21 = 0.
-7, 1
Find z, given that -5*z**4 + 30*z**3 - 20*z**2 - 120*z + 160 = 0.
-2, 2, 4
Solve w**4/4 + 13*w**3/4 - 161*w**2/2 + 152*w + 1248 = 0 for w.
-26, -3, 8
Factor p**4/6 - 3*p**3/2 + 9*p**2/2 - 31*p/6 + 2.
(p - 4)*(p - 3)*(p - 1)**2/6
Determine f, given that -2*f**4/11 - 20*f**3/11 - 74*f**2/11 - 120*f/11 - 72/11 = 0.
-3, -2
Let 3*k**4 + 9*k**3 - 123*k**2 - 9*k + 120 = 0. Calculate k.
-8, -1, 1, 5
Solve -3*i**4/5 + 177*i**3/5 - 222*i**2 + 936*i/5 = 0.
0, 1, 6, 52
Let -3185288*k**2 + 15144*k - 18 = 0. What is k?
3/1262
Solve 2*v**3 - 49*v**2 - 266*v + 145 = 0.
-5, 1/2, 29
Factor 2*g**2/13 + 106*g/13 - 1876/13.
2*(g - 14)*(g + 67)/13
Factor 2*d**3/15 + 28*d**2 + 1960*d + 137200/3.
2*(d + 70)**3/15
Solve -16*d**5/3 - 4*d**4 + 68*d**3/3 + 16*d**2 - 16*d/3 = 0 for d.
-2, -1, 0, 1/4, 2
Factor 2*f**3/7 + 2*f**2/7 - 32*f/7 - 32/7.
2*(f - 4)*(f + 1)*(f + 4)/7
Suppose 3*p**2/2 + 129*p/2 + 690 = 0. Calculate p.
-23, -20
Solve 11*m**3 - 196*m**2 + 855*m + 162 = 0.
-2/11, 9
Factor -2*i**2 + 16*i - 30.
-2*(i - 5)*(i - 3)
Suppose -4*r**3 + 112*r**2 - 564*r + 792 = 0. Calculate r.
3, 22
Suppose h**4 - 3*h**3 - 3*h**2 + 7*h + 6 = 0. Calculate h.
-1, 2, 3
Factor -5*l**5/4 - 25*l**4/4 - 35*l**3/4 - 15*l**2/4.
-5*l**2*(l + 1)**2*(l + 3)/4
Suppose -75*g**5 + 7965*g**4 - 9417*g**3 - 3501*g**2 + 3768*g + 1260 = 0. What is g?
-2/5, 1, 105
Factor t**4 + 959*t**3 - 2883*t**2 + 2885*t - 962.
(t - 1)**3*(t + 962)
What is p in -2*p**3/13 - 102*p**2/13 - 558*p/13 - 810/13 = 0?
-45, -3
Factor -t**3 - 22*t**2 + 109*t + 130.
-(t - 5)*(t + 1)*(t + 26)
Suppose 96*b**4 - 452*b**3 + 220*b**2 + 232*b - 96 = 0. Calculate b.
-2/3, 3/8, 1, 4
Factor -3*y**5 + 3*y**4 + 6*y**3 - 6*y**2 - 3*y + 3.
-3*(y - 1)**3*(y + 1)**2
Find l, given that -3*l**5 + 39*l**4 + 279*l**3 - 111*l**2 - 888*l - 540 = 0.
-5, -1, 2, 18
Factor -j**5/3 + 4*j**4/3 - 5*j**3/3 + 2*j**2/3.
-j**2*(j - 2)*(j - 1)**2/3
Factor u**2/6 - 77*u + 461/6.
(u - 461)*(u - 1)/6
Find r such that -5*r**4 + 185*r**3 - 520*r**2 + 340*r = 0.
0, 1, 2, 34
Factor 2*a**4 - 74*a**3 + 936*a**2 - 4320*a + 3456.
2*(a - 12)**3*(a - 1)
Determine t so that 4*t**5/13 + 6*t**4/13 - 190*t**3/13 + 224*t**2/13 + 672*t/13 + 256/13 = 0.
-8, -1, -1/2, 4
Determine n so that n**2 - 438*n = 0.
0, 438
Factor 2*d**4/3 + 16*d**3 + 44*d**2 - 3872*d/3 - 7986.
2*(d - 9)*(d + 11)**3/3
Determine z so that -z**2/8 + 153*z/2 - 23409/2 = 0.
306
Solve -28*c**5 - 120*c**4 + 388*c**3 + 624*c**2 + 144*c = 0 for c.
-6, -1, -2/7, 0, 3
Factor -x**3 + 28*x**2 + 60*x.
-x*(x - 30)*(x + 2)
Solve z**5/4 - 27*z**4/4 + 83*z**3/2 + 63*z**2 - 98*z = 0 for z.
-2, 0, 1, 14
Factor r**2 + 62*r + 961.
(r + 31)**2
Factor 3*s**2/2 - 255*s.
3*s*(s - 170)/2
Factor -q**2 - 3*q + 70.
-(q - 7)*(q + 10)
Find l, given that 3*l**3/4 + 138*l**2 + 6348*l = 0.
-92, 0
Factor -8*s**3 + 119*s**2/5 - 77*s/5 - 2/5.
-(s - 2)*(s - 1)*(40*s + 1)/5
Factor -2*i**2/3 - 28*i/3 - 22.
-2*(i + 3)*(i + 11)/3
What is d in 2*d**5/19 + 176*d*