6
Factor 2*v**2 - 220*v + 2178.
2*(v - 99)*(v - 11)
Factor -2*m**2/11 + 488*m/11 - 29768/11.
-2*(m - 122)**2/11
Determine o, given that 9*o**5 - 21*o**4 - 201*o**3 - 39*o**2 + 360*o - 108 = 0.
-3, -2, 1/3, 1, 6
Factor 6*v**3/11 - 12*v**2/11 - 174*v/11 - 252/11.
6*(v - 7)*(v + 2)*(v + 3)/11
Factor 3*v**4 - 69*v**3 - 585*v**2 - 1323*v - 810.
3*(v - 30)*(v + 1)*(v + 3)**2
Solve 18*h**5/5 + 1884*h**4/5 + 3104*h**3/5 + 1444*h**2/5 + 206*h/5 = 0.
-103, -1, -1/3, 0
Solve -2*v**5/5 - 26*v**4/5 - 96*v**3/5 - 72*v**2/5 = 0.
-6, -1, 0
Factor -2*g**3/3 + 80*g**2/3.
-2*g**2*(g - 40)/3
Determine a, given that -10*a**5 - 142*a**4 + 2*a**3 + 406*a**2 - 200*a - 56 = 0.
-14, -2, -1/5, 1
Factor -q**4/6 - 13*q**3/3 - 12*q**2 - 35*q/3 - 23/6.
-(q + 1)**3*(q + 23)/6
Factor l**4 - 4*l**3 + 3*l**2.
l**2*(l - 3)*(l - 1)
Let 20*j**5 + 55*j**4 - 75*j**3 - 205*j**2 - 65*j + 30 = 0. Calculate j.
-3, -1, 1/4, 2
Find p, given that -9*p**3 + 187*p**2 - 840*p - 196 = 0.
-2/9, 7, 14
Solve 6*z**4/11 + 362*z**3/11 - 618*z**2/11 + 126*z/11 + 124/11 = 0 for z.
-62, -1/3, 1
Factor w**2/5 - 29*w/5 - 78.
(w - 39)*(w + 10)/5
Factor a**4/3 - 164*a**3/3 - 332*a**2/3.
a**2*(a - 166)*(a + 2)/3
Factor -5*h**4 + 260*h**3 + 555*h**2 - 810*h.
-5*h*(h - 54)*(h - 1)*(h + 3)
Solve 34*u**5/7 + 166*u**4/7 + 116*u**3/7 - 16*u**2/7 = 0 for u.
-4, -1, 0, 2/17
What is w in 3*w**4 - 39*w**3 + 108*w**2 = 0?
0, 4, 9
Factor a**2/5 - 378*a/5 - 379/5.
(a - 379)*(a + 1)/5
Factor t**3 - 56*t**2 - 1169*t + 1224.
(t - 72)*(t - 1)*(t + 17)
Factor -2*f**2/19 + 4540*f/19 + 4542/19.
-2*(f - 2271)*(f + 1)/19
Determine k so that -k**2/3 - 7*k + 46/3 = 0.
-23, 2
Solve -3*l**5/8 + 15*l**3/4 - 27*l/8 = 0 for l.
-3, -1, 0, 1, 3
Determine b, given that 5*b**2 + 10105*b + 20190 = 0.
-2019, -2
Suppose -j**2 - 196*j - 9604 = 0. Calculate j.
-98
Factor x**3/6 + 7*x**2/6 - 4*x/3.
x*(x - 1)*(x + 8)/6
Factor -z**3/3 + 8*z**2/3 + 29*z/3 - 60.
-(z - 9)*(z - 4)*(z + 5)/3
Factor -2*g**3 + 540*g**2.
-2*g**2*(g - 270)
Suppose d**3 + 21*d**2 + 135*d + 243 = 0. What is d?
-9, -3
What is y in -2*y**4 + 1030*y**3 + 2066*y**2 + 1034*y = 0?
-1, 0, 517
What is r in 3*r**4 - 5*r**3 - 47*r**2 - 15*r = 0?
-3, -1/3, 0, 5
Factor -4*d**3/5 - 44*d**2/5 + 32*d - 112/5.
-4*(d - 2)*(d - 1)*(d + 14)/5
Suppose 5*m**4 - 20*m**3 + 10*m**2 + 20*m - 15 = 0. What is m?
-1, 1, 3
Factor -4*x**3 + 444*x**2 + 1368*x.
-4*x*(x - 114)*(x + 3)
Find f such that 2*f**4/3 - 568*f**3/7 - 502*f**2/21 + 568*f/7 + 488/21 = 0.
-1, -2/7, 1, 122
Suppose -5*h**4 + 40*h**3 + 45*h**2 - 540*h - 540 = 0. Calculate h.
-3, -1, 6
Solve -2*a**4 + 132*a**3 + 136*a**2 - 132*a - 134 = 0.
-1, 1, 67
Factor -3*g**2 - 84*g + 2880.
-3*(g - 20)*(g + 48)
What is g in 3*g**2/2 + 99*g/2 + 243 = 0?
-27, -6
Let 3*g**4/2 - 3*g**3/2 - 39*g**2/2 + 75*g/2 - 18 = 0. Calculate g.
-4, 1, 3
Factor 4*y**5 + 8*y**4 + 4*y**3.
4*y**3*(y + 1)**2
Suppose -z**2/10 + 781*z - 3049805/2 = 0. Calculate z.
3905
Factor -k**2/3 + 29*k.
-k*(k - 87)/3
Let -5*i**3 - 30*i**2 + 185*i - 150 = 0. Calculate i.
-10, 1, 3
Factor 40*t**2 - 170*t - 95.
5*(2*t + 1)*(4*t - 19)
Suppose 3*j**3/2 + 117*j**2/2 + 1197*j/2 + 1083/2 = 0. Calculate j.
-19, -1
Factor 5*u**4/6 + 5*u**3/6 - 5*u**2/2 - 5*u/6 + 5/3.
5*(u - 1)**2*(u + 1)*(u + 2)/6
Factor -3*u**2 - 2958*u - 729147.
-3*(u + 493)**2
Factor -g**4/3 - 2*g**3 + 299*g**2/3 + 308*g - 23716/3.
-(g - 11)**2*(g + 14)**2/3
Find z such that z**5/3 - 4*z**3/3 - 2*z**2/3 + z + 2/3 = 0.
-1, 1, 2
Factor -2*v**5 + 52*v**4 - 338*v**3.
-2*v**3*(v - 13)**2
Factor o**2 + 222*o + 12321.
(o + 111)**2
Solve -18*f**4/5 + 372*f**3/5 - 1208*f**2/5 - 2128*f/5 - 768/5 = 0.
-2/3, 6, 16
Determine j so that -2*j**3 + 20*j**2 + 174*j + 288 = 0.
-3, 16
Determine i so that -i**2/4 + 93*i/4 - 170 = 0.
8, 85
Factor -12*r**3 + 5307*r**2 + 9315*r + 3996.
-3*(r - 444)*(r + 1)*(4*r + 3)
Let -2*l**2/7 - 3660*l/7 - 1674450/7 = 0. Calculate l.
-915
Factor w**3/6 + 35*w**2/6 - 37*w/3.
w*(w - 2)*(w + 37)/6
Factor -3*j**4/4 + 375*j**3/4 - 15867*j**2/4 + 237021*j/4 - 206763/2.
-3*(j - 41)**3*(j - 2)/4
Factor -50*f**3 - 5*f**2 + 160*f - 105.
-5*(f - 1)**2*(10*f + 21)
Factor -4*p**3 - 2032*p**2/5 - 51204*p/5 + 20808/5.
-4*(p + 51)**2*(5*p - 2)/5
Suppose 2*l**5 - 20*l**4 + 34*l**3 + 248*l**2 - 1056*l + 1152 = 0. What is l?
-4, 3, 4
Find b, given that 11*b**3/3 - 1369*b**2/9 + 652*b/9 + 164/9 = 0.
-2/11, 2/3, 41
What is d in -d**3/2 - 75*d**2/2 = 0?
-75, 0
Find b such that 3*b**5/5 - 33*b**4/5 + 18*b**3/5 + 474*b**2/5 - 21*b/5 - 441/5 = 0.
-3, -1, 1, 7
Let 2*j**5/5 - 152*j**4/5 + 2888*j**3/5 = 0. What is j?
0, 38
Factor -3*p**5 + 9*p**4 + 30*p**3 + 6*p**2 - 27*p - 15.
-3*(p - 5)*(p - 1)*(p + 1)**3
Find q such that -q**2/11 + 259*q/11 - 1764/11 = 0.
7, 252
Let 5*u**5/3 + 418*u**4/3 + 6812*u**3/3 - 80072*u**2/3 + 200192*u/3 - 67712/3 = 0. What is u?
-46, 2/5, 4
Let 3*o**3/2 - 3231*o**2 + 2319858*o - 555219348 = 0. What is o?
718
Find i, given that 2*i**3 + 588*i**2 + 43800*i + 85264 = 0.
-146, -2
Find u such that 3*u**5 - 24*u**4 - 36*u**3 + 78*u**2 + 33*u - 54 = 0.
-2, -1, 1, 9
Suppose 2*k**5/5 - 118*k**4 + 4628*k**3/5 - 10364*k**2/5 + 9194*k/5 - 574 = 0. Calculate k.
1, 5, 287
Let -8*a**3 + 310*a**2 - 2514*a - 648 = 0. Calculate a.
-1/4, 12, 27
Find p, given that p**5/2 + 13*p**4/3 + 12*p**3 + 9*p**2 - 9*p/2 = 0.
-3, 0, 1/3
Suppose -6*v**2/17 + 334*v/17 + 112/17 = 0. Calculate v.
-1/3, 56
Factor -p**2/4 + 1129*p/4 - 1127/2.
-(p - 1127)*(p - 2)/4
Factor -p**3/5 + 13*p**2/5 + p/5 - 13/5.
-(p - 13)*(p - 1)*(p + 1)/5
Factor -w**3 + 85*w**2 + 537*w + 819.
-(w - 91)*(w + 3)**2
Factor 5*f**4/4 + 25*f**3/4 + 5*f**2/2 - 25*f - 30.
5*(f - 2)*(f + 2)**2*(f + 3)/4
Solve p**2/3 - 7576*p/3 + 14348944/3 = 0 for p.
3788
Let 2*n**4/9 - 34*n**3 + 11546*n**2/9 + 1386*n - 23716/9 = 0. Calculate n.
-2, 1, 77
Find w such that 5*w**2 - 65*w - 9250 = 0.
-37, 50
Factor -2*g**2/7 - 328*g/7 - 138.
-2*(g + 3)*(g + 161)/7
Suppose -p**2/8 + 3*p/8 + 77/4 = 0. Calculate p.
-11, 14
Solve -2*r**5/13 + 284*r**4/13 - 13808*r**3/13 + 246560*r**2/13 - 829472*r/13 + 778688/13 = 0 for r.
2, 46
Factor -2*b**2/3 - 118*b/3 - 576.
-2*(b + 27)*(b + 32)/3
Factor -w**3/3 + w**2/3 + 74*w/3 - 48.
-(w - 8)*(w - 2)*(w + 9)/3
Factor -3*w**2/5 + 1893*w/5 + 1896/5.
-3*(w - 632)*(w + 1)/5
Factor -j**4/2 - 5*j**3/2 + 4*j**2 + 6*j.
-j*(j - 2)*(j + 1)*(j + 6)/2
Find c, given that c**3 - 83*c**2 + 1680*c + 1764 = 0.
-1, 42
Find r, given that -r**4/6 - 25*r**3/6 - 23*r**2/3 = 0.
-23, -2, 0
Factor -4*z**3 - 240*z**2 - 468*z + 109512.
-4*(z - 18)*(z + 39)**2
Factor -2*y**3 + 1206*y**2 + 7298*y + 6090.
-2*(y - 609)*(y + 1)*(y + 5)
Suppose -2*g**2 + 16*g = 0. What is g?
0, 8
Factor x**3/3 + 5*x**2 + 71*x/3 + 35.
(x + 3)*(x + 5)*(x + 7)/3
Factor f**3/5 - 46*f**2/5 + 429*f/5.
f*(f - 33)*(f - 13)/5
Let 2*w**3/9 + 2*w**2/3 - 2*w + 10/9 = 0. Calculate w.
-5, 1
Factor -5*r**5/2 + 105*r**4 - 1725*r**3/2 + 2000*r**2.
-5*r**2*(r - 32)*(r - 5)**2/2
Find h such that 3*h**3/7 + 54*h**2/7 + 288*h/7 + 384/7 = 0.
-8, -2
Find p, given that 3*p**3 - 159*p**2 + 2025*p + 2187 = 0.
-1, 27
Find m such that -2*m**5/7 - 8*m**4/7 - 2*m**3/7 + 4*m**2 + 40*m/7 + 16/7 = 0.
-2, -1, 2
Find f, given that -4*f**2/9 + 4*f/3 + 16/9 = 0.
-1, 4
Determine s so that -s**3 - 5*s**2 - 6*s = 0.
-3, -2, 0
Let -3*g**3/2 + 36*g**2 + 78*g = 0. Calculate g.
-2, 0, 26
Solve 2*h**3 + 28*h**2 - 2*h - 28 = 0.
-14, -1, 1
Suppose 14*l**5/11 + 12*l**4/11 - 4*l**3 - 8*l**2/11 + 30*l/11 - 4/11 = 0. What is l?
-2, -1, 1/7, 1
Determine p, given that -2*p**3/7 - 22*p**2 - 152*p/7 = 0.
-76, -1, 0
What is n in 2*n**4 + 30*n**3 + 122*n**2 + 42*n - 196 = 0?
-7, -2, 1
Factor r**2/2 + 5*r/2.
r*(r + 5)/2
Determine p so that -8*p**4 - 108*p**3 - 336*p**2 + 196*p = 0.
-7, 0, 1/2
Factor -3*v**4 + 27*v**3 + 135*v**2 - 339*v + 180.
-3*(v - 12)*(v - 1)**2*(v + 5)
Determine a, given that 3*a**4 - 9*a**3 - 75*a**2 - 63*a = 0.
-3, -1, 0, 7
Solve 3*y**5 + 18*y**4 + 51*y**3/4 - 57*y**2/4 - 63*y/4 - 15/4 = 0.
-5, -1, -1/2, 1
Determine d, given that -d**2/2 + 12*d + 56 = 0.
-4, 28
Factor -5*z**3 - 180*z**2 - 475*z + 660.
-5*(z - 1)*(z + 4)*(z + 33)
Suppose 3*c**5 - 15*c**4 - 18*c**3 + 114*c**2 - 129*c + 45 = 0. What is c?
-3, 1, 5
Factor -2*p**2 - 30*p - 72.
-2*(p + 3)*(p + 12)
Suppose 5*a**2 + 65*a - 70 = 0. What is a?
-14, 1
Factor -3*o**2 - 2958*o + 2961.
-3*(o -