5 + 135*r**4 + 975*r**3 + 845*r**2.
5*r**2*(r + 1)*(r + 13)**2
Solve 33*t**4/2 - 273*t**3/2 + 300*t**2 - 72*t = 0 for t.
0, 3/11, 4
Factor -5*b**2/2 - 50*b + 110.
-5*(b - 2)*(b + 22)/2
Find f such that 20*f**3 + 152*f**2 + 84*f = 0.
-7, -3/5, 0
Solve 2*m**3/5 - 102*m**2/5 + 1734*m/5 - 9826/5 = 0.
17
Factor -4*o**3/7 - 1524*o**2/7 - 4544*o/7 - 432.
-4*(o + 1)*(o + 2)*(o + 378)/7
Factor -q**2 + 155*q - 154.
-(q - 154)*(q - 1)
Factor -289*a**2/4 + 51*a/2 - 9/4.
-(17*a - 3)**2/4
Factor 8*u**3 + 308*u**2 + 3040*u + 1444.
4*(u + 19)**2*(2*u + 1)
Factor 2*i**3/7 - 54*i**2/7 + 486*i/7 - 1458/7.
2*(i - 9)**3/7
Factor 4*k**4 - 176*k**3 + 1068*k**2 - 1120*k - 2368.
4*(k - 37)*(k - 4)**2*(k + 1)
Factor 2*t**4 + 8*t**3 - 74*t**2 + 136*t - 72.
2*(t - 2)**2*(t - 1)*(t + 9)
Find r, given that 2*r**5/3 - 1228*r**4/3 + 188498*r**3/3 = 0.
0, 307
Let p**3 - 32*p**2/3 - 41*p = 0. What is p?
-3, 0, 41/3
Determine u, given that -4*u**5/3 + 11*u**4 - 18*u**3 + 25*u**2/3 = 0.
0, 1, 25/4
Factor -i**2/2 + 5116*i - 13086728.
-(i - 5116)**2/2
Factor 4*c**4 - 24*c**3 - 108*c**2 - 16*c + 144.
4*(c - 9)*(c - 1)*(c + 2)**2
Factor -2*h**3/21 + 16*h**2/7 + 170*h/21 - 72/7.
-2*(h - 27)*(h - 1)*(h + 4)/21
Find d, given that -2*d**2 + 186*d + 380 = 0.
-2, 95
Factor -2*f**3/5 - 74*f**2/5 + 432*f/5 + 504/5.
-2*(f - 6)*(f + 1)*(f + 42)/5
Determine v, given that v**4/5 - 3*v**3/5 - 2*v**2 = 0.
-2, 0, 5
Suppose 4*d**4 + 64*d**3 + 252*d**2 + 368*d + 176 = 0. What is d?
-11, -2, -1
Factor -k**3/4 + 239*k**2/2 - 57121*k/4.
-k*(k - 239)**2/4
Solve 5*w**5 - 200*w**3 + 350*w**2 + 195*w - 350 = 0 for w.
-7, -1, 1, 2, 5
Factor 4*h**5 + 376*h**4 + 9204*h**3 + 17296*h**2 + 8464*h.
4*h*(h + 1)**2*(h + 46)**2
Determine c, given that 4*c**2 - 1108*c = 0.
0, 277
Suppose -3*i**2 - 27*i + 108 = 0. What is i?
-12, 3
Factor -j**2 - 12*j.
-j*(j + 12)
Find u, given that u**3/4 - 6*u**2 + 45*u - 100 = 0.
4, 10
Determine q so that 12*q**4 - 190*q**3 - 452*q**2 - 286*q - 36 = 0.
-1, -1/6, 18
Factor 3*p**3/5 - 18*p**2/5 + 27*p/5.
3*p*(p - 3)**2/5
Let u**2 + 90*u + 176 = 0. What is u?
-88, -2
Find n such that 34*n**4 + 14*n**3 - 196*n**2 - 176*n = 0.
-2, -1, 0, 44/17
Factor p**3/4 - 561*p**2/4 + 104907*p/4 - 6539203/4.
(p - 187)**3/4
Find x, given that -7*x**4/4 - 171*x**3/2 - 230*x**2 = 0.
-46, -20/7, 0
Factor -4*o**4 + 356*o**3 + 12*o**2 - 1076*o + 712.
-4*(o - 89)*(o - 1)**2*(o + 2)
Solve 900*c**3 + 29940*c**2 + 7936*c + 528 = 0 for c.
-33, -2/15
Find y such that -5*y**5 + 30*y**4 + 100*y**3 - 450*y**2 - 95*y + 420 = 0.
-4, -1, 1, 3, 7
Factor -k**5/3 + k**4/3 + 3*k**3 + 11*k**2/3 + 4*k/3.
-k*(k - 4)*(k + 1)**3/3
Factor 2*p**2/5 + 116*p/5 + 1344/5.
2*(p + 16)*(p + 42)/5
Find n such that -4*n**4 + 64*n**3 - 116*n**2 - 2296*n + 9408 = 0.
-6, 7, 8
Factor -5*k**2/3 + 35*k/3 + 50.
-5*(k - 10)*(k + 3)/3
Suppose 2*c**5/5 - 2*c**4 + 12*c**3/5 + 4*c**2/5 - 14*c/5 + 6/5 = 0. What is c?
-1, 1, 3
Factor -2*v**4 - 34*v**3 - 130*v**2 + 250*v + 1500.
-2*(v - 3)*(v + 5)**2*(v + 10)
Factor -2*u**3/15 + 38*u**2/5 - 384*u/5 + 216.
-2*(u - 45)*(u - 6)**2/15
Factor 2*j**4/5 - 178*j**3/5 + 1044*j**2 - 9720*j - 10800.
2*(j - 30)**3*(j + 1)/5
Factor 2*q**2 - 2154*q - 4316.
2*(q - 1079)*(q + 2)
Suppose -5*k**5 + 10*k**4 + 75*k**3 - 160*k**2 + 80*k = 0. Calculate k.
-4, 0, 1, 4
Determine p, given that 3*p**5/2 - 147*p**4/2 + 555*p**3/2 - 681*p**2/2 + 135*p = 0.
0, 1, 2, 45
Find l, given that -35*l**2 - 4910*l - 1400 = 0.
-140, -2/7
Factor -4*d**5 + 28*d**4 + 32*d**3.
-4*d**3*(d - 8)*(d + 1)
Suppose 4*z**5/5 - 4*z**4 - 16*z**3/5 + 16*z**2 = 0. Calculate z.
-2, 0, 2, 5
Determine j so that -2*j**2 + 2*j + 40 = 0.
-4, 5
Factor -4*l**4/7 + 32*l**3/7 + 80*l**2/7.
-4*l**2*(l - 10)*(l + 2)/7
Factor -5*f**3 - 35*f**2 - 60*f.
-5*f*(f + 3)*(f + 4)
Let 125*d**5 + 425*d**4 - 1845*d**3 + 715*d**2 + 520*d + 60 = 0. What is d?
-6, -1/5, 1, 2
Factor 3*p**3 - 6*p**2 - 24*p.
3*p*(p - 4)*(p + 2)
What is u in -2*u**5/7 - 18*u**4/7 - 4*u**3 + 4*u**2/7 + 30*u/7 + 2 = 0?
-7, -1, 1
Factor -2*g**2/9 - 32*g/9 + 8.
-2*(g - 2)*(g + 18)/9
Suppose -5*n**5 - 15*n**4 + 25*n**3 + 15*n**2 - 20*n = 0. Calculate n.
-4, -1, 0, 1
Solve 2*k**4 - 10*k**3 + 18*k**2 - 14*k + 4 = 0 for k.
1, 2
Solve 4*g**5/3 + 35*g**4/3 + 21*g**3 - 6*g**2 = 0 for g.
-6, -3, 0, 1/4
Factor -2*x**3/9 + 2*x**2/9 + 100*x/9 + 32/3.
-2*(x - 8)*(x + 1)*(x + 6)/9
Factor 217*o**4 - 2*o**3 - 217*o**2 + 2*o.
o*(o - 1)*(o + 1)*(217*o - 2)
Factor 2*a**4/9 - 22*a**3/9 - 26*a**2/3 - 82*a/9 - 28/9.
2*(a - 14)*(a + 1)**3/9
Suppose -4*t**3 - 184*t**2 + 187*t - 47 = 0. Calculate t.
-47, 1/2
Let 2*s**2 - 340*s + 14450 = 0. What is s?
85
Find p, given that 4*p**4 - 48*p**3 - 12*p**2 + 136*p + 96 = 0.
-1, 2, 12
Suppose -3*k**2/2 + 39*k - 207/2 = 0. What is k?
3, 23
Determine w so that w**4/6 - 7*w**3 - 91*w**2/6 + 22*w = 0.
-3, 0, 1, 44
What is y in -2*y**4 - 71*y**3/9 + 4*y**2/9 = 0?
-4, 0, 1/18
Factor q**3/2 + 137*q**2/2 + 271*q/2 + 135/2.
(q + 1)**2*(q + 135)/2
Factor 3*q**4 + 51*q**3 + 183*q**2 - 351*q - 486.
3*(q - 2)*(q + 1)*(q + 9)**2
Factor 2*a**2 + 25828*a + 83385698.
2*(a + 6457)**2
Factor -y**2 + 85*y + 1274.
-(y - 98)*(y + 13)
Factor i**2/4 - 2093*i + 4380649.
(i - 4186)**2/4
Let 11*w**3/2 - 274*w**2 - 1849*w/2 - 159 = 0. What is w?
-3, -2/11, 53
Factor g**3/2 + g**2 - 13*g/2 + 5.
(g - 2)*(g - 1)*(g + 5)/2
Solve h**2/5 - 56*h/5 = 0 for h.
0, 56
Factor o**3 - 43*o**2 + 408*o - 1116.
(o - 31)*(o - 6)**2
Let 2*i**2 - 100*i + 98 = 0. What is i?
1, 49
Factor -b**3/5 + 6*b**2/5 - b.
-b*(b - 5)*(b - 1)/5
What is o in -5*o**5 - 300*o**4 + 635*o**3 + 910*o**2 - 1260*o - 1240 = 0?
-62, -1, 2
Factor -4*n**3/5 + 56*n**2/5 + 16*n/5 - 224/5.
-4*(n - 14)*(n - 2)*(n + 2)/5
Let -2*r**3/5 - 24*r**2/5 - 22*r/5 = 0. What is r?
-11, -1, 0
Solve k**4/5 - 41*k**3/5 + 522*k**2/5 - 320*k - 5632/5 = 0 for k.
-2, 11, 16
Let 4*x**4/5 - 296*x**3/5 = 0. Calculate x.
0, 74
Factor 3*z**3 - 12*z**2 - 57*z - 42.
3*(z - 7)*(z + 1)*(z + 2)
Factor -w**3/7 - 632*w**2/7 - 1261*w/7 - 90.
-(w + 1)**2*(w + 630)/7
Solve -i**2 + 14932*i - 55741156 = 0 for i.
7466
What is r in 2*r**5/11 + 16*r**4/11 - 30*r**3/11 - 324*r**2/11 + 216*r/11 + 1296/11 = 0?
-6, -2, 3
Factor 3*h**4 - 24*h**3 - 60*h**2.
3*h**2*(h - 10)*(h + 2)
Let -60*q**5 - 261*q**4 - 255*q**3 - 27*q**2 + 27*q = 0. What is q?
-3, -1, -3/5, 0, 1/4
Determine b so that 4*b**5/3 - 64*b**4/3 + 120*b**3 - 800*b**2/3 + 500*b/3 = 0.
0, 1, 5
Factor -5*k**2/3 - 100*k/3 - 95/3.
-5*(k + 1)*(k + 19)/3
Suppose h**5/10 - h**4/2 + 9*h**3/10 - 7*h**2/10 + h/5 = 0. Calculate h.
0, 1, 2
Suppose -3*s**2 - s + 70 = 0. Calculate s.
-5, 14/3
Factor o**2/4 + 301*o/2 + 601/4.
(o + 1)*(o + 601)/4
Find s, given that 2*s**2 + 804*s + 80802 = 0.
-201
Solve -15*k**3 + 415*k**2 - 1840*k - 660 = 0 for k.
-1/3, 6, 22
Factor -m**3/7 + 54*m**2/7 - 729*m/7.
-m*(m - 27)**2/7
Factor -4*x**2 - 1912*x - 228484.
-4*(x + 239)**2
Factor 2*a**4/7 - 2*a**3/7 - 20*a**2/7 - 16*a/7.
2*a*(a - 4)*(a + 1)*(a + 2)/7
Suppose -3*w**2/2 + 27*w/2 - 21 = 0. What is w?
2, 7
Determine d, given that 2*d**2 + 23*d/2 = 0.
-23/4, 0
Solve -3*a**4/2 + 72*a**3 - 1575*a**2/2 - 1875*a = 0 for a.
-2, 0, 25
Factor 4*z**2 + 132*z - 136.
4*(z - 1)*(z + 34)
Factor -4*j**2 - 25576*j - 40883236.
-4*(j + 3197)**2
Factor -5*b**4 + 65*b**2 + 60*b.
-5*b*(b - 4)*(b + 1)*(b + 3)
Determine k, given that -3*k**5 + 66*k**4 - 543*k**3 + 2076*k**2 - 3660*k + 2400 = 0.
2, 5, 8
Factor 3*s**2/2 + 2889*s + 2782107/2.
3*(s + 963)**2/2
Factor -3*q**3/8 + 3*q**2/4 + 27*q/8 - 27/4.
-3*(q - 3)*(q - 2)*(q + 3)/8
Determine l so that -180*l**2 - 8220*l - 93845 = 0.
-137/6
Factor -2*m**2/7 + 222*m/7 + 452/7.
-2*(m - 113)*(m + 2)/7
Let -2*q**3/3 + 2*q**2/5 + 16*q/15 = 0. What is q?
-1, 0, 8/5
Factor b**3/2 + 7*b**2/2 - 53*b - 56.
(b - 8)*(b + 1)*(b + 14)/2
Find h, given that -4*h**4 + 52*h**3 - 48*h**2 = 0.
0, 1, 12
Factor -z**4 - 5*z**3 - 6*z**2 + 4*z + 8.
-(z - 1)*(z + 2)**3
Factor -3*i**2/4 - 2367*i/4 - 3537/2.
-3*(i + 3)*(i + 786)/4
Solve 2*n**5/5 - 6*n**4/5 - 2*n**3/5 + 14*n**2/5 - 8/5 = 0 for n.
-1, 1, 2
Let 3*p**5/2 - p**4/2 - 22*p**3/3 + 8*p**2/3 + 16*p/3 - 8/3 = 0. Calculate p.
-2, -1, 2/3, 2
Solve -3*s**2 - 171*s + 540 = 0 for s.
-60, 3
Let -3*m**2/4 + 9*m/2 + 81/4 = 0. Calculate m.
-3, 9
Factor -12*h**3 + 244*h**2 - 304*h.
-4*h*(h - 19)*(3*h - 4)
Factor -3*b**5/7 + 30*b*