+ 3*d**2/7 - 2*d/7.
d*(d - 2)*(d - 1)**2*(d + 1)/7
Determine q so that -12*q**4 - 14475*q**3 - 5821362*q**2 - 781032132*q - 194894424 = 0.
-402, -1/4
Factor -2*v**2/3 + 20*v/3 + 16.
-2*(v - 12)*(v + 2)/3
What is z in 2*z**5/3 - 32*z**4/9 - 8*z**3/3 = 0?
-2/3, 0, 6
Determine r, given that -8*r**5/9 + 14*r**4 - 544*r**3/9 - 16*r**2 + 384*r + 96 = 0.
-2, -1/4, 6
Factor -2*n**2/5 + 6*n/5 + 220.
-2*(n - 25)*(n + 22)/5
Factor -3*c**4/5 + 21*c**3/5 + 81*c**2/5 + 87*c/5 + 6.
-3*(c - 10)*(c + 1)**3/5
What is n in 4*n**2 + 80*n + 256 = 0?
-16, -4
What is i in -2*i**2/5 - 14812*i/5 - 27424418/5 = 0?
-3703
Find n, given that -n**2/4 + 269*n + 1077/4 = 0.
-1, 1077
Suppose -3*z**5 + 15*z**4 - 18*z**3 - 6*z**2 + 21*z - 9 = 0. What is z?
-1, 1, 3
Let 5*a**5/2 + 45*a**4/2 + 75*a**3 + 115*a**2 + 165*a/2 + 45/2 = 0. What is a?
-3, -1
What is f in f**4/4 + 5*f**3 - 3*f**2/4 - 31*f/2 - 10 = 0?
-20, -1, 2
Factor -2*s**3/9 - 1942*s**2/9 - 466528*s/9 + 2381440/9.
-2*(s - 5)*(s + 488)**2/9
Factor -2*o**4/3 + 58*o**3/3 + 256*o**2/3 + 88*o.
-2*o*(o - 33)*(o + 2)**2/3
Let 2*t**5/3 - 46*t**4/9 + 106*t**3/9 - 34*t**2/9 - 40*t/3 + 8 = 0. Calculate t.
-1, 2/3, 2, 3
Factor x**2/9 - x/3 - 4/9.
(x - 4)*(x + 1)/9
Determine i, given that -i**2 + 5198*i - 6754801 = 0.
2599
Factor 3*o**3/5 + 36*o**2 - 369*o/5 + 186/5.
3*(o - 1)**2*(o + 62)/5
Solve 2*j**3/7 - 594*j**2/7 + 1182*j/7 - 590/7 = 0.
1, 295
Factor -2*m**3/5 + 690*m**2 - 396750*m + 76043750.
-2*(m - 575)**3/5
Solve -4*b**4 - 80*b**3 + 2644*b**2 - 12880*b - 15600 = 0.
-39, -1, 10
Factor -j**3/9 + 22*j**2/3 - 365*j/9 + 100/3.
-(j - 60)*(j - 5)*(j - 1)/9
Solve -z**3/6 + z**2/3 + 25*z/6 - 25/3 = 0.
-5, 2, 5
Determine j so that -2*j**3/9 + 185*j**2/9 + 31*j/3 = 0.
-1/2, 0, 93
Factor q**2 - 1028*q + 264196.
(q - 514)**2
Determine c, given that 26*c**2/3 - 11054*c/3 + 1700/3 = 0.
2/13, 425
Factor g**3 - 10*g**2 + 28*g - 24.
(g - 6)*(g - 2)**2
Determine g so that -3*g**3 - 38*g**2/3 + 37*g/3 + 10/3 = 0.
-5, -2/9, 1
Factor 3*l**2 + 10680*l + 10677.
3*(l + 1)*(l + 3559)
Let 6*a**5/11 + 6*a**4 + 60*a**3/11 = 0. Calculate a.
-10, -1, 0
Determine u, given that -u**4/4 - 3*u**3/2 + 7*u**2/4 = 0.
-7, 0, 1
Factor 51529*w**4 - 908*w**3 + 4*w**2.
w**2*(227*w - 2)**2
Factor 4*h**4 + 32*h**3 + 60*h**2 - 16*h - 80.
4*(h - 1)*(h + 2)**2*(h + 5)
Factor 4*y**2 + 7456*y + 7452.
4*(y + 1)*(y + 1863)
Determine r, given that 3*r**2/4 - 2055*r/4 - 1029/2 = 0.
-1, 686
Suppose -2*m**3 - 78*m**2 - 220*m - 144 = 0. Calculate m.
-36, -2, -1
Determine g so that -3*g**2 + 420*g + 423 = 0.
-1, 141
Factor 2*v**2 + 42*v - 92.
2*(v - 2)*(v + 23)
Let 2*x**3 + 26*x**2 + 62*x - 90 = 0. What is x?
-9, -5, 1
Suppose q**4 + 96*q**3 + 373*q**2 + 462*q + 184 = 0. What is q?
-92, -2, -1
What is k in 35*k**3 - 355*k**2 + 50*k = 0?
0, 1/7, 10
What is c in 2*c**5 + 10*c**4 + 10*c**3 - 10*c**2 - 12*c = 0?
-3, -2, -1, 0, 1
Let 5*g**2 + 80*g + 140 = 0. Calculate g.
-14, -2
Solve -3*l**5/8 + 27*l**4/8 - 33*l**3/4 + 9*l**2/4 + 69*l/8 - 45/8 = 0.
-1, 1, 3, 5
Solve -84*q**5/5 + 93*q**4 + 441*q**3/5 - 1338*q**2/5 + 588*q/5 - 72/5 = 0.
-2, 1/4, 2/7, 1, 6
Find i such that i**5/5 + i**4/5 - 3*i**3/5 - i**2/5 + 2*i/5 = 0.
-2, -1, 0, 1
Factor -300*g**2 - 1260*g - 1323.
-3*(10*g + 21)**2
Find d, given that 3*d**5/2 - 12*d**4 + 75*d**3/2 - 57*d**2 + 42*d - 12 = 0.
1, 2
What is z in -4*z**5 - 136*z**4 - 472*z**3 + 288*z**2 + 1404*z - 1080 = 0?
-30, -3, 1
Find d, given that -10*d**2/7 + 936*d/7 + 376/7 = 0.
-2/5, 94
Determine z, given that -5*z**2 - 430*z - 9245 = 0.
-43
Find q, given that -q**4/5 + 7*q**3/5 + 8*q**2 + 44*q/5 = 0.
-2, 0, 11
Factor -2*q**3 - 506*q**2 + 1020*q.
-2*q*(q - 2)*(q + 255)
Suppose 26*z**3 - 134*z**2 + 20*z = 0. Calculate z.
0, 2/13, 5
Factor -2*u**2/7 - 17440*u/7 - 38019200/7.
-2*(u + 4360)**2/7
Find v, given that -v**2 - 156*v - 6084 = 0.
-78
Factor -25*f**3/4 - 495*f**2/4 + 621*f/4 - 189/4.
-(f + 21)*(5*f - 3)**2/4
Find t such that -t**3/2 - 55*t**2/2 + 92*t + 290 = 0.
-58, -2, 5
Determine l so that -24*l**5 - 21*l**4 + 579*l**3 - 936*l**2 + 108*l = 0.
-6, 0, 1/8, 2, 3
Factor -20*q**3 + 168*q**2 - 204*q + 56.
-4*(q - 7)*(q - 1)*(5*q - 2)
Solve -21*b**4 + 1695*b**3 - 31266*b**2 - 120204*b - 31752 = 0.
-3, -2/7, 42
What is u in -u**3 + u**2 + 4*u - 4 = 0?
-2, 1, 2
Factor -r**5/8 - r**4 - 11*r**3/4 - 3*r**2 - 9*r/8.
-r*(r + 1)**2*(r + 3)**2/8
Factor 2*c**2/3 - 3836*c/3 + 1839362/3.
2*(c - 959)**2/3
Factor -6*o**3 - 164*o**2 + 334*o/3 - 56/3.
-2*(o + 28)*(3*o - 1)**2/3
Factor 3*o**4 + 36*o**3 + 33*o**2.
3*o**2*(o + 1)*(o + 11)
Factor -20*j**5 - 35*j**4 + 10*j**3.
-5*j**3*(j + 2)*(4*j - 1)
Let r**2 + 222*r + 12321 = 0. Calculate r.
-111
Factor 15*j**5 - 70*j**4 + 65*j**3 + 90*j**2 - 100*j - 40.
5*(j - 2)**3*(j + 1)*(3*j + 1)
Factor -2*u**2/9 + 152*u/9 - 2888/9.
-2*(u - 38)**2/9
What is a in -5*a**2 + 70*a + 360 = 0?
-4, 18
Solve 2*s**4 + 209*s**3/2 + 26*s**2 = 0 for s.
-52, -1/4, 0
Factor -2*i**4/15 + 8*i**3/15 + 2*i**2/3.
-2*i**2*(i - 5)*(i + 1)/15
Suppose -y**2/6 + 13*y/6 + 15 = 0. What is y?
-5, 18
Find y such that 4*y**2 + 60*y = 0.
-15, 0
Factor f**3/7 - 99*f**2/7 + 978*f/7 - 880/7.
(f - 88)*(f - 10)*(f - 1)/7
Determine r so that 4*r**3 - 456*r**2 + 896*r = 0.
0, 2, 112
Find s such that -3*s**2 - 366*s - 1071 = 0.
-119, -3
Suppose -5*b**3 - 240*b**2 + 5*b + 240 = 0. What is b?
-48, -1, 1
Determine c, given that 12*c**3 - 44*c**2 + 24*c = 0.
0, 2/3, 3
Factor -f**2 - 11*f + 26.
-(f - 2)*(f + 13)
What is j in j**5/4 + 3*j**4/4 + j**3/4 - 3*j**2/4 - j/2 = 0?
-2, -1, 0, 1
Suppose 5*w**4 - 200*w**3 - 210*w**2 + 200*w + 205 = 0. Calculate w.
-1, 1, 41
Determine q, given that -3*q**4/8 - 39*q**3/2 + 243*q**2/4 - 123*q/2 + 165/8 = 0.
-55, 1
What is v in -2*v**3 + 154*v**2 - 3822*v + 30870 = 0?
21, 35
Factor -5*m**5 + 30*m**4 + 80*m**3 - 370*m**2 + 405*m - 140.
-5*(m - 7)*(m - 1)**3*(m + 4)
Factor -4*d**5 - 8*d**4 + 60*d**3 + 144*d**2.
-4*d**2*(d - 4)*(d + 3)**2
Suppose 5*j**3 - 180*j**2 - 380*j = 0. Calculate j.
-2, 0, 38
Find d, given that -10*d**5 + 157*d**4/3 - 31*d**3 - 236*d**2/3 + 20*d + 16/3 = 0.
-1, -1/6, 2/5, 2, 4
Let 5*h**2/3 - 35*h/3 = 0. Calculate h.
0, 7
Factor -f**2/3 + 1372*f - 1411788.
-(f - 2058)**2/3
Factor -4*x**3/3 - 4*x**2/3 + 8*x.
-4*x*(x - 2)*(x + 3)/3
Factor -j**4 - 13*j**3 + 5*j**2 + 333*j - 324.
-(j - 4)*(j - 1)*(j + 9)**2
What is r in 2*r**4 + 104*r**3 + 662*r**2 + 1464*r + 1080 = 0?
-45, -3, -2
Factor -k**2/3 + 106*k/3.
-k*(k - 106)/3
Let 8*y**3/23 + 2*y**2/23 = 0. What is y?
-1/4, 0
Determine p so that 2*p**5/11 - 222*p**4/11 + 6268*p**3/11 - 5828*p**2/11 - 570*p + 550 = 0.
-1, 1, 55
Factor 4*v**5 + 24*v**4 + 12*v**3 - 184*v**2 - 432*v - 288.
4*(v - 3)*(v + 2)**3*(v + 3)
Factor -x**4 - 122*x**3 - 4177*x**2 - 27816*x - 51984.
-(x + 4)**2*(x + 57)**2
Solve 2*c**4/3 + 112*c**3/3 + 648*c**2 + 8960*c/3 - 26624/3 = 0.
-26, -16, 2
Factor 3*i**2/2 - 3066*i + 1566726.
3*(i - 1022)**2/2
Find w such that w**3 - 14*w**2 + 60*w - 72 = 0.
2, 6
Factor -2*d**2/3 - 106*d/3 - 392/3.
-2*(d + 4)*(d + 49)/3
Solve 2*n**3/13 - 810*n**2/13 + 1614*n/13 - 62 = 0 for n.
1, 403
Factor k**3/6 - 4*k**2/3 - 31*k/2 + 90.
(k - 12)*(k - 5)*(k + 9)/6
Determine p, given that -2*p**5/7 - 120*p**4/7 + 374*p**3/7 - 36*p**2 = 0.
-63, 0, 1, 2
Solve -k**5 + 385*k**4 - 37244*k**3 + 35324*k**2 + 148992*k - 147456 = 0 for k.
-2, 1, 2, 192
Suppose -2*y**4/3 + 2*y**3/3 + 2*y**2 - 2*y/3 - 4/3 = 0. What is y?
-1, 1, 2
Factor -p**2/2 + 229*p + 1383/2.
-(p - 461)*(p + 3)/2
Suppose -5*v**3 + 15*v**2 + 405*v + 385 = 0. What is v?
-7, -1, 11
What is f in -f**4 + 6*f**3 - 4*f**2 - 6*f + 5 = 0?
-1, 1, 5
Determine v, given that -2*v**2/3 + 28*v/3 - 16 = 0.
2, 12
Determine q so that 5*q**2 - 205*q + 570 = 0.
3, 38
Let -5*z**3 - 46*z**2/3 + 36*z + 88/3 = 0. Calculate z.
-22/5, -2/3, 2
Determine d, given that d**3 + 112*d**2/3 - 251*d + 390 = 0.
-130/3, 3
Solve 4*m**4/3 + 28*m**3/3 + 8*m**2/3 - 112*m/3 - 32 = 0.
-6, -2, -1, 2
Let f**2/2 - f - 3/2 = 0. What is f?
-1, 3
Factor -4*p**4 - 5*p**3 + 3*p**2 + 5*p + 1.
-(p - 1)*(p + 1)**2*(4*p + 1)
Determine c so that -16000*c**3 + 21600*c**2 - 9720*c + 1458 = 0.
9/20
Determine u so that -138*u**4 - 22*u**3 = 0.
-11/69, 0
Factor 5*l**4/3 - 52*l**3/3 + 21*l**2 + 180*l - 252.
(l - 6)**2*(l + 3)*(5*l - 7)/3
Find q such that -4*q**5 + 568*q**4 - 19588*q**3 - 4