*2/9 - 352*n/9 - 15488/9.
-2*(n + 88)**2/9
Suppose l**2/4 - 679*l/2 + 461041/4 = 0. What is l?
679
Let -c**4 + 10*c**3 - 19*c**2 - 30*c = 0. What is c?
-1, 0, 5, 6
Factor -2*o**5/5 + 1616*o**4/5 - 4836*o**3/5 + 4832*o**2/5 - 322*o.
-2*o*(o - 805)*(o - 1)**3/5
Suppose k**2/11 - 546*k/11 + 545/11 = 0. Calculate k.
1, 545
Find u such that -u**2/3 - 59*u/3 + 20 = 0.
-60, 1
Solve 5*h**3 + 5*h**2 - 550*h = 0 for h.
-11, 0, 10
Solve -12*w**3 - 1004*w**2 - 20832*w + 7056 = 0.
-42, 1/3
Factor -j**2 + 6021*j/4 - 1505/4.
-(j - 1505)*(4*j - 1)/4
Determine y, given that y**4/5 - 128*y**3 + 101112*y**2/5 + 82432*y + 414736/5 = 0.
-2, 322
Factor q**2 + 686*q + 117649.
(q + 343)**2
Factor -18*c**3/5 - 15612*c**2/5 - 20792*c/5 - 6928/5.
-2*(c + 866)*(3*c + 2)**2/5
Factor u**2 + 178*u + 7921.
(u + 89)**2
Factor -3*t**3 - 18*t**2 + 21*t.
-3*t*(t - 1)*(t + 7)
Find a such that -a**2/6 - 26*a/3 - 17/2 = 0.
-51, -1
Factor -9*a**3/4 + 17*a**2/2 + 53*a/4 + 5/2.
-(a - 5)*(a + 1)*(9*a + 2)/4
Find u, given that -55*u**4 + 1010*u**3 - 4815*u**2 + 7560*u - 2160 = 0.
4/11, 3, 12
Factor 2*o**3/7 - 48*o**2/7 - 90*o - 1700/7.
2*(o - 34)*(o + 5)**2/7
Determine f, given that 2*f**4 + 460*f**3 + 31394*f**2 + 568560*f + 3055392 = 0.
-103, -12
Solve 7*c**5 - 15*c**4 - 131*c**3 - 177*c**2 - 56*c + 12 = 0 for c.
-2, -1, 1/7, 6
Factor -y**3/7 + 16*y**2/7 + 192*y/7.
-y*(y - 24)*(y + 8)/7
Find u, given that 5*u**2 - 450*u + 10125 = 0.
45
Suppose -g**2/4 - 77*g/2 - 453/4 = 0. What is g?
-151, -3
Factor 5*s**4 + 20*s**3 - 5*s**2 - 20*s.
5*s*(s - 1)*(s + 1)*(s + 4)
Solve -z**4/3 + 517*z**3/3 - 22360*z**2 + 22188*z = 0.
0, 1, 258
Let 5*b**4 - 390*b**3 - 405*b**2 + 790*b = 0. What is b?
-2, 0, 1, 79
Solve -9*a**2/5 + 5*a = 0.
0, 25/9
Factor z**2 + 4*z - 5.
(z - 1)*(z + 5)
Solve -2*u**3/5 + 36*u**2/5 + 42*u/5 - 76/5 = 0 for u.
-2, 1, 19
Suppose 2*v**3/13 - 220*v**2/13 + 434*v/13 - 216/13 = 0. What is v?
1, 108
Factor -3*i**3/2 - 1340*i**2 - 597639*i/2 + 199809.
-(i + 447)**2*(3*i - 2)/2
Solve 2*j**4/15 - 18*j**3/5 + 10*j**2/3 + 18*j/5 - 52/15 = 0 for j.
-1, 1, 26
Let 4*u**3 + 40*u**2 = 0. What is u?
-10, 0
Factor 3*k**2/4 - 891*k/2 + 264627/4.
3*(k - 297)**2/4
Let -s**5 - 10*s**4 - 13*s**3 + 32*s**2 + 68*s + 32 = 0. Calculate s.
-8, -2, -1, 2
Solve -27*a**5/4 - 9*a**4 + 1077*a**3/4 - 267*a**2/2 - 888*a + 840 = 0 for a.
-7, -2, 4/3, 5
Factor -2*y**2/5 + 13*y/5 + 7/5.
-(y - 7)*(2*y + 1)/5
Let -5*v**5 - 15*v**4 + 35*v**3 + 75*v**2 - 90*v = 0. What is v?
-3, 0, 1, 2
Factor d**4/2 + 2*d**3.
d**3*(d + 4)/2
What is c in 4*c**3 - 16*c**2 - 164*c - 144 = 0?
-4, -1, 9
Find k, given that 152*k**3 - 1516*k**2 + 3760*k + 100 = 0.
-1/38, 5
Factor -l**2 - 194*l - 9409.
-(l + 97)**2
Factor w**4/2 + 50*w**3 + 2397*w**2/2 - 2601*w.
w*(w - 2)*(w + 51)**2/2
Find q, given that 4*q**3 + 88*q**2 + 612*q + 1296 = 0.
-9, -4
Factor 2*t**3/13 - 2*t**2/13 - 2*t/13 + 2/13.
2*(t - 1)**2*(t + 1)/13
Suppose -7*d**4/3 - 4*d**3/3 + 10*d**2/3 + 4*d/3 - 1 = 0. Calculate d.
-1, 3/7, 1
Factor -k**4 - 5*k**3 - 9*k**2 - 7*k - 2.
-(k + 1)**3*(k + 2)
Factor -h**2/5 + 1336*h/5 - 446224/5.
-(h - 668)**2/5
Suppose -27*j**3 + 384*j**2 - 720*j = 0. What is j?
0, 20/9, 12
Let 4*q**3/7 - 1308*q**2/7 + 104940*q/7 + 326700/7 = 0. Calculate q.
-3, 165
Let -m**2/2 + 83*m/2 - 41 = 0. Calculate m.
1, 82
Factor -2*g**2/5 + 82*g/5 - 16.
-2*(g - 40)*(g - 1)/5
Factor 3*c**3/5 + 78*c**2/5 - 51*c + 174/5.
3*(c - 2)*(c - 1)*(c + 29)/5
Factor 2*i**3 + 26*i**2 - 172*i + 144.
2*(i - 4)*(i - 1)*(i + 18)
Find c such that -2*c**4/13 + 4*c**3 + 54*c**2/13 = 0.
-1, 0, 27
What is p in 48*p**4/7 - 936*p**3 + 216939*p**2/7 + 64818*p + 230187/7 = 0?
-1, 277/4
Factor 2*z**5/3 + 122*z**4/3 + 238*z**3/3 + 118*z**2/3.
2*z**2*(z + 1)**2*(z + 59)/3
Suppose -l**4 - 38*l**3 - 397*l**2 - 684*l - 324 = 0. What is l?
-18, -1
Factor -3*w**4 + 24*w**3 - 63*w**2 + 54*w.
-3*w*(w - 3)**2*(w - 2)
Factor 3*b**3/5 + 432*b**2.
3*b**2*(b + 720)/5
Factor 4*d**2 - 140*d + 1104.
4*(d - 23)*(d - 12)
Factor -5*p**3 - 55*p**2 - 170*p - 120.
-5*(p + 1)*(p + 4)*(p + 6)
Factor -s**2 - 657*s - 656.
-(s + 1)*(s + 656)
Factor 4*v**4 - 60*v**3 + 244*v**2 - 84*v - 392.
4*(v - 7)**2*(v - 2)*(v + 1)
What is i in 144*i**5 - 1632*i**4 + 5716*i**3 - 6956*i**2 + 1872*i - 144 = 0?
1/6, 2, 3, 6
Solve -15*v**3 - 3534*v**2 - 207444*v + 83544 = 0.
-118, 2/5
Suppose 2*k**2/9 - 2*k - 20/9 = 0. Calculate k.
-1, 10
Determine a so that a**5/4 - 3*a**4/2 - 3*a**3/2 + 7*a**2 + 45*a/4 + 9/2 = 0.
-1, 3, 6
Solve -2*r**3/5 + 108*r**2 - 9720*r + 291600 = 0 for r.
90
Factor 2*q**3 + 10*q**2 + 12*q.
2*q*(q + 2)*(q + 3)
Find p, given that 20*p**4 - 56*p**3 + 36*p**2 = 0.
0, 1, 9/5
Find f, given that 2*f**3 + 16*f**2 + 26*f + 12 = 0.
-6, -1
Determine g, given that -5*g**2 + 1880*g + 5685 = 0.
-3, 379
Factor t**2/5 + 2*t/5 - 3/5.
(t - 1)*(t + 3)/5
Factor g**2 + 157*g + 156.
(g + 1)*(g + 156)
Factor 7*h**2/5 - 11*h/5 - 6.
(h - 3)*(7*h + 10)/5
Find y such that -4*y**4 + 16*y**3 + 12*y**2 - 56*y + 32 = 0.
-2, 1, 4
Find z such that 3*z**5 - 12*z**4 - 36*z**3 + 102*z**2 + 33*z - 90 = 0.
-3, -1, 1, 2, 5
Suppose y**4 - 10708*y**3 + 28654606*y**2 + 57341340*y + 28676025 = 0. Calculate y.
-1, 5355
Factor -10*z**3/3 - 592*z**2 - 26166*z + 31684/3.
-2*(z + 89)**2*(5*z - 2)/3
Let -20*t**2 + 76*t - 56 = 0. Calculate t.
1, 14/5
Solve -5*f**2 + 200*f - 2000 = 0.
20
Factor -3*u**4/2 - 15*u**3/2 - 9*u**2/2 + 27*u/2.
-3*u*(u - 1)*(u + 3)**2/2
Let 2*r**2 + 206*r - 1308 = 0. What is r?
-109, 6
Factor -4*u**3 + 20*u**2 + 8*u - 96.
-4*(u - 4)*(u - 3)*(u + 2)
Find a, given that a**5/9 + 43*a**4/3 - 662*a**3/9 + 356*a**2/3 - 536*a/9 = 0.
-134, 0, 1, 2
What is o in -2*o**5 + 146*o**4 - 286*o**3 + 142*o**2 = 0?
0, 1, 71
Factor o**4/5 - 13*o**3/5 + 7*o**2 + 49*o/5.
o*(o - 7)**2*(o + 1)/5
Factor w**2/4 - 154*w + 23716.
(w - 308)**2/4
Suppose 4*v**4/7 - 32*v**3 + 432*v**2/7 = 0. What is v?
0, 2, 54
Find i, given that -12*i**3/7 - 10*i**2/7 + 94*i/7 + 132/7 = 0.
-2, -11/6, 3
Solve -c**2/3 + 30*c + 184/3 = 0.
-2, 92
Factor -25*v**2 - 910*v - 360.
-5*(v + 36)*(5*v + 2)
Determine u so that 4*u**5 + 44*u**4 + 80*u**3 - 320*u**2 - 384*u + 576 = 0.
-6, -2, 1, 2
Factor 5*w**4 - 202*w**3 + 460*w**2 - 152*w.
w*(w - 38)*(w - 2)*(5*w - 2)
Factor 2*f**4/23 + 288*f**3/23 + 10368*f**2/23.
2*f**2*(f + 72)**2/23
Suppose 507*x**3/7 + 3198*x**2/7 + 948*x/7 + 72/7 = 0. Calculate x.
-6, -2/13
Solve z**3/5 - 54*z**2/5 - 229*z/5 - 174/5 = 0 for z.
-3, -1, 58
Factor -2*z**2/5 + 1796*z/5 - 1794/5.
-2*(z - 897)*(z - 1)/5
Factor -24*r**3 - 141*r**2 + 402*r - 48.
-3*(r - 2)*(r + 8)*(8*r - 1)
Suppose t**5/4 - 5*t**3/4 + t = 0. What is t?
-2, -1, 0, 1, 2
Find x, given that 4*x**3 - 20*x**2 - 128*x - 144 = 0.
-2, 9
Find x such that 5*x**3 + 425*x**2 - 20*x - 1700 = 0.
-85, -2, 2
Suppose -97682*m**3/5 - 19890*m**2 - 1776*m/5 - 8/5 = 0. Calculate m.
-1, -2/221
Solve -75*l**5 - 235*l**4 - 91*l**3/3 + 299*l**2 + 40*l + 4/3 = 0.
-2, -1/15, 1
Factor 25*s**4 - 215*s**3 + 111*s**2 + 71*s + 8.
(s - 8)*(s - 1)*(5*s + 1)**2
Solve 27*g**4/5 + 18*g**3/5 + 3*g**2/5 = 0 for g.
-1/3, 0
Factor 2*w**4 + 8*w**3 - 74*w**2 + 136*w - 72.
2*(w - 2)**2*(w - 1)*(w + 9)
Factor 6*p**3/7 + 62*p**2/7 + 164*p/7 + 48/7.
2*(p + 4)*(p + 6)*(3*p + 1)/7
Factor 2*h**2/13 - 36*h/13 + 34/13.
2*(h - 17)*(h - 1)/13
Factor k**4/4 + 7*k**3 + 175*k**2/4 - 51*k.
k*(k - 1)*(k + 12)*(k + 17)/4
Factor 5*a**5 + 30*a**4 + 55*a**3 + 10*a**2 - 60*a - 40.
5*(a - 1)*(a + 1)*(a + 2)**3
Factor -4*i**5/5 + 4*i**4 - 28*i**3/5 + 12*i**2/5.
-4*i**2*(i - 3)*(i - 1)**2/5
Factor 4*x**3 + 56*x**2 + 176*x + 160.
4*(x + 2)**2*(x + 10)
Let -5*w**5 + 40*w**4 - 45*w**3 - 130*w**2 + 260*w - 120 = 0. Calculate w.
-2, 1, 2, 6
Factor -28*s**4 - 204*s**3 - 392*s**2 - 96*s.
-4*s*(s + 3)*(s + 4)*(7*s + 2)
Let -3*p**2 + 6966*p - 4043763 = 0. What is p?
1161
Find b such that b**2 - 620*b + 2464 = 0.
4, 616
Solve -9*r**5/5 + 93*r**4 - 279*r**3/5 - 1377*r**2/5 - 12*r/5 + 612/5 = 0 for r.
-1, 2/3, 2, 51
Solve 25*t**3/4 - 215*t**2/2 + 336*t + 1152 = 0 for t.
-2, 48/5
Solve 2*m**4 - 34*m**3 + 156*m**2 - 64*m - 256 = 0.
-1, 2, 8
Suppose -5*g**2 + 70*g + 160 = 0. What is g?
-2, 16
What is n in -28*n**5 + 52*n**4 + 120*n**3 - 208*n**2 - 32*n = 0?
-2, -1/7, 0, 2
What is c in -30*c**3 + 4*c**2 + 120*c - 16 = 0?
-2, 2/15, 2
Let -o**3 - 5*o**2 + 13*o - 7 = 0. Calculat