at is u in 2*u**5 - 8*u**4 - 24*u**3 - 4*u**2 + 22*u + 12 = 0?
-1, 1, 6
Determine t so that -35*t**4/4 + 65*t**3/2 + 285*t**2/4 - 70*t - 25 = 0.
-2, -2/7, 1, 5
Factor a**5 + 56*a**4 + 162*a**3 + 160*a**2 + 53*a.
a*(a + 1)**3*(a + 53)
Factor 97336*f**3/7 + 6348*f**2/7 + 138*f/7 + 1/7.
(46*f + 1)**3/7
Factor i**3 - 19*i**2/4 + 19*i/4 + 3/2.
(i - 3)*(i - 2)*(4*i + 1)/4
Solve 10*l**5 + 15*l**4 - 5*l**3 - 15*l**2 - 5*l = 0.
-1, -1/2, 0, 1
Solve 3*l**3 - 45*l**2 + 36*l + 84 = 0 for l.
-1, 2, 14
What is r in -2*r**2/13 - 808*r/13 - 62 = 0?
-403, -1
Factor 3*y**2/5 + 516*y/5 + 513/5.
3*(y + 1)*(y + 171)/5
Factor 203*k**2 - 16*k - 12.
(7*k - 2)*(29*k + 6)
Find w, given that 3*w**3 - 624*w**2 - 1257*w - 630 = 0.
-1, 210
Solve -4*u**4/3 - 44*u**3/3 + 1972*u**2/3 + 26588*u/3 = 0 for u.
-17, 0, 23
Factor -50*b**3/9 - 1160*b**2/9 + 952*b/9 - 64/3.
-2*(b + 24)*(5*b - 2)**2/9
Solve 4*w**2 + 520*w - 12000 = 0 for w.
-150, 20
Factor 8*p**2/7 - 28*p + 96/7.
4*(p - 24)*(2*p - 1)/7
Factor 2*w**3 - 16*w**2 - 408*w + 864.
2*(w - 18)*(w - 2)*(w + 12)
Determine x so that 3*x**2 + 1422*x + 2832 = 0.
-472, -2
Find h, given that -625*h**3 - 27375*h**2 - 399675*h - 1945085 = 0.
-73/5
Factor 20*d**2 + 88*d + 96.
4*(d + 2)*(5*d + 12)
Factor 4*k**4/5 - 8*k**2/5 + 4/5.
4*(k - 1)**2*(k + 1)**2/5
Let 4*d**3 - 420*d**2 - 852*d - 428 = 0. What is d?
-1, 107
Factor 3*l**3 + 126*l**2 - 3861*l + 23232.
3*(l - 11)**2*(l + 64)
Find l such that 3*l**4/4 + 24*l**3 - 57*l**2/4 - 957*l/2 - 720 = 0.
-32, -3, -2, 5
Suppose 2*u**4/9 - 172*u**3/9 + 166*u**2/3 = 0. Calculate u.
0, 3, 83
Suppose w**2 - 68*w - 140 = 0. What is w?
-2, 70
Determine d, given that -d**2/7 - 4*d/7 + 5/7 = 0.
-5, 1
Find k, given that 5*k**4 + 205*k**3 + 1165*k**2 - 1225*k - 12750 = 0.
-34, -5, 3
Let 702*m**5 - 242*m**4 + 320*m**3/13 - 8*m**2/13 = 0. Calculate m.
0, 1/27, 2/13
Factor 3*y**4 - 444*y**3 + 16425*y**2 + 444*y - 16428.
3*(y - 74)**2*(y - 1)*(y + 1)
Suppose k**5 - 8*k**4 + 9*k**3 + 22*k**2 - 20*k - 24 = 0. Calculate k.
-1, 2, 6
Suppose -4*b**2/3 + 36*b + 232/3 = 0. What is b?
-2, 29
Factor -2*t**3/5 - 408*t**2/5 - 4320*t - 16000.
-2*(t + 4)*(t + 100)**2/5
Solve 4*q**2 - 8*q - 12 = 0.
-1, 3
Factor -5*w**4 - 720*w**3 - 2815*w**2 - 2100*w.
-5*w*(w + 1)*(w + 3)*(w + 140)
Factor -n**2/3 - 20*n - 57.
-(n + 3)*(n + 57)/3
Factor -o**3 + 65*o**2 - 1088*o + 1024.
-(o - 32)**2*(o - 1)
Factor -2*w**3/9 - 38*w**2/9 + 40*w/9.
-2*w*(w - 1)*(w + 20)/9
Find l, given that 2*l**2 - 1528*l + 291848 = 0.
382
Factor -7*v**2/2 + 463*v/6 - 11/3.
-(v - 22)*(21*v - 1)/6
Factor 3*s**3/4 - 1293*s**2/2 + 139965*s - 277350.
3*(s - 430)**2*(s - 2)/4
Factor -p**3 + 24*p**2 + 52*p.
-p*(p - 26)*(p + 2)
Find k such that 4*k**2 + 64*k - 68 = 0.
-17, 1
What is p in 2*p**3/9 + 290*p**2 + 126150*p + 18291750 = 0?
-435
Factor y**2 - 15*y + 50.
(y - 10)*(y - 5)
Determine l, given that 4*l**3 + 3336*l**2 - 6684*l + 3344 = 0.
-836, 1
Determine v, given that 394*v**3 + 7458*v**2/7 - 2440*v/7 + 24/7 = 0.
-3, 2/197, 2/7
Let 12*q**3 + 3*q**2 - 81*q + 54 = 0. What is q?
-3, 3/4, 2
Factor -3*n**4 + 21*n**3 + 15*n**2 - 225*n.
-3*n*(n - 5)**2*(n + 3)
Find u, given that u**2/2 - 310*u - 621/2 = 0.
-1, 621
Determine q so that -2*q**4 - 16*q**3 + 70*q**2 + 588*q = 0.
-7, 0, 6
Factor 2*h**2 - 10*h - 532.
2*(h - 19)*(h + 14)
Find l such that -l**2/7 + 11*l/7 + 6 = 0.
-3, 14
Let d**5 - 2*d**4 - 7*d**3 + 8*d**2 + 12*d = 0. What is d?
-2, -1, 0, 2, 3
Factor -2916*c**2 - 432*c - 16.
-4*(27*c + 2)**2
Determine w so that w**3/6 - 1517*w**2/6 = 0.
0, 1517
Let 2*u**4 + 118*u**3 + 226*u**2 - 118*u - 228 = 0. What is u?
-57, -2, -1, 1
Factor -j**2/5 + 54*j/5 + 112/5.
-(j - 56)*(j + 2)/5
Solve -2*s**2 - 2400*s - 720000 = 0.
-600
Factor 4*l**3/7 - 116*l**2/7 - 516*l/7 - 396/7.
4*(l - 33)*(l + 1)*(l + 3)/7
Factor 2*p**2 + 74*p.
2*p*(p + 37)
Factor -j**5/6 + 22*j**4/3 - 437*j**3/6 - 529*j**2/3.
-j**2*(j - 23)**2*(j + 2)/6
Let 2*f**3/5 - 102*f**2/5 + 1248*f/5 + 1352/5 = 0. What is f?
-1, 26
Find x, given that -3*x**4/5 + 96*x**3/5 - 729*x**2/5 + 312*x - 924/5 = 0.
1, 2, 7, 22
Factor 4*z**2 + 4492*z - 9000.
4*(z - 2)*(z + 1125)
What is f in f**2/5 + 2*f = 0?
-10, 0
Factor f**3 + 3*f**2 - 36*f + 32.
(f - 4)*(f - 1)*(f + 8)
Factor -5*m**2 + 140*m + 300.
-5*(m - 30)*(m + 2)
Factor -x**2 - 38*x - 165.
-(x + 5)*(x + 33)
Factor -k**2 - 4*k + 21.
-(k - 3)*(k + 7)
Suppose -2*i**4 - 40*i**3 - 10*i**2 + 2380*i + 2352 = 0. What is i?
-14, -12, -1, 7
Let -7*b**4/3 - 1976*b**3/3 - 46577*b**2 - 13254*b = 0. What is b?
-141, -2/7, 0
Factor 3*n**4 - 9*n**3 - 162*n**2 - 444*n - 360.
3*(n - 10)*(n + 2)**2*(n + 3)
Find l such that 2*l**3/9 + 34*l**2/9 + 56*l/3 + 24 = 0.
-9, -6, -2
Let 3*q**2 - 3 = 0. What is q?
-1, 1
Factor -5*c**3 + 65*c**2 + 20*c - 260.
-5*(c - 13)*(c - 2)*(c + 2)
Suppose -3*z**2 + 198*z + 201 = 0. What is z?
-1, 67
Suppose 5*o**5 + 515*o**4 + 12470*o**3 - 40550*o**2 + 41605*o - 14045 = 0. Calculate o.
-53, 1
Factor -3*f**3/5 - 1149*f**2 - 2759016*f/5 - 8225424/5.
-3*(f + 3)*(f + 956)**2/5
Suppose 125*w**5 + 550*w**4 - 3295*w**3 + 2620*w**2 + 1460*w + 160 = 0. Calculate w.
-8, -1/5, 2
Factor s**2/8 + s/8 - 9.
(s - 8)*(s + 9)/8
Factor -x**3/5 + 208*x**2/5 + 631*x/5 + 422/5.
-(x - 211)*(x + 1)*(x + 2)/5
Solve 2*r**2/7 - 982*r/7 - 984/7 = 0 for r.
-1, 492
Factor -4*q**3 + 60*q**2 - 108*q + 52.
-4*(q - 13)*(q - 1)**2
Factor 3*a**2/8 + 2547*a/8.
3*a*(a + 849)/8
Factor -2*d**2/13 + 152*d/13 - 2888/13.
-2*(d - 38)**2/13
Factor -5*a**5 - 400*a**4 - 1550*a**3 - 2300*a**2 - 1525*a - 380.
-5*(a + 1)**4*(a + 76)
Solve -i**4/6 - 13*i**3/6 - 7*i**2/2 + 13*i/6 + 11/3 = 0 for i.
-11, -2, -1, 1
Factor 2*l**4 + 6*l**3 - 46*l**2 + 66*l - 28.
2*(l - 2)*(l - 1)**2*(l + 7)
Factor -2*c**3/13 + 6*c**2/13.
-2*c**2*(c - 3)/13
Factor -7*g**4/2 - 15*g**3 + 27*g**2/2 + 5*g.
-g*(g - 1)*(g + 5)*(7*g + 2)/2
Solve a**2/5 + 42*a - 856/5 = 0.
-214, 4
Factor 2*w**5 + 32*w**4 + 92*w**3 - 288*w**2 + 162*w.
2*w*(w - 1)**2*(w + 9)**2
Determine c so that 2*c**5/3 - 6*c**4 + 2*c**3 + 146*c**2/3 + 64*c + 24 = 0.
-1, 6
Let -2*u**3/3 - 7*u**2/6 + 5*u/6 + 1 = 0. What is u?
-2, -3/4, 1
Solve 15*w**5/7 - 19*w**4 - 166*w**3/7 - 40*w**2/7 = 0.
-4/5, -1/3, 0, 10
Factor d**4/4 - 63*d**3/2 + 5893*d**2/4 - 30303*d + 231361.
(d - 37)**2*(d - 26)**2/4
Factor 3*d**5/8 - 327*d**4/8 + 2997*d**3/2 - 18954*d**2 + 17496*d.
3*d*(d - 36)**3*(d - 1)/8
Suppose 2*r**5/9 + 8*r**4/9 - 2*r**3 - 32*r**2/9 + 40*r/9 = 0. Calculate r.
-5, -2, 0, 1, 2
Determine p, given that -13*p**3/3 + 333*p**2 + 736*p + 316/3 = 0.
-2, -2/13, 79
Determine o, given that -o**3/3 - 49*o**2/3 - 208*o - 192 = 0.
-24, -1
Solve -8*l**5 + 124*l**4 - 612*l**3 + 796*l**2 + 940*l - 600 = 0.
-1, 1/2, 5, 6
Factor -2*y**4 - 58*y**3.
-2*y**3*(y + 29)
Factor m**4 + 23*m**3/2 + 14*m**2 - 10*m.
m*(m + 2)*(m + 10)*(2*m - 1)/2
Factor 2*m**2/15 - 592*m/3 + 219040/3.
2*(m - 740)**2/15
Factor 2*m**2 + 112*m/3 + 24.
2*(m + 18)*(3*m + 2)/3
Find j, given that j**4/4 + 19*j**3/2 + 27*j**2 + 53*j/2 + 35/4 = 0.
-35, -1
Factor -2*s**5 - 18*s**4 + 42*s**3 - 22*s**2.
-2*s**2*(s - 1)**2*(s + 11)
Solve l**2/2 + 467*l/2 = 0 for l.
-467, 0
Let 2*z**3 - 34*z**2 + 160*z - 128 = 0. Calculate z.
1, 8
Factor 3481*w**2/3 + 3068*w/3 + 676/3.
(59*w + 26)**2/3
Solve -5*q**2 - 680*q - 23120 = 0 for q.
-68
Determine r, given that -3*r**4 - 2604*r**3 - 580476*r**2 - 6687072*r - 19783872 = 0.
-428, -6
Factor -4*c**4 + 36*c**2 + 16*c - 48.
-4*(c - 3)*(c - 1)*(c + 2)**2
Find c such that 2*c**4 - 68*c**3 + 192*c**2 - 188*c + 62 = 0.
1, 31
Determine z, given that 5488*z**4 + 15288*z**3 - 3444*z**2 + 250*z - 6 = 0.
-3, 1/14
Let -p**2 + 45*p = 0. Calculate p.
0, 45
Find a, given that -3*a**2 - 39*a + 144 = 0.
-16, 3
Suppose z**2/2 - 37*z/2 - 105 = 0. Calculate z.
-5, 42
Determine l, given that -5*l**5 - 77*l**4/5 - 31*l**3/5 + 73*l**2/5 + 56*l/5 + 4/5 = 0.
-2, -1, -2/25, 1
Suppose -3*f**2/2 - 201*f/2 + 315 = 0. What is f?
-70, 3
Solve 2*s**2/11 + 60*s/11 - 62/11 = 0.
-31, 1
Factor 2*v**3/3 - 16*v**2/3 - 10*v + 36.
2*(v - 9)*(v - 2)*(v + 3)/3
Factor -u**2 - 98*u - 97.
-(u + 1)*(u + 97)
Factor -4*u**4 - 60*u**3 - 232*u**2 - 336*u - 160.
-4*(u + 1)*(u + 2)**2*(u + 10)
Factor 2*p**3/9 + 80*p**2/9 - 344*p/9 + 352/9.
2*(p - 2)**2*(p + 44)/9
Factor -3*b**3 - 36*b**2 + 3*b + 36.
-3*(b - 1)*(b + 1)*(b + 12)
Determine o so th