3/11 + 1651692*q**2/11 - 408518488*q/11 + 37890089762/11.
2*(q - 371)**4/11
Find k, given that -3*k**2/7 + 4278*k/7 - 1525107/7 = 0.
713
Determine h, given that -1922*h**3/5 + 10106*h**2/5 - 16896*h/5 + 8712/5 = 0.
1, 66/31
Let n**3 - 240*n**2 - 483*n - 242 = 0. What is n?
-1, 242
Factor -6*g**2/5 + 7197*g/5 - 3597/5.
-3*(g - 1199)*(2*g - 1)/5
Factor -5*y**5 - 20*y**4 + 70*y**2 + 85*y + 30.
-5*(y - 2)*(y + 1)**3*(y + 3)
Factor 2*m**4/13 - 8*m**2/13.
2*m**2*(m - 2)*(m + 2)/13
Factor -2*d**2/5 - 112*d/5 - 1568/5.
-2*(d + 28)**2/5
Factor q**2 + 1206*q + 363609.
(q + 603)**2
Let -3*x**3 + 51*x**2 - 48*x = 0. What is x?
0, 1, 16
Factor 3*l**3 - 381*l**2 + 753*l - 375.
3*(l - 125)*(l - 1)**2
Factor -2*u**3 + 5002*u**2 + 10010*u + 5006.
-2*(u - 2503)*(u + 1)**2
Solve -4*j**4/5 - 96*j**3/5 + 312*j**2/5 - 64*j + 108/5 = 0.
-27, 1
Factor -3*p**5/4 - 99*p**4/2 - 3267*p**3/4.
-3*p**3*(p + 33)**2/4
Factor x**3 + 46*x**2 + 224*x - 7840.
(x - 10)*(x + 28)**2
Factor 3*t**4/7 + 6*t**3/7 - 159*t**2/7 + 270*t/7.
3*t*(t - 5)*(t - 2)*(t + 9)/7
Factor 2*z**2/5 + 16*z - 2088/5.
2*(z - 18)*(z + 58)/5
Factor -4*n**3 + 64*n**2 - 192*n.
-4*n*(n - 12)*(n - 4)
Factor -2*y**5/5 - 18*y**4/5 - 24*y**3/5 + 32*y**2 + 384*y/5.
-2*y*(y - 3)*(y + 4)**3/5
Solve -98*z**3/5 - 42*z**2/5 + 48*z/5 - 8/5 = 0.
-1, 2/7
Let 2*u**5 + 4*u**4 - 2*u**3 - 4*u**2 = 0. What is u?
-2, -1, 0, 1
Factor -8*g**2 - 66*g - 100.
-2*(g + 2)*(4*g + 25)
Solve -147*t**3 + 420*t**2 - 279*t + 54 = 0 for t.
3/7, 2
Factor -l**3/4 + 11*l**2/2 - 147*l/4 + 135/2.
-(l - 10)*(l - 9)*(l - 3)/4
Determine q so that 3*q**2/8 - 15*q/4 + 27/8 = 0.
1, 9
Find x, given that -966*x**3 + 1923*x**2 - 948*x - 9 = 0.
-3/322, 1
Suppose -2*z**2 - 668*z + 670 = 0. Calculate z.
-335, 1
Let 242*h**3/5 - 418*h**2 - 784*h/5 - 72/5 = 0. Calculate h.
-2/11, 9
Solve 2*t**3/5 - 2*t**2/5 - 84*t/5 = 0.
-6, 0, 7
Determine h so that -4*h**2 + 580*h = 0.
0, 145
Factor -3*m**2 + 15*m - 12.
-3*(m - 4)*(m - 1)
Factor -5*z**3 - 13605*z**2 - 12339735*z - 3730713215.
-5*(z + 907)**3
Suppose -4*d**2 + 116*d + 120 = 0. Calculate d.
-1, 30
Factor -5*i**2 - 625*i - 620.
-5*(i + 1)*(i + 124)
Suppose -g**4/3 - 86*g**3/3 - 55*g**2 + 84*g = 0. Calculate g.
-84, -3, 0, 1
Factor i**5 + 108*i**4 + 3316*i**3 + 21600*i**2 + 40000*i.
i*(i + 4)**2*(i + 50)**2
Solve 25*f**5/4 + 45*f**4/4 - 5*f**3/2 - 25*f**2/2 - 15*f/4 + 5/4 = 0 for f.
-1, 1/5, 1
Let 3*u**4 + 3*u**3 - 9*u**2 - 3*u + 6 = 0. What is u?
-2, -1, 1
Determine a so that 3*a**4/11 + 251*a**3/11 + 876*a**2/11 - 320*a/11 = 0.
-80, -4, 0, 1/3
Solve 450*t**4 - 8220*t**3 + 38618*t**2 - 9864*t + 648 = 0.
2/15, 9
Find d, given that -2*d**2 + 126*d - 124 = 0.
1, 62
Suppose -7*d**4 - 117*d**3 + 41*d**2 + 117*d - 34 = 0. Calculate d.
-17, -1, 2/7, 1
Solve 2*h**3/3 - 4*h**2 - 10*h + 200/3 = 0.
-4, 5
Factor -3*n**2 + 105*n - 522.
-3*(n - 29)*(n - 6)
Factor 5*m**3/2 + 7115*m**2/2 + 1270900*m + 3780750.
5*(m + 3)*(m + 710)**2/2
Find u, given that 2*u**2 - 5164*u + 3333362 = 0.
1291
Suppose t**5/3 - 175*t**4/3 + 343*t**3/3 + 523*t**2/3 - 688*t/3 - 692/3 = 0. What is t?
-1, 2, 173
Factor 2*o**3 + 32*o**2 + 102*o + 72.
2*(o + 1)*(o + 3)*(o + 12)
Solve f**2/8 + 15*f/8 - 27/4 = 0 for f.
-18, 3
Factor d**3/6 - d**2/3 + d/6.
d*(d - 1)**2/6
Factor 57*y**5/2 + 69*y**4/2 + 6*y**3.
3*y**3*(y + 1)*(19*y + 4)/2
Factor -a**2/7 - 36*a/7.
-a*(a + 36)/7
Determine t so that -5*t**2 + 2740*t = 0.
0, 548
Factor -q**2/6 - 13*q/6 + 19.
-(q - 6)*(q + 19)/6
Solve -4*c**5/3 + 12*c**4 - 40*c**3 + 184*c**2/3 - 44*c + 12 = 0 for c.
1, 3
Factor 4*s**4 - 8*s**3 - 12*s**2 + 32*s - 16.
4*(s - 2)*(s - 1)**2*(s + 2)
Factor u**4/7 + 93*u**3/7 + 183*u**2/7 + 13*u.
u*(u + 1)**2*(u + 91)/7
Factor -4*y**3 + 12*y**2 + 16*y - 48.
-4*(y - 3)*(y - 2)*(y + 2)
Find y, given that -3*y**4 + 8*y**3 - 6*y**2 + 1 = 0.
-1/3, 1
Factor -55*a**2 + 300*a + 1395.
-5*(a + 3)*(11*a - 93)
Factor 2*n**5 + 5*n**4/2 - 3*n**3 - 4*n**2 + n + 3/2.
(n - 1)*(n + 1)**3*(4*n - 3)/2
Factor 6*c**2/7 - 696*c/7.
6*c*(c - 116)/7
Factor 5*n**3 + 65*n**2 - 420*n + 540.
5*(n - 3)*(n - 2)*(n + 18)
Factor -3*u**3 - 2166*u**2 - 386595*u + 1581228.
-3*(u - 4)*(u + 363)**2
Factor 2*j**4 + 142*j**3 + 3150*j**2 + 16250*j - 125000.
2*(j - 4)*(j + 25)**3
Find a, given that 8*a**5/5 + 94*a**4/15 + 64*a**3/15 - 34*a**2/5 - 88*a/15 + 8/15 = 0.
-2, -1, 1/12, 1
Determine t, given that -t**2/7 + 34*t/7 - 40 = 0.
14, 20
Solve -4*n**4 - 32*n**3 - 60*n**2 + 16*n + 80 = 0 for n.
-5, -2, 1
Determine u, given that 3*u**3 - 21*u**2 - 351*u + 2673 = 0.
-11, 9
What is v in -2*v**3/7 - 24*v**2 + 698*v/7 - 528/7 = 0?
-88, 1, 3
Factor 256*q**2 + 32*q + 1.
(16*q + 1)**2
Factor -f**3/2 + f**2 + 8*f - 16.
-(f - 4)*(f - 2)*(f + 4)/2
Solve 12*x**5 + 16*x**4 - 56*x**3 + 16*x**2 + 12*x = 0 for x.
-3, -1/3, 0, 1
What is t in -2*t**2/9 - 220*t/9 - 6050/9 = 0?
-55
Find d such that -5*d**3 - 365*d**2 - 1060*d - 700 = 0.
-70, -2, -1
Factor 2*p**2 + 4380*p - 4382.
2*(p - 1)*(p + 2191)
Determine v so that -3*v**4/4 - 9*v**3/4 + 27*v**2/4 + 81*v/4 = 0.
-3, 0, 3
Factor -3*i**2/5 + 573*i/5.
-3*i*(i - 191)/5
Factor -m**2 + 80*m - 156.
-(m - 78)*(m - 2)
Let 15*q**5 + 58*q**4 + 52*q**3 - 8*q**2 = 0. What is q?
-2, 0, 2/15
Factor -s**3/2 + 23*s**2/6 - 8*s + 14/3.
-(s - 2)*(s - 1)*(3*s - 14)/6
Find p such that 2*p**3 + 100*p**2 + 186*p - 288 = 0.
-48, -3, 1
Find n such that -n**4/2 + 19*n**3/2 - 105*n**2/2 + 197*n/2 - 55 = 0.
1, 2, 5, 11
Factor 4*b**2 - 9696*b + 5875776.
4*(b - 1212)**2
Find i, given that 5*i**2 - 315*i + 310 = 0.
1, 62
Solve -p**5/5 - 3*p**4/5 - 2*p**3/5 = 0 for p.
-2, -1, 0
Factor b**2 + 66*b - 136.
(b - 2)*(b + 68)
Solve -75*m**3/4 - 465*m**2/2 + 408*m - 168 = 0.
-14, 4/5
Factor l**5/5 - l**4/5 - 3*l**3 - 23*l**2/5 - 2*l.
l*(l - 5)*(l + 1)**2*(l + 2)/5
Factor -2*o**3/7 + 206*o**2/7 - 4510*o/7 - 6050.
-2*(o - 55)**2*(o + 7)/7
Factor 5*c**4 + 60*c**3 - 20*c**2 - 240*c.
5*c*(c - 2)*(c + 2)*(c + 12)
Let -2*p**5/5 - 18*p**4/5 - 54*p**3/5 - 62*p**2/5 - 24*p/5 = 0. Calculate p.
-4, -3, -1, 0
Solve -3*w**3 - 12933*w**2 - 18584721*w - 8902081359 = 0.
-1437
Solve r**3/2 + r**2 - 7*r/2 + 2 = 0.
-4, 1
Solve 3*v**3 - 15*v**2 - 18*v = 0.
-1, 0, 6
Factor -3*w**3 + 624*w**2 + 2532*w + 2544.
-3*(w - 212)*(w + 2)**2
Let -3*u**5 + 66*u**4 - 285*u**3 - 930*u**2 + 288*u + 864 = 0. Calculate u.
-2, -1, 1, 12
Factor 3*a**3 + 12*a**2 + 15*a + 6.
3*(a + 1)**2*(a + 2)
Factor 2*d**4 - 112*d**3 + 1676*d**2 - 3024*d + 1458.
2*(d - 27)**2*(d - 1)**2
Solve -2*h**3/11 + 34*h**2/11 - 12*h = 0.
0, 6, 11
Find x such that 6*x**4/5 + 1412*x**3/5 - 2366*x**2/5 + 948*x/5 = 0.
-237, 0, 2/3, 1
Find v such that 3*v**3/7 + 12*v**2/7 - 33*v/7 - 90/7 = 0.
-5, -2, 3
Suppose -30*z**2 - 1135*z + 190 = 0. Calculate z.
-38, 1/6
Find z such that 2*z**3/3 - 32*z**2/9 + 46*z/9 - 4/3 = 0.
1/3, 2, 3
Solve g**2 + 288*g + 20736 = 0 for g.
-144
Factor 4*d**3/9 + 8*d**2/3 - 128*d/3 + 896/9.
4*(d - 4)**2*(d + 14)/9
Factor -4*r**3 + 9696*r**2 - 7834368*r + 2110056448.
-4*(r - 808)**3
Factor 3*r**3 - 84*r**2 - 372*r - 384.
3*(r - 32)*(r + 2)**2
Solve -60*k**3 + 909*k**2 - 129*k - 90 = 0.
-1/4, 2/5, 15
Factor -a**2/4 + 273*a/4.
-a*(a - 273)/4
Factor 4*t**2 + 21848*t + 29833444.
4*(t + 2731)**2
Determine d, given that -2*d**3/13 + 10590*d**2/13 + 2*d/13 - 10590/13 = 0.
-1, 1, 5295
Factor 3*s**3/8 - 3*s**2/2 - 33*s/8 - 9/4.
3*(s - 6)*(s + 1)**2/8
Factor -3*w**2 - 105*w + 342.
-3*(w - 3)*(w + 38)
Factor 2*d**3/9 - 14*d**2/9 - 20*d/9 + 32/9.
2*(d - 8)*(d - 1)*(d + 2)/9
Suppose 3*i**2 + 14352*i - 14355 = 0. What is i?
-4785, 1
Suppose -3*n**3/4 - 345*n**2/4 + 354*n - 357 = 0. What is n?
-119, 2
Let 6*w**5/7 - 68*w**4/7 - 1832*w**3/7 - 5868*w**2/7 + 10562*w/7 - 400 = 0. Calculate w.
-8, -7, 1/3, 1, 25
Determine p, given that -21*p**4/5 + 2262*p**3/5 + 1545*p**2 - 7302*p/5 - 2664/5 = 0.
-4, -2/7, 1, 111
What is o in -3*o**3/2 + 7263*o**2/2 - 5861241*o/2 + 1576673829/2 = 0?
807
Let -3*b**3 - 24*b**2 - 57*b - 36 = 0. Calculate b.
-4, -3, -1
Let j**4 - 61*j**3 - 189*j**2 - 191*j - 64 = 0. Calculate j.
-1, 64
Factor 2*v**3/5 - 88*v**2/5 + 968*v/5.
2*v*(v - 22)**2/5
Factor 5*j**2 + 65*j + 60.
5*(j + 1)*(j + 12)
Find f, given that -38*f**3/5 - 118*f**2/5 - 12*f/5 = 0.
-3, -2/19, 0
Factor 27*d**3 + 2799*d**2 - 26565*d/4 + 7791/2.
3*(d + 106)*(6*d - 7)**2/4
What is x in -6*x**3/7 - 15*x**2/7 + 156*