s**2 - 1581*s + 15895 = 0.
-55, -1, 1, 17
Solve 2*j**3/3 - 44*j**2/3 - 200*j/3 - 208/3 = 0.
-2, 26
Find r, given that 4*r**2/5 - 4*r/5 - 168/5 = 0.
-6, 7
Solve 5*x**2 - 10*x - 40 = 0 for x.
-2, 4
Let -5*o**2 - 2130*o - 4240 = 0. What is o?
-424, -2
Suppose -2*s**5/11 + 2*s**4 - 86*s**3/11 + 146*s**2/11 - 112*s/11 + 32/11 = 0. What is s?
1, 4
Factor -q**2/2 - 75*q/2 + 200.
-(q - 5)*(q + 80)/2
Let -f**2/6 + 5*f/6 - 2/3 = 0. Calculate f.
1, 4
Suppose 3*k**4/2 + 39*k**3 = 0. What is k?
-26, 0
Determine d, given that 14*d**4/9 + 356*d**3/9 + 54*d**2 + 16*d = 0.
-24, -1, -3/7, 0
Factor b**5/6 - 25*b**4 + 3673*b**3/3 - 18258*b**2 - 127449*b/2 - 44217.
(b - 51)**3*(b + 1)*(b + 2)/6
Determine y so that -2*y**3/3 - 34*y**2 - 376*y/3 = 0.
-47, -4, 0
Solve -4*z**5/5 + 74*z**4/5 + 18*z**3 - 46*z**2 - 86*z/5 + 156/5 = 0 for z.
-2, -1, 1, 39/2
Factor s**4/5 + 9*s**3/5 + 28*s**2/5 + 36*s/5 + 16/5.
(s + 1)*(s + 2)**2*(s + 4)/5
Factor -o**4/3 - 16*o**3/3 - 32*o**2 - 256*o/3 - 256/3.
-(o + 4)**4/3
Let -42*d**3/11 + 324*d**2/11 - 408*d/11 - 144/11 = 0. Calculate d.
-2/7, 2, 6
Factor m**3/4 - m**2 + m.
m*(m - 2)**2/4
Let 2*u**3/11 - 36*u**2/11 + 58*u/11 + 96/11 = 0. What is u?
-1, 3, 16
Determine y so that 10*y**4/7 - 4*y**3/7 - 310*y**2/7 - 176*y/7 + 120/7 = 0.
-5, -1, 2/5, 6
Factor -2*v**3/3 - 184*v**2/3 + 1190*v/3 + 1372/3.
-2*(v - 7)*(v + 1)*(v + 98)/3
Factor -w**2/4 - 50*w - 2500.
-(w + 100)**2/4
Factor -4*g**2/5 - 152*g/5 + 156/5.
-4*(g - 1)*(g + 39)/5
Find s, given that -4*s**5 - 52*s**4 + 132*s**3 + 3348*s**2 + 7776*s = 0.
-9, -3, 0, 8
Find v, given that 486*v**5/5 - 27*v**4 - 1857*v**3/5 - 474*v**2/5 + 276*v + 120 = 0.
-10/9, -1/2, 1, 2
Factor 4*p**5 - 4*p**4 - 8*p**3 + 8*p**2 + 4*p - 4.
4*(p - 1)**3*(p + 1)**2
Suppose -12*o**4 - 76*o**3 - 156*o**2 - 116*o - 24 = 0. Calculate o.
-3, -2, -1, -1/3
Factor -g**4 - 48*g**3 - 93*g**2 - 46*g.
-g*(g + 1)**2*(g + 46)
Solve -4*a**5/9 + 112*a**4/9 - 296*a**3/9 - 112*a**2/9 + 100*a/3 = 0 for a.
-1, 0, 1, 3, 25
Factor 2*h**2/5 + 2*h/5 - 12/5.
2*(h - 2)*(h + 3)/5
Suppose -n**5/2 + 15*n**4/2 - 49*n**3/2 + 57*n**2/2 - 11*n = 0. Calculate n.
0, 1, 2, 11
Find q such that -q**3/2 + 15*q**2 - 41*q/2 - 210 = 0.
-3, 5, 28
Factor x**2/8 + 13*x/8 - 7/4.
(x - 1)*(x + 14)/8
Solve -2*z**2/5 + 2108*z/5 + 4224/5 = 0.
-2, 1056
Find n, given that n**4 - 11*n**3 + 39*n**2 - 49*n + 20 = 0.
1, 4, 5
Factor -2*o**3/11 + 18*o**2/11 + 152*o/11 - 168/11.
-2*(o - 14)*(o - 1)*(o + 6)/11
Find g, given that -g**3 - 38*g**2 - 73*g - 36 = 0.
-36, -1
Suppose -2*f**5 - 30*f**4 - 74*f**3 - 18*f**2 + 76*f + 48 = 0. Calculate f.
-12, -2, -1, 1
Factor -10*m**2 + 36*m - 32.
-2*(m - 2)*(5*m - 8)
Find j, given that -58*j**3/5 - 23*j**2 - 56*j/5 + 1/5 = 0.
-1, 1/58
Factor -3*p**3 - 1029*p**2.
-3*p**2*(p + 343)
Factor -h**2 + 91*h/5 - 18/5.
-(h - 18)*(5*h - 1)/5
Factor 4*y**2/5 - 388*y/5 + 1128/5.
4*(y - 94)*(y - 3)/5
Factor r**2/2 - 4*r + 15/2.
(r - 5)*(r - 3)/2
Find y, given that -y**5 + 13*y**4/4 - y**3 - 3*y**2 = 0.
-3/4, 0, 2
Factor 4*a**3 - 28*a**2 + 60*a - 36.
4*(a - 3)**2*(a - 1)
Find z such that 4*z**3/7 + 32*z**2/7 + 52*z/7 + 24/7 = 0.
-6, -1
Factor 5*k**3 + 105*k**2 - 1470*k + 2480.
5*(k - 8)*(k - 2)*(k + 31)
Find j such that -2*j**2/5 - 2858*j/5 + 8592/5 = 0.
-1432, 3
Factor 4*u**5 + 56*u**4 + 52*u**3.
4*u**3*(u + 1)*(u + 13)
Factor d**4 - 24*d**3 + 117*d**2 - 166*d + 72.
(d - 18)*(d - 4)*(d - 1)**2
Determine y so that -4*y**3 + 28*y**2 + 4*y - 28 = 0.
-1, 1, 7
Factor -2*m**3/13 - 16*m**2/13 + 8*m/13 + 64/13.
-2*(m - 2)*(m + 2)*(m + 8)/13
Suppose -2*x**5 - 52*x**4/5 + 4*x**3 + 176*x**2/5 + 134*x/5 + 4 = 0. What is x?
-5, -1, -1/5, 2
What is i in i**3 - 5*i**2 - 44*i - 60 = 0?
-3, -2, 10
What is y in -3*y**2/5 - 534*y - 118815 = 0?
-445
Let 2*u**2 - 326*u - 328 = 0. Calculate u.
-1, 164
Determine g so that g**2/8 + 11*g/4 + 12 = 0.
-16, -6
Solve -2*z**4/3 + 6*z**3 + 68*z**2/3 + 16*z = 0.
-2, -1, 0, 12
Factor -3*w**2/5 - 18*w/5 - 24/5.
-3*(w + 2)*(w + 4)/5
Factor -4*p**3/9 - 14*p**2/9 - 10*p/9.
-2*p*(p + 1)*(2*p + 5)/9
Factor 6*q**3/7 - 22*q**2/7 - 12*q/7 + 16/7.
2*(q - 4)*(q + 1)*(3*q - 2)/7
Factor g**3/4 - 9*g**2/4 + 5*g - 3.
(g - 6)*(g - 2)*(g - 1)/4
Factor -2*m**4 - 7*m**3 - 3*m**2.
-m**2*(m + 3)*(2*m + 1)
Factor 2*c**2/15 + 142*c/15 + 28/3.
2*(c + 1)*(c + 70)/15
Factor 5*c**3 - 15*c + 10.
5*(c - 1)**2*(c + 2)
Factor 5*p**2/2 - 14*p - 6.
(p - 6)*(5*p + 2)/2
Factor -2*i**3 + 64*i**2 + 1798*i - 57660.
-2*(i - 31)**2*(i + 30)
Factor -2*z**3/13 + 48*z**2/13 - 330*z/13 + 484/13.
-2*(z - 11)**2*(z - 2)/13
Factor 2*m**3/11 + 172*m**2/11 - 1088*m/11 + 1472/11.
2*(m - 4)*(m - 2)*(m + 92)/11
Factor 2*q**5/9 + 4*q**4/9 - 2*q**3/3 - 8*q**2/9 + 8*q/9.
2*q*(q - 1)**2*(q + 2)**2/9
Factor x**2/5 + 576*x/5 + 82944/5.
(x + 288)**2/5
Factor 3*g**5 + 126*g**4 + 1191*g**3 - 2772*g**2 + 1452*g.
3*g*(g - 1)**2*(g + 22)**2
Factor -3*g**2 - 414*g + 840.
-3*(g - 2)*(g + 140)
Let 4*t**2 - 420*t + 4136 = 0. What is t?
11, 94
Determine c, given that 224*c**5/3 + 428*c**4/3 + 265*c**3/3 + 67*c**2/3 + 2*c = 0.
-1, -3/8, -2/7, -1/4, 0
Factor -z**4/3 + 22*z**3 + 68*z**2/3 - 22*z - 67/3.
-(z - 67)*(z - 1)*(z + 1)**2/3
What is m in -3*m**5 + 789*m**4 - 52263*m**3 + 49911*m**2 + 102966*m = 0?
-1, 0, 2, 131
Factor -2*w**4 + 30*w**3 - 88*w**2.
-2*w**2*(w - 11)*(w - 4)
Factor -z**2/3 + 19*z/3 + 40.
-(z - 24)*(z + 5)/3
Solve -12*x**5 - 840*x**4 - 14691*x**3 + 627*x**2 + 10815*x - 3675 = 0.
-35, -1, 1/2
Factor -5*m**2 + 4790*m - 1147205.
-5*(m - 479)**2
Let -z**4/9 - 224*z**3/9 + 152*z**2 - 2752*z/9 + 1840/9 = 0. What is z?
-230, 2
Factor -2*w**2 + 1040*w - 135200.
-2*(w - 260)**2
Suppose 2*o**5 + o**4 - 6*o**3 - 7*o**2 - 2*o = 0. What is o?
-1, -1/2, 0, 2
Factor -3*q**2/4 - 300*q.
-3*q*(q + 400)/4
Factor v**4/6 + 829*v**3/6 + 825*v**2 + 4942*v/3 + 3292/3.
(v + 2)**3*(v + 823)/6
Factor 2*q**2/15 + 422*q/15.
2*q*(q + 211)/15
Let -21*t**4 + 33*t**3 + 102*t**2 - 132*t - 72 = 0. What is t?
-2, -3/7, 2
Factor -h**2/9 + 15638*h/9 - 61136761/9.
-(h - 7819)**2/9
What is h in -h**2 - 13*h + 338 = 0?
-26, 13
Factor -3*m**3 - 24*m**2 + 159*m + 180.
-3*(m - 5)*(m + 1)*(m + 12)
Solve -14*t**5 + 88*t**4 - 419*t**3/2 + 463*t**2/2 - 114*t + 18 = 0.
2/7, 1, 3/2, 2
Factor -5*j**3 - 15*j**2 + 170*j - 240.
-5*(j - 3)*(j - 2)*(j + 8)
Factor -4*o**4 + 20*o**3 - 28*o**2 + 12*o.
-4*o*(o - 3)*(o - 1)**2
Factor 2*w**2/11 + 80*w/11 + 800/11.
2*(w + 20)**2/11
Factor -5*w**2 - 25*w + 2730.
-5*(w - 21)*(w + 26)
Factor 2*r**4 + 50*r**3 + 236*r**2 - 288*r.
2*r*(r - 1)*(r + 8)*(r + 18)
What is o in -2*o**2 + 636*o - 50562 = 0?
159
Suppose t**3 + 229*t**2/11 - 548*t/11 + 92/11 = 0. Calculate t.
-23, 2/11, 2
Suppose -t**3/6 - 85*t**2/6 - 1763*t/6 + 1849/6 = 0. Calculate t.
-43, 1
Let -2*u**4 + 2*u**3 + 12*u**2 - 8*u - 16 = 0. Calculate u.
-2, -1, 2
Determine p, given that -4*p**2 + 20*p - 16 = 0.
1, 4
Factor p**3 - 19*p**2 - 41*p - 21.
(p - 21)*(p + 1)**2
Factor -12*g**3/7 + 9*g**2/7 + 972*g/7 - 729/7.
-3*(g - 9)*(g + 9)*(4*g - 3)/7
Factor 3*f**2/7 - 12*f - 1140/7.
3*(f - 38)*(f + 10)/7
Solve -m**5 + 11*m**4 - 15*m**3 - 67*m**2 - 40*m = 0 for m.
-1, 0, 5, 8
Suppose 4*k**3/9 + 8*k**2/9 - 20*k/9 - 8/3 = 0. What is k?
-3, -1, 2
Determine p, given that -p**2/5 - 36*p/5 + 37/5 = 0.
-37, 1
Factor l**5/3 + 2*l**4/3 - l**3 - 4*l**2/3 + 4*l/3.
l*(l - 1)**2*(l + 2)**2/3
Find a, given that 4*a**3 - 64*a**2 - 556*a + 616 = 0.
-7, 1, 22
What is j in -8*j**4 - 10*j**3 - 2*j**2 = 0?
-1, -1/4, 0
Find g such that 3*g**2 + 288*g - 588 = 0.
-98, 2
Determine k so that 2*k**2/15 + 8*k - 122/15 = 0.
-61, 1
Find z, given that z**5/2 + 78*z**4 - 79*z**3 - 78*z**2 + 157*z/2 = 0.
-157, -1, 0, 1
Factor -2*o**5/9 + 2*o**4/3 - 2*o**3/3 + 2*o**2/9.
-2*o**2*(o - 1)**3/9
Factor -4*o**3 + 124*o**2 - 120*o.
-4*o*(o - 30)*(o - 1)
Factor 5*f**4/2 + 10*f**3 - 15*f**2/2 - 25*f + 20.
5*(f - 1)**2*(f + 2)*(f + 4)/2
Solve -12*m**5 - 22*m**4 + 88*m**3 - 62*m**2 + 8*m = 0.
-4, 0, 1/6, 1
Factor x**4 - 7*x**3 + 13*x**2 + 3*x - 18.
(x - 3)**2*(x - 2)*(x + 1)
Factor 2*i**2 - 162*i - 504.
2*(i - 84)*(i + 3)
Find z, given that 2*z**5 + 34*z**4 + 120*z**3 - 40*z**2 - 512*z - 384 = 0.
-12, -4, -2, -1, 2
Let -u**3/4 - 35*u**2/4 - 32*u - 31 = 0. What is u?
-31, -2
Factor 27*p**3 - 69*p**2 + 42*p.
3*p*(p - 1)*(9*p - 14)
Determine g so that -2*g**4/13 + 16*g**3/13 - 18*