
Let 4*d**2 + 14168*d + 12545764 = 0. Calculate d.
-1771
Suppose -6*n**4/11 - 1124*n**3/11 - 1486*n**2/11 + 376*n/11 + 744/11 = 0. What is n?
-186, -1, 2/3
Factor -y**2/3 + 43*y + 132.
-(y - 132)*(y + 3)/3
Factor u**4 + u**3 - 16*u**2 + 20*u.
u*(u - 2)**2*(u + 5)
Factor -50*c**4/9 + 190*c**3/3 - 74*c**2/3 + 22*c/9.
-2*c*(c - 11)*(5*c - 1)**2/9
Factor -p**2/2 + 32*p - 63/2.
-(p - 63)*(p - 1)/2
Let -3*v**5 + 84*v**4 - 660*v**3 + 930*v**2 + 663*v - 1014 = 0. Calculate v.
-1, 1, 2, 13
Determine a so that a**3/7 - 29*a**2/7 + 195*a/7 + 225/7 = 0.
-1, 15
Factor -4*k**2 - 2928*k - 11648.
-4*(k + 4)*(k + 728)
Let 2*s**5 + 62*s**4 + 444*s**3 - 640*s**2 - 1024*s = 0. Calculate s.
-16, -1, 0, 2
Suppose -j**4/3 - 9*j**3 + j**2 + 83*j/3 + 18 = 0. What is j?
-27, -1, 2
Determine t, given that 3*t**5 + 139*t**4/4 + 145*t**3/4 - 108*t**2 + 45*t = 0.
-10, -3, 0, 2/3, 3/4
Factor -u**5 + 9*u**4 - 31*u**3 + 51*u**2 - 40*u + 12.
-(u - 3)*(u - 2)**2*(u - 1)**2
Factor f**4/6 - 137*f**3/3 - f**2/2 + 412*f/3 - 274/3.
(f - 274)*(f - 1)**2*(f + 2)/6
Find v such that -2*v**4/19 + 10*v**3/19 - 12*v**2/19 = 0.
0, 2, 3
Factor 3*m**2/4 - 15*m/4 + 3.
3*(m - 4)*(m - 1)/4
Factor -x**2 + 1114*x - 1113.
-(x - 1113)*(x - 1)
Suppose 24*z**4 + 28*z**3 - 52*z**2 - 16*z + 16 = 0. Calculate z.
-2, -2/3, 1/2, 1
Factor -5*y**3 - 2655*y**2 - 469935*y - 27726165.
-5*(y + 177)**3
Suppose -2*j**4 - 12*j**3 + 392*j**2 - 720*j = 0. Calculate j.
-18, 0, 2, 10
Factor -34*i**5/5 - 3*i**4 + i**3/5.
-i**3*(2*i + 1)*(17*i - 1)/5
Suppose 2*m**4 + 22*m**3 - 78*m**2 + 82*m - 28 = 0. Calculate m.
-14, 1
Let 40*s**5 - 4*s**4 - 148*s**3 + 64*s**2 + 48*s = 0. Calculate s.
-2, -2/5, 0, 1, 3/2
Factor 3*c**3/5 + 60*c**2 + 555*c + 1350.
3*(c + 5)**2*(c + 90)/5
Let 3*s**5 - 987*s**4 + 104778*s**3 - 3188634*s**2 - 42252621*s - 38958219 = 0. What is s?
-9, -1, 113
Determine m, given that -24*m**5/7 - 3502*m**4/7 - 3170*m**3/7 + 2922*m**2/7 + 3194*m/7 + 580/7 = 0.
-145, -1, -2/3, -1/4, 1
Let -i**5 - 17*i**4 - 41*i**3 + 17*i**2 + 42*i = 0. What is i?
-14, -3, -1, 0, 1
Factor m**3/2 - 7285*m**2/2 + 13264163*m/2 + 13271449/2.
(m - 3643)**2*(m + 1)/2
Solve -c**5/4 - c**4 - c**3 + c**2/2 + 5*c/4 + 1/2 = 0.
-2, -1, 1
Find z, given that -5*z**4/6 + 729*z**3/2 - 437*z**2/3 = 0.
0, 2/5, 437
Determine n, given that n**5/6 - 3*n**4 + 107*n**3/6 - 33*n**2 - 18*n + 36 = 0.
-1, 1, 6
Factor -2*w**2/9 - 248*w/9 - 7688/9.
-2*(w + 62)**2/9
Factor -2*o**4 + 57*o**3/2 - 103*o**2 + 24*o.
-o*(o - 8)*(o - 6)*(4*o - 1)/2
Determine g so that 2*g**4 - 200*g**3 + 3656*g**2 + 67200*g + 225792 = 0.
-6, 56
Find y such that 140*y**4 + 296*y**3 - 2768*y**2 + 3040*y + 384 = 0.
-6, -4/35, 2
Determine h so that -h**3/5 - h**2/5 + h/5 + 1/5 = 0.
-1, 1
Determine t, given that -2*t**4 + 68*t**3 + 296*t**2 + 304*t = 0.
-2, 0, 38
Let -39*u**4 - 84*u**3 + 27*u**2 + 84*u + 12 = 0. Calculate u.
-2, -1, -2/13, 1
Suppose -4*w**3 - 68*w**2 - 284*w - 220 = 0. Calculate w.
-11, -5, -1
Solve 2*f**3/3 - 12*f**2 - 122*f + 400/3 = 0.
-8, 1, 25
Suppose 4*w**3 - 1780*w**2 - 1784*w = 0. What is w?
-1, 0, 446
Factor 2*v**4/13 + 46*v**3/13.
2*v**3*(v + 23)/13
Suppose -4*s**5/3 - 28*s**4/3 - 8*s**3 = 0. Calculate s.
-6, -1, 0
What is z in 57963*z**3 + 117594*z**2 + 3348*z + 24 = 0?
-2, -2/139
Factor -2*a**3 - 2*a**2 + 34*a - 30.
-2*(a - 3)*(a - 1)*(a + 5)
What is o in -2*o**4/9 + 32*o**3/9 + 44*o**2/9 - 176*o/9 + 34/3 = 0?
-3, 1, 17
Factor -3*z**2 + 78*z + 1521.
-3*(z - 39)*(z + 13)
Factor 4*h**3 - 1028*h**2 + 65532*h + 66564.
4*(h - 129)**2*(h + 1)
Factor b**4/5 + 6*b**3 + 153*b**2/5 + 44*b + 96/5.
(b + 1)**2*(b + 4)*(b + 24)/5
Factor -2*r**2 + 334*r.
-2*r*(r - 167)
Let 3*k**2 + 18*k + 24 = 0. What is k?
-4, -2
Solve -2*q**4 + 76*q**3 - 1002*q**2 + 5320*q - 9800 = 0 for q.
5, 14
Factor g**4/5 - 12*g**3/5 + 10*g**2 - 84*g/5 + 9.
(g - 5)*(g - 3)**2*(g - 1)/5
Factor 4*d**5 + 28*d**4 + 24*d**3.
4*d**3*(d + 1)*(d + 6)
Suppose 2*x**4 + 130*x**3/7 - 636*x**2/7 - 6464*x/7 - 256 = 0. Calculate x.
-8, -2/7, 7
Determine p so that -2*p**5 + 10*p**4 - 14*p**3 + 6*p**2 = 0.
0, 1, 3
Find q such that 2*q**3 - 2*q = 0.
-1, 0, 1
Let 121*p**5 - 649*p**4 + 466*p**3 + 860*p**2 - 344*p + 32 = 0. What is p?
-1, 2/11, 2, 4
Factor 2*c**2/3 + 551*c/3 + 275/3.
(c + 275)*(2*c + 1)/3
Solve 5*y**3 + 810*y**2 + 43740*y + 787320 = 0.
-54
Factor i**4/9 - i**3/9 - 7*i**2/3 + 41*i/9 - 20/9.
(i - 4)*(i - 1)**2*(i + 5)/9
Factor -s**4/10 + 7*s**3/10 - 4*s**2/5 - 8*s/5.
-s*(s - 4)**2*(s + 1)/10
Let 27*s**3 + 26292*s**2 + 6397719*s - 1423014 = 0. Calculate s.
-487, 2/9
Factor i**4 - 22*i**2 + 24*i + 45.
(i - 3)**2*(i + 1)*(i + 5)
What is k in 2*k**5/3 + 40*k**4/3 - 86*k**3/3 + 44*k**2/3 = 0?
-22, 0, 1
Factor 2*p**3/9 - 46*p**2/3 + 222*p - 918.
2*(p - 51)*(p - 9)**2/9
Factor 3*m**5 + 18*m**4 - 3*m**3 - 18*m**2.
3*m**2*(m - 1)*(m + 1)*(m + 6)
What is b in b**2 + 4*b - 21 = 0?
-7, 3
Factor -3*k**5 + 9*k**4 + 30*k**3 - 156*k**2 + 216*k - 96.
-3*(k - 2)**3*(k - 1)*(k + 4)
Determine h so that h**3/3 - 6814*h**2/3 + 11607649*h/3 = 0.
0, 3407
Find o, given that 3*o**5/7 + 87*o**4/7 + 582*o**3/7 - 762*o**2/7 - 585*o/7 + 675/7 = 0.
-15, -1, 1
Factor -5*w**2 + 70*w.
-5*w*(w - 14)
Factor 4*s**3 - 68*s**2 + 252*s + 324.
4*(s - 9)**2*(s + 1)
Determine o, given that 3*o**3 - 1812*o**2/7 + 39345*o/7 - 11094/7 = 0.
2/7, 43
Find q such that q**2/7 - 70*q + 8575 = 0.
245
Let 5*a**4/2 - 15*a**3 - 85*a**2/2 + 15*a + 40 = 0. What is a?
-2, -1, 1, 8
Find g such that 3*g**3/7 + 12*g**2/7 + 15*g/7 + 6/7 = 0.
-2, -1
Solve 5*y**2 + 40*y + 35 = 0 for y.
-7, -1
Let -2*o**3/15 + 2*o**2/15 + 2*o/3 + 2/5 = 0. What is o?
-1, 3
Factor 3*v**5/7 - 6*v**3/7 + 3*v/7.
3*v*(v - 1)**2*(v + 1)**2/7
Find d, given that -d**5 - 2*d**4 + 10*d**3 + 8*d**2 - 33*d + 18 = 0.
-3, 1, 2
Factor -2*r**2/9 + 194*r/9 + 44.
-2*(r - 99)*(r + 2)/9
Factor c**4 + 67*c**3 + 98*c**2 - 2176*c - 6240.
(c - 6)*(c + 4)**2*(c + 65)
Factor 2*o**3/9 - 50*o**2/3 + 62*o + 710/9.
2*(o - 71)*(o - 5)*(o + 1)/9
Determine q, given that 2*q**2 - 164*q + 474 = 0.
3, 79
Find p such that p**4 + 19*p**3 + 105*p**2 + 197*p + 110 = 0.
-11, -5, -2, -1
Factor -6*k**2/7 - 96*k/7 - 90/7.
-6*(k + 1)*(k + 15)/7
Determine p so that -26*p**3 - 262*p**2 + 604*p + 48 = 0.
-12, -1/13, 2
Factor -2*h**2/11 + 182*h/11 + 184/11.
-2*(h - 92)*(h + 1)/11
Factor -p**2/4 + 1137*p/2 - 1292769/4.
-(p - 1137)**2/4
Find v such that 2*v**4/9 - 14*v**3/9 + 32*v**2/9 - 8*v/3 = 0.
0, 2, 3
Solve -2*l**2/17 + 4*l/17 + 286/17 = 0 for l.
-11, 13
Find g such that 6*g**5 + 3*g**4 - 258*g**3 - 381*g**2 - 126*g = 0.
-6, -1, -1/2, 0, 7
What is x in -729*x**2 - 3510*x - 4225 = 0?
-65/27
Factor o**4/5 - 2*o**3 + 17*o**2/5 - 8*o/5.
o*(o - 8)*(o - 1)**2/5
Solve -j**3/3 - 100*j**2/3 - 33*j = 0.
-99, -1, 0
Determine g so that -g**3/6 - 3*g**2/2 - 23*g/6 - 5/2 = 0.
-5, -3, -1
Factor s**3/2 - 12*s**2 - 54*s + 1944.
(s - 18)**2*(s + 12)/2
Factor 2*b**4 + 128*b**3 + 1916*b**2 - 4224*b + 2178.
2*(b - 1)**2*(b + 33)**2
Let -10*c**4/3 + 34*c**3/3 - 2*c**2/3 - 34*c/3 + 4 = 0. What is c?
-1, 2/5, 1, 3
Factor 2*y**2 - 24*y + 54.
2*(y - 9)*(y - 3)
Let -5*y**2 - 445*y + 450 = 0. What is y?
-90, 1
Factor 3*h**2 - 27*h - 858.
3*(h - 22)*(h + 13)
Suppose -j**2 - 644*j - 103684 = 0. Calculate j.
-322
Factor 5*d**4 - 205*d**3 - 215*d**2 + 205*d + 210.
5*(d - 42)*(d - 1)*(d + 1)**2
Factor k**2/8 + 633*k/4 + 400689/8.
(k + 633)**2/8
Find u, given that -3*u**2 + 9*u + 54 = 0.
-3, 6
Find q such that -4*q**3 + 10668*q**2 - 7118220*q + 7107556 = 0.
1, 1333
Find j, given that -j**5/2 - j**4/2 + 11*j**3 + 8*j**2 - 48*j = 0.
-4, -3, 0, 2, 4
Suppose -48*w**3/7 - 183*w**2/7 - 156*w/7 + 36/7 = 0. What is w?
-2, 3/16
Solve -2*r**4/5 - 24*r**3/5 - 86*r**2/5 - 24*r - 56/5 = 0 for r.
-7, -2, -1
Determine w, given that -3*w**2/5 - 27*w + 138/5 = 0.
-46, 1
Let 71616*l**3 - 35680*l**2 + 4412*l + 8 = 0. What is l?
-2/1119, 1/4
Solve -g**4/4 + 2*g**3 + 3*g**2/4 - 13*g/2 + 4 = 0.
-2, 1, 8
Let -q**2 - 49*q - 444 = 0. Calculate q.
-37, -12
Factor 100*u**3 + 5180*u**2 + 4096*u + 816.
4*(u + 51)*(5*u + 2)**2
Factor 2*t**4/3 - 8*t**3 + 8*t**2/3 + 128*t + 512/3.
2*(t - 8)**2*(t + 2)**2/3
Suppose 3*h**3/8 - 45*h**2/8 + 27*h - 81/2 = 0. Calculate h.
3, 6
Determine z, given that 7730312*z**2 - 7864*z + 2 = 0.
1/1966
Let 3*o**3/2 + 21*o**2/2 + 24*o + 18 = 0. Calculate o.
-3, -2