040*i + 10075.
-(i - 403)*(i - 10)**2/4
Let 3*o**4 + 3*o**3 - 9*o**2 - 3*o + 6 = 0. Calculate o.
-2, -1, 1
Let -35*p**3/6 - 655*p**2/6 - 955*p/3 + 100 = 0. Calculate p.
-15, -4, 2/7
Factor -2*a**4 - 64*a**3 + 530*a**2 - 656*a - 1248.
-2*(a - 4)**2*(a + 1)*(a + 39)
Factor -2*r**4/23 + 2*r**3/23 + 18*r**2/23 + 22*r/23 + 8/23.
-2*(r - 4)*(r + 1)**3/23
Factor w**5/3 - 2*w**4 + 4*w**3 - 8*w**2/3.
w**2*(w - 2)**3/3
Factor -l**2 - 19030*l - 90535225.
-(l + 9515)**2
Factor o**3/4 + 7*o**2/2 + 25*o/4 + 3.
(o + 1)**2*(o + 12)/4
Suppose 3*m**2 + 7563*m + 15114 = 0. What is m?
-2519, -2
Find c such that -c**2 + 23*c + 860 = 0.
-20, 43
Solve -4*z**2 + 988*z + 7112 = 0 for z.
-7, 254
Factor -4*l**4 + 4*l**2.
-4*l**2*(l - 1)*(l + 1)
Factor w**2/9 - 13*w/9 + 4/3.
(w - 12)*(w - 1)/9
Find d, given that -d**2/6 + 133*d/6 - 686 = 0.
49, 84
Factor -y**3 + 33*y**2 + 34*y.
-y*(y - 34)*(y + 1)
Factor 49*z**3/2 + 1624*z**2 + 26912*z.
z*(7*z + 232)**2/2
Solve 16*a**5 - 44*a**4 + 8*a**3 + 44*a**2 - 24*a = 0 for a.
-1, 0, 3/4, 1, 2
Find o, given that 20*o**2 - 2172*o - 7616 = 0.
-17/5, 112
Factor -2*o**4/7 - 48*o**3/7 - 236*o**2/7 + 624*o/7 - 338/7.
-2*(o - 1)**2*(o + 13)**2/7
Determine r so that 4*r**2 - 16*r + 12 = 0.
1, 3
Factor j**3 + 81*j**2/2 + 416*j + 198.
(j + 18)*(j + 22)*(2*j + 1)/2
Factor 2*m**3 + 34*m**2 - 874*m - 15162.
2*(m - 21)*(m + 19)**2
Factor -5*y**3 + 10*y**2 - 5*y.
-5*y*(y - 1)**2
Determine q so that q**3/5 - 94*q**2/5 - 191*q/5 - 96/5 = 0.
-1, 96
Find q such that 2*q**3/3 + 160*q**2/3 + 3200*q/3 = 0.
-40, 0
Factor -2*s**4/7 - 232*s**3/7 - 9120*s**2/7 - 127072*s/7 - 219488/7.
-2*(s + 2)*(s + 38)**3/7
Factor -15*s**4 - 20*s**3 + 25*s**2 + 10*s.
-5*s*(s - 1)*(s + 2)*(3*s + 1)
Find y such that -5*y**4 + 2940*y**3 - 432180*y**2 = 0.
0, 294
Determine z, given that z**5 - 80*z**4 + 1753*z**3 - 6158*z**2 + 7372*z - 2888 = 0.
1, 2, 38
Suppose 2*f**3/9 - 2*f**2 + 16*f/9 = 0. What is f?
0, 1, 8
Factor 4*n**4 + 32*n**3 - 76*n**2 + 40*n.
4*n*(n - 1)**2*(n + 10)
Solve 76*c**5/3 - 604*c**4/3 + 956*c**3/3 - 404*c**2/3 - 8*c = 0 for c.
-1/19, 0, 1, 6
Factor -2*b**2/5 - 2*b/5 + 36.
-2*(b - 9)*(b + 10)/5
Let 56*r**5 + 226*r**4 + 172*r**3 - 10*r**2 - 12*r = 0. Calculate r.
-3, -1, -2/7, 0, 1/4
What is h in 4*h**5/3 - 29*h**4/3 + 9*h**3 + 23*h**2/3 - 31*h/3 + 2 = 0?
-1, 1/4, 1, 6
Solve -4*f**2 + 4 = 0 for f.
-1, 1
Let r**2 + 71*r - 222 = 0. Calculate r.
-74, 3
Determine v so that 3*v**2 + 93*v - 96 = 0.
-32, 1
Factor 4*k**3 + 701*k**2 - 529*k - 176.
(k - 1)*(k + 176)*(4*k + 1)
What is f in f**2/2 + 25*f - 51/2 = 0?
-51, 1
Suppose -10*z**4 + 1486*z**3 + 2116*z**2 - 2392*z - 1200 = 0. Calculate z.
-2, -2/5, 1, 150
Suppose -2*k**2/3 - 146*k/3 + 316 = 0. What is k?
-79, 6
Factor -5*c**4 + 15*c**3 - 5*c**2 - 15*c + 10.
-5*(c - 2)*(c - 1)**2*(c + 1)
Find y, given that 6*y**3 - 4*y**2 - 6*y + 4 = 0.
-1, 2/3, 1
Factor 5*p**4 + 25*p**3 + 15*p**2 - 45*p.
5*p*(p - 1)*(p + 3)**2
Suppose 3*s**5/2 + 15*s**4/2 + 9*s**3/2 - 27*s**2/2 = 0. What is s?
-3, 0, 1
What is h in 11*h**3/4 - 153*h**2/4 + 525*h/4 + 49/4 = 0?
-1/11, 7
Factor -x**2 - 65*x - 406.
-(x + 7)*(x + 58)
Factor 2*d**2 + 214*d.
2*d*(d + 107)
Determine q so that -2*q**3/7 - 72*q**2/7 - 768*q/7 - 2048/7 = 0.
-16, -4
Factor -4*c**4 + 44*c**3 + 308*c**2 + 228*c - 576.
-4*(c - 16)*(c - 1)*(c + 3)**2
Find j such that 3*j**2 + 3*j - 126 = 0.
-7, 6
Factor -5*h**5 - 35*h**4 - 50*h**3 + 10*h**2 + 55*h + 25.
-5*(h - 1)*(h + 1)**3*(h + 5)
Determine n so that n**2/5 - 5*n + 66/5 = 0.
3, 22
Factor -f**5/6 + 11*f**4/3 + 23*f**3/6.
-f**3*(f - 23)*(f + 1)/6
Factor -3*c**2 - 5511*c.
-3*c*(c + 1837)
Solve -h**2/2 - 98*h - 4802 = 0.
-98
Factor 2*c**5 + 2*c**4 - 14*c**3 - 26*c**2 - 12*c.
2*c*(c - 3)*(c + 1)**2*(c + 2)
Solve -28*n**5/9 + 202*n**4/9 + 424*n**3/9 + 230*n**2/9 + 4*n = 0.
-1, -1/2, -2/7, 0, 9
Solve 3*u**4/2 + 38*u**3 + 97*u**2/2 + 12*u = 0.
-24, -1, -1/3, 0
Solve -25*v**2 + 15*v = 0 for v.
0, 3/5
Factor g**2/5 + 47*g/5 + 442/5.
(g + 13)*(g + 34)/5
Factor i**3 + 5*i**2 - i - 5.
(i - 1)*(i + 1)*(i + 5)
Factor y**3 + 6937*y**2 + 12027023*y - 12033961.
(y - 1)*(y + 3469)**2
Factor -l**2/2 - 61*l/2 - 30.
-(l + 1)*(l + 60)/2
Factor -3*t**3/7 + 3*t**2 - 45*t/7 + 27/7.
-3*(t - 3)**2*(t - 1)/7
Factor -2*p**3/7 + 12*p**2/7 + 90*p/7 - 100/7.
-2*(p - 10)*(p - 1)*(p + 5)/7
Determine g, given that -g**2/4 + 91*g/4 - 45/2 = 0.
1, 90
Let -2*a**4 + 50*a**3 + 4418*a**2 - 127058*a - 131424 = 0. Calculate a.
-48, -1, 37
Factor -d**2/4 + 101*d + 1221/4.
-(d - 407)*(d + 3)/4
Determine q, given that 3*q**3/4 - 51*q**2/4 + 105*q/2 = 0.
0, 7, 10
Let -3*m**4 - 18*m**3 - 36*m**2 - 30*m - 9 = 0. Calculate m.
-3, -1
Factor 5*m**2 + 610*m - 615.
5*(m - 1)*(m + 123)
Factor 3*o**2/4 - 69*o/4 - 18.
3*(o - 24)*(o + 1)/4
Solve 5*c**3 - 7*c**2 - 58*c + 24 = 0 for c.
-3, 2/5, 4
Suppose -2*l**2/3 - 62*l/3 = 0. What is l?
-31, 0
Factor -p**2 - 707*p - 706.
-(p + 1)*(p + 706)
Find a such that -a**2/5 - 8*a = 0.
-40, 0
Suppose -6*k**4/5 - 12*k**3/5 + 48*k**2/5 + 108*k/5 + 54/5 = 0. Calculate k.
-3, -1, 3
Determine n, given that n**4 + 38*n**3 + 37*n**2 = 0.
-37, -1, 0
Determine v so that 2*v**5 + 6*v**4 - 14*v**3 - 14*v**2 + 36*v - 16 = 0.
-4, -2, 1
Factor -c**3 - 4*c**2 - c + 6.
-(c - 1)*(c + 2)*(c + 3)
Suppose -g**2 + 352*g - 30976 = 0. What is g?
176
What is y in -5*y**4 - 215*y**3 - 1700*y**2 + 13440*y - 11520 = 0?
-24, 1, 4
Let -4*u**2/3 - 308*u/3 - 296 = 0. What is u?
-74, -3
Factor -p**5/4 + 17*p**4/4 - 4*p**3.
-p**3*(p - 16)*(p - 1)/4
Factor u**3 + 5*u**2 - u - 5.
(u - 1)*(u + 1)*(u + 5)
Factor -z**3/5 - 49*z**2/5 - 115*z + 125.
-(z - 1)*(z + 25)**2/5
Factor 3*u**2/7 + 198*u + 22869.
3*(u + 231)**2/7
Determine o so that -50*o**3 - 790*o**2 - 608*o - 120 = 0.
-15, -2/5
Factor -2*p**5/7 + 968*p**4/7 - 118092*p**3/7 + 233288*p**2/7 - 116162*p/7.
-2*p*(p - 241)**2*(p - 1)**2/7
Factor 162*l**5/5 + 13086*l**4/5 - 2914*l**3/5 + 162*l**2/5.
2*l**2*(l + 81)*(9*l - 1)**2/5
Solve 5*v**3 + 5*v**2 - 80*v - 80 = 0.
-4, -1, 4
Solve -26*j**5 - 238*j**4 - 426*j**3 - 242*j**2 - 28*j = 0.
-7, -1, -2/13, 0
Let 5*n**2 - 175*n - 180 = 0. What is n?
-1, 36
Factor -4*g**2 + 500*g + 504.
-4*(g - 126)*(g + 1)
Find p such that 2*p**3 + 112*p**2 + 216*p = 0.
-54, -2, 0
Factor -5*i**4 + 40*i**3 - 30*i**2 - 360*i + 675.
-5*(i - 5)*(i - 3)**2*(i + 3)
Factor -6*k**3/7 - 8*k**2/7 - 2*k/7.
-2*k*(k + 1)*(3*k + 1)/7
Solve 3*w**2/4 + 15*w/2 + 12 = 0 for w.
-8, -2
Find y such that 4*y**4 - 360*y**3 + 8100*y**2 = 0.
0, 45
Suppose 10*h**4 - 75*h**3 - 625*h**2 + 1050*h - 360 = 0. What is h?
-6, 1/2, 1, 12
Solve 3*y**4 - 11*y**3 + 11*y**2 - y - 2 = 0.
-1/3, 1, 2
Factor -v**3/8 - 3*v**2/8 + 45*v/8 + 175/8.
-(v - 7)*(v + 5)**2/8
Factor -2*w**3/3 + 14*w - 40/3.
-2*(w - 4)*(w - 1)*(w + 5)/3
Solve 3*y**2 + 21*y - 234 = 0.
-13, 6
Solve 5*l**4/6 - 595*l**3/6 + 19115*l**2/6 - 27835*l/2 + 10830 = 0 for l.
1, 4, 57
Suppose -150*x**2 + 905*x/2 - 15/2 = 0. What is x?
1/60, 3
Find k such that -k**4 + 1584*k**3 - 630424*k**2 + 2502720*k - 2496400 = 0.
2, 790
Factor t**2/2 - 17*t/2 + 26.
(t - 13)*(t - 4)/2
Solve -3*u**5 - u**4 + 6*u**3 + 2*u**2 - 3*u - 1 = 0 for u.
-1, -1/3, 1
Solve 6*x**5 + 284*x**4 + 4416*x**3 + 21504*x**2 - 16384*x = 0 for x.
-16, 0, 2/3
Suppose 4*n**4 - 52*n**3 + 120*n**2 = 0. Calculate n.
0, 3, 10
Determine z, given that 2*z**2 + 992*z - 994 = 0.
-497, 1
Suppose -2*z**2/7 - 138*z/7 + 20 = 0. Calculate z.
-70, 1
Factor u**4/5 + 49*u**3/5 + 267*u**2/5 + 387*u/5.
u*(u + 3)**2*(u + 43)/5
Factor 2*z**4/9 + 184*z**3/9 + 710*z**2/9 + 176*z/3.
2*z*(z + 1)*(z + 3)*(z + 88)/9
Factor 5*p**2 + 45*p + 70.
5*(p + 2)*(p + 7)
Factor -3*o**2 - 228*o - 1632.
-3*(o + 8)*(o + 68)
Suppose -2*v**5 + 22*v**4 - 62*v**3 + 34*v**2 + 64*v - 56 = 0. Calculate v.
-1, 1, 2, 7
Factor -2*y**2/7 + 1170*y/7.
-2*y*(y - 585)/7
Factor -c**5/3 + 4*c**4 - 10*c**3 - 100*c**2/3 + 125*c.
-c*(c - 5)**3*(c + 3)/3
Factor -f**4/6 - 4*f**3/3 - 7*f**2/2 - 11*f/3 - 4/3.
-(f + 1)**2*(f + 2)*(f + 4)/6
Solve -5*q**2/6 + 110*q/3 - 1210/3 = 0 for q.
22
Determine u, given that 12*u**3 + 80*u**2 - 36*u - 56 = 0.
-7, -2/3, 1
Suppose 5*f**5 - 70*f**3 - 60*f**2 + 65*f + 60 = 0. What is f?
-3, -1, 1, 4
Factor -5*n**3/2 - 95*n**2/2 - 280*n - 480.
-5*(n + 3)*(n + 8)**2/2
Factor 3*p**4/4 - 9*p**3/4 - 3*p**2/4 + 9*p/4.
3*p*(p - 3)*(p - 1)*(p + 1)/4
Factor