*2/3 + 248*k/3 - 7688/3.
-2*(k - 62)**2/3
Solve s**2/9 + 95*s/9 - 194/9 = 0.
-97, 2
Determine d, given that -d**2/4 - 71*d/2 + 435/4 = 0.
-145, 3
Factor -5*y**3 + 15*y**2 + 440*y.
-5*y*(y - 11)*(y + 8)
Factor 21900*v**3 - 6770*v**2 + 2211*v/4 - 9/2.
(20*v - 3)**2*(219*v - 2)/4
Determine d, given that -81*d**5 - 1206*d**4 - 4408*d**3 + 6192*d**2 + 33264*d - 42336 = 0.
-6, 14/9
Let 2*l**3/7 + 158*l**2/7 = 0. Calculate l.
-79, 0
Factor 2*t**3/5 + 12*t**2 + 58*t/5.
2*t*(t + 1)*(t + 29)/5
Suppose -5*l**3 - 180*l**2 - 345*l - 170 = 0. What is l?
-34, -1
Factor 48*z**4 - 696*z**3 + 339*z**2 - 42*z.
3*z*(z - 14)*(4*z - 1)**2
Solve 5*k**5 + 40*k**4 + 105*k**3 + 90*k**2 = 0.
-3, -2, 0
Let 5*g**5/3 - 11*g**4 + 41*g**3/3 + 19*g**2 - 46*g/3 - 8 = 0. What is g?
-1, -2/5, 1, 3, 4
Determine p so that -20*p**2/3 + 272*p/3 + 112/3 = 0.
-2/5, 14
Factor -8*n**5 + 1950*n**4 - 178120*n**3 + 7218740*n**2 - 108950880*n - 27691682.
-2*(n - 61)**4*(4*n + 1)
Let -4*m**2/5 - 53496*m/5 - 178863876/5 = 0. Calculate m.
-6687
What is y in -3*y**3/7 - 72*y**2/7 + 957*y/7 + 2178/7 = 0?
-33, -2, 11
Factor c**4/11 - 41*c**3/11.
c**3*(c - 41)/11
Solve -8*v**2/7 + 422*v/7 + 106/7 = 0.
-1/4, 53
Let -2*u**2/5 - 56*u - 1960 = 0. Calculate u.
-70
Factor t**2/4 + 3045*t + 9272025.
(t + 6090)**2/4
Factor 3*b**4 - 93*b**3 - 198*b**2.
3*b**2*(b - 33)*(b + 2)
Determine q, given that q**5/3 - 23*q**4 + 1289*q**3/3 - 1133*q**2 + 726*q = 0.
0, 1, 2, 33
What is d in -2*d**4/7 - 6*d**3/7 + 204*d**2/7 - 176*d/7 - 384/7 = 0?
-12, -1, 2, 8
Factor t**2 + 970*t - 971.
(t - 1)*(t + 971)
Factor -x**2 - 178*x - 7921.
-(x + 89)**2
What is z in -5*z**2 - 305*z + 310 = 0?
-62, 1
Factor 2*z**4 - 2*z**3 - 2*z**2 + 2*z.
2*z*(z - 1)**2*(z + 1)
Solve -2*i**2 - 1000*i - 125000 = 0 for i.
-250
Factor 3*z**2 + 21*z - 24.
3*(z - 1)*(z + 8)
Let 60835*d**5 + 1528810*d**4 - 1382990*d**3 - 197680*d**2 - 8845*d - 130 = 0. Calculate d.
-26, -1/23, 1
Factor n**5 - 9*n**4 - 2*n**3 + 18*n**2 + n - 9.
(n - 9)*(n - 1)**2*(n + 1)**2
Factor 4*a**2/3 - 56*a/3 - 276.
4*(a - 23)*(a + 9)/3
Factor 2*v**4/9 - 404*v**3/9 - 826*v**2/3 - 416*v.
2*v*(v - 208)*(v + 3)**2/9
Factor j**5/4 - 3*j**4/2 + 9*j**3/4 + j**2 - 3*j.
j*(j - 3)*(j - 2)**2*(j + 1)/4
Find h such that 108*h**4 + 252*h**3 - 789*h**2 - 282*h - 24 = 0.
-4, -1/6, 2
Suppose 2*c**3/5 - 4*c**2 + 48*c/5 = 0. What is c?
0, 4, 6
Factor -21*o**2/5 + 4*o/5.
-o*(21*o - 4)/5
Find a such that -3*a**5 + 15*a**4 - 27*a**3 + 21*a**2 - 6*a = 0.
0, 1, 2
What is m in 15*m**3/4 - 171*m**2/4 + 243*m/2 - 42 = 0?
2/5, 4, 7
Solve -2*j**2 - 900*j - 101250 = 0 for j.
-225
Find w, given that 2*w**4/11 - 90*w**3/11 + 1208*w**2/11 - 4320*w/11 + 3200/11 = 0.
1, 4, 20
Factor -2*q**2/3 - 494*q/3 - 164.
-2*(q + 1)*(q + 246)/3
Determine c, given that -126*c**5 + 13182*c**4 - 20906*c**3 - 10934*c**2 + 1640*c + 824 = 0.
-1/3, 2/7, 2, 103
Let -35*m**4 + 260*m**3 + 175*m**2 - 120*m = 0. What is m?
-1, 0, 3/7, 8
Find b, given that -2*b**2 + 22*b + 304 = 0.
-8, 19
Factor 2*z**3/5 + 12*z**2/5 - 64/5.
2*(z - 2)*(z + 4)**2/5
Factor -3*y**2/8 - 75*y/2 - 1875/2.
-3*(y + 50)**2/8
Factor -h**5 + 114*h**4 + 468*h**3 + 472*h**2.
-h**2*(h - 118)*(h + 2)**2
Determine d so that 2*d**2/3 + 2696*d/3 + 908552/3 = 0.
-674
Factor -5*v**2 + 20*v - 20.
-5*(v - 2)**2
Factor 4*p**3/9 + 140*p**2/3 + 1152*p - 3888.
4*(p - 3)*(p + 54)**2/9
Factor 3*f**2/2 - 363*f/2 - 183.
3*(f - 122)*(f + 1)/2
What is t in 4*t**4 - 400*t**3 + 396*t**2 = 0?
0, 1, 99
Factor -i**3/4 - 5*i**2/2 + 151*i/4 - 95.
-(i - 5)*(i - 4)*(i + 19)/4
Let 12*a**3 - 3075*a**2 + 197376*a - 49152 = 0. What is a?
1/4, 128
Factor 206323418*y**3/15 + 2639532*y**2/5 + 33768*y/5 + 144/5.
2*(469*y + 6)**3/15
Find r such that -15*r**4 - 25*r**3 + 5*r**2 + 25*r + 10 = 0.
-1, -2/3, 1
Factor -15*d**3 - 640*d**2 - 1620*d - 800.
-5*(d + 2)*(d + 40)*(3*d + 2)
Factor i**3/2 - 4*i**2 + 21*i/2 - 9.
(i - 3)**2*(i - 2)/2
Factor m**2 - 11394*m + 32455809.
(m - 5697)**2
Find w such that -w**5/6 + 25*w**4/6 - 80*w**3/3 - 10*w**2 + 240*w - 288 = 0.
-3, 2, 12
Find c, given that 3*c**2/5 + 3408*c - 17043/5 = 0.
-5681, 1
Factor 5*o**2 + 105*o - 2960.
5*(o - 16)*(o + 37)
What is d in -d**5/12 + 23*d**4/6 - 15*d**3/4 = 0?
0, 1, 45
Factor z**3/3 - 1646*z**2 + 2709316*z - 4459534136/3.
(z - 1646)**3/3
Find f, given that 2*f**4/11 + 8*f**3/11 - 38*f**2/11 + 28*f/11 = 0.
-7, 0, 1, 2
Factor -2*i**3/11 - 80*i**2/11 - 800*i/11.
-2*i*(i + 20)**2/11
Determine x, given that x**2/5 + 32*x + 471/5 = 0.
-157, -3
Factor -5*o**3 - 455*o**2.
-5*o**2*(o + 91)
Find n such that -6*n**3 - 22*n**2 - 24*n - 8 = 0.
-2, -1, -2/3
Determine h so that -5*h**3 - 25*h**2 - 30*h = 0.
-3, -2, 0
Find h, given that -3*h**4 + 12*h**3 - 6*h**2 - 12*h + 9 = 0.
-1, 1, 3
Determine n, given that -2*n**4/5 - 56*n**3/5 - 66*n**2 + 180*n = 0.
-15, 0, 2
Solve 7*y**5/12 + 9*y**4/2 - 317*y**3/12 + 41*y**2 - 71*y/3 + 4 = 0 for y.
-12, 2/7, 1, 2
Let 2*w**5/13 + 10*w**4/13 + 8*w**3/13 - 32*w**2/13 - 64*w/13 - 32/13 = 0. What is w?
-2, -1, 2
Let -5*v**4 - 60*v**3 + 225*v**2 = 0. What is v?
-15, 0, 3
Factor 5*q**3 + 1030*q**2 - 2075*q + 1040.
5*(q - 1)**2*(q + 208)
Factor -3*u**2/2 + 24*u + 54.
-3*(u - 18)*(u + 2)/2
What is x in -5*x**4 - 25*x**3 - 25*x**2 + 25*x + 30 = 0?
-3, -2, -1, 1
Factor c**3/6 + 4*c**2/3 + 5*c/6 - 7/3.
(c - 1)*(c + 2)*(c + 7)/6
Factor -3*h**5 + 48*h**4 + 456*h**3 + 702*h**2 - 1701*h - 3726.
-3*(h - 23)*(h - 2)*(h + 3)**3
Factor -2*u**4 - 12*u**3 + 32*u**2.
-2*u**2*(u - 2)*(u + 8)
Solve o**5/6 + 15*o**4 + 2617*o**3/6 + 4440*o**2 + 43808*o/3 = 0.
-37, -8, 0
Determine f so that 8*f**3 - 82*f**2 - 68*f + 22 = 0.
-1, 1/4, 11
Find x, given that -3*x**5 + 9*x**4 - 6*x**3 = 0.
0, 1, 2
Let -2*k**2 + 232*k - 456 = 0. What is k?
2, 114
Determine i so that 6*i**3 + 15*i**2 + 12*i + 3 = 0.
-1, -1/2
Solve 5*c**2/4 + 380*c + 28880 = 0 for c.
-152
Factor -4*j**2 + 4184*j + 21020.
-4*(j - 1051)*(j + 5)
Find f such that -125*f**4 + 10225*f**3 - 7845*f**2 - 20565*f - 7290 = 0.
-3/5, 2, 81
Factor 3*l**2/5 + 1071*l/5 + 426.
3*(l + 2)*(l + 355)/5
Factor n**4/5 + 9*n**3 - n**2/5 - 9*n.
n*(n - 1)*(n + 1)*(n + 45)/5
Factor -z**2 - 3*z - 2.
-(z + 1)*(z + 2)
Suppose 2*d**3 + 3014*d**2 + 6022*d + 3010 = 0. What is d?
-1505, -1
What is o in 3*o**2/4 - 111*o/2 + 630 = 0?
14, 60
Let -3*y**4/2 - 11*y**3/2 - 15*y**2/2 - 9*y/2 - 1 = 0. What is y?
-1, -2/3
Let -2*i**5 + 3700*i**4/3 + 1252*i**3/3 - 3704*i**2 + 3698*i/3 + 2468/3 = 0. Calculate i.
-2, -1/3, 1, 617
Factor -2*r**2/11 - 34*r/11 - 120/11.
-2*(r + 5)*(r + 12)/11
Let 2*x**3/3 - 18*x**2 - 116*x/3 = 0. Calculate x.
-2, 0, 29
Factor 2*s**4 - 4*s**3 - 30*s**2 - 8*s + 40.
2*(s - 5)*(s - 1)*(s + 2)**2
Factor -16*s**3 - 284*s**2 + 376*s - 76.
-4*(s - 1)*(s + 19)*(4*s - 1)
Determine j so that -2*j**3/3 - 44*j**2 - 502*j/3 - 124 = 0.
-62, -3, -1
Factor 3*m**4 + 84*m**3/5 - 36*m**2/5.
3*m**2*(m + 6)*(5*m - 2)/5
Suppose -c**2/4 + 5*c/4 = 0. What is c?
0, 5
Determine l, given that -3*l**5/4 - 123*l**4/2 - 465*l**3/2 + 126*l**2 + 2781*l/4 - 1053/2 = 0.
-78, -3, 1
Factor -2*a**3 - 63*a**2/2 - 55*a.
-a*(a + 2)*(4*a + 55)/2
Suppose -r**5/12 - 41*r**4/12 - 439*r**3/12 - 577*r**2/4 - 192*r - 81 = 0. What is r?
-27, -6, -1
Determine n so that -n**3 - 5*n**2 - 4*n = 0.
-4, -1, 0
Solve -n**3/7 - 22*n**2/7 + 25*n/7 + 46/7 = 0 for n.
-23, -1, 2
Factor -4*s**4 - 96*s**3 - 332*s**2 - 240*s.
-4*s*(s + 1)*(s + 3)*(s + 20)
Solve -i**4/6 + 35*i**3/6 + i**2/6 - 35*i/6 = 0 for i.
-1, 0, 1, 35
What is s in 18*s**5 - 4*s**4 - 198*s**3 + 368*s**2 - 216*s + 32 = 0?
-4, 2/9, 1, 2
Determine h so that 11*h**3 - 29*h**2 + 10*h + 8 = 0.
-4/11, 1, 2
Determine y so that 5*y**3 - 21945*y**2 + 24090120*y - 24068180 = 0.
1, 2194
Suppose -12*b**5 + 244*b**4 - 296*b**3 - 168*b**2 + 308*b - 76 = 0. Calculate b.
-1, 1/3, 1, 19
Determine y, given that 17*y**4/5 - 3*y**3 - 19*y**2/5 + 3*y + 2/5 = 0.
-1, -2/17, 1
Factor -2*u**3 + 24*u**2 - 54*u - 80.
-2*(u - 8)*(u - 5)*(u + 1)
Factor -2*m**2/7 - 82*m/7 - 828/7.
-2*(m + 18)*(m + 23)/7
Find t such that -2*t**4 + 110*t**3 + 356*t**2 - 464*t = 0.
-4, 0, 1, 58
Let 4*n**4/5 + 2*n**3 - 2*n - 4/5 = 0. What is n?
-2, -1, -1/2, 1
Find k, given that -2*k**5/5 + 164*k**4/5 + 344*k**3/5 - 668*k**2/5 - 342*k/5 + 504/5 = 0.
-3, -1, 1, 84
Let 5*g**5 + 20*g**4 - 45*g**3 - 160*g**2 + 140*g + 240 = 0. What is g?
-4