3, 0, 7
Determine m, given that 3*m**4/2 + 15*m**3 + 99*m**2/2 + 60*m + 24 = 0.
-4, -1
Factor -r**3 - 53*r**2 - 102*r.
-r*(r + 2)*(r + 51)
Factor 4*q**5 + 120*q**4 + 1440*q**3 + 8640*q**2 + 25920*q + 31104.
4*(q + 6)**5
Factor -55*x**4 - 105*x**3 - 45*x**2 + 5*x.
-5*x*(x + 1)**2*(11*x - 1)
Factor -189*c**3/2 + 3165*c**2 - 78128*c/3 - 23104/3.
-(7*c + 2)*(9*c - 152)**2/6
Determine x, given that 16*x**3/13 - 2*x**2 - 86*x/13 + 60/13 = 0.
-2, 5/8, 3
Factor -12*o**3 - 196*o**2 + 368*o + 144.
-4*(o - 2)*(o + 18)*(3*o + 1)
Determine b, given that 4*b**5 + 68*b**4 + 272*b**3 + 400*b**2 + 192*b = 0.
-12, -2, -1, 0
Factor 3*n**4 + 57*n**3 + 105*n**2 + 51*n.
3*n*(n + 1)**2*(n + 17)
Let -p**2 - 108*p - 2916 = 0. What is p?
-54
Find r, given that 27*r**4 - 21*r**3 - 114*r**2 + 84*r + 24 = 0.
-2, -2/9, 1, 2
Determine y so that 3*y**2 - 51*y + 48 = 0.
1, 16
Find i, given that i**2/4 + 10*i - 41/4 = 0.
-41, 1
Factor -m**2/9 + 155*m/9 - 604/9.
-(m - 151)*(m - 4)/9
Let 4*s**5 - 8*s**4 - 8*s**3 + 16*s**2 + 4*s - 8 = 0. Calculate s.
-1, 1, 2
Let -5*t**2/4 + 175*t/2 - 6125/4 = 0. Calculate t.
35
Find u such that u**5/4 + u**4/2 - 7*u**3/4 - 2*u**2 + 3*u = 0.
-3, -2, 0, 1, 2
Suppose 2*y**4/13 + 92*y**3/13 + 1126*y**2/13 + 1900*y/13 = 0. Calculate y.
-25, -19, -2, 0
Factor -3*s**2 - 81*s + 84.
-3*(s - 1)*(s + 28)
Find d, given that 5*d**5 + 15*d**4 - 10*d**3 - 30*d**2 + 5*d + 15 = 0.
-3, -1, 1
Let f**5 + 9*f**4 + 23*f**3 + 7*f**2 - 24*f - 16 = 0. What is f?
-4, -1, 1
Find s such that s**5/5 - s**4/5 - s**3/5 + s**2/5 = 0.
-1, 0, 1
Factor 100*m**4 + 480*m**3 - 164*m**2 - 336*m - 80.
4*(m - 1)*(m + 5)*(5*m + 2)**2
Find y, given that y**3/9 - 10*y**2/3 + 4000/9 = 0.
-10, 20
Factor 5*t**5 + 75*t**4 + 240*t**3 + 220*t**2.
5*t**2*(t + 2)**2*(t + 11)
Solve m**3/10 + 29*m**2/5 = 0 for m.
-58, 0
Let -15*n**5/2 + 51*n**4/2 - 9*n**3 - 30*n**2 + 12*n = 0. What is n?
-1, 0, 2/5, 2
Solve 3*p**2 + 114*p = 0.
-38, 0
Solve -i**2 - 5*i - 4 = 0.
-4, -1
Solve 2*t**3 - 180*t**2 + 4386*t - 14792 = 0 for t.
4, 43
Suppose -5*f**5 - 20*f**4 + 1505*f**3 + 1520*f**2 = 0. Calculate f.
-19, -1, 0, 16
Determine p, given that -p**2 + 92*p - 2116 = 0.
46
Factor -5*n**2/4 - 855*n/4 + 215.
-5*(n - 1)*(n + 172)/4
Suppose 4*s**3 + 40*s**2 + 44*s - 280 = 0. Calculate s.
-7, -5, 2
Factor 3*c**4 - 300*c**3 - 306*c**2 + 300*c + 303.
3*(c - 101)*(c - 1)*(c + 1)**2
Find t, given that 4*t**4 + 28*t**3 + 44*t**2 + 20*t = 0.
-5, -1, 0
Factor 7*f**2/6 + 223*f/3 - 64/3.
(f + 64)*(7*f - 2)/6
Suppose -w**3/5 + 11*w**2/5 - 34*w/5 + 24/5 = 0. Calculate w.
1, 4, 6
Factor -y**5/7 - 74*y**4/7 - 144*y**3/7 + 2*y**2/7 + 145*y/7 + 72/7.
-(y - 1)*(y + 1)**3*(y + 72)/7
Find l such that 6*l**2 + 46*l + 68 = 0.
-17/3, -2
Determine y so that 4*y**2/5 - 128*y + 1264/5 = 0.
2, 158
Suppose -28*r**4 - 100*r**3 + 20*r**2 + 180*r - 72 = 0. What is r?
-3, -2, 3/7, 1
Suppose -3*i**2 - 690*i + 693 = 0. What is i?
-231, 1
Factor 2*i**4/13 + 96*i**3/13 + 810*i**2/13 - 8748*i/13.
2*i*(i - 6)*(i + 27)**2/13
Let -5*y**2 - 815*y = 0. Calculate y.
-163, 0
Suppose 507*q**2 - 936*q + 432 = 0. What is q?
12/13
Suppose 115*f**3 - 1723*f**2 - 1870*f - 32 = 0. What is f?
-1, -2/115, 16
Factor s**3/8 + 21*s**2/2 + 240*s + 800.
(s + 4)*(s + 40)**2/8
Factor 3*h**2 + 24*h + 36.
3*(h + 2)*(h + 6)
Find n, given that -3*n**5 - 51*n**4 - 45*n**3 + 51*n**2 + 48*n = 0.
-16, -1, 0, 1
Suppose 2*s**4/3 + 112*s**3 - 1376*s**2/3 = 0. Calculate s.
-172, 0, 4
Suppose -4*b**5 - 56*b**4 - 244*b**3 - 336*b**2 - 144*b = 0. Calculate b.
-6, -1, 0
What is r in -28*r**5 + 1244*r**4/5 + 620*r**3 + 1732*r**2/5 - 32*r - 176/5 = 0?
-1, -2/5, 2/7, 11
Find b, given that b**4 - 3*b**3 - 72*b**2 - 176*b = 0.
-4, 0, 11
Factor 3*o**4/5 + 63*o**3/5 + 468*o**2/5 + 1488*o/5 + 1728/5.
3*(o + 4)**3*(o + 9)/5
Factor 3*p**3/8 + 1209*p**2/4 + 4827*p/8 + 603/2.
3*(p + 1)**2*(p + 804)/8
Solve 3*o**5/4 - 21*o**4/2 - 105*o**3/4 + 681*o**2 - 1245*o + 600 = 0 for o.
-8, 1, 10
Suppose -n**4/4 - 15*n**3/4 - 23*n**2/2 + 15*n + 50 = 0. What is n?
-10, -5, -2, 2
Suppose -2*w**2 - 988*w - 122018 = 0. What is w?
-247
What is o in 4*o**4 + 56*o**3 + 192*o**2 + 72*o - 324 = 0?
-9, -3, 1
Suppose -3*v**5/7 + 24*v**3/7 + 18*v**2/7 - 3*v - 18/7 = 0. Calculate v.
-2, -1, 1, 3
Let 4*l**4 + 49*l**3 + 120*l**2 + 27*l = 0. Calculate l.
-9, -3, -1/4, 0
Factor 4*l**3/3 - 6776*l**2/3.
4*l**2*(l - 1694)/3
Factor -2*t**2/3 - 1508*t/3 - 284258/3.
-2*(t + 377)**2/3
Let 2*c**2/13 + 102*c/13 + 820/13 = 0. What is c?
-41, -10
Factor -5*m**4 + 295*m**3 - 575*m**2 + 285*m.
-5*m*(m - 57)*(m - 1)**2
Let -d**2 + 8*d + 20 = 0. What is d?
-2, 10
Find v such that -4*v**2 + 12*v + 40 = 0.
-2, 5
Factor 4*w**2 - 32*w - 336.
4*(w - 14)*(w + 6)
Factor x**2/8 + 19*x/2 + 1323/8.
(x + 27)*(x + 49)/8
Find z such that z**4/9 - 5*z**3/9 - 77*z**2/9 + 49*z = 0.
-9, 0, 7
Suppose -2*j**2/7 = 0. Calculate j.
0
Let 5*x**4 - 4715*x**3 + 1109200*x**2 + 1113920*x = 0. What is x?
-1, 0, 472
Factor 4*n**3/3 + 88*n**2/3 - 92*n/3.
4*n*(n - 1)*(n + 23)/3
Factor 2*h**4/7 + 4*h**3 - 2*h**2/7 - 4*h.
2*h*(h - 1)*(h + 1)*(h + 14)/7
Factor 5*m**2 + 27260*m + 37155380.
5*(m + 2726)**2
Find t, given that -3*t**4/4 + 3*t**3 + 33*t**2/2 - 3*t - 63/4 = 0.
-3, -1, 1, 7
Factor -h**3 - 107*h**2 - 2915*h - 2809.
-(h + 1)*(h + 53)**2
Let i**5/2 + 6*i**4 + 43*i**3/2 + 30*i**2 + 14*i = 0. Calculate i.
-7, -2, -1, 0
Let 4*x**2 + 176*x = 0. What is x?
-44, 0
Factor h**2/4 + 49*h/4 - 51/2.
(h - 2)*(h + 51)/4
What is x in 5*x**5 - 80*x**4 + 150*x**3 + 560*x**2 + 325*x = 0?
-1, 0, 5, 13
Factor -3*g**3/8 - 69*g**2/4 - 165*g - 408.
-3*(g + 4)*(g + 8)*(g + 34)/8
Factor 2*y**5 - 18*y**4 - 188*y**3 - 536*y**2 - 624*y - 256.
2*(y - 16)*(y + 1)*(y + 2)**3
What is v in -2*v**3/3 - 12*v**2 - 40*v + 400/3 = 0?
-10, 2
Find v, given that 10*v**5/3 + 32*v**4 - 352*v**3/3 - 3328*v**2/3 + 2048*v + 16384/3 = 0.
-8, -8/5, 4
Suppose 2*g**3/7 - 158*g**2/7 = 0. What is g?
0, 79
Solve h**5 - 5*h**4 - 2*h**3 + 42*h**2 - 63*h + 27 = 0 for h.
-3, 1, 3
Let 4*s**4/3 + 28*s**3/3 + 16*s**2/3 - 16*s = 0. What is s?
-6, -2, 0, 1
Factor n**3/5 - 3*n**2/5 - 4*n/5.
n*(n - 4)*(n + 1)/5
Factor b**3 - 32*b**2 + 220*b.
b*(b - 22)*(b - 10)
Determine y so that -33*y**4 + 60*y**3 + 177*y**2 - 168*y - 36 = 0.
-2, -2/11, 1, 3
Determine t, given that 4*t**3 + 2060*t**2 + 4108*t + 2052 = 0.
-513, -1
Solve q**5/2 + 137*q**4 - 1120*q**3 + 2256*q**2 = 0 for q.
-282, 0, 4
Determine l, given that l**4/5 - 17*l**3/5 + 61*l**2/5 + 117*l/5 - 162/5 = 0.
-2, 1, 9
Find b such that -3*b**2 - 1389*b + 1392 = 0.
-464, 1
Factor 7*z**4 - 9*z**3 + 2*z**2.
z**2*(z - 1)*(7*z - 2)
Find h, given that 2*h**2/9 + 158*h/3 = 0.
-237, 0
Factor 4*o**2 - 52*o.
4*o*(o - 13)
Suppose 20*y**4 - 28*y**3 - 392*y**2 + 160*y = 0. What is y?
-4, 0, 2/5, 5
Factor -3*x**2 - 258*x - 255.
-3*(x + 1)*(x + 85)
Suppose -2*h**4/9 + 2*h**3/3 + 2*h**2 + 10*h/9 = 0. What is h?
-1, 0, 5
Factor 3*m**3 + 12*m**2 + 12*m.
3*m*(m + 2)**2
Solve z**4/2 + 7*z**3 + 11*z**2/2 - 13*z = 0.
-13, -2, 0, 1
Factor -15*f**3 - 40*f**2 + 505*f + 350.
-5*(f - 5)*(f + 7)*(3*f + 2)
What is i in -6*i**5 - 94*i**4/5 + 948*i**3/5 - 1672*i**2/5 + 144*i + 128/5 = 0?
-8, -2/15, 1, 2
Factor 27*s**3 - 681*s**2 - 3900*s + 900.
3*(s - 30)*(s + 5)*(9*s - 2)
Let 4*j**4 + 128*j**3 + 436*j**2 - 408*j - 2016 = 0. What is j?
-28, -3, 2
What is r in 575*r**2 - 10*r = 0?
0, 2/115
Factor -v**2/11 - 32*v/11 + 3.
-(v - 1)*(v + 33)/11
Solve 3*g**4 + 27*g**3/2 - 147*g**2/2 + 81*g - 24 = 0 for g.
-8, 1/2, 1, 2
Factor 3*k**4 + 6*k**3 - 6*k - 3.
3*(k - 1)*(k + 1)**3
Factor j**4/2 + 2*j**3 - 37*j**2/2 + 34*j - 18.
(j - 2)**2*(j - 1)*(j + 9)/2
Factor 9*p**4 + 146*p**3 + 167*p**2 + 30*p.
p*(p + 1)*(p + 15)*(9*p + 2)
Find y, given that -y**2/5 - 177*y/5 - 692/5 = 0.
-173, -4
What is p in -5*p**3 + 335*p**2 + 2940*p + 4500 = 0?
-6, -2, 75
Determine f, given that 2*f**2/11 + 10*f/11 = 0.
-5, 0
Solve -v**5/2 + 147*v**4 - 28209*v**3/2 + 411350*v**2 + 2865000*v + 4500000 = 0 for v.
-3, 100
Let -2*m**3 - 216*m**2 - 1242*m - 1836 = 0. Calculate m.
-102, -3
Factor -3*x**2/4 + 213*x/4.
-3*x*(x - 71)/4
Solve -3*h**2 - 1395*h/8 - 1539/8 = 0.
-57, -9/8
Factor -a**4 + 149*a**3 - 870*a**2 + 1724*a - 1144.
-(a - 143)*(a - 2)**3
Factor -72*v**5 - 312*v**4 - 386*v**3 - 104*v**2 - 8*v.
-2*v*(v + 2)**2*(6*v + 1)**2
Factor 35*m**3 -