x**5 + 405*x**4 + 4430*x**3 + 10810*x**2 + 9975*x + 3185.
-5*(x - 91)*(x + 1)**3*(x + 7)
What is o in -3*o**5 + 858*o**4 - 82893*o**3 + 2805618*o**2 - 9569388*o - 12458760 = 0?
-1, 5, 94
Factor -2*v**5 + 4*v**4 + 16*v**3 + 4*v**2 - 14*v - 8.
-2*(v - 4)*(v - 1)*(v + 1)**3
Determine v, given that 2*v**3 - 6*v**2 + 8 = 0.
-1, 2
Factor 4*y**2/7 - 204*y/7 + 576/7.
4*(y - 48)*(y - 3)/7
What is v in v**5/2 + 37*v**4/6 - 113*v**3/6 + 103*v**2/6 - 5*v = 0?
-15, 0, 2/3, 1
Factor -3*x**2/8 - 159*x/2 - 8427/2.
-3*(x + 106)**2/8
Determine p, given that 52*p**4 - 1964*p**3 + 18276*p**2 + 5852*p - 14440 = 0.
-1, 10/13, 19
Determine r so that 4*r**4 - 228*r**3 + 660*r**2 - 652*r + 216 = 0.
1, 54
Determine u so that -5*u**4 + 15*u**3 - 20*u = 0.
-1, 0, 2
Suppose -5*l**3/4 + 85*l**2/4 - 100*l + 80 = 0. Calculate l.
1, 8
Solve 3*i**5/4 + 3*i**4/4 - 27*i**3/4 - 27*i**2/4 = 0 for i.
-3, -1, 0, 3
Find c, given that -4*c**3 - 21*c**2 + 46*c - 21 = 0.
-7, 3/4, 1
Factor o**3/4 - 5*o**2 + 61*o/4 + 195/2.
(o - 13)*(o - 10)*(o + 3)/4
Factor -c**3/3 - 2*c**2/3 + 13*c - 24.
-(c - 3)**2*(c + 8)/3
Suppose -g**5 + 46*g**4 - 249*g**3 - 6440*g**2 - 19600*g = 0. What is g?
-5, 0, 28
Suppose 16*n**4/19 + 30*n**3/19 + 12*n**2/19 - 2*n/19 = 0. Calculate n.
-1, 0, 1/8
Factor -h**4/4 - 19*h**3/4 - 63*h**2/4 + 187*h/4 - 26.
-(h - 1)**2*(h + 8)*(h + 13)/4
Find x such that 3*x**3/7 + 27*x**2 + 180*x/7 - 372/7 = 0.
-62, -2, 1
Suppose 2*c**4/9 - 32*c**3/3 - 100*c**2/9 + 32*c/3 + 98/9 = 0. Calculate c.
-1, 1, 49
Determine y, given that -3*y**2/4 - 39*y/4 + 36 = 0.
-16, 3
What is p in p**4/2 - 5*p**3 - 6*p**2 + 5*p + 11/2 = 0?
-1, 1, 11
Solve -2*j**3/9 + 254*j**2/9 + 1864*j/9 + 536/3 = 0.
-6, -1, 134
Suppose 4*z**2/5 - 6512*z/5 + 2650384/5 = 0. What is z?
814
Factor -2*d**2/9 - 1816*d/9.
-2*d*(d + 908)/9
Find g such that -2*g**2/5 - 32*g/5 = 0.
-16, 0
Solve -4*z**2 + 56*z - 180 = 0.
5, 9
Factor m**4/4 + 15*m**3/4 + 18*m**2 + 28*m.
m*(m + 4)**2*(m + 7)/4
Let 2*b**2/9 + 182*b/9 + 20 = 0. Calculate b.
-90, -1
Solve 3*j**5 + 12*j**4 - 39*j**3 - 84*j**2 + 180*j = 0.
-5, -3, 0, 2
Determine y so that -2*y**3/3 - 2*y**2/3 + 4*y = 0.
-3, 0, 2
Factor -5*u**4 + 5*u**3 + 45*u**2 + 55*u + 20.
-5*(u - 4)*(u + 1)**3
Determine c, given that 2*c**5/5 + 8*c**4 + 36*c**3/5 - 8*c**2 - 38*c/5 = 0.
-19, -1, 0, 1
Factor -2*h**2/9 + 398*h/9 - 788/9.
-2*(h - 197)*(h - 2)/9
Factor 15*f**2 - 8560*f - 2855.
5*(f - 571)*(3*f + 1)
Factor 3*y**3 + 3*y**2 - 288*y - 1188.
3*(y - 11)*(y + 6)**2
Find x, given that 4*x**2 + 48*x + 108 = 0.
-9, -3
Determine j, given that j**4/5 + 8*j**3 + 43*j**2 + 76*j + 204/5 = 0.
-34, -3, -2, -1
Let 4*m**5 - 12*m**4 - 352*m**3 = 0. Calculate m.
-8, 0, 11
Find s such that -2*s**3 + 58*s**2 - 390*s - 450 = 0.
-1, 15
Factor -20*k**2 + 892*k - 5264.
-4*(k - 7)*(5*k - 188)
Factor -4*s**3 + 116*s**2 - 1056*s + 2880.
-4*(s - 12)**2*(s - 5)
Factor -4*f**3/5 + 4*f**2 + 52*f/5 + 28/5.
-4*(f - 7)*(f + 1)**2/5
Let 2*b**3/3 - 1398*b**2 + 977202*b - 227688066 = 0. What is b?
699
Let 5*n**2 - 745*n - 1510 = 0. What is n?
-2, 151
Suppose 2*s**3 + 182*s**2 + 356*s = 0. What is s?
-89, -2, 0
Factor -4*u**4 + 24*u**3 + 60*u**2 - 176*u - 336.
-4*(u - 7)*(u - 3)*(u + 2)**2
Factor t**3 + 13*t**2 + 48*t + 36.
(t + 1)*(t + 6)**2
Factor 5*y**5 + 630*y**4 + 17880*y**3 - 122800*y**2 + 256080*y - 174240.
5*(y - 2)**3*(y + 66)**2
Determine z so that -3*z**4 + 518*z**3 - 3289*z**2 - 5138*z - 1328 = 0.
-1, -1/3, 8, 166
Let 2*o**4 - 8*o**3 - 36*o**2 - 40*o - 14 = 0. What is o?
-1, 7
Factor -3*s**2 - 9*s - 6.
-3*(s + 1)*(s + 2)
Factor 3*n**5/2 + 18*n**4 - 39*n**3/2.
3*n**3*(n - 1)*(n + 13)/2
Suppose 52*f**2/7 - 24*f/7 = 0. What is f?
0, 6/13
Factor -3*c**5 - 33*c**4 - 135*c**3 - 243*c**2 - 162*c.
-3*c*(c + 2)*(c + 3)**3
Determine w so that -w**2/8 + 49*w/8 + 39/2 = 0.
-3, 52
Let 15*y**4 + 100*y**3 + 205*y**2 + 100*y - 60 = 0. What is y?
-3, -2, 1/3
Factor 2*q**2/9 + 152*q/3 + 2888.
2*(q + 114)**2/9
Determine a, given that a**2/3 - a/3 - 4 = 0.
-3, 4
Determine n so that -3*n**5 - 12*n**4 - 3*n**3 + 18*n**2 = 0.
-3, -2, 0, 1
Factor -o**2/4 + 10*o - 100.
-(o - 20)**2/4
Find u, given that u**3/4 + 7*u**2/2 + 13*u/4 = 0.
-13, -1, 0
Suppose 2*b**2/7 - 4*b + 66/7 = 0. What is b?
3, 11
Factor -4*m**2/7 - 300*m/7 - 200.
-4*(m + 5)*(m + 70)/7
Factor -h**5/8 - 7*h**4/8 - 19*h**3/8 - 25*h**2/8 - 2*h - 1/2.
-(h + 1)**3*(h + 2)**2/8
Factor 27*u**2/2 + 102*u - 258.
3*(u - 2)*(9*u + 86)/2
Factor -k**2/4 + 29*k/4 + 31/2.
-(k - 31)*(k + 2)/4
Factor l**4/2 - 3*l**2/2 - l.
l*(l - 2)*(l + 1)**2/2
Factor -3*d**4 - 912*d**3 - 68394*d**2 + 139536*d - 70227.
-3*(d - 1)**2*(d + 153)**2
Factor d**3 - 14*d**2 - 276*d - 936.
(d - 26)*(d + 6)**2
Factor 4*s**2 - 15856*s + 15713296.
4*(s - 1982)**2
Factor -4*z**2 + 256*z - 4096.
-4*(z - 32)**2
What is g in g**2/3 - 68*g/3 - 23 = 0?
-1, 69
Determine k, given that k**2/3 + 2*k/3 - 16 = 0.
-8, 6
Factor -i**3/2 + 35*i**2/2 - 117*i.
-i*(i - 26)*(i - 9)/2
What is x in -x**4 + 3*x**3/2 + 9*x**2/2 + x/2 - 3/2 = 0?
-1, 1/2, 3
Let q**4/2 - 19*q**3 - 471*q**2/2 + 7904*q + 86528 = 0. Calculate q.
-13, 32
Determine o so that 3*o**3 + 23*o**2 + 45*o + 25 = 0.
-5, -5/3, -1
Solve 26*h**3 - 2861*h**2 + 78760*h - 3025 = 0.
1/26, 55
Solve -2*v**5/7 - 2*v**4/7 + 24*v**3/7 - 8*v**2/7 - 32*v/7 = 0.
-4, -1, 0, 2
Suppose -m**5 - 661*m**4 - 108899*m**3 + 109561*m**2 = 0. What is m?
-331, 0, 1
Determine m, given that 2*m**3/15 + 4*m**2/15 - 2*m/15 - 4/15 = 0.
-2, -1, 1
Let -5*c**3 - 1155*c**2 - 2295*c - 1145 = 0. Calculate c.
-229, -1
Solve w**4/5 - 263*w**3/5 + 23229*w**2/5 - 703917*w/5 + 1317006/5 = 0.
2, 87
What is x in -20*x**4 + 55*x**3 + 35*x**2 - 55*x - 15 = 0?
-1, -1/4, 1, 3
Suppose -l**4/4 - l**3/2 + l**2 + 2*l = 0. Calculate l.
-2, 0, 2
Determine r, given that -r**4/9 - 16*r**3/9 = 0.
-16, 0
Determine u so that -u**2 + 21*u/2 - 5 = 0.
1/2, 10
Factor -5*p**2/6 + 55*p/6.
-5*p*(p - 11)/6
Find d, given that -2*d**3/5 - 14*d**2/5 = 0.
-7, 0
Find c, given that -6*c**2/11 + 54*c/11 + 420/11 = 0.
-5, 14
Factor -2*k**2/3 + 116*k/3 + 80.
-2*(k - 60)*(k + 2)/3
Find j such that -5*j**2 - 480*j - 11520 = 0.
-48
Solve -3*v**3 - 129*v**2 - 1488*v - 2484 = 0 for v.
-23, -18, -2
Solve -10*v**4 + 55*v**3 - 105*v**2 + 85*v - 25 = 0.
1, 5/2
Find o, given that 5*o**2 - 50*o = 0.
0, 10
Find s such that 4*s**4 + 80*s**3 + 356*s**2 - 440*s = 0.
-11, -10, 0, 1
Solve 2*d**2 - 22*d/3 - 28/3 = 0.
-1, 14/3
Solve 3*f**3 - 5511*f**2 + 2528169*f + 2533683 = 0.
-1, 919
Determine q, given that -q**2 + 2576*q - 1658944 = 0.
1288
Determine s, given that 4*s**3/3 + 178*s**2/9 - 34*s/9 - 20/3 = 0.
-15, -1/2, 2/3
Factor -3*a**3 + 60*a**2 - 108*a.
-3*a*(a - 18)*(a - 2)
Let 8*g**5 + 2*g**4 - 29*g**3 - 17*g**2 + 6*g = 0. What is g?
-3/2, -1, 0, 1/4, 2
Factor -6*x**3/5 - 76*x**2/5 + 26*x/5.
-2*x*(x + 13)*(3*x - 1)/5
Factor k**3/3 - 37*k**2/3.
k**2*(k - 37)/3
Find s, given that 2*s**3/7 - 10*s**2/7 - 2*s/7 + 10/7 = 0.
-1, 1, 5
Factor -2*f**5/13 - 116*f**4/13 - 138*f**3 - 3248*f**2/13 - 1568*f/13.
-2*f*(f + 1)**2*(f + 28)**2/13
Factor 20*t**4 - 4*t**3 - 20*t**2 + 4*t.
4*t*(t - 1)*(t + 1)*(5*t - 1)
Let -11*p**4/7 - 9*p**3/7 + 13*p**2/7 + 9*p/7 - 2/7 = 0. What is p?
-1, 2/11, 1
Let 20*z**4 + 355*z**3 + 570*z**2 + 155*z - 80 = 0. What is z?
-16, -1, 1/4
Factor 2*t**3/13 + 4752*t**2/13 + 3763584*t/13 + 993586176/13.
2*(t + 792)**3/13
Factor 2*h**2/3 + 80*h/3.
2*h*(h + 40)/3
Find k such that -2*k**3/17 - 8*k**2/17 + 22*k/17 - 12/17 = 0.
-6, 1
Determine c, given that 3*c**5 - 15*c**4 + 12*c**3 + 48*c**2 - 96*c + 48 = 0.
-2, 1, 2
Factor 4*i**3 + 744*i**2 + 46128*i + 953312.
4*(i + 62)**3
Suppose 256*j**5 + 1472*j**4 + 2404*j**3 - 28*j**2 - 2660*j - 1444 = 0. What is j?
-19/8, -1, 1
Suppose 2*h**3 + 498*h**2 + 30750*h - 31250 = 0. Calculate h.
-125, 1
What is q in 380*q**4 - 1612*q**3 + 344*q**2 + 96*q = 0?
-3/19, 0, 2/5, 4
Factor -2*p**3 + 42*p**2 - 216*p.
-2*p*(p - 12)*(p - 9)
Factor -p**4 - 316*p**3 - 942*p**2 - 940*p - 313.
-(p + 1)**3*(p + 313)
Factor -t**2/4 - 3*t - 9.
-(t + 6)**2/4
Determine u so that 5*u**4 + 490*u**3 + 16740*u**2 + 221030*u + 744775 = 0.
-31, -5
Suppose 242*t**3 - 308*t**2 - 320*t - 64 = 0. What is t?
-4/11, 2
Solve -13*w**3 + 131*w**2/4 - 45*w/4 - 9/2 = 0 for w.
-3/13, 3/4, 2
Find m, given that m**2/7 + 1208*m/7 + 364816/7 = 0.
-604
Solve -