1, -1, 15
Factor -2*n**5 + 86*n**4 - 1256*n**3 + 6496*n**2 - 3136*n - 10976.
-2*(n - 14)**3*(n - 2)*(n + 1)
Factor -q**3/5 + 38*q**2/5 + 79*q/5 + 8.
-(q - 40)*(q + 1)**2/5
Factor b**5 - 21*b**3 - 20*b**2.
b**2*(b - 5)*(b + 1)*(b + 4)
Factor -j**2 + 33*j - 32.
-(j - 32)*(j - 1)
Suppose 2*d**4/7 + 12*d**3 + 986*d**2/7 + 600*d + 728 = 0. Calculate d.
-26, -7, -2
Find b, given that -324*b**4 + 180*b**3 + 156*b**2 - 4*b - 8 = 0.
-1/3, 2/9, 1
Factor 5*k**2/2 + 30*k - 160.
5*(k - 4)*(k + 16)/2
Find c such that 5*c**2/4 + 575*c/2 + 66125/4 = 0.
-115
Factor 4*m**4 + 88*m**3 + 672*m**2 + 2048*m + 2048.
4*(m + 2)*(m + 4)*(m + 8)**2
Determine r so that -2*r**5 - 10*r**4 + 2*r**3 + 10*r**2 = 0.
-5, -1, 0, 1
Factor -5*f**3 - 755*f**2 - 28875*f - 28125.
-5*(f + 1)*(f + 75)**2
Suppose 52*o**2/5 - 106*o/5 + 4/5 = 0. Calculate o.
1/26, 2
Solve 2*s**4/5 - 32*s**3/5 + 22*s**2/5 + 128*s/5 - 24 = 0.
-2, 1, 2, 15
Solve -3*s**5 - 66*s**4 - 423*s**3 - 984*s**2 - 624*s = 0.
-13, -4, -1, 0
Determine g, given that 2*g**3 + 102*g**2 + 292*g + 192 = 0.
-48, -2, -1
Factor 4*b**4 + 72*b**3 + 320*b**2 - 72*b - 324.
4*(b - 1)*(b + 1)*(b + 9)**2
Factor 12*a**2/5 + 44*a/5 + 24/5.
4*(a + 3)*(3*a + 2)/5
Suppose -10*a**5/9 + 56*a**4/9 - 20*a**3/3 - 32*a**2/9 + 70*a/9 - 8/3 = 0. Calculate a.
-1, 3/5, 1, 4
Solve 11*b**5/6 + 7*b**4 + 29*b**3/3 + 16*b**2/3 + b/2 - 1/3 = 0.
-1, 2/11
What is z in -z**3/7 + 28*z**2 + 395*z/7 + 198/7 = 0?
-1, 198
What is b in -b**5 + 308*b**4 - 24324*b**3 + 93632*b**2 - 92416*b = 0?
0, 2, 152
Suppose j**3 + 7*j**2 + 11*j + 5 = 0. Calculate j.
-5, -1
Determine k, given that 3*k**3 - 216*k**2 + 4959*k - 35322 = 0.
14, 29
Let -4*w**3/3 + 49*w**2/3 - 152*w/3 + 35/3 = 0. Calculate w.
1/4, 5, 7
Factor 5*c**5 + 5*c**4 - 5*c**3 - 5*c**2.
5*c**2*(c - 1)*(c + 1)**2
What is l in -9*l**5/7 - 25*l**4/7 - 3*l**3 - 3*l**2/7 + 2*l/7 = 0?
-1, 0, 2/9
Factor -3*v**4 - 156*v**3 - 2826*v**2 - 20748*v - 53067.
-3*(v + 7)**2*(v + 19)**2
Factor -4*z**3/5 - 20*z**2 - 504*z/5.
-4*z*(z + 7)*(z + 18)/5
Suppose y**2/2 + 233*y/2 + 231 = 0. Calculate y.
-231, -2
Find y such that -2*y**3/5 + 882*y**2/5 - 96798*y/5 - 97682/5 = 0.
-1, 221
Determine m so that 3*m**5/5 - 3*m**4/5 - 18*m**3 - 222*m**2/5 - 201*m/5 - 63/5 = 0.
-3, -1, 7
Factor 5*i**4 + 110*i**3 - 5*i**2 - 110*i.
5*i*(i - 1)*(i + 1)*(i + 22)
Determine c, given that 2*c**2/13 - 724*c/13 + 65522/13 = 0.
181
Factor c**4 - 3*c**3 - 13*c**2 + 51*c - 36.
(c - 3)**2*(c - 1)*(c + 4)
Let 4*a**2 - 360*a = 0. What is a?
0, 90
Suppose -5*f**5 - 75*f**4 + 750*f**3 + 2650*f**2 + 2775*f + 945 = 0. Calculate f.
-21, -1, 9
Find w such that w**5/8 + 197*w**4/8 - 3*w**3/8 - 593*w**2/8 - 197*w/4 = 0.
-197, -1, 0, 2
Factor 121*x**3 + 2134*x**2 - 788*x + 72.
(x + 18)*(11*x - 2)**2
Factor -2*b**2/7 - 2728*b/7 - 930248/7.
-2*(b + 682)**2/7
Factor 4*m**4 + 192*m**3 - 400*m**2.
4*m**2*(m - 2)*(m + 50)
Find u such that 3*u**3/2 + 3*u**2 - 36*u = 0.
-6, 0, 4
Find h such that -2*h**3 + 74*h**2 - 684*h = 0.
0, 18, 19
Let -9*a**4/7 - 60*a**3/7 - 51*a**2/7 + 24*a - 48/7 = 0. What is a?
-4, 1/3, 1
Factor -5*t**5 + 25*t**4 - 20*t**3.
-5*t**3*(t - 4)*(t - 1)
Solve 2*r**2/3 + 4*r/3 + 2/3 = 0.
-1
Factor -4*q**3 + 104*q**2 + 340*q + 232.
-4*(q - 29)*(q + 1)*(q + 2)
Factor 3*a**4/5 + 3*a**3 - 33*a**2/5 - 99*a/5 - 54/5.
3*(a - 3)*(a + 1)**2*(a + 6)/5
Factor -3*f**2/7 + 159*f/7 - 156/7.
-3*(f - 52)*(f - 1)/7
What is n in 14*n**5/13 + 242*n**4/13 + 1496*n**3/13 + 3992*n**2/13 + 320*n + 896/13 = 0?
-7, -4, -2, -2/7
Factor 3*t**2 + 60*t.
3*t*(t + 20)
Factor 450*z**3 - 1540*z**2 + 1472*z - 256.
2*(5*z - 8)**2*(9*z - 2)
Factor 2*a**2/11 - 236*a/11 + 234/11.
2*(a - 117)*(a - 1)/11
Determine c, given that c**4/4 - 8*c**3 - c**2/4 + 8*c = 0.
-1, 0, 1, 32
Determine j so that -6*j**4/5 + 768*j**3/5 - 23796*j**2/5 - 9984*j - 5070 = 0.
-1, 65
Suppose 3*x**5/8 - 19*x**4/8 - 15*x**3/4 + 63*x**2/4 - 101*x/8 + 21/8 = 0. What is x?
-3, 1/3, 1, 7
Factor 8*k**2 + 84*k - 44.
4*(k + 11)*(2*k - 1)
Determine p, given that -3*p**4 + 3*p**3 + 9*p**2 - 3*p - 6 = 0.
-1, 1, 2
Factor z**3/9 - 63*z**2 + 26696*z/3 + 80656/9.
(z - 284)**2*(z + 1)/9
Suppose 2*t**4/11 - 2*t**3/11 - 6*t**2/11 + 2*t/11 + 4/11 = 0. Calculate t.
-1, 1, 2
Factor -2*d**2/7 + 28*d - 930/7.
-2*(d - 93)*(d - 5)/7
Let -2*m**2/11 - 7114*m/11 - 7112/11 = 0. What is m?
-3556, -1
Factor 3*t**4 + 255*t**3 - 1884*t**2 + 4380*t - 3312.
3*(t - 3)*(t - 2)**2*(t + 92)
Factor -x**2/2 - 9*x/2 + 18.
-(x - 3)*(x + 12)/2
Solve -17*v**5 - 8*v**4 + 51*v**3 + 58*v**2 + 16*v = 0.
-1, -8/17, 0, 2
Find a such that -3*a**4/8 + 15*a**3/4 - 45*a**2/8 - 15*a/4 + 6 = 0.
-1, 1, 2, 8
Solve -3*c**3 + 819*c**2 - 3240*c + 3228 = 0 for c.
2, 269
Solve y**3/2 - 187*y**2/6 + 211*y/3 - 20 = 0.
1/3, 2, 60
Factor 3*y**3 - 32*y**2 + 20*y.
y*(y - 10)*(3*y - 2)
Factor -10*w**3 + 118*w**2 - 176*w - 40.
-2*(w - 10)*(w - 2)*(5*w + 1)
Find k, given that -5*k**3 - 250*k**2 - 2860*k + 6760 = 0.
-26, 2
Factor -t**2/5 + 44*t/5 - 43/5.
-(t - 43)*(t - 1)/5
Find y, given that 15*y**5 + 175*y**4 + 390*y**3 - 1650*y**2 - 5125*y + 1875 = 0.
-5, 1/3, 3
What is k in -3*k**5/5 - 3*k**4/5 + 33*k**3/5 + 27*k**2/5 - 54*k/5 = 0?
-3, -2, 0, 1, 3
Factor -5*m**4 - 25*m**3 + 120*m**2.
-5*m**2*(m - 3)*(m + 8)
Solve 36*r**5 + 296*r**4 - 2240*r**3 - 18944*r**2 - 4096*r = 0 for r.
-8, -2/9, 0, 8
Factor 5*b**5 - 15*b**4 - 120*b**3 - 140*b**2.
5*b**2*(b - 7)*(b + 2)**2
Suppose 5*i**5 + 25*i**4 - 10*i**3 - 140*i**2 - 40*i + 160 = 0. What is i?
-4, -2, 1, 2
Factor 4*a**3 - 4*a**2 - 128*a + 240.
4*(a - 5)*(a - 2)*(a + 6)
Factor -2*k**2/11 - 4626*k/11 - 9244/11.
-2*(k + 2)*(k + 2311)/11
What is t in 3*t**4 - 33*t**3 + 105*t**2 - 75*t = 0?
0, 1, 5
Factor -a**4 + 28*a**3 - 100*a**2 + 96*a.
-a*(a - 24)*(a - 2)**2
Find w, given that -4*w**4/5 + 34*w**3/5 + 12*w**2 + 2*w/5 - 4 = 0.
-1, 1/2, 10
Factor -4*d**2 - 2752*d - 473344.
-4*(d + 344)**2
Determine v, given that 266*v**2 - 526*v - 12 = 0.
-3/133, 2
Factor 5*h**2 + 9710*h + 4714205.
5*(h + 971)**2
Solve 72*t**5 - 570*t**4 + 1089*t**3 + 213*t**2 - 216*t - 48 = 0 for t.
-1/3, -1/4, 1/2, 4
Factor -5*c**2 + 570*c - 16245.
-5*(c - 57)**2
Factor 8*l**2/13 + 2342*l/13 - 586/13.
2*(l + 293)*(4*l - 1)/13
What is q in -q**4 - 109*q**3 - 2915*q**2 + 3025*q = 0?
-55, 0, 1
Solve -2*f**3/13 - 3156*f**2/13 - 1660056*f/13 - 291063152/13 = 0 for f.
-526
Determine x, given that 4*x**5 - 30*x**4 + 38*x**3 + 116*x**2 - 192*x + 64 = 0.
-2, 1/2, 1, 4
Solve -17*m**2/2 - 3*m = 0 for m.
-6/17, 0
Suppose -4*g**4 + 16*g**3 + 8*g**2 - 48*g - 36 = 0. What is g?
-1, 3
Let -10*y**4/9 - 22*y**3/3 - 92*y**2/9 + 16*y/3 = 0. What is y?
-4, -3, 0, 2/5
Factor -2*d**2 - 704*d - 702.
-2*(d + 1)*(d + 351)
Factor -w**4/7 + 2*w**3/7 + 63*w**2 - 126*w.
-w*(w - 21)*(w - 2)*(w + 21)/7
Factor 3*n**2 - 12408*n + 12829872.
3*(n - 2068)**2
Determine r so that -2*r**2/11 + 58*r/11 = 0.
0, 29
Factor -2*d**3/5 + 16*d**2/5 - 8*d + 32/5.
-2*(d - 4)*(d - 2)**2/5
Determine t so that 3*t**5/5 - 603*t**4/5 - 609*t**3/5 + 603*t**2/5 + 606*t/5 = 0.
-1, 0, 1, 202
Factor -o**2/6 - 11*o/3 - 35/2.
-(o + 7)*(o + 15)/6
Suppose 2*t**2/11 - 28*t/11 + 26/11 = 0. What is t?
1, 13
Suppose -o**5/2 - 117*o**4/2 + 60*o**3 + 118*o**2 = 0. What is o?
-118, -1, 0, 2
Solve -2*r**4 + 8*r**3 + 12*r**2 - 8*r - 10 = 0 for r.
-1, 1, 5
Find d such that -35*d**3/3 - 40*d**2/3 + 695*d/3 + 100/3 = 0.
-5, -1/7, 4
Factor 2*g**2/5 + 2*g - 28/5.
2*(g - 2)*(g + 7)/5
Let 11*o**4/2 + 19*o**3/2 + 4*o**2 = 0. What is o?
-1, -8/11, 0
Determine t, given that 15*t**2/2 - 19*t/2 - 17 = 0.
-1, 34/15
Factor 28*y**4/3 + 32*y**3/3 + 4*y**2/3.
4*y**2*(y + 1)*(7*y + 1)/3
Factor g**3 - 30*g**2 + 29*g.
g*(g - 29)*(g - 1)
Solve -5*j**2 - 75*j - 250 = 0.
-10, -5
Determine j so that j**3/4 + 11*j**2/4 + 7*j = 0.
-7, -4, 0
What is o in 4*o**3 - 96*o**2 - 2500*o - 2400 = 0?
-15, -1, 40
Factor -2*q**2/15 - 142*q/15 - 44.
-2*(q + 5)*(q + 66)/15
Factor -2*u**2/9 + 1660*u/3 - 344450.
-2*(u - 1245)**2/9
Find t, given that -9*t**4 - 69*t**3 - 177*t**2 - 183*t - 66 = 0.
-11/3, -2, -1
What is c in c**2/3 + 5656*c/3 + 7997584/3 = 0?
-2828
What is n in -2*n**3/9 + 514*n**2/9 - 7840*n/9 + 30848/9 = 0?
8, 241
Let -2*p**2 - 84*p - 304 = 0. What is p?
-38, -4
Suppose -g**3/4 + 7183*g**2/4 - 3223820*g - 3225616 = 0. What is g?
-1, 3592
Factor -o**4/8 - 1333*o**3/8 - 443555*o