 + 207)/5
Suppose 20*n**2 - 14*n - 6 = 0. Calculate n.
-3/10, 1
Determine o so that o**4 - 3*o**3 + 3*o**2 - o = 0.
0, 1
Factor 52*b**3/17 - 166*b**2/17 - 96*b/17.
2*b*(2*b + 1)*(13*b - 48)/17
Determine q, given that -2*q**5/9 - 224*q**4/3 - 664*q**3/9 + 2012*q**2/9 + 74*q - 1340/9 = 0.
-335, -2, -1, 1
Factor -2*h**3 + 26*h**2 - 78*h + 54.
-2*(h - 9)*(h - 3)*(h - 1)
Let -3*o**3 - 66*o**2 - 255*o = 0. What is o?
-17, -5, 0
Factor 8*t**2 - 260*t.
4*t*(2*t - 65)
What is i in 12*i**5 - 28*i**4 - 212*i**3/3 - 36*i**2 - 16*i/3 = 0?
-1, -1/3, 0, 4
Determine o, given that 3*o**4 - 3*o**3 - 15*o**2 - 9*o = 0.
-1, 0, 3
What is b in 3*b**3 + 1338*b**2 - 2685*b + 1344 = 0?
-448, 1
Let 4*l**5 - 8*l**4 - 56*l**3 + 96*l**2 + 180*l - 216 = 0. Calculate l.
-3, -2, 1, 3
Factor -2*f**2/7 + 208*f/7 - 5408/7.
-2*(f - 52)**2/7
Factor -2*w**2/11 + 14*w/11 + 16/11.
-2*(w - 8)*(w + 1)/11
Let 3*p**4 - 21*p**3 - 54*p**2 = 0. Calculate p.
-2, 0, 9
Factor -27*j**3 - 303*j**2 + 636*j + 156.
-3*(j - 2)*(j + 13)*(9*j + 2)
Let -2*f**2 - 30*f + 68 = 0. What is f?
-17, 2
Let -z**2 + 45*z/4 - 11/4 = 0. Calculate z.
1/4, 11
Solve 5*j**4 - 650*j**3 + 17625*j**2 + 227500*j + 612500 = 0 for j.
-5, 70
Factor b**3/7 + 17*b**2 + 4015*b/7 + 27225/7.
(b + 9)*(b + 55)**2/7
Determine i so that -i**3 - 7*i**2 + 744*i = 0.
-31, 0, 24
Factor f**2/10 + 169*f/10 + 84/5.
(f + 1)*(f + 168)/10
Find k such that -k**3 + 25*k**2 + 82*k + 56 = 0.
-2, -1, 28
Factor -b**2/5 + 2*b + 39/5.
-(b - 13)*(b + 3)/5
What is o in -o**5/2 + o**4 + 29*o**3/2 - 15*o**2 = 0?
-5, 0, 1, 6
Factor g**4/5 + 13*g**3/5 - 109*g**2/5 + 19*g.
g*(g - 5)*(g - 1)*(g + 19)/5
Factor -21*j**2/4 - 369*j/4 + 195/2.
-3*(j - 1)*(7*j + 130)/4
Suppose 4*y**3/5 + 186*y**2/5 + 764*y/5 + 336/5 = 0. What is y?
-42, -4, -1/2
Solve -x**4/2 + 41*x**3 - 317*x**2/2 + 196*x - 78 = 0 for x.
1, 2, 78
Factor u**2/4 - 107*u/2 + 11449/4.
(u - 107)**2/4
Suppose -2*p**3/5 - 124*p**2/5 - 1442*p/5 - 4704/5 = 0. Calculate p.
-48, -7
Suppose 2*i**3/3 + 194*i**2 + 14586*i + 204490/3 = 0. What is i?
-143, -5
Factor c**2/3 - 12*c - 76/3.
(c - 38)*(c + 2)/3
What is l in 2*l**3/7 + 2902*l**2/7 + 1051248*l/7 - 1054152/7 = 0?
-726, 1
Determine t, given that 3*t**2/2 + 495*t + 984 = 0.
-328, -2
Factor p**2/2 - 375*p + 749/2.
(p - 749)*(p - 1)/2
Factor -5*f**3 - 255*f**2 - 4335*f - 24565.
-5*(f + 17)**3
Factor -3*r**3 + 1911*r**2 - 303369*r - 305283.
-3*(r - 319)**2*(r + 1)
Factor 3*h**2 - 594*h - 1809.
3*(h - 201)*(h + 3)
Factor -5*w**5 + 25*w**4 - 30*w**3 - 20*w**2 + 40*w.
-5*w*(w - 2)**3*(w + 1)
Determine j, given that -2*j**2/7 - 7212*j/7 - 6501618/7 = 0.
-1803
Factor 5*p**2 + 2330*p + 271445.
5*(p + 233)**2
Let -6860*u**5 + 4165*u**4 + 4935*u**3 - 4670*u**2 + 1300*u - 120 = 0. What is u?
-1, 2/7, 3/4
Factor r**3/4 - 101*r**2/4 + 579*r/4 - 855/4.
(r - 95)*(r - 3)**2/4
Find y, given that y**5/8 + 23*y**4/8 + 183*y**3/8 + 545*y**2/8 + 26*y - 120 = 0.
-8, -5, -3, 1
Factor -y**4 - 7*y**3 + 49*y**2 + 55*y.
-y*(y - 5)*(y + 1)*(y + 11)
Factor 2*k**4/7 + 12*k**3/7 - 24*k**2/7 - 20*k + 150/7.
2*(k - 3)*(k - 1)*(k + 5)**2/7
Let -5*r**3 + 2135*r**2 + 6440*r + 4300 = 0. What is r?
-2, -1, 430
Factor 14*z**3/3 - 52*z**2/3 + 26*z/3 + 4.
2*(z - 3)*(z - 1)*(7*z + 2)/3
Solve -3*g**4 + 30*g**3 + 201*g**2 + 348*g + 180 = 0 for g.
-2, -1, 15
Find l such that -2*l**2/5 + 46*l/5 + 48/5 = 0.
-1, 24
Solve 5*p**2 + 80*p + 320 = 0.
-8
Determine r so that r**3/5 - 3*r/5 - 2/5 = 0.
-1, 2
Solve -f**2 + 70*f + 71 = 0.
-1, 71
What is c in 5*c**5 - 5*c**4/2 - 20*c**3 + 10*c**2 = 0?
-2, 0, 1/2, 2
Let -b**2/3 + 99*b = 0. What is b?
0, 297
Find r, given that -2*r**4/7 - 10*r**3/7 - 12*r**2/7 + 8*r/7 + 16/7 = 0.
-2, 1
Factor -p**4 + 3*p**3 - p**2 - 3*p + 2.
-(p - 2)*(p - 1)**2*(p + 1)
Determine s, given that -72*s**4/7 + 128*s**3/7 - 58*s**2/7 - 2*s/7 + 4/7 = 0.
-2/9, 1/2, 1
Find q, given that 27*q**5 - 243*q**4 - 72*q**3 + 712*q**2 - 592*q + 144 = 0.
-2, 2/3, 9
Factor -13*f**5/2 - 41*f**4/6 - f**3/3.
-f**3*(f + 1)*(39*f + 2)/6
What is q in -q**2/5 - 36*q/5 - 7 = 0?
-35, -1
Determine n so that 18957316*n**2/5 - 17416*n/5 + 4/5 = 0.
1/2177
Let -2*p**2/11 + 186*p/11 - 184/11 = 0. Calculate p.
1, 92
Find q such that -35*q**4/2 + 80*q**3 - 55*q**2/2 - 125*q = 0.
-1, 0, 2, 25/7
Factor z**5 - 3*z**4 - 4*z**3.
z**3*(z - 4)*(z + 1)
Suppose -165*d**4/2 + 329*d**3 + 503*d**2/2 - 1482*d - 18 = 0. Calculate d.
-2, -2/165, 3
Factor 3*g**3/4 - 129*g**2/4 - 267*g/4 - 135/4.
3*(g - 45)*(g + 1)**2/4
Factor 7*y**4 + 625*y**3 + 15466*y**2 + 66108*y + 17640.
(y + 5)*(y + 42)**2*(7*y + 2)
Factor 4*q**3/7 + 24*q**2/7 + 12*q/7 - 40/7.
4*(q - 1)*(q + 2)*(q + 5)/7
Suppose 4*r**2/5 - 592*r/5 + 21904/5 = 0. What is r?
74
Find b, given that -10*b**5/9 + 104*b**4/9 - 40*b**3/9 = 0.
0, 2/5, 10
Let 5*z**3 + 510*z**2 + 1980*z + 1960 = 0. Calculate z.
-98, -2
Let -4*u**2 + 5844*u + 5848 = 0. What is u?
-1, 1462
Factor r**2 - 3*r + 2.
(r - 2)*(r - 1)
Solve 3*w**4 + 12*w**3 - 36*w**2 - 192*w - 192 = 0 for w.
-4, -2, 4
Factor -22*b**4 - 26*b**3 - 4*b**2.
-2*b**2*(b + 1)*(11*b + 2)
Factor b**2 - 9*b - 112.
(b - 16)*(b + 7)
Find b, given that -3*b**2 + 6*b + 72 = 0.
-4, 6
Factor 5*h**2 - 290*h - 915.
5*(h - 61)*(h + 3)
What is x in -4*x**5 + 52*x**4 + 56*x**3 = 0?
-1, 0, 14
Factor -2*f**4 - 4*f**3 + 72*f**2 + 324*f + 378.
-2*(f - 7)*(f + 3)**3
What is t in -t**3 + 718*t**2 - 128881*t = 0?
0, 359
Factor 3*x**5 + 5*x**4 - 4*x**3 - 4*x**2.
x**2*(x - 1)*(x + 2)*(3*x + 2)
What is t in -5*t**5 + 95*t**4 - 490*t**3 + 400*t**2 = 0?
0, 1, 8, 10
Solve -3*r**3/8 - 81*r**2 - 4374*r = 0.
-108, 0
Determine j, given that j**4 + 5*j**3 - j**2 - 17*j + 12 = 0.
-4, -3, 1
Determine g, given that 5*g**5 - 15*g**4 + 20*g**2 = 0.
-1, 0, 2
Factor v**4 - 24*v**3 + 131*v**2 - 204*v.
v*(v - 17)*(v - 4)*(v - 3)
What is r in -2*r**3/5 + 106*r**2/5 + 218*r/5 + 22 = 0?
-1, 55
Find a, given that 4*a**5 + 16*a**4 - 168*a**3 - 1296*a**2 - 3132*a - 2592 = 0.
-3, 8
Determine k so that 9*k**4/5 + 6*k**3 + 33*k**2/5 + 12*k/5 = 0.
-4/3, -1, 0
Let -2*h**2/7 - 728*h - 463736 = 0. What is h?
-1274
Factor 2*b**3 + 4*b**2 + 2*b.
2*b*(b + 1)**2
Factor 10*q**4 + 25*q**3 + 15*q**2.
5*q**2*(q + 1)*(2*q + 3)
Find f such that -5*f**4 + 5*f**3 + 45*f**2 + 55*f + 20 = 0.
-1, 4
Suppose -r**2/4 - 315*r/2 - 99225/4 = 0. Calculate r.
-315
Determine z, given that 40*z**2 + 142*z - 38 = 0.
-19/5, 1/4
Solve 5*j**3 - 65*j**2 + 240*j - 180 = 0 for j.
1, 6
Let -5*p**3 - 35*p**2 + 105*p + 135 = 0. Calculate p.
-9, -1, 3
Find w, given that -4*w**2 + 348*w = 0.
0, 87
Factor 2*i**2/9 + 832*i/9.
2*i*(i + 416)/9
Suppose -15*d**4 + 321*d**3 - 1611*d**2 - 1221*d + 726 = 0. What is d?
-1, 2/5, 11
Factor -2*w**3/11 + 42*w**2/11 + 2*w/11 - 42/11.
-2*(w - 21)*(w - 1)*(w + 1)/11
Let 9*s**4 - 376*s**3 + 5100*s**2 - 21888*s - 5120 = 0. Calculate s.
-2/9, 10, 16
Suppose 2*k**3/7 + 16*k**2/7 + 10*k/7 - 4 = 0. Calculate k.
-7, -2, 1
Factor -s**4 + 40*s**3 - 216*s**2 - 7776*s + 81648.
-(s - 18)**3*(s + 14)
Factor -5*d**3/3 + 980*d + 27440/3.
-5*(d - 28)*(d + 14)**2/3
Factor 3*w**3/2 + 1209*w**2/2 + 2991*w + 2388.
3*(w + 1)*(w + 4)*(w + 398)/2
Suppose x**2 - 32*x - 105 = 0. What is x?
-3, 35
What is w in -3*w**2 + 3342*w - 930747 = 0?
557
Factor 3*b**3 + 111*b**2 - 1272*b - 1380.
3*(b - 10)*(b + 1)*(b + 46)
Factor 2*w**3/13 - 232*w**2/13 - 470*w/13 - 236/13.
2*(w - 118)*(w + 1)**2/13
Factor v**2 + 52*v + 660.
(v + 22)*(v + 30)
Find x, given that -2*x**2/5 - 896*x/5 - 100352/5 = 0.
-224
Let -p**2 + 97*p + 98 = 0. Calculate p.
-1, 98
Determine i so that i**2 + 95*i + 94 = 0.
-94, -1
Find u, given that 3*u**4/4 - 3*u**3/4 - 9*u**2/2 + 3*u + 6 = 0.
-2, -1, 2
Find q, given that 5*q**3 - 3580*q**2 + 644385*q - 1274490 = 0.
2, 357
Suppose 4*d**2 - 116*d = 0. What is d?
0, 29
Factor 68*p**3 - 552*p**2 - 1296*p + 160.
4*(p - 10)*(p + 2)*(17*p - 2)
Find a, given that -2*a**2/7 + 368*a/7 = 0.
0, 184
Factor -a**3/5 + 3*a**2/5 + 2*a.
-a*(a - 5)*(a + 2)/5
Factor 4*x**3/3 + 52*x**2/3 + 224*x/3 + 320/3.
4*(x + 4)**2*(x + 5)/3
Factor 6*j**3/11 + 10584*j**2/11 + 6223392*j/11 + 1219784832/11.
6*(j + 588)**3/11
Factor -4*h**3 - 8508*h**2 - 4528380*h - 4519876.
-4*(h + 1)*(h + 1063)**2
Factor 2*x**2/23 - 124*x/23 - 390/23.
2*(x - 65)*(x + 3)/23
Let 14*u**2/9 - 82*u/9 - 760/9 = 0. Calculate u.
-5, 76/7
Factor 4*g**3 - 16*g**2 - 116*