1)**2/5
Solve -r**4 - 22*r**3 - 105*r**2 - 144*r = 0 for r.
-16, -3, 0
Solve 5*k**2/2 - 19*k + 28 = 0 for k.
2, 28/5
Find m such that -m**2/4 + 10*m - 100 = 0.
20
Find l such that -2*l**2/5 + 268*l/5 - 528/5 = 0.
2, 132
Determine j so that -j**2 + 5*j + 14 = 0.
-2, 7
Factor -3*w**4 + 120*w**3.
-3*w**3*(w - 40)
Factor -3*u**3 - 93*u**2 - 309*u + 405.
-3*(u - 1)*(u + 5)*(u + 27)
Solve -3*d**2 - 69*d - 66 = 0 for d.
-22, -1
Solve 20*z**4/3 + 295*z**3/3 - 395*z**2/3 + 80*z/3 = 0 for z.
-16, 0, 1/4, 1
Let z**5/9 - 2*z**4 - 164*z**3/9 - 94*z**2/3 + 163*z/9 + 100/3 = 0. Calculate z.
-4, -3, -1, 1, 25
Factor n**5/5 - 6*n**4/5 + 4*n**3/5 + 6*n**2/5 - n.
n*(n - 5)*(n - 1)**2*(n + 1)/5
Factor 3*i**3 + 48*i**2 - 87*i - 612.
3*(i - 4)*(i + 3)*(i + 17)
Determine m so that -2*m**2/9 - 352*m/9 - 896/3 = 0.
-168, -8
Factor 2*p**5/5 - 6*p**4/5 + 6*p**3/5 - 2*p**2/5.
2*p**2*(p - 1)**3/5
Factor -3*i**2 + 372*i - 11532.
-3*(i - 62)**2
Factor 3*j**4 - 21*j**3 - 117*j**2 + 189*j + 810.
3*(j - 10)*(j - 3)*(j + 3)**2
Solve -8*m**5/7 + 72*m**4 - 9082*m**3/7 + 35620*m**2/7 - 29058*m/7 + 6728/7 = 0.
1/2, 4, 29
Solve 15*j**3/4 + 213*j**2/4 + 21*j/2 = 0 for j.
-14, -1/5, 0
Suppose -5*b**3 + 109*b**2 + 28*b - 132 = 0. What is b?
-6/5, 1, 22
Find m such that 3*m**5 + 110*m**4 + 368*m**3 + 162*m**2 - 99*m = 0.
-33, -3, -1, 0, 1/3
Solve -k**5/5 - 33*k**4/5 - 254*k**3/5 + 322*k**2/5 + 51*k - 289/5 = 0.
-17, -1, 1
Suppose -9*g**4/2 + 29*g**3/2 + 582*g**2 - 130*g = 0. Calculate g.
-10, 0, 2/9, 13
Factor -4*q**3 + 2056*q**2 - 266240*q + 524288.
-4*(q - 256)**2*(q - 2)
Suppose 2*z**2 + 19408*z + 47083808 = 0. What is z?
-4852
Let -4*l**3 - 128*l**2 - 448*l = 0. What is l?
-28, -4, 0
Let 2*i**3/13 + 24*i**2/13 + 54*i/13 - 80/13 = 0. Calculate i.
-8, -5, 1
Factor d**2 + 2152*d + 1157776.
(d + 1076)**2
Find p such that 4*p**2 + 108*p + 200 = 0.
-25, -2
Factor q**2/2 + 6*q + 18.
(q + 6)**2/2
Suppose -k**2/5 + k/5 = 0. Calculate k.
0, 1
Factor -2*a**4/5 - 16*a**3/5 - 26*a**2/5 - 12*a/5.
-2*a*(a + 1)**2*(a + 6)/5
Solve 8*g**3 + 76*g**2 + 100*g + 32 = 0.
-8, -1, -1/2
Factor -x**3 - 229*x**2/3 - 296*x/3 + 100.
-(x + 2)*(x + 75)*(3*x - 2)/3
Solve -21*l**3 + 288*l**2 + 84*l = 0.
-2/7, 0, 14
Factor -2*h**3/13 + 2088*h**2/13 - 544968*h/13.
-2*h*(h - 522)**2/13
Suppose 12*a**4 - 123*a**3 - 99*a**2 = 0. Calculate a.
-3/4, 0, 11
Find o, given that 3*o**5 - 18*o**4/5 - 162*o**3/5 + 168*o**2/5 + 243*o/5 - 54/5 = 0.
-3, -1, 1/5, 2, 3
Determine x, given that 27*x**4/7 + 15*x**3/7 - 12*x**2/7 = 0.
-1, 0, 4/9
Determine t, given that 2*t**2 + 7502*t + 7500 = 0.
-3750, -1
Find n such that -n**4 + 32*n**3 + n**2 - 32*n = 0.
-1, 0, 1, 32
Determine o so that 3*o**5 - 97*o**4 - 277*o**3 - 107*o**2 + 70*o = 0.
-2, -1, 0, 1/3, 35
Determine i so that -2*i**3 + 12*i**2 + 72*i + 80 = 0.
-2, 10
Determine h so that -h**2 - 11*h + 102 = 0.
-17, 6
Find y such that -2*y**2 - 15680*y - 30732800 = 0.
-3920
Factor -o**2 + 29*o - 28.
-(o - 28)*(o - 1)
Solve -4*o**2 + 16*o + 84 = 0.
-3, 7
Factor -2*q**2/7 + 46*q/7 + 264.
-2*(q - 44)*(q + 21)/7
Suppose 32*p**3/13 - 64*p**2/13 - 2*p/13 + 4/13 = 0. Calculate p.
-1/4, 1/4, 2
Factor 2*g**2 - g/5.
g*(10*g - 1)/5
Factor 5*v**5 + 1395*v**4 + 4155*v**3 + 4145*v**2 + 1380*v.
5*v*(v + 1)**3*(v + 276)
What is d in -5*d**4 + 399*d**3 - 1460*d**2 + 1212*d + 304 = 0?
-1/5, 2, 76
What is u in 88*u**3/3 - 175*u**2/3 + 86*u/3 + 1/3 = 0?
-1/88, 1
Factor -h**4 + 100*h**3 + 766*h**2 - 1828*h + 963.
-(h - 107)*(h - 1)**2*(h + 9)
Factor i**3/5 - 148*i**2/5 - 299*i/5 - 30.
(i - 150)*(i + 1)**2/5
Suppose x**2/3 - 13*x/3 + 4 = 0. What is x?
1, 12
What is d in d**2/2 + 7*d + 12 = 0?
-12, -2
Factor 2*t**2/11 + 2422*t/11 - 2424/11.
2*(t - 1)*(t + 1212)/11
Determine d so that -4*d**2/7 + 141*d/7 - 5 = 0.
1/4, 35
Factor -i**4 + 13*i**3 + 14*i**2.
-i**2*(i - 14)*(i + 1)
What is t in 2*t**4 - 10*t**3 - 84*t**2 - 152*t - 80 = 0?
-2, -1, 10
Factor 5*h**2 + 40*h + 60.
5*(h + 2)*(h + 6)
Determine d, given that -3*d**3 + 3*d**2 + 3*d - 3 = 0.
-1, 1
Suppose -4*x**4 - 92*x**3 - 672*x**2 - 1280*x + 2048 = 0. What is x?
-8, 1
What is l in 10*l**5/9 - 4*l**4/9 - 40*l**3/3 - 112*l**2/9 + 64*l/9 = 0?
-2, 0, 2/5, 4
Factor 2*s**2 + 58*s + 56.
2*(s + 1)*(s + 28)
What is s in -4*s**2 - 3632*s - 824464 = 0?
-454
Let 2*k**3 - 26*k + 24 = 0. Calculate k.
-4, 1, 3
Let -8*k**2 - 40*k - 50 = 0. Calculate k.
-5/2
Factor o**3/10 + 2*o**2 + 77*o/10 - 121/5.
(o - 2)*(o + 11)**2/10
Factor -2*y**3 - 60*y**2 - 112*y.
-2*y*(y + 2)*(y + 28)
Let -3*w**4/7 - 96*w**3 - 38298*w**2/7 - 10656*w - 36963/7 = 0. What is w?
-111, -1
Factor 3*c**2/8 + 891*c/4 + 1779/8.
3*(c + 1)*(c + 593)/8
Factor 5*l**4 + 2490*l**3 - 7500*l**2 + 7510*l - 2505.
5*(l - 1)**3*(l + 501)
Let -2*w**4 - 46*w**3 - 274*w**2 + 22*w + 1452 = 0. What is w?
-11, -3, 2
Let -z**4/2 + 2*z**3 + z**2/2 - 8*z + 6 = 0. What is z?
-2, 1, 2, 3
Determine t so that -2*t**2/5 + 98*t + 4048/5 = 0.
-8, 253
Factor -4*b**2/5 + 92*b/5 + 792.
-4*(b - 45)*(b + 22)/5
Suppose 4*l**3 - 1516*l**2 - 16*l + 6064 = 0. What is l?
-2, 2, 379
Determine l so that -l**5 + 14*l**4 + 108*l**3 + 230*l**2 + 197*l + 60 = 0.
-3, -1, 20
Factor -26*z**5 - 1010*z**4 + 156*z**3.
-2*z**3*(z + 39)*(13*z - 2)
Factor -2*h**2 + 16544*h - 34212992.
-2*(h - 4136)**2
Factor -f**4/4 - 9*f**3/4 + 49*f**2/4 - 39*f/4.
-f*(f - 3)*(f - 1)*(f + 13)/4
Factor i**3 + i**2 - 25*i - 25.
(i - 5)*(i + 1)*(i + 5)
What is o in 3*o**2 + 15*o - 108 = 0?
-9, 4
Factor -b**2/4 - 241*b/4.
-b*(b + 241)/4
Factor 2*q**3 + 216*q**2 + 7776*q + 93312.
2*(q + 36)**3
Let -2*y**3/3 + 4*y**2/3 - 2*y/3 = 0. Calculate y.
0, 1
Factor -9*w**3/8 - 255*w**2/8 - 209*w + 242.
-(w - 1)*(3*w + 44)**2/8
Factor -i**2 + 11*i/2 - 5/2.
-(i - 5)*(2*i - 1)/2
Determine n so that -2*n**4/11 + 84*n**3/11 - 78*n**2/11 - 164*n/11 = 0.
-1, 0, 2, 41
Suppose p**4 - 54*p**3 + 51*p**2 + 106*p = 0. What is p?
-1, 0, 2, 53
Find b such that -2*b**4/5 + 22*b**3/5 - 8*b**2 - 88*b/5 + 192/5 = 0.
-2, 2, 3, 8
Let 4*b**3 - 12*b**2 + 8*b = 0. Calculate b.
0, 1, 2
Factor 4*n**3 + 48*n**2 + 180*n + 216.
4*(n + 3)**2*(n + 6)
Let -16*z**2/7 - 1324*z/7 - 984/7 = 0. What is z?
-82, -3/4
Factor -2*q**4 - 17*q**3 + 9*q**2.
-q**2*(q + 9)*(2*q - 1)
Factor 26*j**2/17 + 96*j/17 + 70/17.
2*(j + 1)*(13*j + 35)/17
Suppose z**2/4 - 119*z/4 + 339/2 = 0. What is z?
6, 113
Factor l**2/5 + 132*l/5 + 52.
(l + 2)*(l + 130)/5
Let -j**4/4 - 3*j**3/4 + j**2 = 0. Calculate j.
-4, 0, 1
Factor r**4 + 260*r**3 + 767*r**2 - 1028*r.
r*(r - 1)*(r + 4)*(r + 257)
Factor -2*w**5/9 + 2*w**4/3 - 2*w**3/3 + 2*w**2/9.
-2*w**2*(w - 1)**3/9
Find m, given that -4*m**4 - 28*m**3 + 148*m**2 + 604*m - 720 = 0.
-9, -4, 1, 5
Factor -2*u**3/13 + 232*u**2/13 - 6728*u/13.
-2*u*(u - 58)**2/13
What is r in -15*r**5 - 84*r**4 - 159*r**3 - 102*r**2 + 12*r + 24 = 0?
-2, -1, 2/5
Factor s**3/3 - 152*s**2/3 + 149*s/3 + 302/3.
(s - 151)*(s - 2)*(s + 1)/3
Factor 5*c**3 + 130*c**2 - 280*c.
5*c*(c - 2)*(c + 28)
Factor -2*h**3/3 + 38*h**2/3 - 224*h/3 + 128.
-2*(h - 8)**2*(h - 3)/3
Find q such that -10*q**3 - 64*q**2 - 58*q + 60 = 0.
-5, -2, 3/5
Factor 3*b**5 + 6*b**4 - 3*b**3 - 6*b**2.
3*b**2*(b - 1)*(b + 1)*(b + 2)
Factor -5*i**4 + 50*i**3 - 105*i**2 - 20*i + 140.
-5*(i - 7)*(i - 2)**2*(i + 1)
Factor 3*v**5 + 12*v**4 + 9*v**3.
3*v**3*(v + 1)*(v + 3)
Factor y**3 + 35*y**2 + 264*y.
y*(y + 11)*(y + 24)
Factor m**2/2 + 71*m + 141/2.
(m + 1)*(m + 141)/2
Find c, given that 14*c**3/3 + 22*c**2 - 104*c/3 + 8 = 0.
-6, 2/7, 1
Determine o so that -3*o**2/4 + 3009*o/4 = 0.
0, 1003
Suppose 364*l**3 - 580*l**2 + 248*l - 32 = 0. What is l?
2/7, 4/13, 1
Suppose -j**4 - 3*j**3 + 9*j**2 - 5*j = 0. What is j?
-5, 0, 1
What is v in -5*v**2/4 + 1205*v/4 - 300 = 0?
1, 240
Find d, given that d**5/2 + 6*d**4 + 33*d**3/2 - 17*d**2 - 42*d + 36 = 0.
-6, -2, 1
Factor -n**3/4 + n**2 + 3*n.
-n*(n - 6)*(n + 2)/4
Factor -361*l**3 + 209*l**2 + 136*l + 16.
-(l - 1)*(19*l + 4)**2
Factor -2*p**3 + 278*p**2/3 - 3266*p/3 + 1058/3.
-2*(p - 23)**2*(3*p - 1)/3
Find k, given that k**4/8 + 3*k**3 - 39*k**2/4 + 10*k - 27/8 = 0.
-27, 1
Factor 4*g**2 + 20*g - 96.
4*(g - 3)*(g + 8)
What is p in 28*p**5 - 22*p**4 - 24*p**3 + 22*p**2 - 4*p = 0?
-1, 0, 2/7, 1/2, 1
Factor -x**2/3 - 209*x/3 - 138.
-(x + 2)*(x + 207)/3
Factor d**4/2 - 242*d**3 + 29039*d**2 + 58806*d + 59049/2.
(d - 243)**2*(d + 1)*