 11)**2/4
Factor -4*a**3 + 336*a**2 + 28224*a + 439040.
-4*(a - 140)*(a + 28)**2
Suppose 621*l**5 - 1422*l**4 + 6*l**3 + 624*l**2 + 165*l + 6 = 0. Calculate l.
-1/3, -1/23, 1, 2
Find s, given that -2*s**5 + 18*s**4 - 46*s**3 + 22*s**2 + 48*s - 40 = 0.
-1, 1, 2, 5
Factor -d**2 - 23*d - 76.
-(d + 4)*(d + 19)
Factor -3*q**4 + 276*q**3 - 1023*q**2 - 2886*q - 1584.
-3*(q - 88)*(q - 6)*(q + 1)**2
Factor -3*c**2/7 - 783*c/7 + 786/7.
-3*(c - 1)*(c + 262)/7
Suppose 2*a**2 - 216*a - 218 = 0. What is a?
-1, 109
Find q, given that 3*q**2 + 261*q = 0.
-87, 0
Solve -f**3/5 - 19*f**2/5 + 30*f = 0.
-25, 0, 6
Factor l**2/5 - 172*l/5 + 7396/5.
(l - 86)**2/5
Determine b so that 136*b**3 + 84*b**2 - 196*b - 24 = 0.
-3/2, -2/17, 1
Factor i**3/7 + 5*i**2 - 328*i/7 + 688/7.
(i - 4)**2*(i + 43)/7
Solve 2*y**3 + 24*y**2 - 170*y - 672 = 0.
-16, -3, 7
Determine n so that -2*n**4/9 - 52*n**3/3 + 2*n**2/9 + 52*n/3 = 0.
-78, -1, 0, 1
Factor -n**3/7 + 6*n**2/7 + 501*n/7 + 494/7.
-(n - 26)*(n + 1)*(n + 19)/7
Suppose -14*y**3/9 - 458*y**2/9 - 316*y/9 + 128/9 = 0. What is y?
-32, -1, 2/7
Factor -o**5/2 - 403*o**4/2 - 19997*o**3 + 61205*o**2 - 123221*o/2 + 41209/2.
-(o - 1)**3*(o + 203)**2/2
Factor 25*x**2 - 115*x - 50.
5*(x - 5)*(5*x + 2)
Factor 2*b**4/5 + 16*b**3/5 - 18*b**2/5.
2*b**2*(b - 1)*(b + 9)/5
Factor 2*y**5/9 - 40*y**4/9 + 154*y**3/9 + 484*y**2/9.
2*y**2*(y - 11)**2*(y + 2)/9
Determine y so that 2*y**4/3 - 32*y**3/3 + 46*y**2/3 + 152*y/3 - 56 = 0.
-2, 1, 3, 14
Factor 4*k**3 + 196*k**2.
4*k**2*(k + 49)
Factor -4*n**3 + 120*n**2 - 668*n - 792.
-4*(n - 22)*(n - 9)*(n + 1)
Suppose -4*j**2 + 152*j - 1444 = 0. Calculate j.
19
Factor -v**2/5 + 32*v/5 - 12.
-(v - 30)*(v - 2)/5
Find r such that -r**2/3 + 4*r - 11/3 = 0.
1, 11
Find m such that -m**2/6 + 5*m/6 + 7/3 = 0.
-2, 7
Find z such that -4*z**5/5 + 84*z**3/5 - 16*z**2 = 0.
-5, 0, 1, 4
Let -9*g**5/5 - 12*g**4 + 1956*g**3/5 - 11952*g**2/5 + 28608*g/5 - 23808/5 = 0. What is g?
-62/3, 2, 4
Suppose 7*o**5/4 - 9*o**4/4 - 145*o**3/4 + 329*o**2/4 - 111*o/2 + 10 = 0. Calculate o.
-5, 2/7, 1, 4
Factor 2*t**2/9 - 4*t - 38/9.
2*(t - 19)*(t + 1)/9
Factor c**3/5 - 318*c**2/5 + 33708*c/5 - 1191016/5.
(c - 106)**3/5
Factor -5*m**4 - 340*m**3 - 5430*m**2 + 11900*m - 6125.
-5*(m - 1)**2*(m + 35)**2
Factor -o**2/2 - 3176*o - 6351/2.
-(o + 1)*(o + 6351)/2
Determine x, given that -2*x**4/11 + 124*x**3/11 - 690*x**2/11 + 1016*x/11 - 448/11 = 0.
1, 4, 56
Let -3*n**3 + 69*n**2 + 147*n + 75 = 0. Calculate n.
-1, 25
Factor -s**2/4 - 9*s/4 - 5.
-(s + 4)*(s + 5)/4
Find i, given that -i**2/3 + 667*i/3 - 1330/3 = 0.
2, 665
Factor 5*r**4/2 + 625*r**3/2 - 1265*r**2/2 + 635*r/2.
5*r*(r - 1)**2*(r + 127)/2
Factor 3*f**3 - 2829*f**2 + 668349*f - 665523.
3*(f - 471)**2*(f - 1)
Factor 4*b**2 - 552*b + 19044.
4*(b - 69)**2
Determine n so that 4*n**5 - 60*n**4 - 136*n**3 - 8*n**2 + 132*n + 68 = 0.
-1, 1, 17
Factor -4*u**3 - 20*u**2 + 4*u + 20.
-4*(u - 1)*(u + 1)*(u + 5)
Factor -r**2/5 + 7*r - 234/5.
-(r - 26)*(r - 9)/5
Let -6*s**5 + 38*s**4 - 20*s**3 - 128*s**2 - 64*s = 0. What is s?
-1, -2/3, 0, 4
Suppose 8*v**5 + 44*v**4 + 60*v**3 - 20*v**2 - 68*v - 24 = 0. Calculate v.
-3, -2, -1, -1/2, 1
Solve 120*z**3 + 325*z**2 - 585*z + 140 = 0 for z.
-4, 7/24, 1
Determine r, given that 3*r**5/7 + 3*r**4 + 27*r**3/7 - 81*r**2/7 - 162*r/7 = 0.
-3, 0, 2
Factor -84*o**2 - 3704*o - 352.
-4*(o + 44)*(21*o + 2)
Solve -3*w**3 - 33*w**2 + 138*w + 168 = 0.
-14, -1, 4
Find b such that 2*b**5 - 367*b**4/2 + 3166*b**3 + 47723*b**2 + 141780*b + 65025/2 = 0.
-5, -1/4, 51
What is k in -k**5 + 25*k**4/2 - 6*k**3 = 0?
0, 1/2, 12
Determine x so that -3*x**3/5 - 96*x**2 - 1383*x/5 + 942 = 0.
-157, -5, 2
Factor 2*d**3/3 - 4*d**2/3 - 32*d/3 + 64/3.
2*(d - 4)*(d - 2)*(d + 4)/3
Factor -h**3/5 - 11*h**2/5 - 36*h/5 - 36/5.
-(h + 2)*(h + 3)*(h + 6)/5
Find z such that 4*z**2 - 21768*z + 29615364 = 0.
2721
Suppose -x**4 - 15*x**3 - 66*x**2 - 116*x - 72 = 0. What is x?
-9, -2
Factor 2*r**3/17 - 122*r**2/17 - 250*r/17 - 126/17.
2*(r - 63)*(r + 1)**2/17
Factor -2*u**2/5 - 466*u/5 + 188.
-2*(u - 2)*(u + 235)/5
Factor -c**5 + 12*c**3 + 16*c**2.
-c**2*(c - 4)*(c + 2)**2
Factor -5*y**2 - 3410*y - 581405.
-5*(y + 341)**2
Factor c**4/5 + 18*c**3/5 - 4*c**2 - 18*c/5 + 19/5.
(c - 1)**2*(c + 1)*(c + 19)/5
Let -4*x**5 + 500*x**4 + 1524*x**3 + 1532*x**2 + 512*x = 0. What is x?
-1, 0, 128
Determine k so that -k**5/4 + 119*k**4/2 - 923*k**3/2 + 335*k**2 + 9175*k/4 + 2875/2 = 0.
-1, 5, 230
Find z such that z**3 + 28*z**2 + 137*z + 110 = 0.
-22, -5, -1
What is z in -z**4/3 + 10*z**3 + 252*z**2 + 1656*z + 3456 = 0?
-6, 48
Let b**4/7 + 11*b**3/7 + 38*b**2/7 + 52*b/7 + 24/7 = 0. Calculate b.
-6, -2, -1
Factor 3*s**2 + 21492*s + 38492172.
3*(s + 3582)**2
Factor -2*h**4 - 2*h**3 + 18*h**2 + 18*h.
-2*h*(h - 3)*(h + 1)*(h + 3)
Find z, given that -35*z**3 + 14780*z**2 - 1562455*z + 445210 = 0.
2/7, 211
Find r, given that -r**5 - 10*r**4 + 67*r**3 - 116*r**2 + 60*r = 0.
-15, 0, 1, 2
Solve 2*v**4/3 + 10*v**3/3 + 8*v**2/3 = 0.
-4, -1, 0
Factor -2*t**2/3 - 31*t - 46/3.
-(t + 46)*(2*t + 1)/3
Find p, given that -4*p**4 + 378*p**3 - 1608*p**2 - 1090*p + 900 = 0.
-1, 1/2, 5, 90
Determine t so that -3*t**3 + 60*t**2 + 141*t - 198 = 0.
-3, 1, 22
Factor -y**3/2 - 37*y**2/2 - 220*y - 850.
-(y + 10)**2*(y + 17)/2
Factor 6*f**3 - 214*f**2 + 522*f + 198.
2*(f - 33)*(f - 3)*(3*f + 1)
Factor 3*b**2/5 - 4686*b/5.
3*b*(b - 1562)/5
Solve 4*h**2 + 18*h - 22 = 0 for h.
-11/2, 1
Factor f**4/5 - 6*f**3/5 - 7*f**2/5.
f**2*(f - 7)*(f + 1)/5
Factor 5*c**4 - 35*c**3 - 40*c**2.
5*c**2*(c - 8)*(c + 1)
Solve 256*q**5 - 288*q**4 + 33*q**3 - q**2 = 0.
0, 1/16, 1
Factor 3*z**3 + 42*z**2 + 180*z + 216.
3*(z + 2)*(z + 6)**2
Find g, given that -4*g**5 + 56*g**3 - 48*g**2 - 52*g + 48 = 0.
-4, -1, 1, 3
Factor -g**2 + 2547*g/2 + 637.
-(g - 1274)*(2*g + 1)/2
Determine t, given that -t**5/2 - 7*t**4/2 - 15*t**3/2 - 9*t**2/2 = 0.
-3, -1, 0
Let i**2/7 + 95*i/7 = 0. What is i?
-95, 0
Let -y**4/2 + 44*y**3 - 330*y**2 + 808*y - 640 = 0. Calculate y.
2, 4, 80
Let -q**2 - 177*q + 178 = 0. What is q?
-178, 1
Solve -3*d**5/2 + 93*d**4/2 - 63*d**3/2 - 777*d**2/2 - 489*d - 180 = 0.
-1, 4, 30
Factor -2*q**4/15 - 112*q**3/5 - 12704*q**2/15 + 39424*q/5 - 247808/15.
-2*(q - 4)**2*(q + 88)**2/15
Find q, given that -5*q**2 + 150*q - 1120 = 0.
14, 16
What is d in -15*d**5/4 + 9*d**4/4 + 147*d**3/2 + 87*d**2 - 162*d - 240 = 0?
-2, 8/5, 5
Find y, given that y**3 - 108*y**2 + 213*y - 106 = 0.
1, 106
Factor -2*z**3/7 + 15*z**2/7 + 27*z/7.
-z*(z - 9)*(2*z + 3)/7
Solve -o**2/4 - 17*o/4 - 21/2 = 0.
-14, -3
Let -3*u**3 - 39*u**2 - 90*u = 0. What is u?
-10, -3, 0
Let -a**5/3 + 8*a**4/3 + 8*a**3/3 - 190*a**2/3 + 425*a/3 - 250/3 = 0. What is a?
-5, 1, 2, 5
Factor 2*h**3/5 - 32*h**2/5 + 168*h/5 - 288/5.
2*(h - 6)**2*(h - 4)/5
Suppose -4*k**5/3 + 16*k**4/3 + 4*k**3/3 - 64*k**2/3 + 16*k = 0. What is k?
-2, 0, 1, 2, 3
Suppose 4*i**4 - 20*i**3 + 24*i**2 + 16*i - 32 = 0. Calculate i.
-1, 2
Factor 2*h**4 + 3758*h**3/11 - 684*h**2/11.
2*h**2*(h + 171)*(11*h - 2)/11
Let -10*p**5/11 + 4*p**4/11 + 10*p**3/11 - 4*p**2/11 = 0. What is p?
-1, 0, 2/5, 1
Factor 5*c**5 - 5*c**4 - 10*c**3 + 10*c**2 + 5*c - 5.
5*(c - 1)**3*(c + 1)**2
Find o such that 2*o**5/5 + 12*o**4/5 - 6*o**3 + 16*o**2/5 = 0.
-8, 0, 1
Solve -4*o**3 + 212*o**2 + 900*o + 684 = 0.
-3, -1, 57
Find x such that 5*x**3/3 + 50*x**2/3 + 140*x/3 + 40 = 0.
-6, -2
Let -4*o**3/3 - 8*o**2/3 + 28*o/3 - 16/3 = 0. What is o?
-4, 1
Factor 6*n**3/5 - 62*n**2/15 + 4*n - 16/15.
2*(n - 2)*(n - 1)*(9*n - 4)/15
Factor -2*o**2/11 + 40*o - 438/11.
-2*(o - 219)*(o - 1)/11
Factor -7*c**3/2 + 64*c**2 - 214*c + 56.
-(c - 14)*(c - 4)*(7*c - 2)/2
Factor -y**2/3 + 56*y/3.
-y*(y - 56)/3
Factor 5*m**2/3 + 180*m - 545/3.
5*(m - 1)*(m + 109)/3
Determine s, given that -3*s**4/4 + 57*s**3/2 + 93*s**2 - 57*s/2 - 369/4 = 0.
-3, -1, 1, 41
Factor 2*q**5 + 124*q**4 + 2642*q**3 + 20920*q**2 + 34400*q + 16000.
2*(q + 1)**2*(q + 20)**3
Suppose -4*j**5/5 + 38*j**4/15 - 2*j**3/15 - 4*j**2 + 8*j/15 + 16/15 = 0. What is j?
-1, -1/2, 2/3, 2
Solve 3125*c**2 + 1500*c + 180 = 0 for c.
-6/25
Let 3*u**3/4 - 27*u**2 + 135*u = 0. Calculate u.
0, 6, 30
Suppose i**4/3 - 20*i**3/3 + 32*i**2 + 256*i/3 - 2048/3 = 0. What is i?
-4, 8
Factor 5*z**2 - 1100*z + 3255.
5*(z - 217)*(z - 3)
Factor -2*a**3