r -l**2 - 6*l - 8.
-(l + 2)*(l + 4)
Suppose -h**3/6 + 4*h**2/3 + 163*h/6 - 85/3 = 0. Calculate h.
-10, 1, 17
Let -k**4/2 + k**3 + 7*k**2/2 - 10*k + 6 = 0. Calculate k.
-3, 1, 2
Suppose 14*y**2 + 522*y + 148 = 0. What is y?
-37, -2/7
Let 4*z**3/7 + 44*z**2 + 2272*z/7 + 4416/7 = 0. Calculate z.
-69, -4
Let -72*h**5 - 168*h**4 - 122*h**3 - 28*h**2 - 2*h = 0. Calculate h.
-1, -1/6, 0
Factor f**2/9 + 488*f/9 + 59536/9.
(f + 244)**2/9
Suppose 9*n**2/4 - 97*n/4 - 11/2 = 0. What is n?
-2/9, 11
Factor -3*h**4 + 6*h**3 + 33*h**2 - 36*h.
-3*h*(h - 4)*(h - 1)*(h + 3)
Solve 129*z**2 + 6*z = 0.
-2/43, 0
Suppose -2*l**5/9 - 704*l**4/9 + 1184*l**3/3 - 6412*l**2/9 + 4994*l/9 - 476/3 = 0. What is l?
-357, 1, 2
What is z in -7098*z**3 - 4*z**2 + 7098*z + 4 = 0?
-1, -2/3549, 1
Factor 2*w**4/9 + 76*w**3/9 + 70*w**2/9 - 148*w/9.
2*w*(w - 1)*(w + 2)*(w + 37)/9
Factor -2*g**4 + 24*g**2 + 32*g.
-2*g*(g - 4)*(g + 2)**2
Determine l so that 14*l**3/11 + 6*l**2/11 = 0.
-3/7, 0
Let -39*t**3 - 147*t**2 - 81*t + 27 = 0. What is t?
-3, -1, 3/13
Find k such that -2*k**3 - 256*k**2 + 518*k - 260 = 0.
-130, 1
Factor 4*o**5 + 136*o**4 + 1280*o**3 + 2048*o**2.
4*o**2*(o + 2)*(o + 16)**2
Determine u so that 6075*u**4 + 23760*u**3 - 2148*u**2 + 48*u = 0.
-4, 0, 2/45
Suppose -4*v**3 - 7632*v**2 - 3632820*v + 7296200 = 0. Calculate v.
-955, 2
Factor 20*d**2 + 108*d + 40.
4*(d + 5)*(5*d + 2)
Solve -3*v**3/5 - 348*v**2/5 + 213*v - 714/5 = 0 for v.
-119, 1, 2
Let 5*t**3 - 11030*t**2 + 6083045*t = 0. What is t?
0, 1103
Solve -25*c**4 - 15*c**3 + 35*c**2 + 15*c - 10 = 0 for c.
-1, 2/5, 1
Determine b so that -44*b**3 + 117*b**2 + 224*b + 48 = 0.
-12/11, -1/4, 4
Factor z**3 - 10*z**2 + 23*z - 14.
(z - 7)*(z - 2)*(z - 1)
Factor 5*z**3/4 + 25*z**2/4 - 385*z/4 - 2205/4.
5*(z - 9)*(z + 7)**2/4
Let 4*g**2 - 196*g + 192 = 0. Calculate g.
1, 48
What is c in -2*c**4/13 - 24*c**3/13 - 20*c**2/13 + 24*c/13 + 22/13 = 0?
-11, -1, 1
Let 4*h**2/17 + 382*h/17 + 2640/17 = 0. What is h?
-88, -15/2
Find u such that -u**4/3 - 8*u**3/3 - 5*u**2 + 8*u/3 + 16/3 = 0.
-4, -1, 1
Factor -l**5/3 + l**4 - 2*l**3/3.
-l**3*(l - 2)*(l - 1)/3
Let -q**3/4 + 6735*q**2/4 - 11343423*q/4 + 11336689/4 = 0. Calculate q.
1, 3367
Find w such that 6*w**5/19 - 320*w**4/19 + 4144*w**3/19 + 3676*w**2/19 - 10422*w/19 + 2916/19 = 0.
-2, 1/3, 1, 27
Determine w, given that -w**3/4 + 15*w**2/2 - 14*w = 0.
0, 2, 28
Solve -y**2 - 12*y + 13 = 0 for y.
-13, 1
Suppose 3*d**2 + 366*d + 11163 = 0. What is d?
-61
Find y, given that -20*y**3 - 540*y**2 - 4125*y - 6250 = 0.
-25/2, -2
What is w in -5*w**3/2 - 5*w**2 + 65*w/2 - 25 = 0?
-5, 1, 2
Determine p so that 3*p**2 - 3036*p = 0.
0, 1012
Find m, given that -4*m**5 + 40*m**4 - 156*m**3 + 296*m**2 - 272*m + 96 = 0.
1, 2, 3
Suppose -8*q**5/19 + 178*q**4/19 - 500*q**3/19 + 6*q**2 = 0. What is q?
0, 1/4, 3, 19
Factor -3*x**4 - 90*x**3 - 87*x**2.
-3*x**2*(x + 1)*(x + 29)
Find m, given that -m**5 + 1539*m**4 + 1543*m**3 - 4615*m**2 - 7698*m - 3080 = 0.
-1, 2, 1540
Suppose 16*p**4 + 440*p**3 + 2809*p**2 + 1323*p + 162 = 0. What is p?
-18, -9, -1/4
Factor 2*o**5/9 + 38*o**4/9 + 116*o**3/9 - 596*o**2/9 + 682*o/9 - 242/9.
2*(o - 1)**3*(o + 11)**2/9
Suppose -u**3 - 28*u**2 + 60*u = 0. What is u?
-30, 0, 2
Find a, given that -a**2/3 + 145*a/3 - 286/3 = 0.
2, 143
Factor -2*d**3/3 - 20*d**2/3 - 34*d/3 - 16/3.
-2*(d + 1)**2*(d + 8)/3
Find k such that -2*k**4 + 14*k**3 + 94*k**2 - 30*k - 396 = 0.
-3, 2, 11
Factor -2*x**2/9 + 70*x/9.
-2*x*(x - 35)/9
Factor b**2/4 - 39*b/4 + 19/2.
(b - 38)*(b - 1)/4
Determine h, given that h**4/3 - 6*h**3 + 39*h**2 - 108*h + 108 = 0.
3, 6
Find u, given that u**2/9 + 98*u/9 + 376/9 = 0.
-94, -4
Let 4*p**3 - 152*p**2 - 656*p - 672 = 0. Calculate p.
-2, 42
Let -d**3/3 - 2*d**2/3 + d/3 + 2/3 = 0. What is d?
-2, -1, 1
Let r**2 - 10*r + 21 = 0. What is r?
3, 7
Determine f, given that -4*f**5/3 - 3*f**4 + 2*f**3/3 + 3*f**2 + 2*f/3 = 0.
-2, -1, -1/4, 0, 1
Factor 3*d**2 + 1443*d - 5820.
3*(d - 4)*(d + 485)
Solve -l**5/6 + 4*l**4/3 + 5*l**3/3 - 4*l**2/3 - 3*l/2 = 0 for l.
-1, 0, 1, 9
Determine o so that -20*o**2/3 - 956*o/3 - 552 = 0.
-46, -9/5
Determine h, given that 2*h**2/5 - 32/5 = 0.
-4, 4
Suppose -h**5/2 - 95*h**4/2 - 1196*h**3 - 3174*h**2 = 0. Calculate h.
-46, -3, 0
Factor -c**2/3 + 883*c/3 + 884/3.
-(c - 884)*(c + 1)/3
Let -2*f**5 - 46*f**4 - 154*f**3 + 454*f**2 - 252*f = 0. Calculate f.
-18, -7, 0, 1
Factor -o**2/9 - 32*o/9 - 64/3.
-(o + 8)*(o + 24)/9
Let -2*j**3/11 + 38*j**2/11 - 18*j + 162/11 = 0. Calculate j.
1, 9
Let 2*v**4/5 - 2*v**3 - 88*v**2/5 - 24*v = 0. What is v?
-3, -2, 0, 10
Factor 2*v**3 - 8*v**2 - 294*v - 540.
2*(v - 15)*(v + 2)*(v + 9)
Suppose s**5/8 - 11*s**4/8 - 13*s**3/8 + 11*s**2/8 + 3*s/2 = 0. Calculate s.
-1, 0, 1, 12
Factor 3*k**3/4 + 67*k**2/4 - 59*k/2 + 12.
(k - 1)*(k + 24)*(3*k - 2)/4
Suppose 16*i**3 + 26980*i**2 - 20248*i - 6748 = 0. Calculate i.
-1687, -1/4, 1
Factor x**3/5 - 816*x**2/5 + 221952*x/5 - 20123648/5.
(x - 272)**3/5
Factor -5*k**2 - 210*k - 2205.
-5*(k + 21)**2
Let -6*h**5 - 32*h**4 - 62*h**3 - 52*h**2 - 16*h = 0. Calculate h.
-2, -4/3, -1, 0
Determine i so that -4*i**2 + 1856*i - 215296 = 0.
232
Factor f**5/4 - 3*f**4/2 + 11*f**3/4 - 3*f**2/2.
f**2*(f - 3)*(f - 2)*(f - 1)/4
Factor -3*x**2/2 - 629*x/2 - 209.
-(x + 209)*(3*x + 2)/2
Determine b so that -3*b**4 - 9*b**3 + 3*b**2 + 9*b = 0.
-3, -1, 0, 1
Find m such that m**2/2 - 391*m/2 - 196 = 0.
-1, 392
Find j such that -2*j**2/9 - 34*j/9 + 76/9 = 0.
-19, 2
What is s in -18*s**3 + 132*s**2 + 94*s + 16 = 0?
-1/3, 8
Let -2*o**4 - 76*o**3 - 214*o**2 - 140*o = 0. What is o?
-35, -2, -1, 0
Determine f, given that -2*f**5 - 20*f**4 - 62*f**3 - 60*f**2 = 0.
-5, -3, -2, 0
Determine i so that 15*i**4 + 258*i**3 + 1251*i**2 + 1200*i + 192 = 0.
-8, -1, -1/5
Determine y so that y**4/7 - 47*y**3/7 + 575*y**2/7 - 529*y/7 = 0.
0, 1, 23
Suppose -5*g**3 - 1635*g**2 - 134475*g - 132845 = 0. Calculate g.
-163, -1
Factor 3*w**5 + 18*w**4 + 15*w**3 - 72*w**2 - 108*w.
3*w*(w - 2)*(w + 2)*(w + 3)**2
Let -12*y**3/13 - 22*y**2/13 + 384*y/13 + 10 = 0. Calculate y.
-13/2, -1/3, 5
Factor 2*v**3 - 8*v**2 - 14*v + 20.
2*(v - 5)*(v - 1)*(v + 2)
Factor -4*u**2/9 + 376*u - 79524.
-4*(u - 423)**2/9
Factor -2*i**4/7 - 10*i**3/7 + 66*i**2/7 - 54*i/7.
-2*i*(i - 3)*(i - 1)*(i + 9)/7
Factor -5*v**4 + 20*v**3 + 5*v**2 - 20*v.
-5*v*(v - 4)*(v - 1)*(v + 1)
Factor 5*l**4 - 5*l**3 - 25*l**2 - 15*l.
5*l*(l - 3)*(l + 1)**2
Let -9*o**4 + 42*o**3 + 83*o**2 - 68*o + 12 = 0. Calculate o.
-2, 1/3, 6
Factor 242*d**2/3 + 88*d + 24.
2*(11*d + 6)**2/3
Factor -y**4 - y**3 + 20*y**2.
-y**2*(y - 4)*(y + 5)
Factor -b**5 - 33*b**4 + 34*b**3.
-b**3*(b - 1)*(b + 34)
Factor -k**2 + 871*k + 1746.
-(k - 873)*(k + 2)
Factor -4*b**4 - 208*b**3 + 4*b**2 + 208*b.
-4*b*(b - 1)*(b + 1)*(b + 52)
Suppose -4*c**2 - 356*c + 360 = 0. What is c?
-90, 1
Factor 3*c**2 - 1266*c - 3825.
3*(c - 425)*(c + 3)
Factor -2*r**3/3 + 234*r**2 + 2*r/3 - 234.
-2*(r - 351)*(r - 1)*(r + 1)/3
Factor 5*d**4 - 175*d**3 + 170*d**2.
5*d**2*(d - 34)*(d - 1)
Let 369*b**2/4 + 3*b = 0. Calculate b.
-4/123, 0
Determine o, given that -o**5/7 + 16*o**3/7 - 38*o**2/7 + 33*o/7 - 10/7 = 0.
-5, 1, 2
Find x such that 2*x**4/3 - 58*x**3/3 + 248*x**2/3 - 64*x = 0.
0, 1, 4, 24
Let 2*r**3 - 266*r**2 + 9230*r - 25350 = 0. Calculate r.
3, 65
Factor 12*f**4 + 188*f**3 + 860*f**2 + 868*f - 392.
4*(f + 2)*(f + 7)**2*(3*f - 1)
Factor -3*v**3/5 + 66*v**2/5 + 357*v/5 - 10404/5.
-3*(v - 17)**2*(v + 12)/5
Determine i so that 26*i**5/15 + 238*i**4/15 + 272*i**3/5 + 1264*i**2/15 + 160*i/3 + 32/5 = 0.
-3, -2, -2/13
Factor -u**2 - 1294*u - 418609.
-(u + 647)**2
Factor 5*x**2 - 25*x - 120.
5*(x - 8)*(x + 3)
Factor -i**2/8 - i/8 + 3/4.
-(i - 2)*(i + 3)/8
Factor -2*f**5/3 + 16*f**4/3 - 44*f**3/3 + 56*f**2/3 - 34*f/3 + 8/3.
-2*(f - 4)*(f - 1)**4/3
Factor c**5/4 + 13*c**4/4 - 29*c**3/4 + 15*c**2/4.
c**2*(c - 1)**2*(c + 15)/4
Factor 3*w**3 + 10*w**2 - 51*w - 18.
(w - 3)*(w + 6)*(3*w + 1)
Find t, given that -3*t**4 + 27*t**3 - 69*t**2 + 45*t = 0.
0, 1, 3, 5
What is x in 2*x**3/9 - 8*x**2/3 + 14*x/3 - 20/9 = 0?
1, 10
Factor 2562*p**4 - 760*p**3 + 8*p**2.
2*p**2*(7*p - 2)*(183*p - 2)
Suppose 15*t**4 + 759*t**3 + 444*t**2 - 300*t = 0. What is t?
-50, -1, 0, 2/5
Determine l so that l**4 - 3*l**3/5 - 4*l**2 + 12*l/5 = 0.
-2, 0, 3