ctor -8*d**2 + 68*d + 36.
-4*(d - 9)*(2*d + 1)
Factor p**5/6 + 13*p**4/6 + 20*p**3/3 + 6*p**2.
p**2*(p + 2)**2*(p + 9)/6
Suppose -2*f**4/3 + 119*f**3/3 - 780*f**2 + 14800*f/3 + 8000/3 = 0. Calculate f.
-1/2, 20
Find q, given that -q**2/5 - 431*q/5 + 866/5 = 0.
-433, 2
Factor -3*z**3/2 + 69*z**2/2 - 252*z + 594.
-3*(z - 11)*(z - 6)**2/2
Find q such that q**2 - 82*q = 0.
0, 82
Factor 2*m**4/3 + 62*m**3/3 + 210*m**2 + 2650*m/3 + 4000/3.
2*(m + 5)**3*(m + 16)/3
Solve 2*w**5/13 - 138*w**4/13 + 2166*w**3/13 + 7346*w**2/13 + 7632*w/13 + 2592/13 = 0 for w.
-1, 36
Find i such that 18*i**5 - 438*i**4 + 560*i**3 - 184*i**2 = 0.
0, 2/3, 23
Suppose 2*w**3 - 88*w**2 - 130*w + 1800 = 0. Calculate w.
-5, 4, 45
Solve 2*k**5/5 - 122*k**4/5 - 4*k**3/5 + 244*k**2/5 + 2*k/5 - 122/5 = 0 for k.
-1, 1, 61
Find q, given that 2*q**2/5 + 138*q/5 + 136/5 = 0.
-68, -1
Factor 3*j**3 + 9*j**2 - 12.
3*(j - 1)*(j + 2)**2
Factor -7*s**3 - 96*s**2 + 133*s - 30.
-(s - 1)*(s + 15)*(7*s - 2)
Factor 3*u**4 + 288*u**3 + 846*u**2 + 840*u + 279.
3*(u + 1)**3*(u + 93)
Solve -156*d**5 + 40*d**4 + 468*d**3 - 432*d**2 + 80*d = 0 for d.
-2, 0, 10/39, 1
Find k such that k**2 - 1950*k - 1951 = 0.
-1, 1951
Factor 2*z**2 + 424*z + 22472.
2*(z + 106)**2
Let -14884*j**3/7 + 2196*j**2 - 492*j/7 + 4/7 = 0. What is j?
1/61, 1
Suppose -b**3/2 + 95*b**2/2 + 404*b + 824 = 0. What is b?
-4, 103
Determine x so that x**5/6 - 5*x**4/6 + x**3/3 + 7*x**2/3 - x/2 - 3/2 = 0.
-1, 1, 3
Factor 10*r**2 - 17*r - 6.
(r - 2)*(10*r + 3)
Solve 5*x**2 + 190*x + 1805 = 0 for x.
-19
Factor 50*d**3/9 - 40*d**2/3 + 14*d/3 - 4/9.
2*(d - 2)*(5*d - 1)**2/9
Factor c**2/2 + 894*c + 399618.
(c + 894)**2/2
Determine l so that -5*l**4 + 160*l**3 + 3530*l**2 - 160*l - 3525 = 0.
-15, -1, 1, 47
Solve -3*a**2/8 + 411*a/4 - 56307/8 = 0 for a.
137
Factor -w**3 - 20*w**2 - 13*w + 114.
-(w - 2)*(w + 3)*(w + 19)
Determine h so that h**4/2 - 5*h**2 + 9/2 = 0.
-3, -1, 1, 3
Let 3*u**3/2 - 249*u**2 - 1005*u/2 - 252 = 0. What is u?
-1, 168
Factor 5*t**3 - 20*t**2 + 20*t.
5*t*(t - 2)**2
Solve -10*b**5 + 16*b**4 + 48*b**3 - 4*b**2 - 38*b - 12 = 0 for b.
-1, -2/5, 1, 3
Determine q so that 2*q**4/17 - 160*q**3/17 - 664*q**2/17 - 672*q/17 = 0.
-2, 0, 84
Find p such that 2*p**2 - 1918*p - 9640 = 0.
-5, 964
Suppose -4*k**2 - 6288*k - 2471184 = 0. What is k?
-786
Factor 5112*n**2 - 3414*n + 4.
2*(3*n - 2)*(852*n - 1)
Let n**2/5 + 3*n - 34/5 = 0. What is n?
-17, 2
Suppose -n**5/4 + 47*n**4/2 - 2209*n**3/4 = 0. Calculate n.
0, 47
Find h, given that -3*h**5 - 219*h**4 + 1761*h**3 + 6567*h**2 + 6990*h + 2400 = 0.
-80, -1, 10
Factor -2*y**3/9 + 14*y**2/9 + 80*y/9 + 88/9.
-2*(y - 11)*(y + 2)**2/9
Factor -9*d**5/5 - 57*d**4/5 - 18*d**3/5.
-3*d**3*(d + 6)*(3*d + 1)/5
Factor 4*w**2/9 + 1280*w/3 + 102400.
4*(w + 480)**2/9
Factor -q**4/4 + 2*q**3.
-q**3*(q - 8)/4
Factor 4*b**2 + 52*b - 56.
4*(b - 1)*(b + 14)
Factor 10*m**2 + 1478*m/3 + 392/3.
2*(m + 49)*(15*m + 4)/3
Solve y**3/4 + 11*y**2/4 - 25*y/4 + 13/4 = 0.
-13, 1
Factor 2*v**3/11 + 2*v**2 - 50*v/11 + 26/11.
2*(v - 1)**2*(v + 13)/11
Find d, given that -205*d**4 - 1228*d**3 - 2448*d**2 - 1616*d + 16 = 0.
-2, 2/205
Suppose 4*t**5/3 + 64*t**4/3 + 356*t**3/3 + 824*t**2/3 + 272*t + 96 = 0. Calculate t.
-6, -2, -1
Factor 2*b**3 - 46*b**2 - 98*b - 50.
2*(b - 25)*(b + 1)**2
Determine p, given that -4*p**2 + 36*p = 0.
0, 9
Factor -3*u**5/2 - 9*u**4 - 3*u**3/2 + 36*u**2 - 24*u.
-3*u*(u - 1)**2*(u + 4)**2/2
Factor -k**2/2 - 9*k/2 - 4.
-(k + 1)*(k + 8)/2
Solve 5*o**5 - 15*o**4 - 10*o**3 + 30*o**2 + 5*o - 15 = 0 for o.
-1, 1, 3
Suppose -2*c**2/3 - 16*c + 50/3 = 0. What is c?
-25, 1
Find x such that 3*x**4 + 33*x**3 + 123*x**2 + 183*x + 90 = 0.
-5, -3, -2, -1
Factor 20*a**3 - 28*a**2 - 112*a + 48.
4*(a - 3)*(a + 2)*(5*a - 2)
Suppose -2*z**5 - 8*z**4 + 74*z**3 - 136*z**2 + 72*z = 0. Calculate z.
-9, 0, 1, 2
Let -28*v**3/19 + 30*v**2/19 - 2*v/19 = 0. Calculate v.
0, 1/14, 1
Suppose -2*n**2/3 + 76*n - 226/3 = 0. Calculate n.
1, 113
Suppose 3*a**3/2 + 63*a**2/2 + 117*a/2 - 2535/2 = 0. Calculate a.
-13, 5
Find u, given that -4*u**2 - 14312*u - 12802084 = 0.
-1789
Find q, given that 6*q**4 - 34*q**3 - 64*q**2 + 56*q = 0.
-2, 0, 2/3, 7
Factor 5*p**2 + 8410*p - 8415.
5*(p - 1)*(p + 1683)
Factor 2*n**4 - 14*n**2 + 12*n.
2*n*(n - 2)*(n - 1)*(n + 3)
Factor r**2/4 - 65*r/2 + 4225/4.
(r - 65)**2/4
Factor j**3 - 13*j**2 + 23*j - 11.
(j - 11)*(j - 1)**2
Factor 2*b**3/5 - 9372*b**2/5 + 14639064*b/5 - 7622072656/5.
2*(b - 1562)**3/5
Factor 2*b**3/3 + 2*b**2 - 12*b.
2*b*(b - 3)*(b + 6)/3
Let 3*m**3 - 375*m**2 + 11904*m - 11532 = 0. Calculate m.
1, 62
Suppose 3*h**3/2 + 306*h**2 + 20808*h + 471648 = 0. Calculate h.
-68
Factor -289*t**4/3 + 1904*t**3 - 27544*t**2/3 - 2240*t - 400/3.
-(t - 10)**2*(17*t + 2)**2/3
Find l, given that 2*l**5 - 12*l**4 - 42*l**3 + 68*l**2 + 96*l = 0.
-3, -1, 0, 2, 8
Determine n, given that n**2/3 + 1480*n/3 + 547600/3 = 0.
-740
Find n such that n**3 + 39*n**2 + 432*n + 972 = 0.
-18, -3
Factor -3*k**2 - 9*k + 30.
-3*(k - 2)*(k + 5)
Solve -14*j**2/3 - 136*j/15 + 8/15 = 0.
-2, 2/35
Factor 3*w**5 - 6*w**4 - 36*w**3 - 42*w**2 - 15*w.
3*w*(w - 5)*(w + 1)**3
Suppose 3*g**3 - 255*g**2 + 252*g = 0. What is g?
0, 1, 84
Factor 2*g**3 - 30*g**2 + 126*g - 98.
2*(g - 7)**2*(g - 1)
What is z in -z**5/3 - 2*z**4/3 + 4*z**3/3 + 2*z**2/3 - z = 0?
-3, -1, 0, 1
Factor 2*b**3/3 - 266*b**2/3 - 268*b/3.
2*b*(b - 134)*(b + 1)/3
Factor -j**3/9 - 5*j**2/3 + 94*j/9 - 40/3.
-(j - 3)*(j - 2)*(j + 20)/9
Factor 2*m**4/7 + 74*m**3/7 + 858*m**2/7 + 338*m - 8788/7.
2*(m - 2)*(m + 13)**3/7
Suppose 5*v**5 + 20*v**4 - 10*v**3 - 60*v**2 + 45*v = 0. Calculate v.
-3, 0, 1
Factor -u**3/2 + 53*u**2 + u/2 - 53.
-(u - 106)*(u - 1)*(u + 1)/2
Factor c**5 - 8*c**4 + 22*c**3 - 24*c**2 + 9*c.
c*(c - 3)**2*(c - 1)**2
Suppose 6*r**5/5 + 372*r**4/5 + 1944*r**3/5 - 852*r**2 - 12894*r/5 - 7056/5 = 0. Calculate r.
-56, -7, -1, 3
Factor 5*p**3 - 15*p**2 - 65*p + 75.
5*(p - 5)*(p - 1)*(p + 3)
Find n, given that -n**4/3 + 13*n**3 - 36*n**2 - 4*n/3 + 48 = 0.
-1, 2, 36
Suppose 2*n**5/9 + 10*n**4/9 - 4*n**3/3 - 64*n**2/9 + 64*n/9 = 0. Calculate n.
-4, 0, 1, 2
What is t in 7*t**3/10 - 137*t**2/10 + 73*t/10 + 57/10 = 0?
-3/7, 1, 19
Let -a**2/6 - 3419*a/3 - 11689561/6 = 0. Calculate a.
-3419
Factor 4*d**3 - 1032*d**2 + 4080*d - 4064.
4*(d - 254)*(d - 2)**2
Factor -m**3/3 - 7*m**2 - 33*m + 121/3.
-(m - 1)*(m + 11)**2/3
Factor -o**3 - 117*o**2 - 4563*o - 59319.
-(o + 39)**3
Find a, given that 2*a**4/9 + 8*a**3 + 638*a**2/9 - 8*a - 640/9 = 0.
-20, -16, -1, 1
Factor f**3 - 257*f**2 - 517*f - 259.
(f - 259)*(f + 1)**2
Suppose -2*f**5/11 + 46*f**4/11 + 6*f**3/11 - 134*f**2/11 - 92*f/11 = 0. Calculate f.
-1, 0, 2, 23
Determine q, given that -5*q**2/3 + 20*q/3 + 25/3 = 0.
-1, 5
Let 6*d**2 - 40*d - 64 = 0. Calculate d.
-4/3, 8
Let u**4/3 + 8*u**3/3 - 35*u**2 = 0. Calculate u.
-15, 0, 7
Factor -j**5 + 15*j**3 + 10*j**2 - 60*j - 72.
-(j - 3)**2*(j + 2)**3
Determine i, given that -i**5/3 + 43*i**4/3 - 51*i**3 - 45*i**2 + 234*i = 0.
-2, 0, 3, 39
Let 3*r**2 + 48*r + 192 = 0. What is r?
-8
Factor -3*q**4/8 - 915*q**3/4 - 69309*q**2/2 + 70227*q.
-3*q*(q - 2)*(q + 306)**2/8
Let -l**4/3 - 13*l**3/3 - 19*l**2 - 95*l/3 - 50/3 = 0. Calculate l.
-5, -2, -1
Determine l so that 3*l**2 - 240*l + 468 = 0.
2, 78
Factor 3*g**5/2 + 357*g**4/2 + 5220*g**3 - 5400*g**2.
3*g**2*(g - 1)*(g + 60)**2/2
Factor -3*j**2/4 - 57*j - 1065/4.
-3*(j + 5)*(j + 71)/4
Factor -4*y**4 - 40*y**3 + 52*y**2 + 88*y.
-4*y*(y - 2)*(y + 1)*(y + 11)
Let -4*b**4/5 + 28*b**3/5 - 52*b**2/5 - 12*b/5 + 72/5 = 0. What is b?
-1, 2, 3
Solve 26*p**4/19 - 42*p**3/19 - 20*p**2/19 = 0 for p.
-5/13, 0, 2
Factor -6*r**5/5 - 286*r**4/5 - 5088*r**3/5 - 39744*r**2/5 - 110592*r/5 + 41472/5.
-2*(r + 12)**4*(3*r - 1)/5
Factor 4*t**5/7 + 32*t**4/7 + 12*t**3 + 72*t**2/7.
4*t**2*(t + 2)*(t + 3)**2/7
Factor 5*g**2 - 175*g - 180.
5*(g - 36)*(g + 1)
Factor 4*n**3 - 252*n**2 + 3264*n + 23120.
4*(n - 34)**2*(n + 5)
Factor -2*s**3/15 + 14*s**2/15 + 16*s/15.
-2*s*(s - 8)*(s + 1)/15
Factor 6*l**3 - 8*l**2 - 8*l.
2*l*(l - 2)*(3*l + 2)
Factor -5*g**2 + 110*g - 585.
-5*(g - 13)*(g - 9)
Factor -2*q**2/5 - 106*q/5 - 96.
-2*(q + 5)*(q + 48)/5
Factor -2*u**2/5 - 3716*u/5 - 1726082/5.
-2*(u + 929)**2/5
Suppose j**3/4 - 292*j**2 + 85264*j = 0. What is j?
0, 584
Suppos