2
Factor 2*c**2 + 82*c - 264.
2*(c - 3)*(c + 44)
Determine h so that 2*h**2 + 130*h - 268 = 0.
-67, 2
Factor -t**3/3 + 495*t**2 - 184016*t + 550564/3.
-(t - 742)**2*(t - 1)/3
Let 2*z**4/9 - 20*z**3/9 - 2*z**2/3 + 64*z/9 - 40/9 = 0. Calculate z.
-2, 1, 10
Let -u**3 + 261*u**2 - 16899*u - 17161 = 0. Calculate u.
-1, 131
Factor 5*p**3/3 + 110*p**2/3 + 295*p/3 + 190/3.
5*(p + 1)*(p + 2)*(p + 19)/3
Factor -3*v**3/4 - 33*v**2/4 - 18*v.
-3*v*(v + 3)*(v + 8)/4
Factor 5*g**3 + 55*g**2 - 125*g + 65.
5*(g - 1)**2*(g + 13)
Solve 2*p**4/17 - 26*p**3/17 - 134*p**2/17 - 46*p/17 + 12 = 0.
-3, -2, 1, 17
Determine s, given that s**4 + 16*s**3 + 78*s**2 + 144*s + 81 = 0.
-9, -3, -1
Let -3*r**2 - 27*r - 54 = 0. Calculate r.
-6, -3
Let -3*x**5/5 + 174*x**4 - 2592*x**3/5 + 2586*x**2/5 - 861*x/5 = 0. What is x?
0, 1, 287
What is b in 4*b**5/3 - 16*b**4/3 - 20*b**3 + 56*b**2/3 + 112*b/3 - 32 = 0?
-2, 1, 6
Let 52*t**5 - 1392*t**4 - 364*t**3 + 1080*t**2 = 0. What is t?
-1, 0, 10/13, 27
Factor p**2/4 + 557*p/2 + 1113/4.
(p + 1)*(p + 1113)/4
Find m, given that 9*m**3 - 429*m**2 + 3519*m + 1221 = 0.
-1/3, 11, 37
Factor -5*c**2 - 70*c + 6975.
-5*(c - 31)*(c + 45)
Factor f**3/4 + 29*f**2/4 + 56*f + 49.
(f + 1)*(f + 14)**2/4
Let -3*b**2 + 108*b + 111 = 0. Calculate b.
-1, 37
Determine y, given that 2*y**3/9 + 16*y**2/9 - 10*y/3 - 12 = 0.
-9, -2, 3
Let -2*s**3 - 160*s**2/9 - 14*s + 16/9 = 0. What is s?
-8, -1, 1/9
Determine r so that -9*r**4 + 66*r**3 - 160*r**2 + 128*r = 0.
0, 2, 8/3
Factor -w**2/7 - 720*w/7 - 129600/7.
-(w + 360)**2/7
Solve -3*u**4/7 - 930*u**3/7 - 83919*u**2/7 - 262260*u - 1670004 = 0 for u.
-141, -14
Factor -3*x**5/8 + 93*x**4/8 + 201*x**3/4 + 309*x**2/4 + 417*x/8 + 105/8.
-3*(x - 35)*(x + 1)**4/8
Solve 2*u**2/7 - 236*u/7 + 6962/7 = 0.
59
Solve 8*q**3/9 + 2*q**2/9 - 8*q/9 - 2/9 = 0.
-1, -1/4, 1
Find h such that 18*h**2 + 21*h + 3 = 0.
-1, -1/6
Find i such that 4*i**4 - 32*i**3 + 68*i**2 - 40*i = 0.
0, 1, 2, 5
Factor -4*f**3 + 32*f**2 + 16*f - 128.
-4*(f - 8)*(f - 2)*(f + 2)
Find k, given that -5*k**2 - 545*k + 6600 = 0.
-120, 11
Solve -25*g**5 + 195*g**4 + 265*g**3 - 2255*g**2 - 3960*g - 700 = 0 for g.
-2, -1/5, 5, 7
Solve -26*a**4/3 - 120*a**3 - 198*a**2 - 212*a/3 + 16 = 0.
-12, -1, 2/13
Factor k**4/7 - 8*k**3/7 - 43*k**2/7 - 58*k/7 - 24/7.
(k - 12)*(k + 1)**2*(k + 2)/7
Factor k**3 - 8*k**2 + 7*k.
k*(k - 7)*(k - 1)
Solve -2*a**4/21 + 6880*a**3/7 - 17750400*a**2/7 = 0 for a.
0, 5160
Find n, given that -n**5/8 + 11*n**4/8 + 25*n**3/8 - 155*n**2/8 - 3*n + 18 = 0.
-4, -1, 1, 3, 12
Factor -6*r**3 - 103*r**2 - 241*r + 350.
-(r - 1)*(r + 14)*(6*r + 25)
Factor 3*z**3 + 567*z**2 + 2220*z.
3*z*(z + 4)*(z + 185)
What is k in -2*k**2/7 - 724*k/7 = 0?
-362, 0
Solve -2*u**2/3 + 8*u/3 + 40 = 0.
-6, 10
Factor 3*p**2/8 + 219*p/4.
3*p*(p + 146)/8
Determine o so that 18*o**3/11 - 24386*o**2/11 - 5420*o/11 = 0.
-2/9, 0, 1355
Factor -52*u**2 - 4726*u + 546.
-2*(u + 91)*(26*u - 3)
Suppose 2*f**2 + 154*f + 152 = 0. What is f?
-76, -1
Factor 105*s**2 + 138*s - 48.
3*(5*s + 8)*(7*s - 2)
Factor f**3 + 12*f**2 + 45*f + 54.
(f + 3)**2*(f + 6)
Determine s, given that -3*s**3/5 - 516*s**2/5 - 22188*s/5 = 0.
-86, 0
Factor -g**3/2 - g**2/2 + 9*g/2 + 9/2.
-(g - 3)*(g + 1)*(g + 3)/2
What is s in 2*s**5/19 - 10*s**4/19 - 14*s**3/19 + 10*s**2/19 + 12*s/19 = 0?
-1, 0, 1, 6
Let y**3 + 212*y**2 + 11845*y + 63654 = 0. What is y?
-103, -6
Let s**2 + 38*s + 72 = 0. Calculate s.
-36, -2
Factor -5*q**3 - 65*q**2 + 145*q - 75.
-5*(q - 1)**2*(q + 15)
Factor i**4/2 - 3*i**2/2 - i.
i*(i - 2)*(i + 1)**2/2
What is x in -16*x**5/5 - 10*x**4 - 38*x**3/5 - 4*x**2/5 = 0?
-2, -1, -1/8, 0
Factor 3*o**3 - 39*o**2 - 48*o + 84.
3*(o - 14)*(o - 1)*(o + 2)
Factor -r**3/5 + 844*r**2/5 - 176384*r/5 - 719104/5.
-(r - 424)**2*(r + 4)/5
Solve 5*j**3 - 20*j**2 - 185*j + 200 = 0 for j.
-5, 1, 8
Let -f**2/6 + 159*f/2 + 479/3 = 0. What is f?
-2, 479
Factor h**2/3 - 5*h/3 + 2.
(h - 3)*(h - 2)/3
Determine i, given that -i**4 + 14*i**3 + 115*i**2 + 100*i = 0.
-5, -1, 0, 20
Suppose 3*d**4 + 6*d**3 - 9*d**2 - 24*d - 12 = 0. Calculate d.
-2, -1, 2
Suppose 2*b**2 + 14*b + 12 = 0. Calculate b.
-6, -1
Find o, given that -2*o**2/5 - 228*o/5 - 6498/5 = 0.
-57
Suppose 2*l**2/13 - 50*l/13 - 1428/13 = 0. Calculate l.
-17, 42
Suppose -2*r**4/5 + 8*r**2/5 = 0. Calculate r.
-2, 0, 2
Find m, given that -4*m**2 + 32*m + 80 = 0.
-2, 10
Determine q, given that 3*q**2/4 - 15*q + 273/4 = 0.
7, 13
Factor -o**4/9 + 2*o**3/9 + 5*o**2/3 + 4*o/9 - 20/9.
-(o - 5)*(o - 1)*(o + 2)**2/9
Solve -2*c**5/9 + 2*c**4/9 + 2*c**3/9 - 2*c**2/9 = 0 for c.
-1, 0, 1
Find c, given that -c**2/8 + 25*c/2 - 99/8 = 0.
1, 99
Solve z**4 - 43*z**3 + 681*z**2 - 4697*z + 11858 = 0.
7, 11, 14
Solve -7*i**4/5 - 59*i**3/5 - 136*i**2/5 - 48*i/5 = 0.
-4, -3/7, 0
Solve 32*q**3/3 + 172*q**2 + 320*q + 112/3 = 0.
-14, -2, -1/8
Find b, given that 3*b**4 - 33*b**3/4 - 309*b**2/4 - 327*b/4 - 63/4 = 0.
-3, -1, -1/4, 7
Find s such that 2*s**2 + 10*s - 72 = 0.
-9, 4
Determine c so that 5*c**5 - 750*c**4 - 5*c**3 + 750*c**2 = 0.
-1, 0, 1, 150
Let 10*c**4/7 + 4*c**3/7 - 16*c**2/7 - 4*c/7 + 6/7 = 0. Calculate c.
-1, 3/5, 1
Suppose -l**5 + 5*l**4 + 78*l**3 + 72*l**2 = 0. What is l?
-6, -1, 0, 12
Find k, given that 2*k**5/3 + 26*k**4/3 + 46*k**3/3 - 242*k**2/3 - 16*k + 72 = 0.
-9, -6, -1, 1, 2
Factor z**3/7 + 12*z**2/7 - 55*z/7 - 150/7.
(z - 5)*(z + 2)*(z + 15)/7
Let -5*c**4 - 43*c**3 + 123*c**2 - 97*c + 22 = 0. What is c?
-11, 2/5, 1
Factor -a**4/3 - 14*a**3/3 - 49*a**2/3 - 12*a.
-a*(a + 1)*(a + 4)*(a + 9)/3
Find u such that 16*u**3 + 106*u**2 + 204*u + 90 = 0.
-3, -5/8
Let 2*v**3/13 + 48*v**2/13 + 166*v/13 + 120/13 = 0. What is v?
-20, -3, -1
Let 2*c**3 - 8*c**2 - 58*c - 48 = 0. Calculate c.
-3, -1, 8
Solve 15*m**2 + 1430*m + 475 = 0.
-95, -1/3
Find t such that 2*t**5 + 38*t**4 + 210*t**3 + 98*t**2 - 1372*t = 0.
-7, 0, 2
What is o in -o**2 + 78*o - 1521 = 0?
39
Factor -2*h**3/3 + 10*h**2 - 24*h.
-2*h*(h - 12)*(h - 3)/3
Factor 2*j**3/7 - 134*j**2/7 + 2176*j/7 + 2312/7.
2*(j - 34)**2*(j + 1)/7
Factor -4*w**3 - 248*w**2 + 9296*w - 70560.
-4*(w - 14)**2*(w + 90)
Factor -2*o**3/5 - 18*o**2/5 + 4*o.
-2*o*(o - 1)*(o + 10)/5
Determine d, given that -4*d**5 + 24*d**4 - 52*d**3 + 48*d**2 - 16*d = 0.
0, 1, 2
Factor 2*c**4 - 36*c**3.
2*c**3*(c - 18)
Solve 25*w**3/6 - 1685*w**2/3 + 1342*w/3 - 268/3 = 0.
2/5, 134
Factor 2*h**4/15 + 82*h**3/3 - 414*h**2/5 + 1246*h/15 - 416/15.
2*(h - 1)**3*(h + 208)/15
Factor 2*i**4/3 - 8*i**2 + 32*i/3.
2*i*(i - 2)**2*(i + 4)/3
Let -8*x**3/13 + 526*x**2/13 - 388*x/13 - 10 = 0. Calculate x.
-1/4, 1, 65
Find b, given that -b**2/6 + 75*b - 16875/2 = 0.
225
Suppose 2*v**2/9 + 196*v/9 - 202/3 = 0. What is v?
-101, 3
Factor 3*w**2/7 + 204*w/7 + 288.
3*(w + 12)*(w + 56)/7
Solve 4*a**5 + 20*a**4 - 4*a**3 - 20*a**2 = 0 for a.
-5, -1, 0, 1
Solve 2*x**2/11 + 116*x/11 - 118/11 = 0.
-59, 1
Let 5*a**4 - 10565*a**3 + 10555*a**2 + 10565*a - 10560 = 0. What is a?
-1, 1, 2112
Let 6*z**3/5 + 312*z**2/5 - 1686*z/5 + 1368/5 = 0. Calculate z.
-57, 1, 4
What is i in -3*i**2 + 177*i - 174 = 0?
1, 58
Find n such that -5*n**4 + 20*n**3 + 275*n**2 + 310*n - 600 = 0.
-4, -3, 1, 10
Find r such that 3*r**3/4 - 15*r**2 + 363*r/4 - 315/2 = 0.
3, 7, 10
Solve 5*y**3 + 15*y**2 + 15*y + 5 = 0 for y.
-1
Solve 3*c**4/4 - 39*c**3/4 + 141*c**2/4 - 105*c/4 = 0.
0, 1, 5, 7
Find u, given that -2*u**2/7 + 22*u/7 + 552/7 = 0.
-12, 23
Factor 2*x**4 + 10*x**3 - 58*x**2 - 210*x.
2*x*(x - 5)*(x + 3)*(x + 7)
Let 10*x**3/7 + 74*x**2/7 + 128*x/7 + 40/7 = 0. Calculate x.
-5, -2, -2/5
Factor -n**3 - 449*n**2 - 50175*n + 50625.
-(n - 1)*(n + 225)**2
Factor -2*l**2/3 - 60*l + 368/3.
-2*(l - 2)*(l + 92)/3
Determine f so that -3*f**3/2 + 3*f**2/4 + 3*f/4 = 0.
-1/2, 0, 1
Factor -3*j**5/2 - 12*j**4 - 27*j**3 + 81*j/2.
-3*j*(j - 1)*(j + 3)**3/2
Factor -3*v**2/5 - 609*v/5.
-3*v*(v + 203)/5
What is d in 2*d**2 + 32*d = 0?
-16, 0
Let 3*b**5 + 39*b**4 - 126*b**3 - 582*b**2 - 645*b - 225 = 0. What is b?
-15, -1, 5
Let -3*j**2 + 123*j - 234 = 0. What is j?
2, 39
Find y such that 5*y**3 + 2540*y**2 + 320025*y - 650250 = 0.
-255, 2
Factor -2*v**2/3 + 5584*v/3 - 3897632/3.
-2*(v - 1396)**2/3
Determine w so that 20*w**4 + 200*w**3 + 265*w**2 - 425*w + 120 = 0.
-8, -3, 1/2
Factor 3*u**2/5 + 93*u/5 + 174/5.
3*(u + 2)*(u + 29)/5
Factor -w**2/