*4 + 376*v**3 - 2816*v**2 - 2048*v.
-4*v*(v - 16)**2*(3*v + 2)
Factor m**2/2 + 6*m - 14.
(m - 2)*(m + 14)/2
Factor -5*z**3/4 + 33*z**2/4 + 7*z/2.
-z*(z - 7)*(5*z + 2)/4
Solve 3*g**2/7 + 15*g/7 - 312/7 = 0.
-13, 8
Factor -5*c**3/4 - 39*c**2/2 - 27*c + 14.
-(c + 2)*(c + 14)*(5*c - 2)/4
Determine h, given that 140*h**4 - 166*h**3 - 20*h**2 + 58*h - 12 = 0.
-3/5, 2/7, 1/2, 1
Let 5*t**4/4 - 5*t**3/2 - 5*t**2/4 + 5*t/2 = 0. What is t?
-1, 0, 1, 2
Let -4*c**3/3 - 80*c**2/3 + 652*c/3 + 728/3 = 0. Calculate c.
-26, -1, 7
Suppose -4*k**3 - 68*k**2 + 320*k - 336 = 0. Calculate k.
-21, 2
Determine x, given that -2*x**2/13 - 200*x/13 = 0.
-100, 0
Factor 3*m**3/7 + 144*m**2/7 + 960*m/7.
3*m*(m + 8)*(m + 40)/7
Factor -p**3/4 + 47*p**2/4 + p - 47.
-(p - 47)*(p - 2)*(p + 2)/4
What is y in 4*y**2 + 4536*y + 1285956 = 0?
-567
Find y, given that -5*y**3 - 15*y**2 + 50*y + 120 = 0.
-4, -2, 3
Factor -s**4 + 15*s**3 - 74*s**2 + 132*s - 72.
-(s - 6)**2*(s - 2)*(s - 1)
Factor 2*k**3/5 - 18*k**2 - 104*k/5 + 552/5.
2*(k - 46)*(k - 2)*(k + 3)/5
Solve s**2/12 - 3*s/2 + 77/12 = 0.
7, 11
Solve 4*y**4 + 4*y**3 - 12*y**2 - 4*y + 8 = 0.
-2, -1, 1
Find p, given that 4*p**5/7 - 276*p**4/7 + 4616*p**3/7 + 5176*p**2/7 - 660*p - 700 = 0.
-1, 1, 35
Factor -12*s**2/5 - 63684*s/5 - 84492747/5.
-3*(2*s + 5307)**2/5
Factor 4*z**4/7 + 60*z**3/7 + 152*z**2/7 + 96*z/7.
4*z*(z + 1)*(z + 2)*(z + 12)/7
Determine v, given that -2*v**5/5 - 62*v**4/5 - 116*v**3/5 = 0.
-29, -2, 0
Suppose 5*v**3 + 305*v**2 + 4895*v + 23595 = 0. Calculate v.
-39, -11
Factor 5*d**4 - 160*d**3 - 4350*d**2 + 9160*d - 4655.
5*(d - 49)*(d - 1)**2*(d + 19)
Factor -2*x**2/11 + 490*x/11 - 972/11.
-2*(x - 243)*(x - 2)/11
What is c in 2*c**2/3 + 226*c/3 = 0?
-113, 0
Determine f so that -2*f**3/5 + 34*f**2/15 + 124*f/15 - 32/5 = 0.
-3, 2/3, 8
Factor 5*n**2/2 - 56*n + 22.
(n - 22)*(5*n - 2)/2
Factor 3*l**2/5 - 2058*l/5 + 352947/5.
3*(l - 343)**2/5
Let -274*x**3/11 + 278*x**2/11 - 4*x/11 = 0. Calculate x.
0, 2/137, 1
Factor 3*r**4 - 48*r**3 + 189*r**2 - 276*r + 132.
3*(r - 11)*(r - 2)**2*(r - 1)
Let 3*v**4 - 345*v**3 + 342*v**2 = 0. Calculate v.
0, 1, 114
Factor -12*q**3/5 + 99*q**2/5 - 177*q/5 + 18.
-3*(q - 6)*(q - 1)*(4*q - 5)/5
Let -2*c**3/5 - 26*c**2/5 = 0. What is c?
-13, 0
Solve 2*d**2 - 9312*d + 10839168 = 0.
2328
Solve -z**2 + 15*z + 76 = 0.
-4, 19
Factor -3*q**4 + 81*q**3 - 393*q**2 + 315*q.
-3*q*(q - 21)*(q - 5)*(q - 1)
Factor 190*h**3 + 189*h**2 - 381*h + 2.
(h - 1)*(h + 2)*(190*h - 1)
Factor 4*y**2/7 - 24*y/7 + 20/7.
4*(y - 5)*(y - 1)/7
Determine m, given that -114818259*m**3 - 3066363*m**2 - 27297*m - 81 = 0.
-3/337
Determine u so that 4*u**3 - 22*u**2/3 - 8*u/3 + 8/3 = 0.
-2/3, 1/2, 2
Suppose -75*f**5/7 + 60*f**4/7 + 213*f**3/7 - 330*f**2/7 + 156*f/7 - 24/7 = 0. What is f?
-2, 2/5, 1
Determine v, given that 2*v**2 - 18*v - 180 = 0.
-6, 15
Factor 12*q**4 - 64*q**3 + 184*q**2/3 + 64*q + 12.
4*(q - 3)**2*(3*q + 1)**2/3
Factor 2*c**4/3 + 2*c**3/3 - 8*c**2 - 56*c/3 - 32/3.
2*(c - 4)*(c + 1)*(c + 2)**2/3
What is u in u**3/4 + 35*u**2/2 + 197*u/4 - 67 = 0?
-67, -4, 1
Determine y so that 4*y**4/3 - y**3 - 37*y**2/3 + 9*y + 3 = 0.
-3, -1/4, 1, 3
Find k such that k**3/3 + 32*k**2/3 - 140*k/3 + 48 = 0.
-36, 2
Suppose -11*v**3/4 - 51*v**2/2 - 72*v - 56 = 0. What is v?
-4, -14/11
Solve -2*f**3/11 - 36*f**2/11 - 192*f/11 - 256/11 = 0.
-8, -2
Let 4*j**3 + 24*j**2 + 36*j + 16 = 0. Calculate j.
-4, -1
Factor -r**3 - 5*r**2 + 58*r - 88.
-(r - 4)*(r - 2)*(r + 11)
Suppose -5*k**2 - 235*k - 2700 = 0. Calculate k.
-27, -20
Let -90*j**5 + 2*j**4 + 490*j**3 - 90*j**2 - 400*j + 88 = 0. Calculate j.
-11/5, -1, 2/9, 1, 2
Let -5*k**2/6 + 15*k/2 - 15 = 0. What is k?
3, 6
Let -2*w**3 + 1376*w**2 = 0. What is w?
0, 688
Factor -w**2/4 + 109*w/2 + 1115/4.
-(w - 223)*(w + 5)/4
Factor q**2/2 - 14*q + 98.
(q - 14)**2/2
Solve -5*n**3 - 620*n**2 + 1895*n - 1270 = 0 for n.
-127, 1, 2
Let 7*m**5/4 - 10*m**4 + 51*m**3/4 + 23*m**2/2 - 19*m - 6 = 0. Calculate m.
-1, -2/7, 2, 3
Factor 3*c**4 - 173*c**3 + 1457*c**2 - 3095*c - 1200.
(c - 48)*(c - 5)**2*(3*c + 1)
Determine i, given that 5*i**5 + 5*i**4 - 25*i**3 + 15*i**2 = 0.
-3, 0, 1
Factor 2*p**3/21 - 4*p**2/3 + 50*p/21 - 8/7.
2*(p - 12)*(p - 1)**2/21
Factor 2*j**4 + 6*j**3 - 18*j**2 + 10*j.
2*j*(j - 1)**2*(j + 5)
Determine z, given that -z**4 - 6158*z**3 - 9492549*z**2 - 37896332*z - 37871716 = 0.
-3077, -2
Factor -3*k**3 - 17*k**2 + 8*k + 12.
-(k - 1)*(k + 6)*(3*k + 2)
Suppose 2*b**3/11 + 6470*b**2/11 = 0. Calculate b.
-3235, 0
Factor -s**3/5 - 9*s**2/5 + s/5 + 9/5.
-(s - 1)*(s + 1)*(s + 9)/5
Factor -r**2 - 4*r - 3.
-(r + 1)*(r + 3)
Factor -8*o**2/13 - 4728*o/13 - 698562/13.
-2*(2*o + 591)**2/13
What is c in -c**4/3 + 4*c**3/3 - 4*c**2/3 = 0?
0, 2
Factor 5*x**5 - 270*x**4 + 1270*x**3 - 2240*x**2 + 1725*x - 490.
5*(x - 49)*(x - 2)*(x - 1)**3
Solve -6*u**5/7 - 172*u**4/7 + 830*u**3/7 - 932*u**2/7 - 248*u/7 + 528/7 = 0 for u.
-33, -2/3, 1, 2
Solve f**5 - 8*f**4 + 13*f**3 - 6*f**2 = 0 for f.
0, 1, 6
Factor -5*a**4 + 15*a**3 - 10*a**2.
-5*a**2*(a - 2)*(a - 1)
Factor -3*g**2/5 - 183*g/5 + 186/5.
-3*(g - 1)*(g + 62)/5
Factor -4*t**4/3 + 976*t**3/3 - 29768*t**2 + 3631696*t/3 - 55383364/3.
-4*(t - 61)**4/3
Determine o so that -o**4/4 + 29*o**3/4 - 111*o**2/2 + 35*o + 98 = 0.
-1, 2, 14
Factor -z**3/3 - 42*z**2 - 125*z/3.
-z*(z + 1)*(z + 125)/3
What is x in x**3/8 + 5*x**2/4 + 9*x/8 = 0?
-9, -1, 0
Determine j so that -2*j**4 - 64*j**3 - 568*j**2 - 896*j + 4608 = 0.
-18, -8, 2
Factor -12*n**3 + 208*n**2 - 60*n - 136.
-4*(n - 17)*(n - 1)*(3*n + 2)
Factor -f**3 - 102*f**2 + 421*f - 318.
-(f - 3)*(f - 1)*(f + 106)
Factor 242*q**5/9 + 1540*q**4/9 + 536*q**3/9 + 16*q**2/3.
2*q**2*(q + 6)*(11*q + 2)**2/9
Factor 3*t**4 - 30*t**3 - 3*t**2 + 30*t.
3*t*(t - 10)*(t - 1)*(t + 1)
Let -3*s**3/5 + 129*s**2/5 - 1449*s/5 + 1323/5 = 0. What is s?
1, 21
Factor x**3 - 57*x**2 - 240*x - 244.
(x - 61)*(x + 2)**2
Factor -i**4 + 32*i**3 - 23*i**2 - 260*i + 372.
-(i - 31)*(i - 2)**2*(i + 3)
Factor t**4/3 - 13*t**2/3 + 4*t.
t*(t - 3)*(t - 1)*(t + 4)/3
Factor -2*u**4/15 - 286*u**3/3 - 113764*u**2/5 - 27302408*u/15 - 26962544/15.
-2*(u + 1)*(u + 238)**3/15
Find m such that 49*m**5/2 - 7168*m**4 - 24820*m**3 - 13072*m**2 + 14216*m - 2368 = 0.
-2, 2/7, 296
Find w, given that 5*w**2/3 + 390*w + 22815 = 0.
-117
Suppose -3*b**3/8 + 3*b**2/2 - 9*b/8 = 0. Calculate b.
0, 1, 3
Determine l, given that 2*l**5/17 - 2*l**4/17 = 0.
0, 1
Let -5*i**4 - 25*i**3 + 115*i**2 + 225*i - 630 = 0. What is i?
-7, -3, 2, 3
Factor 2*s**3/7 - 174*s**2/7 - 2*s/7 + 174/7.
2*(s - 87)*(s - 1)*(s + 1)/7
Factor 5*j**3 - 2385*j**2 - 4805*j + 7185.
5*(j - 479)*(j - 1)*(j + 3)
Determine q so that q**3 + 23*q**2 + 71*q - 95 = 0.
-19, -5, 1
Find l such that l**5/4 - 41*l**4/4 + 255*l**3/2 - 459*l**2 + 486*l = 0.
0, 2, 3, 18
Solve 112*d**2 + 164*d - 48 = 0 for d.
-12/7, 1/4
Factor b**4 - 9*b**3 - 10*b**2.
b**2*(b - 10)*(b + 1)
Factor 5*z**3/4 + 3435*z**2/2 + 6855*z + 6850.
5*(z + 2)**2*(z + 1370)/4
Find n such that -n**2 - 9*n + 10 = 0.
-10, 1
Find j, given that -j**4/6 - j**3 + 28*j**2/3 + j - 55/6 = 0.
-11, -1, 1, 5
Factor 3*r**2/5 + 2*r + 3/5.
(r + 3)*(3*r + 1)/5
Determine u, given that u**5/5 + 13*u**4/5 + 63*u**3/5 + 139*u**2/5 + 136*u/5 + 48/5 = 0.
-4, -3, -1
What is v in -2*v**4/5 + 4*v**3/5 + 26*v**2/5 + 4*v = 0?
-2, -1, 0, 5
Factor 2*g**5 - 4*g**4 - 8*g**3 + 4*g**2 + 6*g.
2*g*(g - 3)*(g - 1)*(g + 1)**2
Suppose 32*t**5/3 + 48*t**4/5 - 118*t**3/15 - 28*t**2/3 - 14*t/5 - 4/15 = 0. What is t?
-1, -2/5, -1/4, 1
Solve v**4 - v**2 = 0 for v.
-1, 0, 1
Suppose 6*a**3/11 + 70*a**2/11 - 28*a/11 - 48/11 = 0. Calculate a.
-12, -2/3, 1
Solve c**3 - 4*c = 0.
-2, 0, 2
Factor i**5/9 - i**4 + 29*i**3/9 - 13*i**2/3 + 2*i.
i*(i - 3)**2*(i - 2)*(i - 1)/9
Find f such that -5*f**2 + 390*f - 3400 = 0.
10, 68
Factor 7*x**4/9 + 352*x**3/9 + 772*x**2/9 + 64*x/3.
x*(x + 2)*(x + 48)*(7*x + 2)/9
Let -10*x**4/11 + 24*x**3/11 + 62*x**2/11 + 12*x/11 - 16/11 = 0. Calculate x.
-1, 2/5, 4
Factor o**3/8 + 8*o**2 + 1085*o/8 + 961/4.
(o + 2)*(o + 31)**2/8
Factor i**2 + 7*i.
i*(i + 7)
Suppose -3*r**3 - 6*r**2 + 24*r = 0. Calculate r.
-4, 0, 2
Let -s**5 - 7*s**4 - 10*s**3 + 20*s**2 + 56*s + 32 = 0. Calculate s.
-4, -2, -1, 2
Suppose -2*u**4/7 + 18*u**3/7 + 212*u**2/7 + 192*u/7 = 0. Calculate u.
-6, -1, 0, 16
