 35*h**2 - 25*h - 5.
-5*(h + 1)**2*(3*h + 1)
Find a such that 4*a**2 - 36*a - 88 = 0.
-2, 11
Factor 20*o**2 + 992*o - 400.
4*(o + 50)*(5*o - 2)
Let 5*y**3 - 2210*y**2 + 244205*y = 0. What is y?
0, 221
Factor t**3/6 - 1305*t**2/2 + 1703025*t/2 - 740815875/2.
(t - 1305)**3/6
Factor 2*g**2/17 + 46*g/17.
2*g*(g + 23)/17
Determine n, given that -2*n**3/17 - 20*n**2/17 + 138*n/17 - 180/17 = 0.
-15, 2, 3
Find j such that 4*j**3/5 - 106*j**2/3 + 1024*j/15 - 506/15 = 0.
1, 253/6
Find l such that -15*l**5 + 84*l**4 + 51*l**3 - 84*l**2 - 36*l = 0.
-1, -2/5, 0, 1, 6
Solve -2*l**2/7 + 18*l/7 = 0 for l.
0, 9
Determine o, given that 2*o**5/5 - 7*o**4 + 143*o**3/5 + 99*o**2/5 - 81*o/5 = 0.
-1, 0, 1/2, 9
Factor -2*t**2 - 46*t - 44.
-2*(t + 1)*(t + 22)
Factor -3*n**4 - 90*n**3 - 84*n**2 + 90*n + 87.
-3*(n - 1)*(n + 1)**2*(n + 29)
Solve -5*u**5/3 + 5*u**4 + 155*u**3/3 - 105*u**2 - 150*u = 0 for u.
-5, -1, 0, 3, 6
Determine k so that -5*k**2 - 805*k - 1590 = 0.
-159, -2
Determine n, given that -3*n**4/4 + 11*n**3 - 103*n**2/4 + 43*n/2 - 6 = 0.
2/3, 1, 12
Factor -5*y**2/7 - 528*y/7 - 45.
-(y + 105)*(5*y + 3)/7
Factor 2*w**2 - 196*w + 4802.
2*(w - 49)**2
Determine u so that 147*u**2 + 2310*u + 9075 = 0.
-55/7
Let h**5/3 - 302*h**4 + 603*h**3 - 904*h**2/3 = 0. Calculate h.
0, 1, 904
Factor 2*c**4 - 40*c**3 + 266*c**2 - 588*c.
2*c*(c - 7)**2*(c - 6)
Find i such that -4*i**2 - 1128*i - 79524 = 0.
-141
Let r**2/10 - r/5 - 12/5 = 0. What is r?
-4, 6
Determine a so that -3*a**2 + 597*a = 0.
0, 199
Factor -9*p**2 + 384*p - 252.
-3*(p - 42)*(3*p - 2)
Factor 4*q**2 + 4*q - 840.
4*(q - 14)*(q + 15)
Factor -p**4 + 24*p**3 + 25*p**2.
-p**2*(p - 25)*(p + 1)
Factor a**5/5 - 4*a**4/5 - 2*a**3/5 + 12*a**2/5 + 9*a/5.
a*(a - 3)**2*(a + 1)**2/5
Suppose -2*p**4/7 + 4*p**3/7 + 6*p**2 + 36*p/7 = 0. Calculate p.
-3, -1, 0, 6
Determine y, given that -4*y**3/3 - 1648*y**2/3 - 1645*y/3 - 137 = 0.
-411, -1/2
Find h such that -4*h**5/23 + 242*h**4/23 - 352*h**3/23 - 124*h**2/23 + 356*h/23 - 118/23 = 0.
-1, 1/2, 1, 59
Factor 2*n**3/9 - 28*n**2/3 + 98*n.
2*n*(n - 21)**2/9
Factor -w**3/10 + 7*w**2/10 + 9*w/5.
-w*(w - 9)*(w + 2)/10
What is q in q**3/3 + q**2 + 2*q/3 = 0?
-2, -1, 0
Suppose v**2/3 + 3*v + 8/3 = 0. What is v?
-8, -1
Let -2*y**3/3 + 12*y**2 - 82*y/3 - 40 = 0. Calculate y.
-1, 4, 15
Determine t, given that -2*t**3/5 - 98*t**2/5 - 448*t/5 - 352/5 = 0.
-44, -4, -1
Factor 3*v**3 - 18*v**2 + 33*v - 18.
3*(v - 3)*(v - 2)*(v - 1)
Suppose 5*o**5 - 103*o**4 + 648*o**3 - 1384*o**2 + 656*o + 528 = 0. Calculate o.
-2/5, 2, 6, 11
Find d, given that 2*d**4 + 172*d**3 - 350*d**2 + 176*d = 0.
-88, 0, 1
Solve -9*k**5/4 + 3*k**4/4 + 33*k**3/4 + 9*k**2/4 - 6*k - 3 = 0.
-1, -2/3, 1, 2
Find o, given that -26*o**3/15 + 8*o**2 - 56*o/5 + 64/15 = 0.
8/13, 2
Solve 4*m**4/3 - 52*m**3/3 - 64*m**2/3 + 112*m/3 = 0.
-2, 0, 1, 14
Find t such that -t**2/2 + 2883*t/2 - 1441 = 0.
1, 2882
Determine b, given that -b**2/5 - 107*b/5 + 444/5 = 0.
-111, 4
Determine u so that 9*u**5/8 - 39*u**4/2 + 297*u**3/8 + 153*u**2/4 - 129*u/2 - 45 = 0.
-1, -2/3, 2, 15
Solve -7*q**5/6 + q**4/3 + 14*q**3/3 - 4*q**2/3 = 0 for q.
-2, 0, 2/7, 2
Solve -l**4/2 + 167*l**3/2 - 657*l**2/2 + 817*l/2 - 163 = 0 for l.
1, 2, 163
Solve 10*v**3/3 - 57*v**2 - 583*v/3 + 20 = 0.
-3, 1/10, 20
Factor 25*c**4/2 + 445*c**3/2 + 172*c**2 + 34*c.
c*(c + 17)*(5*c + 2)**2/2
Factor -y**4 + 7*y**2 - 6*y.
-y*(y - 2)*(y - 1)*(y + 3)
Factor -3*w**4/5 + 219*w**3/5 - 468*w**2 + 8976*w/5 - 11712/5.
-3*(w - 61)*(w - 4)**3/5
Find o such that o**5 - 11*o**4/2 + 9*o**3 - 4*o**2 - 2*o + 3/2 = 0.
-1/2, 1, 3
Factor -3*y**2 + 21*y - 18.
-3*(y - 6)*(y - 1)
Determine k so that 2*k**4/9 - 94*k**3/3 - 1210*k**2/3 - 6622*k/9 + 3332 = 0.
-7, 2, 153
Factor 4*v**3/3 + 4*v**2 - 4*v/3 - 4.
4*(v - 1)*(v + 1)*(v + 3)/3
Factor 2*k**2 - 282*k + 828.
2*(k - 138)*(k - 3)
Factor t**5/4 + 5*t**4/4 - 39*t**3/4 - 9*t**2/4 + 81*t/2.
t*(t - 3)**2*(t + 2)*(t + 9)/4
Factor -b**4 - 102*b**3.
-b**3*(b + 102)
Factor -3*i**5/5 - 12*i**4 - 234*i**3/5 + 132*i**2 - 363*i/5.
-3*i*(i - 1)**2*(i + 11)**2/5
Factor -100*g**5 - 1140*g**4 - 5004*g**3 - 10476*g**2 - 10368*g - 3888.
-4*(g + 3)**3*(5*g + 6)**2
Factor -5*k**2 + 110*k - 480.
-5*(k - 16)*(k - 6)
Factor 2*u**4 + 42*u**3 - 144*u**2 + 8*u + 192.
2*(u - 2)**2*(u + 1)*(u + 24)
Suppose -3*a**3 + 1233*a**2 - 168921*a + 7714059 = 0. Calculate a.
137
Factor 3*q**3 - 165*q**2 + 156*q + 324.
3*(q - 54)*(q - 2)*(q + 1)
Find s, given that -5*s**3 - 15*s**2 + 1485*s - 8505 = 0.
-21, 9
Find l such that -2*l**5/5 + 66*l**4/5 - 508*l**3/5 - 644*l**2/5 + 102*l + 578/5 = 0.
-1, 1, 17
Factor 10*w**3/7 - 159*w**2/7 + 134*w/7 + 15/7.
(w - 15)*(w - 1)*(10*w + 1)/7
Factor -j**3/5 - j**2/5 + 2*j - 8/5.
-(j - 2)*(j - 1)*(j + 4)/5
Suppose 2*z**4 + 32*z**3 + 74*z**2 - 252*z + 144 = 0. Calculate z.
-12, -6, 1
Solve -12*j**5/7 - 32*j**4/7 + 128*j**3/7 - 72*j**2/7 - 52*j/7 + 40/7 = 0.
-5, -2/3, 1
Factor -2*f**2/15 + 234*f/5 + 704/15.
-2*(f - 352)*(f + 1)/15
Solve -3*b**2/2 + 3/2 = 0 for b.
-1, 1
Factor 2*d**4/3 - 206*d**3/3 + 200*d**2.
2*d**2*(d - 100)*(d - 3)/3
Solve 3*q**4/4 - 13*q**3/4 + 7*q**2/4 + 17*q/4 - 3/2 = 0 for q.
-1, 1/3, 2, 3
Factor -39*n**3 - 981*n**2 - 150*n.
-3*n*(n + 25)*(13*n + 2)
Determine i so that 313*i**5/3 - 628*i**4/3 - 935*i**3/3 + 2510*i**2/3 - 1268*i/3 + 8/3 = 0.
-2, 2/313, 1, 2
Factor -4*n**4/3 - 52*n**3/3 - 44*n**2 - 124*n/3 - 40/3.
-4*(n + 1)**3*(n + 10)/3
Let -l**3/3 + 58*l**2/3 - 260*l - 600 = 0. What is l?
-2, 30
Factor 235225*c**2 + 3880*c + 16.
(485*c + 4)**2
Factor -5*z**4 - 65*z**3 - 145*z**2 + 665*z + 1470.
-5*(z - 3)*(z + 2)*(z + 7)**2
Factor q**3/8 + 9*q**2/8 + 15*q/8 - 25/8.
(q - 1)*(q + 5)**2/8
Factor -y**2 + 8*y + 9.
-(y - 9)*(y + 1)
Factor -c**2/3 + 314*c/3 + 105.
-(c - 315)*(c + 1)/3
Let -5*z**5 + 458*z**4 - 11686*z**3 + 54592*z**2 - 59469*z - 33282 = 0. Calculate z.
-2/5, 3, 43
Factor 5*a**5/3 + 40*a**4/3 + 20*a**3 - 10*a**2/3 - 65*a/3 - 10.
5*(a - 1)*(a + 1)**3*(a + 6)/3
Let 2*z**3 - 642*z**2 + 1278*z - 638 = 0. Calculate z.
1, 319
Solve 3*z**3 - 51*z**2 - 72*z + 324 = 0 for z.
-3, 2, 18
Factor 65*x**2 - 1335*x - 630.
5*(x - 21)*(13*x + 6)
Factor q**2/2 - 231*q/2 + 115.
(q - 230)*(q - 1)/2
Factor 16*h**2/9 + 102*h + 38.
2*(h + 57)*(8*h + 3)/9
Factor 2*b**5 - 190*b**4 + 372*b**3.
2*b**3*(b - 93)*(b - 2)
Let 2*v**2 - 26*v + 80 = 0. Calculate v.
5, 8
Determine r so that 2*r**3 - 40*r**2 + 136*r + 448 = 0.
-2, 8, 14
Suppose -2*w**2/13 - 412*w/13 + 414/13 = 0. Calculate w.
-207, 1
Determine k, given that 3*k**4/2 + 39*k**3/2 + 153*k**2/2 + 105*k/2 - 150 = 0.
-5, -4, 1
Factor b**2/5 - 182*b/5 - 183/5.
(b - 183)*(b + 1)/5
Factor x**2/3 - 4*x - 28/3.
(x - 14)*(x + 2)/3
Factor n**3/3 + n**2 + 2*n/3.
n*(n + 1)*(n + 2)/3
Determine b, given that -b**5/5 + 4*b**4/5 - 4*b**3/5 = 0.
0, 2
Factor -3*p**2 - 279*p - 276.
-3*(p + 1)*(p + 92)
Let -x**2/4 - 25*x + 51 = 0. What is x?
-102, 2
Determine b, given that -b**4/3 + 5*b**3/3 - 5*b**2/3 - 5*b/3 + 2 = 0.
-1, 1, 2, 3
Factor -5*m**3/4 + 35*m**2/4 + 5*m - 35.
-5*(m - 7)*(m - 2)*(m + 2)/4
Factor -2*z**2/5 - 2*z/5 + 2964/5.
-2*(z - 38)*(z + 39)/5
Factor 2*d**5/11 - 6*d**3/11 + 4*d**2/11.
2*d**2*(d - 1)**2*(d + 2)/11
Factor -g**2/3 + 50*g - 1875.
-(g - 75)**2/3
Factor 2*o**2/5 - 92*o/5.
2*o*(o - 46)/5
Factor r**3 - r.
r*(r - 1)*(r + 1)
Factor -65*g**2/3 - 68*g/3 + 4.
-(5*g + 6)*(13*g - 2)/3
Determine t, given that 4*t**3 + 68*t**2 + 220*t + 156 = 0.
-13, -3, -1
Factor -5*n**5/4 - 3*n**4 - 9*n**3/4 - n**2/2.
-n**2*(n + 1)**2*(5*n + 2)/4
Solve -5*t**4 - 720*t**3 - 705*t**2 + 1430*t = 0.
-143, -2, 0, 1
Find j, given that -2*j**4 - 32*j**3 + 72*j**2 = 0.
-18, 0, 2
Factor r**4 + 29*r**3/3 - 82*r**2/3 + 8*r.
r*(r - 2)*(r + 12)*(3*r - 1)/3
Factor w**2/2 - 15*w.
w*(w - 30)/2
Factor 2*p**3 - 106*p**2 - 2*p + 106.
2*(p - 53)*(p - 1)*(p + 1)
What is f in -f**2 - 33*f - 216 = 0?
-24, -9
Solve -4*d**2 + 1476*d - 2936 = 0 for d.
2, 367
Factor -2*p**3/7 - 128*p**2/7 - 250*p/7 - 124/7.
-2*(p + 1)**2*(p + 62)/7
Factor s**2/3 + 4*s - 15.
(s - 3)*(s + 15)/3
Solve 4*t**3/7 - 3240*t**2 + 6123600*t - 3857868000 = 0 for t.
1890
Find u, given that -2*u**4 + 2*u**3 + 184*u**2 + 864*u + 1152 = 0.
-4, -3, 12
Find m such that 3*m**2/5 + 2091*m/5 - 2106 = 0.
-702, 5
Factor -u**3 - 9*u**2 - 6*u + 16.
-(u - 1)*(u + 2)*(u + 8)
Determine