11 + 48*o**2/11 + 118*o/11 - 168/11 = 0.
-21, -4, 1
Factor 5*p**4 - 50*p**3 - 335*p**2 - 580*p - 300.
5*(p - 15)*(p + 1)*(p + 2)**2
Factor 3*o**5 - 9*o**4 - 84*o**3 - 48*o**2 + 288*o + 336.
3*(o - 7)*(o - 2)*(o + 2)**3
Factor p**2/3 - 136*p/3.
p*(p - 136)/3
Factor z**3/4 + 5*z**2/4 + 7*z/4 + 3/4.
(z + 1)**2*(z + 3)/4
Factor -l**3/3 + 22*l**2 - 521*l/3 + 152.
-(l - 57)*(l - 8)*(l - 1)/3
Solve 23*z**5/2 + 67*z**4/2 + 20*z**3 - 2*z**2 = 0 for z.
-2, -1, 0, 2/23
What is z in z**2/2 - 145*z - 291/2 = 0?
-1, 291
Factor j**4 - 8*j**3 + 4*j**2 + 48*j.
j*(j - 6)*(j - 4)*(j + 2)
Factor -r**5/4 - 13*r**4/4 - 23*r**3/4 - 11*r**2/4.
-r**2*(r + 1)**2*(r + 11)/4
Factor -3*m**2 - 15*m + 3978.
-3*(m - 34)*(m + 39)
Suppose 2*f**5 - 72*f**4 + 382*f**3 - 672*f**2 + 360*f = 0. Calculate f.
0, 1, 2, 3, 30
Factor -3*l**3/5 - 39*l**2/5 + 87*l/5 - 9.
-3*(l - 1)**2*(l + 15)/5
Determine y, given that -5*y**4 + 5*y**3 + 75*y**2 + 115*y + 50 = 0.
-2, -1, 5
Let 3*g**4/4 - 3*g**3 - 99*g**2/4 + 3*g + 24 = 0. What is g?
-4, -1, 1, 8
Factor -5*z**3 - 220*z**2 - 425*z - 210.
-5*(z + 1)**2*(z + 42)
Let 2*w**5/9 - 20*w**4/9 - 44*w**3/3 - 256*w**2/9 - 206*w/9 - 20/3 = 0. What is w?
-2, -1, 15
Suppose 4*g**2/3 - 488*g/3 + 14884/3 = 0. Calculate g.
61
Factor s**4 - 5*s**3 - 2*s**2 + 24*s.
s*(s - 4)*(s - 3)*(s + 2)
Suppose -2*x**3/9 + 806*x**2/9 - 80800*x/9 - 81608/9 = 0. Calculate x.
-1, 202
Factor 10*a**4 - 344*a**3 + 466*a**2 - 132*a.
2*a*(a - 33)*(a - 1)*(5*a - 2)
Find b such that 15*b**2 - 5*b = 0.
0, 1/3
Solve -3*v**4 + 51*v**3 - 183*v**2 - 351*v + 486 = 0 for v.
-2, 1, 9
Let 6*o**3 + 1497*o**2 - 2259*o = 0. What is o?
-251, 0, 3/2
Factor -2*x**2/7 - 4*x + 30/7.
-2*(x - 1)*(x + 15)/7
Factor -k**2/5 - 88*k/5 + 89/5.
-(k - 1)*(k + 89)/5
Factor i**4/11 + 56*i**3/11 + 1080*i**2/11 + 7776*i/11 + 11664/11.
(i + 2)*(i + 18)**3/11
Determine n, given that -2*n**5/3 - 34*n**4/3 - 188*n**3/3 - 380*n**2/3 - 322*n/3 - 98/3 = 0.
-7, -1
Solve -2*x**5/3 + 26*x**4 - 140*x**3/3 - 104*x**2 + 592*x/3 = 0 for x.
-2, 0, 2, 37
Factor -3*i**3/2 + 60*i**2 + 261*i/2 - 189.
-3*(i - 42)*(i - 1)*(i + 3)/2
Let 4*s**2/5 + 1432*s/5 + 1428/5 = 0. Calculate s.
-357, -1
Factor w**2 - 234*w - 711.
(w - 237)*(w + 3)
What is x in -282*x**4/13 + 52*x**3 - 512*x**2/13 + 124*x/13 - 6/13 = 0?
3/47, 1/3, 1
Determine p so that -5*p**5 + 20*p**4 - 25*p**3 + 10*p**2 = 0.
0, 1, 2
Solve -2*l**2/3 - 38*l - 1312/3 = 0.
-41, -16
Suppose 4*p**3/7 - 52*p**2 + 2376*p/7 - 288 = 0. What is p?
1, 6, 84
Factor 4*c**5 + 4*c**4 - 40*c**3 + 32*c**2.
4*c**2*(c - 2)*(c - 1)*(c + 4)
Determine d so that -2*d**4/3 - 266*d**3/3 - 784*d**2/3 - 520*d/3 = 0.
-130, -2, -1, 0
Find h such that -2*h**5 + 644*h**4 - 51842*h**3 = 0.
0, 161
Factor 10*q**4 + 34*q**3 + 42*q**2 + 22*q + 4.
2*(q + 1)**3*(5*q + 2)
Factor -2*u**2 - 6*u + 8.
-2*(u - 1)*(u + 4)
What is j in -2*j**2 - 44*j - 240 = 0?
-12, -10
Let -72*l**4 - 180*l**3 - 124*l**2 + 4*l + 20 = 0. Calculate l.
-1, -5/6, 1/3
Solve -y**5/4 - y**4/2 + 5*y**3/4 + 5*y**2/2 - y - 2 = 0.
-2, -1, 1, 2
Determine a, given that 45*a**4/4 + 435*a**3/4 + 85*a**2/2 - 215*a + 90 = 0.
-9, -2, 2/3
Solve 4*r**3 + 44*r**2 - 168*r = 0 for r.
-14, 0, 3
Solve 2*w**5/21 + 16*w**4/21 + 2*w**3 + 44*w**2/21 + 16*w/21 = 0.
-4, -2, -1, 0
Find c such that -2*c**2/3 + 668*c/3 - 55778/3 = 0.
167
Determine u so that -4*u**2 - 2288*u + 6900 = 0.
-575, 3
Let 8*h**4/3 - 28*h**3/3 - 92*h**2/3 + 112*h/3 + 80 = 0. What is h?
-2, -3/2, 2, 5
Factor -12168*x**3 - 156*x**2 - x/2.
-x*(156*x + 1)**2/2
Let 2*f**2 + 1502*f + 2996 = 0. What is f?
-749, -2
Let r**2 - 22*r + 40 = 0. What is r?
2, 20
Factor 4*y**3 + 52*y**2 + 128*y + 80.
4*(y + 1)*(y + 2)*(y + 10)
Determine p, given that 10*p**4 - 1615*p**3 + 64795*p**2 + 33615*p - 32805 = 0.
-1, 1/2, 81
Suppose -3*p**2 + 174*p - 2511 = 0. What is p?
27, 31
Factor 3*b**4 + 1374*b**3 - 1380*b**2 - 1374*b + 1377.
3*(b - 1)**2*(b + 1)*(b + 459)
Let -s**3/4 - 77*s**2/4 - 380*s - 361 = 0. Calculate s.
-38, -1
Factor 2*c**2/7 + 106*c/7 + 200.
2*(c + 25)*(c + 28)/7
Factor -5*j**2 - 110*j - 200.
-5*(j + 2)*(j + 20)
Factor 5*c**4 - 115*c**3 - 125*c**2 + 115*c + 120.
5*(c - 24)*(c - 1)*(c + 1)**2
Find z such that -4*z**3 + 144*z**2 + 624*z - 43264 = 0.
-16, 26
Factor s**2/4 - 871*s + 3483/4.
(s - 3483)*(s - 1)/4
Factor 2*l**2/9 - 68*l + 5202.
2*(l - 153)**2/9
Determine h so that 2*h**2 + 22*h + 60 = 0.
-6, -5
Let -4*n**2/5 - 211*n/5 + 53/5 = 0. What is n?
-53, 1/4
Factor 4*o**3 - 40*o**2 + 96*o.
4*o*(o - 6)*(o - 4)
Suppose -36*u**3 + 106*u**2 + 150*u + 8 = 0. What is u?
-1, -1/18, 4
Find b such that -5*b**3 + 170*b**2 - 600*b = 0.
0, 4, 30
Factor 5*q**3 - 40*q**2 - 100*q.
5*q*(q - 10)*(q + 2)
Find i such that -4*i**3/9 + 4*i/3 + 8/9 = 0.
-1, 2
Factor 2*x**3 - 12346*x**2 + 19046790*x + 19059138.
2*(x - 3087)**2*(x + 1)
Let -i**3/2 - 129*i**2 - 513*i/2 - 128 = 0. Calculate i.
-256, -1
Let -s**3 - s**2 + 82*s - 80 = 0. Calculate s.
-10, 1, 8
Factor d**2 - 548*d + 75076.
(d - 274)**2
Factor s**3/3 + 235*s**2/3 - 952*s/3 + 956/3.
(s - 2)**2*(s + 239)/3
Factor 24*u**2/7 - 6172*u/7 + 1028/7.
4*(u - 257)*(6*u - 1)/7
Factor -2*a**5/11 - 32*a**4/11 - 128*a**3/11.
-2*a**3*(a + 8)**2/11
Let 4*x**2 + 232*x = 0. What is x?
-58, 0
Factor -2*k**3 + 44*k**2 + 2*k - 44.
-2*(k - 22)*(k - 1)*(k + 1)
What is r in -2*r**4/7 + 24*r**3/7 + 120*r**2/7 - 704*r/7 - 384 = 0?
-4, 6, 14
Find i such that -i**3 + 29*i**2/3 - 61*i/3 + 35/3 = 0.
1, 5/3, 7
Factor k**3 + 10*k**2 + 23*k + 14.
(k + 1)*(k + 2)*(k + 7)
Suppose -5*r**5 + 15*r**4 - 15*r**3 + 5*r**2 = 0. Calculate r.
0, 1
Suppose 2*r**3/17 + 2*r**2/17 = 0. What is r?
-1, 0
Factor -119*m**3/4 + 60*m**2 - 123*m/4 + 1/2.
-(m - 1)**2*(119*m - 2)/4
Find g such that 5*g**3 - 65*g**2 = 0.
0, 13
Factor -4*r**3 - 64*r**2 + 4*r + 64.
-4*(r - 1)*(r + 1)*(r + 16)
Solve y**4/9 + 100*y**3/9 + 74*y**2/3 - 113900*y/9 + 1297321/9 = 0 for y.
-67, 17
What is v in -4*v**4 - 32*v**3 + 44*v**2 + 72*v = 0?
-9, -1, 0, 2
Factor 2*r**3/7 + 8*r**2/7 - 90*r + 3564/7.
2*(r - 9)**2*(r + 22)/7
Solve -i**3/6 - 10*i**2/3 - 11*i/2 + 9 = 0.
-18, -3, 1
Factor -2*y**5/5 - 6*y**4/5 - 6*y**3/5 - 2*y**2/5.
-2*y**2*(y + 1)**3/5
Factor x**3/8 + 39*x**2/8 + 399*x/8 + 361/8.
(x + 1)*(x + 19)**2/8
Let f**4/5 - 192*f**3/5 + 379*f**2/5 + 192*f/5 - 76 = 0. Calculate f.
-1, 1, 2, 190
Find c, given that -c**2/4 + 236*c/3 - 157/3 = 0.
2/3, 314
Factor -l**4/5 - 5*l**3 - 38*l**2/5 + 184*l/5.
-l*(l - 2)*(l + 4)*(l + 23)/5
Factor 5*u**3 + 5*u**2 - 80*u + 100.
5*(u - 2)**2*(u + 5)
Find w such that w**2 - 24*w - 217 = 0.
-7, 31
Solve -2*t**4/11 - 6*t**3/11 + 40*t**2/11 + 96*t/11 - 128/11 = 0 for t.
-4, 1, 4
Factor 3*n**3 + 39*n**2 + 90*n.
3*n*(n + 3)*(n + 10)
Solve 34347*a**3/4 + 102399*a**2/2 - 1923*a + 18 = 0 for a.
-6, 2/107
Factor -3*b**3/5 + 1497*b**2/5 - 36897*b - 567009/5.
-3*(b - 251)**2*(b + 3)/5
Factor -y**2 - 113*y/4 - 135/4.
-(y + 27)*(4*y + 5)/4
Factor -29*s**2 + 56*s + 4.
-(s - 2)*(29*s + 2)
Find q such that q**4/2 - 101*q**3/2 + 195*q**2/2 + 297*q/2 = 0.
-1, 0, 3, 99
Solve -12*w**5 + 88*w**4 - 88*w**3 - 352*w**2 + 484*w - 120 = 0 for w.
-2, 1/3, 1, 3, 5
Factor 3*u**3/2 - 18*u**2 + 81*u/2 + 60.
3*(u - 8)*(u - 5)*(u + 1)/2
Find c, given that 4*c**5 - 444*c**4 + 14936*c**3 - 89920*c**2 - 2035200*c - 3584000 = 0.
-7, -2, 40
Let -9*r**5 - 106*r**4 - 282*r**3 + 176*r**2 + 291*r - 70 = 0. Calculate r.
-7, -5, -1, 2/9, 1
Factor -4*l**2 + 1808*l - 204304.
-4*(l - 226)**2
Factor 6*o**4 - 10*o**3 - 68*o**2 + 48*o.
2*o*(o - 4)*(o + 3)*(3*o - 2)
Factor 7*v**3 + 9635*v**2 + 3317536*v + 1420032.
(v + 688)**2*(7*v + 3)
Factor n**5/3 - 4*n**4/3 - 11*n**3/3 - 2*n**2.
n**2*(n - 6)*(n + 1)**2/3
Factor 2*o**2/7 + 116*o/7.
2*o*(o + 58)/7
Determine i, given that 27*i**3 - 11790*i**2 + 7851*i - 1308 = 0.
1/3, 436
What is h in 2*h**5/7 + 6*h**4/7 - 22*h**3/7 - 6*h**2/7 + 20*h/7 = 0?
-5, -1, 0, 1, 2
Suppose 2*y**5/11 + 1432*y**4/11 + 259158*y**3/11 + 1006768*y**2/11 - 1267360*y/11 = 0. Calculate y.
-356, -5, 0, 1
Factor 12*t**3 + 48*t**2 - 57*t + 15.
3*(t + 5)*(2*t - 1)**2
Suppose x**5 - 38*x**4 + 358*x**3 + 112*x**2 - 1007*x - 722 = 0. What is x?
-1, 2, 19
Determine t so that -t**5/5 + 4*t**4/5 + 4*t**3/5 - 16*t**2/5 = 0.
-2, 0, 2, 4
Let -47*g**5/7 + 514*g**4/7 - 1941*g**3/7 + 3070*g**2/7 - 1676*g/7 - 120/7 = 0. Calculate g.
-3/47, 2, 5
Factor -