that 2*a**5 - 26*a**4 + 114*a**3 - 190*a**2 + 100*a = 0.
0, 1, 2, 5
Let s**4/7 + 12*s**3/7 + 6*s**2 + 52*s/7 + 3 = 0. Calculate s.
-7, -3, -1
Factor 3*y**2 + 6606*y + 3636603.
3*(y + 1101)**2
Factor 2*q**4/9 + 112*q**3/9 + 800*q**2/9 + 512*q/3.
2*q*(q + 4)**2*(q + 48)/9
Solve 5*m**5 - 45*m**4 + 150*m**3 - 230*m**2 + 165*m - 45 = 0.
1, 3
What is a in 2*a**4/5 - 42*a**3/5 + 6*a**2 + 194*a/5 + 24 = 0?
-1, 3, 20
Factor -i**2/5 - 3731*i/5 - 746.
-(i + 1)*(i + 3730)/5
Factor -b**2 - 6*b - 9.
-(b + 3)**2
Determine l, given that -5*l**4/3 + 335*l**3/3 - 5200*l**2/3 + 23500*l/3 = 0.
0, 10, 47
Suppose 10*f**4 - 146*f**3 + 194*f**2 + 194*f - 156 = 0. What is f?
-1, 3/5, 2, 13
Determine c, given that -c**4/5 - c**3 + 2*c**2 + 4*c - 24/5 = 0.
-6, -2, 1, 2
Find r such that 2*r**5 - 2*r**4 - 6*r**3 + 2*r**2 + 4*r = 0.
-1, 0, 1, 2
Let 5*g**3 + 20*g**2 - 95*g + 70 = 0. Calculate g.
-7, 1, 2
Solve 7*p**4 - 61*p**3 - 46*p**2 + 244*p + 72 = 0.
-2, -2/7, 2, 9
Let p**2/12 + p/2 + 5/12 = 0. Calculate p.
-5, -1
Find n, given that 2*n**2 + 64*n + 512 = 0.
-16
Factor -2*x**4/3 + 88*x**3/3 - 328*x**2/3 + 320*x/3.
-2*x*(x - 40)*(x - 2)**2/3
Factor f**3 + 21*f**2 + 72*f + 68.
(f + 2)**2*(f + 17)
Suppose -x**3/5 + 69*x**2 - 29583*x/5 - 29929/5 = 0. Calculate x.
-1, 173
Determine p, given that 2*p**3 - 246*p**2 + 10086*p - 137842 = 0.
41
Determine n, given that 4*n**3 - 60*n**2 + 192*n - 176 = 0.
2, 11
Suppose s**5/3 - s**4/6 - s**3/3 + s**2/6 = 0. What is s?
-1, 0, 1/2, 1
Let 3*j**5 - 2793*j**4 + 645870*j**3 + 1954398*j**2 + 1959999*j + 654267 = 0. What is j?
-1, 467
Factor 3*r**3/2 + 45*r**2/2 + 99*r + 120.
3*(r + 2)*(r + 5)*(r + 8)/2
Suppose 5*q**2/2 + 115*q/2 - 60 = 0. What is q?
-24, 1
Solve 5*h**5 + 150*h**4 - 5700*h**3 - 74200*h**2 + 2822400*h - 17781120 = 0 for h.
-36, 14
Factor -4*m**2/7 - 76*m/7 - 192/7.
-4*(m + 3)*(m + 16)/7
Determine o so that 5*o**3 - 390*o**2 + 9765*o - 76880 = 0.
16, 31
Factor 2*b**4/7 - 6*b**3/7 - 4*b**2/7 + 24*b/7 - 16/7.
2*(b - 2)**2*(b - 1)*(b + 2)/7
Factor -h**3/5 + 833*h**2/5 - 34611*h - 173889/5.
-(h - 417)**2*(h + 1)/5
Suppose -4*s**4 - 275*s**3 - 4827*s**2 - 3400*s + 1156 = 0. What is s?
-34, -1, 1/4
Solve -2*x**5/5 - 12*x**4/5 - 18*x**3/5 - 8*x**2/5 = 0 for x.
-4, -1, 0
Factor 12*f**4 - 22*f**3 + 10*f**2.
2*f**2*(f - 1)*(6*f - 5)
Suppose v**4/6 - 16*v**3/3 + 92*v**2/3 + 192*v + 216 = 0. What is v?
-2, 18
Determine a so that 5*a**2/6 - 220*a/3 + 4840/3 = 0.
44
Determine v so that -3*v**2/8 - 291*v/8 + 147/4 = 0.
-98, 1
Factor -2*w**2/9 - 70*w/9 - 248/9.
-2*(w + 4)*(w + 31)/9
Factor -5*j**2 + 450*j - 1305.
-5*(j - 87)*(j - 3)
Suppose 9*m**3/4 - 3*m**2/4 - 2025*m/4 + 675/4 = 0. Calculate m.
-15, 1/3, 15
Factor 2*w**4/7 + 340*w**3/7 + 144*w**2 + 1004*w/7 + 334/7.
2*(w + 1)**3*(w + 167)/7
Factor l**4/11 - 346*l**3/11 + 3060*l**2/11 - 9126*l/11 + 9099/11.
(l - 337)*(l - 3)**3/11
Factor 4*h**3/7 - 368*h**2/7 + 8464*h/7.
4*h*(h - 46)**2/7
Let -3*b**2/2 + 183*b/2 - 420 = 0. Calculate b.
5, 56
Factor 4*f**3 + 1236*f**2 + 1232*f.
4*f*(f + 1)*(f + 308)
Find c such that 2*c**3/13 - 12*c**2/13 = 0.
0, 6
Let 2*s**4/7 - 150*s**3/7 + 4002*s**2/7 - 43378*s/7 + 146004/7 = 0. What is s?
6, 23
Determine y, given that 2*y**5/11 + 20*y**4/11 + 58*y**3/11 + 64*y**2/11 + 24*y/11 = 0.
-6, -2, -1, 0
Find f, given that -3*f**5 - 25*f**4/3 + 218*f**3 - 576*f**2 + 352*f/3 = 0.
-11, 0, 2/9, 4
Factor -2*k**3/9 - 4*k**2/3 - 22*k/9 - 4/3.
-2*(k + 1)*(k + 2)*(k + 3)/9
Determine d so that -3*d**4/4 = 0.
0
Find h, given that -h**3/5 + 5*h**2 + 1353*h/5 - 1377/5 = 0.
-27, 1, 51
Find x such that -2*x**3/7 + 2*x + 12/7 = 0.
-2, -1, 3
Factor s**3/3 - 42*s**2 + 1364*s - 7688/3.
(s - 62)**2*(s - 2)/3
Factor -2*u**4/7 - 316*u**3/7 - 314*u**2/7.
-2*u**2*(u + 1)*(u + 157)/7
Solve 2*g**4 - 38*g**3 - 40*g**2 = 0.
-1, 0, 20
Factor -3*w**2 - 4260*w - 1512300.
-3*(w + 710)**2
Determine h so that 20*h**4/9 - 12*h**3 + 40*h**2/3 - 32*h/9 = 0.
0, 2/5, 1, 4
What is s in -s**5 + 16*s**4 + 77*s**3 + 64*s**2 - 76*s - 80 = 0?
-2, -1, 1, 20
Factor -d**2/8 + 61*d/8.
-d*(d - 61)/8
Factor -4*n**2 + 16*n + 20.
-4*(n - 5)*(n + 1)
What is m in -2*m**2 - 17392*m - 37810208 = 0?
-4348
Solve -14*m**3/3 - 174*m**2 - 148*m/3 = 0 for m.
-37, -2/7, 0
Determine d so that -118*d**3/3 + 232*d**2/3 - 110*d/3 - 4/3 = 0.
-2/59, 1
Let -2*k**3/9 - 2*k**2/9 + 8*k/9 + 8/9 = 0. What is k?
-2, -1, 2
Find c, given that -4*c**2/5 - 4*c + 24/5 = 0.
-6, 1
Suppose 4*s**5/7 - 72*s**4/7 + 372*s**3/7 - 16*s**2 - 336*s = 0. Calculate s.
-2, 0, 6, 7
What is u in -u**3/5 + 318*u**2/5 + 1284*u/5 + 1288/5 = 0?
-2, 322
Solve l**3/10 + 3*l**2/2 + 31*l/5 + 24/5 = 0 for l.
-8, -6, -1
Factor -2*l**4/9 + 652*l**3/9 - 1298*l**2/9 + 72*l.
-2*l*(l - 324)*(l - 1)**2/9
Suppose -765*w**3 + 1315*w**2 + 420*w + 20 = 0. Calculate w.
-2/9, -1/17, 2
Find p, given that -4*p**4 - 88*p**3 - 368*p**2 - 488*p - 204 = 0.
-17, -3, -1
Factor -2*z**3/15 + 4*z**2/15 + 2*z/15 - 4/15.
-2*(z - 2)*(z - 1)*(z + 1)/15
Find o, given that -4*o**2/7 - 984*o/7 - 60516/7 = 0.
-123
Find z such that 4*z**5 - 28*z**4 + 64*z**3 - 48*z**2 = 0.
0, 2, 3
Factor -3*r**3/4 - 42*r**2 - 2775*r/4 - 5625/2.
-3*(r + 6)*(r + 25)**2/4
Factor -3*j**2/5 + 1563*j/5 + 1566/5.
-3*(j - 522)*(j + 1)/5
Factor 5*n**5 + 150*n**4 - 320*n**3 + 10*n**2 + 315*n - 160.
5*(n - 1)**3*(n + 1)*(n + 32)
Factor -3*z**3/8 + 15*z**2/4 - 27*z/8.
-3*z*(z - 9)*(z - 1)/8
Factor -3*f**4 - 42*f**3 - 165*f**2 - 126*f.
-3*f*(f + 1)*(f + 6)*(f + 7)
Factor -m**2/4 + 35*m/4 + 9.
-(m - 36)*(m + 1)/4
Determine r so that 14*r**4/15 - 116*r**3/15 + 40*r**2/3 - 16*r/5 = 0.
0, 2/7, 2, 6
Find v such that -v**3 + 224*v**2 - 1317*v + 1962 = 0.
3, 218
Factor 4*s**3 + 1152*s**2 + 3428*s + 2280.
4*(s + 1)*(s + 2)*(s + 285)
Factor 2*a**2/13 + 1182*a/13 - 1184/13.
2*(a - 1)*(a + 592)/13
Factor g**2/6 - 19*g/3 + 361/6.
(g - 19)**2/6
Find w, given that -w**5/4 + 3*w**4/2 - 3*w**3/2 - 4*w**2 + 15*w/4 + 9/2 = 0.
-1, 2, 3
What is t in -147*t**4/5 - 8918*t**3/5 - 5868*t**2/5 + 728*t/5 + 96 = 0?
-60, -2/3, -2/7, 2/7
Find t such that -t**4/8 + 43*t**3/4 + 635*t**2/8 + 369*t/2 + 279/2 = 0.
-3, -2, 93
Factor 2*p**2 + 274*p/7 + 612/7.
2*(p + 17)*(7*p + 18)/7
Find j, given that 4*j**3 - 692*j**2 = 0.
0, 173
Factor -2*y**3/9 + 14*y**2/3 - 80*y/3 + 200/9.
-2*(y - 10)**2*(y - 1)/9
Solve 4*j**2 + 248*j + 3844 = 0 for j.
-31
Suppose 12*k**4 - 128*k**3 - 4*k**2 + 2408*k - 1568 = 0. Calculate k.
-4, 2/3, 7
Solve 3*g**3/5 + 129*g**2/5 + 366*g/5 + 48 = 0.
-40, -2, -1
Factor 5*k**3 + 2855*k**2 + 406120*k - 408980.
5*(k - 1)*(k + 286)**2
Factor -3*l**2 - 18*l + 48.
-3*(l - 2)*(l + 8)
What is t in 6*t**2 - 8512*t - 2838 = 0?
-1/3, 1419
Suppose -o**5/3 + o**4 + 17*o**3 + 37*o**2/3 - 30*o = 0. What is o?
-5, -2, 0, 1, 9
Determine u, given that -28*u**4 - 78*u**3 - 66*u**2 - 10*u + 6 = 0.
-1, 3/14
Let 3*q**3 + 12*q**2 - 15*q = 0. What is q?
-5, 0, 1
Factor 9*g**2/4 - 105*g/4 + 33/2.
3*(g - 11)*(3*g - 2)/4
Determine p, given that -25*p**3 - 84235*p**2 - 117890*p - 33680 = 0.
-3368, -1, -2/5
Determine a, given that -10*a**4/7 + 2*a**3/7 = 0.
0, 1/5
Factor 5*s**2/2 + 1185*s + 280845/2.
5*(s + 237)**2/2
Factor -4*a**2 + 1216*a + 1220.
-4*(a - 305)*(a + 1)
Let 2*w**5/3 + 64*w**4/3 - 94*w**3 + 72*w**2 = 0. Calculate w.
-36, 0, 1, 3
What is l in l**5/7 - 33*l**4/7 + 317*l**3/7 - 105*l**2 + 450*l/7 = 0?
0, 1, 2, 15
Factor 2*o**2/7 + 25164*o/7 + 79153362/7.
2*(o + 6291)**2/7
Determine n so that 5*n**2 + 50*n + 125 = 0.
-5
Find d such that 147*d**4/4 + 6363*d**3/4 + 1809*d**2/4 + 129*d/4 = 0.
-43, -1/7, 0
Determine b, given that 25*b**4 - 560*b**3 - 1595*b**2 - 750*b = 0.
-2, -3/5, 0, 25
Factor -p**3/8 - 11*p**2/8 - 5*p/4.
-p*(p + 1)*(p + 10)/8
Factor 3*h**2/5 - 231*h/5 - 234/5.
3*(h - 78)*(h + 1)/5
Factor -2*l**3/15 + 50*l**2 - 748*l/15.
-2*l*(l - 374)*(l - 1)/15
Let -3*x**5 - 33*x**4 + 78*x**3 - 6*x**2 - 75*x + 39 = 0. What is x?
-13, -1, 1
Factor -k**2/3 + 116*k + 1071.
-(k - 357)*(k + 9)/3
What is z in 2*z**2 + 14*z + 12 = 0?
-6, -1
Determine d, given that -d**4/8 + 11*d**3/8 + 661*d**2/4 + 3393*d/2 - 1863 = 0.
-18, 1, 46
What is c in -125*c**5/6 + 325*c**4/6 + 75*c**3/2 - 229*c**2/6 + 4*c/3 + 2 = 0?
-1, -1/5, 2/5, 3
Solve -2*q**3/3 + 26*q**2/3 + 260*q/3 + 400/3 = 0.
-5, -2, 20
Factor k**3/3 - 1882*k**2/3 - k/3 + 1882/3.
(k - 1882)*(k - 1)*(k + 1)/3
Suppose