 18.
-3*(q + 2)*(35*q + 3)
Factor -3*c**3/2 - 459*c**2/2 - 23409*c/2 - 397953/2.
-3*(c + 51)**3/2
Factor -5*w**4 - 75*w**3.
-5*w**3*(w + 15)
Factor -m**4/2 - 33*m**3/2 - 108*m**2 - 200*m.
-m*(m + 4)**2*(m + 25)/2
Solve -8*n**4 - 126*n**3 + 320*n**2 - 72*n = 0.
-18, 0, 1/4, 2
Factor -o**4/3 + 23*o**3/3 - 94*o**2/3 + 24*o.
-o*(o - 18)*(o - 4)*(o - 1)/3
Find c such that -18*c**3/7 + 7752*c**2/7 + 1480*c + 3456/7 = 0.
-2/3, 432
Determine s so that -3*s**4 - 6*s**3 + 57*s**2 - 84*s + 36 = 0.
-6, 1, 2
Factor -3*k**2 + 813*k + 2466.
-3*(k - 274)*(k + 3)
Let 5*j**3/2 - 230*j**2 - 935*j/2 - 235 = 0. What is j?
-1, 94
Find i such that 14*i**5/3 - 263*i**4/3 - 127*i**3 + 830*i**2/3 - 200*i/3 = 0.
-5/2, 0, 2/7, 1, 20
Let 2*p**5/7 - 110*p**4/7 + 2204*p**3/7 - 18628*p**2/7 + 48994*p/7 + 69938/7 = 0. Calculate p.
-1, 11, 17
Let 18*q**5/7 - 6*q**4 - 3778*q**3/7 - 2502*q**2/7 - 416*q/7 = 0. What is q?
-13, -1/3, 0, 16
Determine p, given that -4*p**3 - 24*p**2 - 48*p - 32 = 0.
-2
Suppose 2*p**2/9 - 44*p/9 - 32/3 = 0. Calculate p.
-2, 24
Solve 2*v**4/7 + 4*v**3/7 - 2*v**2/7 - 4*v/7 = 0.
-2, -1, 0, 1
Solve -u**4/6 - 8*u**3/3 + 17*u**2/6 = 0 for u.
-17, 0, 1
Factor -4*b**2 - 112*b/5 - 12.
-4*(b + 5)*(5*b + 3)/5
Factor -34*s**3 + 30*s**2 + 72*s + 8.
-2*(s - 2)*(s + 1)*(17*s + 2)
Factor -2*w**4/3 + 40*w**3 - 708*w**2 + 3240*w - 4374.
-2*(w - 27)**2*(w - 3)**2/3
Determine u, given that 4*u**2 + 1340*u + 3984 = 0.
-332, -3
What is a in -a**2/3 - 5636*a/3 - 7941124/3 = 0?
-2818
Determine n so that -2*n**4/7 + 2*n**3 + 52*n**2/7 - 144*n/7 = 0.
-4, 0, 2, 9
Factor j**3 + 29*j**2/5 + 22*j/5 - 56/5.
(j - 1)*(j + 4)*(5*j + 14)/5
Suppose 5*r**3 - 80*r = 0. Calculate r.
-4, 0, 4
Let -3*k**5/5 - 3*k**4 - 18*k**3/5 = 0. What is k?
-3, -2, 0
Factor -b**4/3 - 2*b**3/3 + b**2.
-b**2*(b - 1)*(b + 3)/3
Find i, given that 5*i**5 - 72*i**4 - 247*i**3 + 450*i**2 - 136*i = 0.
-4, 0, 2/5, 1, 17
Determine b, given that 4*b**5 = 0.
0
Find v, given that -v**4/6 - 19*v**3/6 - 41*v**2/2 - 111*v/2 - 54 = 0.
-9, -4, -3
Solve 2*f**4/5 + 732*f**3 + 1674448*f**2/5 - 732*f - 334890 = 0.
-915, -1, 1
Find y such that -2*y**5/7 + 46*y**4/7 + 204*y**3/7 + 316*y**2/7 + 214*y/7 + 54/7 = 0.
-1, 27
Let 2*y**3/3 + 4*y**2/3 - 2*y/3 - 4/3 = 0. What is y?
-2, -1, 1
Factor 2*i**2/19 - 340*i/19 - 688/19.
2*(i - 172)*(i + 2)/19
Factor -4*p**3/5 - 32*p**2/5 - 36*p/5 + 72/5.
-4*(p - 1)*(p + 3)*(p + 6)/5
Solve -x**3/4 - 32*x**2 - 4453*x/4 - 11163/2 = 0.
-61, -6
Let -76*v**2 + 74*v + 2 = 0. What is v?
-1/38, 1
Factor 3*k**4/8 - 15*k**3/2 + 111*k**2/8 - 27*k/4.
3*k*(k - 18)*(k - 1)**2/8
Factor -3*d**5/8 - 3*d**4/2 + 30*d**3 + 24*d**2 - 768*d + 1536.
-3*(d - 4)**3*(d + 8)**2/8
Suppose -w**3/2 + w**2 + 4*w = 0. What is w?
-2, 0, 4
Let -2*p**2 - 512*p + 514 = 0. Calculate p.
-257, 1
Find v, given that -v**2/4 - 233*v/4 - 345/2 = 0.
-230, -3
What is k in -2*k**5 + 2*k**4 + 8*k**3 - 8*k**2 = 0?
-2, 0, 1, 2
What is c in -2*c**3/19 - 2*c**2/19 + 2*c/19 + 2/19 = 0?
-1, 1
Factor -5*m**3 + 5*m**2 + 5*m - 5.
-5*(m - 1)**2*(m + 1)
Find x such that 3*x**4 - 24*x**3 - 27*x**2 = 0.
-1, 0, 9
Factor -2*f**2/9 - 148*f/9 - 2738/9.
-2*(f + 37)**2/9
What is o in -5*o**4 + 68*o**3 - 172*o**2 - 80*o = 0?
-2/5, 0, 4, 10
Let 2*o**2/3 - 1144*o/3 + 163592/3 = 0. Calculate o.
286
Factor 5*d**2 - 1715*d - 5190.
5*(d - 346)*(d + 3)
What is s in 6*s**5 - 316*s**4 + 4414*s**3 - 10304*s**2 + 8600*s - 2400 = 0?
2/3, 1, 20, 30
Factor 2*k**4/5 + 2*k**3/5 - 6*k**2/5 - 2*k - 4/5.
2*(k - 2)*(k + 1)**3/5
Factor 2*c**2/5 + 22*c + 1292/5.
2*(c + 17)*(c + 38)/5
Factor 2*n**4/13 + 6022*n**3/13 + 6042072*n**2/13 + 155234464*n - 2024096128/13.
2*(n - 1)*(n + 1004)**3/13
Let 36*j**5 - 4584*j**4 + 1420*j**3 + 13320*j**2 - 14256*j + 4064 = 0. What is j?
-2, 2/3, 1, 127
Suppose -2*s**2/23 + 122*s/23 = 0. Calculate s.
0, 61
Factor w**3/2 - 33*w**2/2 + 59*w/2 + 93/2.
(w - 31)*(w - 3)*(w + 1)/2
Factor 3*q**2/4 - 4035*q/2 + 8067/4.
3*(q - 2689)*(q - 1)/4
Factor 3*f**2 - 90*f - 1677.
3*(f - 43)*(f + 13)
Let -w**2/6 + 5*w + 31/6 = 0. What is w?
-1, 31
Let 22*w**4 - 1136*w**3 - 4568*w**2/11 - 416*w/11 = 0. What is w?
-2/11, 0, 52
Solve -l**5/3 - 2*l**4 - 3*l**3 - 4*l**2/3 = 0 for l.
-4, -1, 0
Let -4*n**3 - 112*n**2 + 124*n + 232 = 0. What is n?
-29, -1, 2
Factor -4*d**2 - 488*d - 960.
-4*(d + 2)*(d + 120)
Find m, given that -m**2 + 4*m + 45 = 0.
-5, 9
Solve -a**2/4 + 14*a - 255/4 = 0 for a.
5, 51
Suppose 10*c**5/9 + 6*c**4 + 100*c**3/9 + 8*c**2 + 16*c/9 = 0. What is c?
-2, -1, -2/5, 0
Determine y, given that -5*y**2 - 575*y - 570 = 0.
-114, -1
Factor -9*q**3 - 33*q**2.
-3*q**2*(3*q + 11)
What is h in -h**2 - 99*h + 412 = 0?
-103, 4
Factor -h**4 + 9*h**2.
-h**2*(h - 3)*(h + 3)
Factor 2*w**3/5 + 18*w**2/5.
2*w**2*(w + 9)/5
Suppose 16*c**4 - 52*c**3 + 60*c**2 - 28*c + 4 = 0. Calculate c.
1/4, 1
Find o, given that 2*o**2 + 166*o + 164 = 0.
-82, -1
Factor 4*i**3/9 + 16*i**2/3 + 68*i/9 - 40.
4*(i - 2)*(i + 5)*(i + 9)/9
Factor 5*y**3 - 680*y**2.
5*y**2*(y - 136)
Let 3*m**5 + 54*m**4 + 303*m**3 + 576*m**2 + 324*m = 0. Calculate m.
-9, -6, -2, -1, 0
Determine h, given that 15*h**2 - 831*h/7 - 246/7 = 0.
-2/7, 41/5
Factor -10*y**3 + 15*y**2 - 5*y.
-5*y*(y - 1)*(2*y - 1)
Solve 2*z**3/5 - 32*z**2/5 + 34*z - 60 = 0 for z.
5, 6
Suppose 5*q**4 - 605*q**3 + 600*q**2 = 0. Calculate q.
0, 1, 120
Let 2*t**2 + 1712*t + 366368 = 0. What is t?
-428
Factor -q**3 - 46*q**2 + q + 46.
-(q - 1)*(q + 1)*(q + 46)
Solve -14*i**2/9 + 44*i/3 - 160/9 = 0.
10/7, 8
Factor -t**3 - 97*t**2/3 - 22*t/3 + 320/3.
-(t + 2)*(t + 32)*(3*t - 5)/3
Let -4*u**5 + 104*u**4 + 796*u**3 - 896*u**2 = 0. Calculate u.
-7, 0, 1, 32
Find s, given that 3*s**2 + 123*s + 234 = 0.
-39, -2
Find b, given that -b**3 - 5*b**2 + 6*b = 0.
-6, 0, 1
Factor 2*l**4/15 + 8*l**3/3 + 84*l**2/5 + 392*l/15 - 686/15.
2*(l - 1)*(l + 7)**3/15
Factor j**4 + 66*j**3/5 + 9*j**2/5 - 52*j/5.
j*(j + 1)*(j + 13)*(5*j - 4)/5
Suppose 2*g**3/9 - 2*g/3 + 4/9 = 0. What is g?
-2, 1
Factor -2*m**4 - 56*m**3 - 564*m**2 - 2376*m - 3402.
-2*(m + 3)*(m + 7)*(m + 9)**2
Solve -2*s**5/13 - 2*s**4 - 118*s**3/13 - 238*s**2/13 - 216*s/13 - 72/13 = 0 for s.
-6, -3, -2, -1
Let 2*j**5/3 + 10*j**4 - 44*j**3/3 - 1220*j**2/3 + 814*j - 1210/3 = 0. What is j?
-11, 1, 5
Factor 2*b**3/11 + 1224*b**2/11 + 249696*b/11 + 16979328/11.
2*(b + 204)**3/11
Factor -52*t**2/3 + 20*t + 112/3.
-4*(t + 1)*(13*t - 28)/3
Determine c so that -4*c**3/9 + 8*c**2/3 - 20*c/9 = 0.
0, 1, 5
Solve 2*a**2/7 + 14054*a/7 + 14052/7 = 0 for a.
-7026, -1
What is m in -4*m**2 + 452*m - 1744 = 0?
4, 109
What is d in -5*d**2 + 5710*d - 5705 = 0?
1, 1141
Let -5*l**2 - 7930*l - 3144245 = 0. What is l?
-793
Suppose 2*l**3/5 + 88*l**2/5 + 106*l + 444/5 = 0. What is l?
-37, -6, -1
Suppose -3*y**5 + 102*y**4 + 219*y**3 - 102*y**2 - 216*y = 0. What is y?
-2, -1, 0, 1, 36
Find d, given that 2*d**4 + 15*d**3 + 36*d**2 + 27*d = 0.
-3, -3/2, 0
Factor -d**4 - 3*d**3/5 + 2*d**2/5.
-d**2*(d + 1)*(5*d - 2)/5
Solve 2*p**4 + 10*p**3 - 16*p**2 - 24*p = 0.
-6, -1, 0, 2
Determine h, given that -h**3 + 20*h**2/3 + 7*h/3 = 0.
-1/3, 0, 7
Factor -2*n**3/11 + 568*n**2/11 - 41440*n/11 + 156800/11.
-2*(n - 140)**2*(n - 4)/11
Let 3*f**2 + 183*f/7 + 390/7 = 0. Calculate f.
-5, -26/7
Let 3*d**2 - 3*d - 60 = 0. What is d?
-4, 5
Factor -2*a**4 - 24*a**3 - 20*a**2 + 24*a + 22.
-2*(a - 1)*(a + 1)**2*(a + 11)
Find l, given that -10*l**4 + 4408*l**3/3 - 4082*l**2/3 - 880*l/3 + 584/3 = 0.
-2/5, 1/3, 1, 146
Factor -r**2 - 90*r - 2025.
-(r + 45)**2
Solve 4*v**5 - 8*v**4 + 8*v**2 - 4*v = 0 for v.
-1, 0, 1
Find j such that 5*j**5/3 + 15*j**4 = 0.
-9, 0
Solve 2*f**2/21 - 24*f/7 = 0.
0, 36
Determine k, given that -k**5/2 - 2*k**4 - 2*k**3 = 0.
-2, 0
Find u, given that 2*u**5 + 34*u**4 - 38*u**3 - 34*u**2 + 36*u = 0.
-18, -1, 0, 1
Find r such that -2*r**2/5 - 44*r/5 - 42 = 0.
-15, -7
Factor -j**4 + 26*j**3 - 23*j**2 - 50*j.
-j*(j - 25)*(j - 2)*(j + 1)
Factor d**2/9 - 86*d/9 + 1849/9.
(d - 43)**2/9
Factor -o**2/5 + 9/5.
-(o - 3)*(o + 3)/5
Factor -5*j**4 + 110*j**3 - 185*j**2 - 300*j.
-5*j*(j - 20)*(j - 3)*(j + 1)
Factor -j**4 - 6*j**3 - 9*j**2.
-j**2*(j + 3)**2
Find d such that 4*d**3/7 + 5104*d**2/7 - 4*d/7 - 5104/7 = 0.
-1276, -1, 1
Let -2*a**4/9 - 34*a**3/9 - 14*a**2/9 + 34*a + 32 = 0. Calculate a.
-16, -3, -1, 3
Factor -361*a**4/11 + 2014*a**3/11 - 2353