*2 + 9*r = 0.
-1, -3/5, 0
Determine a, given that -4*a**3 - 80*a**2 - 212*a - 136 = 0.
-17, -2, -1
Suppose -25*x**4/2 - 560*x**3 - 13589*x**2/2 - 11449*x = 0. What is x?
-107/5, -2, 0
Find p such that p**3/2 - 72*p**2 + 5037*p/2 + 5329 = 0.
-2, 73
Solve -2*m**2/3 - 13288*m/3 - 22071368/3 = 0 for m.
-3322
Factor j**5 + 5*j**4 - j**3 - 5*j**2.
j**2*(j - 1)*(j + 1)*(j + 5)
Factor -d**2 + 1409*d.
-d*(d - 1409)
Factor 6*v**2/5 - 174*v/5 + 324/5.
6*(v - 27)*(v - 2)/5
Let -3*u**2 + 66*u/7 - 9/7 = 0. What is u?
1/7, 3
Factor 2*y**3/11 + 18*y**2/11 + 12*y/11 - 32/11.
2*(y - 1)*(y + 2)*(y + 8)/11
Let -25*q**3/4 + 45*q**2 - 33*q/4 - 7/2 = 0. What is q?
-1/5, 2/5, 7
Factor 8*t**4/21 + 10*t**3/7 - 8*t**2/21.
2*t**2*(t + 4)*(4*t - 1)/21
Suppose -2*n**5 - 24*n**4 - 10*n**3 + 356*n**2 - 576*n + 256 = 0. What is n?
-8, 1, 2
Solve -75*s**5 - 1515*s**4 + 1323*s**3 + 1263*s**2 - 1248*s + 252 = 0 for s.
-21, -1, 2/5, 1
Determine n, given that n**2 - 39*n + 290 = 0.
10, 29
Solve 3*s**2/2 + 51*s/2 + 45 = 0.
-15, -2
Factor -5*o**5 - 45*o**4 - 120*o**3 - 100*o**2.
-5*o**2*(o + 2)**2*(o + 5)
Determine p so that -p**2/4 - 9*p/4 + 45/2 = 0.
-15, 6
Find x such that -3*x**5 + 150*x**4 - 1371*x**3 + 3276*x**2 = 0.
0, 4, 7, 39
Factor q**3/2 - 13*q**2/2 + 39*q/2 - 27/2.
(q - 9)*(q - 3)*(q - 1)/2
Factor -2*u**3/25 - 18*u**2/25 - 16*u/25.
-2*u*(u + 1)*(u + 8)/25
Solve -g**4 + 999*g**3 + 6018*g**2 + 12052*g + 8040 = 0 for g.
-2, 1005
Solve -2*d**5/11 - 14*d**4/11 - 2*d**3 + 38*d**2/11 + 120*d/11 + 72/11 = 0.
-3, -2, -1, 2
Factor r**4/5 - 14*r**3/5 - 31*r**2/5 - 16*r/5.
r*(r - 16)*(r + 1)**2/5
Factor -w**4 + 1138*w**3 + 1140*w**2 - 1138*w - 1139.
-(w - 1139)*(w - 1)*(w + 1)**2
Factor 2*n**2/7 - 1280*n/7 + 204800/7.
2*(n - 320)**2/7
Determine t so that 338*t**5/21 - 78*t**4/7 - 5504*t**3/21 - 8432*t**2/21 - 736*t/7 - 160/21 = 0.
-2, -2/13, 5
Determine l, given that 4*l**4/3 + 32*l**3/3 - 76*l**2/3 + 40*l/3 = 0.
-10, 0, 1
Let 2*n**3 + 2*n**2 - 4*n = 0. What is n?
-2, 0, 1
Let 2*f**4/11 - 164*f**3/11 + 3522*f**2/11 - 6560*f/11 + 3200/11 = 0. Calculate f.
1, 40
Factor 4*t**5 + 76*t**4 + 552*t**3 + 1880*t**2 + 2900*t + 1500.
4*(t + 1)*(t + 3)*(t + 5)**3
Solve 4*u**4 - 12*u**3 - 4*u**2 + 12*u = 0.
-1, 0, 1, 3
Solve -s**4/10 + 47*s**3/10 - 247*s**2/5 + 464*s/5 + 2112/5 = 0.
-2, 8, 33
Solve -8*v**5 - 2*v**4 + 176*v**3 - 148*v**2 - 408*v - 90 = 0.
-5, -1, -1/4, 3
Factor -s**2 + 24*s - 80.
-(s - 20)*(s - 4)
Suppose 2*k**2 - 10*k - 12 = 0. What is k?
-1, 6
Let w**3 + 52*w**2 + 621*w - 1458 = 0. Calculate w.
-27, 2
Let 4*v**2/3 + 8*v/3 = 0. What is v?
-2, 0
Determine p so that -2*p**5 + 68*p**4 - 130*p**3 + 64*p**2 = 0.
0, 1, 32
What is p in p**5/6 + 107*p**4/6 + 313*p**3/6 + 101*p**2/6 - 157*p/3 - 104/3 = 0?
-104, -2, -1, 1
Factor -2*c**3 - 106*c**2 + 1388*c - 1280.
-2*(c - 10)*(c - 1)*(c + 64)
Solve 20*d**2/7 - 186*d/7 + 54/7 = 0 for d.
3/10, 9
Suppose k**3/4 + 21*k**2/4 + 131*k/4 + 231/4 = 0. Calculate k.
-11, -7, -3
Determine o so that -2*o**4 + 36*o**3 - 234*o**2 + 648*o - 648 = 0.
3, 6
Find p such that 28*p**5/9 - 16*p**4/3 + 4*p**3/3 + 8*p**2/9 = 0.
-2/7, 0, 1
Factor 2*p**4/17 - 194*p**3 + 1361248*p**2/17 - 1357952*p/17.
2*p*(p - 824)**2*(p - 1)/17
Factor -2*t**2/7 + 40*t/7 - 200/7.
-2*(t - 10)**2/7
Determine d so that -5*d**4 - 128*d**3 - 73*d**2 + 50*d = 0.
-25, -1, 0, 2/5
Suppose 2*l**3/3 + 74*l**2/3 - 320*l/3 + 328/3 = 0. Calculate l.
-41, 2
Factor 2*d**3/5 + 102*d**2/5.
2*d**2*(d + 51)/5
Find l, given that -5*l**3 + 5355*l**2 - 1436475*l + 1431125 = 0.
1, 535
Let -55*a**4/6 + 160*a**3/3 - 145*a**2/2 - 15*a = 0. What is a?
-2/11, 0, 3
Factor 4*n**2/5 - 268*n/5 - 1752/5.
4*(n - 73)*(n + 6)/5
Find q such that -133*q**4/4 - 33*q**3 + q**2/4 = 0.
-1, 0, 1/133
Find f, given that -128*f**4/11 + 4256*f**3/11 - 1058*f**2/11 + 6*f = 0.
0, 1/8, 33
Factor -2*h**2/19 + 168*h/19 - 1480/19.
-2*(h - 74)*(h - 10)/19
Factor 4*u**3/5 + 588*u**2/5 + 28812*u/5 + 470596/5.
4*(u + 49)**3/5
Factor -3*h**3 + 10842*h**2 - 21675*h + 10836.
-3*(h - 3612)*(h - 1)**2
Factor -2*z**3 + 24*z**2 - 54*z.
-2*z*(z - 9)*(z - 3)
Suppose 2*a**3 - 348*a**2 + 342*a + 692 = 0. What is a?
-1, 2, 173
Factor -2*b**4/7 + 2*b**3/7 + 6*b**2/7 - 10*b/7 + 4/7.
-2*(b - 1)**3*(b + 2)/7
Find p such that 100*p**5/9 + 4730*p**4/9 + 3512*p**3/3 + 8434*p**2/9 + 2888*p/9 + 40 = 0.
-45, -1, -1/2, -2/5
Determine c, given that -4*c**2 - 52*c + 192 = 0.
-16, 3
Factor 7*c**3/2 + 27*c**2/2 + 12*c - 2.
(c + 2)**2*(7*c - 1)/2
Suppose 2*l**5 - 332*l**4 + 13430*l**3 + 29892*l**2 - 68544*l - 84672 = 0. What is l?
-3, -1, 2, 84
Find h such that 3*h**4 - 12*h**3 - 36*h**2 = 0.
-2, 0, 6
Find x such that -2*x**3/13 - 300*x**2/13 = 0.
-150, 0
Determine z so that 3*z**4/4 - 447*z**3/4 + 2181*z**2/4 - 3033*z/4 + 324 = 0.
1, 3, 144
Let -24*o**3/5 + 484*o**2/5 - 492*o/5 - 152 = 0. Calculate o.
-5/6, 2, 19
What is m in m**2/3 + 2326*m/3 + 1352569/3 = 0?
-1163
Factor -3*o**3/4 + 9*o**2 + 129*o/4 + 45/2.
-3*(o - 15)*(o + 1)*(o + 2)/4
Factor f**3/6 - 5*f**2/3 + 7*f/6 + 3.
(f - 9)*(f - 2)*(f + 1)/6
What is q in 9*q**4 - 33*q**3 + 18*q**2 = 0?
0, 2/3, 3
Factor z**2/4 - z/2 - 6.
(z - 6)*(z + 4)/4
What is s in -4*s**3/5 + 44*s**2/5 + 224*s/5 + 48 = 0?
-2, 15
Factor 12*x**3 + 4100*x**2 + 345376*x - 828352.
4*(x + 172)**2*(3*x - 7)
Factor 3*x**3 + 45*x**2 + 36*x - 84.
3*(x - 1)*(x + 2)*(x + 14)
Factor -4*a**4 + 560*a**3 - 1072*a**2 - 4416*a.
-4*a*(a - 138)*(a - 4)*(a + 2)
Let -2*z**4/3 - 2*z**3 + 16*z**2/3 + 8*z - 32/3 = 0. What is z?
-4, -2, 1, 2
Solve q**2/4 + 125*q/4 - 127/2 = 0.
-127, 2
Let 2*m**4/3 - 4*m**2 + 16*m/3 - 2 = 0. Calculate m.
-3, 1
Factor -16*k**2 + 300*k + 756.
-4*(k - 21)*(4*k + 9)
Factor g**4/5 - 3*g**3/5 + 2*g**2/5.
g**2*(g - 2)*(g - 1)/5
Solve -9*b**2/2 - 21*b/4 + 39/4 = 0 for b.
-13/6, 1
Determine p, given that 4*p**2/9 - 14584*p/9 + 13293316/9 = 0.
1823
Let 1445*g**5 + 3570*g**4 + 1440*g**3 + 160*g**2 = 0. What is g?
-2, -4/17, 0
Let -2*t**3/9 + 74*t**2/9 - 80*t + 72 = 0. Calculate t.
1, 18
Factor -h**3/4 - 699*h**2/4 - 30450*h + 30625.
-(h - 1)*(h + 350)**2/4
Factor s**2/4 + 45*s/4 + 43/2.
(s + 2)*(s + 43)/4
Factor 2*c**3 - 38*c**2 + 160*c + 200.
2*(c - 10)**2*(c + 1)
Suppose -2*x**5 - 12*x**4 - 18*x**3 - 8*x**2 = 0. What is x?
-4, -1, 0
What is q in q**4/6 - q**3 + 2*q**2/3 + 4*q - 16/3 = 0?
-2, 2, 4
Determine x, given that 9*x**4 - 156*x**3 - 129*x**2 + 384*x - 108 = 0.
-2, 1/3, 1, 18
Factor -14*c**4/5 - 892*c**3/5 + 256*c**2/5.
-2*c**2*(c + 64)*(7*c - 2)/5
Determine n so that -9*n**5 + 123*n**4 - 345*n**3 - 507*n**2 + 1818*n + 648 = 0.
-2, -1/3, 3, 4, 9
Solve -15*y**3 + 260*y**2 + 815*y - 300 = 0.
-3, 1/3, 20
Factor -2*z**4 - 20*z**3 + 46*z**2 - 24*z.
-2*z*(z - 1)**2*(z + 12)
Solve -36*m**2 - 37*m - 1 = 0 for m.
-1, -1/36
Determine n so that -2*n**3/3 + 40*n**2/3 + 2*n/3 - 40/3 = 0.
-1, 1, 20
Solve b**3/2 + 23*b**2/2 - 39*b = 0 for b.
-26, 0, 3
Suppose -3*f**5/2 - 15*f**4/2 + 2379*f**3/2 + 30147*f**2/2 - 1188*f - 15066 = 0. What is f?
-18, -1, 1, 31
Let -13*w**3 - 54*w**2 - 60*w - 8 = 0. Calculate w.
-2, -2/13
Solve -2*q**2/7 - 558*q/7 - 1108/7 = 0.
-277, -2
Find f such that 4*f**4 + 312*f**3 + 292*f**2 - 1248*f - 1232 = 0.
-77, -2, -1, 2
Suppose -3*b**3/4 - 19*b**2/2 + 209*b/4 - 51 = 0. Calculate b.
-17, 4/3, 3
Find w such that -2*w**3 - 6*w**2 + 90*w - 162 = 0.
-9, 3
Factor -2*f**4/19 - 6*f**3/19 + 8*f**2/19.
-2*f**2*(f - 1)*(f + 4)/19
Let s**3 - 6*s**2 + 9*s - 4 = 0. What is s?
1, 4
Factor -2*m**2/23 + 12*m - 414.
-2*(m - 69)**2/23
Solve -3*s**2/4 + 405*s - 54675 = 0.
270
What is s in -16*s**2 - 1412*s - 6972 = 0?
-83, -21/4
Factor 2*x**3/5 + 42*x**2/5 + 198*x/5 - 242/5.
2*(x - 1)*(x + 11)**2/5
Factor -37*q**3 + 36*q**2 + q.
-q*(q - 1)*(37*q + 1)
Factor -5*j**5 + 80*j**4 - 440*j**3 + 960*j**2 - 720*j.
-5*j*(j - 6)**2*(j - 2)**2
Factor -5*j**3 - 1640*j**2 + 3295*j - 1650.
-5*(j - 1)**2*(j + 330)
Factor 5*v**2 - 220*v - 225.
5*(v - 45)*(v + 1)
Factor -2*c**2/11 - 30*c + 5012/11.
-2*(c - 14)*(c + 179)/11
Suppose h**4 + 14*h**3 + 36*h**2 - 56*h - 160 = 0. What is h?
-10, -4, -2, 2
Factor 4232*l**2/7 + 5336*l/7 + 1682/7.
2*(46*l + 29)**2/7
Factor 3*q**5/4 - 9*q**4/4 + 9*q**3/4 - 3*q**2/4.
3*q**2*(q - 1)**3/4
Determine j so that 50*j**5/3 - 40*j**4/3 - 714*j**3 - 380*j**2/3 + 1336*j/3 - 112 = 0.
-6, -1, 2/5, 7
Factor -2*o**2 - 8*o - 6.
-