9*g**2/2 - 277*g/4 + 69/4.
-(g - 69)*(g - 1)**4/4
Find j such that j**3/4 + 3*j**2/2 - 63*j/4 - 98 = 0.
-7, 8
Let 3*a**5/5 - 24*a**4/5 + 54*a**3/5 - 12*a**2/5 - 57*a/5 + 36/5 = 0. Calculate a.
-1, 1, 3, 4
Find l, given that -l**4/3 + 44*l**3/3 - 388*l**2/3 - 704*l - 768 = 0.
-2, 24
Let 2*d**5 + 464*d**4/5 + 994*d**3/5 - 2716*d**2/5 + 544*d/5 + 704/5 = 0. Calculate d.
-44, -4, -2/5, 1
Let v**2/4 - 17*v/4 - 9/2 = 0. What is v?
-1, 18
Suppose 2*h**2 + 56*h + 342 = 0. What is h?
-19, -9
What is q in -8*q**3 - 76*q**2 - 180*q - 72 = 0?
-6, -3, -1/2
Solve -w**2 - 8*w - 12 = 0.
-6, -2
Solve n**4/5 + 3*n**3 + 68*n**2/5 + 96*n/5 = 0.
-8, -4, -3, 0
Solve -5*n**2 + 45*n = 0 for n.
0, 9
Suppose 2*m**2/7 - 80*m + 558/7 = 0. Calculate m.
1, 279
Solve -4*t**4 - 16*t**3 - 12*t**2 + 16*t + 16 = 0 for t.
-2, -1, 1
Factor -m**5/3 + 2*m**4/3 - 2*m**2/3 + m/3.
-m*(m - 1)**3*(m + 1)/3
Determine x so that 2*x**2 - 390*x + 388 = 0.
1, 194
Factor -z**3/11 + 16*z**2/11 - 25*z/11 - 42/11.
-(z - 14)*(z - 3)*(z + 1)/11
Factor 4*q**4 - 8*q**3 + 8*q - 4.
4*(q - 1)**3*(q + 1)
Factor 3*q**4 - 1194*q**3 + 119964*q**2 - 225720*q - 940896.
3*(q - 198)**2*(q - 4)*(q + 2)
Factor 44*c**3 + 20892*c**2 - 24744*c + 3808.
4*(c - 1)*(c + 476)*(11*c - 2)
Factor -3*l**3/4 + 3*l**2/2 + 15*l + 18.
-3*(l - 6)*(l + 2)**2/4
Factor -2*t**3 + 298*t**2 - 590*t + 294.
-2*(t - 147)*(t - 1)**2
Let 3*s**5/4 - 117*s**4/4 + 1149*s**3/4 + 681*s**2/4 - 3762*s - 5415 = 0. Calculate s.
-2, 5, 19
Factor -3*s**3/5 + 504*s**2/5 + 4176*s/5 + 8448/5.
-3*(s - 176)*(s + 4)**2/5
Determine h so that 361*h**4 + 3686*h**3 - 3207*h**2 - 796*h - 44 = 0.
-11, -2/19, 1
Factor a**3 - 25*a**2 + 112*a + 588.
(a - 14)**2*(a + 3)
Factor j**3/2 - 213*j**2/2 + 11235*j/2 + 11449/2.
(j - 107)**2*(j + 1)/2
Find d, given that 3*d**5/2 + 69*d**4/2 + 345*d**3/2 - 801*d**2/2 - 1188*d - 648 = 0.
-12, -1, 3
Suppose 12*j**5 + 68*j**4 - 312*j**3 + 408*j**2 - 212*j + 36 = 0. What is j?
-9, 1/3, 1
Let -r**3/6 + 5*r**2/3 - 11*r/2 + 6 = 0. Calculate r.
3, 4
Factor 18*a**3 + 112*a**2 + 210*a + 116.
2*(a + 1)*(a + 2)*(9*a + 29)
Factor t**2 + 108*t + 107.
(t + 1)*(t + 107)
Factor -2*j**4/9 - 44*j**3/3 - 680*j**2/3 + 4624*j/9.
-2*j*(j - 2)*(j + 34)**2/9
Suppose 8*p**4/15 + 14*p**3/15 - 4*p**2/15 = 0. Calculate p.
-2, 0, 1/4
What is f in 36*f**2 - 33*f - 3 = 0?
-1/12, 1
Solve -5*f**3 + 500*f**2 - 1935*f + 1440 = 0.
1, 3, 96
Solve -q**5/3 + q**4/3 + q**3 - q**2/3 - 2*q/3 = 0 for q.
-1, 0, 1, 2
Let m**2 - 55*m - 650 = 0. Calculate m.
-10, 65
Factor -4*r**4 - 19*r**3 - 12*r**2.
-r**2*(r + 4)*(4*r + 3)
Let -5*z**4 + 10*z**3 = 0. What is z?
0, 2
Let 9*k**3 + 231*k**2 + 366*k + 144 = 0. Calculate k.
-24, -1, -2/3
Find n such that 3*n**4 - 18*n**3 + 21*n**2 + 18*n - 24 = 0.
-1, 1, 2, 4
Let s**2/3 + 26*s/3 + 169/3 = 0. What is s?
-13
Find d such that 2*d**5 - 26*d**4 - 34*d**3 + 74*d**2 + 136*d + 56 = 0.
-1, 2, 14
Solve 9*x**4/2 - 159*x**3/2 + 243*x**2/2 - 45*x/2 - 24 = 0.
-1/3, 1, 16
Solve 2*b**2/7 - 6676*b/7 = 0.
0, 3338
Factor 3*y**3/4 - 21*y**2 + 147*y.
3*y*(y - 14)**2/4
Factor -2*d**2 + 52*d - 338.
-2*(d - 13)**2
What is r in -3*r**5/7 - 99*r**4/7 + 2214*r**3/7 - 7194*r**2/7 - 21411*r/7 - 1701 = 0?
-49, -1, 9
Factor -o**5/2 - 1809*o**4/2 - 1090827*o**3/2 - 219256227*o**2/2.
-o**2*(o + 603)**3/2
Factor 14*k**2/11 + 64*k/11 - 30/11.
2*(k + 5)*(7*k - 3)/11
Find y such that -y**5/4 - 2*y**4 - 7*y**3/2 + 2*y**2 + 15*y/4 = 0.
-5, -3, -1, 0, 1
Factor 4*y**5 - 24*y**4 + 36*y**3 - 16*y**2.
4*y**2*(y - 4)*(y - 1)**2
Determine z so that -3*z**3 + 375*z**2 - 11529*z - 11907 = 0.
-1, 63
Find i such that 2*i**3 + 98*i**2 + 448*i + 352 = 0.
-44, -4, -1
Solve u**2/2 + 217*u = 0.
-434, 0
Factor h**2 + 1502*h + 1501.
(h + 1)*(h + 1501)
Factor 4*x**3 + 56*x**2 + 220*x + 168.
4*(x + 1)*(x + 6)*(x + 7)
Find x such that 2*x**2/5 + 44*x/5 - 46/5 = 0.
-23, 1
Factor d**5 - 4*d**4 - 26*d**3 - 44*d**2 - 31*d - 8.
(d - 8)*(d + 1)**4
Factor 2*j**4 - 6*j**3 - 78*j**2 + 230*j + 300.
2*(j - 5)**2*(j + 1)*(j + 6)
Find h such that 9*h**3/7 + 3*h**2/7 - 36*h/7 - 12/7 = 0.
-2, -1/3, 2
Factor j**4/5 - 248*j**3/5 + 16101*j**2/5 - 89782*j/5 + 117128/5.
(j - 121)**2*(j - 4)*(j - 2)/5
Determine d so that -4*d**5 + 68*d**4 - 352*d**3 + 800*d**2 - 832*d + 320 = 0.
1, 2, 10
Factor g**2/5 + 32*g/5 + 156/5.
(g + 6)*(g + 26)/5
Factor 2*r**2/5 + 18*r/5 - 28.
2*(r - 5)*(r + 14)/5
Solve 5*p**3/2 - 50*p**2 - 960*p = 0.
-12, 0, 32
Factor -h**2 - 1073*h - 2142.
-(h + 2)*(h + 1071)
Find w, given that 4*w**3/11 - 30*w**2/11 - 16*w/11 = 0.
-1/2, 0, 8
Factor 4*n**2 - 1187*n - 297.
(n - 297)*(4*n + 1)
Solve 3*p**4 - 17*p**3 - 9*p**2 + 17*p + 6 = 0 for p.
-1, -1/3, 1, 6
Solve -3*z**2 - 336*z + 339 = 0 for z.
-113, 1
Suppose -52*p**5 + 892*p**4 - 3672*p**3 + 5744*p**2 - 3296*p + 384 = 0. What is p?
2/13, 1, 2, 12
Factor -4*v**2 - 80*v - 144.
-4*(v + 2)*(v + 18)
Factor 2*m**5 - 36*m**4 - 120*m**3 - 124*m**2 - 42*m.
2*m*(m - 21)*(m + 1)**3
Factor -t**3/4 - t**2/2 + 9*t/4 + 9/2.
-(t - 3)*(t + 2)*(t + 3)/4
Factor 245*g**3/2 - 1295*g**2 + 710*g - 100.
5*(g - 10)*(7*g - 2)**2/2
Find q such that -2*q**3/3 + 10*q**2 + 144*q = 0.
-9, 0, 24
Find n, given that 2*n**2 + 1186*n - 1188 = 0.
-594, 1
Factor 2*t**2 + 8*t.
2*t*(t + 4)
What is u in -u**2/7 + 1006*u/7 - 253009/7 = 0?
503
Solve -2*z**2/15 + 56*z/15 - 18/5 = 0.
1, 27
Factor 2*w**3/9 - 6*w**2 + 130*w/3 - 338/9.
2*(w - 13)**2*(w - 1)/9
Factor q**4 - 9*q**3 + 6*q**2 + 56*q.
q*(q - 7)*(q - 4)*(q + 2)
Let -14*j**4/9 + 30*j**3 + 512*j**2/9 - 56*j/3 = 0. What is j?
-2, 0, 2/7, 21
Find v such that -4*v**2 - 832*v + 2532 = 0.
-211, 3
Suppose 448*q**5 + 544*q**4 + 60*q**3 - 72*q**2 = 0. Calculate q.
-3/4, 0, 2/7
Determine p, given that -2*p**2 - 90*p + 500 = 0.
-50, 5
Factor -8*p**2 - 12*p + 20.
-4*(p - 1)*(2*p + 5)
Factor u**5/4 + 27*u**4/4 + 105*u**3/2 + 25*u**2 - 750*u.
u*(u - 3)*(u + 10)**3/4
Solve 4*d**3 - 808*d**2 + 3184*d - 3168 = 0 for d.
2, 198
Let 24*a**5/7 + 318*a**4 + 77832*a**3/7 + 1225164*a**2/7 + 7592208*a/7 + 5037138/7 = 0. What is a?
-23, -3/4
Solve -d**5/5 + 8*d**4/5 + 2*d**3 - 16*d**2 - 9*d/5 + 72/5 = 0 for d.
-3, -1, 1, 3, 8
Find m such that -m**3/8 + 153*m**2/8 + m/8 - 153/8 = 0.
-1, 1, 153
Let -3*w**2/8 - 303*w/8 - 297/4 = 0. What is w?
-99, -2
Factor 2*m**3 - 12*m**2 + 18*m - 8.
2*(m - 4)*(m - 1)**2
Factor 5*y**3/3 - 2*y**2 - 47*y/3 + 16.
(y - 1)*(y + 3)*(5*y - 16)/3
Factor -3*f**2 + 45*f - 108.
-3*(f - 12)*(f - 3)
Solve 6*p**4/7 + 820*p**3/7 - 278*p**2 + 8*p/7 + 1112/7 = 0.
-139, -2/3, 1, 2
What is f in 2*f**5 + 40*f**4 + 152*f**3 - 480*f**2 = 0?
-12, -10, 0, 2
Factor 3*k**2/7 + 48*k - 684/7.
3*(k - 2)*(k + 114)/7
Factor -5*n**4 - 30*n**3 + 235*n**2 - 420*n + 220.
-5*(n - 2)**2*(n - 1)*(n + 11)
Solve -5*l**4 - 55*l**3 - 160*l**2 - 140*l = 0 for l.
-7, -2, 0
Factor y**5/6 + 29*y**4/12 + 21*y**3/2 + 55*y**2/3 + 34*y/3.
y*(y + 2)**3*(2*y + 17)/12
Solve -2*f**4 - 56*f**3 - 576*f**2 - 2560*f - 4096 = 0.
-8, -4
Factor b**4/4 - 87*b**3/2 + 7909*b**2/4 - 7395*b + 7225.
(b - 85)**2*(b - 2)**2/4
Suppose -9*s**5 - 879*s**4 - 22164*s**3 - 33396*s**2 + 28800*s + 27648 = 0. What is s?
-48, -2, -2/3, 1
What is r in r**5/4 + 27*r**4/4 + 5*r**3 - 40*r**2 - 24*r + 52 = 0?
-26, -2, 1, 2
Find n such that -30*n**4 + 385*n**3 - 1130*n**2 - 265*n + 200 = 0.
-1/2, 1/3, 5, 8
Suppose -3*k**5/4 + 45*k**4/4 - 87*k**3/2 + 63*k**2 - 30*k = 0. What is k?
0, 1, 2, 10
Suppose 27*d**3 + 804*d**2 - 3852*d + 816 = 0. What is d?
-34, 2/9, 4
Determine m, given that -2*m**3 + 16*m**2 = 0.
0, 8
Factor p**5 - p**4 - 23*p**3 - 39*p**2 - 18*p.
p*(p - 6)*(p + 1)**2*(p + 3)
Suppose 2*v**2/5 + 692*v/5 - 5664/5 = 0. What is v?
-354, 8
Factor 3*t**2/4 + 77*t/2 + 51/4.
(t + 51)*(3*t + 1)/4
Determine o so that 3*o**4/2 + 114*o**3 + 1038*o**2 + 3216*o + 3168 = 0.
-66, -4, -2
Factor 2*w**5/13 + 72*w**4/13 - 4*w**3 - 12600*w**2/13 + 61250*w/13.
2*w*(w - 7)**2*(w + 25)**2/13
Let 5*q**2/4 - 3840*q + 2949120 = 0. Calculate q.
1536
Determine m, given that -3*m**3 - 63*m**2 - 60*m = 0.
-20, -1, 0
What is n in -n**3 - 8*n**2 - 13*n - 6 = 0?
-6, -1
Determine v, given that v**3 - 162*v**2 + 8748*v - 157464 = 0.
54
Factor n**5/2 + 3*n**4/2 - 33*n**3/2 + 53*n**2/2 - 12*n.
n*(n - 3)*(n - 1)**2*(n + 8)/2
Factor -q**4/2 + 3*q**2/2 + q.
-q*(q - 2)*(q + 1)**2/2
Determine h so that -8*h**5 - 64*h**4 + 22*h**3 + 1