1)
Determine s so that 2*s**3/5 + 4*s**2 = 0.
-10, 0
Solve -r**4/6 + 23*r**3/3 - 143*r**2/2 - 1150*r/3 - 1250/3 = 0.
-2, 25
Find a, given that -5*a**5 + 15*a**4 + 30*a**3 - 50*a**2 - 105*a - 45 = 0.
-1, 3
Solve -2*j**3/13 + 2*j**2 + 600*j/13 = 0.
-12, 0, 25
Factor -g**3 - 18*g**2 - 60*g - 56.
-(g + 2)**2*(g + 14)
Let g**2 + 458*g + 1365 = 0. What is g?
-455, -3
Solve l**2 + 69*l + 728 = 0 for l.
-56, -13
Factor -2*k**5 + 30*k**4 + 68*k**3.
-2*k**3*(k - 17)*(k + 2)
Factor v**5 + 107*v**4 + 315*v**3 + 313*v**2 + 104*v.
v*(v + 1)**3*(v + 104)
Factor 5*k**2 + 7250*k + 2628125.
5*(k + 725)**2
Solve 2*n**5 + 7*n**4 - 2*n**3 - 13*n**2 + 6*n = 0.
-3, -2, 0, 1/2, 1
Suppose -4*r**3 + 28*r**2 = 0. What is r?
0, 7
Factor 148*d**2 + 64*d - 464.
4*(d + 2)*(37*d - 58)
Factor -2*y**5 + 66*y**4 - 636*y**3 + 1532*y**2 - 1410*y + 450.
-2*(y - 15)**2*(y - 1)**3
Solve 3*c**2/7 + 120*c/7 + 333/7 = 0 for c.
-37, -3
Factor 4*a**2/9 - 208*a/9 + 256.
4*(a - 36)*(a - 16)/9
What is f in -21*f**2/8 - 285*f/8 + 63/4 = 0?
-14, 3/7
Factor k**2/3 - 22*k/3 + 85/3.
(k - 17)*(k - 5)/3
Factor g**3/3 - 259*g**2/3 + 1024*g/3 - 340.
(g - 255)*(g - 2)**2/3
Factor 2*v**5/15 - 106*v**4/15 + 104*v**3/15.
2*v**3*(v - 52)*(v - 1)/15
Factor -c**5 - 9*c**4 - 24*c**3 - 20*c**2.
-c**2*(c + 2)**2*(c + 5)
Suppose 15*g**2 + 2199*g - 882 = 0. What is g?
-147, 2/5
Factor -2*b**3/5 + 14*b**2/5 + 98*b + 2058/5.
-2*(b - 21)*(b + 7)**2/5
Factor -5*k**3 + 195*k**2 + 5*k - 195.
-5*(k - 39)*(k - 1)*(k + 1)
Determine t, given that -4*t**2 - 296*t - 5076 = 0.
-47, -27
Factor c**4 - 286*c**3 - 864*c**2 - 866*c - 289.
(c - 289)*(c + 1)**3
Factor -5*j**3 - 5*j**2 + 130*j - 120.
-5*(j - 4)*(j - 1)*(j + 6)
Let 16*c**2/3 + 68*c/3 + 16/3 = 0. Calculate c.
-4, -1/4
Determine y so that 2*y**3/5 - 4*y**2 - 22*y/5 = 0.
-1, 0, 11
Factor u**3 + 13*u**2/3 - 28*u/3 + 4.
(u - 1)*(u + 6)*(3*u - 2)/3
Factor -u**4/3 - 3*u**3 - 20*u**2/3 - 4*u.
-u*(u + 1)*(u + 2)*(u + 6)/3
Factor -f**5/4 - 9*f**4/4 - 13*f**3/2 - 5*f**2 + 6*f + 8.
-(f - 1)*(f + 2)**3*(f + 4)/4
Factor -2*w**2 - 68*w - 186.
-2*(w + 3)*(w + 31)
Let -5*c**5/3 - 220*c**4/3 - 310*c**3 + 720*c**2 + 5445*c + 7020 = 0. What is c?
-39, -3, 4
Factor c**4/7 + 13*c**3/7 + c**2 - 57*c/7 + 36/7.
(c - 1)**2*(c + 3)*(c + 12)/7
Solve 20*s**5 - 172*s**4 + 16*s**3 + 688*s**2 - 384*s = 0 for s.
-2, 0, 3/5, 2, 8
Factor -3*g**2 + 195*g - 1512.
-3*(g - 56)*(g - 9)
Factor 15*l**3 - 110*l**2 - 120*l + 320.
5*(l - 8)*(l + 2)*(3*l - 4)
Determine d, given that -5*d**4 - 290*d**3 - 4740*d**2 - 15390*d - 10935 = 0.
-27, -3, -1
Factor -3*g**4 - 426*g**3 - 14691*g**2 + 30672*g - 15552.
-3*(g - 1)**2*(g + 72)**2
Factor 2*u**3 + 4*u**2 - 2*u - 4.
2*(u - 1)*(u + 1)*(u + 2)
Determine b, given that -2*b**5/5 - 6*b**4/5 + 8*b**2/5 = 0.
-2, 0, 1
Determine t so that 3*t**5 + 57*t**4 + 393*t**3 + 1239*t**2 + 1764*t + 864 = 0.
-8, -4, -3, -1
Determine x so that -x**4 + 30*x**3 - 57*x**2 + 28*x = 0.
0, 1, 28
Determine u, given that -u**2/4 + 21*u - 83/4 = 0.
1, 83
Factor 4*w**2/7 + 32*w/7 + 64/7.
4*(w + 4)**2/7
Factor -5*y**5 + 755*y**4 + 1530*y**3.
-5*y**3*(y - 153)*(y + 2)
Find i such that i**5/3 - i**4 - 22*i**3/3 + 4*i**2 + 24*i = 0.
-3, -2, 0, 2, 6
Factor -4*x**2/5 + 4*x/5 + 952.
-4*(x - 35)*(x + 34)/5
Suppose -s**5/2 + 161*s**4/2 - 393*s**3 + 466*s**2 + 316*s - 624 = 0. Calculate s.
-1, 2, 156
Determine r so that -2*r**5/5 - 106*r**4/5 + 6*r**3/5 + 322*r**2/5 + 212*r/5 = 0.
-53, -1, 0, 2
Find p, given that -2*p**4 + 32*p**3 + 9808*p**2 - 79488*p - 12340512 = 0.
-46, 54
Determine c, given that 2*c**2 + 76*c + 74 = 0.
-37, -1
Solve q**4 + 9*q**3 - 22*q**2 = 0.
-11, 0, 2
Find q such that -4*q**4 - 624*q**3 - 24948*q**2 - 47432*q = 0.
-77, -2, 0
Let 28*j**3 + 76*j**2 - 8*j - 96 = 0. What is j?
-2, -12/7, 1
Factor 25*b**2 - 28*b + 3.
(b - 1)*(25*b - 3)
Determine g, given that 27*g**4 + 1248*g**3 - 6609*g**2 - 1530*g = 0.
-51, -2/9, 0, 5
Find o, given that -2*o**3/5 - 606*o**2/5 - 9120*o + 46208/5 = 0.
-152, 1
Let -3*f**4 - 114*f**3 + 669*f**2 + 996*f - 1548 = 0. What is f?
-43, -2, 1, 6
What is j in 3*j**4/7 + 3709*j**3/7 - 6189*j**2/7 + 177*j + 1238/7 = 0?
-1238, -1/3, 1
Determine l, given that -l**4/4 + 95*l**3/4 - 68*l**2 - 92*l = 0.
-1, 0, 4, 92
Determine s, given that 500*s**2 - 2100*s + 2205 = 0.
21/10
Factor -y**4 - 24*y**3 + 85*y**2 + 108*y.
-y*(y - 4)*(y + 1)*(y + 27)
Factor q**4/4 + 3*q**3 + 3*q**2/2 - 13*q + 33/4.
(q - 1)**2*(q + 3)*(q + 11)/4
Factor h**3/4 + 15*h**2/4 - 4*h.
h*(h - 1)*(h + 16)/4
Let 2*y**3/21 - 64*y**2/21 - 2584*y/21 + 27744/7 = 0. Calculate y.
-36, 34
Factor z**3 - 3739*z**2 - 7481*z - 3741.
(z - 3741)*(z + 1)**2
Find n, given that 5*n**3 + 1035*n**2 + 55080*n + 156060 = 0.
-102, -3
Factor -p**2/4 + 11*p - 57.
-(p - 38)*(p - 6)/4
Factor -3*s**3 - 15*s**2 - 12*s.
-3*s*(s + 1)*(s + 4)
Solve -f**5 - 114*f**4 - 212*f**3 + 1330*f**2 - 1563*f + 560 = 0 for f.
-112, -5, 1
Find u, given that -2*u**3/9 + 52*u**2/9 - 122*u/3 + 60 = 0.
2, 9, 15
Find r, given that 3*r**3/8 + 27*r**2/8 + 45*r/8 + 21/8 = 0.
-7, -1
Factor -55*k**2 - 430*k + 80.
-5*(k + 8)*(11*k - 2)
Factor -4*k**2 + 132*k + 7936.
-4*(k - 64)*(k + 31)
Determine y so that -20*y**3 + 9015*y**2 - 6745*y - 2250 = 0.
-1/4, 1, 450
Factor -2*y**2/9 + 8*y/3 + 896/9.
-2*(y - 28)*(y + 16)/9
Let -2*x**3 + 76*x**2 - 672*x = 0. What is x?
0, 14, 24
Factor 2*s**2 + 108*s + 1386.
2*(s + 21)*(s + 33)
Factor -2*b**3/7 - 8*b**2/7.
-2*b**2*(b + 4)/7
Find g, given that g**5/6 - 13775*g**4/6 + 37950125*g**3/3 - 104552594375*g**2/3 + 288042397503125*g/6 - 158711361024221875/6 = 0.
2755
Determine z, given that 3*z**3 + 13776*z**2 + 27543*z + 13770 = 0.
-4590, -1
Solve 2*c**3 - 18*c**2 + 48*c - 32 = 0.
1, 4
Factor -o**5/6 - 37*o**4/2 - 1641*o**3/2 - 36351*o**2/2 - 201096*o - 889056.
-(o + 21)**3*(o + 24)**2/6
Factor 3*b**4 + 198*b**3 + 2619*b**2 - 21384*b + 34992.
3*(b - 3)**2*(b + 36)**2
Factor -4*b**4 - 184*b**3 - 352*b**2.
-4*b**2*(b + 2)*(b + 44)
Find a such that -2*a**2/7 - 2440*a/7 - 744200/7 = 0.
-610
Factor 3*g**2 + 111*g.
3*g*(g + 37)
Factor -f**2 - 76*f + 765.
-(f - 9)*(f + 85)
Find i, given that -5*i**4 - 190*i**3 + 5*i**2 + 190*i = 0.
-38, -1, 0, 1
Suppose -3*v**5/7 - 12*v**4/7 + 69*v**3/7 + 6*v**2/7 - 228*v/7 + 24 = 0. What is v?
-7, -2, 1, 2
Solve 2*h**2/7 - 488*h/7 + 29768/7 = 0.
122
Let 20*v**5 + 32085*v**4 + 72120*v**3 + 48065*v**2 + 8010*v = 0. What is v?
-1602, -1, -1/4, 0
Factor -2*s**4/7 + 16*s**3/7.
-2*s**3*(s - 8)/7
Solve 2*l**4 + 6*l**3 - 6*l**2 - 14*l + 12 = 0 for l.
-3, -2, 1
Find s such that 5*s**5 + 50*s**4 + 140*s**3 - 40*s**2 - 640*s - 640 = 0.
-4, -2, 2
Solve j**5/3 + 4*j**4 - 2*j**3/3 - 8*j**2 + j/3 + 4 = 0.
-12, -1, 1
Factor -4*u**2 - 8*u + 12.
-4*(u - 1)*(u + 3)
Let 19*u**5/2 - 37*u**4 + 87*u**3/2 - 14*u**2 - 2*u = 0. What is u?
-2/19, 0, 1, 2
Factor -3*o**4 - 78*o**3 + 165*o**2 - 84*o.
-3*o*(o - 1)**2*(o + 28)
Suppose -2*y**4/5 + 24*y**3/5 + 22*y**2 - 60*y = 0. What is y?
-5, 0, 2, 15
Find i such that -5*i**4 + 200*i**3 - 1585*i**2 + 2410*i + 4200 = 0.
-1, 4, 7, 30
Suppose -o**4/8 + 219*o**3/2 - 47521*o**2/2 - 96360*o - 96800 = 0. What is o?
-2, 440
Find p such that 5*p**3/4 - 345*p**2/4 + 1915*p/4 - 1575/4 = 0.
1, 5, 63
Factor -4*b**3/7 + 56*b**2 - 212*b - 1880/7.
-4*(b - 94)*(b - 5)*(b + 1)/7
Factor g**3 - 32*g**2 + 245*g - 550.
(g - 22)*(g - 5)**2
What is l in -5*l**5 + 45*l**3 + 20*l**2 - 60*l = 0?
-2, 0, 1, 3
Find j, given that j**4 + 996*j**3 + 995*j**2 = 0.
-995, -1, 0
Solve -2*s**4/9 + 44*s**3/3 - 128*s**2/3 + 380*s/9 - 14 = 0.
1, 63
Factor -z**4 - 2*z**3 + 3*z**2 + 4*z - 4.
-(z - 1)**2*(z + 2)**2
Determine i so that -3*i**5 - 123*i**4 - 111*i**3 + 375*i**2 + 606*i + 240 = 0.
-40, -1, 2
Factor r**4/6 + r**3/2 - r**2 - 4*r/3.
r*(r - 2)*(r + 1)*(r + 4)/6
Suppose 3*m**2 - 48*m + 192 = 0. What is m?
8
Suppose -4*j**3/3 - 124*j**2/3 - 776*j/3 + 2080/3 = 0. Calculate j.
-20, -13, 2
Factor -s**3/3 + s**2/3 + 8*s/3 - 4.
-(s - 2)**2*(s + 3)/3
Factor 4*p**4 - 5*p**3/3 - 4*p**2 + 5*p/3.
p*(p - 1)*(p + 1)*(12*p - 5)/3
Find x, given that 3*x**3 - 12*x**2 - 3*x + 12 = 0.
-1, 1, 4
Suppose -6*q**5/5 + 52*q**4/5 - 164*q**3/5 + 232*q**2/5 - 30*q + 36/5 = 0. What is q?
2/3, 1, 3
Determine t, given that 10*t**4 - 305*t**3 + 2645*t**2 - 4480*t - 2940 = 0.
-1/2, 3, 14
What is n in -3*n**5 + 24*n**4 - 21*n**3 = 0?
0, 1, 