/5 - 2*f**2/5 - 4*f/5 = 0.
-2, -1, 0, 1
Solve -t**2/4 - 110*t + 221 = 0 for t.
-442, 2
Determine c, given that 14*c**5/11 + 52*c**4/11 - 30*c**3/11 - 52*c**2/11 + 16*c/11 = 0.
-4, -1, 0, 2/7, 1
Determine h so that 4*h**4/3 + 4*h**3 - 4*h**2 - 28*h/3 + 8 = 0.
-3, -2, 1
Factor t**4/4 - 53*t**3/4 + 153*t**2/4 - 151*t/4 + 25/2.
(t - 50)*(t - 1)**3/4
Suppose -3*k**4 - 77*k**3 + 107*k**2 - 27*k = 0. What is k?
-27, 0, 1/3, 1
Determine o so that o**2/2 - 98*o + 4802 = 0.
98
Factor 5*o**2 - 5*o - 1050.
5*(o - 15)*(o + 14)
Suppose 5*j**4 - 20*j**3 + 10*j**2 + 20*j - 15 = 0. What is j?
-1, 1, 3
Factor c**3 + 20*c**2 + 52*c - 192.
(c - 2)*(c + 6)*(c + 16)
What is h in 2*h**3/15 - 34*h**2/15 + 44*h/5 = 0?
0, 6, 11
Find t such that -2*t**4/3 - 616*t**3/3 - 408*t**2 = 0.
-306, -2, 0
What is f in -27*f**2/7 - 48*f/7 + 12/7 = 0?
-2, 2/9
Find b such that -5*b**2 + 60*b + 225 = 0.
-3, 15
Let v**5 + 32*v**4 + 374*v**3 + 1972*v**2 + 4785*v + 4356 = 0. Calculate v.
-11, -4, -3
Factor -s**3/5 + 17*s**2/5 - 84*s/5 + 108/5.
-(s - 9)*(s - 6)*(s - 2)/5
Solve 4*c**4 + 16*c**3 - 12*c**2 - 56*c - 32 = 0.
-4, -1, 2
Factor 4*c**4 - 104*c**3 + 800*c**2 - 2200*c + 1500.
4*(c - 15)*(c - 5)**2*(c - 1)
Determine t, given that t**5/4 - t**4/2 - 3*t**3/4 + 2*t**2 - t = 0.
-2, 0, 1, 2
Suppose 3*s**3 - 27*s**2 = 0. What is s?
0, 9
Factor -g**2/8 + 19*g/8 - 9/4.
-(g - 18)*(g - 1)/8
Factor 49*y**3 + 1785*y**2 - 1032*y + 148.
(y + 37)*(7*y - 2)**2
What is g in -16*g**5 + 76*g**4 - 48*g**3 - 256*g**2 + 448*g - 192 = 0?
-2, 3/4, 2
Find d, given that -39*d**2 + 744*d - 57 = 0.
1/13, 19
What is c in 3*c**5 - 66*c**4 + 516*c**3 - 1752*c**2 + 2688*c - 1536 = 0?
2, 8
Factor 20*g**2/9 + 796*g/3 + 952/9.
4*(g + 119)*(5*g + 2)/9
Factor 3*o**2/2 - 51*o/2.
3*o*(o - 17)/2
What is q in -q**2 + 5956*q - 8868484 = 0?
2978
Factor -290*l**4/9 - 242*l**3/9 - 8*l**2/9.
-2*l**2*(5*l + 4)*(29*l + 1)/9
Factor -4*p**4 - 12*p**3 + 4*p**2 + 12*p.
-4*p*(p - 1)*(p + 1)*(p + 3)
Factor -2*d**3 + 268*d**2 - 1048*d + 1040.
-2*(d - 130)*(d - 2)**2
Determine o so that 2*o**2 - 122*o + 236 = 0.
2, 59
Factor -2*g**2/7 + 46*g - 948/7.
-2*(g - 158)*(g - 3)/7
What is z in -18*z**3/7 - 94*z**2/7 - 128*z/7 - 24/7 = 0?
-3, -2, -2/9
Factor 2*y**4/9 + 4*y**3/9 - 8*y**2/3 - 80*y/9 - 64/9.
2*(y - 4)*(y + 2)**3/9
Factor -k**3 - 4*k**2 + 165*k.
-k*(k - 11)*(k + 15)
Factor 3*j**2/2 - 825*j/2.
3*j*(j - 275)/2
Find o such that 4*o**3 - 3192*o**2 + 849072*o - 75284384 = 0.
266
Find q such that -2*q**2 + 138*q + 740 = 0.
-5, 74
Factor 2*j**3/3 + 60*j**2 + 1800*j + 18000.
2*(j + 30)**3/3
Let -14*r**3/9 + 130*r**2/9 + 272*r/9 - 88/9 = 0. What is r?
-2, 2/7, 11
Let 5*v**4 - 20*v**3 + 30*v**2 - 20*v + 5 = 0. Calculate v.
1
Factor 2*i**4/17 + 12*i**3/17 + 24*i**2/17 + 16*i/17.
2*i*(i + 2)**3/17
Determine s so that 30*s**4 - 4*s**3 - 274*s**2 + 80*s + 168 = 0.
-3, -2/3, 1, 14/5
Factor -5*u**5 + 385*u**4 - 755*u**3 + 375*u**2.
-5*u**2*(u - 75)*(u - 1)**2
Factor 5*f**5 + 5*f**4 - 55*f**3 - 145*f**2 - 130*f - 40.
5*(f - 4)*(f + 1)**3*(f + 2)
Suppose 3*y**5 - 12*y**4 + 3*y**3 + 42*y**2 - 60*y + 24 = 0. What is y?
-2, 1, 2
Factor o**5/4 + 3*o**4/4 - 39*o**3/4 - 83*o**2/4 - 21*o/2.
o*(o - 6)*(o + 1)**2*(o + 7)/4
Suppose -5*v**5 - 10155*v**4 - 5151115*v**3 + 5171435*v**2 + 5151120*v - 5161280 = 0. Calculate v.
-1016, -1, 1
Factor 5*m**4 + 115*m**3 + 615*m**2 + 905*m + 400.
5*(m + 1)**2*(m + 5)*(m + 16)
Suppose n**3/4 + 229*n**2/2 + 52441*n/4 = 0. Calculate n.
-229, 0
Find m, given that 3*m**2/5 - 47*m + 78/5 = 0.
1/3, 78
Factor -4*s**4 + 88*s**3 - 528*s**2 + 680*s + 1300.
-4*(s - 13)*(s - 5)**2*(s + 1)
What is c in -6*c**5/11 + 4*c**4 - 104*c**3/11 + 108*c**2/11 - 50*c/11 + 8/11 = 0?
1/3, 1, 4
Find h, given that -2*h**5/5 + 76*h**4/5 - 94*h**3 + 1156*h**2/5 - 1256*h/5 + 496/5 = 0.
1, 2, 31
Factor 4*c**3/5 + 628*c**2/5 + 4992*c + 24336/5.
4*(c + 1)*(c + 78)**2/5
Solve 4*z**2 + 16*z/3 + 4/3 = 0 for z.
-1, -1/3
Find u such that -578*u**3/9 - 952*u**2/9 - 392*u/9 = 0.
-14/17, 0
Factor -34*l**2/9 + 6*l - 20/9.
-2*(l - 1)*(17*l - 10)/9
Solve -50*k**3/13 - 770*k**2/13 - 3312*k/13 - 2592/13 = 0.
-36/5, -1
Suppose -2*y**5 + 32*y**4/3 + 116*y**3/3 + 32*y**2 + 2*y/3 - 16/3 = 0. Calculate y.
-1, 1/3, 8
Find d such that -36*d**5 + 4956*d**4 - 159484*d**3 - 763724*d**2 - 799744*d - 241968 = 0.
-3, -2/3, 71
Let -2*i**5 - 10*i**4 + 44*i**3 - 32*i**2 = 0. Calculate i.
-8, 0, 1, 2
Suppose -16*d**5/9 + 4*d**4 + 136*d**3/9 - 68*d**2/9 - 40*d/3 + 32/9 = 0. What is d?
-2, -1, 1/4, 1, 4
Factor -16*z**3 - 44*z**2 - 20*z + 8.
-4*(z + 1)*(z + 2)*(4*z - 1)
Factor -v**4 - 22*v**3 - 120*v**2 - 234*v - 135.
-(v + 1)*(v + 3)**2*(v + 15)
Find d such that -3*d**4 + 2*d**3 + 4*d**2 - 2*d - 1 = 0.
-1, -1/3, 1
What is z in -5*z**3 + 15690*z**2 - 16411740*z + 5722226680 = 0?
1046
Find o, given that -2*o**2/3 - 40*o/3 + 64 = 0.
-24, 4
Determine t so that 4*t**4 - 120*t**3 + 900*t**2 = 0.
0, 15
Factor 3*d**5 - 108*d**4 + 1074*d**3 - 1836*d**2 + 867*d.
3*d*(d - 17)**2*(d - 1)**2
Factor -224*z**3 - 4*z**2 + 4*z.
-4*z*(7*z + 1)*(8*z - 1)
Solve c**4/2 - 2*c**3 + 3*c**2 - 2*c + 1/2 = 0.
1
Let 4*m**4 + 72*m**3 + 384*m**2 + 440*m - 900 = 0. What is m?
-9, -5, 1
Let -15*k**3/7 + 2421*k**2/7 - 13851*k - 59049/7 = 0. What is k?
-3/5, 81
Find s such that -4*s**5 + 168*s**4 - 2348*s**3 + 10808*s**2 + 2352*s - 10976 = 0.
-1, 1, 14
Find g, given that -2*g**4/5 - 222*g**3 - 155656*g**2/5 - 90528*g + 609408/5 = 0.
-276, -4, 1
What is b in -25*b**4 + 605*b**3 - 654*b**2 - 820*b - 184 = 0?
-2/5, 2, 23
What is x in -6*x**2 + 20*x + 16 = 0?
-2/3, 4
Let w**4 - 44*w**3 + 484*w**2 = 0. Calculate w.
0, 22
Determine u so that 5*u**4/2 + 9*u**3 + 6*u**2 - 4*u = 0.
-2, 0, 2/5
Factor 2*v**2 + 96*v + 1152.
2*(v + 24)**2
What is f in f**4/3 + 2*f**3/3 - 7*f**2/3 + 4*f/3 = 0?
-4, 0, 1
Let 20*y**4 + 515*y**3 + 830*y**2 - 240*y = 0. Calculate y.
-24, -2, 0, 1/4
What is i in 32*i**5/5 + 64*i**4/5 + 6*i**3/5 - 46*i**2/5 - 14*i/5 + 6/5 = 0?
-1, 1/4, 3/4
Factor -2*t**2/3 + 156*t + 2390/3.
-2*(t - 239)*(t + 5)/3
Factor f**5/4 - 7*f**4/2 + 15*f**3 - 18*f**2.
f**2*(f - 6)**2*(f - 2)/4
Factor 3*v**2 - 2046*v - 2049.
3*(v - 683)*(v + 1)
Factor -4*n**4 - 21*n**3 - 21*n**2 - 4*n.
-n*(n + 1)*(n + 4)*(4*n + 1)
Factor 4*q**2 - 812*q + 808.
4*(q - 202)*(q - 1)
Solve 2*q**4/7 - 10*q**3/7 + 2*q**2 - 6*q/7 = 0.
0, 1, 3
Factor -3*m**3/7 + 4*m**2/7 + 5*m/7 - 2/7.
-(m - 2)*(m + 1)*(3*m - 1)/7
Suppose -3*y**3 - 402*y**2 + 813*y - 408 = 0. What is y?
-136, 1
Let -15*x**5 - 69*x**4 - 81*x**3 + 33*x**2 + 96*x + 36 = 0. What is x?
-2, -1, -3/5, 1
Solve 2*c**4/5 - 16*c**3/5 + 36*c**2/5 - 32*c/5 + 2 = 0.
1, 5
Factor -3*b**3 - 225*b**2 - 4329*b - 4107.
-3*(b + 1)*(b + 37)**2
Solve 27*o**2/4 - 147*o/4 - 588 = 0 for o.
-7, 112/9
Factor -m**2/4 - m/2 - 1/4.
-(m + 1)**2/4
Suppose 39*x**3/4 + 3*x**2/2 - 39*x/4 - 3/2 = 0. Calculate x.
-1, -2/13, 1
Suppose 28*p**5 + 888*p**4 + 5932*p**3 - 17952*p**2 + 4624*p = 0. What is p?
-17, 0, 2/7, 2
Find d such that 2*d**4/7 + 244*d**3/7 - 4664*d**2/7 + 8588*d/7 - 4170/7 = 0.
-139, 1, 15
Factor -3*a**3 - 3*a**2 + 6*a.
-3*a*(a - 1)*(a + 2)
Factor -1568*s**3/11 - 2128*s**2/11 + 138*s + 198.
-2*(s - 1)*(28*s + 33)**2/11
What is d in -3*d**3 - 498*d**2 - 21156*d - 40344 = 0?
-82, -2
Let 4*l**5 - 296*l**4 + 3364*l**3 - 11856*l**2 + 8784*l = 0. What is l?
0, 1, 6, 61
Let x**4/2 + 10*x**3 + 141*x**2/2 + 205*x + 200 = 0. What is x?
-8, -5, -2
Let 3*n**2 + 486*n - 489 = 0. Calculate n.
-163, 1
Find v, given that 5*v**2 + 30*v - 15080 = 0.
-58, 52
What is p in -5*p**3 - 10*p**2 + 35*p - 20 = 0?
-4, 1
Suppose -2*f**5/11 + 40*f**4/11 - 186*f**3/11 - 268*f**2/11 + 1160*f/11 + 1200/11 = 0. Calculate f.
-2, -1, 3, 10
Find g such that 5*g**2/6 + 140*g + 5880 = 0.
-84
Determine x, given that 4*x**2 + 68*x = 0.
-17, 0
Find g such that 12*g**4 + 14*g**3 - 286*g**2 + 384*g + 72 = 0.
-6, -1/6, 2, 3
Suppose 2*q**5 - 228*q**4/13 - 912*q**3/13 - 1108*q**2/13 - 522*q/13 - 72/13 = 0. What is q?
-1, -3/13, 12
Factor d**3/6 + 5*d**2/2 - 8*d/3.
d*(d - 1)*(d + 16)/6
Factor -4*n**5 - 4*n**4 + 24*n**3 - 8*n**2 - 20*n + 12.
-4*(n - 1)**3*(n + 1)*(n + 3)
Factor f**5 + 3*f**4 - 3*f**3 - 11*f**2 - 6*f.
f*(f - 2)*(f + 1)**2*(f + 3)
Factor -4*o**3/7 - 8*o**2 - 36*o/7 + 1296/7.
-4*(o - 4)*(o + 9)**2/7
Factor g**3/2 + 77*g**2/2 + 1843*g/2 + 14079/2.
(