termine y so that y**3 - 2*y**2 - 4*y + 8 = 0.
-2, 2
Let 5*v**4 + 45*v**3 + 100*v**2 + 60*v = 0. What is v?
-6, -2, -1, 0
Let f**5 - 7*f**4 - 366*f**3 + 4298*f**2 - 7475*f + 3549 = 0. Calculate f.
-21, 1, 13
What is s in 45*s**3 - 20*s**2 - 25*s = 0?
-5/9, 0, 1
Suppose -o**2/6 - 4552*o/3 - 10360352/3 = 0. What is o?
-4552
Suppose -z**3/3 + 1084*z**2/3 - 2165*z/3 + 1082/3 = 0. Calculate z.
1, 1082
What is a in 18*a**4/11 - 76*a**3/11 - 2*a**2/11 + 76*a/11 - 16/11 = 0?
-1, 2/9, 1, 4
Suppose 5*g**5/2 - 25*g**4/2 + 45*g**3/2 - 35*g**2/2 + 5*g = 0. Calculate g.
0, 1, 2
Factor -h**4/4 - 29*h**3/4 - 39*h**2/2.
-h**2*(h + 3)*(h + 26)/4
Determine u so that 5*u**2 - 150*u + 145 = 0.
1, 29
Factor -k**3/3 - 229*k**2/3 - 12995*k/3 + 13225/3.
-(k - 1)*(k + 115)**2/3
Suppose -3*r**2/8 - 567*r/2 + 11415/8 = 0. What is r?
-761, 5
Find y such that 4*y**4/7 - 1476*y**3/7 + 135420*y**2/7 + 136900*y/7 = 0.
-1, 0, 185
Factor z**4/6 - 9*z**3/2 + 36*z**2 - 72*z.
z*(z - 12)**2*(z - 3)/6
Suppose -4*b**3 + 248*b**2 - 716*b + 472 = 0. What is b?
1, 2, 59
Determine r so that -r**3/3 - 17*r**2/3 - 59*r/3 + 77/3 = 0.
-11, -7, 1
Factor -4*f**4 - 316*f**3 - 6396*f**2 - 6084*f.
-4*f*(f + 1)*(f + 39)**2
Factor t**4/2 - 5*t**3/2 - 9*t**2 + 64*t - 80.
(t - 4)**2*(t - 2)*(t + 5)/2
Factor -46*z**2 - 226*z + 20.
-2*(z + 5)*(23*z - 2)
Let 4*o**2 - 128*o + 540 = 0. What is o?
5, 27
Determine w, given that -w**2 - 27*w + 58 = 0.
-29, 2
Solve d**4/2 - 3*d**3/2 - 2*d**2 = 0 for d.
-1, 0, 4
Factor -m**4/2 - 79*m**3 - 6393*m**2/2 - 5850*m + 9126.
-(m - 1)*(m + 3)*(m + 78)**2/2
What is c in -c**4/3 + 32*c**3/3 - 46*c**2/3 - 1120*c - 3675 = 0?
-5, 21
Solve 4*t**4/3 - 680*t**3/3 + 22948*t**2/3 + 168640*t + 738048 = 0.
-8, 93
Solve 9*u**4/2 - 57*u**3/2 + 63*u**2/2 - 15*u/2 = 0.
0, 1/3, 1, 5
Let 2*m**4/7 + 2*m**3 - 2*m**2/7 - 2*m = 0. What is m?
-7, -1, 0, 1
Determine a so that -3*a**2 + 23*a/2 - 15/2 = 0.
5/6, 3
Factor 3*n**4/4 + 273*n**3/4 - 837*n**2/4 + 843*n/4 - 141/2.
3*(n - 1)**3*(n + 94)/4
Factor d**2/3 + 20*d + 57.
(d + 3)*(d + 57)/3
Factor 2*n**3 + 82*n**2/3 + 124*n/3 + 16.
2*(n + 1)*(n + 12)*(3*n + 2)/3
Factor -28*f**3 + 1016*f**2 - 1268*f + 280.
-4*(f - 35)*(f - 1)*(7*f - 2)
Suppose -2*c**5 - 140*c**4 + 734*c**3 - 1192*c**2 + 600*c = 0. Calculate c.
-75, 0, 1, 2
Let -6*s**5/5 + 946*s**4/5 - 54986*s**3/5 + 278438*s**2 - 12814656*s/5 - 4428288/5 = 0. Calculate s.
-1/3, 31, 48
Factor 3*q**5 - 2*q**4 - 4*q**3 + 2*q**2 + q.
q*(q - 1)**2*(q + 1)*(3*q + 1)
Let 2*r**2/21 - 4*r/3 + 14/3 = 0. Calculate r.
7
Factor 4*j**3 + 8780*j**2 + 4813632*j - 4822416.
4*(j - 1)*(j + 1098)**2
Factor -2*j**3/3 - 178*j**2 + 536*j/3.
-2*j*(j - 1)*(j + 268)/3
Factor 4*u**2/7 - 324/7.
4*(u - 9)*(u + 9)/7
Factor 2*c**3 - 276*c**2/7 + 1320*c/7 + 400/7.
2*(c - 10)**2*(7*c + 2)/7
Find w, given that -4*w**5 + 144*w**4 - 27648*w**2 = 0.
-12, 0, 24
Factor -3*d**2/7 - 237*d/7 + 240/7.
-3*(d - 1)*(d + 80)/7
Factor y**3 - 349*y**2 + 30967*y - 89787.
(y - 173)**2*(y - 3)
Find d, given that 30*d**5 - 145*d**4 - 655*d**3 - 795*d**2 - 355*d - 40 = 0.
-1, -1/6, 8
Solve 2*t**3/7 + 10*t**2 + 312*t/7 + 360/7 = 0 for t.
-30, -3, -2
Suppose o**2 - 5*o - 24 = 0. What is o?
-3, 8
Solve 3*w**3 + 69*w**2 + 300*w - 900 = 0 for w.
-15, -10, 2
Let -3*o**2/8 - 1755*o/4 - 876 = 0. What is o?
-1168, -2
Suppose 4*y**2 + 100*y - 1224 = 0. Calculate y.
-34, 9
Factor -2*o**4 - 2*o**3 + 8*o**2 + 8*o.
-2*o*(o - 2)*(o + 1)*(o + 2)
Find a, given that a**2/7 + a/7 - 30/7 = 0.
-6, 5
Suppose -2*i**4/3 + 14*i**3/3 + 6*i**2 - 14*i/3 - 16/3 = 0. Calculate i.
-1, 1, 8
Solve w**2/3 + w - 4/3 = 0.
-4, 1
Factor -3*g**3 + 306*g**2 + 2667*g - 2970.
-3*(g - 110)*(g - 1)*(g + 9)
Let 5*i**3/2 - 5*i**2 - 165*i/2 + 225 = 0. Calculate i.
-6, 3, 5
Suppose -z**4 + 15*z**3 + 75*z**2 + 25*z - 114 = 0. Calculate z.
-3, -2, 1, 19
Factor -2187*g**5 - 8991*g**4 + 9072*g**3 - 3144*g**2 + 1424*g/3 - 80/3.
-(g + 5)*(9*g - 2)**4/3
Factor -5*w**3 + 60*w**2 - 105*w + 50.
-5*(w - 10)*(w - 1)**2
Factor 4*r**3/7 - 34*r**2/7 - 18*r/7.
2*r*(r - 9)*(2*r + 1)/7
Factor -2*d**2 - 410*d - 42025/2.
-(2*d + 205)**2/2
What is g in -g**3/4 + 2067*g**2/4 - 4131*g/4 + 2065/4 = 0?
1, 2065
Factor 2*z**5 - 2*z**3.
2*z**3*(z - 1)*(z + 1)
Determine d so that 54*d**5 + 1236*d**4 + 7580*d**3 + 5584*d**2 - 1298*d - 484 = 0.
-11, -1, -2/9, 1/3
Determine t, given that 3*t**5 - 19*t**4 + 34*t**3 - 4*t**2 - 24*t = 0.
-2/3, 0, 2, 3
Factor -3*u**3 + 225*u**2 - 1428*u.
-3*u*(u - 68)*(u - 7)
Factor -t**5/10 - t**4/5 - t**3/10.
-t**3*(t + 1)**2/10
Factor -p**5 - 191*p**4 - 567*p**3 - 565*p**2 - 188*p.
-p*(p + 1)**3*(p + 188)
Factor -w**3/5 + 23*w**2/5 - 71*w/5 - 19.
-(w - 19)*(w - 5)*(w + 1)/5
Determine j so that j**4/4 + 274*j**3 + 547*j**2/2 - 274*j - 1095/4 = 0.
-1095, -1, 1
Factor 2*d**3/9 - 128*d**2/9 + 54*d - 40.
2*(d - 60)*(d - 3)*(d - 1)/9
Suppose -48*k**5/7 - 26*k**4/7 + 44*k**3 - 134*k**2/7 + 12*k/7 = 0. Calculate k.
-3, 0, 1/8, 1/3, 2
Factor 3*s**3/4 + 87*s**2/4 + 33*s/2 - 126.
3*(s - 2)*(s + 3)*(s + 28)/4
Suppose 3*z**4/4 - 27*z**3/4 + 39*z**2/4 + 27*z/4 - 21/2 = 0. Calculate z.
-1, 1, 2, 7
Solve -3993*w**4/4 - 202191*w**3/4 - 1738737*w**2/2 - 5341245*w - 4521426 = 0 for w.
-182/11, -1
Suppose -o**3/3 - 4*o**2/3 + 4*o/3 + 16/3 = 0. Calculate o.
-4, -2, 2
Let -2*b**2 + 2132*b - 568178 = 0. Calculate b.
533
Factor -10*u**4 - 275*u**3 - 135*u**2.
-5*u**2*(u + 27)*(2*u + 1)
Factor -s**5 - 3*s**4 + 5*s**3 + 27*s**2 + 32*s + 12.
-(s - 3)*(s + 1)**2*(s + 2)**2
Factor h**3 - 3*h**2 + 2*h.
h*(h - 2)*(h - 1)
Factor -3*x**3 + 237*x**2 - 5016*x + 12996.
-3*(x - 38)**2*(x - 3)
Factor 2*k**4/5 - 164*k**3 + 2448*k**2/5 - 2444*k/5 + 814/5.
2*(k - 407)*(k - 1)**3/5
Factor -c**3/4 + 151*c**2/4 - 299*c/4 + 149/4.
-(c - 149)*(c - 1)**2/4
Find y, given that -15*y**4 - 415*y**3 - 3915*y**2 - 13365*y - 7290 = 0.
-9, -2/3
What is w in 81*w**3 - 279*w**2 + 112*w - 12 = 0?
2/9, 3
Suppose 2*c**2/3 + c/3 = 0. What is c?
-1/2, 0
Suppose 2*w**2/5 - 144*w/5 + 2592/5 = 0. Calculate w.
36
Solve -6*x**2/5 + 98*x/5 - 24 = 0 for x.
4/3, 15
Solve 20*o**4 + 188*o**3 + 592*o**2 + 688*o + 192 = 0 for o.
-4, -3, -2, -2/5
Let 2*x**2/7 + 158*x/7 + 44 = 0. Calculate x.
-77, -2
Solve -j**2/5 - 96*j/5 - 2304/5 = 0.
-48
Factor l**2/4 - 15*l/2 - 34.
(l - 34)*(l + 4)/4
Suppose -150*l**5/11 + 1470*l**4/11 - 3204*l**3/11 + 1896*l**2/11 - 336*l/11 = 0. Calculate l.
0, 2/5, 2, 7
Determine i so that -2*i**3/19 + 52*i**2/19 = 0.
0, 26
Find d, given that -4*d**5 - 20*d**4 - 20*d**3 + 20*d**2 + 24*d = 0.
-3, -2, -1, 0, 1
Factor p**2/8 + 1115*p/4 + 1243225/8.
(p + 1115)**2/8
Determine y so that 1805*y**4/4 - 23845*y**3/2 + 324885*y**2/4 - 32630*y + 3380 = 0.
4/19, 13
Factor -3*v**3/4 + 55*v**2/4 - 153*v/4 + 45/4.
-(v - 15)*(v - 3)*(3*v - 1)/4
Determine x, given that x**2/3 - 60*x + 2700 = 0.
90
Factor -3*b**5 + 15*b**4 - 21*b**3 + 9*b**2.
-3*b**2*(b - 3)*(b - 1)**2
Factor 3*y**5 - 12*y**4 + 9*y**3.
3*y**3*(y - 3)*(y - 1)
Find t, given that 5*t**5 - 45*t**4 + 155*t**3 - 255*t**2 + 200*t - 60 = 0.
1, 2, 3
Suppose 7*q**5/5 + 29*q**4/5 - 43*q**3/5 - 29*q**2/5 + 36*q/5 = 0. What is q?
-36/7, -1, 0, 1
Suppose 1681*l**3/4 - 41*l**2/2 + l/4 = 0. Calculate l.
0, 1/41
Factor -l**3/12 - 339*l**2/4 + 679*l/4 - 1019/12.
-(l - 1)**2*(l + 1019)/12
Determine p, given that -4*p**5/7 - 916*p**4/7 - 51980*p**3/7 + 52900*p**2/7 = 0.
-115, 0, 1
Solve -2*x**5/7 + 432*x**4/7 + 2*x**3/7 - 432*x**2/7 = 0.
-1, 0, 1, 216
Find l such that -2*l**2/3 - 36*l = 0.
-54, 0
Determine i, given that -2*i**2/9 + 328*i/3 - 13448 = 0.
246
Factor 2*t**2/3 + 280*t/3 - 568/3.
2*(t - 2)*(t + 142)/3
Factor 26*q**3 + 304*q**2 - 96*q.
2*q*(q + 12)*(13*q - 4)
Let -4*s**4 - 32*s**3 + 172*s**2 - 232*s + 96 = 0. What is s?
-12, 1, 2
What is k in -5*k**2 - 6450*k = 0?
-1290, 0
Solve 2*y**3 - 26*y - 24 = 0 for y.
-3, -1, 4
Let 2*p**2/3 + 1924*p/3 + 462722/3 = 0. What is p?
-481
Let r**3/6 - 293*r**2 = 0. Calculate r.
0, 1758
Let c**3 + 882*c**2/5 + 2092*c/5 + 696/5 = 0. Calculate c.
-174, -2, -2/5
Factor m**3/5 - 14*m**2 - m/5 + 14.
(m - 70)*(m - 1)*(m + 1)/5
Determine q so that -q**5/4 + 9*q**4/2 - 8*q**3 - q**2/2 + 33*q/4 - 4 = 0.
-1, 1, 16
Find f, given that -32*f**5 - 592*f**4 + 4014*f**3 - 4968*f**2 + 1728*f = 0.
-24, 0, 3/4, 4
Let -15*t**3 + 1164*t**2 - 22347*t - 9126 = 0. What is t?
-2/5, 39
Let -5