**3 + 267*i**2 + 261*i - 264 = 0. Calculate i.
-88, -1, 1
Determine t, given that 5*t**5 + 15*t**4 - 65*t**3 - 235*t**2 - 240*t - 80 = 0.
-4, -1, 4
Factor -2*c**3/3 + 4*c**2/3 + 6*c - 12.
-2*(c - 3)*(c - 2)*(c + 3)/3
Factor -i**3 + 20*i**2 + 33*i - 252.
-(i - 21)*(i - 3)*(i + 4)
Let 2*u**3/13 - 204*u**2/13 = 0. Calculate u.
0, 102
Solve -x**4/7 - 26*x**3/7 - 85*x**2/7 + 12*x + 396/7 = 0 for x.
-22, -3, 2
Determine b, given that b**5/2 + 15*b**4/8 + 5*b**3/2 + 5*b**2/4 - 1/8 = 0.
-1, 1/4
Find s, given that s**3/4 - 447*s**2/2 + 66603*s - 6615898 = 0.
298
Suppose 2*f**4/5 - 18*f**3/5 + 6*f**2 - 14*f/5 = 0. Calculate f.
0, 1, 7
Let 9*k**3/8 + 33*k**2/2 - 47*k/2 + 8 = 0. Calculate k.
-16, 2/3
Factor -9*p**4 - 43*p**3 - 62*p**2 - 20*p + 8.
-(p + 1)*(p + 2)**2*(9*p - 2)
Solve -q**3/2 + 5*q**2 + 12*q = 0 for q.
-2, 0, 12
Solve -3*b**2/4 - 21*b = 0 for b.
-28, 0
Suppose 2*m**4 + 2*m**3 - 112*m**2 = 0. What is m?
-8, 0, 7
Factor -3*a**3/4 - 231*a**2/4 - 372*a - 315.
-3*(a + 1)*(a + 6)*(a + 70)/4
Let 5*m**2 - 33120*m + 54846720 = 0. Calculate m.
3312
Factor 2*z**4/19 + 62*z**3/19 + 448*z**2/19 - 512*z/19.
2*z*(z - 1)*(z + 16)**2/19
Factor -3*y**4/5 + 63*y**3 - 10692*y**2/5 + 104976*y/5 + 419904/5.
-3*(y - 36)**3*(y + 3)/5
Factor 2*i**2/11 + 8*i + 320/11.
2*(i + 4)*(i + 40)/11
Factor 5*t**5 + 190*t**4 + 2880*t**3 + 21760*t**2 + 81920*t + 122880.
5*(t + 6)*(t + 8)**4
Factor 4*s**4 - 24*s**3.
4*s**3*(s - 6)
What is s in 8*s**2/3 + 190*s/3 - 16 = 0?
-24, 1/4
Factor t**3/4 - 13*t**2 - 107*t/4 - 27/2.
(t - 54)*(t + 1)**2/4
Let 4*m**2/3 + 18286*m/3 + 9142/3 = 0. Calculate m.
-4571, -1/2
Let -5*f**4 + 130*f**3 - 445*f**2 - 3280*f + 3600 = 0. What is f?
-4, 1, 9, 20
Determine n, given that 2*n**4/17 + 152*n**3/17 - 164*n**2/17 - 776*n/17 - 462/17 = 0.
-77, -1, 3
Factor 4*r**4 - 84*r**3 - 280*r**2 - 192*r.
4*r*(r - 24)*(r + 1)*(r + 2)
Factor -2*o**3/7 + 1476*o**2/7.
-2*o**2*(o - 738)/7
Let 25*b**4 + 1265*b**3 + 19290*b**2 + 76780*b - 33880 = 0. Calculate b.
-22, -7, 2/5
Determine m, given that 4*m**4 - 20*m**3 - 28*m**2 + 20*m + 24 = 0.
-1, 1, 6
Factor 2*k**4/11 - 6*k**3 + 756*k**2/11 - 3672*k/11 + 6480/11.
2*(k - 15)*(k - 6)**3/11
Suppose y**5/2 + 17*y**4/2 - 7*y**3/2 - 113*y**2/2 + 51*y = 0. What is y?
-17, -3, 0, 1, 2
Factor k**2/6 - 131*k/6 - 22.
(k - 132)*(k + 1)/6
Factor 4*n**3 + 460*n**2 + 13452*n + 12996.
4*(n + 1)*(n + 57)**2
Factor -2*c**3/7 + 4*c**2 - 86*c/7 + 60/7.
-2*(c - 10)*(c - 3)*(c - 1)/7
Determine w so that 2*w**5/3 - 4*w**4 - 2*w**3/3 + 4*w**2 = 0.
-1, 0, 1, 6
Find s such that 2*s**2/7 + 3916*s/7 + 1916882/7 = 0.
-979
Factor -2*v**2/3 + 56*v/3 - 128.
-2*(v - 16)*(v - 12)/3
Factor -2*o**4/7 + 68*o**3/7 - 66*o**2/7.
-2*o**2*(o - 33)*(o - 1)/7
Factor -m**2 - 128*m - 4096.
-(m + 64)**2
Solve 2*y**2/7 + 72*y/7 + 10 = 0 for y.
-35, -1
Factor -2*c**4/3 - 12*c**3 - 48*c**2.
-2*c**2*(c + 6)*(c + 12)/3
Find k, given that 3*k**3/4 + 27*k**2/4 + 69*k/4 + 45/4 = 0.
-5, -3, -1
Factor 2*r**2/15 - 4*r/5 - 14/15.
2*(r - 7)*(r + 1)/15
Find z, given that -24*z**4 - 260*z**3 - 580*z**2 - 280*z + 64 = 0.
-8, -2, -1, 1/6
Suppose -105*k**4 - 205*k**3 + 335*k**2 + 5*k - 30 = 0. Calculate k.
-3, -2/7, 1/3, 1
Let 22*f**4 + 62*f**3 - 34*f**2 - 62*f + 12 = 0. What is f?
-3, -1, 2/11, 1
Determine q, given that -2*q**3 + 12*q**2 + 102*q + 88 = 0.
-4, -1, 11
Factor -5*g**4 + 10*g**3 + 155*g**2 + 140*g.
-5*g*(g - 7)*(g + 1)*(g + 4)
Determine d so that 2*d**2/3 - 4462*d/3 - 1488 = 0.
-1, 2232
Factor 4*v**5/3 + 16*v**4/3 - 4*v**3 - 136*v**2/3 - 208*v/3 - 32.
4*(v - 3)*(v + 1)*(v + 2)**3/3
Find d such that 33*d**5 - 171*d**4 + 129*d**3 + 279*d**2 - 54*d = 0.
-1, 0, 2/11, 3
Factor 5*t**5 - 115*t**4 + 990*t**3 - 3780*t**2 + 5400*t.
5*t*(t - 6)**3*(t - 5)
Find n, given that -6*n**5/17 + 32*n**4/17 - 60*n**3/17 + 48*n**2/17 - 14*n/17 = 0.
0, 1, 7/3
Factor -2*v**5 - 20*v**4 + 132*v**3 - 256*v**2 + 206*v - 60.
-2*(v - 2)*(v - 1)**3*(v + 15)
Determine k, given that 2*k**3/21 - 4870*k**2/7 + 11858450*k/7 - 28875325750/21 = 0.
2435
Solve k**5/2 + 5*k**4/2 - k**3/2 - 5*k**2/2 = 0 for k.
-5, -1, 0, 1
Suppose c**3 - 8*c**2 - 4*c + 32 = 0. Calculate c.
-2, 2, 8
Determine l, given that -3*l**5/2 - 138*l**4 - 4761*l**3 - 73002*l**2 - 839523*l/2 = 0.
-23, 0
Determine p, given that p**5/5 + 6*p**4/5 - 7*p**3/5 = 0.
-7, 0, 1
Suppose -105*p**3 - 2427*p**2 - 264*p + 276 = 0. What is p?
-23, -2/5, 2/7
Factor 605*l**3 - 14300*l**2 - 5260*l - 480.
5*(l - 24)*(11*l + 2)**2
Factor -j**2 - 96*j - 2304.
-(j + 48)**2
Factor 3*k**3/2 - 75*k**2/2 + 27*k + 216.
3*(k - 24)*(k - 3)*(k + 2)/2
Solve -2*l**3 - 760*l**2 - 1514*l - 756 = 0.
-378, -1
Factor -2*s**5 - 4*s**4 + 12*s**3 + 8*s**2 - 26*s + 12.
-2*(s - 1)**3*(s + 2)*(s + 3)
Solve 5*h**5 + 5490*h**4 + 1495990*h**3 - 6044480*h**2 + 7579005*h - 3036010 = 0 for h.
-551, 1, 2
Factor 3*f**4 - 57*f**3 - 3*f**2 + 57*f.
3*f*(f - 19)*(f - 1)*(f + 1)
Factor 2*b**4/9 + 2*b**3 + 50*b**2/9 + 6*b + 20/9.
2*(b + 1)**2*(b + 2)*(b + 5)/9
Factor -5*o**4 - 100*o**3 + 625*o**2.
-5*o**2*(o - 5)*(o + 25)
Determine v so that -5*v**5 - 948*v**4 - 44742*v**3 + 18620*v**2 + 27075*v = 0.
-95, -3/5, 0, 1
Factor 5*d**2 + 115*d + 650.
5*(d + 10)*(d + 13)
Factor -2*z**2 + 1784*z - 397832.
-2*(z - 446)**2
What is i in 68*i**2 - 2110*i + 62 = 0?
1/34, 31
Suppose 135*a**5 - 1755*a**4 + 4770*a**3 + 5990*a**2 + 2135*a + 245 = 0. What is a?
-1/3, 7
Factor 15*o**5 - 80*o**4 + 75*o**3 + 90*o**2.
5*o**2*(o - 3)**2*(3*o + 2)
Factor 5*j**4 - 6180*j**3 + 2864430*j**2 - 590072580*j + 45583106805.
5*(j - 309)**4
Factor -5*t**4 - 20400*t**3 - 20808000*t**2.
-5*t**2*(t + 2040)**2
Suppose 2*y**4 + 78*y**3 - 522*y**2 + 810*y = 0. Calculate y.
-45, 0, 3
Determine v, given that 45*v**5 + 660*v**4 + 1865*v**3 - 4730*v**2 - 3680*v - 640 = 0.
-8, -1/3, 2
Let 15*g**5/7 + 18*g**4 - 507*g**3/7 - 126*g**2 - 264*g/7 = 0. What is g?
-11, -1, -2/5, 0, 4
Factor 34*o**3/13 - 10604*o**2/13 + 63552*o + 7488.
2*(o - 156)**2*(17*o + 2)/13
Determine z so that -z**3/8 - 55*z**2/8 + 29*z - 59/2 = 0.
-59, 2
Solve 3*z**4/4 + 27*z**3/4 - 3*z**2/4 - 27*z/4 = 0 for z.
-9, -1, 0, 1
Factor z**5/4 + z**4/2 - 7*z**3/4 - 5*z**2 - 3*z.
z*(z - 3)*(z + 1)*(z + 2)**2/4
Factor -2*y**5 + 6*y**4 - 8*y**2.
-2*y**2*(y - 2)**2*(y + 1)
Solve a**4/3 - 23*a**3 + 335*a**2 + 6401*a/3 + 2738 = 0 for a.
-3, -2, 37
Suppose -3*i**3 - 12*i**2 = 0. Calculate i.
-4, 0
Factor -s**4/2 - 17*s**3/2 - 85*s**2/2 - 123*s/2 - 27.
-(s + 1)**2*(s + 6)*(s + 9)/2
Factor 3*v**2 - 7845*v - 15702.
3*(v - 2617)*(v + 2)
Determine u, given that -5*u**2 - 422*u - 168 = 0.
-84, -2/5
What is j in 5*j**3 + 6975*j**2 + 3243375*j + 502723125 = 0?
-465
Solve 6*s**3/5 + 1482*s**2/5 + 90768*s/5 - 92256/5 = 0.
-124, 1
Let 35*h**3 - 5190*h**2 - 9020*h + 3000 = 0. Calculate h.
-2, 2/7, 150
Determine k so that 5*k**2 + 2700*k = 0.
-540, 0
Factor -h**3 - 106*h**2 + 216*h.
-h*(h - 2)*(h + 108)
Factor -f**5 - 25*f**4 + 54*f**3 + 2916*f**2 - 5832*f.
-f*(f - 9)*(f - 2)*(f + 18)**2
Determine w, given that w**4 - w**3 - 5*w**2 - 3*w = 0.
-1, 0, 3
Factor 4*x**4 - 48*x**3 + 140*x**2 - 96*x.
4*x*(x - 8)*(x - 3)*(x - 1)
Determine d, given that 7*d**5/2 - 34*d**4 + 74*d**3 + 59*d**2 - 155*d/2 - 25 = 0.
-1, -2/7, 1, 5
Find m such that 686*m**5/19 + 16562*m**4/19 - 32368*m**3/19 + 19472*m**2/19 - 4768*m/19 + 416/19 = 0.
-26, 2/7, 1
Factor 4*p**4 - 28*p**3 - 16*p**2 + 112*p.
4*p*(p - 7)*(p - 2)*(p + 2)
Factor f**2/11 + 30*f/11 - 799/11.
(f - 17)*(f + 47)/11
Find u, given that -u**4/9 + 3*u**3 - 25*u**2/3 + 73*u/9 - 8/3 = 0.
1, 24
Determine k so that -5*k**4 + 25*k**3 + 10*k**2 - 120*k = 0.
-2, 0, 3, 4
Determine t so that t**4/5 + 141*t**3 - 2832*t**2/5 + 2836*t/5 = 0.
-709, 0, 2
Factor 3*b**2 - 618*b - 1248.
3*(b - 208)*(b + 2)
What is s in -3*s**2/8 + 4515*s/4 = 0?
0, 3010
Solve -4*p**2/7 + 44*p/7 + 24 = 0 for p.
-3, 14
Factor -n**3/7 - 8*n**2/7 + n/7 + 8/7.
-(n - 1)*(n + 1)*(n + 8)/7
Let u**4/2 - 77*u**3 + 5265*u**2/2 + 26244*u = 0. Calculate u.
-8, 0, 81
Solve 2*h**5 + 28*h**4 - 70*h**3 - 88*h**2 + 136*h + 128 = 0.
-16, -1, 2
Find x such that 605*x**5 - 4730*x**4 + 2150*x**3 + 30760*x**2 + 5525*x + 250 = 0.
-2, -1/11, 5
Solve -2*o**2/7 + 9774*o/7 = 0 for o.
0, 4887
Factor f**4 - 2*f**3 - 7*f**2 - 4*f.
f*(f - 4)*(f + 1)**2
Suppose -f**2 - f = 0. What is f?
-1, 0
Factor -z**2/3 + 22*z - 893/3.
-