.
-5, -1, 1, 2
Find s, given that -5*s**3 - 55*s**2 - 95*s - 45 = 0.
-9, -1
Factor -2*z**3 - 10*z**2 - 6*z + 18.
-2*(z - 1)*(z + 3)**2
Factor -5*k**3 - 85*k**2 + 185*k - 95.
-5*(k - 1)**2*(k + 19)
Determine r so that -3*r**3/2 + 23*r**2/2 + 83*r - 60 = 0.
-5, 2/3, 12
Factor 2*k**3/19 + 2*k**2/19 - 12*k/19.
2*k*(k - 2)*(k + 3)/19
Let -5*g**4 - 1060*g**3 - 73440*g**2 - 1555200*g + 7464960 = 0. Calculate g.
-72, 4
Let -x**4/2 + 7*x**3 - 33*x**2/2 - 56*x - 32 = 0. What is x?
-1, 8
Factor -5*c**2/6 - 280*c/3 - 7840/3.
-5*(c + 56)**2/6
Determine d, given that -d**5/3 - 2*d**4 - 8*d**3/3 + 2*d**2/3 + 3*d + 4/3 = 0.
-4, -1, 1
Let h**5/2 + 57*h**4/2 + 719*h**3/2 - 2757*h**2/2 - 360*h + 1350 = 0. Calculate h.
-30, -1, 1, 3
Solve -2*s**3/9 + 62*s/9 + 20/3 = 0 for s.
-5, -1, 6
Suppose 5*w**5/9 + 38*w**4 + 694*w**3 + 13664*w**2/9 + 3311*w/3 + 242 = 0. What is w?
-33, -1, -2/5
What is g in -3*g**2 + 54*g - 51 = 0?
1, 17
Factor -5*t**3/2 + 20*t**2 - 65*t/2 + 15.
-5*(t - 6)*(t - 1)**2/2
Solve -2*g**4/5 + 12*g**3/5 - 8*g**2/5 - 12*g/5 + 2 = 0 for g.
-1, 1, 5
Determine l, given that -5*l**2 - 1980*l - 196020 = 0.
-198
Factor -2*m**4 - 112*m**3 - 1674*m**2 - 2916*m.
-2*m*(m + 2)*(m + 27)**2
Let 25*m**5 + 615*m**4 + 901*m**3 - 435*m**2 + 46*m = 0. What is m?
-23, -2, 0, 1/5
Factor -5*c**2 + 340*c.
-5*c*(c - 68)
Factor 2*l**2/7 + 8*l/7 + 6/7.
2*(l + 1)*(l + 3)/7
Find w, given that 3*w**4 + 45*w**3 + 81*w**2 + 39*w = 0.
-13, -1, 0
Suppose -3*a**2 + 15174*a - 19187523 = 0. Calculate a.
2529
Determine i, given that -6*i**5/5 + 14*i**4/5 + 12*i**3/5 = 0.
-2/3, 0, 3
Factor 3*f**4 + 15*f**3 - 126*f**2 + 228*f - 120.
3*(f - 2)**2*(f - 1)*(f + 10)
Factor -2*i**3 + 20*i**2 - 34*i + 16.
-2*(i - 8)*(i - 1)**2
Suppose 5*a**2 - 55*a + 50 = 0. Calculate a.
1, 10
Suppose 4*r**5 - 28*r**4 - 8*r**3 + 184*r**2 + 260*r + 100 = 0. What is r?
-1, 5
Solve p**4 + 81*p**3 = 0.
-81, 0
Suppose 2*j**3 - 12*j**2 + 18*j = 0. What is j?
0, 3
Find y, given that 6*y**5/7 + 6*y**4/7 - 144*y**3/7 + 24*y**2/7 + 960*y/7 - 1152/7 = 0.
-4, 2, 3
What is x in 2*x**2/5 - 176*x/5 - 480 = 0?
-12, 100
Find t, given that -4*t**3 - 788*t**2 - 38412*t + 39204 = 0.
-99, 1
Suppose o**4/5 + 1536*o**3/5 + 591358*o**2/5 + 1178112*o/5 + 588289/5 = 0. Calculate o.
-767, -1
Let 3*h**2/11 - h - 4/11 = 0. Calculate h.
-1/3, 4
Solve 6*u**5/17 + 76*u**4/17 + 172*u**3/17 + 120*u**2/17 - 2*u/17 - 20/17 = 0.
-10, -1, 1/3
Factor -w**2 - w + 2.
-(w - 1)*(w + 2)
Let 109*q**2/2 - 653*q/2 - 3 = 0. Calculate q.
-1/109, 6
Factor 5*d**2 - 3215*d - 6450.
5*(d - 645)*(d + 2)
Solve b**5/2 + 29*b**4/3 + 133*b**3/3 + 40*b**2 - 101*b/6 - 65/3 = 0.
-13, -5, -1, 2/3
Factor -m**2/5 + 29*m/5 + 6.
-(m - 30)*(m + 1)/5
Suppose -a**4 + 29*a**3 - 51*a**2 - 81*a = 0. What is a?
-1, 0, 3, 27
Let 3*h**4/4 + 39*h**3/4 + 45*h**2/2 - 3*h - 30 = 0. Calculate h.
-10, -2, 1
What is k in k**2/3 - 238*k/3 + 464 = 0?
6, 232
Factor a**3/3 - 26*a**2/3 + 64*a - 96.
(a - 12)**2*(a - 2)/3
Factor -2*v**4 - 90*v**3 + 186*v**2 - 94*v.
-2*v*(v - 1)**2*(v + 47)
Factor -v**4/7 - 200*v**3/7 - 9382*v**2/7 + 61800*v/7 - 95481/7.
-(v - 3)**2*(v + 103)**2/7
Suppose -8*z**5 - 248*z**4/3 - 150*z**3 + 10*z**2/3 + 68*z - 32/3 = 0. Calculate z.
-8, -2, -1, 1/6, 1/2
Let 5*n**2 + 135*n + 700 = 0. What is n?
-20, -7
Suppose b**3 - 222*b**2 + 16428*b - 405224 = 0. Calculate b.
74
Find g such that -32*g**4/17 - 80*g**3/17 - 58*g**2/17 - 10*g/17 = 0.
-5/4, -1, -1/4, 0
Factor t**3/4 - 2*t**2 + 13*t/4 - 3/2.
(t - 6)*(t - 1)**2/4
Suppose -m**5 - 59*m**4 - 775*m**3 + 2879*m**2 - 248*m - 3844 = 0. Calculate m.
-31, -1, 2
Factor 5*r**2 - 175*r/4 + 245/4.
5*(r - 7)*(4*r - 7)/4
Factor 688205*z**4 + 14840*z**3 + 80*z**2.
5*z**2*(371*z + 4)**2
Find t, given that 2*t**2 + 26*t + 84 = 0.
-7, -6
Factor -u**2 + 48*u + 265.
-(u - 53)*(u + 5)
Factor 2*l**3/7 - 12*l**2/7 - 2*l/7 + 60/7.
2*(l - 5)*(l - 3)*(l + 2)/7
What is g in 3*g**4 - 75*g**3 + 249*g**2 + 75*g - 252 = 0?
-1, 1, 4, 21
Solve f**4/2 - 15*f**3/2 - 10*f**2 + 30*f + 32 = 0.
-2, -1, 2, 16
Factor j**5/3 + 56*j**4/3 + 1126*j**3/3 + 3192*j**2 + 9747*j.
j*(j + 9)**2*(j + 19)**2/3
Suppose -2*a**5/7 - 6*a**4/7 + 10*a**3/7 + 30*a**2/7 - 8*a/7 - 24/7 = 0. What is a?
-3, -2, -1, 1, 2
Factor -2*l**2/11 + 8*l - 88.
-2*(l - 22)**2/11
Let 3*j**3/4 - 15*j**2/4 + 6*j - 3 = 0. Calculate j.
1, 2
Determine i so that -3*i**5 - 15*i**4 + 24*i**3 + 36*i**2 = 0.
-6, -1, 0, 2
Solve -14*u**4/5 + 116*u**3/5 + 94*u**2/5 - 36*u/5 = 0.
-1, 0, 2/7, 9
Factor -2*i**5 + 10*i**4 - 16*i**3 + 8*i**2.
-2*i**2*(i - 2)**2*(i - 1)
Factor 3*g**4/8 - 15*g**3/4 + 99*g**2/8 - 33*g/2 + 15/2.
3*(g - 5)*(g - 2)**2*(g - 1)/8
Factor n**2/9 + 682*n/9 + 116281/9.
(n + 341)**2/9
Factor t**5/4 - 29*t**4/4 + 125*t**3/2 - 293*t**2/2 + 533*t/4 - 169/4.
(t - 13)**2*(t - 1)**3/4
Find j, given that 4*j**4 + 108*j**3 - 228*j**2 + 116*j = 0.
-29, 0, 1
Solve 4*f**3 - 16*f**2 - 60*f + 72 = 0 for f.
-3, 1, 6
Factor 5*y**4 + 15*y**3 - 115*y**2 + 165*y - 70.
5*(y - 2)*(y - 1)**2*(y + 7)
Find j, given that 4*j**5 - 48*j**4 + 224*j**3 - 504*j**2 + 540*j - 216 = 0.
1, 2, 3
Suppose -5*k**5 + 285*k**4 - 4715*k**3 + 18735*k**2 - 24440*k + 10140 = 0. Calculate k.
1, 3, 26
Solve m**3/6 - 11*m**2/2 + 5*m + 32/3 = 0 for m.
-1, 2, 32
Suppose -3*f**4/2 + 37*f**3/2 - 135*f**2/2 + 131*f/2 - 15 = 0. Calculate f.
1/3, 1, 5, 6
Factor 3*c**2/5 - 3048*c/5 + 774192/5.
3*(c - 508)**2/5
Let 69*v**4 - 765*v**3 + 618*v**2 + 1332*v - 120 = 0. Calculate v.
-1, 2/23, 2, 10
Factor x**3/9 + 176*x**2/9 + 349*x/9 + 58/3.
(x + 1)**2*(x + 174)/9
Let 4*x**3/5 + 996*x**2/5 + 12096*x - 190512/5 = 0. Calculate x.
-126, 3
Find p, given that 2*p**3/5 - 2*p**2 - 332*p/5 - 64 = 0.
-10, -1, 16
Solve -4*w**2 - 160*w - 816 = 0 for w.
-34, -6
Factor o**5 + 8*o**4 + 18*o**3 + 16*o**2 + 5*o.
o*(o + 1)**3*(o + 5)
Solve 9*t**3 + 66*t**2 + 15*t - 42 = 0.
-7, -1, 2/3
Factor 2*a**5/9 - 8*a**4/9 + 8*a**3/9.
2*a**3*(a - 2)**2/9
Find s, given that 3489*s**2/2 + 10473*s/2 + 9 = 0.
-3, -2/1163
Factor 3*a**4 + 339*a**3 + 990*a**2 - 12*a - 1320.
3*(a - 1)*(a + 2)**2*(a + 110)
Determine q, given that -4*q**3 + 28*q**2 + 68*q + 36 = 0.
-1, 9
Factor -2*v**4/7 - 48*v**3/7 - 46*v**2/7.
-2*v**2*(v + 1)*(v + 23)/7
Solve 2*i**2 - 86*i - 376 = 0.
-4, 47
Factor -2*z**2/7 - 610*z/7 + 3100/7.
-2*(z - 5)*(z + 310)/7
Factor 3*l**2 - 198*l.
3*l*(l - 66)
Solve 15*m**4/4 + 267*m**3/2 + 219*m**2/4 - 831*m + 315 = 0 for m.
-35, -3, 2/5, 2
Factor -2*q**3/5 + 8*q**2 - 128*q/5.
-2*q*(q - 16)*(q - 4)/5
Let -8*i**5 + 26*i**4 - 22*i**3 + 4*i**2 = 0. What is i?
0, 1/4, 1, 2
Factor -2*a**4 + 21920*a**3 - 90091200*a**2 + 164566592000*a - 112728115520000.
-2*(a - 2740)**4
Suppose p**4/2 + 189*p**3 + 36097*p**2/2 + 35532*p + 17672 = 0. What is p?
-188, -1
Determine h, given that 4*h**5 + 52*h**4 + 260*h**3 + 620*h**2 + 696*h + 288 = 0.
-4, -3, -2, -1
Find n, given that 5*n**3 - 460*n**2 + 1775*n - 1320 = 0.
1, 3, 88
Factor 6*q**3/7 - 12*q**2/7 - 30*q/7 + 36/7.
6*(q - 3)*(q - 1)*(q + 2)/7
Factor s**5 + 158*s**4 + 6984*s**3 + 58928*s**2 + 156880*s + 131424.
(s + 2)**2*(s + 6)*(s + 74)**2
Find p, given that -2*p**5/9 - 38*p**4/9 - 202*p**3/9 - 298*p**2/9 - 44*p/3 = 0.
-11, -6, -1, 0
Suppose 50*t**5/3 + 30*t**4 - 2*t**3/3 - 82*t**2/3 - 16*t - 8/3 = 0. Calculate t.
-1, -2/5, 1
Factor k**5 + 15*k**4/4 + 3*k**3 - k**2.
k**2*(k + 2)**2*(4*k - 1)/4
Suppose 2*b**5 - 14*b**4 - 22*b**3 + 38*b**2 + 76*b + 32 = 0. Calculate b.
-1, 2, 8
Factor 10*r**2 + 124*r + 1922/5.
2*(5*r + 31)**2/5
Factor 3*a**3 + 972*a**2 + 104976*a + 3779136.
3*(a + 108)**3
Let 3*c**2 + 330*c + 9075 = 0. What is c?
-55
Solve 10*b**4 - 1195*b**3 + 47400*b**2 - 616000*b - 320000 = 0 for b.
-1/2, 40
Suppose -2*h**4 + 8*h**3 + 12*h**2 - 8*h - 10 = 0. What is h?
-1, 1, 5
Determine s, given that -s**4/2 - 253*s**3 + s**2/2 + 253*s = 0.
-506, -1, 0, 1
Let 4*g**3 + 36*g**2 + 24*g - 64 = 0. What is g?
-8, -2, 1
Factor -2*l**3/15 - 2026*l**2/15 - 514096*l/15 - 512072/15.
-2*(l + 1)*(l + 506)**2/15
Find h such that 4*h**2/5 + 232*h/5 + 3364/5 = 0.
-29
Determine r, given that -r**2/4 - r - 3/4 = 0.
-3, -1
Find r such that 14*r**2/19 + 26*r/19 = 0.
-13/7, 0
Factor 3*d**4 + 87*d**3.
3*d**3*(d + 29)
Determine f so that 2*f**4/13 + 28*f**3/13 - 62*f**2/13 + 32*f/13 = 0.
-16, 0, 1
Find q, given that 3*q**5/2 + 27*q**4/4 + 15*q**3/4 - 45*q**2/4 -