**3/15 - 10*z**2/3 - 26*z/15 = 0.
-1, 0, 13
Determine p, given that 5*p**5 + 30*p**4 + 20*p**3 - 120*p**2 - 160*p = 0.
-4, -2, 0, 2
Let 2*b**4 + 156*b**3 + 154*b**2 = 0. Calculate b.
-77, -1, 0
Let -2*f**3/3 + 10*f**2 - 136*f/3 + 56 = 0. What is f?
2, 6, 7
Factor r**4/2.
r**4/2
Factor 3*c**3/2 + c**2/2 - c.
c*(c + 1)*(3*c - 2)/2
Factor 5*v**3 - 817*v**2 + 2726*v - 960.
(v - 160)*(v - 3)*(5*v - 2)
Factor -3*a**5 - 207*a**4 - 402*a**3 + 6*a**2 + 405*a + 201.
-3*(a - 1)*(a + 1)**3*(a + 67)
Factor 2*l**5 - 36*l**3 + 162*l.
2*l*(l - 3)**2*(l + 3)**2
Solve -4*j**5 + 32*j**4 - 12*j**3 - 224*j**2 + 16*j + 192 = 0.
-2, -1, 1, 4, 6
Let -b**2/2 + 15*b/2 - 18 = 0. What is b?
3, 12
Suppose 5*k**4 - 40*k**3 + 10*k**2 + 160*k + 105 = 0. What is k?
-1, 3, 7
Solve m**5/3 + 13*m**4/3 - 50*m**3/3 - 174*m**2 + 891*m - 1089 = 0 for m.
-11, 3
Solve -s**4/8 + 11*s**3/4 - 59*s**2/8 + 19*s/4 = 0.
0, 1, 2, 19
Determine i so that 2*i**3 + 42*i**2 + 100*i - 144 = 0.
-18, -4, 1
Factor -4*j**3 + 68*j**2.
-4*j**2*(j - 17)
Factor -3*q**2 - 123*q + 126.
-3*(q - 1)*(q + 42)
Factor -y**4/2 + 7*y**3/2 + 17*y**2/2 + 9*y/2.
-y*(y - 9)*(y + 1)**2/2
Solve 4*c**4/3 - 15140*c**3/3 + 4777931*c**2 - 14322440*c/3 + 3579664/3 = 0 for c.
1/2, 1892
Factor -2*i**5 + 8*i**4 + 10*i**3.
-2*i**3*(i - 5)*(i + 1)
Factor 3*s**3/7 + 12*s**2 + 225*s/7.
3*s*(s + 3)*(s + 25)/7
Solve 2*n**5 + 400*n**4 + 20394*n**3 + 39204*n**2 = 0.
-99, -2, 0
Suppose -i**4 - 6*i**3 + 21*i**2 + 106*i - 120 = 0. Calculate i.
-6, -5, 1, 4
Find n such that -n**3/10 + 12*n**2/5 - 33*n/2 + 121/5 = 0.
2, 11
Find x, given that x**3/8 - 5*x**2/8 - x/8 + 5/8 = 0.
-1, 1, 5
Solve 9*t**5/8 - 69*t**4/4 + 45*t**3 + 15*t**2/4 - 369*t/8 + 27/2 = 0.
-1, 1/3, 1, 3, 12
Determine u, given that 2*u**3 - 134*u**2 + 750*u - 1098 = 0.
3, 61
Determine t so that -4*t**3 - 228*t**2 + 468*t + 127764 = 0.
-39, 21
Factor j**3/3 + j**2/3.
j**2*(j + 1)/3
Factor j**2 - 21*j.
j*(j - 21)
Find j, given that 4*j**4/7 - 16*j**3/7 + 16*j**2/7 = 0.
0, 2
Factor 2*t**4/19 - 16*t**3/19 - 2*t**2/19 + 16*t/19.
2*t*(t - 8)*(t - 1)*(t + 1)/19
Find k such that 2703*k**2 - 216*k - 12 = 0.
-2/53, 2/17
Solve 12*m**3/5 - 308*m**2/5 + 200*m - 704/5 = 0.
1, 8/3, 22
What is p in -6*p**5/11 - 42*p**4/11 - 90*p**3/11 - 54*p**2/11 = 0?
-3, -1, 0
Determine i so that -169*i**5/4 + 533*i**4/2 - 79*i**3 + 6*i**2 = 0.
0, 2/13, 6
Factor 3*f**2 + 1224*f.
3*f*(f + 408)
Factor -2*w**3/5 + 18*w**2 + 186*w/5 + 94/5.
-2*(w - 47)*(w + 1)**2/5
Suppose 28*c**2/3 - 160*c/3 - 16 = 0. What is c?
-2/7, 6
Determine z so that -4*z**3/3 + 8*z**2 + 16*z/3 - 32 = 0.
-2, 2, 6
Suppose 5*o**4 + 1685*o**3 + 11625*o**2 + 24795*o + 14850 = 0. What is o?
-330, -3, -1
Factor -3*m**2/5 + 21*m/5 + 54/5.
-3*(m - 9)*(m + 2)/5
Solve p**2/3 + 41*p/3 + 400/3 = 0 for p.
-25, -16
Find n, given that 6*n**4 - 100*n**3 + 58*n**2 + 100*n - 64 = 0.
-1, 2/3, 1, 16
What is a in -2*a**4/11 - 334*a**3/11 - 332*a**2/11 = 0?
-166, -1, 0
Solve -4*c**3 + 28*c**2 - 32*c - 64 = 0.
-1, 4
Factor -3*u**3/7 + 1170*u**2/7 + 2349*u/7 + 168.
-3*(u - 392)*(u + 1)**2/7
Factor -g**3/2 - 17*g**2/2 - 55*g/2 - 39/2.
-(g + 1)*(g + 3)*(g + 13)/2
Find m such that 2*m**4 - 26*m**3 - 20*m**2 + 608*m - 960 = 0.
-5, 2, 4, 12
Factor 22*a**2 + 212*a - 80.
2*(a + 10)*(11*a - 4)
Suppose -10*n**5/11 + 46*n**4/11 + 50*n**3/11 - 158*n**2/11 + 32*n/11 + 40/11 = 0. What is n?
-2, -2/5, 1, 5
Solve 2*a**3/3 + 100*a**2 + 4968*a + 245456/3 = 0.
-58, -46
Factor 2*x**3/5 + 58*x**2/5 - 122*x/5 + 62/5.
2*(x - 1)**2*(x + 31)/5
Find p, given that -16*p**5 - 320*p**4 - 292*p**3 + 236*p**2 + 148*p - 76 = 0.
-19, -1, 1/2
Let 3*d**3 - 87*d**2 - 315*d + 17199 = 0. Calculate d.
-13, 21
Determine t so that 5*t**4 + 160*t**3 + 905*t**2 + 750*t = 0.
-25, -6, -1, 0
Factor s**3 + 95*s**2 + 2800*s + 24000.
(s + 15)*(s + 40)**2
Solve -2*l**3/7 - 2474*l**2/7 + 9920*l/7 - 9928/7 = 0.
-1241, 2
Factor 5*z**2 - 380*z - 2905.
5*(z - 83)*(z + 7)
Determine g, given that -2*g**2 + 6*g = 0.
0, 3
Solve v**2/3 + 64*v/3 + 21 = 0.
-63, -1
Factor -q**3/3 - 156*q**2 - 18407*q - 108578/3.
-(q + 2)*(q + 233)**2/3
Factor -5*s**5 - 60*s**4 - 55*s**3.
-5*s**3*(s + 1)*(s + 11)
Suppose u**4 - 2*u**3 - 8*u**2 = 0. What is u?
-2, 0, 4
Solve -5*r**3 + 170*r**2 - 165*r = 0 for r.
0, 1, 33
What is f in 4*f**4/3 + 4*f**3/3 - 52*f**2/3 - 100*f/3 - 16 = 0?
-3, -1, 4
Factor -x**5 - x**4 + 3*x**3 + 5*x**2 + 2*x.
-x*(x - 2)*(x + 1)**3
Factor -180*p**4 - 2460*p**3 - 10505*p**2 - 14350*p - 6125.
-5*(p + 1)**2*(6*p + 35)**2
Solve 800*s**4/7 - 240*s**3 + 962*s**2/7 - 12*s + 2/7 = 0 for s.
1/20, 1
Factor u**5/2 + u**4/2 - 11*u**3/2 - 29*u**2/2 - 13*u - 4.
(u - 4)*(u + 1)**3*(u + 2)/2
Factor 5*p**3 - 9595*p**2 + 4598400*p + 4608000.
5*(p - 960)**2*(p + 1)
Factor k**3/3 + 107*k**2/3 + 2915*k/3 + 2809/3.
(k + 1)*(k + 53)**2/3
Let 2*i**2/7 - 380*i/7 + 18050/7 = 0. Calculate i.
95
Factor v**3/7 + 717*v**2/7 + 130995*v/7 + 126025.
(v + 7)*(v + 355)**2/7
Factor 2*z**4 + 28*z**3 + 106*z**2 + 152*z + 72.
2*(z + 1)*(z + 2)**2*(z + 9)
Factor m**4/3 + 86*m**3/3 + 1261*m**2/3 - 8428*m + 28812.
(m - 6)**2*(m + 49)**2/3
Determine l, given that 162*l**4/19 + 2520*l**3/19 + 9224*l**2/19 - 4480*l/19 + 512/19 = 0.
-8, 2/9
Factor -c**4/5 - 2*c**3/5 + 8*c**2 + 32*c/5 - 384/5.
-(c - 4)**2*(c + 4)*(c + 6)/5
Factor m**2/3 - 2*m + 5/3.
(m - 5)*(m - 1)/3
Factor -4*h**2/5 - 144*h/5 - 512/5.
-4*(h + 4)*(h + 32)/5
Factor -2*w**2 + 6620*w + 6622.
-2*(w - 3311)*(w + 1)
Factor 196*p**3 + 364*p**2 - 608*p + 192.
4*(p + 3)*(7*p - 4)**2
Suppose -6*p**5 + 447*p**4/2 - 111*p**3/2 = 0. Calculate p.
0, 1/4, 37
Determine k so that -3*k**4/8 - 9*k**3/2 - 27*k**2/2 = 0.
-6, 0
Suppose -1805*f**2/4 - 855*f - 405 = 0. Calculate f.
-18/19
Factor 2*j**3/7 - 152*j**2/7 - 310*j/7 - 156/7.
2*(j - 78)*(j + 1)**2/7
Find r, given that -4*r**5/11 + 10*r**4/11 + 124*r**3/11 - 448*r**2/11 + 192*r/11 = 0.
-6, 0, 1/2, 4
Determine u so that -u**5/5 + 213*u**4/5 - 11447*u**3/5 + 11023*u**2/5 + 11448*u/5 - 11236/5 = 0.
-1, 1, 106
What is m in -3*m**2 + 435*m - 432 = 0?
1, 144
Let -5*t**4 - 44*t**3 + 60*t**2 = 0. Calculate t.
-10, 0, 6/5
Find k such that -4*k**2 - 1436*k + 2888 = 0.
-361, 2
Solve 3*d**4 + 21*d**3 + 45*d**2 + 27*d = 0 for d.
-3, -1, 0
Find v, given that -3*v**3/2 + 399*v**2 + 1605*v/2 + 402 = 0.
-1, 268
Find t, given that -16*t**5 - 476*t**4 - 4568*t**3 - 14572*t**2 - 7584*t + 2880 = 0.
-12, -5, -1, 1/4
Solve p**2/2 + 847*p + 717409/2 = 0 for p.
-847
Factor k**4/2 + 19*k**3/2 + 43*k**2/2 - 927*k/2 - 2268.
(k - 7)*(k + 8)*(k + 9)**2/2
Solve -4*v**2 - 34000*v - 72250000 = 0.
-4250
Factor i**2 + 31*i - 32.
(i - 1)*(i + 32)
Solve -18*g**5 - 60*g**4 - 26*g**3 + 40*g**2 - 8*g = 0 for g.
-2, 0, 1/3
Factor -a**5 - 29*a**4 + 132*a**3.
-a**3*(a - 4)*(a + 33)
Suppose -3*y**4 - 6*y**3 + 84*y**2 + 24*y - 288 = 0. What is y?
-6, -2, 2, 4
Factor s**4/7 + 4*s**3/7 - 75*s**2/7 + 234*s/7 - 216/7.
(s - 3)**2*(s - 2)*(s + 12)/7
Factor 2*j**3 - 44*j**2 + 82*j - 40.
2*(j - 20)*(j - 1)**2
Solve 4*h**2 + 160*h + 444 = 0.
-37, -3
Let 2*x**2/7 + 396*x/7 + 19602/7 = 0. Calculate x.
-99
Factor 25*c**3 + 310*c**2 + 160*c - 5760.
5*(c + 8)**2*(5*c - 18)
Find f, given that f**2/3 + 13*f/3 + 14 = 0.
-7, -6
Factor o**4/2 + 3*o**3/2 - 11*o**2 - 12*o.
o*(o - 4)*(o + 1)*(o + 6)/2
What is d in 3*d**4 + 12*d**3 + 15*d**2 + 6*d = 0?
-2, -1, 0
Let v**5/4 + 5*v**4/2 - 3*v**3 - 5*v**2/2 + 11*v/4 = 0. Calculate v.
-11, -1, 0, 1
Find r such that -32*r**2/3 - 484*r/3 - 20 = 0.
-15, -1/8
Factor -2*u**4 + 36*u**3 - 146*u**2 + 216*u - 104.
-2*(u - 13)*(u - 2)**2*(u - 1)
Factor u**4 - 5*u**3 - 27*u**2 + 81*u + 270.
(u - 6)*(u - 5)*(u + 3)**2
Factor u**3/3 - 51*u**2 + 392*u - 2320/3.
(u - 145)*(u - 4)**2/3
Determine q so that 40*q**3/3 + 1378*q**2/3 + 614*q/3 + 68/3 = 0.
-34, -1/4, -1/5
Find r, given that 20*r**5 + 84*r**4 + 100*r**3 - 4*r**2 - 72*r - 32 = 0.
-2, -1, 4/5
Let -u**4/4 - 4*u**3 - 21*u**2/2 - 10*u - 13/4 = 0. What is u?
-13, -1
Factor -3*s**2/4 - 4323*s/2.
-3*s*(s + 2882)/4
Find j, given that -2*j**5 - 126*j**4 - 364*j**3 - 240*j**2 = 0.
-60, -2, -1, 0
Suppose -v**3/2 - 71*v**2/2 + 145*v/2 - 73/2 = 0. What is v?
-73, 1
Factor 5*a**2 + 85*a - 90.
5*(a - 1)*(a + 18)
Let -6*s**4/7 - 14*s**3 + 1822*s**2/7 + 366*s + 648/7 = 0. What is s?
-27, -1, -1/3, 12
What is w in -w**3/2 - 5*w**2/2 + w/2 + 5/2 = 0?