, 41
Factor 4*i**3/3 + 16*i**2 - 260*i - 9464/3.
4*(i - 14)*(i + 13)**2/3
Determine i so that 5*i**5 + 30*i**4 + 60*i**3 + 50*i**2 + 15*i = 0.
-3, -1, 0
Determine h, given that 20*h**5 + 83*h**4 + 10*h**3 - 8*h**2 = 0.
-4, -2/5, 0, 1/4
Find k such that -2*k**4/5 + 34*k**3/5 - 192*k**2/5 + 72*k = 0.
0, 5, 6
Solve -35*w**5/6 + 115*w**4/6 + 55*w**3/3 - 20*w**2/3 = 0.
-1, 0, 2/7, 4
Factor 3*s**5 - 114*s**4 + 963*s**3 + 2280*s**2 + 1200*s.
3*s*(s - 20)**2*(s + 1)**2
Let -c**2 - 6*c - 8 = 0. Calculate c.
-4, -2
Solve 2*o**4 - 2*o**3 - 10*o**2 - 6*o = 0 for o.
-1, 0, 3
Let -35*l**4 - 190*l**3 - 195*l**2 + 180*l = 0. Calculate l.
-3, 0, 4/7
Factor -5*q**4 + 290*q**3 - 4200*q**2 - 290*q + 4205.
-5*(q - 29)**2*(q - 1)*(q + 1)
Factor 7*q**3/3 + 8*q**2 - 417*q - 180.
(q - 12)*(q + 15)*(7*q + 3)/3
Factor -4*s**2/3 + 108*s.
-4*s*(s - 81)/3
Factor -5*f**2 - 570*f.
-5*f*(f + 114)
Factor v**4/8 + 95*v**3/8 + 34*v**2 - 46*v.
v*(v - 1)*(v + 4)*(v + 92)/8
Solve -4*v**5 - 136*v**4 + 988*v**3 + 1120*v**2 = 0 for v.
-40, -1, 0, 7
Solve 2*s**2/11 + 364*s + 182182 = 0 for s.
-1001
Factor 22*l**3/5 - 312*l**2/5 + 1134*l/5 - 196/5.
2*(l - 7)**2*(11*l - 2)/5
Factor n**3/2 - 10*n**2 + 19*n/2.
n*(n - 19)*(n - 1)/2
Suppose -2184*w**5 + 8188*w**4 + 2536*w**3 - 1408*w**2 + 128*w = 0. Calculate w.
-4/7, 0, 2/13, 1/6, 4
Factor -5*y**3 - 1810*y**2 + 3635*y - 1820.
-5*(y - 1)**2*(y + 364)
Factor r**4/3 + 76*r**3/3 + 466*r**2/3 - 388*r + 207.
(r - 1)**2*(r + 9)*(r + 69)/3
Factor 3*d**4 - 324*d**3 + 8418*d**2 + 17820*d + 9075.
3*(d - 55)**2*(d + 1)**2
Suppose -a**2/12 + 590*a/3 - 348100/3 = 0. Calculate a.
1180
Factor -n**4/3 - n**3 + 3*n**2 - 5*n/3.
-n*(n - 1)**2*(n + 5)/3
Find m, given that 2*m**4 - 226*m**3 - 2*m**2 + 226*m = 0.
-1, 0, 1, 113
Solve 11*r**2 + 5*r/2 = 0.
-5/22, 0
Solve -7*o**5 + 4*o**4 + 13*o**3 - 10*o**2 = 0 for o.
-10/7, 0, 1
Factor -20*t**2/3 - 276*t - 328/3.
-4*(t + 41)*(5*t + 2)/3
What is b in -3*b**5/2 - 45*b**4 - 516*b**3 - 2784*b**2 - 6912*b - 6144 = 0?
-8, -4, -2
Find s such that 4*s**2/3 + 88*s/3 - 320 = 0.
-30, 8
Suppose 5*c**3 - 20*c**2 - 25*c = 0. What is c?
-1, 0, 5
Factor a**2/5 + 4*a/5 - 21/5.
(a - 3)*(a + 7)/5
Factor 244*r**3 + 252*r**2 + 8*r.
4*r*(r + 1)*(61*r + 2)
Find o such that 8*o**4 - 236*o**3 + 1680*o**2 + 900*o = 0.
-1/2, 0, 15
Let -3*u**2 + 195*u + 198 = 0. Calculate u.
-1, 66
Find z, given that z**2/3 + 26*z/3 + 169/3 = 0.
-13
Factor -5*d**4 + 5*d**3.
-5*d**3*(d - 1)
Let 5*r**2 - 8185*r = 0. What is r?
0, 1637
Solve 2*a**3/9 - 4*a**2/9 - 2*a/3 = 0.
-1, 0, 3
Find s such that -s**2/9 - 430*s/9 + 431/9 = 0.
-431, 1
Suppose 6*a**2 - 208*a - 70 = 0. Calculate a.
-1/3, 35
Find u, given that -25*u**5 - 3025*u**4 - 17371*u**3 - 13891*u**2 + 2780*u + 2300 = 0.
-115, -5, -1, -2/5, 2/5
Determine a, given that -3*a**5/5 - 141*a**4/5 - 2013*a**3/5 - 11523*a**2/5 - 5040*a - 15552/5 = 0.
-27, -8, -3, -1
Factor -53*i**2/4 - 1433*i/4 - 27/2.
-(i + 27)*(53*i + 2)/4
Find c such that -3*c**3/5 - 6*c**2/5 + 3*c/5 + 6/5 = 0.
-2, -1, 1
Solve -4*q**4 + 984*q**3 - 976*q**2 - 984*q + 980 = 0 for q.
-1, 1, 245
Determine o so that o**3 + 5*o**2 + 3*o - 9 = 0.
-3, 1
Factor 4*n**4 + 4*n**3 - 788*n**2 - 4404*n - 6336.
4*(n - 16)*(n + 3)**2*(n + 11)
Suppose -5*i**3 - 55*i**2 - 90*i = 0. What is i?
-9, -2, 0
Factor 4*m**2 - 588*m.
4*m*(m - 147)
Find a, given that -4*a**5/5 + 168*a**4/5 - 896*a**3/5 + 1128*a**2/5 + 180*a - 1296/5 = 0.
-1, 1, 3, 36
Factor -2*n**4 + 374*n**3 - 24120*n**2 + 583200*n - 3024000.
-2*(n - 60)**3*(n - 7)
Find l, given that 4*l**4 + 20*l**3 + 16*l**2 = 0.
-4, -1, 0
Factor -d**4 + 17*d**3 - 60*d**2.
-d**2*(d - 12)*(d - 5)
Let 2*a**2/11 + 2704*a/11 + 913952/11 = 0. Calculate a.
-676
Factor -5*v**2 - 50*v - 120.
-5*(v + 4)*(v + 6)
Determine c, given that -c**3/8 - 37*c**2/8 - 71*c/8 - 35/8 = 0.
-35, -1
Factor 2*d**3/13 + 150*d**2/13 - 308*d/13.
2*d*(d - 2)*(d + 77)/13
Solve 3*l**4 - 9*l**3 - 18*l**2 + 24*l = 0 for l.
-2, 0, 1, 4
Factor 4*w**3/7 - 740*w**2/7 - 1492*w/7 - 748/7.
4*(w - 187)*(w + 1)**2/7
Suppose 5*v**5 - 25*v**4 - 70*v**3 - 10*v**2 + 65*v + 35 = 0. What is v?
-1, 1, 7
What is t in 5*t**2 - 65*t - 150 = 0?
-2, 15
Suppose -5*c**2 - 435*c - 1660 = 0. What is c?
-83, -4
Suppose 21*v**5/5 - 261*v**4/5 + 306*v**3/5 + 264*v**2/5 = 0. What is v?
-4/7, 0, 2, 11
Determine d so that 27*d**5 - 2988*d**4 + 80607*d**3 + 116598*d**2 - 104160*d + 18816 = 0.
-2, 1/3, 56
Let w**5/6 + 151*w**4/3 + 29983*w**3/6 + 155805*w**2 - 733482*w - 884340 = 0. What is w?
-102, -1, 5
Determine p, given that p**3/2 - p**2/2 - 5*p - 4 = 0.
-2, -1, 4
Determine d so that -4*d**4/7 - 184*d**3/7 + 4*d**2 + 1312*d/7 + 1104/7 = 0.
-46, -2, -1, 3
Factor -q**3/10 + q**2/10 + 4*q/5 - 6/5.
-(q - 2)**2*(q + 3)/10
Factor 10*b**3 - 5184*b**2 + 672882*b - 268324.
2*(b - 259)**2*(5*b - 2)
Factor 2*d**2/9 - 56*d/9 + 6.
2*(d - 27)*(d - 1)/9
Factor -5*c**3 - 50*c**2 + 185*c - 130.
-5*(c - 2)*(c - 1)*(c + 13)
Factor g**3/5 - 12*g**2/5 + 11*g/5.
g*(g - 11)*(g - 1)/5
Factor -2*t**3/7 - 58*t**2/7 - 8*t.
-2*t*(t + 1)*(t + 28)/7
Find n such that -4*n**3 + 144*n**2 - 272*n = 0.
0, 2, 34
Factor -2*l**2/5 - 12*l - 90.
-2*(l + 15)**2/5
Solve -2*b**3/15 + 4*b**2/5 - 2*b/3 = 0.
0, 1, 5
Factor 3*k**4 - 18*k**3 + 36*k**2 - 24*k.
3*k*(k - 2)**3
Determine q, given that -2*q**4 - 16*q**3 - 38*q**2 - 24*q = 0.
-4, -3, -1, 0
Solve -16*g**5 - 164*g**4 + 344*g**3 + 96*g**2 = 0 for g.
-12, -1/4, 0, 2
Find h, given that 5*h**2 + 1075*h - 2170 = 0.
-217, 2
Factor -2*w**5/11 - 4*w**4/11 - 2*w**3/11.
-2*w**3*(w + 1)**2/11
Solve 17*z**5/2 + 219*z**4/2 + 535*z**3/2 + 461*z**2/2 + 54*z - 10 = 0.
-10, -1, 2/17
Suppose 2*v**3/11 + 882*v**2/11 + 129654*v/11 + 6353046/11 = 0. Calculate v.
-147
Find l such that 18*l**5 - 66*l**4 + 38*l**3 - 6*l**2 = 0.
0, 1/3, 3
Suppose -n**5/4 + 8*n**4 + n**3/2 - 16*n**2 - n/4 + 8 = 0. What is n?
-1, 1, 32
Factor 3*x**2/2 + 150*x - 303/2.
3*(x - 1)*(x + 101)/2
Let 4*k**5/9 - 23*k**4/9 + 2*k**3/3 + 43*k**2/9 + 10*k/9 = 0. What is k?
-1, -1/4, 0, 2, 5
Factor -5*g**5 + 45*g**4 - 90*g**3.
-5*g**3*(g - 6)*(g - 3)
What is q in -2*q**3/13 + 2*q**2 + 32*q/13 - 56/13 = 0?
-2, 1, 14
Let -n**3 + 155*n**2 - 5767*n - 18723 = 0. What is n?
-3, 79
What is m in -3*m**4/7 - 6*m**3/7 - 3*m**2/7 = 0?
-1, 0
Factor 5*d**5 + 40*d**4 + 90*d**3 + 80*d**2 + 25*d.
5*d*(d + 1)**3*(d + 5)
Solve o**5/7 + 3*o**4/7 + 3*o**3/7 + o**2/7 = 0.
-1, 0
What is a in -4*a**3 + 616*a**2 + 1260*a - 1872 = 0?
-3, 1, 156
Determine q, given that -33*q**2/4 + 357*q/2 = 0.
0, 238/11
Suppose -2*o**4/5 - 6*o**3/5 + 12*o**2/5 + 16*o/5 = 0. Calculate o.
-4, -1, 0, 2
Find u such that 5*u**3 - 195*u**2 - 5*u + 195 = 0.
-1, 1, 39
Determine m, given that -116*m**2/13 + 62*m/13 - 2/13 = 0.
1/29, 1/2
Factor 2*d**4/3 + 26*d**3/3 + 116*d**2/3 + 72*d + 48.
2*(d + 2)**2*(d + 3)*(d + 6)/3
Factor -3*r**4 + 24*r**3 + 345*r**2 + 606*r + 288.
-3*(r - 16)*(r + 1)**2*(r + 6)
Let -3*u**3 + 108*u**2 - 99*u - 210 = 0. Calculate u.
-1, 2, 35
Solve -2*b**5/3 + 38*b**4/3 + 172*b**3/3 + 268*b**2/3 + 182*b/3 + 46/3 = 0 for b.
-1, 23
Factor -i**3/2 + 26*i**2 + 595*i/2 + 775.
-(i - 62)*(i + 5)**2/2
Let -2*h**2 - 2092*h - 547058 = 0. What is h?
-523
Factor -2*r**3/5 + 14*r**2/15 - 4*r/15.
-2*r*(r - 2)*(3*r - 1)/15
Factor 4*n**3/3 + 512*n**2/3 + 5104*n - 23232.
4*(n - 4)*(n + 66)**2/3
Factor n**2/4 - 4*n - 57/4.
(n - 19)*(n + 3)/4
Factor -4*t**4 - 176*t**3 - 756*t**2 + 936*t.
-4*t*(t - 1)*(t + 6)*(t + 39)
Factor -2*k**3 - 12*k**2/5 + 72*k/25 - 16/25.
-2*(k + 2)*(5*k - 2)**2/25
Suppose -2*a**4 - 96*a**3 - 362*a**2 - 444*a - 176 = 0. Calculate a.
-44, -2, -1
Factor 676*p**4 + 28548*p**3 - 22507*p**2 - 6330*p - 387.
(p - 1)*(p + 43)*(26*p + 3)**2
Factor -2*u**3/13 - 210*u**2/13.
-2*u**2*(u + 105)/13
Factor -2*j**4 + 34*j**3 - 62*j**2 + 30*j.
-2*j*(j - 15)*(j - 1)**2
Factor 2*u**2/3 - 4244*u/3 + 2251442/3.
2*(u - 1061)**2/3
Let -5*c**4 - 625*c**3 - 24205*c**2 - 276395*c - 252810 = 0. What is c?
-53, -18, -1
Let 2*m**3 - 2*m**2 = 0. Calculate m.
0, 1
Factor 5*h**5 - 35*h**4 - 15*h**3 + 115*h**2 - 70*h.
5*h*(h - 7)*(h - 1)**2*(h + 2)
Factor 248*z**3/5 + 50*z**2 + 2*z/5.
2*z*(z + 1)*(124*z + 1)/5
Factor 4*n**4 + 16*n**3 + 8*n**2 - 16*n - 12.
4*(n - 1)*(n + 1)**2*(n + 3)
Suppose k**2 + 189*k + 188 = 0. What is k?
-188, -1
Factor 2*h**3 - 16*h**2 - 90*h - 72.
2*(h - 