5.
(v + 1)*(v + 2)*(v + 25)/2
Find l such that 5*l**2 - 1070*l + 1065 = 0.
1, 213
Find p, given that -4*p**4/5 + 44*p**3/5 - 36*p**2/5 - 476*p/5 - 392/5 = 0.
-2, -1, 7
Determine a so that 124*a**4 + 120*a**3 - 1120*a**2 - 1080*a + 36 = 0.
-3, -1, 1/31, 3
Factor -o**4 - 14*o**3 + 15*o**2.
-o**2*(o - 1)*(o + 15)
Factor -2*h**2/15 - 1244*h/5 - 580326/5.
-2*(h + 933)**2/15
Determine b, given that -2*b**5/21 + 2*b**4/7 - 4*b**3/21 = 0.
0, 1, 2
Find v, given that -5*v**4 - 30*v**3 + 35*v**2 = 0.
-7, 0, 1
Let 2*x**3/5 - 114*x**2/5 - 2538*x/5 - 2430 = 0. Calculate x.
-9, 75
Determine c so that -2*c**2/3 - 430*c/3 - 428/3 = 0.
-214, -1
Determine m so that 5*m**4/4 + 7605*m**3/4 + 1447785*m**2/2 + 710600*m - 4332000 = 0.
-760, -3, 2
Factor -2*d**3/21 - 152*d**2/21 - 442*d/21 - 292/21.
-2*(d + 1)*(d + 2)*(d + 73)/21
Suppose 25*i**3/6 + 5*i**2/3 - 35*i/6 = 0. Calculate i.
-7/5, 0, 1
What is c in 2*c**4 + 32*c**3 + 162*c**2 + 292*c + 160 = 0?
-8, -5, -2, -1
Factor -11*h**4/7 + 39*h**3/7 - 51*h**2/7 + 29*h/7 - 6/7.
-(h - 1)**3*(11*h - 6)/7
Factor -2*i**3/7 - 2130*i**2/7 - 756150*i/7 - 89477750/7.
-2*(i + 355)**3/7
Factor 2*b**3/3 + 4*b**2 - 50*b/3 + 12.
2*(b - 2)*(b - 1)*(b + 9)/3
Suppose 2*z**4/7 - 44*z**3/7 + 242*z**2/7 = 0. What is z?
0, 11
Factor 3*a**4 - 24*a**3 + 21*a**2 + 216*a - 432.
3*(a - 4)**2*(a - 3)*(a + 3)
Determine b, given that 4*b**3/5 + 179*b**2/5 - 421*b/5 + 94/5 = 0.
-47, 1/4, 2
Factor 4*a**3 - 72*a**2 + 324*a - 432.
4*(a - 12)*(a - 3)**2
Factor -3*b**2 - 150*b - 1287.
-3*(b + 11)*(b + 39)
Factor v**2 + 8*v/3 - 1.
(v + 3)*(3*v - 1)/3
Factor -n**3/2 - 23*n**2/2 - 80*n - 150.
-(n + 3)*(n + 10)**2/2
Find a such that 5*a**2 - 110*a - 240 = 0.
-2, 24
Factor 12*h**2 + 32*h + 16.
4*(h + 2)*(3*h + 2)
Determine l, given that 9*l**4 + 15*l**3 - 6*l**2 = 0.
-2, 0, 1/3
Find f, given that 98*f**3 + 205464*f**2 + 117384*f + 16768 = 0.
-2096, -2/7
Determine r so that 3*r**4 + 54*r**3 - 57*r**2 = 0.
-19, 0, 1
Factor 3*k**2/4 - 5961*k + 11844507.
3*(k - 3974)**2/4
Suppose -3*z**3/5 + 3*z**2/5 + 6*z/5 = 0. What is z?
-1, 0, 2
Determine b, given that 2*b**3/5 - 18*b**2/5 + 46*b/5 - 6 = 0.
1, 3, 5
Factor -2*b**3/7 - 402*b**2/7 - 1440*b - 9688.
-2*(b + 14)**2*(b + 173)/7
Solve -2*k**4/5 - 2*k**3/5 + 16*k**2 - 232*k/5 + 192/5 = 0 for k.
-8, 2, 3
Suppose 8*o**4/3 - 154*o**3/3 - 174*o**2 + 844*o/3 - 176/3 = 0. Calculate o.
-4, 1/4, 1, 22
Find v such that -4*v**3/21 - 10*v**2/21 + 58*v/21 - 44/21 = 0.
-11/2, 1, 2
Factor 3*t**2 - 438*t + 435.
3*(t - 145)*(t - 1)
Factor -2*h**3 - 21*h**2/2 - 17*h/2.
-h*(h + 1)*(4*h + 17)/2
Factor -5*r**3 - 200*r**2 + 5*r + 200.
-5*(r - 1)*(r + 1)*(r + 40)
Factor -9*s**3/2 + 3*s**2/2 + 4*s - 2.
-(s + 1)*(3*s - 2)**2/2
Let 3*w**3/5 + 333*w**2/5 + 654*w/5 = 0. What is w?
-109, -2, 0
Factor -5*k**2 - 35*k - 60.
-5*(k + 3)*(k + 4)
Factor 3*x**4 + 6*x**3 - 12*x**2 - 6*x + 9.
3*(x - 1)**2*(x + 1)*(x + 3)
Suppose 3*h**5/4 - 7*h**4/4 + h**3/2 + 3*h**2/2 - 5*h/4 + 1/4 = 0. Calculate h.
-1, 1/3, 1
Determine h, given that 6*h**5/19 - 8*h**4/19 - 8*h**3/19 = 0.
-2/3, 0, 2
Let -t**5/6 - t**4/3 + 4*t**3 + 25*t**2/3 + 25*t/6 = 0. Calculate t.
-5, -1, 0, 5
Determine s so that -s**3/3 + 514*s**2/3 - 66560*s/3 + 131072/3 = 0.
2, 256
Find j such that -2*j**4/9 - 20*j**3/3 - 104*j**2/3 + 2108*j/9 - 578/3 = 0.
-17, 1, 3
What is r in 7*r**5 - 177*r**4 + 379*r**3 - 255*r**2 + 46*r = 0?
0, 2/7, 1, 23
Factor -o**2/7 - 9*o/7 - 2.
-(o + 2)*(o + 7)/7
Determine j so that 169*j**5/6 + 47801*j**4/6 + 550587*j**3 - 5438363*j**2/3 + 1614613*j/6 - 20449/2 = 0.
-143, 1/13, 3
Factor 4*h**5 - 36*h**4 + 120*h**3 - 184*h**2 + 132*h - 36.
4*(h - 3)**2*(h - 1)**3
Find k, given that k**4 + 173*k**3/2 + 43*k**2 = 0.
-86, -1/2, 0
Suppose i**2 + 2060*i + 1060900 = 0. Calculate i.
-1030
Factor j**3/4 - j**2/4 - 11*j + 21.
(j - 6)*(j - 2)*(j + 7)/4
Suppose 22*v**2/3 + 64*v/3 + 40/3 = 0. Calculate v.
-2, -10/11
Suppose y**3 - 8*y**2 - 11*y + 18 = 0. Calculate y.
-2, 1, 9
Determine a, given that 5*a**5 + 40*a**4 + 40*a**3 - 160*a**2 - 240*a = 0.
-6, -2, 0, 2
Determine x so that 6*x**2 + 33*x + 15 = 0.
-5, -1/2
Determine j so that -2*j**3/7 + 30*j**2/7 - 4*j = 0.
0, 1, 14
Determine v so that -4*v**2/9 - 32*v/3 - 28 = 0.
-21, -3
Find k, given that -k**3/2 + 33*k**2/2 - 363*k/2 + 1331/2 = 0.
11
Determine z so that z**4 + 16*z**3 + 78*z**2 + 144*z + 81 = 0.
-9, -3, -1
Solve 10*o**4/3 - 38*o**3 + 46*o**2 + 26*o/3 - 20 = 0 for o.
-3/5, 1, 10
Factor -4*b**4 - 3780*b**3 + 11364*b**2 - 11372*b + 3792.
-4*(b - 1)**3*(b + 948)
Let 6*a**4/11 - 180*a**3/11 + 822*a**2/11 + 1008*a/11 = 0. Calculate a.
-1, 0, 7, 24
Factor -2*f**5/5 + 82*f**4/5 - 252*f**3 + 1720*f**2 - 4400*f.
-2*f*(f - 11)*(f - 10)**3/5
Let -3*w**4 + 39*w**3 - 171*w**2 + 297*w - 162 = 0. Calculate w.
1, 3, 6
Factor 5*l**5 - 105*l**4 + 445*l**3 - 755*l**2 + 570*l - 160.
5*(l - 16)*(l - 2)*(l - 1)**3
Factor -d**2 - 51*d + 52.
-(d - 1)*(d + 52)
Let -8405*p**2 - 246*p - 9/5 = 0. What is p?
-3/205
What is l in 3*l**5 - 27*l**4 + 6*l**3 + 252*l**2 + 216*l = 0?
-2, -1, 0, 6
Factor 55*f**3 - 130*f**2 + 95*f - 20.
5*(f - 1)**2*(11*f - 4)
Find p such that -p**2/2 + 13*p/2 + 34 = 0.
-4, 17
Factor 4*m**2 + 140*m - 624.
4*(m - 4)*(m + 39)
Solve -d**4/4 - 19*d**3/4 - 9*d**2/2 = 0.
-18, -1, 0
Let 27*m**5/2 + 240*m**4 + 1026*m**3 - 483*m**2 - 2079*m/2 + 243 = 0. Calculate m.
-9, -1, 2/9, 1
Find j, given that 27*j**4 - 225*j**3 + 381*j**2 + 333*j + 60 = 0.
-1/3, 4, 5
Factor 4*a**2/3 - 16376*a + 50282508.
4*(a - 6141)**2/3
Suppose 5*x**4/2 + 6*x**3 - 8*x**2 - 24*x - 8 = 0. Calculate x.
-2, -2/5, 2
Factor 5*v**3 - 35*v**2 - 90*v.
5*v*(v - 9)*(v + 2)
Factor -4*h**5 - 20*h**4 - 36*h**3 - 28*h**2 - 8*h.
-4*h*(h + 1)**3*(h + 2)
Solve 9*k**4 + 48*k**3 - 36*k**2 = 0 for k.
-6, 0, 2/3
Factor 4*l**4 + 107*l**3 + 384*l**2 + 463*l + 182.
(l + 1)**2*(l + 2)*(4*l + 91)
Factor -2*o**4 - 10*o**3 + 358*o**2 - 1830*o + 2700.
-2*(o - 5)**2*(o - 3)*(o + 18)
Find m, given that -m**3/7 + 219*m**2/7 - 11880*m/7 - 12100/7 = 0.
-1, 110
Factor 5*q**2 - 525*q.
5*q*(q - 105)
Factor -y**4 + 39*y**3 - 507*y**2 + 2197*y.
-y*(y - 13)**3
Factor w**5/5 + 17*w**4/5 + 16*w**3 + 64*w**2/5.
w**2*(w + 1)*(w + 8)**2/5
Determine u, given that 5*u**5 + 195*u**4 + 1590*u**3 - 5990*u**2 + 6405*u - 2205 = 0.
-21, 1
Find n, given that -4*n**5/5 - 4*n**4/5 + 276*n**3/5 - 764*n**2/5 + 736*n/5 - 48 = 0.
-10, 1, 6
Suppose -2*u**4 - 36*u**3 - 32*u**2 + 36*u + 34 = 0. What is u?
-17, -1, 1
Determine z so that 2*z**3/15 - 14*z**2/15 - 12*z/5 = 0.
-2, 0, 9
Factor 5*n**3 + 80*n**2 + 340*n + 400.
5*(n + 2)*(n + 4)*(n + 10)
Factor q**2 + 110*q + 216.
(q + 2)*(q + 108)
Factor -t**4 - 4*t**3 - 2*t**2 + 4*t + 3.
-(t - 1)*(t + 1)**2*(t + 3)
Determine g so that -9*g**3/8 + 2769*g**2/4 + 462*g = 0.
-2/3, 0, 616
Solve -3*y**3/2 - 51*y**2 - 453*y/2 - 261 = 0 for y.
-29, -3, -2
Factor 2*r**4 + 8*r**3 + 8*r**2.
2*r**2*(r + 2)**2
Solve -3*p**3 + 2463*p**2 - 506760*p + 504300 = 0 for p.
1, 410
Suppose -h**3/3 + 32*h**2/3 + 517*h/3 + 484/3 = 0. What is h?
-11, -1, 44
Find r, given that 3*r**3 + 9*r**2 - 3*r - 9 = 0.
-3, -1, 1
Find t, given that 4*t**2 - 80*t + 396 = 0.
9, 11
Solve -x**5/4 + 171*x**4/4 - 169*x**3/2 - x**2/2 + 339*x/4 - 169/4 = 0.
-1, 1, 169
Factor 2*w**5 - 12*w**4 - 2*w**3 + 12*w**2.
2*w**2*(w - 6)*(w - 1)*(w + 1)
Solve -2*m**4/3 - 4*m**3/3 + 8*m**2/3 + 4*m/3 - 2 = 0.
-3, -1, 1
Solve -2*o**4 + 194*o**3 - 6336*o**2 + 71680*o - 65536 = 0.
1, 32
Factor -q**2/5 - 988*q - 1220180.
-(q + 2470)**2/5
Factor -4*z**2 - 7228*z + 7232.
-4*(z - 1)*(z + 1808)
Solve -12*h**5 + 152*h**4 - 252*h**3 - 688*h**2 + 48*h + 320 = 0.
-1, 2/3, 4, 10
Factor -197*v**3 - 3155*v**2/8 - 791*v/4 - 3/8.
-(v + 1)**2*(1576*v + 3)/8
Factor -2*w**2/11 + 1664*w/11 - 346112/11.
-2*(w - 416)**2/11
Let 6*s**4/5 + 2*s**3/5 - 8*s**2/5 = 0. Calculate s.
-4/3, 0, 1
Suppose -320*c**5/9 - 7232*c**4/9 - 4100*c**3/9 + 2722*c**2/9 - 134*c/9 - 44/9 = 0. Calculate c.
-22, -1, -1/10, 1/4
Suppose -3*u**3/5 + 3*u**2/5 + 27*u/5 - 27/5 = 0. What is u?
-3, 1, 3
Factor -v**2/8 - 4883*v/4 - 23843689/8.
-(v + 4883)**2/8
Factor -10*q**2/3 - 125*q/6 + 140/3.
-5*(q + 8)*(4*q - 7)/6
Solve -2*w**3 + 36*w**2 - 94*w + 60 = 0 for w.
1, 2, 15
Factor -g**3/3 - 22*g**2/3 - 19*g/3 + 14.
-(g - 1)*(g + 2)*(g + 21)/3
Let 12*y**4 + 280*y**3 + 604*y**2 + 336*y = 0. Wha