0. Calculate c.
-2, 3/40
Factor -i**4/5 + 39*i**3/5 - 144*i**2/5 - 5184*i/5.
-i*(i - 24)**2*(i + 9)/5
Let -3*s**2/7 + 54*s/7 - 135/7 = 0. What is s?
3, 15
Let b**5 - 21*b**4 + 116*b**3 + 160*b**2 - 2304*b + 2048 = 0. What is b?
-4, 1, 8
Factor f**3 - 57*f**2 - 310*f.
f*(f - 62)*(f + 5)
Factor -n**4 - 8*n**3 + n**2 + 8*n.
-n*(n - 1)*(n + 1)*(n + 8)
Factor 2*l**3 + 262*l**2 + 772*l + 512.
2*(l + 1)*(l + 2)*(l + 128)
Determine d, given that -4*d**2 - 36*d - 80 = 0.
-5, -4
Let -4*y**2 - 120*y - 116 = 0. Calculate y.
-29, -1
Find d such that 2*d**2 - 28*d + 90 = 0.
5, 9
Solve -u**2/4 - 89*u/4 = 0.
-89, 0
What is i in -i**5/7 + 2*i**4 + 192*i**3/7 + 338*i**2/7 + 23*i = 0?
-7, -1, 0, 23
Factor 15*a**2 + 655*a - 220.
5*(a + 44)*(3*a - 1)
Factor 18*c**4 + 286*c**3 + 1120*c**2 - 128*c.
2*c*(c + 8)**2*(9*c - 1)
Determine v so that -3*v**2/4 - 18*v = 0.
-24, 0
Suppose 86*p**2/7 - 1112*p/7 - 78/7 = 0. Calculate p.
-3/43, 13
Solve 21*z**5/5 - 193*z**4/5 + 102*z**3/5 + 1492*z**2/5 + 1752*z/5 + 576/5 = 0.
-8/7, -1, -2/3, 6
Factor z**5/3 + z**4/3 - 5*z**3/3 + z**2.
z**2*(z - 1)**2*(z + 3)/3
Determine s, given that -s**2/10 + 214*s/5 = 0.
0, 428
Solve -2*u**3/9 - 10*u**2/9 - 16*u/9 - 8/9 = 0 for u.
-2, -1
What is m in -6*m**5/5 + 3*m**4/5 + 3*m**3 + 6*m**2/5 = 0?
-1, -1/2, 0, 2
Factor 2*y**3/7 - 24*y**2/7 + 54*y/7.
2*y*(y - 9)*(y - 3)/7
Factor -105*y**2/2 + 5*y/4.
-5*y*(42*y - 1)/4
Factor -8*r**4/3 - 19*r**3/3 - 14*r**2/3 - r.
-r*(r + 1)**2*(8*r + 3)/3
Determine s, given that -s**2 + 2888*s - 2085136 = 0.
1444
Factor -3*j**4/5 + 621*j**3/5 - 369*j**2 + 1839*j/5 - 612/5.
-3*(j - 204)*(j - 1)**3/5
Determine y, given that 25675*y**4 - 77035*y**3 + 77055*y**2 - 25705*y + 10 = 0.
2/5135, 1
Solve -2*a**4 + 44*a**3 + 6*a**2 - 136*a + 88 = 0.
-2, 1, 22
Factor -3*n**2/5 - 528*n/5 + 531/5.
-3*(n - 1)*(n + 177)/5
Determine n so that 6*n**3 + 9*n**2 + 3*n = 0.
-1, -1/2, 0
Factor -2*u**5 + 64*u**4 - 684*u**3 + 1944*u**2 + 10206*u - 52488.
-2*(u - 9)**4*(u + 4)
Factor 18*a**2/7 - 16*a/7.
2*a*(9*a - 8)/7
Determine h, given that 2*h**4 + 42*h**3 - 44*h**2 = 0.
-22, 0, 1
Factor 18*g**4/13 + 80*g**3/13 + 32*g**2/13.
2*g**2*(g + 4)*(9*g + 4)/13
Factor -5*a**2 + 105*a + 500.
-5*(a - 25)*(a + 4)
Find f, given that 18*f**5/7 - 192*f**4 - 3202*f**3/7 - 2456*f**2/7 - 88*f = 0.
-1, -2/3, 0, 77
Factor -5*g**2 - 8325*g + 8330.
-5*(g - 1)*(g + 1666)
Suppose -c**3/6 - c**2/2 + 2/3 = 0. What is c?
-2, 1
Factor 4*i**4 + 192*i**3 - 200*i**2 - 192*i + 196.
4*(i - 1)**2*(i + 1)*(i + 49)
Determine a, given that -5*a**4 - 40*a**3 - 85*a**2 + 10*a + 120 = 0.
-4, -3, -2, 1
Let 3*s**5/7 - 9*s**4 + 57*s**3/7 + 9*s**2 - 60*s/7 = 0. What is s?
-1, 0, 1, 20
What is w in 5*w**4 + 160*w**3 + 285*w**2 - 450*w = 0?
-30, -3, 0, 1
Let 2*i**5/11 + 32*i**4/11 - 148*i**3/11 + 232*i**2/11 - 158*i/11 + 40/11 = 0. Calculate i.
-20, 1
Factor t**5 + 41*t**4 + 471*t**3 + 931*t**2 - 1444*t.
t*(t - 1)*(t + 4)*(t + 19)**2
Let -3*c**2 + 99*c + 102 = 0. Calculate c.
-1, 34
Solve -2*q**4/9 + 64*q**3/3 + 130*q**2/3 + 196*q/9 = 0.
-1, 0, 98
Factor -2*u**3/5 + 4*u**2/5.
-2*u**2*(u - 2)/5
Factor -a**2/4 - 40*a - 159/4.
-(a + 1)*(a + 159)/4
Factor 2*c**4/5 + 22*c**3/5 + 52*c**2/5 + 32*c/5.
2*c*(c + 1)*(c + 2)*(c + 8)/5
What is y in 2*y**4/17 - 10*y**3/17 = 0?
0, 5
Factor z**3/5 - 4*z**2/5 - 21*z + 108/5.
(z - 12)*(z - 1)*(z + 9)/5
Factor l**5/3 + 37*l**4/3 - 82*l**3 + 508*l**2/3 - 344*l/3.
l*(l - 2)**3*(l + 43)/3
Suppose -2*v**2/9 + 772*v/9 - 74498/9 = 0. What is v?
193
Factor q**5/2 + 9*q**4 + 117*q**3/2 + 162*q**2 + 162*q.
q*(q + 3)**2*(q + 6)**2/2
Solve -8*j**5 - 36*j**4 + 32*j**3 + 56*j**2 - 24*j - 20 = 0.
-5, -1, -1/2, 1
Solve -2*f**3 + 76*f**2 + 158*f + 80 = 0.
-1, 40
Factor d**3/3 + 11*d**2/3 - d/3 - 11/3.
(d - 1)*(d + 1)*(d + 11)/3
Suppose y**5/10 + 3*y**4/10 - 28*y**3/5 + 66*y**2/5 - 8*y = 0. Calculate y.
-10, 0, 1, 2, 4
Factor 1534580*v**2 + 5540*v + 5.
5*(554*v + 1)**2
Factor -s**2 + 6*s.
-s*(s - 6)
Factor -48*n**3 - 5880*n**2 - 8739*n - 3267.
-3*(n + 121)*(4*n + 3)**2
Solve 10*l**2/11 + 416*l/11 - 2538/11 = 0 for l.
-47, 27/5
Factor -z**4/5 + 11348*z**3/5 - 32182926*z**2/5 - 12879980*z - 6441125.
-(z - 5675)**2*(z + 1)**2/5
Factor 5*h**3 + 615*h**2 + 610*h.
5*h*(h + 1)*(h + 122)
Find d, given that 4*d**3 + 152*d**2 + 908*d + 1240 = 0.
-31, -5, -2
Suppose 2*o**3 - 142*o**2 + 3294*o - 24786 = 0. What is o?
17, 27
Factor 2*m**5/9 + 38*m**4/9 + 4*m**3.
2*m**3*(m + 1)*(m + 18)/9
Suppose 2*u**2 - 16*u + 24 = 0. What is u?
2, 6
Factor -5*p**2 + 31*p/3 - 2/3.
-(p - 2)*(15*p - 1)/3
Factor -40*t**3 - 46*t**2 - 6*t.
-2*t*(t + 1)*(20*t + 3)
Factor -2*i**4 - 26*i**3 - 52*i**2 + 80*i.
-2*i*(i - 1)*(i + 4)*(i + 10)
Suppose o**2/4 + 321*o/2 + 103041/4 = 0. Calculate o.
-321
Factor 5*f**4 + 135*f**3 + 585*f**2 + 785*f + 330.
5*(f + 1)**2*(f + 3)*(f + 22)
Suppose -5*o**3 - 565*o**2 + 1730*o - 1160 = 0. Calculate o.
-116, 1, 2
Factor -3*f**3 + 1770*f**2 + 5331*f + 3558.
-3*(f - 593)*(f + 1)*(f + 2)
Determine q, given that 3*q**4 + 198*q**3 - 615*q**2 + 414*q = 0.
-69, 0, 1, 2
Solve k**3 + 31*k**2 - 136*k + 140 = 0 for k.
-35, 2
Suppose 33*v**5 + 222*v**4 - 162*v**3 - 732*v**2 - 255*v + 126 = 0. Calculate v.
-7, -1, 3/11, 2
Factor -2*r**3 + 14*r**2 + 120*r.
-2*r*(r - 12)*(r + 5)
Let 4*u**3 - 40*u**2 + 28*u + 72 = 0. Calculate u.
-1, 2, 9
Find v such that -5*v**2 - 43*v - 24 = 0.
-8, -3/5
Find d such that -3*d**2 - 795*d - 2358 = 0.
-262, -3
Factor 4*f**3 + 84*f**2 + 156*f + 76.
4*(f + 1)**2*(f + 19)
Factor -j**3 + 72*j**2 + 147*j + 74.
-(j - 74)*(j + 1)**2
Suppose -2*z**4 - 11*z**3 + 20*z**2 - 7*z = 0. What is z?
-7, 0, 1/2, 1
Let -3*i**3 + 1752*i**2 = 0. Calculate i.
0, 584
Factor 2*i**3/3 + 10*i**2/3 + 4*i/3 - 16/3.
2*(i - 1)*(i + 2)*(i + 4)/3
Factor 6*q**2 + 316*q/3 + 462.
2*(q + 9)*(9*q + 77)/3
Let -3*l**5/5 - 201*l**4/5 - 5007*l**3/5 - 55803*l**2/5 - 257754*l/5 - 329232/5 = 0. What is l?
-19, -8, -2
Solve -3*v**5 - 51*v**4/8 + 21*v**3/8 + 27*v**2/4 = 0 for v.
-2, -9/8, 0, 1
Factor 7215*a**3/8 - 1473*a**2/8 + 3*a/4.
3*a*(5*a - 1)*(481*a - 2)/8
Find l such that l**5 - 8*l**4 - 16*l**3 + 278*l**2 - 705*l + 450 = 0.
-6, 1, 3, 5
Suppose -d**4/6 - 4*d**3/3 - d**2/6 + 7*d = 0. What is d?
-7, -3, 0, 2
Find p, given that -10*p**4 - 24*p**3 + 2*p**2 + 24*p + 8 = 0.
-2, -1, -2/5, 1
Suppose -2*z**3/5 - 12*z**2/5 - 22*z/5 - 12/5 = 0. What is z?
-3, -2, -1
Solve 4*o**5 - 18*o**4 - 12*o**3 + 10*o**2 = 0 for o.
-1, 0, 1/2, 5
Factor -4*n**4 - 20*n**3 + 12*n**2 + 52*n - 40.
-4*(n - 1)**2*(n + 2)*(n + 5)
Factor 69*v**3 - 1033*v**2/3 - 4978*v/3 - 16.
(v - 8)*(v + 3)*(207*v + 2)/3
Solve -2*c**3/21 + 26*c**2/21 - 46*c/21 + 22/21 = 0 for c.
1, 11
Suppose -3*s**3/7 - 54*s**2/7 - 45*s/7 + 102/7 = 0. Calculate s.
-17, -2, 1
Determine g so that g**3/2 + 8*g**2 + 51*g/2 + 18 = 0.
-12, -3, -1
Factor 2*t**2/17 - 14*t/17 - 16/17.
2*(t - 8)*(t + 1)/17
Factor -5*u**3 + 105*u**2 + 360*u.
-5*u*(u - 24)*(u + 3)
Factor 5*z**3 - 450*z**2 + 885*z - 440.
5*(z - 88)*(z - 1)**2
Determine z so that -12*z**3/7 - 38*z**2/7 + 114*z/7 + 20/7 = 0.
-5, -1/6, 2
Factor -3*k**3 + 48*k**2 - 135*k - 486.
-3*(k - 9)**2*(k + 2)
Let 4*l**2 - 172*l + 624 = 0. What is l?
4, 39
Factor m**4/6 - 29*m**3/6 - 35*m**2 - 16*m/3 + 560/3.
(m - 35)*(m - 2)*(m + 4)**2/6
Factor -3*t**4 - 114*t**3 - 315*t**2.
-3*t**2*(t + 3)*(t + 35)
Suppose 5*u**2 - 8040*u + 3232080 = 0. Calculate u.
804
Suppose -6*p**4/13 - 148*p**3/13 - 222*p**2/13 + 192*p/13 + 184/13 = 0. What is p?
-23, -2, -2/3, 1
Find h such that 3*h**2 + 1818*h - 1821 = 0.
-607, 1
Factor -b**5/4 - 2*b**4 - 3*b**3.
-b**3*(b + 2)*(b + 6)/4
What is b in -8*b**4/9 - 2*b**3/3 + 34*b**2/9 + 8*b/3 - 8/9 = 0?
-2, -1, 1/4, 2
Solve 65*f**3 - 335*f**2 + 310*f - 40 = 0 for f.
2/13, 1, 4
Find r such that 4*r**2 + 68*r + 120 = 0.
-15, -2
Suppose -4*p**4 + 26*p**3/9 - 4*p**2/9 = 0. Calculate p.
0, 2/9, 1/2
Factor -2*n**2/13 + 10*n + 132/13.
-2*(n - 66)*(n + 1)/13
Factor -4*x**4 + 52*x**3 - 132*x**2 + 124*x - 40.
-4*(x - 10)*(x - 1)**3
Solve -2*h**2 - 162*h - 160 = 0.
-80, -1
Solve 5*d**3/2 - 10*d**2 - 15*d/2 + 45 = 0 for d.
-2, 3
Factor -3*x**3 - 12*x**2 - 12*x.
-3*x*(x + 2)**2
Suppose -5*w**4 + 25*w**3 - 15*w**2 - 25*w + 20 = 0. Calculate w.
-1, 1, 4
Factor 4*f**4 - 136*f**3 + 500*f**2 - 608*f + 240.
4*(f - 30)*(f - 2)*(f - 1)**2
Let 26*j**5 + 188*j**4 