. Calculate o.
-991
Determine x so that -3*x**4 - 294*x**3 + 1848*x**2 - 2496*x = 0.
-104, 0, 2, 4
Let -5*f**2 - 400*f - 395 = 0. What is f?
-79, -1
Solve -4*m**2 + 40*m + 44 = 0 for m.
-1, 11
Let 3*r**4/5 + 234*r**3/5 + 6183*r**2/5 + 12636*r + 43740 = 0. Calculate r.
-30, -9
Determine y so that -7*y**4/5 - 24*y**3/5 + 54*y**2/5 + 216*y/5 + 81/5 = 0.
-3, -3/7, 3
Factor 10*f**2/7 + 68*f/7 + 48/7.
2*(f + 6)*(5*f + 4)/7
Factor z**4/7 - 34*z**3/7 + 108*z**2/7 + 360*z/7.
z*(z - 30)*(z - 6)*(z + 2)/7
Factor -5*l**4 + 130*l**3 - 125*l**2.
-5*l**2*(l - 25)*(l - 1)
Factor -5*d**2 - 65*d - 150.
-5*(d + 3)*(d + 10)
What is t in -2*t**2/3 + 22*t/3 + 140 = 0?
-10, 21
Solve 3*g**5/2 + 15*g**4 + 36*g**3 - 24*g**2 - 168*g - 144 = 0.
-6, -2, 2
Factor -2*h**4/13 - 12*h**3/13 - 16*h**2/13.
-2*h**2*(h + 2)*(h + 4)/13
Factor 3*n**5 - 27*n**4 + 39*n**3 + 135*n**2 - 150*n.
3*n*(n - 5)**2*(n - 1)*(n + 2)
What is a in 3*a**3 + 33*a**2 - 180*a = 0?
-15, 0, 4
Solve -5*p**5 - 290*p**4 + 635*p**3 + 2120*p**2 + 1200*p = 0.
-60, -1, 0, 4
Factor -2*f**2/9 - 130*f/9 - 124/3.
-2*(f + 3)*(f + 62)/9
Factor -9*u**2 - 1455*u + 486.
-3*(u + 162)*(3*u - 1)
Solve 5*s**3 + 305*s**2/2 + 60*s - 450 = 0.
-30, -2, 3/2
Factor -b**5/3 + b**4/3 + 5*b**3/3 - b**2/3 - 8*b/3 - 4/3.
-(b - 2)**2*(b + 1)**3/3
Factor 5*o**2 + 80*o + 300.
5*(o + 6)*(o + 10)
Suppose 4*r**3/3 - 28*r + 80/3 = 0. What is r?
-5, 1, 4
Factor -x**2/8 - 17*x/2 + 36.
-(x - 4)*(x + 72)/8
Solve -6*o**2 - 62*o + 44 = 0 for o.
-11, 2/3
Find u such that 8*u**5/19 - 10*u**4/19 - 14*u**3/19 + 4*u**2/19 = 0.
-1, 0, 1/4, 2
Factor q**3 - 3059*q**2 - 6121*q - 3061.
(q - 3061)*(q + 1)**2
Factor -5*o**3 - 90*o**2 - 480*o - 800.
-5*(o + 4)**2*(o + 10)
Factor 2*j**3/5 + 64*j**2/5 - 56*j + 288/5.
2*(j - 2)**2*(j + 36)/5
Find q, given that 2*q**5/5 - 21*q**4/5 + 58*q**3/5 - 68*q**2/5 + 36*q/5 - 7/5 = 0.
1/2, 1, 7
Factor 2*j**4 + 220*j**3 + 214*j**2 - 436*j.
2*j*(j - 1)*(j + 2)*(j + 109)
Find s, given that -3*s**5 - 9*s**4 + 24*s**3 + 36*s**2 - 48*s = 0.
-4, -2, 0, 1, 2
Factor -5*u**2 + 55*u.
-5*u*(u - 11)
Solve 4032*l**4 - 480*l**3 + 100*l**2/7 = 0.
0, 5/84
Factor t**2/4 + 15*t/2 + 81/4.
(t + 3)*(t + 27)/4
Let -68*c**2 - 1488*c + 176 = 0. What is c?
-22, 2/17
Let 3*z**4 - 162*z**3 + 2487*z**2 - 8100*z + 7500 = 0. What is z?
2, 25
Determine n, given that -n**4/4 - 3*n**3 + n**2 + 12*n = 0.
-12, -2, 0, 2
Solve -9*v**3/5 + 21*v**2/5 + 108*v/5 + 12 = 0 for v.
-2, -2/3, 5
Determine z so that 6*z**2/7 + 3*z - 12/7 = 0.
-4, 1/2
Let p**5/2 - 5*p**4/2 - 12*p**3 - 2*p**2 + 16*p = 0. What is p?
-2, 0, 1, 8
Determine q so that q**5/3 - q**4/3 - 101*q**3 - 765*q**2 - 1134*q = 0.
-9, -2, 0, 21
Factor -4*s**3 + 6768*s**2 - 3817152*s + 717624576.
-4*(s - 564)**3
Factor g**2/3 + 14*g + 80/3.
(g + 2)*(g + 40)/3
Factor -3*o**4 - 30*o**3 + 9*o**2 + 96*o + 60.
-3*(o - 2)*(o + 1)**2*(o + 10)
Determine p, given that p**4/6 + 3*p**3 + 59*p**2/6 + 7*p = 0.
-14, -3, -1, 0
Solve -20*x**4 - 96*x**3 + 60*x**2 + 472*x - 96 = 0 for x.
-4, -3, 1/5, 2
Factor -3*g**3 + 813*g**2 - 54672*g - 55488.
-3*(g - 136)**2*(g + 1)
Factor -5*p**3 + 635*p**2 + 5320*p + 10800.
-5*(p - 135)*(p + 4)**2
Factor -4*l**2 + 64.
-4*(l - 4)*(l + 4)
Solve 3*p**5 - 18*p**4 - 21*p**3 = 0.
-1, 0, 7
Factor -m**3/3 + 190*m**2/3 - 377*m/3 + 188/3.
-(m - 188)*(m - 1)**2/3
Factor 25*u**2 + 2015*u - 810.
5*(u + 81)*(5*u - 2)
Find t such that 13*t**2 + 63*t - 10 = 0.
-5, 2/13
Suppose 2*f**2/5 + 22*f/5 + 36/5 = 0. What is f?
-9, -2
What is j in 2*j**4 - 23*j**3 + 64*j**2 - 67*j + 24 = 0?
1, 3/2, 8
Factor -3*w**2 - 207*w - 204.
-3*(w + 1)*(w + 68)
Factor 2*m**3/7 + 156*m**2/7 + 582*m/7 - 740/7.
2*(m - 1)*(m + 5)*(m + 74)/7
Find f such that -f**2/5 - 6*f/5 - 9/5 = 0.
-3
Find o, given that -o**3 + 35*o**2 + 1417*o + 10309 = 0.
-13, 61
Factor 2*x**4/7 + 74*x**3/7 + 144*x**2 + 6016*x/7 + 13312/7.
2*(x + 8)**3*(x + 13)/7
Find q, given that 5*q**3 - 14745*q**2 + 14494335*q - 4749310435 = 0.
983
Factor -2*i**3 - 28*i**2 - 22*i + 52.
-2*(i - 1)*(i + 2)*(i + 13)
What is n in -2*n**3 + 6*n**2 - 4*n = 0?
0, 1, 2
Factor h**5/2 - h**4/2 - 7*h**3/2 + 13*h**2/2 - 3*h.
h*(h - 2)*(h - 1)**2*(h + 3)/2
Suppose -2*b**5/15 + 46*b**4/15 - 94*b**3/5 + 74*b**2/3 + 140*b/3 = 0. Calculate b.
-1, 0, 5, 14
Factor -o**3 + 42*o**2 - 431*o + 390.
-(o - 26)*(o - 15)*(o - 1)
Factor k**2/6 + 3*k + 16/3.
(k + 2)*(k + 16)/6
Solve -2498*o**3/15 + 4162*o**2/5 + 15008*o/15 + 8/5 = 0 for o.
-1, -2/1249, 6
Factor 4*y**3/11 + 26*y**2/11 - 86*y/11 + 36/11.
2*(y - 2)*(y + 9)*(2*y - 1)/11
What is g in -18*g**5 - 104*g**4 - 192*g**3 - 132*g**2 - 14*g + 12 = 0?
-3, -1, 2/9
Determine t, given that -2*t**4 + 106*t**3 - 86*t**2 - 954*t + 936 = 0.
-3, 1, 3, 52
Let -3*j**5/7 + 12*j**4/7 + 9*j**3/7 - 54*j**2/7 = 0. What is j?
-2, 0, 3
Solve -2*a**5/7 - 6*a**4/7 + 44*a**3/7 + 12*a**2 - 234*a/7 - 270/7 = 0 for a.
-5, -3, -1, 3
Factor -2*u**3/9 - 10*u**2/3 + 32*u/9.
-2*u*(u - 1)*(u + 16)/9
Let 5*w**2 + 3855*w + 3850 = 0. What is w?
-770, -1
Suppose 12*l**3/5 + 40*l**2 - 284*l/5 + 72/5 = 0. Calculate l.
-18, 1/3, 1
Factor 3*t**3 - 42*t**2 + 72*t.
3*t*(t - 12)*(t - 2)
Solve -2*b**4/13 - 2*b**3/13 + 4*b**2/13 = 0.
-2, 0, 1
Let -3*i**5/2 - 33*i**4/2 - 99*i**3/2 - 111*i**2/2 - 21*i = 0. Calculate i.
-7, -2, -1, 0
Find t, given that -3*t**5/2 + 15*t**4 + 57*t**3/2 - 114*t**2 - 198*t = 0.
-2, 0, 3, 11
Factor -y**2/9 - 109*y - 980/9.
-(y + 1)*(y + 980)/9
Solve -9*n**5/2 - 321*n**4/2 + 123*n**3/2 + 537*n**2/2 - 57*n - 108 = 0.
-36, -1, -2/3, 1
Factor u**2/2 + u.
u*(u + 2)/2
Factor -m**2 - 88*m.
-m*(m + 88)
Factor -o**4 + 68*o**3 - 261*o**2 + 322*o - 128.
-(o - 64)*(o - 2)*(o - 1)**2
Suppose 3*k**3 + 462*k**2 + 1365*k + 906 = 0. What is k?
-151, -2, -1
Factor -2*v**2 - 2024*v.
-2*v*(v + 1012)
Factor 2*z**3/9 + 10*z**2/9 + 16*z/9 + 8/9.
2*(z + 1)*(z + 2)**2/9
Determine b, given that 20*b**3 - 95*b**2 + 95*b + 30 = 0.
-1/4, 2, 3
Factor n**2 - 1753*n.
n*(n - 1753)
Solve -2*o**3/3 + 4*o**2/3 + 14*o/3 + 8/3 = 0 for o.
-1, 4
Let -4*i**5 - 28*i**4 - 36*i**3 + 92*i**2 + 200*i + 96 = 0. Calculate i.
-4, -3, -1, 2
Determine j, given that -j**2/4 - 77*j/2 - 745/4 = 0.
-149, -5
Factor 5*u**2/4 - 75*u/4 - 95.
5*(u - 19)*(u + 4)/4
Factor u**3/2 - 27*u**2/2 + 135*u/2 - 189/2.
(u - 21)*(u - 3)**2/2
What is m in -2*m**5/3 - 4*m**4/3 + 2*m**3 = 0?
-3, 0, 1
Factor -2*f**2/9 + 352*f - 139392.
-2*(f - 792)**2/9
Suppose 2*b**2/3 + 12*b + 34/3 = 0. What is b?
-17, -1
Factor -5*x**2 + 170*x + 2760.
-5*(x - 46)*(x + 12)
Suppose -3*b**2 - 15*b + 18 = 0. Calculate b.
-6, 1
Let -25*r**4 - 790*r**3 - 3980*r**2 + 13720*r - 4800 = 0. Calculate r.
-24, -10, 2/5, 2
Find q, given that -q**4/2 - q**3 - q**2/2 = 0.
-1, 0
Let d**2/3 + 11*d + 30 = 0. Calculate d.
-30, -3
Suppose 4*q**5/5 + 74*q**4/5 + 216*q**3/5 + 74*q**2/5 - 248*q/5 - 24 = 0. Calculate q.
-15, -2, -1/2, 1
Solve 12*k**5/5 + 59*k**4/5 - 86*k**3/5 - 41*k**2/5 + 44*k/5 + 12/5 = 0.
-6, -2/3, -1/4, 1
Factor 3*t**3/4 - 20385*t**2/4 + 46172025*t/4 - 34859878875/4.
3*(t - 2265)**3/4
Factor -6*z**2 + 21*z - 9.
-3*(z - 3)*(2*z - 1)
Suppose 4*l**3/3 + 8668*l**2/3 + 1566740*l + 1563852 = 0. Calculate l.
-1083, -1
Factor -n**2/6 + 7*n/3 - 49/6.
-(n - 7)**2/6
Solve -2*x**2 + 446*x = 0.
0, 223
Factor 25*f**2/7 - 60*f/7 + 36/7.
(5*f - 6)**2/7
Find w such that -3*w**2/2 + 1725*w/2 - 1719 = 0.
2, 573
Factor 2*x**2/3 - 5840*x/3 - 3896.
2*(x - 2922)*(x + 2)/3
Factor -25*p**4 - 305*p**3 - 60*p**2.
-5*p**2*(p + 12)*(5*p + 1)
Determine k so that 14*k**5/5 - 248*k**4/5 + 54*k**3/5 + 9108*k**2/5 + 20736*k/5 + 5184/5 = 0.
-3, -2/7, 12
Determine b, given that b**5/4 + b**4/4 - 7*b**3/4 - 13*b**2/4 - 3*b/2 = 0.
-2, -1, 0, 3
Suppose -c**5 + 4*c**4 - 6*c**3 + 4*c**2 - c = 0. What is c?
0, 1
Factor x**2/4 - 2*x - 5.
(x - 10)*(x + 2)/4
Determine k, given that -k**2/3 + 134*k/3 - 133/3 = 0.
1, 133
Factor m**3/4 - 11*m**2 + 155*m/4 + 50.
(m - 40)*(m - 5)*(m + 1)/4
Solve -2*o**2 + 4362*o - 4360 = 0.
1, 2180
Solve -4*z**4 - 396*z**3 - 1536*z**2 - 1520*z = 0 for z.
-95, -2, 0
Determine h, given that -5*h**5 + 30*h**4 + 495*h**3 - 520*h**2 = 0.
-8, 0, 1, 13
Suppose 2*r**4/7 + 10*r**3/7 + 10*r**2/7 - 10*r/7 - 12/7 = 0. What is r?
-3, -2, -1, 1
Suppose c**2 - 22*c + 21 = 0. What is c?
1, 21
Find z, given that -8*z**3 + 6*z**2 = 0.
0, 3/4
Suppose u**5 - 7*u**4 + 15*u**3 - 9*u**2 =