 84*o**4 + 636*o**3 + 960*o**2 = 0.
-16, -10, -2, 0
Suppose -4*b**3/5 + 1552*b**2/5 - 152084*b/5 + 297992/5 = 0. What is b?
2, 193
Suppose 5*y**2 - 530*y - 535 = 0. What is y?
-1, 107
Factor -3*f**2/5 - 87*f/5 + 18.
-3*(f - 1)*(f + 30)/5
Factor c**3/2 + 27*c**2/2 - 61*c/2 - 87/2.
(c - 3)*(c + 1)*(c + 29)/2
Factor -c**2/2 + 108*c.
-c*(c - 216)/2
Find a such that a**5/5 + 44*a**4/5 - 477*a**3/5 = 0.
-53, 0, 9
Factor 3*w**2/7 - 1797*w/7.
3*w*(w - 599)/7
Factor -3*y**2 - 17*y/2 - 5.
-(y + 2)*(6*y + 5)/2
What is l in 48*l**4 + 304*l**3 + 308*l**2 - 60*l = 0?
-5, -3/2, 0, 1/6
Solve 3*w**3 + 36*w**2 + 63*w - 294 = 0 for w.
-7, 2
Factor 2*x**2 - 110*x - 112.
2*(x - 56)*(x + 1)
Factor q**2/4 + 13*q/2 + 169/4.
(q + 13)**2/4
Find i, given that -2*i**4 + 8*i**3 + 152*i**2 + 448*i + 384 = 0.
-4, -2, 12
Suppose -2*s**5 - 8*s**4 + 4*s**3 + 24*s**2 - 18*s = 0. What is s?
-3, 0, 1
Factor -5*m**3 + 210*m**2 - 400*m.
-5*m*(m - 40)*(m - 2)
Solve 2883*n**5/2 - 3162*n**4 + 1143*n**3/2 - 27*n**2 = 0 for n.
0, 3/31, 2
Let -4*y**5/3 - 16*y**4/3 + 208*y**3/3 - 320*y**2/3 = 0. Calculate y.
-10, 0, 2, 4
Factor z**2/5 - 849*z/5 + 1694/5.
(z - 847)*(z - 2)/5
What is t in 5*t**4 + 40*t**3 - 520*t**2 - 2400*t + 18000 = 0?
-10, 6
Solve -3*o**2/8 + 57*o/8 + 63/4 = 0.
-2, 21
Factor 3*d**2/4 + 21*d + 72.
3*(d + 4)*(d + 24)/4
Factor -k**2/2 - 9*k/2 - 7.
-(k + 2)*(k + 7)/2
Solve -4*s**5/5 - 44*s**4/5 - 156*s**3/5 - 244*s**2/5 - 176*s/5 - 48/5 = 0 for s.
-6, -2, -1
Suppose -4*r**5 + 32*r**3 + 24*r**2 - 28*r - 24 = 0. Calculate r.
-2, -1, 1, 3
Let x**5/9 - 2*x**4/9 - 2*x**3/9 + 8*x**2/9 - 7*x/9 + 2/9 = 0. What is x?
-2, 1
Find h such that -5*h**3/6 + 1195*h**2/6 + 5605*h/3 - 6200/3 = 0.
-10, 1, 248
Factor -4*w**2 - 340*w - 5200.
-4*(w + 20)*(w + 65)
Let 2*i**4/13 + 88*i**3/13 + 166*i**2/13 - 88*i/13 - 168/13 = 0. Calculate i.
-42, -2, -1, 1
Find h such that -2*h**2/3 + 10*h/3 - 4 = 0.
2, 3
Factor 2*c**4/5 - 101*c**3/5 + 29*c**2 + 98*c/5.
c*(c - 49)*(c - 2)*(2*c + 1)/5
Factor 2*g**3/5 + 74*g**2/5 + 204*g/5.
2*g*(g + 3)*(g + 34)/5
Factor -2*w**3 + 128*w**2 - 1464*w - 3456.
-2*(w - 48)*(w - 18)*(w + 2)
Determine b so that -2*b**3/17 + 18*b/17 = 0.
-3, 0, 3
What is t in -4*t**4/7 - 32*t**3/7 - 64*t**2/7 = 0?
-4, 0
Factor 13*s**3/2 - 171*s**2/2 + 91*s - 12.
(s - 12)*(s - 1)*(13*s - 2)/2
Solve -o**4/2 - 25*o**3/2 + 81*o**2/2 - 83*o/2 + 14 = 0.
-28, 1
Suppose 2*o**4/3 + 164*o**3 + 13448*o**2 + 1102736*o/3 = 0. What is o?
-82, 0
Factor -630*x**2 + 4*x.
-2*x*(315*x - 2)
Factor 4*b**2 + 232*b - 236.
4*(b - 1)*(b + 59)
What is w in 2*w**5/5 - 42*w**4/5 + 142*w**3/5 - 94*w**2/5 - 144*w/5 + 136/5 = 0?
-1, 1, 2, 17
Factor 4*z**3 + 24*z**2 - 144*z + 160.
4*(z - 2)**2*(z + 10)
Determine u so that -5*u**4 + 240*u**3 - 320*u**2 - 61440*u - 327680 = 0.
-8, 32
Suppose -r**3/4 + 51*r**2/2 - 479*r/4 - 291/2 = 0. What is r?
-1, 6, 97
Let 2*u**3 - 68*u**2 + 318*u + 1620 = 0. Calculate u.
-3, 10, 27
Determine i, given that -4*i**5 - 3*i**4 + 13*i**3 + i**2 - 9*i + 2 = 0.
-2, -1, 1/4, 1
Factor f**2/5 - 4/5.
(f - 2)*(f + 2)/5
Factor h**4/3 + 10*h**3/3 + 28*h**2/3 + 8*h.
h*(h + 2)**2*(h + 6)/3
What is h in 3*h**3/4 + 735*h**2/4 - 1479*h/4 + 741/4 = 0?
-247, 1
Factor 5*d**3 - 260*d**2 + 3380*d.
5*d*(d - 26)**2
Suppose -58*q**5/9 - 110*q**4/9 + 4*q**3/3 + 116*q**2/9 + 46*q/9 - 2/3 = 0. Calculate q.
-1, 3/29, 1
Factor -4*k**3 + 256*k**2 - 1856*k + 3584.
-4*(k - 56)*(k - 4)**2
Factor -g**3 + 16*g**2 + 377*g.
-g*(g - 29)*(g + 13)
Suppose 2*l**4/9 + 62*l**3/9 + 578*l**2/9 + 446*l/3 - 220 = 0. What is l?
-15, -11, -6, 1
Find c, given that -3468*c**3 + 274584*c**2 - 48375*c + 2133 = 0.
3/34, 79
Suppose 2*c**3/7 - 4*c**2/7 - 6*c/7 = 0. What is c?
-1, 0, 3
Solve 2*x**5/23 + 18*x**4/23 + 30*x**3/23 + 14*x**2/23 = 0 for x.
-7, -1, 0
Factor g**5/5 + g**4 + 4*g**3/5 - 16*g**2/5 - 32*g/5 - 16/5.
(g - 2)*(g + 1)*(g + 2)**3/5
Let -3*b**4/4 + 2277*b**3/4 - 217731*b**2/2 + 322623*b - 214326 = 0. What is b?
1, 2, 378
Suppose 2*q**3/7 - 1832*q**2/7 + 419528*q/7 = 0. Calculate q.
0, 458
Determine f, given that f**3/8 + 7*f**2/8 + 2*f + 3/2 = 0.
-3, -2
Find v such that -v**5 + 2*v**4 + 5*v**3 - 6*v**2 = 0.
-2, 0, 1, 3
Let -18*i**5 + 40*i**4 + 118*i**3 + 44*i**2 - 16*i = 0. Calculate i.
-1, 0, 2/9, 4
Factor -6*m**2 + 2805*m + 4221.
-3*(m - 469)*(2*m + 3)
Suppose 12*u**5 + 39*u**4 - 3*u**3 - 39*u**2 - 9*u = 0. What is u?
-3, -1, -1/4, 0, 1
Solve -s**3/2 - 16*s**2 - 341*s/2 - 605 = 0.
-11, -10
Suppose -4*f**4/5 - 4*f**3/5 + 192*f**2/5 + 688*f/5 + 128 = 0. What is f?
-5, -2, 8
Factor -5*v**4/4 + 5*v**3/4 + 45*v**2/4 + 55*v/4 + 5.
-5*(v - 4)*(v + 1)**3/4
Let 2*y**2/11 + 28*y/11 + 6 = 0. Calculate y.
-11, -3
Factor -2*q**4 + 40*q**3 - 38*q**2.
-2*q**2*(q - 19)*(q - 1)
Factor -794*k**2 - 4*k.
-2*k*(397*k + 2)
Determine c so that c**3/6 + 409*c**2/6 + 68*c = 0.
-408, -1, 0
Let -2*k**3 + 342*k**2 - 1344*k + 1336 = 0. Calculate k.
2, 167
Determine f, given that 5*f**4 + 65*f**3 + 195*f**2 - 65*f - 200 = 0.
-8, -5, -1, 1
Find c, given that 5*c**2/7 + 92*c/7 + 36/7 = 0.
-18, -2/5
Determine q, given that -q**2/7 + 68*q/7 - 1156/7 = 0.
34
Solve 3*p**4 - 66*p**3 + 180*p**2 + 4200*p - 24000 = 0 for p.
-8, 10
Factor -h**2/12 - 409*h/4.
-h*(h + 1227)/12
Factor -p**5 + p**3.
-p**3*(p - 1)*(p + 1)
Determine m, given that -196*m**5 - 476*m**4 - 72*m**3 + 176*m**2 - 32*m = 0.
-2, -1, 0, 2/7
Let 2*p**3/3 + 146*p**2/3 + 912*p + 864 = 0. What is p?
-36, -1
Suppose 4*y**4/5 + 88*y**3/5 + 144*y**2/5 - 352*y/5 - 128 = 0. What is y?
-20, -2, 2
Factor q**2/3 - 8*q/3 + 7/3.
(q - 7)*(q - 1)/3
Solve -18*i**4/7 - i**3/7 + 31*i**2/7 - 12*i/7 = 0.
-3/2, 0, 4/9, 1
Factor -1815*w**3 + 5313*w**2 + 1968*w/5 + 36/5.
-3*(w - 3)*(55*w + 2)**2/5
Solve -2*v**3 - 350*v**2 - 14774*v + 47526 = 0.
-89, 3
Factor 3*m**2 + 78*m + 432.
3*(m + 8)*(m + 18)
Suppose -2*r**5 - 66*r**4 - 378*r**3 + 586*r**2 + 900*r = 0. Calculate r.
-25, -9, -1, 0, 2
Find d such that 2*d**2 - 62*d + 216 = 0.
4, 27
Factor -r**3/2 + 817*r**2/2 + 1637*r/2 + 819/2.
-(r - 819)*(r + 1)**2/2
Factor 2*h**3/3 + 1178*h**2/3 + 172870*h/3 - 174050/3.
2*(h - 1)*(h + 295)**2/3
Factor 2*u**4/3 - 92*u**3/3 + 382*u**2 - 2024*u/3 + 968/3.
2*(u - 22)**2*(u - 1)**2/3
Determine b, given that 4*b**2/3 + 56*b/3 + 60 = 0.
-9, -5
Factor -4*g**3 + 72*g**2 + 400*g - 1056.
-4*(g - 22)*(g - 2)*(g + 6)
Factor -2*t**3/7 - 6*t**2/7 - 4*t/7.
-2*t*(t + 1)*(t + 2)/7
Factor -5*w**2 + 20*w + 105.
-5*(w - 7)*(w + 3)
Solve u**2 + 25*u + 46 = 0.
-23, -2
Factor -2*x**3 - 574*x**2 - 1142*x - 570.
-2*(x + 1)**2*(x + 285)
Factor -15*g**3 + 5*g**2 + 40*g + 20.
-5*(g - 2)*(g + 1)*(3*g + 2)
Find s such that 5*s**3 + 245*s**2 + 840*s - 2700 = 0.
-45, -6, 2
Determine w so that 12*w**4 + 4004*w**3 + 446220*w**2 + 16707276*w + 10941048 = 0.
-111, -2/3
Suppose -2*x**3/7 - 6*x**2 + 2*x/7 + 6 = 0. Calculate x.
-21, -1, 1
Solve -2*u**2/9 + 20*u + 950/9 = 0 for u.
-5, 95
Factor h**3/5 - 71*h**2/5 + 122*h.
h*(h - 61)*(h - 10)/5
Find q, given that 5*q**5 - 20*q**4 + 20*q**3 + 10*q**2 - 25*q + 10 = 0.
-1, 1, 2
Factor -55*p**3 - 10*p**2.
-5*p**2*(11*p + 2)
Factor 2*z**3/13 - 40*z**2/13 + 154*z/13 + 484/13.
2*(z - 11)**2*(z + 2)/13
Determine c so that -c**3/8 - 2*c**2 + 127*c/8 - 55/4 = 0.
-22, 1, 5
Find w such that 2*w**2/19 - 40*w/19 + 2 = 0.
1, 19
Solve 24*f**5 + 357*f**4 - 1269*f**3 + 1425*f**2 - 591*f + 54 = 0.
-18, 1/8, 1
Determine v, given that 704*v**5 + 15712*v**4 + 90092*v**3 + 26656*v**2 - 2596*v - 968 = 0.
-11, -1/4, 2/11
Suppose -3*g**5/7 - 12*g**4/7 - 3*g**3/7 + 18*g**2/7 = 0. What is g?
-3, -2, 0, 1
Determine x, given that 6*x**4 - 118*x**3/13 + 32*x**2/13 + 8*x/13 = 0.
-2/13, 0, 2/3, 1
Factor 2*d**2 + 136*d + 2312.
2*(d + 34)**2
Let -3*q**2 - 14277*q = 0. What is q?
-4759, 0
Factor -5*d**3 + 50*d**2 + 1385*d - 1430.
-5*(d - 22)*(d - 1)*(d + 13)
Let -7*n**4 + 79*n**3 + 377*n**2 + 201*n - 90 = 0. Calculate n.
-3, -1, 2/7, 15
Solve 5*o**3 - 45*o**2 + 40*o + 300 = 0.
-2, 5, 6
Let 3*t**5/5 + 21*t**4/5 + 18*t**3/5 - 66*t**2/5 - 21*t/5 + 9 = 0. What is t?
-5, -3, -1, 1
Find u, given that -u**5 - u**4 + 6*u**3 + 4*u**2 - 8*u = 0.
-2, 0, 1, 2
Factor -2*i**2/7 + 748*i/7 - 69938/7.
-2*(i - 187)**2/7
Find p such that 21*p**5 + 972*p**4 + 15165*p**3 + 91194*p**2 + 194940*p + 48600 = 0.
-18, -5, -2/7
Factor s**3 + 434*s**2 + 1724*s + 1720.
(s + 2)**2*(s + 430)