rmine n, given that -12*n**4 + 70*n**3 - 44*n**2 - 34*n + 20 = 0.
-2/3, 1/2, 1, 5
Factor -4*l**3 - 96*l**2 + 100*l.
-4*l*(l - 1)*(l + 25)
Factor 3*u**2 - 96*u - 99.
3*(u - 33)*(u + 1)
Factor -165*h**2 + 477*h - 312.
-3*(h - 1)*(55*h - 104)
Let 2*g**5 + 2*g**4 - 4*g**3 - 4*g**2 + 2*g + 2 = 0. Calculate g.
-1, 1
Factor 12*n**2 + 2900*n + 1928.
4*(n + 241)*(3*n + 2)
Factor -y**2/3 - 5168*y/3 - 6677056/3.
-(y + 2584)**2/3
Solve -4*j**2 + 484*j - 480 = 0 for j.
1, 120
Factor 9*k**3 - 1816*k**2 - 4076*k - 816.
(k - 204)*(k + 2)*(9*k + 2)
Factor z**3/2 + z**2/2 - 5*z/2 + 3/2.
(z - 1)**2*(z + 3)/2
Suppose -3*k**4/7 + 39*k**3/7 - 24*k**2 + 240*k/7 = 0. What is k?
0, 4, 5
Factor n**3 + 15*n**2 + 72*n + 108.
(n + 3)*(n + 6)**2
Let -1703025*g**2 - 5220*g - 4 = 0. What is g?
-2/1305
Solve -12*p**3 - 208*p**2 - 60*p + 136 = 0 for p.
-17, -1, 2/3
Suppose -i**3/4 + 9*i**2/4 - 9*i/2 = 0. Calculate i.
0, 3, 6
Factor -w**4/2 + 13*w**3/2 - 23*w**2/2 + 11*w/2.
-w*(w - 11)*(w - 1)**2/2
Factor 2*o**4 + 8*o**3 - 32*o**2 - 32*o + 96.
2*(o - 2)**2*(o + 2)*(o + 6)
Factor 2*k**2/3 - 430*k/3 + 284.
2*(k - 213)*(k - 2)/3
Find i, given that 5*i**4 + 3295*i**3 - 29925*i**2 + 90045*i - 90180 = 0.
-668, 3
Let 324*x**4 + 8604*x**3 + 19456*x**2 - 9936*x + 1152 = 0. What is x?
-24, -3, 2/9
Find c such that 245*c**5 - 210*c**4 - 45*c**3 + 10*c**2 = 0.
-2/7, 0, 1/7, 1
Suppose n**4 + 161*n**3 - 163*n**2 - 161*n + 162 = 0. Calculate n.
-162, -1, 1
Solve w**5/6 - 7*w**4/6 - 3*w**3 - w**2/3 + 17*w/6 + 3/2 = 0.
-1, 1, 9
Suppose 5*k**5/3 + 6*k**4 - k**3 - 32*k**2/3 + 4*k = 0. What is k?
-3, -2, 0, 2/5, 1
Factor 2*n**2 + 294*n/5 + 116/5.
2*(n + 29)*(5*n + 2)/5
Suppose -3*n**5/5 - 24*n**4/5 + 9*n**3/5 + 66*n**2/5 - 48*n/5 = 0. Calculate n.
-8, -2, 0, 1
Factor -4*u**3 + 4*u**2 + 64*u + 80.
-4*(u - 5)*(u + 2)**2
Determine i so that 4*i**3 + 1392*i**2 + 121104*i = 0.
-174, 0
Factor 3*q**5 - 9*q**4 + 6*q**3.
3*q**3*(q - 2)*(q - 1)
Factor 18*q**5 + 16*q**4 - 56*q**3 - 84*q**2 - 26*q + 4.
2*(q - 2)*(q + 1)**3*(9*q - 1)
Let 5*x**3 + 4120*x**2 - 8255*x + 4130 = 0. Calculate x.
-826, 1
Determine z, given that z**5/2 - 493*z**4/2 - 495*z**3/2 + 493*z**2/2 + 247*z = 0.
-1, 0, 1, 494
Suppose -50*u**2 - 5660*u - 160178 = 0. Calculate u.
-283/5
Factor -s**2/5 + 807*s/5 - 806/5.
-(s - 806)*(s - 1)/5
Factor -3*y**5 - 231*y**4 - 894*y**3 - 1326*y**2 - 879*y - 219.
-3*(y + 1)**4*(y + 73)
Suppose 10*o**5/3 + 12*o**4 - 176*o**3/3 - 32*o**2 + 544*o/3 - 64 = 0. Calculate o.
-6, -2, 2/5, 2
What is y in 4*y**4 + 28*y**3 - 12*y**2 - 220*y + 200 = 0?
-5, 1, 2
Factor u**2/3 + 16*u/3 - 12.
(u - 2)*(u + 18)/3
Solve -3*q**5 + 1203*q**4 + 6*q**3 - 2406*q**2 - 3*q + 1203 = 0.
-1, 1, 401
Find c, given that 3*c**2/5 - 177*c/5 = 0.
0, 59
Factor -2*x**3/9 - 1450*x**2/9.
-2*x**2*(x + 725)/9
Suppose -25*a**4/6 + 595*a**3/3 - 2945*a**2/6 + 440*a/3 + 150 = 0. What is a?
-2/5, 1, 2, 45
Factor -4*x**4 - 128*x**3 - 468*x**2 - 568*x - 224.
-4*(x + 1)**2*(x + 2)*(x + 28)
Suppose 2*x**4/11 - 78*x**3/11 + 1014*x**2/11 - 4394*x/11 = 0. Calculate x.
0, 13
Factor -y**4/3 - 38*y**3 - 3469*y**2/3 - 4180*y - 12100/3.
-(y + 2)**2*(y + 55)**2/3
Factor -2*g**5/7 - 40*g**4/7 + 6*g**3.
-2*g**3*(g - 1)*(g + 21)/7
Suppose w**5/7 - 8*w**4/7 - 43*w**3/7 - 58*w**2/7 - 24*w/7 = 0. Calculate w.
-2, -1, 0, 12
Factor 3*i**2 + 3*i - 6.
3*(i - 1)*(i + 2)
Factor d**5 + 152*d**4 - 462*d**3 + 464*d**2 - 155*d.
d*(d - 1)**3*(d + 155)
Factor f**4/7 + 6*f**3 + 193*f**2/7 + 300*f/7 + 148/7.
(f + 1)*(f + 2)**2*(f + 37)/7
Determine w, given that 2*w**5/13 - 176*w**4/13 + 172*w**3/13 + 176*w**2/13 - 174*w/13 = 0.
-1, 0, 1, 87
Solve -2*n**5/9 + 26*n**4/3 - 358*n**3/9 + 626*n**2/9 - 160*n/3 + 136/9 = 0 for n.
1, 2, 34
Let -28*g**5/3 - 134*g**4/3 + 254*g**3/3 + 96*g**2 - 24*g = 0. What is g?
-6, -1, 0, 3/14, 2
Suppose 7*p**4 + 26*p**3 - 141*p**2 + 136*p - 28 = 0. Calculate p.
-7, 2/7, 1, 2
Factor -112*k**2 - 148*k - 48.
-4*(4*k + 3)*(7*k + 4)
Solve -4*c**2 + 10416*c - 10412 = 0.
1, 2603
Factor 5*v**4 - 10*v**3 - 15*v**2 + 20*v + 20.
5*(v - 2)**2*(v + 1)**2
What is z in -2*z**4/13 - 2*z**3/13 + 2*z**2/13 + 2*z/13 = 0?
-1, 0, 1
Let 4*q**2/3 + 428*q = 0. What is q?
-321, 0
Factor 3*a**3 + 26*a**2 + 37*a + 14.
(a + 1)*(a + 7)*(3*a + 2)
Factor -5*k**5 + 50*k**3 + 100*k**2 + 75*k + 20.
-5*(k - 4)*(k + 1)**4
Determine d so that -7*d**4/6 + 905*d**3/6 + 523*d**2/2 + 395*d/6 - 131/3 = 0.
-1, 2/7, 131
Suppose 3*o**3 - 201*o**2 - 6747*o - 47151 = 0. What is o?
-13, 93
Suppose 4*n**2 - 1432*n = 0. What is n?
0, 358
Factor 21*x**5 + 435*x**4 - 126*x**3.
3*x**3*(x + 21)*(7*x - 2)
Factor 3*n**3/7 - 122*n**2/7 + 79*n/7 + 40/7.
(n - 40)*(n - 1)*(3*n + 1)/7
Factor 3*m**3/2 - 189*m**2.
3*m**2*(m - 126)/2
Factor -2*u**3/5 - 666*u**2/5 - 73926*u/5 - 2735262/5.
-2*(u + 111)**3/5
Suppose f**3/7 - 36*f**2/7 - 157*f/7 - 120/7 = 0. What is f?
-3, -1, 40
Determine f so that 2*f**3/15 + 28*f**2/15 + 22*f/3 + 28/5 = 0.
-7, -6, -1
Factor -14*l**3/3 + 21368*l**2/3 - 8156470*l/3 + 2328676/3.
-2*(l - 763)**2*(7*l - 2)/3
Suppose 2*b**2/15 + 14*b/15 - 104/3 = 0. Calculate b.
-20, 13
Suppose y**5/4 + 618*y**4 + 765083*y**3/2 + 763230*y**2 + 1525225*y/4 = 0. Calculate y.
-1235, -1, 0
Factor 4*o**2 - 104*o + 100.
4*(o - 25)*(o - 1)
Determine l, given that -l**5/2 - 25*l**4 - 573*l**3/2 + 650*l**2 - 338*l = 0.
-26, 0, 1
Suppose 4*v**2 + 1068*v + 1064 = 0. What is v?
-266, -1
Let -2*c**5/11 + 40*c**4/11 - 90*c**3/11 - 260*c**2/11 + 1000*c/11 - 816/11 = 0. Calculate c.
-3, 2, 17
Let 16*c**3 - 44*c**2 - 300*c - 72 = 0. Calculate c.
-3, -1/4, 6
Factor 4*x**3 + 496*x**2 + 964*x - 1464.
4*(x - 1)*(x + 3)*(x + 122)
Determine l, given that -l**5/4 - l**4/4 + 13*l**3/4 + l**2/4 - 12*l + 9 = 0.
-3, 1, 2
Let 2*m**4/5 - 14*m**3 - 146*m**2/5 - 74*m/5 = 0. What is m?
-1, 0, 37
Factor q**5/4 - 5*q**4/4 + q**3 + 4*q**2 - 8*q + 4.
(q - 2)**3*(q - 1)*(q + 2)/4
Factor 6*y**3/5 - 582*y**2/5 + 18618*y/5 - 196794/5.
6*(y - 39)*(y - 29)**2/5
Factor -5*p**4/3 + 13*p**3/3 + 2*p**2.
-p**2*(p - 3)*(5*p + 2)/3
Determine l so that 4*l**3 + 48*l**2 + 144*l + 128 = 0.
-8, -2
Let -5*q**5 + 5*q**4 + 65*q**3 - 65*q**2 - 180*q + 180 = 0. Calculate q.
-3, -2, 1, 2, 3
Find s, given that -2*s**5 + 12*s**4 + 4*s**3 - 96*s**2 + 142*s - 60 = 0.
-3, 1, 2, 5
Factor 14*b**4/5 - 2388*b**3/5 + 135432*b**2/5 - 506844*b - 1111158/5.
2*(b - 57)**3*(7*b + 3)/5
Solve -x**2/8 + 166*x - 55112 = 0 for x.
664
Find u such that 20*u**2 - 23715*u - 5930 = 0.
-1/4, 1186
Determine r, given that r**4 + 60*r**3 + 407*r**2 - 468*r = 0.
-52, -9, 0, 1
Determine l, given that 120*l**5 + 355*l**4 - 510*l**3 - 1465*l**2 + 120*l + 180 = 0.
-3, -2, -1/3, 3/8, 2
Let -2*x**4 - 10*x**3 + 48*x**2 - 8*x - 64 = 0. What is x?
-8, -1, 2
Solve -2*g**2/7 + 10660*g/7 - 14204450/7 = 0 for g.
2665
Let -2*t**3/9 - 2*t**2 - 16*t/9 = 0. Calculate t.
-8, -1, 0
Determine s, given that s**3 - 9*s**2 + 23*s - 15 = 0.
1, 3, 5
Let -2*c**3/5 - 4*c**2 - 22*c/5 + 28 = 0. Calculate c.
-7, -5, 2
Determine c, given that -2*c**2/5 + 34*c/5 + 368 = 0.
-23, 40
Find l such that 11*l**3 - 50*l**2 + 57*l - 18 = 0.
6/11, 1, 3
Find p, given that p**3/6 + 7*p**2/2 + 33*p/2 + 45/2 = 0.
-15, -3
Suppose 4*i**3 - 222*i**2 + 3024*i + 1568 = 0. Calculate i.
-1/2, 28
Determine j, given that -5*j**4 + 55*j**3 - 150*j**2 = 0.
0, 5, 6
Factor -2*h**3/17 - 134*h**2/17 + 2*h/17 + 134/17.
-2*(h - 1)*(h + 1)*(h + 67)/17
Let -15*r**3 + 70*r**2 + 860*r - 600 = 0. Calculate r.
-6, 2/3, 10
Suppose 8*w**3/7 - 4838*w**2/7 - 1210*w/7 = 0. What is w?
-1/4, 0, 605
Determine a so that a**2/8 + 25*a/8 + 21/2 = 0.
-21, -4
Determine j, given that -2*j**4/3 - 4088*j**3/3 - 2088968*j**2/3 = 0.
-1022, 0
Solve -5*a**4 - 250*a**3 - 865*a**2 + 2500*a - 1380 = 0 for a.
-46, -6, 1
Let -5*c**4/2 + 27*c**3 - 82*c**2 + 45*c + 25/2 = 0. Calculate c.
-1/5, 1, 5
Find m such that -4*m**2 + 536*m - 1572 = 0.
3, 131
Factor 3*s**4 + 18*s**3 + 36*s**2 + 30*s + 9.
3*(s + 1)**3*(s + 3)
Factor -m**3 - 7*m**2 - 12*m.
-m*(m + 3)*(m + 4)
Solve -2*c**2 - 38*c - 120 = 0 for c.
-15, -4
Let -k**2/4 - 115*k/4 + 117/2 = 0. What is k?
-117, 2
Factor -2*d**3/5 + 28*d**2 - 2584*d/5 + 4624/5.
-2*(d - 34)**2*(d - 2)/5
Suppose -2*g**2 + 106*g + 840 = 0. Calculate g.
-7, 60
Factor -2*n**3 + 1734*n**2 - 501126*n + 48275138.
-2*(n - 289)**3
Find x, given that 2*x**2/7 + 226*