 + 31)**2/9
Let 4*c**5 - 116*c**4 + 108*c**3 + 116*c**2 - 112*c = 0. What is c?
-1, 0, 1, 28
Determine t so that 3*t**4/5 - 141*t**3/5 + 402*t**2/5 - 264*t/5 = 0.
0, 1, 2, 44
Determine c so that -c**3 + 455*c**2 - 2703*c + 4041 = 0.
3, 449
Solve -4*k**3/9 + 52*k/9 - 16/3 = 0 for k.
-4, 1, 3
What is w in -64*w**4/7 - 1760*w**3/7 - 2044*w**2 - 4116*w = 0?
-49/4, -3, 0
Solve 2*v**4/11 - 12*v**3/11 + 2*v**2/11 + 48*v/11 + 32/11 = 0 for v.
-1, 4
Solve -2*m**5/17 + 26*m**4/17 - 84*m**3/17 - 44*m**2/17 + 278*m/17 + 210/17 = 0 for m.
-1, 3, 5, 7
Solve 2025*o**3 + 2385*o**2 + 376*o + 16 = 0 for o.
-1, -4/45
Factor -3*l**3 - 15*l**2 + 24*l + 36.
-3*(l - 2)*(l + 1)*(l + 6)
Factor -2*t**3/3 + 14*t**2/3 - 16*t/3 - 32/3.
-2*(t - 4)**2*(t + 1)/3
Let -m**2 + 55*m + 114 = 0. What is m?
-2, 57
Factor -g**2/6 - 127*g/3 - 16129/6.
-(g + 127)**2/6
Factor -2*w**4/15 - 6*w**3 + 198*w**2/5 - 306*w/5.
-2*w*(w - 3)**2*(w + 51)/15
Factor 3*c**5/4 + 4290*c**4 + 6134700*c**3.
3*c**3*(c + 2860)**2/4
Find v, given that -3*v**3/7 + 57*v**2/7 - 48*v + 576/7 = 0.
3, 8
Suppose a**2 + 8*a - 9 = 0. Calculate a.
-9, 1
Factor u**4/5 + 2*u**3/5 - 3*u**2/5 - 8*u/5 - 4/5.
(u - 2)*(u + 1)**2*(u + 2)/5
Factor -2*y**2/3 + 6020*y/3 - 4530050/3.
-2*(y - 1505)**2/3
Factor 2*s**3 + 6*s**2 + 6*s + 2.
2*(s + 1)**3
Factor 4*j**2 + 184*j + 1332.
4*(j + 9)*(j + 37)
Find j, given that -5*j**4 - 385*j**3 - 380*j**2 = 0.
-76, -1, 0
Find d, given that -4*d**5/3 + 16*d**4/3 - 4*d**3 - 16*d**2/3 + 16*d/3 = 0.
-1, 0, 1, 2
Factor -y**2 + 190*y + 1584.
-(y - 198)*(y + 8)
Solve 2*x**3/7 + 150*x**2/7 + 528*x + 30008/7 = 0.
-31, -22
Factor -5*z**2 + 2370*z - 280845.
-5*(z - 237)**2
Find x such that -6*x**3 + 4064*x**2 - 686814*x - 459684 = 0.
-2/3, 339
Factor -6*k**5/7 + 398*k**4/7 + 268*k**3/7.
-2*k**3*(k - 67)*(3*k + 2)/7
Determine z so that -38*z**5 - 544*z**4 - 2448*z**3 - 3456*z**2 - 864*z = 0.
-6, -2, -6/19, 0
Suppose 4*r**3 - 1344*r**2 + 1340*r = 0. Calculate r.
0, 1, 335
Factor 3*n**2 - 25998*n + 56324667.
3*(n - 4333)**2
Factor -2*v**3/11 - 72*v**2/11 + 2*v/11 + 72/11.
-2*(v - 1)*(v + 1)*(v + 36)/11
Factor -2*m**2 + 50*m.
-2*m*(m - 25)
Factor -z**4 - 22*z**3 - 40*z**2.
-z**2*(z + 2)*(z + 20)
Factor 2*b**3/3 - 186*b**2 + 12880*b + 39200/3.
2*(b - 140)**2*(b + 1)/3
Factor r**3 - 418*r**2/5 + 8652*r/5 + 3528/5.
(r - 42)**2*(5*r + 2)/5
Determine c so that c**5 - 2*c**4 - 3*c**3 + 8*c**2 - 4*c = 0.
-2, 0, 1, 2
Suppose 2*d**5/17 + 8*d**4/17 + 6*d**3/17 - 8*d**2/17 - 8*d/17 = 0. What is d?
-2, -1, 0, 1
Factor 3*d**3/7 - 636*d**2/7 + 33063*d/7 + 68694/7.
3*(d - 107)**2*(d + 2)/7
Factor -8*k**2 + 396*k.
-4*k*(2*k - 99)
Factor -21*c**5 + 65*c**4 - 6*c**3.
-c**3*(c - 3)*(21*c - 2)
Suppose w**3 + 12*w**2 + 48*w + 64 = 0. What is w?
-4
Factor 2*m**4/3 - 8*m**3/3 - 12*m**2 - 40*m/3 - 14/3.
2*(m - 7)*(m + 1)**3/3
Factor -3*f**3/7 + 736*f**2/7 + 1987*f/7 - 744/7.
-(f - 248)*(f + 3)*(3*f - 1)/7
Solve 245*z**3/2 + 273*z**2/2 + 72*z/5 + 2/5 = 0.
-1, -2/35
Find q such that q**3 + 2*q**2 - 63*q = 0.
-9, 0, 7
Suppose j**3/4 + j**2 + j = 0. Calculate j.
-2, 0
Factor 5*m**4 - 10*m**3 + 10*m - 5.
5*(m - 1)**3*(m + 1)
Let 21*f**3/5 + 1548*f**2/5 + 4029*f/5 - 1278/5 = 0. Calculate f.
-71, -3, 2/7
Suppose -k**5/8 + 15*k**4/8 + 27*k**3/4 + k**2/2 - 9*k = 0. Calculate k.
-2, 0, 1, 18
Factor 2*d**4 - 36*d**3 - 40*d**2 + 36*d + 38.
2*(d - 19)*(d - 1)*(d + 1)**2
Let 3*m**5 + 290*m**4/3 - 557*m**3/3 - 142*m**2 + 548*m/3 + 136/3 = 0. What is m?
-34, -1, -2/9, 1, 2
Factor 6*j**4 + 148*j**3 + 1248*j**2 + 3840*j + 2048.
2*(j + 8)**3*(3*j + 2)
Find p, given that 2*p**2 + 146*p - 148 = 0.
-74, 1
Factor -g**5 + g**4 + g**3 - g**2.
-g**2*(g - 1)**2*(g + 1)
What is m in 18*m**4/5 + 312*m**3/5 + 1244*m**2/5 - 936*m/5 + 162/5 = 0?
-9, 1/3
Solve q**2 - 13*q - 338 = 0.
-13, 26
Solve -3*u**4/2 + 54*u**3 + 654*u**2 + 1656*u = 0 for u.
-6, -4, 0, 46
Let -182*q**3 + 2532*q**2/7 - 1242*q/7 - 16/7 = 0. What is q?
-8/637, 1
Factor -8*a**4 + 18*a**3 + 20*a**2 - 6*a.
-2*a*(a - 3)*(a + 1)*(4*a - 1)
Find w such that 27*w**5 - 21*w**4 - 141*w**3 - 111*w**2 - 18*w = 0.
-1, -2/9, 0, 3
Factor -2*a**2 + 90*a + 188.
-2*(a - 47)*(a + 2)
Find n such that 24*n**4/5 + 153*n**3/5 + 279*n**2/5 + 48*n/5 - 36 = 0.
-3, -2, 5/8
Suppose -2*t**3/5 + 66*t**2/5 + 468*t/5 = 0. What is t?
-6, 0, 39
Factor -y**3/4 + 8*y**2 - 265*y/4 + 117/2.
-(y - 18)*(y - 13)*(y - 1)/4
Factor -p**3/2 - 31*p**2/2 - 59*p/2 - 29/2.
-(p + 1)**2*(p + 29)/2
Suppose y**2/2 + 643*y/2 - 322 = 0. Calculate y.
-644, 1
Let 8*o**2/17 - 366*o/17 - 470/17 = 0. Calculate o.
-5/4, 47
What is u in -12*u**5 + 63*u**4 + 249*u**3 + 126*u**2 - 48*u = 0?
-2, -1, 0, 1/4, 8
Let m**5/4 + 7*m**4/4 + 3*m**3/4 - 19*m**2/4 - m + 3 = 0. Calculate m.
-6, -2, -1, 1
Factor -15*y**2/4 - 31*y/4 - 4.
-(y + 1)*(15*y + 16)/4
Determine h so that -2*h**5/9 - 154*h**4/9 - 2882*h**3/9 + 1118*h**2/3 + 676*h = 0.
-39, -1, 0, 2
Factor -w**2/5 - 377*w/5.
-w*(w + 377)/5
What is w in 2*w**3/5 - 46*w**2/5 - 714*w/5 + 16758/5 = 0?
-19, 21
Factor -5*z**2 + 5.
-5*(z - 1)*(z + 1)
Factor -c**3 - 4*c**2 + 140*c.
-c*(c - 10)*(c + 14)
Factor -2*y**3/13 - 28*y**2/13 - 106*y/13 - 80/13.
-2*(y + 1)*(y + 5)*(y + 8)/13
Factor 10*a**4 + 16*a**3 - 88*a**2 + 32*a.
2*a*(a - 2)*(a + 4)*(5*a - 2)
Factor t**4 + 6*t**3 + 12*t**2 + 10*t + 3.
(t + 1)**3*(t + 3)
Let 10*c**2/3 + 6814*c/3 + 908 = 0. What is c?
-681, -2/5
Factor 3*t**2 + 48*t - 108.
3*(t - 2)*(t + 18)
Let u**2/3 + 3172*u/3 + 2515396/3 = 0. Calculate u.
-1586
Suppose -35*o**3 - 190*o**2 = 0. Calculate o.
-38/7, 0
Let 14*w**5 - 186*w**4 - 2524*w**3 - 3576*w**2 + 1232*w = 0. Calculate w.
-7, -2, 0, 2/7, 22
Let -4*s**4/7 - 44*s**3/7 - 40*s**2/7 = 0. What is s?
-10, -1, 0
Factor -2*f**2/9 + 62*f/9 - 260/9.
-2*(f - 26)*(f - 5)/9
What is q in -q**4/7 + 5*q**3 + 344*q**2/7 = 0?
-8, 0, 43
Let 2*m**2/9 + 3158*m/9 - 3160/9 = 0. What is m?
-1580, 1
Let -5*i**3 - 335*i**2 + 3420*i = 0. What is i?
-76, 0, 9
Find f, given that 3*f**2 - 3*f - 60 = 0.
-4, 5
Factor 2*m**5/3 + 562*m**4/3 + 53012*m**3/3 + 571020*m**2 + 1089774*m + 536238.
2*(m + 1)**2*(m + 93)**3/3
Solve -2*r**5/7 - 22*r**4/7 - 38*r**3/7 + 198*r**2/7 + 432*r/7 + 216/7 = 0 for r.
-6, -1, 3
Solve 2*b**3/13 - 40*b**2/13 + 38*b/13 = 0 for b.
0, 1, 19
Find o, given that -4*o**2 - 428*o + 9000 = 0.
-125, 18
Solve 8*f**5/11 + 216*f**4/11 - 950*f**3/11 + 1280*f**2/11 - 678*f/11 + 124/11 = 0 for f.
-31, 1/2, 1, 2
Suppose -4*k**5/5 + 16*k**4/5 + 23*k**3/5 - 67*k**2/5 - 119*k/5 - 49/5 = 0. What is k?
-1, 7/2
Let 2*l**5/17 - 10*l**4/17 - 16*l**3/17 + 88*l**2/17 + 64*l/17 - 128/17 = 0. Calculate l.
-2, 1, 4
Solve -4*y**4 + 228*y**3 - 216*y**2 - 448*y = 0 for y.
-1, 0, 2, 56
Determine d so that -2*d**4/13 - 14*d**3/13 - 22*d**2/13 + 14*d/13 + 24/13 = 0.
-4, -3, -1, 1
Factor 3*v**3 - 102*v**2 + 369*v - 270.
3*(v - 30)*(v - 3)*(v - 1)
Factor -2*m**4 + 182*m**3 - 4404*m**2 + 11968*m - 7744.
-2*(m - 44)**2*(m - 2)*(m - 1)
Suppose -12*x**5 - 3021*x**4 - 186708*x**3 + 430914*x**2 - 289560*x + 48387 = 0. Calculate x.
-127, 1/4, 1
Suppose 4*g**5 + 204*g**4 + 3560*g**3 + 23896*g**2 + 43092*g - 70756 = 0. Calculate g.
-19, -7, 1
Solve -390*t**4 + 1029*t**3 + 429*t**2 - 18*t = 0 for t.
-2/5, 0, 1/26, 3
Solve -b**2/2 + 43*b - 1849/2 = 0.
43
Determine s so that -2*s**2/11 - 636*s/11 = 0.
-318, 0
Suppose -m**4 + 13*m**2 - 12*m = 0. What is m?
-4, 0, 1, 3
Find i, given that -5*i**5 + 50*i**4 - 125*i**3 = 0.
0, 5
Factor s**2 - 598*s + 89401.
(s - 299)**2
Solve -225*h**5 - 1840*h**4 + 4200*h**3 + 960*h**2 - 400*h = 0.
-10, -2/5, 0, 2/9, 2
Factor -5*h**2/4 + 345*h/2 - 340.
-5*(h - 136)*(h - 2)/4
Determine c, given that -2*c**4/3 + 2*c**3/3 + 4*c**2 = 0.
-2, 0, 3
Factor n**4/4.
n**4/4
Let -4*a**5/3 + 3217*a**4/3 - 214664*a**3 - 1138475*a**2/3 + 324818*a/3 = 0. Calculate a.
-2, 0, 1/4, 403
Suppose -4*t**5/3 - 25*t**4/3 - 58*t**3/3 - 61*t**2/3 - 28*t/3 - 4/3 = 0. What is t?
-2, -1, -1/4
Let -2*y**4/11 - 106*y**3/11 - 496*y**2/11 - 776*y/11 - 384/11 = 0. Calculate y.
-48, -2, -1
Determine h, given that 6*h**5/5 - 3*h**4 - 288*h**3/5 + 159*h**2/5 + 282*h/5 - 144/5 = 0.
-6, -1, 1/2, 1, 8
Find z, given that -5*z**4 + 20*z**3 - 15*z**2 - 20*z + 20 = 0.
-1, 1, 2
Factor -2593*j**2 + 7781*j - 6.
-(j - 3)*(2593*j - 2)
Factor 44*p**4 - 3528*p**3 + 71040*p**2 - 12800*p.
4*p*(p - 40)**2*(11*p - 2)