 2*n**4 - 46*n**3 + 246*n**2 - 362*n + 160 = 0.
1, 5, 16
Factor -3*b**4/8 + 15*b**3/8 - 9*b**2/4.
-3*b**2*(b - 3)*(b - 2)/8
Determine c so that c**2/2 - 497*c + 992 = 0.
2, 992
What is j in -3*j**3 - 27009*j**2 - 81054009*j - 81081027003 = 0?
-3001
Suppose -w**2 + 34*w - 289 = 0. Calculate w.
17
Solve 6*s**4 - 21*s**3 + 3*s**2 + 21*s - 9 = 0 for s.
-1, 1/2, 1, 3
Factor -45*l**4 + 280*l**3 - 420*l**2 + 80*l.
-5*l*(l - 4)*(l - 2)*(9*l - 2)
Factor 2*q**3/13 - 40*q**2/13 - 86*q/13 - 44/13.
2*(q - 22)*(q + 1)**2/13
Find s such that -s**3 - 31*s**2/3 - 50*s/3 + 16 = 0.
-8, -3, 2/3
Suppose -3*f**2 - 90*f + 648 = 0. Calculate f.
-36, 6
Suppose j**5/3 + j**4 - j**3/3 - 11*j**2/3 - 4*j - 4/3 = 0. Calculate j.
-2, -1, 2
Factor -b**5/3 - 55*b**4/3 - 670*b**3/3 + 2350*b**2/3 - 2465*b/3 + 841/3.
-(b - 1)**3*(b + 29)**2/3
Solve 3*c**5/7 - 90*c**4/7 - 57*c**3/7 + 672*c**2 - 15696*c/7 + 11136/7 = 0.
-8, 1, 4, 29
Suppose -20*y**4/3 + 839*y**3/3 + 902*y**2/3 + 43*y/3 = 0. Calculate y.
-1, -1/20, 0, 43
Factor 18*h**3 + 220*h**2 - 762*h - 180.
2*(h - 3)*(h + 15)*(9*h + 2)
Factor x**3 + 82*x**2 + 1681*x.
x*(x + 41)**2
Determine f, given that -3*f**5 - 60*f**4 - 426*f**3 - 1260*f**2 - 1323*f = 0.
-7, -3, 0
Suppose 2*o**3 + 32*o**2 + 118*o + 88 = 0. Calculate o.
-11, -4, -1
Find v, given that 2*v**4 - 10*v**2 + 8 = 0.
-2, -1, 1, 2
Factor -w**4/4 - 9*w**3/4 - 21*w**2/4 - 19*w/4 - 3/2.
-(w + 1)**3*(w + 6)/4
Factor 2*g**5/3 - 52*g**4/3 + 32*g**3.
2*g**3*(g - 24)*(g - 2)/3
Factor -41*d**2/3 + 43*d/3 - 2/3.
-(d - 1)*(41*d - 2)/3
Suppose x**4/6 - 25*x**3/6 + 27*x**2/2 + 315*x/2 + 225 = 0. What is x?
-3, -2, 15
Solve -361*j**2/3 + 304*j/3 - 64/3 = 0 for j.
8/19
Factor o**2/10 - 79*o/2 - 597/5.
(o - 398)*(o + 3)/10
Factor 5*y**3 - 255*y**2 - 1710*y.
5*y*(y - 57)*(y + 6)
Factor 3*z**5 - 45*z**4 + 246*z**3 - 576*z**2 + 480*z.
3*z*(z - 5)*(z - 4)**2*(z - 2)
Factor -522*s**3 + 1041*s**2 - 516*s - 3.
-3*(s - 1)**2*(174*s + 1)
Factor -t**5/3 + 7*t**4/3 - 16*t**3/3 + 8*t**2/3 + 16*t/3 - 16/3.
-(t - 2)**4*(t + 1)/3
Find m, given that -3*m**4 + 243*m**3 - 3051*m**2 + 5385*m - 2574 = 0.
1, 13, 66
Find a, given that -a**5/5 + 32*a**4/5 - 57*a**3 + 90*a**2 = 0.
0, 2, 15
Solve a**3/2 - 101*a**2/2 + 47*a + 300 = 0 for a.
-2, 3, 100
Factor g**2/3 - 56*g/3.
g*(g - 56)/3
Determine f so that -3*f**3 + 3525*f**2 + 14136*f + 14148 = 0.
-2, 1179
Factor -18*v**3 + 161*v**2 + 103*v - 76.
-(v + 1)*(2*v - 19)*(9*v - 4)
Solve -3*d**2 - 69*d + 150 = 0.
-25, 2
Find s such that 3*s**4/2 - 129*s**3/8 - 333*s**2/8 - 231*s/8 - 39/8 = 0.
-1, -1/4, 13
Factor -p**2/4 + 29*p/4 - 7.
-(p - 28)*(p - 1)/4
Solve 3*n**4 - 39*n**3 + 54*n**2 + 480*n + 384 = 0 for n.
-2, -1, 8
Suppose -10*q**5 - 64*q**4 - 74*q**3 - 20*q**2 = 0. What is q?
-5, -1, -2/5, 0
Determine d, given that -d**4/5 - 52*d**3/5 - 722*d**2/5 - 220*d + 375 = 0.
-25, -3, 1
Find z, given that 5*z**4 - 515*z**3 + 14000*z**2 - 37500*z = 0.
0, 3, 50
Suppose 2*p**4 + 77*p**3 - 39*p**2 = 0. Calculate p.
-39, 0, 1/2
Determine r, given that -2*r**3 - 500*r**2 - 994*r - 496 = 0.
-248, -1
Solve 5*j**2 + 35*j + 50 = 0 for j.
-5, -2
Factor -5*q**2 - 355*q + 2310.
-5*(q - 6)*(q + 77)
Determine o, given that 3*o**2/4 + 117*o/2 - 237/4 = 0.
-79, 1
Suppose p**4 - 180*p**3 + 10974*p**2 - 236708*p + 616137 = 0. Calculate p.
3, 59
Factor -x**2/4 - x/2 - 1/4.
-(x + 1)**2/4
Determine k, given that 4*k**3/7 - 32*k**2/7 + 80*k/7 - 64/7 = 0.
2, 4
Factor d**3/3 - 34*d**2/3 - 47*d/3 + 140.
(d - 35)*(d - 3)*(d + 4)/3
Solve 2*y**5/7 + 270*y**4/7 + 14580*y**3/7 + 393660*y**2/7 + 5314410*y/7 + 28697814/7 = 0.
-27
Suppose 10*n**4 + 875*n**3 + 17040*n**2 - 93380*n + 42320 = 0. What is n?
-46, 1/2, 4
Factor -3*v**4 - 45*v**3 + 48*v**2.
-3*v**2*(v - 1)*(v + 16)
Factor 4*i**4 - 244*i**3 - 3360*i**2 - 10512*i.
4*i*(i - 73)*(i + 6)**2
Factor -4*j**3 + 172*j**2 - 640*j + 624.
-4*(j - 39)*(j - 2)**2
Determine t, given that -3*t**4/5 + 378*t**3/5 + 312*t**2 = 0.
-4, 0, 130
Factor 2*w**5/15 + 22*w**4/5 + 42*w**3/5 + 62*w**2/15.
2*w**2*(w + 1)**2*(w + 31)/15
Factor 2*c**2/5 - 18/5.
2*(c - 3)*(c + 3)/5
Factor 32*j**4 + 100*j**3 + 108*j**2 + 44*j + 4.
4*(j + 1)**3*(8*j + 1)
Find u such that -10*u**3/9 + 316*u**2 + 19234*u/9 - 2716/3 = 0.
-7, 2/5, 291
Suppose -3*j**2 - 480*j - 19200 = 0. What is j?
-80
Factor 5*u**2 - 4220*u + 8420.
5*(u - 842)*(u - 2)
Suppose -243602*u**4/11 + 1946024*u**3/11 - 3875304*u**2/11 - 44608*u/11 - 128/11 = 0. What is u?
-2/349, 4
Suppose 3*f**4 + 156*f**3 + 1866*f**2 - 4212*f + 2187 = 0. What is f?
-27, 1
Factor -6*k**2 - 952*k - 632.
-2*(k + 158)*(3*k + 2)
Solve -3*u**3 + 897*u**2 + 1815*u - 2709 = 0.
-3, 1, 301
Suppose -3*b**4/8 - 51*b**3/8 + 81*b**2/8 + 5103*b/8 + 10935/4 = 0. Calculate b.
-9, 10
Factor -2*u**4 + 158*u**3 - 462*u**2 + 458*u - 152.
-2*(u - 76)*(u - 1)**3
Factor 2*g**4/5 + 24*g**3/5 + 92*g**2/5 + 24*g + 10.
2*(g + 1)**2*(g + 5)**2/5
Factor o**3/6 - 271*o**2/6 + 8540*o/3 + 29400.
(o - 140)**2*(o + 9)/6
Factor 4*j**5 - 44*j**4 + 132*j**3 - 20*j**2 - 200*j.
4*j*(j - 5)**2*(j - 2)*(j + 1)
Factor 3*m**3 + 156*m**2.
3*m**2*(m + 52)
Suppose -3*c**3/8 + 102*c**2 = 0. Calculate c.
0, 272
Find u, given that 2*u**4/13 - 3272*u**2/13 - 46464*u/13 + 105984/13 = 0.
-24, 2, 46
Solve 5*u**2 + 20*u + 15 = 0 for u.
-3, -1
Suppose 1029*i**4 + 2891*i**3/6 - 91*i**2 - 74*i - 28/3 = 0. Calculate i.
-2/7, 7/18
Determine h so that -2*h**4 + 58*h**3 - 486*h**2 + 806*h + 1352 = 0.
-1, 4, 13
Factor 2*n**3/5 - 4*n**2/5 - 22*n/5 + 24/5.
2*(n - 4)*(n - 1)*(n + 3)/5
What is l in -2*l**4 - 12*l**3 + 18*l**2 + 28*l = 0?
-7, -1, 0, 2
Let 5*w**4 - 20*w**3 - 65*w**2 + 20*w + 60 = 0. Calculate w.
-2, -1, 1, 6
Factor 8*v**3 + 107*v**2/7 + 46*v/7 - 5/7.
(v + 1)**2*(56*v - 5)/7
Solve -5*s**5 - 60*s**4 - 220*s**3 - 350*s**2 - 255*s - 70 = 0 for s.
-7, -2, -1
Suppose -3*x**3/5 + 57*x**2 + 294*x/5 - 576/5 = 0. Calculate x.
-2, 1, 96
Solve -5*s**4 - 10*s**3 + 95*s**2 - 140*s + 60 = 0.
-6, 1, 2
Determine m, given that -5*m**5/2 - 245*m**4/2 - 1915*m**3 - 8075*m**2 + 44795*m/2 - 24565/2 = 0.
-17, 1
Factor 2*k**2/5 + 222*k/5 + 436/5.
2*(k + 2)*(k + 109)/5
Suppose -2*p**5/3 + 20*p**4/3 - 6*p**3 = 0. What is p?
0, 1, 9
Factor k**4/8 - 449*k**3/4 + 198889*k**2/8 + 152211*k + 229842.
(k - 452)**2*(k + 3)**2/8
Solve b**5/5 + 34*b**4/5 + 424*b**3/5 + 464*b**2 + 1040*b + 800 = 0 for b.
-10, -2
What is n in 4*n**3 + 108*n**2 + 536*n + 672 = 0?
-21, -4, -2
Find j such that -6*j**5/7 - 68*j**4/7 - 166*j**3/7 - 24*j**2/7 + 200*j/7 + 64/7 = 0.
-8, -2, -1/3, 1
Let -232*o**4/3 - 506*o**3/3 - 104*o**2 - 34*o/3 + 4/3 = 0. What is o?
-1, -1/4, 2/29
Factor -k**5 - 97*k**4 + 12*k**3 + 1180*k**2 + 1552*k.
-k*(k - 4)*(k + 2)**2*(k + 97)
Let -2916*w**4 + 357696*w**3 - 237600*w**2 + 52736*w - 3904 = 0. What is w?
2/9, 122
Solve -12*y**2 + 69*y + 81 = 0.
-1, 27/4
Factor -3*v**2/2 - 180*v - 2226.
-3*(v + 14)*(v + 106)/2
Factor -2*b**3/15 + 34*b**2/15 - 28*b/5.
-2*b*(b - 14)*(b - 3)/15
Let 2*o**5/13 + 50*o**4/13 - 2*o**3/13 - 50*o**2/13 = 0. What is o?
-25, -1, 0, 1
Let -3*m**3 + 108*m**2 - 1260*m + 4704 = 0. What is m?
8, 14
Suppose -3*v**4/4 - 21*v**3/4 - 45*v**2/4 - 39*v/4 - 3 = 0. What is v?
-4, -1
Suppose -d**4 - 24*d**3 - 85*d**2 - 102*d - 40 = 0. What is d?
-20, -2, -1
Factor -d**2/8 + d/4 + 3.
-(d - 6)*(d + 4)/8
Factor 3*y**2/4 + 747*y + 186003.
3*(y + 498)**2/4
Factor 3*q**2 - 109*q + 36.
(q - 36)*(3*q - 1)
Solve -c**4/7 + 10*c**3/7 - 4*c**2 + 24*c/7 = 0.
0, 2, 6
Factor -v**2 - 110*v - 3025.
-(v + 55)**2
Determine k, given that -3*k**2 + 99*k - 810 = 0.
15, 18
Factor -c**3/4 - 85*c**2/4 + 553*c/4 + 637/4.
-(c - 7)*(c + 1)*(c + 91)/4
Let 4*q**5 - 28*q**4 + 76*q**3 - 100*q**2 + 64*q - 16 = 0. What is q?
1, 2
Find d such that 3102044416*d**4 + 52577024*d**3 + 334176*d**2 + 944*d + 1 = 0.
-1/236
Find w, given that w**5 - 10*w**4 + 26*w**3 - 8*w**2 - 27*w + 18 = 0.
-1, 1, 3, 6
Determine d so that d**4 - 401*d**3 + 39999*d**2 + 40401*d = 0.
-1, 0, 201
Let -2*a**5 - 2842*a**4 - 5678*a**3 - 2838*a**2 = 0. Calculate a.
-1419, -1, 0
Factor -4*j**5 + 4380*j**4 + 17560*j**3 + 26360*j**2 + 17580*j + 4396.
-4*(j - 1099)*(j + 1)**4
Find o, given that 2*o**3/7 - 22*o**2/7 + 10*o - 50/7 = 0.
1, 5
What is u in 2*u**2/7 - 10*u/7 - 12/7 = 0?
-1, 6
Factor o**4/4 + 4*o**3 + 20*o**2 + 32*o.
o*(o + 4)**2*(o + 8)/4
Suppose -u**3/3 +