n -4*o**4 - 3492*o**3 - 1023060*o**2 - 102563788*o - 579301656 = 0?
-289, -6
Suppose 3*q**5/5 - 102*q**4/5 + 75*q**3 - 456*q**2/5 + 36*q = 0. Calculate q.
0, 1, 2, 30
Factor 2*b**4 - 660*b**3 + 71928*b**2 - 2513484*b - 8205786.
2*(b - 111)**3*(b + 3)
Find i, given that 9*i**4/10 - 5*i**3/2 - 48*i**2/5 - 2*i = 0.
-2, -2/9, 0, 5
Factor 2*o**4/5 - 214*o**3/5 + 5616*o**2/5 + 5832*o/5.
2*o*(o - 54)**2*(o + 1)/5
Factor 4*p**3/3 - 721*p**2/3 + 10860*p - 2700.
(p - 90)**2*(4*p - 1)/3
Factor -5*g**4 - 195*g**3 - 1750*g**2 - 1560*g.
-5*g*(g + 1)*(g + 12)*(g + 26)
Determine x so that -4*x**5/7 + 2*x**4/7 + 44*x**3/7 + 50*x**2/7 - 4*x/7 - 16/7 = 0.
-2, -1, 1/2, 4
Factor -2*z**3/7 + 12*z**2/7 - 6*z/7 - 20/7.
-2*(z - 5)*(z - 2)*(z + 1)/7
Factor 22*d**3 + 148*d**2 - 438*d + 108.
2*(d - 2)*(d + 9)*(11*d - 3)
Suppose w**2/5 + 408*w/5 + 243 = 0. What is w?
-405, -3
Solve -3*p**2 + 72*p - 69 = 0.
1, 23
Solve -2*d**5/5 - 18*d**4/5 - 42*d**3/5 - 38*d**2/5 - 12*d/5 = 0 for d.
-6, -1, 0
What is s in s**2/5 + 14*s/5 + 8 = 0?
-10, -4
Determine r, given that 4*r**5 - 231*r**4 + 2810*r**3 + 15101*r**2 + 18972*r + 3844 = 0.
-2, -1/4, 31
Find k, given that -k**4/7 - 75*k**3/7 + 393*k**2/7 - 557*k/7 + 240/7 = 0.
-80, 1, 3
Factor -2*d**5/5 - 44*d**4/5 - 314*d**3/5 - 792*d**2/5 - 648*d/5.
-2*d*(d + 2)**2*(d + 9)**2/5
Factor 4*r**5 + 4*r**4 - 4*r**3 - 4*r**2.
4*r**2*(r - 1)*(r + 1)**2
Factor -10*r**3 - 32*r**2 + 102*r + 252.
-2*(r - 3)*(r + 2)*(5*r + 21)
Solve -2*p**5 + 18*p**4 + 128*p**3 + 176*p**2 - 96*p - 224 = 0 for p.
-2, 1, 14
Factor -m**2/2 + 14*m - 96.
-(m - 16)*(m - 12)/2
Solve -3*j**4/4 + 3*j**2/2 - 3/4 = 0 for j.
-1, 1
Factor -y**3 - 251*y**2 + 1542*y.
-y*(y - 6)*(y + 257)
Solve -3*i**2 - 669*i + 4830 = 0 for i.
-230, 7
Factor -2*l**3/5 + 76*l**2/5 - 792*l/5 + 1296/5.
-2*(l - 18)**2*(l - 2)/5
Let -q**5/8 - 63*q**4/2 + 509*q**3/4 - 383*q**2/2 + 1023*q/8 - 32 = 0. Calculate q.
-256, 1
Solve 5*k**2 - 40*k + 35 = 0.
1, 7
Factor -2*k**2/15 + 34*k/15 - 104/15.
-2*(k - 13)*(k - 4)/15
Let j**2/3 + 434*j/3 + 47089/3 = 0. Calculate j.
-217
Factor 4*i**4 + 24*i**3 + 16*i**2 - 24*i - 20.
4*(i - 1)*(i + 1)**2*(i + 5)
Factor -3*i**3 - 15*i**2.
-3*i**2*(i + 5)
What is m in 2*m**5/5 + 14*m**4/5 - 16*m**3/5 = 0?
-8, 0, 1
Factor -2*a**5/3 + 332*a**4/3 - 648*a**3 + 3856*a**2/3 - 2560*a/3.
-2*a*(a - 160)*(a - 2)**3/3
Factor -3*l**3/4 + 1341*l**2/2 - 199809*l + 19847694.
-3*(l - 298)**3/4
Factor -z**2 - 141*z + 142.
-(z - 1)*(z + 142)
Let 2*m**5/7 - 218*m**4/7 + 848*m**3/7 - 120*m**2 = 0. Calculate m.
0, 2, 105
Solve -3*o**2 - 123*o - 120 = 0.
-40, -1
Factor o**5/3 + 5*o**4 + 25*o**3 + 145*o**2/3 + 40*o + 12.
(o + 1)**3*(o + 6)**2/3
Factor -10125*z**4/8 - 26325*z**3/4 - 2565*z**2/2 - 339*z/4 - 15/8.
-3*(z + 5)*(15*z + 1)**3/8
Factor 5*w**5 - 85*w**4 + 395*w**3 - 315*w**2.
5*w**2*(w - 9)*(w - 7)*(w - 1)
Factor -a**5 + 3*a**4 + 2*a**3 - 6*a**2 - a + 3.
-(a - 3)*(a - 1)**2*(a + 1)**2
Factor v**3/5 - 34*v**2/5 - 47*v - 40.
(v - 40)*(v + 1)*(v + 5)/5
What is g in 2*g**3/9 - 28*g**2/9 - 2*g/9 + 28/9 = 0?
-1, 1, 14
Factor -2*n**2/13 - 1130*n/13.
-2*n*(n + 565)/13
Suppose -o**3/2 + 5*o**2 - 7*o/2 - 9 = 0. What is o?
-1, 2, 9
Factor 3*s**4/8 + 21*s**3/4 + 75*s**2/8 + 9*s/2.
3*s*(s + 1)**2*(s + 12)/8
Solve a**2 + 20*a - 189 = 0 for a.
-27, 7
Find b, given that b**2/6 + 27*b/2 - 42 = 0.
-84, 3
Determine q, given that 4*q**4 - 2235*q**3 + 313037*q**2 - 232965*q - 77841 = 0.
-1/4, 1, 279
Factor 2*q**2/7 - 124*q/7 + 122/7.
2*(q - 61)*(q - 1)/7
Let -8*y**5/5 + 486*y**4/5 - 1286*y**3/5 + 576*y**2/5 + 232*y/5 = 0. Calculate y.
-1/4, 0, 1, 2, 58
Suppose -2*r**5 - 16*r**4 + 210*r**3 = 0. Calculate r.
-15, 0, 7
Factor -z**2/6 + z/6 + 2.
-(z - 4)*(z + 3)/6
Determine q, given that 2*q**2 - 796*q + 1584 = 0.
2, 396
Factor z**2/4 - z - 5/4.
(z - 5)*(z + 1)/4
What is r in r**5/9 + 14*r**4/9 + 53*r**3/9 + 76*r**2/9 + 4*r = 0?
-9, -2, -1, 0
Suppose -3*j**2 + 23874*j - 47497323 = 0. Calculate j.
3979
Let -3*f**2 - 561*f + 7164 = 0. Calculate f.
-199, 12
Factor x**4/6 + x**3/6 - 2*x**2 + 2*x/3 + 8/3.
(x - 2)**2*(x + 1)*(x + 4)/6
Factor o**4/6 + 63*o**3 - 127*o**2/2 - 379*o/3.
o*(o - 2)*(o + 1)*(o + 379)/6
Find g such that -144*g**5 - 284*g**4 + 52*g**3 + 420*g**2 + 268*g + 40 = 0.
-1, -2/9, 5/4
Find d, given that 3*d**2 + 33*d + 30 = 0.
-10, -1
Factor -8*k**3 + 1716*k**2 - 4228*k - 2544.
-4*(k - 212)*(k - 3)*(2*k + 1)
Factor -2*k**3/3 + 300*k**2 - 2674*k/3 - 1192.
-2*(k - 447)*(k - 4)*(k + 1)/3
Factor -b**4/10 - 2*b**3/5 + 19*b**2/5 - 6*b + 27/10.
-(b - 3)*(b - 1)**2*(b + 9)/10
Let -v**3 + 48*v**2 + 220*v - 624 = 0. Calculate v.
-6, 2, 52
Determine k, given that -2*k**4/3 - 50*k**3/3 - 158*k**2/3 + 70*k = 0.
-21, -5, 0, 1
Find b such that b**3/2 + 7*b**2/4 + 2*b + 3/4 = 0.
-3/2, -1
Factor f**4/3 - f**3/3 - 4*f**2/3 + 4*f/3.
f*(f - 2)*(f - 1)*(f + 2)/3
Let 735*m**4/2 - 15771*m**3/2 - 12753*m**2 - 6576*m - 1104 = 0. What is m?
-4/7, -2/5, 23
Factor -2*y**2/9 - 56*y/9 + 62/3.
-2*(y - 3)*(y + 31)/9
Solve 10*s**5/9 + 274*s**4/9 + 82*s**3 - 15898*s**2/9 + 28220*s/9 + 4624/3 = 0 for s.
-17, -2/5, 3, 4
Solve 2*o**4/5 - 22*o**3/5 + 66*o**2/5 - 74*o/5 + 28/5 = 0 for o.
1, 2, 7
Factor -2*a**4/15 + 38*a**3/15 - 66*a**2/5 + 54*a/5.
-2*a*(a - 9)**2*(a - 1)/15
Let 95*u**2 + 45*u - 50 = 0. What is u?
-1, 10/19
Let -2*o**4/3 - 2*o**3 + 2*o**2 + 14*o/3 - 4 = 0. Calculate o.
-3, -2, 1
Factor 8*t**3/5 - 4*t**2 - 56*t/5 + 32/5.
4*(t - 4)*(t + 2)*(2*t - 1)/5
Factor 7442*q**2/11 + 976*q/11 + 32/11.
2*(61*q + 4)**2/11
Let 2*k**5/5 - 2*k**4/15 - 34*k**3/5 - 182*k**2/15 - 16*k/5 + 8/3 = 0. What is k?
-2, -1, 1/3, 5
Determine n so that 2*n**4/5 + 4*n**3/5 - 22*n**2/5 - 24*n/5 + 72/5 = 0.
-3, 2
Factor -3*x**2/4 - 216*x - 429.
-3*(x + 2)*(x + 286)/4
Solve 4*l**2/7 + 8*l/7 - 1152/7 = 0 for l.
-18, 16
Factor k**3 - 8*k**2 + 17*k - 10.
(k - 5)*(k - 2)*(k - 1)
Suppose -10*u**5 - 28*u**4 - 4*u**3 + 32*u**2 + 14*u - 4 = 0. Calculate u.
-2, -1, 1/5, 1
Factor d**5/3 - 2*d**4/3 - d**3.
d**3*(d - 3)*(d + 1)/3
Factor -4*s**2 - 1740*s - 1736.
-4*(s + 1)*(s + 434)
Determine h so that -5*h**2 + 150*h + 4320 = 0.
-18, 48
Suppose -t**4/3 + 4*t**3/3 + 37*t**2/3 - 40*t/3 = 0. Calculate t.
-5, 0, 1, 8
Factor -w**2 + 14*w - 49.
-(w - 7)**2
Determine r so that 45*r**5 + 355*r**4 + 275*r**3 - 35*r**2 = 0.
-7, -1, 0, 1/9
Find n, given that -3*n**3 - 83*n**2/3 - 6*n = 0.
-9, -2/9, 0
Let -2*b**2/7 + 328*b/7 - 648/7 = 0. What is b?
2, 162
Determine g so that 2*g**5/5 + 56*g**4/5 + 148*g**3/5 - 56*g**2/5 - 30*g = 0.
-25, -3, -1, 0, 1
Factor 5*m**3 - 15*m**2 - 360*m - 880.
5*(m - 11)*(m + 4)**2
Suppose -2*g**4 + 12*g**3 + 24*g**2 - 76*g + 42 = 0. Calculate g.
-3, 1, 7
Suppose 2*y**5/3 - 2*y**4 - 2*y**3/3 + 2*y**2 = 0. Calculate y.
-1, 0, 1, 3
Solve -32*v**3/7 + 48*v**2/7 + 30*v/7 - 50/7 = 0 for v.
-1, 5/4
Factor -5*m**4 + 115*m**3 - 105*m**2 - 115*m + 110.
-5*(m - 22)*(m - 1)**2*(m + 1)
What is k in -k**5/3 + k**4 + 17*k**3/3 + 3*k**2 - 16*k/3 - 4 = 0?
-2, -1, 1, 6
Factor -2*q**3 + 6*q**2 + 12*q - 16.
-2*(q - 4)*(q - 1)*(q + 2)
Factor a**3/4 - 5*a**2/2 - 137*a/4 + 153/2.
(a - 17)*(a - 2)*(a + 9)/4
Factor -5*w**5 - 55*w**4 - 135*w**3 - 125*w**2 - 40*w.
-5*w*(w + 1)**3*(w + 8)
Find f such that 72*f**3 - 15556*f**2 + 840672*f - 46656 = 0.
1/18, 108
Suppose 3*y**4/2 - 11*y**3/6 + y**2/3 = 0. What is y?
0, 2/9, 1
Factor 3*k**4 - 57*k**3 - 528*k**2 - 468*k.
3*k*(k - 26)*(k + 1)*(k + 6)
Factor h**2/4 - 169*h/2 + 498.
(h - 332)*(h - 6)/4
Let 2*y**3 - 142*y**2 - 2*y + 142 = 0. Calculate y.
-1, 1, 71
Solve f**3/3 - 26*f**2 - 168*f = 0.
-6, 0, 84
Factor -b**2/9 - 532*b/9 - 70756/9.
-(b + 266)**2/9
Find o, given that -20*o**4 + 35*o**3 + 790*o**2 + 1635*o + 360 = 0.
-3, -1/4, 8
Determine g so that -4*g**4/9 - 16*g**3/9 - 20*g**2/9 - 8*g/9 = 0.
-2, -1, 0
Find v such that -2*v**5/15 + 22*v**4/15 - 22*v**3/5 + 2*v**2/3 + 20*v/3 = 0.
-1, 0, 2, 5
What is a in 25*a**4 - 240*a**3 - 375*a**2 - 110*a = 0?
-1, -2/5, 0, 11
Factor 2*h**3/11 - 16*h**2/11 - 522*h/11 - 504/11.
2*(h - 21)*(h + 1)*(h + 12)/11
Suppose -3*z**3 - 9*z**2 + 12*z = 0. What is z?
-4, 0, 1
Factor -26*a**3 + 100*a**2 + 146*a + 20.
-2*(a - 5)*(a + 1)*(13*a + 2)
What is p in -2*p**3/15 + 4*p**2/15 = 0?
0, 2
Factor 4*o**3/3 + 32*o**2/3 - 16*o/3 - 128/3.
4*(o - 2)*(o + 2)*(o + 8)/3
Solve k**3 - 304*k**2 + 23405*k - 45602 =