.
(j - 1)**2*(j + 1249)/3
Suppose -w**5 - 2*w**4 + 3*w**3 + 4*w**2 - 4*w = 0. Calculate w.
-2, 0, 1
Find k, given that -10*k**4 - 494*k**3 - 6436*k**2 - 8256*k - 2304 = 0.
-24, -1, -2/5
Factor k**3/9 - 37*k**2/9 + 400*k/9 - 448/3.
(k - 21)*(k - 8)**2/9
What is k in -14*k**5 + 18*k**4 + 94*k**3 - 42*k**2 - 80*k + 24 = 0?
-2, -1, 2/7, 1, 3
Factor 2*o**3/7 - 26*o**2/7 - 66*o/7 + 90/7.
2*(o - 15)*(o - 1)*(o + 3)/7
Suppose -3*i**5/4 + 21*i**4/2 - 36*i**3 - 21*i**2/2 + 147*i/4 = 0. Calculate i.
-1, 0, 1, 7
Let -5*u**2 - 450*u - 10125 = 0. Calculate u.
-45
Factor -2*d**4/13 - 12*d**3/13 - 18*d**2/13.
-2*d**2*(d + 3)**2/13
Factor 3*l**2/5 + 72*l + 2160.
3*(l + 60)**2/5
Factor -k**5 - 17*k**4 + 80*k**3 - 84*k**2.
-k**2*(k - 2)**2*(k + 21)
Factor 4*y**3 - 20*y**2 + 16*y.
4*y*(y - 4)*(y - 1)
Find c, given that 3*c**5 + 223*c**4/3 + 1237*c**3/3 - 1807*c**2/3 + 338*c/3 = 0.
-13, 0, 2/9, 1
Factor 2*r**2/13 + 492*r/13 + 10258/13.
2*(r + 23)*(r + 223)/13
Factor -s**3/2 + 39*s**2/2 - 399*s/2 + 361/2.
-(s - 19)**2*(s - 1)/2
What is c in 3*c**4 + 306*c**3 + 6819*c**2 - 50868*c + 43740 = 0?
-54, 1, 5
Factor -2*o**2 - 1012*o - 128018.
-2*(o + 253)**2
Factor -8*p**2/7 + 108*p/7 - 100/7.
-4*(p - 1)*(2*p - 25)/7
Determine w, given that -15*w**4/2 - 39*w**3 + 315*w**2/2 + 453*w + 84 = 0.
-7, -2, -1/5, 4
Find t, given that -3*t**5 + 6*t**4 + 18*t**3 - 60*t**2 + 57*t - 18 = 0.
-3, 1, 2
Factor 2*k**4/7 + 8*k**3 + 104*k**2/7.
2*k**2*(k + 2)*(k + 26)/7
Factor -3*u**5 + 9*u**4 + 48*u**3 - 264*u**2 + 432*u - 240.
-3*(u - 2)**4*(u + 5)
Determine h, given that -2*h**5/9 - 4*h**4 - 146*h**3/9 - 24*h**2 - 104*h/9 = 0.
-13, -2, -1, 0
Factor b**2/2 + 236*b + 27848.
(b + 236)**2/2
Let -5*d**4 + 293*d**3 + 5798*d**2 + 26272*d + 9600 = 0. Calculate d.
-8, -2/5, 75
Factor 2*r**3/3 - 20*r**2/9 - 26*r + 80/9.
2*(r - 8)*(r + 5)*(3*r - 1)/9
Let 2*l**5/19 - 1736*l**4/19 + 3464*l**3/19 + 4*l**2/19 - 3466*l/19 + 1732/19 = 0. Calculate l.
-1, 1, 866
Find l such that l**5/3 + 39*l**4 + 458*l**3/3 + 682*l**2/3 + 151*l + 113/3 = 0.
-113, -1
Suppose 2*j**5/3 + 62*j**4/3 + 170*j**3 + 150*j**2 = 0. Calculate j.
-15, -1, 0
Solve -2*g**3/5 - 4*g**2 - 56*g/5 - 48/5 = 0 for g.
-6, -2
Solve -666*a**5/5 - 2532*a**4/5 - 1736*a**3/5 - 412*a**2/5 - 6*a = 0.
-3, -1/3, -5/37, 0
Factor 3*g**4 - 60*g**3 - 132*g**2.
3*g**2*(g - 22)*(g + 2)
Factor -4*a**4 + 172*a**3 - 2520*a**2 + 13328*a - 10976.
-4*(a - 14)**3*(a - 1)
Let -3*g**2/8 + 153*g/8 = 0. What is g?
0, 51
Solve 5*u**2 - 595*u - 1210 = 0 for u.
-2, 121
Solve -h**2 + 37*h - 36 = 0 for h.
1, 36
Factor 3*u**4/5 - 12*u**3/5 + 18*u**2/5 - 12*u/5 + 3/5.
3*(u - 1)**4/5
Factor r**4/2 + 13*r**3/2 - r**2/2 - 13*r/2.
r*(r - 1)*(r + 1)*(r + 13)/2
What is z in 12005*z**3 - 264600*z**2 + 10785*z - 110 = 0?
1/49, 22
Let -3*p**2 + 26910*p - 60345675 = 0. What is p?
4485
Find g such that g**4 + 3*g**3 - 45*g**2 + 81*g = 0.
-9, 0, 3
Let -29*f**2/4 - 55*f/8 + 3/8 = 0. Calculate f.
-1, 3/58
Solve 2*r**3/11 + 60*r**2 + 53106*r/11 - 223112/11 = 0.
-167, 4
Factor 3*j**2/4 - 9*j/4 + 3/2.
3*(j - 2)*(j - 1)/4
Determine h, given that 2*h**4/3 - 14*h**3/3 + 28*h**2/3 - 16*h/3 = 0.
0, 1, 2, 4
Suppose -4*a**4/7 - 570*a**3/7 - 40*a**2 + 570*a/7 + 284/7 = 0. Calculate a.
-142, -1, -1/2, 1
Solve -98*j**5 + 336*j**4 + 118*j**3 - 612*j**2 - 344*j - 48 = 0.
-1, -2/7, 2, 3
Factor 5*u**3 + 170*u**2 + 155*u - 330.
5*(u - 1)*(u + 2)*(u + 33)
Suppose 3*s**2 - 75 = 0. Calculate s.
-5, 5
Determine x so that 4*x**4 - 64*x**3 + 176*x**2 + 256*x - 768 = 0.
-2, 2, 4, 12
Suppose -2*p**2/3 + 62*p = 0. Calculate p.
0, 93
Let -2*t**3/3 - 24*t**2 - 190*t + 1444/3 = 0. Calculate t.
-19, 2
Let 2*a**3/21 - 16*a**2/7 + 202*a/21 + 204/7 = 0. What is a?
-2, 9, 17
Solve -4*b**5 - 304*b**4/3 + 212*b**3/3 + 104*b**2/3 = 0 for b.
-26, -1/3, 0, 1
Suppose 2*t**5/11 + 26*t**4/11 + 6*t**3 + 62*t**2/11 + 20*t/11 = 0. Calculate t.
-10, -1, 0
Factor -2*k**2/11 + 54*k/11.
-2*k*(k - 27)/11
What is s in -4*s**4 + 92*s**3 = 0?
0, 23
Factor 500*a**3 - 900*a**2 - 195*a - 10.
5*(a - 2)*(10*a + 1)**2
Factor -d**2/8 + 1909*d/4 - 3644281/8.
-(d - 1909)**2/8
Let 5*g**3 + 10*g**2 - 40*g = 0. What is g?
-4, 0, 2
Solve 4*g**2 + 992*g + 61504 = 0 for g.
-124
Factor -144*x**4 - 240*x**3 + 92*x**2 - 8*x.
-4*x*(x + 2)*(6*x - 1)**2
Factor 2*i**3/3 + 28*i**2/3 - 338*i/3 + 308/3.
2*(i - 7)*(i - 1)*(i + 22)/3
Factor 5*t**4 - 1635*t**3 + 178215*t**2 - 6475145*t.
5*t*(t - 109)**3
Suppose 3*j**4 - 66*j**3 + 291*j**2 + 360*j = 0. What is j?
-1, 0, 8, 15
Let -2*b**2/7 + 5*b/7 = 0. Calculate b.
0, 5/2
Factor 3*m**4 + 9*m**3 - 27*m**2 + 15*m.
3*m*(m - 1)**2*(m + 5)
Suppose -30*t**3 - 296*t**2 - 710*t + 100 = 0. Calculate t.
-5, 2/15
Factor -25*f**2/3 + 830*f/3 - 6889/3.
-(5*f - 83)**2/3
Find y such that 4*y**5 + 16*y**4 - 20*y**3 - 80*y**2 + 16*y + 64 = 0.
-4, -2, -1, 1, 2
Suppose -3*x**3/7 + 66*x**2/7 + 3*x/7 - 66/7 = 0. What is x?
-1, 1, 22
Suppose -b**4 - 9*b**3 - 13*b**2 + 9*b + 14 = 0. What is b?
-7, -2, -1, 1
Solve -27*g**5/2 - 720*g**4 - 6612*g**3 + 89328*g**2 + 127080*g + 43200 = 0.
-30, -2/3, 8
Let q**2 - 29*q - 1770 = 0. What is q?
-30, 59
What is m in -4*m**5/11 + 74*m**4/11 - 342*m**3/11 + 358*m**2/11 + 34*m/11 - 120/11 = 0?
-1/2, 1, 5, 12
Find h, given that h**5/4 + 271*h**4/4 + 8975*h**3/2 - 27743*h**2/2 + 56033*h/4 - 18769/4 = 0.
-137, 1
Factor 8*a**5 - 28*a**4 + 12*a**3.
4*a**3*(a - 3)*(2*a - 1)
Suppose -2*g**3/9 + 4*g**2/9 + 22*g/9 - 8/3 = 0. Calculate g.
-3, 1, 4
Suppose 3*b**2/4 + 12*b + 36 = 0. What is b?
-12, -4
Factor -3*u**4 + 96*u**3 + 12*u**2 - 384*u.
-3*u*(u - 32)*(u - 2)*(u + 2)
Determine r, given that 2*r**4 + 42*r**3 + 130*r**2 - 138*r - 612 = 0.
-17, -3, 2
Factor -5*u**4 + 85*u**3 - 455*u**2 + 735*u.
-5*u*(u - 7)**2*(u - 3)
Factor s**3/4 - 21*s**2/2 + 72*s - 136.
(s - 34)*(s - 4)**2/4
Factor 5*v**5 + 780*v**4 + 31190*v**3 + 60060*v**2 + 29645*v.
5*v*(v + 1)**2*(v + 77)**2
Let -2*n**2/5 + 124*n/5 - 1922/5 = 0. Calculate n.
31
Determine x so that 5*x**4 + 5*x**3 - 60*x**2 - 140*x - 80 = 0.
-2, -1, 4
Factor 12*z**2 - 4880*z + 3248.
4*(z - 406)*(3*z - 2)
Suppose -s**4 - 34*s**3 - 288*s**2 + 34*s + 289 = 0. What is s?
-17, -1, 1
Find b, given that 9*b**5 + 843*b**4 + 2196*b**3 + 1092*b**2 = 0.
-91, -2, -2/3, 0
Find o, given that 3*o**2 - 534*o + 1056 = 0.
2, 176
Determine s so that -s**4 + 2*s**3 + 35*s**2 = 0.
-5, 0, 7
Determine o so that -2*o**4/3 - 65*o**3/6 - 22*o**2 - 85*o/6 - 7/3 = 0.
-14, -1, -1/4
Factor -28*o**5/3 - 92*o**4/3 - 36*o**3 - 52*o**2/3 - 8*o/3.
-4*o*(o + 1)**3*(7*o + 2)/3
Factor -k**2/4 - 19*k - 75/4.
-(k + 1)*(k + 75)/4
Factor 2*z**2/5 + 38*z/5 - 60.
2*(z - 6)*(z + 25)/5
Factor -2*z**4/9 - 32*z**3/9 + 34*z**2/9.
-2*z**2*(z - 1)*(z + 17)/9
Find v, given that v**2/6 + 58*v + 5046 = 0.
-174
Determine p, given that -3*p**3/7 - 15*p**2/7 - 12*p/7 = 0.
-4, -1, 0
Factor i**2 - 42*i + 441.
(i - 21)**2
Factor f**3 - 97*f**2/3 - 67*f/3 + 11.
(f - 33)*(f + 1)*(3*f - 1)/3
Let 25*p**4 - 265*p**3 + 790*p**2 - 540*p - 360 = 0. Calculate p.
-2/5, 2, 3, 6
Find a such that -2*a**2/9 - 1444*a/3 - 260642 = 0.
-1083
Factor -5*z**3 + 15*z**2 + 30*z - 40.
-5*(z - 4)*(z - 1)*(z + 2)
Suppose -105*v**3 + 8*v**2 + 15*v - 2 = 0. Calculate v.
-2/5, 1/7, 1/3
Solve 3*t**2 - 12*t - 15 = 0.
-1, 5
Let -3*q**3 - 84*q**2 - 663*q - 1014 = 0. Calculate q.
-13, -2
What is a in -a**2 - 218*a + 888 = 0?
-222, 4
Factor 5*r**4/2 + 495*r**3/2.
5*r**3*(r + 99)/2
Solve 3*k**3 + 108*k**2 + 1296*k + 5184 = 0 for k.
-12
Factor -2*u**4/3 + 44*u**3/3 - 40*u**2 + 116*u/3 - 38/3.
-2*(u - 19)*(u - 1)**3/3
What is r in -5*r**4 + 8845*r**3 - 5212650*r**2 + 1021673500*r + 1026895000 = 0?
-1, 590
Solve -36*b**5/5 + 184*b**4/5 - 308*b**3/5 + 176*b**2/5 - 16*b/5 = 0.
0, 1/9, 1, 2
Factor d**3/4 + 5*d**2 + 37*d/4 + 9/2.
(d + 1)**2*(d + 18)/4
Factor 3*l**3 - 84*l**2 - 585*l - 918.
3*(l - 34)*(l + 3)**2
Find t such that 2*t**4/3 + 4*t**3 - 10*t**2/3 - 28*t + 80/3 = 0.
-5, -4, 1, 2
Let 3*k**2 - 12858*k + 13777347 = 0. Calculate k.
2143
Let -12*o**3 - 148*o**2 + 272*o - 112 = 0. Calculate o.
-14, 2/3, 1
Determine m, given that -5*m**5 - 532*m**4 - 14252*m**3 - 5086*m**2 + 14257*m + 5618 = 0.
-53, -1, -2/5, 1
Find f such that 5*f**3 + 115*f**2 + 100*f - 220 = 0.
-22, -2, 1
Let -n**4 + 31*n**3 + 33*n**2 - 31*n - 32 = 0. Calculate n.
-1, 1, 32
What is q in -q**5/6 - 25