 = 0.
-6, 1
Factor -f**2 + 317*f - 630.
-(f - 315)*(f - 2)
Find f, given that -2*f**2/3 + 152*f - 8664 = 0.
114
Determine k, given that 4*k**3 + 8*k**2 = 0.
-2, 0
Factor -z**4/9 - 2*z**3 - 12*z**2 - 30*z - 27.
-(z + 3)**3*(z + 9)/9
Suppose -2*w**2/19 + 29312*w/19 - 107399168/19 = 0. Calculate w.
7328
Factor -16*k**2/7 - 52*k + 92/7.
-4*(k + 23)*(4*k - 1)/7
Determine w so that 4*w**5 - 48*w**4 + 192*w**3 - 248*w**2 - 132*w + 360 = 0.
-1, 2, 3, 5
Determine a, given that -a**5 - 15*a**4/2 - 9*a**3/2 + 53*a**2/2 - 9*a/2 - 9 = 0.
-6, -3, -1/2, 1
Suppose -4*j**2 + 13336*j - 11115556 = 0. What is j?
1667
Let -8*q**3/15 - 326*q**2/15 - 238*q/15 + 16/3 = 0. Calculate q.
-40, -1, 1/4
Find g, given that -2*g**4 + 4*g**3 + 14*g**2 + 8*g = 0.
-1, 0, 4
Factor -2*i**2 - 2276*i + 2278.
-2*(i - 1)*(i + 1139)
Find n such that n**4 - 8*n**3 - 31*n**2 - 22*n = 0.
-2, -1, 0, 11
What is r in -4*r**2 + 676*r = 0?
0, 169
Determine j, given that -21*j**5/4 + 113*j**4/4 - 115*j**3/12 - 9*j**2/4 + 5*j/6 = 0.
-2/7, 0, 1/3, 5
Factor -y**3/6 - 4*y**2/3 + 11*y/6 + 3.
-(y - 2)*(y + 1)*(y + 9)/6
Solve -2*r**5/15 - 2*r**4/15 + 2*r**3/5 + 2*r**2/15 - 4*r/15 = 0.
-2, -1, 0, 1
Solve -5*r**4 + 540*r**3 - 9620*r**2 - 267840*r - 1230080 = 0 for r.
-8, 62
What is d in -2*d**4/3 + 295*d**3/6 - 3571*d**2/3 + 28138*d/3 + 2420 = 0?
-1/4, 22, 30
Suppose 3*y**5 - 273*y**4 + 5778*y**3 + 20154*y**2 - 5781*y - 19881 = 0. Calculate y.
-3, -1, 1, 47
Factor 4*z**2 - 128*z + 1024.
4*(z - 16)**2
Determine u so that -3*u**3/4 + 567*u**2/4 - 6768*u + 6627 = 0.
1, 94
Factor -i**3 + 2622*i**2 - 1718721*i.
-i*(i - 1311)**2
Find o, given that 5*o**3 + 240*o**2 + 1300*o + 1680 = 0.
-42, -4, -2
Find c, given that c**2/5 + 26*c/5 + 88/5 = 0.
-22, -4
Find g such that -3*g**5 + 3930*g**4 - 2059320*g**3 + 539541840*g**2 - 70679981040*g + 3703631006496 = 0.
262
Suppose k**4 + 274*k**3 + 272*k**2 - 274*k - 273 = 0. What is k?
-273, -1, 1
Suppose -3*f**2/4 + 51*f/4 - 45/2 = 0. Calculate f.
2, 15
Factor 4*r**4 + 816*r**3 - 4148*r**2 + 6672*r - 3344.
4*(r - 2)**2*(r - 1)*(r + 209)
Factor 45*t**2 - 2240*t - 500.
5*(t - 50)*(9*t + 2)
Find z, given that z**4 - 2*z**3/3 - 4*z**2 + 8*z/3 = 0.
-2, 0, 2/3, 2
Factor 2*o**2/3 - 8*o/3.
2*o*(o - 4)/3
Let 4*r**3/7 - 416*r**2/7 + 11220*r/7 - 20808/7 = 0. What is r?
2, 51
Suppose s**4/2 + 77*s**3 + 2964*s**2 - 77*s - 5929/2 = 0. What is s?
-77, -1, 1
Factor 10*i**3 + 185*i**2 - 100*i - 95.
5*(i - 1)*(i + 19)*(2*i + 1)
Let -2*f**5/19 + 36*f**4/19 - 96*f**3/19 + 92*f**2/19 - 30*f/19 = 0. What is f?
0, 1, 15
Factor -2*p**2 + 334*p + 676.
-2*(p - 169)*(p + 2)
Suppose -2*s**2 - 196*s = 0. What is s?
-98, 0
Determine p so that 2*p**2 = 0.
0
Determine t so that 6*t**4 - 27*t**3 + 12*t**2 + 63*t - 54 = 0.
-3/2, 1, 2, 3
Factor -2*n**3/13 - 46*n**2/13 - 84*n/13.
-2*n*(n + 2)*(n + 21)/13
Suppose v**4/6 + 15*v**3/2 + 189*v**2/2 + 441*v/2 = 0. What is v?
-21, -3, 0
Suppose -3*r**5 - 21*r**4 - 27*r**3 + 21*r**2 + 30*r = 0. What is r?
-5, -2, -1, 0, 1
Factor -4*c**3 + 56*c**2 + 59*c + 15.
-(c - 15)*(2*c + 1)**2
Factor -3*h**3/2 + 21*h/2 + 9.
-3*(h - 3)*(h + 1)*(h + 2)/2
Solve 44*c**4 + 184*c**3 - 452*c**2 + 176*c + 48 = 0.
-6, -2/11, 1
Factor -4*x**5 - 112*x**4 + 236*x**3 - 120*x**2.
-4*x**2*(x - 1)**2*(x + 30)
Factor -2*q**5 + 4*q**4 + 16*q**3 + 4*q**2 - 14*q - 8.
-2*(q - 4)*(q - 1)*(q + 1)**3
Determine t, given that -5*t**2 + 1945*t + 3910 = 0.
-2, 391
Solve 2*t**2/9 - 160*t/9 + 142 = 0 for t.
9, 71
Factor -3*n**3 + 60*n**2 - 51*n - 114.
-3*(n - 19)*(n - 2)*(n + 1)
Factor 2*l**3/13 - 12756*l**2/13 + 27119256*l/13 - 19218512752/13.
2*(l - 2126)**3/13
Factor 2*k**4/15 + 74*k**3/15 - 166*k**2/5 + 258*k/5.
2*k*(k - 3)**2*(k + 43)/15
Find n such that 2*n**2/7 - 26*n/7 + 72/7 = 0.
4, 9
Find i such that 2*i**5/9 + 4*i**4/3 - 22*i**3/9 - 40*i**2/3 + 200*i/9 = 0.
-5, 0, 2
Factor -4*s**3/5 - 9084*s**2/5 - 1032396*s - 1030580.
-4*(s + 1)*(s + 1135)**2/5
Factor -4*k**5 + 40*k**4 - 280*k**2 - 380*k - 144.
-4*(k - 9)*(k - 4)*(k + 1)**3
Factor -4*q**3 - 64*q**2 - 192*q.
-4*q*(q + 4)*(q + 12)
Determine m so that 5*m**3 + 120*m**2 + 900*m + 2000 = 0.
-10, -4
Factor q**3 + 140*q**2 + 4900*q.
q*(q + 70)**2
Factor -2*g**3 + 176*g**2 - 970*g - 1148.
-2*(g - 82)*(g - 7)*(g + 1)
Solve 3*z**2/8 - 969*z/2 + 312987/2 = 0 for z.
646
Suppose 2*r**3 + 28*r**2 - 62*r + 32 = 0. What is r?
-16, 1
Factor -n**4/5 + 4*n**3/5 + n**2/5 - 4*n/5.
-n*(n - 4)*(n - 1)*(n + 1)/5
Find c, given that 31*c**4 - 170*c**3/3 - 37*c**2/3 + 10*c/3 = 0.
-1/3, 0, 5/31, 2
Factor -9*i**4 + 384*i**3 + 129*i**2.
-3*i**2*(i - 43)*(3*i + 1)
Factor -j**3 + 27*j**2 - 96*j + 92.
-(j - 23)*(j - 2)**2
Factor s**5/2 + 5*s**4/2 - 11*s**3 + 8*s**2.
s**2*(s - 2)*(s - 1)*(s + 8)/2
Factor -2*z**3 + 296*z**2 - 290*z - 588.
-2*(z - 147)*(z - 2)*(z + 1)
Suppose 8*m**4/13 + 4792*m**3/13 - 9606*m**2/13 + 6008*m/13 - 1202/13 = 0. Calculate m.
-601, 1/2, 1
Suppose 3*p**3/4 + 663*p**2/2 + 1323*p/4 = 0. Calculate p.
-441, -1, 0
Factor -3*t**4 - 102*t**3 - 447*t**2 - 348*t.
-3*t*(t + 1)*(t + 4)*(t + 29)
Let 9*i**2 - 43*i - 10 = 0. What is i?
-2/9, 5
Factor o**5 - 5*o**4 - 3*o**3 + 17*o**2 - 10*o.
o*(o - 5)*(o - 1)**2*(o + 2)
Factor -p**2 + 4*p + 117.
-(p - 13)*(p + 9)
Factor 80*j**4 + 600*j**3 + 765*j**2 + 270*j.
5*j*(j + 6)*(4*j + 3)**2
Factor -5*y**3 - 135*y**2 + 4280*y - 4140.
-5*(y - 18)*(y - 1)*(y + 46)
Solve -5*a**4/4 + 5*a**3 - 15*a**2/2 + 5*a - 5/4 = 0 for a.
1
Factor r**3/3 + 509*r**2/3 + 508*r/3.
r*(r + 1)*(r + 508)/3
Determine p so that -p**2/5 + 22*p/5 - 57/5 = 0.
3, 19
Find s, given that 4*s**2/5 + 656*s/5 = 0.
-164, 0
Find a, given that -52*a**2/9 + 380*a/9 - 200/3 = 0.
30/13, 5
Factor -2*z**4 + 770*z**3 - 99072*z**2 + 4292608*z - 4194304.
-2*(z - 128)**3*(z - 1)
Factor -5*l**2 - 110*l - 105.
-5*(l + 1)*(l + 21)
Factor -p**2/9 + 388*p/9 + 391/3.
-(p - 391)*(p + 3)/9
Solve -3*h**5/4 + 12*h**4 + 36*h**3 - 345*h**2/2 + 771*h/4 - 135/2 = 0 for h.
-5, 1, 18
Solve k**3/3 - 65*k**2 - 131*k - 197/3 = 0 for k.
-1, 197
Determine j so that 2*j**2 + 34*j - 868 = 0.
-31, 14
Solve 5*z**4 + 280*z**3 + 4995*z**2 + 26180*z - 31460 = 0.
-22, -13, 1
Find v, given that 3*v**2 - 78*v - 1521 = 0.
-13, 39
Solve 8*h**5/5 + 51*h**4/5 + 58*h**3/5 - 81*h**2/5 - 36*h/5 = 0.
-4, -3, -3/8, 0, 1
Factor n**2/2 - 7*n/2 - 4.
(n - 8)*(n + 1)/2
Factor -v**4 + 24*v**3 - 178*v**2 + 336*v + 539.
-(v - 11)*(v - 7)**2*(v + 1)
Solve -2*l**3/11 - 4*l**2 + 146*l/11 - 100/11 = 0 for l.
-25, 1, 2
Factor 3*y**2/5 + 9*y/5 - 6.
3*(y - 2)*(y + 5)/5
Factor 4*k**5 - 552*k**4 + 27608*k**3 - 585152*k**2 + 4417668*k - 3859576.
4*(k - 41)**3*(k - 14)*(k - 1)
Suppose 3*i**4/2 + 63*i**3/2 + 405*i**2/2 + 1053*i/2 + 486 = 0. Calculate i.
-12, -3
Find x such that 2*x**5/3 + 22*x**4/3 + 30*x**3 + 54*x**2 + 36*x = 0.
-3, -2, 0
Suppose 34*x**2/13 + 28*x/13 = 0. Calculate x.
-14/17, 0
Factor -h**3/2 - 63*h**2/2 - 120*h - 118.
-(h + 2)**2*(h + 59)/2
Let -2*n**5 + 6*n**4 + 26*n**3 - 30*n**2 = 0. Calculate n.
-3, 0, 1, 5
Solve 5*q**2 + 13*q + 6 = 0 for q.
-2, -3/5
Let 3*k**2 - 2157*k = 0. Calculate k.
0, 719
Let 5*z**2 + 300*z + 295 = 0. Calculate z.
-59, -1
Factor -3*z**4 - 6*z**3 + 57*z**2 + 60*z.
-3*z*(z - 4)*(z + 1)*(z + 5)
Factor 2*f**4 + 6*f**3 - 8*f**2 - 24*f.
2*f*(f - 2)*(f + 2)*(f + 3)
Determine j, given that -3*j**4 - 81*j**3 - 342*j**2 - 264*j = 0.
-22, -4, -1, 0
Factor -d**3/4 - 57*d**2/4 - 14*d.
-d*(d + 1)*(d + 56)/4
Factor 2*x**4/15 + 5792*x**3/5 + 18870336*x**2/5 + 27324246528*x/5 + 14837065864704/5.
2*(x + 2172)**4/15
Factor 3*x**4 - 78*x**3 - 864*x**2 + 38400*x - 270336.
3*(x - 16)**3*(x + 22)
Let -2*g**2 - 156*g + 656 = 0. Calculate g.
-82, 4
Let 2*h**4 - 30*h**3 - 32*h**2 + 480*h = 0. What is h?
-4, 0, 4, 15
Factor -3*a**2 + 516*a - 22188.
-3*(a - 86)**2
Factor 25*x**4 - 885*x**3 + 351*x**2 - 35*x.
x*(x - 35)*(5*x - 1)**2
Find q, given that -13*q**2 + 31*q + 24 = 0.
-8/13, 3
Factor -3*h**5 - 468*h**4 - 19602*h**3 - 105300*h**2 - 151875*h.
-3*h*(h + 3)**2*(h + 75)**2
Factor -t**2/7 + 4239*t/7 - 4238/7.
-(t - 4238)*(t - 1)/7
Solve 2*h**3/15 - 8*h**2/5 + 2*h/3 + 44/5 = 0 for h.
-2, 3, 11
Factor -q**5 + 4*q**4 + 10*q**3 - 28*q**2 + 15*q.
-q*(q - 5)*(q - 1)**2*(q + 3)
Factor 2*w**4/5 + 8*w**3/5 + 2*w**2 + 4*w/5.
2*w*(w + 1)**2*(w + 2)/5
Factor 2*x**2/11 - 412*x/11 + 816/11.
2*(x - 204)*(x - 2)/11
Factor 