p**2 + 769*p.
-p*(p - 1)*(p + 769)
Factor -p**2 + 17*p - 16.
-(p - 16)*(p - 1)
What is s in -52*s**2 + 304*s - 220 = 0?
11/13, 5
Factor 2*g**3/7 + 12*g**2/7 - 8*g/7 - 48/7.
2*(g - 2)*(g + 2)*(g + 6)/7
Find a such that 5*a**3/4 + 15*a**2/2 + 15*a + 10 = 0.
-2
Determine b, given that -b**3/3 - 392*b**2/3 - 38021*b/3 + 77618/3 = 0.
-197, 2
Factor -4*i**2 + 1020*i - 2024.
-4*(i - 253)*(i - 2)
Factor -i**2 + 198*i.
-i*(i - 198)
Factor -4*y**3 - 92*y**2.
-4*y**2*(y + 23)
Suppose 4*v**4 - 2952*v**3 - 2960*v**2 + 2952*v + 2956 = 0. Calculate v.
-1, 1, 739
Find s, given that 4*s**5/5 - 202*s**4/5 + 292*s**3/5 + 104*s**2/5 - 296*s/5 + 98/5 = 0.
-1, 1/2, 1, 49
What is v in -5*v**5 - 555*v**4 - 6120*v**3 - 17820*v**2 = 0?
-99, -6, 0
Factor -2*l**5/15 + 8*l**4/5 - 6*l**3 + 20*l**2/3.
-2*l**2*(l - 5)**2*(l - 2)/15
Find o such that 2*o**2/9 - 128*o/9 = 0.
0, 64
Suppose h**5/4 + h**4 - 2*h**3 - 5*h**2/2 + 23*h/4 - 5/2 = 0. What is h?
-5, -2, 1
What is s in -2*s**4/3 - 20*s**3/3 - 26*s**2/3 + 40*s - 24 = 0?
-6, 1
Let b**3 + 104*b**2 - 211*b + 106 = 0. What is b?
-106, 1
Factor -2*j**2/9 - 8*j/3 + 56/9.
-2*(j - 2)*(j + 14)/9
Find d, given that 18*d**5/5 + 42*d**4/5 - 364*d**3/5 - 248*d**2 - 1136*d/5 - 64 = 0.
-4, -2, -2/3, 5
Let 5*l**2 - 43970*l + 96668045 = 0. What is l?
4397
Factor 3*o**3/2 - 27*o**2/2 - 18*o + 30.
3*(o - 10)*(o - 1)*(o + 2)/2
Suppose 4*n**5 + 216*n**4 + 3504*n**3 + 16160*n**2 + 29184*n + 18432 = 0. Calculate n.
-24, -2
Find m such that -m**5/2 + 21*m**4/2 - 87*m**3/2 + 115*m**2/2 - 24*m = 0.
0, 1, 3, 16
Find d such that 3*d**5 - 18*d**4/5 - 417*d**3/5 - 216*d**2/5 + 156*d - 144/5 = 0.
-4, -2, 1/5, 1, 6
Factor -s**5 + 16*s**4 + 18*s**3 - 16*s**2 - 17*s.
-s*(s - 17)*(s - 1)*(s + 1)**2
Determine j, given that -20*j**3 - 1504*j**2 + 9420*j + 1944 = 0.
-81, -1/5, 6
Let -u**2 + 30*u - 29 = 0. What is u?
1, 29
Suppose 2*s**2/9 - 4*s/9 - 2/3 = 0. Calculate s.
-1, 3
Factor 3*r**4/8 - 63*r**3/4 + 837*r**2/8 - 357*r/4.
3*r*(r - 34)*(r - 7)*(r - 1)/8
What is y in 4*y**5 + 120*y**4 + 900*y**3 = 0?
-15, 0
Factor 5*b**4 + 50*b**3 + 45*b**2.
5*b**2*(b + 1)*(b + 9)
Determine g, given that 78*g**5 - 316*g**4 - 1388*g**3 - 1488*g**2 - 466*g + 28 = 0.
-1, 2/39, 7
Suppose 3*z**3 + 72*z**2 + 483*z + 882 = 0. Calculate z.
-14, -7, -3
Suppose -446*w**4 - 1328*w**3 - 1308*w**2 - 416*w + 10 = 0. Calculate w.
-1, 5/223
Factor -14*v**2 - 12*v - 18/7.
-2*(7*v + 3)**2/7
Solve -14*d**2/23 - 4*d/23 = 0 for d.
-2/7, 0
Let 14*f**3 - 276*f**2 + 424*f + 144 = 0. Calculate f.
-2/7, 2, 18
Factor -2*h**3 + 12*h**2 + 74*h + 60.
-2*(h - 10)*(h + 1)*(h + 3)
Suppose l**3 - 62*l**2 + 800*l - 2944 = 0. Calculate l.
8, 46
Determine n so that -2187*n**3 - 4455*n**2 - 2856*n - 588 = 0.
-1, -14/27
Factor 3*j**3/7 - 72*j**2/7 - 324*j/7 - 48.
3*(j - 28)*(j + 2)**2/7
Suppose -2*n**3 - 102*n**2 - 88*n + 600 = 0. What is n?
-50, -3, 2
Factor v**5/4 - 5*v**4/2 + 9*v**3 - 27*v**2/2 + 27*v/4.
v*(v - 3)**3*(v - 1)/4
Factor -2*w**2/13 - 40*w/13 - 38/13.
-2*(w + 1)*(w + 19)/13
Factor -5*a**2/2 - 83*a - 341/2.
-(a + 31)*(5*a + 11)/2
Suppose y**4/5 + 21*y**3/5 - 421*y**2/5 - 8421*y/5 + 1764 = 0. What is y?
-21, 1, 20
Factor -3*q**2/7 + 99*q/7 - 270/7.
-3*(q - 30)*(q - 3)/7
Solve -2*q**4/3 + 16*q**3/3 - 22*q**2/3 - 16*q/3 + 8 = 0 for q.
-1, 1, 2, 6
Factor -4*c**3 - 328*c**2 - 1556*c - 1232.
-4*(c + 1)*(c + 4)*(c + 77)
Let 3*x**4/5 + 1104*x**3 + 2544714*x**2/5 + 1014576*x + 2533683/5 = 0. Calculate x.
-919, -1
What is d in -d**3/6 - 8*d**2/3 - 13*d/6 + 5 = 0?
-15, -2, 1
Let -10*l**5/3 + 3164*l**4/3 - 16874*l**3/3 + 24904*l**2/3 - 2488*l = 0. What is l?
0, 2/5, 2, 3, 311
Factor -3*g**2 - 90*g - 243.
-3*(g + 3)*(g + 27)
Factor 24*g**3/7 + 81*g**2/7 - 162*g/7 - 81.
3*(g + 3)**2*(8*g - 21)/7
Solve 2*m**3/11 + 36*m**2/11 - 720*m/11 = 0 for m.
-30, 0, 12
Solve 4*a**4 - 1360*a**3 + 151800*a**2 - 5290000*a - 30417500 = 0 for a.
-5, 115
Let w**3/8 - 73*w**2/8 - w/8 + 73/8 = 0. Calculate w.
-1, 1, 73
Find d such that 3*d**2/4 - 105*d/4 = 0.
0, 35
Factor -8*f**3/7 - 4040*f**2/7 + 578*f - 1012/7.
-2*(f + 506)*(2*f - 1)**2/7
Determine r, given that -15*r**2 + 70*r - 55 = 0.
1, 11/3
Let 3*z**4 - 150*z**3 - 3*z**2 + 150*z = 0. Calculate z.
-1, 0, 1, 50
Factor -15*o**2 + 12*o + 27.
-3*(o + 1)*(5*o - 9)
Solve h**4/2 - 3*h**3/2 + h**2/2 + 3*h/2 - 1 = 0 for h.
-1, 1, 2
Factor 2*t**5/3 + 6*t**4 + 10*t**3 - 50*t**2/3.
2*t**2*(t - 1)*(t + 5)**2/3
Factor -q**3/3 + 2*q**2/3 + 31*q/3 + 28/3.
-(q - 7)*(q + 1)*(q + 4)/3
Factor -5*v**2/3 + 680*v + 2045/3.
-5*(v - 409)*(v + 1)/3
Find m such that 15*m**4/4 + 13437*m**3/2 + 12058323*m**2/4 + 4800780*m - 2403075 = 0.
-895, -2, 2/5
Let -33*j**5/2 - 93*j**4/2 - 15*j**3/2 + 105*j**2/2 + 24*j - 6 = 0. Calculate j.
-2, -1, 2/11, 1
Solve 18*j**2/5 + 62*j/5 - 16 = 0 for j.
-40/9, 1
Suppose -2*t**4/3 + 1732*t**3/3 - 124992*t**2 - 1732*t/3 + 374978/3 = 0. Calculate t.
-1, 1, 433
Factor -c**3/6 - 18*c**2 - 106*c/3.
-c*(c + 2)*(c + 106)/6
Factor 3*v**3/7 - 810*v**2/7 + 72900*v/7 - 2187000/7.
3*(v - 90)**3/7
Solve -q**4 - 4*q**3 - q**2 + 6*q = 0 for q.
-3, -2, 0, 1
Factor 2*t**4/15 + 112*t**3/15 + 592*t**2/5 + 5824*t/15 + 5408/15.
2*(t + 2)**2*(t + 26)**2/15
Factor -k**4/5 + 6*k**2/5 - 8*k/5 + 3/5.
-(k - 1)**3*(k + 3)/5
Solve -194*r**2 - 16*r = 0.
-8/97, 0
Solve 5*j**2 + 4145*j - 8310 = 0.
-831, 2
Suppose 4*o**4/15 - 54*o**3/5 + 16*o**2/3 = 0. What is o?
0, 1/2, 40
Factor 3*o**5 + 90*o**4 + 675*o**3.
3*o**3*(o + 15)**2
Factor -2*g**3/21 - 164*g**2/21 - 2392*g/21 + 42320/21.
-2*(g - 10)*(g + 46)**2/21
What is y in -y**3/3 + 7*y**2/3 + 41*y/3 + 11 = 0?
-3, -1, 11
Solve -4*r**2 - 7808*r - 3810304 = 0 for r.
-976
Let -2*u**3/11 - 72*u**2/11 + 13824/11 = 0. What is u?
-24, 12
Determine c, given that c**5/5 - 2*c**4/5 - 6*c**3/5 + 8*c**2/5 + c - 6/5 = 0.
-2, -1, 1, 3
Determine w so that 3*w**2 + 3912*w + 1275312 = 0.
-652
What is c in -10*c**4/11 - 56*c**3/11 + 34*c**2/11 + 56*c/11 - 24/11 = 0?
-6, -1, 2/5, 1
Let -5*t**5 + 245*t**4 + 255*t**3 - 245*t**2 - 250*t = 0. What is t?
-1, 0, 1, 50
Let -p**2/4 - 1201*p/4 = 0. Calculate p.
-1201, 0
What is s in -5*s**2 - 135*s + 990 = 0?
-33, 6
Find u, given that -2*u**4/7 - 6*u**3/7 + 10*u**2/7 + 6*u/7 - 8/7 = 0.
-4, -1, 1
Determine u, given that -u**2 - 12*u + 28 = 0.
-14, 2
Let -65522*l**2/13 - 31856*l/13 - 3872/13 = 0. What is l?
-44/181
Let -2*d**5/7 - 2*d**4 - 22*d**3/7 + 2*d**2 + 24*d/7 = 0. What is d?
-4, -3, -1, 0, 1
Determine r, given that -3*r**5/5 + 6*r**4/5 + 3*r**3 - 18*r**2/5 = 0.
-2, 0, 1, 3
Factor -5*y**4 + 110*y**3 - 285*y**2 - 20*y + 380.
-5*(y - 19)*(y - 2)**2*(y + 1)
Factor 3*d**3/4 + 42*d**2 + 1455*d/4 + 1725/2.
3*(d + 5)**2*(d + 46)/4
Factor -2350*s**3 - 2355*s**2 - 5*s.
-5*s*(s + 1)*(470*s + 1)
Determine j so that -j**2/7 - 80*j/7 - 304/7 = 0.
-76, -4
Let 1587*r**4 + 27807*r**3 + 39576*r**2 + 15084*r + 1728 = 0. Calculate r.
-16, -1, -6/23
Find i, given that -i**3 - 162*i**2 - 320*i = 0.
-160, -2, 0
What is r in 5*r**5/4 - 45*r**3/4 + 5*r**2 + 15*r = 0?
-3, -1, 0, 2
Let -3*w**5/8 + 3*w**4/2 - 3*w**3/2 - 3*w**2/4 + 15*w/8 - 3/4 = 0. Calculate w.
-1, 1, 2
Factor 3*r**5 + 1017*r**4 + 85680*r**3 - 86700*r**2.
3*r**2*(r - 1)*(r + 170)**2
Let 2*v**4/3 - 106*v**3/3 = 0. What is v?
0, 53
Factor x**5/8 - 11*x**4/4 + 5*x**3 + x**2/4 - 41*x/8 + 5/2.
(x - 20)*(x - 1)**3*(x + 1)/8
Factor 21*d**2/2 + 93*d/8 + 9/8.
3*(d + 1)*(28*d + 3)/8
Solve -4*k**3 + 52*k**2 + 1056*k = 0.
-11, 0, 24
Factor 4*m**2/3 + 92*m/3 + 56.
4*(m + 2)*(m + 21)/3
Factor -r**4 + 35*r**3 + 673*r**2 + 637*r.
-r*(r - 49)*(r + 1)*(r + 13)
Factor a**2/3 + 46*a/3.
a*(a + 46)/3
Find c such that 4*c**5 + 1524*c**4 + 9048*c**3 + 18040*c**2 + 15012*c + 4500 = 0.
-375, -3, -1
Factor 9*u**5 - 12*u**4 - 3*u**3 + 6*u**2.
3*u**2*(u - 1)**2*(3*u + 2)
Factor -5*f**2 + 5*f + 660.
-5*(f - 12)*(f + 11)
Factor 3*d**4/2 - 8*d**3/3 - 31*d**2/6 - d.
d*(d - 3)*(d + 1)*(9*d + 2)/6
Suppose 4*x**4 + 89*x**3 + 22*x**2 = 0. What is x?
-22, -1/4, 0
Factor 2*n**4 + 42*n**3 + 40*n**2.
2*n**2*(n + 1)*(n + 20)
Determine j, given that 6*j**2/19 + 118*j/19 + 4 = 0.
-19, -2/3
Factor t**2 + 239*t.
t*(t + 239)
Solve 5*l**2 + 105*l + 450 = 0 for l.
-15, -6
Factor q**5/2 + q**4/2 - q**3.
q**3*(q - 1)*(q + 2)/2
Suppose -3*d**4 + 21*d**3 + 261*d**2 + 447*d + 210 = 0. Calculate d.
-5, -1, 14
Factor -2*x**3/3 - 100*x**2/3