= 0. What is j?
-632, 1
Find o such that 2*o**4 - 908*o**3 + 104858*o**2 - 408600*o + 405000 = 0.
2, 225
Let p**2 - 698*p + 697 = 0. Calculate p.
1, 697
Solve -4*y**3 + 156*y**2 + 324*y + 164 = 0 for y.
-1, 41
Factor -r**3/5 + 721*r**2/5 + r/5 - 721/5.
-(r - 721)*(r - 1)*(r + 1)/5
Factor -3*m**4 + 255*m**3 - 6012*m**2 + 24960*m - 19200.
-3*(m - 40)**2*(m - 4)*(m - 1)
Solve n**4 - 41*n**3 + 352*n**2 + 1452*n = 0.
-3, 0, 22
Factor -1568*f**2/9 + 5936*f/3 - 5618.
-2*(28*f - 159)**2/9
Factor -2*y**5/7 - 8*y**4/7 - 6*y**3/7.
-2*y**3*(y + 1)*(y + 3)/7
Factor 2*q**2/13 + 864*q/13 - 2610/13.
2*(q - 3)*(q + 435)/13
Determine c so that 2*c**4 + 8*c**3 + 6*c**2 = 0.
-3, -1, 0
Suppose -25*d**4 + 315*d**3 - 720*d**2 - 1540*d - 480 = 0. Calculate d.
-1, -2/5, 6, 8
Suppose -2*b**3 + 17*b**2/4 + 59*b/2 - 15/4 = 0. What is b?
-3, 1/8, 5
Factor 2*v**4/7 + 2*v**3/7.
2*v**3*(v + 1)/7
Factor 4*s**5 + 8*s**4 - 116*s**3 + 184*s**2 + 80*s - 224.
4*(s - 2)**3*(s + 1)*(s + 7)
Find j, given that 2*j**5 + 58*j**4 - 4*j**3 - 116*j**2 + 2*j + 58 = 0.
-29, -1, 1
Factor -2*k**4/3 + 10*k**3/3.
-2*k**3*(k - 5)/3
Factor j**3 + 25*j**2.
j**2*(j + 25)
What is r in 2*r**2 + 294*r + 580 = 0?
-145, -2
Factor 3*x**2/2 - 66*x - 135/2.
3*(x - 45)*(x + 1)/2
Factor 65*m**4/3 - 197*m**3/3 + 67*m**2 - 71*m/3 + 2/3.
(m - 1)**3*(65*m - 2)/3
Solve -5*c**4 - 35*c**3 - 25*c**2 + 155*c + 150 = 0 for c.
-5, -3, -1, 2
Factor -3*t**4 - 27*t**3 - 24*t**2.
-3*t**2*(t + 1)*(t + 8)
Determine z, given that -8*z**5 + 236*z**4 - 1660*z**3 - 1508*z**2 + 4740*z - 1800 = 0.
-2, 1/2, 1, 15
Factor -9*l**4/5 - 16*l**3/5 + 11*l**2/5 + 14*l/5.
-l*(l - 1)*(l + 2)*(9*l + 7)/5
Factor -7*v**2 + 432*v + 124.
-(v - 62)*(7*v + 2)
Solve 3888*m**3 + 35208*m**2 + 1947*m + 27 = 0 for m.
-9, -1/36
Factor 2*z**2/23 - 3638*z/23.
2*z*(z - 1819)/23
Factor -52*a**5 - 12*a**4 + 132*a**3 + 92*a**2.
-4*a**2*(a + 1)**2*(13*a - 23)
Solve 4*z**4/3 - 20*z**3 + 28*z**2 + 284*z/3 - 104 = 0.
-2, 1, 3, 13
Factor 9*j**3 + 267*j**2 + 876*j + 468.
3*(j + 3)*(j + 26)*(3*j + 2)
Determine d, given that -2*d**2/9 - 244*d/3 - 7442 = 0.
-183
Find i, given that -483*i**4 + 12078*i**3/5 + 141*i**2/5 - 792*i/5 + 12 = 0.
-2/7, 2/23, 1/5, 5
What is y in -18*y**3 - 15*y**2 + 42*y = 0?
-2, 0, 7/6
Factor -y**5/8 + y**4 - 13*y**3/8 + 3*y**2/4.
-y**2*(y - 6)*(y - 1)**2/8
Let -2*u**4/11 - 156*u**3/11 - 2538*u**2/11 + 19656*u/11 - 31752/11 = 0. Calculate u.
-42, 3
Solve 3*w**3 + 9*w**2 - 18*w - 24 = 0.
-4, -1, 2
Find i such that -i**2/4 - 3*i + 16 = 0.
-16, 4
Find a, given that 2*a**2/5 + 2616*a + 4277160 = 0.
-3270
Factor y**4/5 + 4*y**3/5 - 3*y**2/5 - 2*y + 8/5.
(y - 1)**2*(y + 2)*(y + 4)/5
Factor -2*k**3/11 - 16*k**2/11 - 34*k/11 - 20/11.
-2*(k + 1)*(k + 2)*(k + 5)/11
Let 364*o**3/3 - 8*o**2/3 - 32*o/3 = 0. What is o?
-2/7, 0, 4/13
Solve 49923*f**2 - 5418*f + 147 = 0.
7/129
Factor -44*f**2 - 116*f - 72.
-4*(f + 1)*(11*f + 18)
Solve 2*o**2/15 + 106*o/15 + 104/15 = 0.
-52, -1
Solve -16*z**5/7 + 284*z**4/7 + 88*z**3/7 - 284*z**2/7 - 72*z/7 = 0 for z.
-1, -1/4, 0, 1, 18
Determine p so that -p**2 + 379*p - 754 = 0.
2, 377
What is b in 3*b**2/8 + 183*b/8 + 1287/4 = 0?
-39, -22
Determine s, given that -2*s**4/3 - 12*s**3 - 206*s**2/3 - 132*s - 224/3 = 0.
-8, -7, -2, -1
Let -4*o**4/7 + 72*o**3/7 - 276*o**2/7 + 208*o/7 = 0. What is o?
0, 1, 4, 13
Find i such that 5*i**4 - 270*i**3 + 2360*i**2 + 36270*i + 33635 = 0.
-7, -1, 31
Determine a, given that 3*a**4/5 - 9*a**3/5 - 342*a**2/5 - 624*a/5 = 0.
-8, -2, 0, 13
Factor -4*b**2 - 8024*b + 8028.
-4*(b - 1)*(b + 2007)
Determine d, given that 2*d**5/9 - 2*d**4/9 - 50*d**3/3 - 286*d**2/9 - 140*d/9 = 0.
-7, -1, 0, 10
Factor 93*w**2/4 - 645*w/4 - 21/2.
3*(w - 7)*(31*w + 2)/4
Determine d so that 2*d**2 + 84*d + 832 = 0.
-26, -16
Solve 3*w**5/4 + 33*w**4/2 + 144*w**3 + 624*w**2 + 1344*w + 1152 = 0.
-6, -4
Factor 100*w**3 - 85*w**2 + 15*w.
5*w*(4*w - 1)*(5*w - 3)
Factor 5*o**2 - 32110*o + 51552605.
5*(o - 3211)**2
Factor -3*k**2/5 + 237*k/5.
-3*k*(k - 79)/5
Let -5*n**5 - 4690*n**4 - 1099790*n**3 + 14080*n**2 + 3308795*n + 2199610 = 0. Calculate n.
-469, -1, 2
Suppose 5*b**3 - 30*b**2 = 0. Calculate b.
0, 6
Factor c**4/4 + 55*c**3 + 4200*c**2 + 122500*c + 857500.
(c + 10)*(c + 70)**3/4
Find t such that 5*t**4 - 215*t**3 - 445*t**2 - 225*t = 0.
-1, 0, 45
Factor -2*m**5 - 240*m**4 - 238*m**3.
-2*m**3*(m + 1)*(m + 119)
Factor h**2/4 + 289*h/4 - 291/2.
(h - 2)*(h + 291)/4
Factor 3*k**2 + 90*k - 2025.
3*(k - 15)*(k + 45)
Let 2*p**3 + 120*p**2 - 126*p - 244 = 0. Calculate p.
-61, -1, 2
What is a in 21*a**3 - 468*a**2 - 351*a + 138 = 0?
-1, 2/7, 23
Factor -h**3/2 + 12*h**2 - 125*h/2 + 51.
-(h - 17)*(h - 6)*(h - 1)/2
Suppose k**5 = 0. Calculate k.
0
Let -5*t**3 + 40*t**2 - 25*t - 250 = 0. Calculate t.
-2, 5
Factor 12*a**3 + 248*a**2 + 996*a - 360.
4*(a + 6)*(a + 15)*(3*a - 1)
Factor 2*k**4 + 940*k**3 + 112306*k**2 + 434312*k.
2*k*(k + 4)*(k + 233)**2
Factor -4*l**5 + 48*l**4 - 120*l**3 + 112*l**2 - 36*l.
-4*l*(l - 9)*(l - 1)**3
Factor 3*s**4/5 + 12*s**3/5 - 9*s**2/5 - 42*s/5 - 24/5.
3*(s - 2)*(s + 1)**2*(s + 4)/5
Factor z**3/2 - 33*z**2/2.
z**2*(z - 33)/2
Factor 2*s**3 + 344*s**2 - 2880*s.
2*s*(s - 8)*(s + 180)
Suppose 4*w**3/5 - 28*w**2/5 - 8*w + 64/5 = 0. What is w?
-2, 1, 8
Factor -2*q**2 + 28*q + 64.
-2*(q - 16)*(q + 2)
Let -5*f**3 + 105*f**2 + 350*f + 240 = 0. Calculate f.
-2, -1, 24
Factor -2*t**2/9 - 296*t/9 - 584/9.
-2*(t + 2)*(t + 146)/9
Factor -3*x**2/2 - 9420*x - 14789400.
-3*(x + 3140)**2/2
Determine k, given that k**3/6 + 5*k**2/3 + 23*k/6 + 7/3 = 0.
-7, -2, -1
Factor 2*k**3/3 + 286*k**2/3 + 10366*k/3 + 10082/3.
2*(k + 1)*(k + 71)**2/3
Determine o, given that -2*o**4/13 + 36*o**3/13 + 2*o**2/13 - 36*o/13 = 0.
-1, 0, 1, 18
Solve -d**5 + 35*d**4 - 352*d**3 + 296*d**2 + 6608*d + 8624 = 0.
-2, 11, 14
Let b**3/8 - 7*b**2/8 - b/8 + 7/8 = 0. What is b?
-1, 1, 7
Factor -2*b**2/5 + 1696*b/5 - 359552/5.
-2*(b - 424)**2/5
Factor 2*y**3/11 + 60*y**2/11 - 414*y/11 - 16928/11.
2*(y - 16)*(y + 23)**2/11
Factor a**3/2 + 11*a**2 - 47*a/2 + 12.
(a - 1)**2*(a + 24)/2
Factor 3*j**3 - 6*j**2 - 9*j.
3*j*(j - 3)*(j + 1)
What is q in -196*q**5 - 588*q**4 + 16*q**3 + 832*q**2 - 64 = 0?
-2, -2/7, 2/7, 1
Suppose -405*r**4 - 63000*r**3 + 28060*r**2 - 3120*r = 0. What is r?
-156, 0, 2/9
Factor 5*j**2 + 15*j - 50.
5*(j - 2)*(j + 5)
Factor g**5/4 - g**4 - 23*g**3/4 + 19*g**2/2 + 55*g + 50.
(g - 5)**2*(g + 2)**3/4
Factor 20*p**2 - 14*p + 2.
2*(2*p - 1)*(5*p - 1)
Solve v**4/5 - 107*v**3/5 - 3*v**2/5 + 323*v/5 - 214/5 = 0 for v.
-2, 1, 107
What is r in 3*r**2/8 + 57*r/8 = 0?
-19, 0
Suppose 3*t**4 - 36*t**3 + 111*t**2 - 126*t + 48 = 0. What is t?
1, 2, 8
Let 5*p**3 - 5*p**2 - 185*p - 175 = 0. What is p?
-5, -1, 7
Factor 2*q**2/19 - 156*q/19.
2*q*(q - 78)/19
Factor 2*y**3/11 - 80*y**2/11.
2*y**2*(y - 40)/11
Determine g, given that 7*g**2/5 + 13*g/5 - 2/5 = 0.
-2, 1/7
Solve v**4/2 + 25*v**3 - 263*v**2/2 - 11100*v + 98568 = 0 for v.
-37, 12
Factor 3*f**4 + 12*f**3 - 144*f**2 + 336*f - 240.
3*(f - 2)**3*(f + 10)
Let 2*i**3 - 1096*i**2 + 2184*i = 0. Calculate i.
0, 2, 546
Factor -3*a**3 + 48*a**2 + 12*a - 192.
-3*(a - 16)*(a - 2)*(a + 2)
Factor -2*i**4/7 + 36*i**3/7 - 66*i**2/7 + 32*i/7.
-2*i*(i - 16)*(i - 1)**2/7
Factor -5*u**4 - 220*u**3 - 1940*u**2 + 10560*u - 11520.
-5*(u - 2)**2*(u + 24)**2
Factor 5*w**2 + 15*w - 20.
5*(w - 1)*(w + 4)
What is z in -20*z**4/3 - 44*z**3/3 + 52*z**2/3 + 4*z = 0?
-3, -1/5, 0, 1
Let 3*p**2 + 10437*p = 0. Calculate p.
-3479, 0
Factor 2*t**2/7 - 948*t/7 + 946/7.
2*(t - 473)*(t - 1)/7
Factor -5*g**4 + 20*g**3 + 160*g**2.
-5*g**2*(g - 8)*(g + 4)
Factor -7*w**2/9 + 13*w + 34/9.
-(w - 17)*(7*w + 2)/9
Solve -m**3/2 - 31*m**2/3 + 46*m/3 + 44/3 = 0 for m.
-22, -2/3, 2
Factor -15*n**2 - 230*n + 160.
-5*(n + 16)*(3*n - 2)
Factor -3*v**3/4 + 39*v**2/2 + 3*v/4 - 39/2.
-3*(v - 26)*(v - 1)*(v + 1)/4
What is x in 3*x**5/5 - 66*x**4/5 + 273*x**3/5 - 294*x**2/5 - 228*x/5 + 408/5 = 0?
-1, 2, 17
Solve -35*h**4/3 + 40*h**3/3 - 5*h**2/3 = 0 for h.
0, 1/7, 1
Determine f, given that 14*f**3/5 + 248*f**2/5 + 166*f/5 - 68/5 = 0.
-17, -1, 2/7
Factor -2*o**5/23 - 162*o**4/23 - 4788*o**3/23 - 58212*o**2/23 - 166698*o/23 + 1166886/23.
-2*(o - 3)*(o + 21)**4/23
Factor x**2/7 + 933*x/7 - 934/7.
(x - 1)*(x + 934)/7
Suppose -4*w**4/13 + 94*w**3/13 + 28*w**2 +