r -u**5 - 2*u**4 + 2*u**2 + u.
-u*(u - 1)*(u + 1)**3
Factor 2*f**4/5 + 12*f**3/5 + 24*f**2/5 + 4*f + 6/5.
2*(f + 1)**3*(f + 3)/5
Factor -2*l**4 - 4*l**3 + 2*l**2 + 4*l.
-2*l*(l - 1)*(l + 1)*(l + 2)
Factor -p**3 - 1621*p**2 - 3239*p - 1619.
-(p + 1)**2*(p + 1619)
Suppose -3*y**4/5 - 9*y**3/5 + 33*y**2/5 + 9*y/5 - 6 = 0. Calculate y.
-5, -1, 1, 2
Factor -4*n**4 + 44*n**3 - 132*n**2 + 148*n - 56.
-4*(n - 7)*(n - 2)*(n - 1)**2
Let 16*i**4 + 8*i**3 - 15*i**2 - 8*i - 1 = 0. Calculate i.
-1, -1/4, 1
Suppose -p**4/2 + 21*p**3 - 39*p**2/2 - 41*p = 0. Calculate p.
-1, 0, 2, 41
Let d**5/3 - 27*d**4 - 262*d**3 - 2144*d**2/3 - 480*d = 0. Calculate d.
-4, -1, 0, 90
Solve 4*r**5/7 - 32*r**3/7 - 24*r**2/7 + 4*r + 24/7 = 0 for r.
-2, -1, 1, 3
Factor 9*w**4 + 16*w**3 + 5*w**2 - 2*w.
w*(w + 1)**2*(9*w - 2)
Determine i, given that i**2/3 + 2864*i/3 + 2050624/3 = 0.
-1432
Factor 2*v**2/19 + 36*v/19 + 130/19.
2*(v + 5)*(v + 13)/19
Determine x so that -x**4 + 8*x**3 + 126*x**2 - 1568*x + 4459 = 0.
-13, 7
Determine u, given that -4*u**2 - 5128*u - 1643524 = 0.
-641
Suppose -20*w**5 - 12*w**4 + 128*w**3 + 32*w**2 - 192*w + 64 = 0. What is w?
-2, 2/5, 1, 2
What is a in a**4/4 + 19*a**3/4 + 27*a**2/4 - 115*a/4 + 17 = 0?
-17, -4, 1
Factor 10*f**5/21 - 52*f**4/21 + 32*f**3/7 - 76*f**2/21 + 22*f/21.
2*f*(f - 1)**3*(5*f - 11)/21
Find d such that 3*d**2/4 + 357*d/4 + 1635/2 = 0.
-109, -10
Factor -u**2 + 8*u - 16.
-(u - 4)**2
Factor 5*a**5 + 20*a**4 + 5*a**3 - 50*a**2 - 20*a + 40.
5*(a - 1)**2*(a + 2)**3
Suppose 20*d**5 + 455*d**4 + 965*d**3 - 13230*d**2 + 3240*d = 0. What is d?
-18, -9, 0, 1/4, 4
Find x such that 5*x**4 + 65*x**3 - 65*x**2 - 905*x - 780 = 0.
-13, -3, -1, 4
Determine s, given that -s**4 + 148*s**3 = 0.
0, 148
Factor -39*c**2 - 18*c.
-3*c*(13*c + 6)
Solve -2*j**2/11 - 16*j/11 - 14/11 = 0.
-7, -1
Suppose -3*p**2 + 12*p + 36 = 0. Calculate p.
-2, 6
Determine u so that 2*u**4 - 246*u**3/5 + 156*u**2 - 488*u/5 - 336/5 = 0.
-2/5, 2, 21
Suppose 2*l**5/13 - 360*l**4/13 + 16200*l**3/13 = 0. Calculate l.
0, 90
Factor -2*p**2/5 - 12*p/5 - 16/5.
-2*(p + 2)*(p + 4)/5
Factor -4*k**3 + k**2/3 + 11*k/3.
-k*(k - 1)*(12*k + 11)/3
Factor y**5/3 - 11*y**4 - 1139*y**3 - 67915*y**2/3 - 137564*y.
y*(y - 84)*(y + 17)**3/3
Solve -21*z**3 + 4026*z**2 + 5205*z + 1158 = 0.
-1, -2/7, 193
Suppose -4*t**2 + 316*t + 320 = 0. Calculate t.
-1, 80
Factor -3*r**2/5 + 993*r/5 + 996/5.
-3*(r - 332)*(r + 1)/5
Determine n so that 6*n**3 + 44*n**2 + 40*n - 48 = 0.
-6, -2, 2/3
Solve -p**4 - 16*p**3 - 71*p**2 - 116*p - 60 = 0.
-10, -3, -2, -1
Let -r**2 + 12*r - 27 = 0. Calculate r.
3, 9
Solve -2*i**2 - 3132*i = 0 for i.
-1566, 0
Factor 2*o**4/3 + 16*o**3 + 66*o**2 + 152*o/3.
2*o*(o + 1)*(o + 4)*(o + 19)/3
Find g, given that 5*g**3 + 570*g**2 + 21660*g + 274360 = 0.
-38
Determine m so that -7*m**5/3 - 74*m**4 - 727*m**3/3 + 24*m**2 + 1220*m/3 - 112 = 0.
-28, -3, -2, 2/7, 1
Factor 5*l**2 - 30*l - 80.
5*(l - 8)*(l + 2)
Find z such that -3*z**3/4 + 591*z**2/2 - 29400*z + 57624 = 0.
2, 196
Solve 9*l**2/4 + 453*l/4 + 75/2 = 0 for l.
-50, -1/3
Factor 68*x**4 - 1192*x**3/3 + 752*x**2 - 416*x - 256/3.
4*(x - 2)**3*(51*x + 8)/3
Find m, given that -3*m**2 + 25*m + 18 = 0.
-2/3, 9
Determine u, given that 5*u**5 - 5*u**4 - 60*u**3 + 80*u**2 + 160*u - 240 = 0.
-3, -2, 2
Find f such that -5*f**5 - 5*f**4 + 10*f**3 = 0.
-2, 0, 1
Determine q, given that -2*q**5/5 + 2*q**4 + 8*q**3/5 - 8*q**2 = 0.
-2, 0, 2, 5
Suppose b**4/2 + 72*b**3 + 2592*b**2 = 0. What is b?
-72, 0
Factor -5*r**2 - 270*r - 3645.
-5*(r + 27)**2
Factor 36*m**4 + 160*m**3 - 116*m**2 - 80*m.
4*m*(m - 1)*(m + 5)*(9*m + 4)
Factor -s**5/2 - 3*s**4 - 7*s**3 - 8*s**2 - 9*s/2 - 1.
-(s + 1)**4*(s + 2)/2
Suppose -w**4/11 - 20*w**3/11 - 42*w**2/11 + 468*w/11 - 405/11 = 0. Calculate w.
-15, -9, 1, 3
Solve v**4/4 + 21*v**3/2 + 201*v**2/4 - 133*v + 72 = 0 for v.
-36, -8, 1
Factor 4*p**3/11 - 14*p**2/11 + 12*p/11.
2*p*(p - 2)*(2*p - 3)/11
Factor -5*n**3 + 85*n**2 + 5*n - 85.
-5*(n - 17)*(n - 1)*(n + 1)
Factor -4*c**5 - 112*c**4 - 528*c**3 + 3584*c**2 - 4096*c.
-4*c*(c - 2)**2*(c + 16)**2
Factor n**2/4 - 15*n/4 + 9.
(n - 12)*(n - 3)/4
Let -65*r**2 + 8850*r - 1360 = 0. What is r?
2/13, 136
Solve 2*q**3/13 + 530*q**2/13 + 35376*q/13 + 34848/13 = 0.
-132, -1
Factor 8*v**5/7 - 166*v**4/7 + 450*v**3/7 - 62*v**2 + 142*v/7.
2*v*(v - 1)**3*(4*v - 71)/7
Let 2*s**2/9 - 64*s/3 + 512 = 0. What is s?
48
Factor 23716*g**2 + 1232*g + 16.
4*(77*g + 2)**2
Solve -4*s**3 - 1138*s**2 - 81224*s - 40328 = 0.
-142, -1/2
Solve 3*g**2 - 1386*g - 1389 = 0 for g.
-1, 463
Suppose -2*s**2 - 60*s + 62 = 0. Calculate s.
-31, 1
Factor -2*u**4/5 + 434*u**3/5 - 6390*u**2 + 836806*u/5 - 2863288/5.
-2*(u - 71)**3*(u - 4)/5
Factor h**3/3 + 59*h**2/3 - 248*h/3 + 84.
(h - 2)**2*(h + 63)/3
Find v such that -7*v**5 - 87*v**4/2 - 8*v**3 + 6*v**2 = 0.
-6, -1/2, 0, 2/7
Suppose 2*u**3/11 - 46*u**2/11 - 156*u/11 = 0. Calculate u.
-3, 0, 26
Factor -r**2/2 + 4*r - 8.
-(r - 4)**2/2
Factor z**4 + 83*z**3 + 2349*z**2 + 24057*z + 39366.
(z + 2)*(z + 27)**3
Let -2*p**5/3 + 40*p**4 - 900*p**3 + 9000*p**2 - 33750*p = 0. Calculate p.
0, 15
Factor 3*j**4 + 18*j**3 - 36*j**2 - 210*j + 225.
3*(j - 3)*(j - 1)*(j + 5)**2
Suppose -x**4 - 86*x**3 - 1933*x**2 - 3612*x - 1764 = 0. Calculate x.
-42, -1
Solve -2*o**3/5 - 1536*o**2/5 - 393216*o/5 - 33554432/5 = 0.
-256
Factor 5*u**3/3 - 187*u**2/3 + 74*u/3.
u*(u - 37)*(5*u - 2)/3
Determine p so that 4*p**5 + 64*p**4 + 384*p**3 + 1024*p**2 + 1024*p = 0.
-4, 0
Factor 2*m**3 - 4056*m**2 + 2056392*m.
2*m*(m - 1014)**2
Factor -4*n**2 - 944*n - 940.
-4*(n + 1)*(n + 235)
Determine u so that -u**4/5 + u**3 - 7*u**2/5 + 3*u/5 = 0.
0, 1, 3
Let -8*r**5 - 58*r**4 + 706*r**3 - 844*r**2 - 2048*r - 448 = 0. Calculate r.
-14, -1, -1/4, 4
Find k, given that 5*k**2 + 60*k = 0.
-12, 0
Let -15*u**5 - 5*u**4 + 160*u**3 - 40*u**2 - 400*u + 240 = 0. Calculate u.
-3, -2, 2/3, 2
Factor 5*o**3 - 420*o**2 + 5145*o + 168070.
5*(o - 49)**2*(o + 14)
Let -u**3/6 + 9*u**2 - 149*u/6 - 34 = 0. Calculate u.
-1, 4, 51
Factor -k**3/5 + 1181*k**2/5 - 69856*k + 69620.
-(k - 590)**2*(k - 1)/5
Solve -b**3/2 - 35*b**2/2 - 100*b + 1000 = 0.
-20, 5
Determine w so that -2*w**5/5 - 12*w**4 - 636*w**3/5 - 544*w**2 - 3762*w/5 - 324 = 0.
-10, -9, -1
Solve 2*l**4/13 - 12*l**3/13 - 6*l**2/13 + 40*l/13 - 24/13 = 0 for l.
-2, 1, 6
Find x such that 2*x**2 - 2632*x + 865928 = 0.
658
Factor -u**3 - 14*u**2 - 64*u - 96.
-(u + 4)**2*(u + 6)
Solve -6*b**4/11 + 42*b**3/11 - 78*b**2/11 - 18*b/11 + 108/11 = 0 for b.
-1, 2, 3
Solve -2*p**5/13 - 16*p**4/13 + 454*p**3/13 - 940*p**2/13 - 7616*p/13 + 15680/13 = 0.
-20, -4, 2, 7
Factor o**5 + 112*o**4 + 111*o**3.
o**3*(o + 1)*(o + 111)
Determine k so that -k**3/3 + 65*k**2/3 + 133*k/3 + 67/3 = 0.
-1, 67
Factor d**3/5 + 6*d**2 - d/5 - 6.
(d - 1)*(d + 1)*(d + 30)/5
Solve v**4 - 24*v**3 + 144*v**2 = 0.
0, 12
What is v in 1317006*v**4 - 6630444*v**3 + 227592*v**2 - 2612*v + 10 = 0?
1/87, 5
Factor k**5/2 + 3*k**4 + 4*k**3 - 8*k**2 - 24*k - 16.
(k - 2)*(k + 2)**4/2
Factor 3*q**3/7 + 30*q**2/7 + 51*q/7 + 24/7.
3*(q + 1)**2*(q + 8)/7
Factor -5*h**2 + 580*h - 16820.
-5*(h - 58)**2
Factor -3*r**5 + 9*r**4 + 18*r**3 - 84*r**2 + 72*r.
-3*r*(r - 2)**3*(r + 3)
Solve 62*t**2 + 244*t - 16 = 0 for t.
-4, 2/31
Solve -t**3/3 + 3*t**2 - 20*t/3 + 4 = 0 for t.
1, 2, 6
Determine x so that -x**3 + 3*x**2 + 9*x - 27 = 0.
-3, 3
Factor 2*b**2/15 - 22132*b/15 + 61228178/15.
2*(b - 5533)**2/15
Determine k, given that 7803*k**2 + 306*k + 3 = 0.
-1/51
Determine z, given that -4*z**3 - 28*z**2 - 32*z + 64 = 0.
-4, 1
Factor -972*l**2 + 54*l - 3/4.
-3*(36*l - 1)**2/4
Factor 2*n**2/19 - 720*n/19 + 2142/19.
2*(n - 357)*(n - 3)/19
Determine v, given that -2*v**2 - 394*v + 396 = 0.
-198, 1
What is v in 6*v**3/11 - 202*v**2/11 - 72*v/11 + 136/11 = 0?
-1, 2/3, 34
Factor -3*a**5 - 219*a**4 + 450*a**3 - 6*a**2 - 447*a + 225.
-3*(a - 1)**3*(a + 1)*(a + 75)
Factor g**3/3 - 500*g**2 + 187500*g.
g*(g - 750)**2/3
Let -a**3 - 188*a**2 + 379*a - 190 = 0. What is a?
-190, 1
Suppose 3*t**5/2 + 9*t**4/2 - 27*t**3 + 6*t**2 + 36*t = 0. Calculate t.
-6, -1, 0, 2
Solve -3*f**4/5 - 21*f**3/5 - 9*f**2 - 39*f/5 - 12/5 = 0 for f.
-4, -1
Solve 3*i**4 - 258*i**3 + 7560*i**2 - 79968*i + 131712 = 0.
2, 28
Let 5*r**2 - 35030*r + 61355045 = 0. What is r?
3503
