 357*n**2 - 120*n.
3*n*(n - 1)**3*(n + 40)
Factor -i**2 + 368*i - 33856.
-(i - 184)**2
Factor 27*a**3 - 72*a**2 - 33*a/4 + 363/4.
3*(a + 1)*(6*a - 11)**2/4
Let -4*p**4/7 - 4*p**3 = 0. Calculate p.
-7, 0
Determine w so that -9*w**5 - 840*w**4 - 15337*w**3 + 214750*w**2 + 305796*w + 104040 = 0.
-51, -2/3, 10
Let -5*h**4 + 10*h**3 + 20*h**2 - 10*h - 15 = 0. Calculate h.
-1, 1, 3
Suppose 105*m**5/4 + 519*m**4/4 + 285*m**3/4 - 963*m**2/4 + 27*m/2 = 0. Calculate m.
-3, 0, 2/35, 1
Let -3*s**2 + 84*s - 156 = 0. Calculate s.
2, 26
Factor 2*a**4 + 2*a**3 - 24*a**2 + 8*a + 32.
2*(a - 2)**2*(a + 1)*(a + 4)
Find y, given that 2*y**5 - 6*y**4 - 8*y**3 = 0.
-1, 0, 4
Factor -2*v**4 - 16*v**3 + 8*v**2 + 64*v.
-2*v*(v - 2)*(v + 2)*(v + 8)
Factor 3*k**2/5 - 3*k/5 - 6/5.
3*(k - 2)*(k + 1)/5
Determine d so that -5*d**2 - 500*d + 505 = 0.
-101, 1
Find j such that -j**3 - 15*j**2 - 47*j - 33 = 0.
-11, -3, -1
Suppose 28*u**4/5 - 16*u**3 + 52*u**2/5 = 0. Calculate u.
0, 1, 13/7
Suppose f**4 + 3*f**3 - 13*f**2 - 15*f = 0. Calculate f.
-5, -1, 0, 3
Determine j so that 5*j**3 + 60*j**2 + 180*j + 160 = 0.
-8, -2
Factor 3*k**2 - 417*k.
3*k*(k - 139)
Solve -s**2/3 + 703*s/3 + 704/3 = 0.
-1, 704
Factor -16*n**3/3 - 56*n**2 + 29*n - 11/3.
-(n + 11)*(4*n - 1)**2/3
Let s**5/5 - 31*s**4/5 + 81*s**3/5 + 91*s**2/5 - 38*s - 168/5 = 0. What is s?
-1, 2, 3, 28
Determine i so that -i**3/3 + 621*i**2 - 385641*i + 79827687 = 0.
621
Let -2*s**4 + 12*s**3 + 74*s**2 + 60*s = 0. Calculate s.
-3, -1, 0, 10
Determine j, given that 2*j**4 + 72*j**3 + 726*j**2 + 704*j - 10752 = 0.
-16, -7, 3
Factor -z**4/5 - 16*z**3 - 1813*z**2/5 - 8214*z/5.
-z*(z + 6)*(z + 37)**2/5
Suppose 5*v**5 - 135*v**4 + 690*v**3 + 2930*v**2 + 3225*v + 1125 = 0. Calculate v.
-1, 15
Factor 4*f**3 + 8*f**2 - 84*f + 72.
4*(f - 3)*(f - 1)*(f + 6)
Suppose -98*j**5/5 - 112*j**4/5 + 30*j**3 - 36*j**2/5 = 0. What is j?
-2, 0, 3/7
Solve -7*o**4/2 + 55*o**3/2 + 379*o**2/2 - 367*o/2 - 30 = 0.
-5, -1/7, 1, 12
Let -24*c**4 - 142*c**3 - 202*c**2 + 30*c + 18 = 0. What is c?
-3, -1/4, 1/3
Factor 5*g**5/2 - 85*g**4/2 + 155*g**3/2 - 75*g**2/2.
5*g**2*(g - 15)*(g - 1)**2/2
Solve 3*b**3/5 - 9*b**2/5 - 12*b/5 = 0 for b.
-1, 0, 4
Determine x so that -2*x**3/3 - 364*x**2/3 + 122*x = 0.
-183, 0, 1
Factor -5*k**4 + 200*k**3 - 555*k**2.
-5*k**2*(k - 37)*(k - 3)
Factor 3*f**3 + 39*f**2 - 3*f - 39.
3*(f - 1)*(f + 1)*(f + 13)
Factor 12*s**4 - 872*s**3 + 1412*s**2 + 568*s.
4*s*(s - 71)*(s - 2)*(3*s + 1)
Determine c, given that -4*c**4/5 - 284*c**3/5 - 1488*c**2 - 16960*c - 70400 = 0.
-20, -11
Suppose 5*s**2/2 - 685*s + 93845/2 = 0. What is s?
137
Factor -4*j**4 + 456*j**3 + 3404*j**2 - 934800*j - 16810000.
-4*(j - 82)**2*(j + 25)**2
What is a in -2*a**3 + 1299*a**2 - 562467*a/2 + 81182737/4 = 0?
433/2
Factor 3*w**3/7 - 45*w**2/7.
3*w**2*(w - 15)/7
Factor -4*r**2 + 224*r - 3136.
-4*(r - 28)**2
Factor 2*x**2/13 + 84*x/13 + 160/13.
2*(x + 2)*(x + 40)/13
Determine x so that x**2/7 - 80*x/7 - 1209/7 = 0.
-13, 93
Determine z, given that -5*z**4 - 380*z**3 - 7665*z**2 - 20410*z - 13120 = 0.
-41, -32, -2, -1
Solve -6*n**3/7 + 316*n**2/7 + 106*n/7 = 0.
-1/3, 0, 53
Suppose -4*w**3 - 100*w**2 + 452*w - 348 = 0. What is w?
-29, 1, 3
Suppose 5*b**4 - 35*b**3 - 5*b**2 + 35*b = 0. Calculate b.
-1, 0, 1, 7
Find x, given that -10*x**3 + 4*x**2 + 26*x + 12 = 0.
-1, -3/5, 2
Find p such that 4*p**3/7 + 8*p**2 + 244*p/7 + 48 = 0.
-7, -4, -3
Factor b**2 - 28*b + 52.
(b - 26)*(b - 2)
Determine t, given that -t**2/7 + 50*t/7 - 429/7 = 0.
11, 39
What is f in 50*f**2 + 10*f + 1/2 = 0?
-1/10
Factor c**4/3 + 4*c**3/3 + 5*c**2/3 + 2*c/3.
c*(c + 1)**2*(c + 2)/3
Let 3*b**3/7 + 60*b**2/7 - 129*b/7 + 66/7 = 0. What is b?
-22, 1
Factor -h**5 - 111*h**4 - 4214*h**3 - 58536*h**2 - 147744*h - 93312.
-(h + 1)*(h + 2)*(h + 36)**3
What is g in -2*g**3 - 22*g**2 + 194*g - 170 = 0?
-17, 1, 5
Factor -r**2 + 432*r - 46656.
-(r - 216)**2
Factor -5*g**4 - 85*g**3 - 390*g**2 - 700*g - 440.
-5*(g + 2)**3*(g + 11)
Let 2916*y**5 + 432*y**4 - 2900*y**3 - 432*y**2 - 16*y = 0. Calculate y.
-1, -2/27, 0, 1
What is p in p**4 + 543*p**3/2 - 819*p**2/2 + p/2 + 273/2 = 0?
-273, -1/2, 1
Factor -2*r**3 - 2*r**2 + 4*r.
-2*r*(r - 1)*(r + 2)
Determine i, given that 5*i**2 + 1775*i + 3530 = 0.
-353, -2
Factor -2*x**5/5 + 8*x**4/5 + 36*x**3/5 + 8*x**2 + 14*x/5.
-2*x*(x - 7)*(x + 1)**3/5
Factor -22*q**3 + 26*q**2 + 128*q - 24.
-2*(q - 3)*(q + 2)*(11*q - 2)
Solve -4*d**5 + 24*d**4 - 20*d**3 - 48*d**2 = 0.
-1, 0, 3, 4
Find p, given that 2*p**3/9 - 124*p**2/9 + 94*p + 108 = 0.
-1, 9, 54
Factor n**3/2 + 332*n**2 - 665*n/2.
n*(n - 1)*(n + 665)/2
Suppose 3*h**2/4 - 23*h/4 - 2 = 0. What is h?
-1/3, 8
Factor -r**2 - 81*r - 1178.
-(r + 19)*(r + 62)
Factor 25*j**4 - 855*j**3 - 1596*j**2 - 860*j - 144.
(j - 36)*(j + 1)*(5*j + 2)**2
Suppose -r**3/6 + r**2/2 + 23*r/3 + 12 = 0. What is r?
-4, -2, 9
Factor -d**3/3 + 671*d**2 - 450241*d + 302111711/3.
-(d - 671)**3/3
Factor -64*h**3 - 3424*h**2 - 1700*h - 212.
-4*(h + 53)*(4*h + 1)**2
Suppose -44*j**3/3 + 3428*j**2/3 + 3472*j/3 = 0. Calculate j.
-1, 0, 868/11
Factor y**2/2 + 17*y/2 + 21.
(y + 3)*(y + 14)/2
Find t such that -5*t**4 - 25*t**3 - 35*t**2 - 15*t = 0.
-3, -1, 0
Determine y, given that -6*y**3 + 2031*y**2/2 - 8427*y/2 + 990 = 0.
1/4, 4, 165
Factor -5*o**5/2 - 5*o**4/2 + 5*o**3/2 + 5*o**2/2.
-5*o**2*(o - 1)*(o + 1)**2/2
Factor -2*o**4 + 634*o**3 + 636*o**2.
-2*o**2*(o - 318)*(o + 1)
What is m in 5*m**3 + 545*m**2 + 15120*m + 14580 = 0?
-54, -1
Let -r**4 + 450*r**3 - 897*r**2 + 448*r = 0. Calculate r.
0, 1, 448
Factor 5*s**4/2 - 15*s**3 - 215*s**2/2 + 750*s - 630.
5*(s - 6)**2*(s - 1)*(s + 7)/2
Determine d so that 2*d**5 - 128*d**4 + 2270*d**3 - 6600*d**2 - 9000*d = 0.
-1, 0, 5, 30
Factor 3*b**3/4 + 21*b**2/2 - 24*b.
3*b*(b - 2)*(b + 16)/4
Find n such that 4*n**4 + 256*n**3 - 792*n**2 + 800*n - 268 = 0.
-67, 1
Factor 2*f**2/9 + 2480*f/9 + 768800/9.
2*(f + 620)**2/9
Factor -2*z**3 + 34*z**2 - 88*z + 56.
-2*(z - 14)*(z - 2)*(z - 1)
Factor 2*r**3 + 264*r**2 + 262*r.
2*r*(r + 1)*(r + 131)
Solve -4*i**5 + 27*i**4 + 18*i**3 - 243*i**2 + 162*i = 0 for i.
-3, 0, 3/4, 3, 6
Factor -2*a**3/9 - 122*a**2/9 - 238*a/9 - 118/9.
-2*(a + 1)**2*(a + 59)/9
Let 4*h**5 + 36*h**4 + 28*h**3 - 372*h**2 - 320*h + 1200 = 0. Calculate h.
-5, -3, 2
Factor r**2 + 68*r.
r*(r + 68)
Find r such that r**5/6 - 165*r**4/2 - 497*r**3/6 + 165*r**2/2 + 248*r/3 = 0.
-1, 0, 1, 496
Factor q**3/6 - 3*q**2 - 19*q/6.
q*(q - 19)*(q + 1)/6
Factor -5*x**3 + 80*x**2 + 5*x - 2600.
-5*(x - 13)*(x - 8)*(x + 5)
Factor -98*n**3/19 - 1316*n**2/19 + 776*n/19 - 112/19.
-2*(n + 14)*(7*n - 2)**2/19
Find l such that 2*l**5 - 27*l**4 + 58*l**3 + 468*l**2 - 1512*l - 864 = 0.
-4, -1/2, 6
Factor -4*o**4 - 12*o**3 + 64*o**2 - 48*o.
-4*o*(o - 2)*(o - 1)*(o + 6)
Factor 2*d**2 + 528*d.
2*d*(d + 264)
Solve -2058*j**5 - 4851*j**4 - 3444*j**3 - 531*j**2 + 156*j + 36 = 0.
-1, -2/7, 3/14
Factor h**3 - 13*h**2 + 20*h + 100.
(h - 10)*(h - 5)*(h + 2)
Factor 3*q**3/7 - 699*q**2/7 + 41064*q/7 - 40368/7.
3*(q - 116)**2*(q - 1)/7
Find u such that -u**5 + 16*u**3 + 38*u**2 + 33*u + 10 = 0.
-2, -1, 5
Find i, given that -i**3/3 - 129*i**2 - 12672*i - 36864 = 0.
-192, -3
Let k**4 + 19*k**3/3 + 28*k**2/3 - 4*k/3 - 16/3 = 0. What is k?
-4, -2, -1, 2/3
Factor 6*a**3 + 40*a**2 + 22*a - 12.
2*(a + 1)*(a + 6)*(3*a - 1)
Suppose 2*g**5/9 + 4*g**4/9 - 166*g**3/9 - 1096*g**2/9 - 2336*g/9 - 1408/9 = 0. Calculate g.
-4, -1, 11
Factor -c**2/2 - 133*c/2 - 195.
-(c + 3)*(c + 130)/2
Solve -3*q**3/5 + 96*q**2/5 - 447*q/5 - 546/5 = 0.
-1, 7, 26
Factor 3*k**4/5 - 51*k**3/5 + 279*k**2/5 - 105*k + 294/5.
3*(k - 7)**2*(k - 2)*(k - 1)/5
Factor 2*w**3/7 + 2*w**2/7 - 12*w/7.
2*w*(w - 2)*(w + 3)/7
Factor -h**3/3 - 5*h**2/3 + 44*h/3 - 20.
-(h - 3)*(h - 2)*(h + 10)/3
Factor -i**2 + 40*i - 384.
-(i - 24)*(i - 16)
Factor 5*x**5/4 - 20*x**3 + 20*x**2 + 60*x - 80.
5*(x - 2)**3*(x + 2)*(x + 4)/4
Factor 2*w**3/15 + 52*w**2/15 + 56*w/3 - 784/15.
2*(w - 2)*(w + 14)**2/15
Factor -5*t**2/2 - 1235*t/2.
-5*t*(t + 247)/2
Factor 4*s**4/7 - 8*s**3 + 132*s**2/7.
4*s**2*(s - 11)*(s - 3)/7
Factor 5*n**2 - 2740*n + 2735.
5*(n - 547)*(n - 1)
Determine m so that -8*m**2 + 5092*m + 2548 = 0.
-1/2, 637
Find q such that 4*q**4 + 19*q**3 + 22*q**2 = 0.
-11/4, -2, 0
Factor 5*b**5 + 3575*b**4 + 633650*b**