i**2/2 + 21*i/2 - 9.
(i - 3)**2*(i - 1)*(i + 2)/2
Factor 3*w**2 + 2205*w.
3*w*(w + 735)
Factor 3*u**4/5 + 12*u**3/5 + 9*u**2/5.
3*u**2*(u + 1)*(u + 3)/5
Factor 5*a**4/4 + 115*a**3 + 7935*a**2/2 + 60835*a + 1399205/4.
5*(a + 23)**4/4
Solve o**3 + 3*o**2 = 0 for o.
-3, 0
Suppose 2*q**2/11 + 2*q/11 - 4/11 = 0. Calculate q.
-2, 1
Factor 2*n**3/9 + 500*n**2/9 + 30226*n/9 - 129032/9.
2*(n - 4)*(n + 127)**2/9
Suppose 6*b**3 - 68*b**2/3 + 38*b/3 + 4 = 0. What is b?
-2/9, 1, 3
Factor 2*o**2 + 580*o - 1758.
2*(o - 3)*(o + 293)
Let 52*t**5 + 8*t**4 - 52*t**3 - 8*t**2 = 0. What is t?
-1, -2/13, 0, 1
Factor 2*i**5/15 - 16*i**4/15 + 12*i**3/5 - 32*i**2/15 + 2*i/3.
2*i*(i - 5)*(i - 1)**3/15
What is n in 3*n**5 - 75*n**4 + 126*n**3 + 300*n**2 - 552*n = 0?
-2, 0, 2, 23
Solve -5*l**3 + 165*l**2 - 1440*l + 1280 = 0.
1, 16
Factor -4*n**3 + 2028*n**2 + 8164*n + 6132.
-4*(n - 511)*(n + 1)*(n + 3)
Factor 3*s**2 - 7119*s - 14250.
3*(s - 2375)*(s + 2)
What is y in -y**5/4 + 17*y**4/4 - 7*y**3/2 - 8*y**2 = 0?
-1, 0, 2, 16
Solve 3*c**4 - 6*c**3 - 33*c**2 + 36*c + 108 = 0 for c.
-2, 3
Solve -2*z**5/7 + 2*z**4/7 + 2*z**3/7 - 2*z**2/7 = 0.
-1, 0, 1
Suppose -4*f**3 - 76*f**2 - 360*f = 0. What is f?
-10, -9, 0
Find r, given that r**2 - 12*r - 28 = 0.
-2, 14
Solve -5*g**2/4 + 315*g/4 + 80 = 0.
-1, 64
Suppose -5*l**3 - 1800*l**2 + 14640*l - 29440 = 0. What is l?
-368, 4
Suppose -h**4 + 6*h**3 + h**2 - 6*h = 0. What is h?
-1, 0, 1, 6
Factor -x**2/2 + 1235*x/2 + 618.
-(x - 1236)*(x + 1)/2
Determine t, given that 4*t**5/5 + 54*t**4/5 + 24*t**3/5 - 1034*t**2/5 + 360*t - 648/5 = 0.
-9, 1/2, 2
Find f such that 5*f**4 - 15*f**3 - 60*f**2 + 100*f + 240 = 0.
-2, 3, 4
Suppose 5*d**5 + 25*d**4 - 10*d**3 - 50*d**2 + 5*d + 25 = 0. Calculate d.
-5, -1, 1
Solve 2*i**5/3 - 16*i**4/3 + 4*i**3 + 16*i**2/3 - 14*i/3 = 0.
-1, 0, 1, 7
Factor -y**2 + 126*y + 127.
-(y - 127)*(y + 1)
Factor 2*t**2/11 + 18*t/11 + 36/11.
2*(t + 3)*(t + 6)/11
Factor 4*z**2/5 - 498*z/5 + 248/5.
2*(z - 124)*(2*z - 1)/5
Solve o**3/2 - 49*o**2/2 + 195*o = 0.
0, 10, 39
Let 4*t**5 + 12*t**4 - 64*t**3 + 48*t**2 = 0. Calculate t.
-6, 0, 1, 2
Factor -2*d**2/9 + 1648*d/9 - 339488/9.
-2*(d - 412)**2/9
Determine l, given that -2*l**5 - l**4 + 51*l**3 + 25*l**2 - 25*l = 0.
-5, -1, 0, 1/2, 5
Factor -c**2/3 + 4970*c/3 - 6175225/3.
-(c - 2485)**2/3
Let w**4 - 50*w**3 + 717*w**2 - 2300*w + 2116 = 0. What is w?
2, 23
Determine q, given that 22*q**5 + 128*q**4 + 42*q**3 - 232*q**2 + 40*q = 0.
-5, -2, 0, 2/11, 1
Factor 2*q**3/3 + 10*q**2 + 76*q/3 + 16.
2*(q + 1)*(q + 2)*(q + 12)/3
Factor 2*t**3/13 - 24*t**2/13 + 18*t/13 + 44/13.
2*(t - 11)*(t - 2)*(t + 1)/13
Factor -3*l**3/8 - 345*l**2/8 - 10089*l/8 - 9747/8.
-3*(l + 1)*(l + 57)**2/8
Factor -2*y**3/9 - 6*y**2 - 130*y/3 - 338/9.
-2*(y + 1)*(y + 13)**2/9
Factor 5*l**2 - 250*l + 3125.
5*(l - 25)**2
Solve 2*n**2/9 + 860*n/3 + 92450 = 0.
-645
Factor -2*y**2 + 408*y - 20808.
-2*(y - 102)**2
Factor 6*b**4 + 130*b**3 + 682*b**2 - 242*b.
2*b*(b + 11)**2*(3*b - 1)
Determine q so that -q**5 + 15*q**4 - 63*q**3 + 49*q**2 = 0.
0, 1, 7
Suppose -3*r**5 + 61*r**4 + 134*r**3/3 - 54*r**2 - 125*r/3 - 7 = 0. What is r?
-1, -1/3, 1, 21
Find j, given that 4*j**2 + 1460*j + 11424 = 0.
-357, -8
Solve -j**2/3 - 16*j/3 + 17/3 = 0 for j.
-17, 1
Factor -4*g**3/7 - 48*g**2/7 - 180*g/7 - 216/7.
-4*(g + 3)**2*(g + 6)/7
Factor -4*g**3 - 252*g**2 + 516*g - 260.
-4*(g - 1)**2*(g + 65)
Factor -5*x**2 + 1450*x - 1445.
-5*(x - 289)*(x - 1)
Determine g so that -196*g**3 + 2324*g**2 + 360*g - 288 = 0.
-3/7, 2/7, 12
What is i in -2*i**5/11 - 16*i**4/11 - 12*i**3/11 + 16*i**2/11 + 14*i/11 = 0?
-7, -1, 0, 1
Solve 5*t**4/6 - 23*t**3/6 + 3*t**2 = 0.
0, 1, 18/5
Suppose -3*h**4 - 981*h**3 - 1947*h**2 + 981*h + 1950 = 0. Calculate h.
-325, -2, -1, 1
Suppose 2*l**4/9 - 2*l**3/3 - 20*l**2/9 + 16*l/3 = 0. Calculate l.
-3, 0, 2, 4
What is z in 21*z**4 - 6012*z**3 + 412560*z**2 + 2568432*z - 767376 = 0?
-6, 2/7, 146
Factor 2*q**2/3 + 14*q/3 - 20.
2*(q - 3)*(q + 10)/3
Factor 2*w**4/5 + 578*w**3/5 + 576*w**2/5.
2*w**2*(w + 1)*(w + 288)/5
Solve u**3 + 8*u**2 - 112*u + 256 = 0 for u.
-16, 4
Solve k**2/4 + 3*k/4 + 1/2 = 0.
-2, -1
Determine w, given that -3*w**2 - 36*w - 96 = 0.
-8, -4
Suppose -2*u**4/9 - 220*u**3/3 - 57650*u**2/9 - 176000*u/3 - 1280000/9 = 0. What is u?
-160, -5
Determine g, given that -g**2 - 1622*g - 1621 = 0.
-1621, -1
Factor 35*l**3 - 85*l**2 - 1195*l + 525.
5*(l - 7)*(l + 5)*(7*l - 3)
Find z such that -81*z**5 + 477*z**4/5 - 41*z**3/5 - 29*z**2/5 - 2*z/5 = 0.
-1/9, 0, 2/5, 1
Find h, given that 3*h**4/2 + 312*h**3 + 15261*h**2 - 100152*h + 309123/2 = 0.
-107, 3
Let v**2/6 - 53*v/3 - 36 = 0. What is v?
-2, 108
Suppose 5*g**3 - 60*g**2 - 75*g + 130 = 0. What is g?
-2, 1, 13
Find i, given that -3*i**5 + 117*i**4 - 1242*i**3 - 810*i**2 + 42525*i + 91125 = 0.
-3, 15
Let 4*c**4/7 - 4*c**3/7 - 36*c**2/7 + 36*c/7 = 0. What is c?
-3, 0, 1, 3
Find t, given that 3*t**2/5 - 708*t/5 = 0.
0, 236
Determine i so that 112*i**2 - 452*i + 16 = 0.
1/28, 4
Factor -g**2/2 - 2057*g/2 + 1029.
-(g - 1)*(g + 2058)/2
Let -2*p**2/5 + 26*p/5 - 84/5 = 0. Calculate p.
6, 7
Factor f**5/2 - 3*f**4/2 - 3*f**3/2 + 7*f**2/2 + 3*f.
f*(f - 3)*(f - 2)*(f + 1)**2/2
Factor 4*c**3/3 - 44*c**2 - 92*c - 140/3.
4*(c - 35)*(c + 1)**2/3
Factor -3*z**3 + 36*z**2 - 15*z - 450.
-3*(z - 10)*(z - 5)*(z + 3)
Let -2*m**5/7 - 8*m**4/7 + 94*m**3/7 - 236*m**2/7 + 232*m/7 - 80/7 = 0. Calculate m.
-10, 1, 2
Let -35*t**4 + 75*t**3 + 90*t**2 = 0. Calculate t.
-6/7, 0, 3
Factor t**2/2 + 7*t/2 - 15.
(t - 3)*(t + 10)/2
Factor 6*y**2 - 56*y + 18.
2*(y - 9)*(3*y - 1)
Solve f**2/5 + 11*f/5 + 28/5 = 0 for f.
-7, -4
Factor -2*i**3/9 - 232*i**2 - 80736*i - 9365376.
-2*(i + 348)**3/9
Determine v so that 4*v**3 - 352*v**2 + 1020*v = 0.
0, 3, 85
Factor -2*s**2/7 - 26*s/7 - 80/7.
-2*(s + 5)*(s + 8)/7
Let 3*c**3 - 111*c**2 + 108*c = 0. Calculate c.
0, 1, 36
Factor 5*q**4 + 2*q**3 - 8*q**2 - 2*q + 3.
(q - 1)*(q + 1)**2*(5*q - 3)
Factor 4*c**5 + 904*c**4 + 2688*c**3 + 2680*c**2 + 892*c.
4*c*(c + 1)**3*(c + 223)
Factor -2*x**3 - 4*x**2 + 2*x + 4.
-2*(x - 1)*(x + 1)*(x + 2)
Find w, given that 16*w**5 + 28*w**4 - 72*w**3 - 112*w**2 + 32*w = 0.
-2, 0, 1/4, 2
Determine y, given that -34*y**4/7 + 72*y**3/7 - 8*y**2/7 = 0.
0, 2/17, 2
Find d such that 2*d**2/13 + 7988*d/13 + 7976018/13 = 0.
-1997
Suppose -4*g**5 + 24*g**4 + 16*g**3 - 96*g**2 = 0. What is g?
-2, 0, 2, 6
Factor -t**4/3 - 32*t**3 - 63*t**2 - 94*t/3.
-t*(t + 1)**2*(t + 94)/3
Factor -z**4 + 2*z**3 + 27*z**2 + 52*z + 28.
-(z - 7)*(z + 1)*(z + 2)**2
Determine u so that -2*u**4/3 + 155*u**3/3 + 398*u**2/3 + 160*u/3 = 0.
-2, -1/2, 0, 80
Factor -5*s**3 + 36*s**2 - s - 42.
-(s - 7)*(s + 1)*(5*s - 6)
Factor -5*k**3 - 25*k**2 + 180*k + 900.
-5*(k - 6)*(k + 5)*(k + 6)
Suppose -b**4/2 + 9*b**3/2 - 15*b**2/2 - 25*b/2 = 0. Calculate b.
-1, 0, 5
Let -18*i**3 + 339*i**2 + 1449*i + 810 = 0. What is i?
-3, -2/3, 45/2
Factor 54*b**2 + 110*b + 4.
2*(b + 2)*(27*b + 1)
Factor 32*j**3/9 - 112*j**2/9 - 74*j/3 - 10.
2*(j - 5)*(4*j + 3)**2/9
Factor -6*q**3 + 31*q**2 + 31*q - 6.
-(q - 6)*(q + 1)*(6*q - 1)
Let -5*m**4 - 15*m**3 + 120*m**2 - 140*m = 0. Calculate m.
-7, 0, 2
Factor 3*r**2/5 + 279*r/5 - 114.
3*(r - 2)*(r + 95)/5
Suppose k**2/6 - 55*k/6 = 0. What is k?
0, 55
Suppose j**5/5 - 51*j**3/5 + 226*j**2/5 - 372*j/5 + 216/5 = 0. What is j?
-9, 2, 3
Determine x, given that -2*x**5/3 - 74*x**4/3 - 560*x**3/3 + 800*x**2 = 0.
-20, 0, 3
Factor -a**3/4 - 635*a**2/4 - 101123*a/4 - 100489/4.
-(a + 1)*(a + 317)**2/4
Factor -4*b**2 - 100*b.
-4*b*(b + 25)
Determine g so that -34*g**3/3 - 616*g**2/3 - 840*g - 96 = 0.
-12, -6, -2/17
Factor y**4 + 56*y**3 - 57*y**2.
y**2*(y - 1)*(y + 57)
Factor -2*n**5/15 - 4*n**4/15 + 2*n**3/5.
-2*n**3*(n - 1)*(n + 3)/15
Factor 5*x**2 - 3920*x + 768320.
5*(x - 392)**2
Factor -4*r**3 - 24*r**2/5 + 36*r/5 + 8/5.
-4*(r - 1)*(r + 2)*(5*r + 1)/5
Factor 2*k**3/9 + 4*k**2/9 - 128*k/9 + 320/9.
2*(k - 4)**2*(k + 10)/9
Let w**3 + 15*w**2 - 34*w = 0. What is w?
-17, 0, 2
Determine r, given that 2*r**5 + 428*r**4 + 29328*r**3 + 552928*r**2 - 6089312*r + 9725376 = 0.
-74, 2, 6
Find f, given that -f**3/8 + 5*f**2/2 - 53*f/8 + 17/4 = 0.
1, 2, 17
Find u such that -3*u**4/5 + 24*u**3/5 + 3*u**2/5 - 204*u/5 + 252/5 = 0.
-3, 2, 7
Determine z, given that -11*z**3