late t.
-17, -6, 1
Factor 3*n**4 - 51*n**3 - 60*n**2 + 108*n.
3*n*(n - 18)*(n - 1)*(n + 2)
Factor 4*t**4 + 84*t**3 + 76*t**2 - 84*t - 80.
4*(t - 1)*(t + 1)**2*(t + 20)
Factor -2*k**2/3 - 2*k.
-2*k*(k + 3)/3
Factor -q**2 - 7*q - 10.
-(q + 2)*(q + 5)
Find p such that -3*p**5/8 + 75*p**4/4 + 309*p**3/8 + 39*p**2/2 = 0.
-1, 0, 52
Factor -f**3/5 - 9*f**2/5 + 48*f/5 + 448/5.
-(f - 7)*(f + 8)**2/5
Solve -4*i**5 + 22*i**4 - 40*i**3 + 24*i**2 = 0 for i.
0, 3/2, 2
Let m**5/11 - 14*m**4/11 + 64*m**3/11 - 114*m**2/11 + 63*m/11 = 0. Calculate m.
0, 1, 3, 7
Solve z**3 + 75*z**2 - z - 75 = 0.
-75, -1, 1
Find b such that -5*b**5/4 - 215*b**4/2 - 2600*b**3 - 12000*b**2 = 0.
-40, -6, 0
Suppose 5*x**2 + 2360*x + 278480 = 0. Calculate x.
-236
Factor -2*l**5/9 - 76*l**4/9 - 214*l**3/3 + 1520*l**2/9 - 800*l/9.
-2*l*(l - 1)**2*(l + 20)**2/9
Solve 5*x**4 - 40*x**3 - 15*x**2 + 130*x - 80 = 0 for x.
-2, 1, 8
Find l, given that 4*l**2/5 + 636*l/5 - 128 = 0.
-160, 1
Determine f so that -f**3/3 + 31*f**2 - 880*f + 20800/3 = 0.
13, 40
Find p such that 4*p**5 + 44*p**4 + 96*p**3 - 144*p**2 = 0.
-6, 0, 1
Factor i**4 - 10*i**3 + 32*i**2 - 38*i + 15.
(i - 5)*(i - 3)*(i - 1)**2
Factor 2*v**3/7 + 106*v**2/7 - 2*v/7 - 106/7.
2*(v - 1)*(v + 1)*(v + 53)/7
Let -r**5 - 10*r**4 + 12*r**3 + 230*r**2 + 389*r + 180 = 0. Calculate r.
-9, -4, -1, 5
Factor r**5/4 - 5*r**4/4 + 2*r**3 - r**2.
r**2*(r - 2)**2*(r - 1)/4
Factor 2*p**4/5 - 6*p**3/5 + 2*p**2/5 + 6*p/5 - 4/5.
2*(p - 2)*(p - 1)**2*(p + 1)/5
Factor 10*o**3/3 - 26*o**2/9 - 38*o/9 + 34/9.
2*(o - 1)**2*(15*o + 17)/9
Factor -169*l**4 - 2756*l**3 - 11652*l**2 - 3392*l - 256.
-(l + 8)**2*(13*l + 2)**2
Factor -4*g**4 - 28*g**3 - 72*g**2 - 80*g - 32.
-4*(g + 1)*(g + 2)**3
Suppose z**3 - 9*z**2 + 6*z + 16 = 0. Calculate z.
-1, 2, 8
Find d such that d**5/7 - 12*d**4/7 + 17*d**3/7 + 34*d**2/7 - 36*d/7 - 40/7 = 0.
-1, 2, 10
Find n such that -18*n**3/5 - 1596*n**2/5 - 832*n - 2752/5 = 0.
-86, -4/3
Let -4*k**4 - 160*k**3 - 2008*k**2 - 8160*k - 10404 = 0. What is k?
-17, -3
Factor g**2/3 - 520*g + 202800.
(g - 780)**2/3
Determine x, given that 69*x**3 - 972*x**2 + 2361*x - 198 = 0.
2/23, 3, 11
Factor 4*d**3 + 13*d**2 + 11*d + 2.
(d + 1)*(d + 2)*(4*d + 1)
Find g such that -g**2 - 92*g - 267 = 0.
-89, -3
Factor 4*v**2 - 64*v - 320.
4*(v - 20)*(v + 4)
Factor -3*b**3 - 126*b**2 - 1188*b - 3240.
-3*(b + 6)**2*(b + 30)
Factor -80*a**2 - 308*a.
-4*a*(20*a + 77)
What is d in -d**4 + 17*d**3 - 80*d**2 + 64*d = 0?
0, 1, 8
Let 3*a**3/2 + 123*a**2/2 + 171*a = 0. Calculate a.
-38, -3, 0
Suppose 4*j**2 - 32*j + 64 = 0. Calculate j.
4
Factor -3*u**3/4 - 273*u**2/4 + 1131*u/4 - 855/4.
-3*(u - 3)*(u - 1)*(u + 95)/4
Let -h**3/3 - 134*h**2 + 269*h - 404/3 = 0. Calculate h.
-404, 1
Factor -2*u**3/7 + 6*u**2/7 + 18*u/7 + 10/7.
-2*(u - 5)*(u + 1)**2/7
Let 2*a**5/17 - 2*a**4/17 - 2*a**3/17 + 2*a**2/17 = 0. What is a?
-1, 0, 1
Suppose 3*b**4/5 - 443*b**3/5 + 1167*b**2/5 - 1017*b/5 + 58 = 0. Calculate b.
2/3, 1, 145
Let i**3/12 - 25*i**2/12 + 43*i/3 - 21 = 0. Calculate i.
2, 9, 14
Find v such that -27*v**5/4 - 399*v**4/4 - 441*v**3/2 + 81*v**2 + 318*v - 72 = 0.
-12, -2, 2/9, 1
Determine z, given that 2*z**4 - 22*z**3 + 34*z**2 + 22*z - 36 = 0.
-1, 1, 2, 9
Find m, given that 2*m**2/3 - 16*m/3 - 6 = 0.
-1, 9
Solve 2*r**3 + 62*r**2 - 352*r + 288 = 0 for r.
-36, 1, 4
Factor -n**2 + 54*n - 720.
-(n - 30)*(n - 24)
Factor 4*g**2 - 1192*g/5 - 96.
4*(g - 60)*(5*g + 2)/5
What is x in 5*x**5 - 115*x**3 + 330*x**2 - 340*x + 120 = 0?
-6, 1, 2
Solve q**2/5 - 6*q/5 + 8/5 = 0 for q.
2, 4
Suppose -2*z**3/9 + 32*z**2/9 - 10*z/3 = 0. Calculate z.
0, 1, 15
Let 4*s**5 - 12*s**4 - 216*s**3 - 592*s**2 - 480*s = 0. What is s?
-3, -2, 0, 10
Find c such that -69*c**3 - 321*c**2 = 0.
-107/23, 0
Solve 2*b**5/3 + 2*b**4/3 = 0 for b.
-1, 0
Factor -3*r**3 - 276*r**2 - 543*r - 270.
-3*(r + 1)**2*(r + 90)
Factor -z**3/2 + 133*z**2 - 263*z/2 - 265.
-(z - 265)*(z - 2)*(z + 1)/2
Factor 5*c**4/7 - 22*c**3/7 + 4*c**2 - 8*c/7.
c*(c - 2)**2*(5*c - 2)/7
Factor 2*f**4 - 36*f**3 - 6*f**2 + 104*f + 72.
2*(f - 18)*(f - 2)*(f + 1)**2
Factor 3*f**2 - 1164*f + 112908.
3*(f - 194)**2
What is o in -4*o**5/5 - 28*o**4/5 + 4*o**3/5 + 28*o**2/5 = 0?
-7, -1, 0, 1
Let 3*j**2 - 45*j + 78 = 0. Calculate j.
2, 13
Suppose 13*a**2 + 125*a/3 + 8 = 0. What is a?
-3, -8/39
Solve -2*n**2/13 + 348*n/13 - 15138/13 = 0.
87
Suppose -4*q**5 - 68*q**4 - 160*q**3 + 160*q**2 + 704*q + 448 = 0. What is q?
-14, -2, -1, 2
Factor -f**2/3 - 356*f/3.
-f*(f + 356)/3
Factor r**3 - 44*r**2 - 188*r - 192.
(r - 48)*(r + 2)**2
Factor 156*l**2 - 136*l - 20.
4*(l - 1)*(39*l + 5)
Let 5*v**4 - 635*v**3 - 1290*v**2 = 0. What is v?
-2, 0, 129
Factor -4*c**2 - 1080*c - 72900.
-4*(c + 135)**2
Let -2*g**2/17 - 6*g/17 + 80/17 = 0. Calculate g.
-8, 5
Suppose 2*a**2 - 68*a = 0. What is a?
0, 34
Factor 3*x**3 - 16*x**2 - 33*x - 14.
(x - 7)*(x + 1)*(3*x + 2)
Factor -4*b**2 - 64752*b - 262051344.
-4*(b + 8094)**2
What is a in 21*a**2/2 - 993*a/2 + 141 = 0?
2/7, 47
Factor -f**4 + 210*f**3 - 624*f**2 + 622*f - 207.
-(f - 207)*(f - 1)**3
Factor -b**2/4 + 15*b/4 + 46.
-(b - 23)*(b + 8)/4
Factor 27*f**3/7 + 198*f**2/7 + 228*f/7 + 72/7.
3*(f + 6)*(3*f + 2)**2/7
Suppose -3*l**5 + 11*l**4/2 + 10*l**3 + 3*l**2/2 = 0. Calculate l.
-1, -1/6, 0, 3
Factor 3*k**4/7 - k**3 + 3*k**2/7 + 3*k/7 - 2/7.
(k - 1)**3*(3*k + 2)/7
Factor -v**2/4 - 219*v/4 - 215.
-(v + 4)*(v + 215)/4
Factor -c**5 + 3*c**4 + 2*c**3 - 6*c**2 - c + 3.
-(c - 3)*(c - 1)**2*(c + 1)**2
Solve 2*w**5/21 - 32*w**4/7 - 202*w**3/21 + 32*w**2/7 + 200*w/21 = 0.
-2, -1, 0, 1, 50
Find y, given that y**2 - 88*y + 336 = 0.
4, 84
Factor 5*k**3/4 - 15*k/4 + 5/2.
5*(k - 1)**2*(k + 2)/4
Find o such that 2*o**3 - 16*o**2 + 34*o - 20 = 0.
1, 2, 5
Let 24*m**5 - 141*m**4 - 114*m**3 + 564*m**2 + 72*m = 0. Calculate m.
-2, -1/8, 0, 2, 6
Solve 8*u**5/3 + 128*u**4/3 - 98*u**3 - 98*u**2/3 + 184*u/3 + 24 = 0 for u.
-18, -1/2, 1, 2
Find u, given that 11*u**3/10 - 3*u**2/10 - 22*u/5 + 6/5 = 0.
-2, 3/11, 2
Let -3*h**2 + 279*h - 276 = 0. Calculate h.
1, 92
Factor -f**4/7 - 92*f**3/7 - 13*f**2.
-f**2*(f + 1)*(f + 91)/7
Let 3*i**5 - 12*i**3 + 6*i**2 + 9*i - 6 = 0. Calculate i.
-2, -1, 1
Let 68*s**5 - 52*s**4 - 492*s**3 + 772*s**2 - 200*s - 96 = 0. Calculate s.
-3, -4/17, 1, 2
Factor -4*k**4 - 544*k**3 - 27712*k**2 - 626688*k - 5308416.
-4*(k + 32)**2*(k + 36)**2
Determine p so that -4*p**3 - 36*p**2 - 56*p = 0.
-7, -2, 0
Suppose 3*c**2 - 3114*c + 808083 = 0. Calculate c.
519
Suppose -4*o**2 + 268*o + 552 = 0. What is o?
-2, 69
Factor -2*i**2 - 2284*i - 2282.
-2*(i + 1)*(i + 1141)
Factor -3*a**2 + 150*a + 312.
-3*(a - 52)*(a + 2)
Suppose -q**5/3 - 122*q**4/3 - 1240*q**3 + 122*q**2/3 + 3721*q/3 = 0. What is q?
-61, -1, 0, 1
Factor -2*j**2 - 24*j - 40.
-2*(j + 2)*(j + 10)
Factor -2*j**3/5 - 668*j**2/5 + 134*j.
-2*j*(j - 1)*(j + 335)/5
Determine t so that -20*t**4 + 68*t**3 - 4*t**2 - 68*t + 24 = 0.
-1, 2/5, 1, 3
Suppose 4*p**4 - 214*p**3 + 12073*p**2/4 - 4173*p + 1521 = 0. What is p?
3/4, 26
Find p such that p**2/8 + 3*p/4 + 9/8 = 0.
-3
Determine t, given that -2*t**3 + 330*t**2 + 336*t - 664 = 0.
-2, 1, 166
Find j, given that 36*j**5 + 10*j**4 - 40*j**3 - 10*j**2 + 4*j = 0.
-1, -1/2, 0, 2/9, 1
Factor -2*g**2 + g + 1.
-(g - 1)*(2*g + 1)
Factor -f**3/2 - 27*f**2 + 57*f/2 + 55.
-(f - 2)*(f + 1)*(f + 55)/2
Find g, given that 2*g**3/11 + 10*g**2/11 + 12*g/11 = 0.
-3, -2, 0
Factor -a**5/9 + a**3/3 + 2*a**2/9.
-a**2*(a - 2)*(a + 1)**2/9
Find z such that 2*z**3/9 - 86*z**2/9 + 880*z/9 + 968/9 = 0.
-1, 22
Factor 2*u**2/3 - 22*u/3 - 208.
2*(u - 24)*(u + 13)/3
Determine z, given that -98*z**4/5 + 1722*z**3/5 + 804*z**2/5 - 872*z/5 + 144/5 = 0.
-1, 2/7, 18
Factor -p**4/2 + 9*p**3 + 12*p**2 - 49*p + 57/2.
-(p - 19)*(p - 1)**2*(p + 3)/2
Factor -5*t**2 + 125*t + 270.
-5*(t - 27)*(t + 2)
Solve 6476*x**2/5 - 12*x/5 = 0.
0, 3/1619
Find j such that 2*j**4 - 22*j**3 + 46*j**2 + 70*j = 0.
-1, 0, 5, 7
Solve -5*p**5 - 10*p**4 + 10*p**3 + 20*p**2 - 5*p - 10 = 0 for p.
-2, -1, 1
Factor -5*p**3 - 930*p**2 - 57660*p - 1191640.
-5*(p + 62)**3
What is r in r**5/8 - 6*r**4 + 277*r**3/4 - 119*r**2 - 14259*r/8 + 6860 = 0?
-5, 7, 32
What is x in 3*x**2 - 18*x + 15 = 0?
1, 5
Find y, given that 5*y**2 - 65*y - 70 = 0.
-1, 14
Factor -2*l**2/9 + 428*l/9 - 142/3.
-2*(l - 213)*(l - 1)